diff --git a/results/dev/circle/problem_0006.png b/results/dev/circle/problem_0006.png
new file mode 100644
index 0000000000000000000000000000000000000000..d070753839edf1404d5859808908497519d20dbf
--- /dev/null
+++ b/results/dev/circle/problem_0006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1783743c18aef2bc9f5f245461949d8a21fb40bc8abd60c67b9e359676eaa864
+size 231385
diff --git a/results/dev/circle/problem_0021.png b/results/dev/circle/problem_0021.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba93e947408d4f9c875b0ca221dc45e55c2d80ba
--- /dev/null
+++ b/results/dev/circle/problem_0021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10623df691300cacb649cc89bf9cb1a76662fd79ecdc51dd3f69806e1f727980
+size 210822
diff --git a/results/dev/circle/problem_0103.png b/results/dev/circle/problem_0103.png
new file mode 100644
index 0000000000000000000000000000000000000000..460124582b3691b352b2c82e5b40359ef36e59e3
--- /dev/null
+++ b/results/dev/circle/problem_0103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f72637f2fa6b2daab82debede69a14128f7ccc0207401cf48cf0e04dfa0496c
+size 191201
diff --git a/results/dev/circle/problem_0109.png b/results/dev/circle/problem_0109.png
new file mode 100644
index 0000000000000000000000000000000000000000..27392626839b5d670142f185313db5824cbbdc52
--- /dev/null
+++ b/results/dev/circle/problem_0109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:492eced48fc019a6076e9a85909d3d00708f2ae03498fb3eb049bc3b96a1188b
+size 200528
diff --git a/results/dev/circle/problem_0120.png b/results/dev/circle/problem_0120.png
new file mode 100644
index 0000000000000000000000000000000000000000..538c6779a027de27abba9b249c13995417a5e13a
--- /dev/null
+++ b/results/dev/circle/problem_0120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fb7790c062168ba6ffc9812f66b5555618c5d04681be6b72ffc8fd8a1a3130e
+size 193539
diff --git a/results/dev/circle/problem_0258.png b/results/dev/circle/problem_0258.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae85335f89c5c467612beb935a5c6dd12ed0505b
--- /dev/null
+++ b/results/dev/circle/problem_0258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5659b3bd67102c708b8ac6a8189a568965f48e75a3e8423a25cfd0131d1aabe
+size 227932
diff --git a/results/dev/circle/problem_0427.png b/results/dev/circle/problem_0427.png
new file mode 100644
index 0000000000000000000000000000000000000000..bedacbf32612af95f7d2c646ee7fc833cd03bf47
--- /dev/null
+++ b/results/dev/circle/problem_0427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a0ad15918088956a4ac5fd25d8e6df156334fa9ebe5b59faf9bcf88464851d6
+size 222348
diff --git a/results/dev/circle/problem_0441.png b/results/dev/circle/problem_0441.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f28cf31a9042eec09bfc516b8b1d8c5c33ce4e2
--- /dev/null
+++ b/results/dev/circle/problem_0441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2acdf9675029c3bc0149a4b5fab6cb954d1abb19035822a7ba1f843b6c4a976e
+size 200752
diff --git a/results/dev/circle/problem_0482.png b/results/dev/circle/problem_0482.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dc3aef71472d63538a8acae51f982cbf5bfc5b5
--- /dev/null
+++ b/results/dev/circle/problem_0482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb91573f64aa61d55da878c661f39c8910c308d8585bff389b768ee900216e99
+size 231975
diff --git a/results/dev/circle/problem_0595.png b/results/dev/circle/problem_0595.png
new file mode 100644
index 0000000000000000000000000000000000000000..9cee83dfaca94e2123c21093824a737a3e9c56b3
--- /dev/null
+++ b/results/dev/circle/problem_0595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:852f603faaa4d3ae9bc5f67e934204ae5086ff116f513401f668cf8b8b94f0aa
+size 221100
diff --git a/results/dev/circle/problem_0599.png b/results/dev/circle/problem_0599.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0753ddd0a2045c7d6cc77369c3b35543fceed31
--- /dev/null
+++ b/results/dev/circle/problem_0599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:471df74c7de25837138afa9a5f8b58239f5d8d92e792cf18444054a07d77713a
+size 204838
diff --git a/results/dev/circle/problem_0636.png b/results/dev/circle/problem_0636.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9617283a7aac5f3408db75cca496b9b5d61b3fc
--- /dev/null
+++ b/results/dev/circle/problem_0636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8470ff14f3de421397153f5a1cb4a73d8d03fe4fc29e3df54dcfd6b11095687d
+size 230779
diff --git a/results/dev/circle/problem_0650.png b/results/dev/circle/problem_0650.png
new file mode 100644
index 0000000000000000000000000000000000000000..6465e3c8005084fecf21ceb06084e1f4348f27d0
--- /dev/null
+++ b/results/dev/circle/problem_0650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d101fe45b7b63e4ef17f81c7717825818168a02d5bbe94e49bd3b68e263e7ffa
+size 202063
diff --git a/results/dev/circle/problem_0669.png b/results/dev/circle/problem_0669.png
new file mode 100644
index 0000000000000000000000000000000000000000..09b125a9a731ac9273f30f0c736197c2c3dd5a41
--- /dev/null
+++ b/results/dev/circle/problem_0669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7ad4161463b696a04ca37c55310b25f07b21ba32786832f682287dac5e3f2c9
+size 239680
diff --git a/results/dev/ellipse/problem_0001.png b/results/dev/ellipse/problem_0001.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b46002bc4c07c9508c5a388492203e52d40ccda
--- /dev/null
+++ b/results/dev/ellipse/problem_0001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94866b29eacea28369678b628dda1915ae3103cb94dfbaf71a007cbdab93387f
+size 195026
diff --git a/results/dev/ellipse/problem_0007.png b/results/dev/ellipse/problem_0007.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e23d11c0f04343102bf5581ce9cb33ee4acdc03
--- /dev/null
+++ b/results/dev/ellipse/problem_0007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e58c4ee2e98e9848dc3fa0440fe72752e9dd13850a5bb7ea74be7854a9d64e1
+size 208382
diff --git a/results/dev/ellipse/problem_0011.png b/results/dev/ellipse/problem_0011.png
new file mode 100644
index 0000000000000000000000000000000000000000..ceeb4b05a37e1ab552e0ab1e6833264cea415df4
--- /dev/null
+++ b/results/dev/ellipse/problem_0011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3b81d609c7ad759d8da08374bf243e0df8359ed4b482c15b9826f24db4b267e
+size 212862
diff --git a/results/dev/ellipse/problem_0015.png b/results/dev/ellipse/problem_0015.png
new file mode 100644
index 0000000000000000000000000000000000000000..e82c76126065ab1a73bb07794d0de8c430781a3e
--- /dev/null
+++ b/results/dev/ellipse/problem_0015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c52bd9ae8faf46e8583018fa1c095c27f2f094879d81700b208796917453bff1
+size 233840
diff --git a/results/dev/ellipse/problem_0029.png b/results/dev/ellipse/problem_0029.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd59ae61f43c2ee73605ea14908b55cb5c8c29f1
--- /dev/null
+++ b/results/dev/ellipse/problem_0029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b42cc9284b890a1c8db2b7654cbbb1e8958d9332d36eeae4172f8048de77085
+size 222167
diff --git a/results/dev/ellipse/problem_0032.png b/results/dev/ellipse/problem_0032.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbcdb28f16613764c226427425d5c6162c38ab27
--- /dev/null
+++ b/results/dev/ellipse/problem_0032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8460f17770033e14c477bd1005502857df8e09b432bc6af6ae7dd48939d51c5
+size 210475
diff --git a/results/dev/ellipse/problem_0033.png b/results/dev/ellipse/problem_0033.png
new file mode 100644
index 0000000000000000000000000000000000000000..712e3392ce3b2f121e61241264937c288b828224
--- /dev/null
+++ b/results/dev/ellipse/problem_0033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc56c337077c729061e83b473f834413a066b9570c8d18035191c73ef0882f5b
+size 226410
diff --git a/results/dev/ellipse/problem_0034.png b/results/dev/ellipse/problem_0034.png
new file mode 100644
index 0000000000000000000000000000000000000000..98680614a9c47dd6fdbfbdc64d4e2cfb1c4ba68f
--- /dev/null
+++ b/results/dev/ellipse/problem_0034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9f1d11abadb18fce8fc72fc2750fc8312a3e414a36a1e873985ae4425d8483f
+size 221503
diff --git a/results/dev/ellipse/problem_0041.png b/results/dev/ellipse/problem_0041.png
new file mode 100644
index 0000000000000000000000000000000000000000..3289e815b905a2b3b02918904a9c16b9b0fa3a8b
--- /dev/null
+++ b/results/dev/ellipse/problem_0041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffc5482200d9e323e19c4fbdc441d6313967d7f9d5707f55f402dac32f7dfc2d
+size 232359
diff --git a/results/dev/ellipse/problem_0042.png b/results/dev/ellipse/problem_0042.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ff34953f461ff69586c05a592165c31b51e79a7
--- /dev/null
+++ b/results/dev/ellipse/problem_0042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84c0fb41fab109bfb55da2c39e47d635c2820f37f354154ad89084a280dfc9c9
+size 236564
diff --git a/results/dev/ellipse/problem_0047.png b/results/dev/ellipse/problem_0047.png
new file mode 100644
index 0000000000000000000000000000000000000000..f91b6f6e8a200ee61fd9a205b9a120b3177f8c9c
--- /dev/null
+++ b/results/dev/ellipse/problem_0047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1739d1c5fe0bd26f23b4bd66a74f1155ad5167c876e9c8436e529a0b4ebd3b5
+size 180535
diff --git a/results/dev/ellipse/problem_0052.png b/results/dev/ellipse/problem_0052.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e8ec5569ec2845102f240fd75b9b23d9eec0640
--- /dev/null
+++ b/results/dev/ellipse/problem_0052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbf652916d0d9c57e941da0297ef5ed2f76d9035bc6447752d4cce14c72b8aae
+size 227985
diff --git a/results/dev/ellipse/problem_0055.png b/results/dev/ellipse/problem_0055.png
new file mode 100644
index 0000000000000000000000000000000000000000..a33e1db05fed7817db9a8204288bdb25309fd9ea
--- /dev/null
+++ b/results/dev/ellipse/problem_0055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:734907e3fc433a986feede9d7fb1e5486a967e2cdea0dc6bf0ed4f16b06d562b
+size 237797
diff --git a/results/dev/ellipse/problem_0056.png b/results/dev/ellipse/problem_0056.png
new file mode 100644
index 0000000000000000000000000000000000000000..da90d49c3fa5049e4a6288e527229f6cb8db3ee7
--- /dev/null
+++ b/results/dev/ellipse/problem_0056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb859aac767dbccd80926ee799b66377a637cd5211f604ea6fcb3e096b16f189
+size 206333
diff --git a/results/dev/ellipse/problem_0062.png b/results/dev/ellipse/problem_0062.png
new file mode 100644
index 0000000000000000000000000000000000000000..84a815d372b859b519caedd216380b375647c3bb
--- /dev/null
+++ b/results/dev/ellipse/problem_0062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cc76cc1e7a35d112982ebd30953a02420567f0a80cd96f0f992e30b440e9a16
+size 228616
diff --git a/results/dev/ellipse/problem_0065.png b/results/dev/ellipse/problem_0065.png
new file mode 100644
index 0000000000000000000000000000000000000000..d95d7c7f7e325bac13b282e43cec5bb18166f5a7
--- /dev/null
+++ b/results/dev/ellipse/problem_0065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:514e813a4dcc0f397c81c72e86675ff05d1c62802359dbfb2d0e5a8e29121246
+size 224775
diff --git a/results/dev/ellipse/problem_0066.png b/results/dev/ellipse/problem_0066.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b1398a70ca219e1e81a51c0d9eddbef6034b26a
--- /dev/null
+++ b/results/dev/ellipse/problem_0066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a80b06701a045323b658c6f2621804348539a786e97c3ad4b1f41a556cd12d0
+size 197111
diff --git a/results/dev/ellipse/problem_0070.png b/results/dev/ellipse/problem_0070.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eb7f8a09a055d152e8f06163c820823bf1092bd
--- /dev/null
+++ b/results/dev/ellipse/problem_0070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9daa7331545e89917645626ac36091b086e7fe9938d13455c5bd7590ed7687e3
+size 197401
diff --git a/results/dev/ellipse/problem_0071.png b/results/dev/ellipse/problem_0071.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d6fb7aef9dadb6bc3f18aca9a7ec0034b5fcb4d
--- /dev/null
+++ b/results/dev/ellipse/problem_0071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f9efcb1cea56f8d271586c71a91e1b757a19f876a8bcb587f6b15c9304019aa
+size 219048
diff --git a/results/dev/ellipse/problem_0080.png b/results/dev/ellipse/problem_0080.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f5fa80aed6f94b4b5fae39c500ea1844f566637
--- /dev/null
+++ b/results/dev/ellipse/problem_0080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd64862ba6609e76490d3bdd9463938117a9e98f7f19f7a8093383462d95f595
+size 224033
diff --git a/results/dev/ellipse/problem_0083.png b/results/dev/ellipse/problem_0083.png
new file mode 100644
index 0000000000000000000000000000000000000000..495dfd5d38054bf3d9f3ca48347995b4aa4eadd9
--- /dev/null
+++ b/results/dev/ellipse/problem_0083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5aac4f2cc119cf9446ae33ed6538324b77c9e59f317bbfcdb80c91fe0dede436
+size 248947
diff --git a/results/dev/ellipse/problem_0084.png b/results/dev/ellipse/problem_0084.png
new file mode 100644
index 0000000000000000000000000000000000000000..6abf58cf59422cab44194a165c52ddfac13abf11
--- /dev/null
+++ b/results/dev/ellipse/problem_0084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:015159c7cb0f6772b54ca62d74b5a72443ec6e5eff6e1bf7f172f25e831f3d68
+size 218582
diff --git a/results/dev/ellipse/problem_0098.png b/results/dev/ellipse/problem_0098.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff1c10b4ec2f54f89bb73cb66035ca92a5e358af
--- /dev/null
+++ b/results/dev/ellipse/problem_0098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdcb6ca8860eeb88acd9c33171b1f36ea57acc71b48090f53afee191150f91ad
+size 225968
diff --git a/results/dev/ellipse/problem_0104.png b/results/dev/ellipse/problem_0104.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb927bc8559019ade56e96192a83d80e4ff9ac7b
--- /dev/null
+++ b/results/dev/ellipse/problem_0104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:544f65905286b19492ae81ba2cebdec1d68fcdce42b4d498ddf45e3d9d36c6c2
+size 238122
diff --git a/results/dev/ellipse/problem_0110.png b/results/dev/ellipse/problem_0110.png
new file mode 100644
index 0000000000000000000000000000000000000000..16c562b184c3743f7d25dfaf9b4a9c509fb043b1
--- /dev/null
+++ b/results/dev/ellipse/problem_0110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a68eea49c11d3686266d1fa291e93fa899a8e8e0ca343fd925d92852822ffbef
+size 214627
diff --git a/results/dev/ellipse/problem_0118.png b/results/dev/ellipse/problem_0118.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b77a283fc3d1870c81638f6242448a5f69aa12e
--- /dev/null
+++ b/results/dev/ellipse/problem_0118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6467557a9771d15a3ff74862f977fc9dcb4933aa129e00503a58d442e2b14826
+size 227409
diff --git a/results/dev/ellipse/problem_0121.png b/results/dev/ellipse/problem_0121.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3dc9723787fb803b847d78bf0292d2b4c62e949
--- /dev/null
+++ b/results/dev/ellipse/problem_0121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5eabbdaf6bdcc5a5cbd3896c23f2b8edcb935156758fe17dea346170f12778ed
+size 227592
diff --git a/results/dev/ellipse/problem_0125.png b/results/dev/ellipse/problem_0125.png
new file mode 100644
index 0000000000000000000000000000000000000000..b16b5901ee470c0ed94ad97d8a843713af287d13
--- /dev/null
+++ b/results/dev/ellipse/problem_0125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28e191132f4784693ccb1b2a93e7f9d6ba32f0d2d808ef1f5213bb49edccbf09
+size 211192
diff --git a/results/dev/ellipse/problem_0135.png b/results/dev/ellipse/problem_0135.png
new file mode 100644
index 0000000000000000000000000000000000000000..b135e7b8b7ce004959e19165ff4b11705ebff52b
--- /dev/null
+++ b/results/dev/ellipse/problem_0135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a16d51c0c25213efc261b7acc824419aec61b1d212906bf8ac4afe7717b0089
+size 231010
diff --git a/results/dev/ellipse/problem_0137.png b/results/dev/ellipse/problem_0137.png
new file mode 100644
index 0000000000000000000000000000000000000000..8941c3e3b37dd6e04113d764f8b8d1ab799ce76f
--- /dev/null
+++ b/results/dev/ellipse/problem_0137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bec1b8793d029958aac93efa2386ca608bd9984e098b448d6edbde72749c0576
+size 192456
diff --git a/results/dev/ellipse/problem_0146.png b/results/dev/ellipse/problem_0146.png
new file mode 100644
index 0000000000000000000000000000000000000000..eee7780f84cb6664328b3dee31fefa2a10ea4626
--- /dev/null
+++ b/results/dev/ellipse/problem_0146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d1075584fbcf64cdbcfe4d75f3a290d686f84fcd1f7976f8bbae9fc0c25f03e
+size 246920
diff --git a/results/dev/ellipse/problem_0149.png b/results/dev/ellipse/problem_0149.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ae1898cadbec4fd3f38b58107ee84147791cc6e
--- /dev/null
+++ b/results/dev/ellipse/problem_0149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b495dace1f7d0f1fdff45f9bbdd44bda52f723b343dfaa6ec1d647d238004c4f
+size 231506
diff --git a/results/dev/ellipse/problem_0154.png b/results/dev/ellipse/problem_0154.png
new file mode 100644
index 0000000000000000000000000000000000000000..a43843fc759e06ec4ca824b8c567fd6aecbfb7bc
--- /dev/null
+++ b/results/dev/ellipse/problem_0154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e43c01a19190a03d2cec288d931c81459af9ff53266d97d508f79d910f68be9b
+size 220117
diff --git a/results/dev/ellipse/problem_0165.png b/results/dev/ellipse/problem_0165.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1c8b2f7bad8aed7d42b527277d6e557e181a3f1
--- /dev/null
+++ b/results/dev/ellipse/problem_0165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d489fb0fcf29f84ffef3a4f26eac71dd635d476954f8e0f8065461ed79689b88
+size 221619
diff --git a/results/dev/ellipse/problem_0166.png b/results/dev/ellipse/problem_0166.png
new file mode 100644
index 0000000000000000000000000000000000000000..07446237321b9b675336a667c7367dbb890ec480
--- /dev/null
+++ b/results/dev/ellipse/problem_0166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1684b2a4c589074fb3d8f4951f05aa76ce1509e01fe5534f7fc755226f9e4cc5
+size 217332
diff --git a/results/dev/ellipse/problem_0167.png b/results/dev/ellipse/problem_0167.png
new file mode 100644
index 0000000000000000000000000000000000000000..60b14ce1e6402e24d5b0ff6252f71183a72734a7
--- /dev/null
+++ b/results/dev/ellipse/problem_0167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6153eddfc84fae086999dd4cb22bc9c7cd36eb306d3e656837524740811f5cf
+size 184207
diff --git a/results/dev/ellipse/problem_0168.png b/results/dev/ellipse/problem_0168.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9e0d290dd6c85a23888f32e275f9905efa784c3
--- /dev/null
+++ b/results/dev/ellipse/problem_0168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:399857bf70b681b9df7ff962b4377985be1a46669979d7c3ac0049c3529a72b2
+size 228410
diff --git a/results/dev/ellipse/problem_0174.png b/results/dev/ellipse/problem_0174.png
new file mode 100644
index 0000000000000000000000000000000000000000..80b9228a6e8d41215e7551dc43f56fa0d9de27b9
--- /dev/null
+++ b/results/dev/ellipse/problem_0174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfc34790d3695634c36d0ef86c6f6dc735d1ba534b0b8300846ce23bdf303310
+size 227109
diff --git a/results/dev/ellipse/problem_0183.png b/results/dev/ellipse/problem_0183.png
new file mode 100644
index 0000000000000000000000000000000000000000..a87f2360da63f9580122b1b68a1f5314b55edce8
--- /dev/null
+++ b/results/dev/ellipse/problem_0183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:804e4cec088c5884985977b093c4eefc3142f7cf8a9f4f83197e9f2ad18eeb34
+size 229685
diff --git a/results/dev/ellipse/problem_0184.png b/results/dev/ellipse/problem_0184.png
new file mode 100644
index 0000000000000000000000000000000000000000..617c2a0cd98807a0fb0445e6af8cce8b0ff0123f
--- /dev/null
+++ b/results/dev/ellipse/problem_0184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4746abd1058a4265346271454edd7232d26354b9e820dd0ff8d43e7340e5ccd9
+size 217179
diff --git a/results/dev/ellipse/problem_0192.png b/results/dev/ellipse/problem_0192.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f061e497370d9d531757b8a8a4f6dd847934c86
--- /dev/null
+++ b/results/dev/ellipse/problem_0192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bfa7b16ac63b89c865e6f246092bf9a689e2a73f4d58468288d0271bcdf2861
+size 235211
diff --git a/results/dev/ellipse/problem_0196.png b/results/dev/ellipse/problem_0196.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa9b1244ef74182c8f284b532d2ea15140a4a62e
--- /dev/null
+++ b/results/dev/ellipse/problem_0196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f313a8cda5460dc0bc0f771a1fd09b8ac3f6b599f642bbc7d4efe4aa131adda7
+size 217799
diff --git a/results/dev/ellipse/problem_0201.png b/results/dev/ellipse/problem_0201.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a7233e1f0758944c0cb558f58bca0f29f4016e3
--- /dev/null
+++ b/results/dev/ellipse/problem_0201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b5e66af5c7e7670938f1620747e778d9ec85fd769cca2ba31a737d297a5a363
+size 219468
diff --git a/results/dev/ellipse/problem_0209.png b/results/dev/ellipse/problem_0209.png
new file mode 100644
index 0000000000000000000000000000000000000000..39bf7829af0cf7c9c0f19c47f8e9c19e5e1485b8
--- /dev/null
+++ b/results/dev/ellipse/problem_0209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5661c62e8da31c7f956dbe8ac7802821c66263375f9c709a48d3e56f760c88a
+size 216871
diff --git a/results/dev/ellipse/problem_0210.png b/results/dev/ellipse/problem_0210.png
new file mode 100644
index 0000000000000000000000000000000000000000..b435e1b798476fd8275830477700c17dc6336220
--- /dev/null
+++ b/results/dev/ellipse/problem_0210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0295d764b61349e9212f0cae06e5ef1b5922ac9d4151d4eb1a4b1c7704238558
+size 227574
diff --git a/results/dev/ellipse/problem_0216.png b/results/dev/ellipse/problem_0216.png
new file mode 100644
index 0000000000000000000000000000000000000000..900c1d9485c356010731deea5fcce01835f4b00c
--- /dev/null
+++ b/results/dev/ellipse/problem_0216.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91a0c9113e9bb9ec7681f5fb85b2afeb28b600f59a2a304d2efab04c7b6dffcd
+size 217866
diff --git a/results/dev/ellipse/problem_0218.png b/results/dev/ellipse/problem_0218.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ee58958cf474508d83b8f61d7ef8ff21f56b4e3
--- /dev/null
+++ b/results/dev/ellipse/problem_0218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc90fc17eefdb2657c4fc898892aa5e5fa2619bcb1932e88678a0cadf786e224
+size 202407
diff --git a/results/dev/ellipse/problem_0225.png b/results/dev/ellipse/problem_0225.png
new file mode 100644
index 0000000000000000000000000000000000000000..884ef13dcccbdf8832cd32a8437ef1024f88d9a6
--- /dev/null
+++ b/results/dev/ellipse/problem_0225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c2dfad3ab39aac967a176beac9bf55d4336a79d752ad90f1e197771b65302ed
+size 222450
diff --git a/results/dev/ellipse/problem_0230.png b/results/dev/ellipse/problem_0230.png
new file mode 100644
index 0000000000000000000000000000000000000000..279fff91e3d1b04f650f9d29bc78bbcd66a850d9
--- /dev/null
+++ b/results/dev/ellipse/problem_0230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92b6d9a7ae7b27fe837d97b028cfc4e862cf9d328933eacefb3cb4066b314789
+size 237452
diff --git a/results/dev/ellipse/problem_0232.png b/results/dev/ellipse/problem_0232.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c3c31a270d404d8ebd3fcd82f9a722ab026827f
--- /dev/null
+++ b/results/dev/ellipse/problem_0232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:abe3c388dc223327e127dfb7248f76f87dfbffff2b7d6773e833a940fd7cc2d0
+size 204703
diff --git a/results/dev/ellipse/problem_0234.png b/results/dev/ellipse/problem_0234.png
new file mode 100644
index 0000000000000000000000000000000000000000..c95158759c1397482949d88792d960a90420005d
--- /dev/null
+++ b/results/dev/ellipse/problem_0234.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25f24434840e477dafc070c33853fa1fd94575ecd96ff802e9c906901c8942fc
+size 198777
diff --git a/results/dev/ellipse/problem_0235.png b/results/dev/ellipse/problem_0235.png
new file mode 100644
index 0000000000000000000000000000000000000000..1aade27c626723078ff3530f9987abbeecb58e99
--- /dev/null
+++ b/results/dev/ellipse/problem_0235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0f6f4076dee984dcf244c2b8b45d7f43fde9a6cc3d39da8f2520e607bac18f0
+size 221229
diff --git a/results/dev/ellipse/problem_0239.png b/results/dev/ellipse/problem_0239.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcbf107ccd33cc3b05906698321a30555b5f8e97
--- /dev/null
+++ b/results/dev/ellipse/problem_0239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c68c88d7359bcb4ef7642167a73becc18c9b4c086e15380d937f02f47c659cdb
+size 248769
diff --git a/results/dev/ellipse/problem_0240.png b/results/dev/ellipse/problem_0240.png
new file mode 100644
index 0000000000000000000000000000000000000000..7091a0ae564160d168766101ffeb6c79a0634c60
--- /dev/null
+++ b/results/dev/ellipse/problem_0240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9584fa6e0014a3ed90ec95278cf19b5610c37f064c0acd3116839a00c617b2e1
+size 229871
diff --git a/results/dev/ellipse/problem_0241.png b/results/dev/ellipse/problem_0241.png
new file mode 100644
index 0000000000000000000000000000000000000000..72b3e21197e74890a0e2fb5a359a4bf38b2923e5
--- /dev/null
+++ b/results/dev/ellipse/problem_0241.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9676fe55ea291e016f20c1a1844f66a65d85191de7019296f07b9ceb6dc55368
+size 233364
diff --git a/results/dev/ellipse/problem_0243.png b/results/dev/ellipse/problem_0243.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7d86c6fcbe98002bb4428a4e3cc211cb4385004
--- /dev/null
+++ b/results/dev/ellipse/problem_0243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d75f80639353b65b82bbd1cdcac6a29c578881386ed7391bd560d18507117bf
+size 212537
diff --git a/results/dev/ellipse/problem_0244.png b/results/dev/ellipse/problem_0244.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee090e2dfdeff610fde8618d362d6e9acce34fe4
--- /dev/null
+++ b/results/dev/ellipse/problem_0244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec9b75d94adceaa82ca3c1b11848f44024d900a3e311d54bc9b19909836a8187
+size 219818
diff --git a/results/dev/ellipse/problem_0246.png b/results/dev/ellipse/problem_0246.png
new file mode 100644
index 0000000000000000000000000000000000000000..f75f45386c83ea34ac806207e18be8b054424b4d
--- /dev/null
+++ b/results/dev/ellipse/problem_0246.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09ca36d8c8ea72591327d4fc614568694f14c69a84255e1c07fdc88cfcbec3e8
+size 224370
diff --git a/results/dev/ellipse/problem_0248.png b/results/dev/ellipse/problem_0248.png
new file mode 100644
index 0000000000000000000000000000000000000000..611965f742a540a185897f09ab2ee7579580e66e
--- /dev/null
+++ b/results/dev/ellipse/problem_0248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e239167c1eb5841956fddc2e452a9469ffeddff8b1108e2e5a389afbf27e19e
+size 232458
diff --git a/results/dev/ellipse/problem_0257.png b/results/dev/ellipse/problem_0257.png
new file mode 100644
index 0000000000000000000000000000000000000000..db87bc2bf23603528c4fccfe11699e98b5681a30
--- /dev/null
+++ b/results/dev/ellipse/problem_0257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:293e3699a47ba9a6bd097282fef4cfa78b048b9284913dc9e945f0eaed73adc4
+size 201470
diff --git a/results/dev/ellipse/problem_0259.png b/results/dev/ellipse/problem_0259.png
new file mode 100644
index 0000000000000000000000000000000000000000..f73bc3fc0836b93e42794ea0e56934a79ef82b37
--- /dev/null
+++ b/results/dev/ellipse/problem_0259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4b7a3e0cd36e410d3fea8ccfa6832f95b753a5c6541cb2824c11b0bbdbd0e31
+size 240028
diff --git a/results/dev/ellipse/problem_0262.png b/results/dev/ellipse/problem_0262.png
new file mode 100644
index 0000000000000000000000000000000000000000..b54d7eec0227b1c13220ccbb7542230dcbe5455a
--- /dev/null
+++ b/results/dev/ellipse/problem_0262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7055ad1c373d6c8b9517968a57731b5c077d676919e78f8f4334f98c3f075348
+size 198730
diff --git a/results/dev/ellipse/problem_0267.png b/results/dev/ellipse/problem_0267.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2681fc4ce15114877cc3a59887cb08778ed0f30
--- /dev/null
+++ b/results/dev/ellipse/problem_0267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6add922a7a35efe37eafb5e4d3630fa5385b70d1737ab6af7d97d76ee5e904b1
+size 209123
diff --git a/results/dev/ellipse/problem_0282.png b/results/dev/ellipse/problem_0282.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a3410c259c465a4e18fd64085ad4e12d91a2b8b
--- /dev/null
+++ b/results/dev/ellipse/problem_0282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a093b3a75e6ef0484e32fe2f1cdf95530b7da0ab716e70195677a72c42ee711
+size 229101
diff --git a/results/dev/ellipse/problem_0287.png b/results/dev/ellipse/problem_0287.png
new file mode 100644
index 0000000000000000000000000000000000000000..d869fb81041e42e99c14a6a718cb5814826a6776
--- /dev/null
+++ b/results/dev/ellipse/problem_0287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:704549cff77f24dd494e46bf8b55a24e332db843123005a21bbd3fed767c3713
+size 222649
diff --git a/results/dev/ellipse/problem_0294.png b/results/dev/ellipse/problem_0294.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d43bb723416a5fdbe747dba51923911d54fd2ad
--- /dev/null
+++ b/results/dev/ellipse/problem_0294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d75120d2a6721093dda5d25d18bcd809a6cbcc698cdc5d07728c0f27dcd692e
+size 240060
diff --git a/results/dev/ellipse/problem_0297.png b/results/dev/ellipse/problem_0297.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c601ba283a109dc1975673ecc52d5aadd22edd5
--- /dev/null
+++ b/results/dev/ellipse/problem_0297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bdc757a8d2d170136f9c0b6abea940d00bcc9e353e04c8d3f657aebd42306a5
+size 218216
diff --git a/results/dev/ellipse/problem_0299.png b/results/dev/ellipse/problem_0299.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0616d3fadb49546802f1be44381dd692cd1fa0d
--- /dev/null
+++ b/results/dev/ellipse/problem_0299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a182c4f949653b13b416c64cc277f794149c48a21829fdcbff52f4ef642cef3f
+size 188188
diff --git a/results/dev/ellipse/problem_0303.png b/results/dev/ellipse/problem_0303.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d31d9d6b845d9c08e5c1ec914d74485b33eace6
--- /dev/null
+++ b/results/dev/ellipse/problem_0303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f4594463478b57de5506164609f6ba986d15a0bf0ea21678e459bfe66380cbf
+size 224856
diff --git a/results/dev/ellipse/problem_0308.png b/results/dev/ellipse/problem_0308.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d6edffa2cd569dd06c8c3d2506ff66373653f53
--- /dev/null
+++ b/results/dev/ellipse/problem_0308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b28e3e5ebab3f6554d10b7ed108c4965960211890c095c25275f11cd77519120
+size 230817
diff --git a/results/dev/ellipse/problem_0309.png b/results/dev/ellipse/problem_0309.png
new file mode 100644
index 0000000000000000000000000000000000000000..4389d9baecf111e315bff0d1dfece1302c7ce5e1
--- /dev/null
+++ b/results/dev/ellipse/problem_0309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bc94c83056f678d7b46a98175b876cd8a8623d221ab6317d9e5dfbff722300d
+size 235355
diff --git a/results/dev/ellipse/problem_0310.png b/results/dev/ellipse/problem_0310.png
new file mode 100644
index 0000000000000000000000000000000000000000..e27ae9497231beb08d0e4c1507cc3304b1071f1e
--- /dev/null
+++ b/results/dev/ellipse/problem_0310.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72ba68bb37da4cd134af00854bf1006d2a8cb9e335ea90db72bc315353e5fb13
+size 223672
diff --git a/results/dev/ellipse/problem_0314.png b/results/dev/ellipse/problem_0314.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b8c011a131764ce62ea02b198f0c815fdf0b51d
--- /dev/null
+++ b/results/dev/ellipse/problem_0314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7529f71f4698df0a367120955781cd1a53a62170021a218cd5373b64288bd3a1
+size 220218
diff --git a/results/dev/ellipse/problem_0315.png b/results/dev/ellipse/problem_0315.png
new file mode 100644
index 0000000000000000000000000000000000000000..64f8572527d9470469ed3cad67093a51143bd149
--- /dev/null
+++ b/results/dev/ellipse/problem_0315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d6e26e395f9f7ffb3b80133caee90973cf0dc983ab39e2d249daf2765005c62
+size 217346
diff --git a/results/dev/ellipse/problem_0316.png b/results/dev/ellipse/problem_0316.png
new file mode 100644
index 0000000000000000000000000000000000000000..2edd76c96da7baed5d1f5f26e2270d36d83e7085
--- /dev/null
+++ b/results/dev/ellipse/problem_0316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3de72ae0098f02516487925d1d156560f72e74092c237102dc1c4fdc3f1b0aa5
+size 220533
diff --git a/results/dev/ellipse/problem_0326.png b/results/dev/ellipse/problem_0326.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd1d0974bd32cda0d7f1310165f4d780b697073a
--- /dev/null
+++ b/results/dev/ellipse/problem_0326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef6669c7c0d175c5891fd1ef4a7265e8296e3115428731951af1d24c4d8bcadc
+size 217740
diff --git a/results/dev/ellipse/problem_0342.png b/results/dev/ellipse/problem_0342.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eb4e8e802c6e5b04ebb523982e465da1249f295
--- /dev/null
+++ b/results/dev/ellipse/problem_0342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f1eed9e94c10f636cd43761b95ab3359e6018f3b3ea9644adf4adb172eeced0
+size 235226
diff --git a/results/dev/ellipse/problem_0343.png b/results/dev/ellipse/problem_0343.png
new file mode 100644
index 0000000000000000000000000000000000000000..efae5f5f9c2817c80373b8e16bb325da1618b058
--- /dev/null
+++ b/results/dev/ellipse/problem_0343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e4c0f5e9c7c13abddf50bf7b767f379d31bf474d94f2906f900d78156199fdc
+size 191302
diff --git a/results/dev/ellipse/problem_0347.png b/results/dev/ellipse/problem_0347.png
new file mode 100644
index 0000000000000000000000000000000000000000..96e7d065c4b8fe6e72ec92e7443aec915921c3f0
--- /dev/null
+++ b/results/dev/ellipse/problem_0347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfd458532bb70e46f7b44157cd6e758757c24f6b2e78f212b92f080eb2d10ebf
+size 220017
diff --git a/results/dev/ellipse/problem_0351.png b/results/dev/ellipse/problem_0351.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd37526f76051540ebc00afdc0dbbb6efa362174
--- /dev/null
+++ b/results/dev/ellipse/problem_0351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7e1eea7638fa024290ca4f925115781700b0d6a1c50776dc7082268a6c4b8e5
+size 205768
diff --git a/results/dev/ellipse/problem_0357.png b/results/dev/ellipse/problem_0357.png
new file mode 100644
index 0000000000000000000000000000000000000000..146bcbc8a7c0a0f20b24838bef116193fc6a7226
--- /dev/null
+++ b/results/dev/ellipse/problem_0357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0127da9154180ccf0935d029ff66a246bed4be1ee19220fb0a574b1ac5d37a86
+size 236174
diff --git a/results/dev/ellipse/problem_0363.png b/results/dev/ellipse/problem_0363.png
new file mode 100644
index 0000000000000000000000000000000000000000..34c36a5c5f8a9d268daf19dacc9d7337c8e7a96c
--- /dev/null
+++ b/results/dev/ellipse/problem_0363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fff4f3095aab97a73e598bc2f80e025d39951e14f83bbb4672bbeb1d90d0d565
+size 223744
diff --git a/results/dev/ellipse/problem_0364.png b/results/dev/ellipse/problem_0364.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad449eeddbf506a2e1dd57b9e73ea7c0e7258359
--- /dev/null
+++ b/results/dev/ellipse/problem_0364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb94fd1882bbedc3b6d5040001739cc9ac6d91d49f5385eda68f35a7574949cd
+size 213054
diff --git a/results/dev/ellipse/problem_0366.png b/results/dev/ellipse/problem_0366.png
new file mode 100644
index 0000000000000000000000000000000000000000..e39b99ec665f66da9598cc3de6e55fbf46b2bbee
--- /dev/null
+++ b/results/dev/ellipse/problem_0366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f49bec10812a251d9ec642d2583f070b5ccbeadd85a33b8c07be5ddda4affa5e
+size 229681
diff --git a/results/dev/ellipse/problem_0367.png b/results/dev/ellipse/problem_0367.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f27dee286de1a5959be5703577f59802646f046
--- /dev/null
+++ b/results/dev/ellipse/problem_0367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdd9c3fd33775ffa17b901cbcada9fd66c479c508b75622afd39c4fa0e6a5e2c
+size 229204
diff --git a/results/dev/ellipse/problem_0388.png b/results/dev/ellipse/problem_0388.png
new file mode 100644
index 0000000000000000000000000000000000000000..a681da60a03972ae57325f049e8e2cbc2033cc7f
--- /dev/null
+++ b/results/dev/ellipse/problem_0388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d032654c13f7a708512818d2f2bfe6faad3f8d54855c3644437be86f0a337e
+size 226758
diff --git a/results/dev/ellipse/problem_0394.png b/results/dev/ellipse/problem_0394.png
new file mode 100644
index 0000000000000000000000000000000000000000..32cc01a48441da8d26359cee965240490666af64
--- /dev/null
+++ b/results/dev/ellipse/problem_0394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1dcb95dfc6c859d08eabc5864cea9ff5c420ddba4057081e5ee4b985e46de7f
+size 219627
diff --git a/results/dev/ellipse/problem_0400.png b/results/dev/ellipse/problem_0400.png
new file mode 100644
index 0000000000000000000000000000000000000000..e320d22fa67a374a623861fbe576a7ebdf6dd51b
--- /dev/null
+++ b/results/dev/ellipse/problem_0400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c43397e8baecc408927d1a27a45fba06580487cbcc5a0717f8af63c0e41621f
+size 216725
diff --git a/results/dev/ellipse/problem_0403.png b/results/dev/ellipse/problem_0403.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8eb9e922fd661e38d2abe4ca175f5f2bf01c04c
--- /dev/null
+++ b/results/dev/ellipse/problem_0403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:addd76c966f88fc6b0b2e64358243b62be809bb3d552e609a99ce257a7385136
+size 219660
diff --git a/results/dev/ellipse/problem_0413.png b/results/dev/ellipse/problem_0413.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c93a5b9d2206eace8df35cf677b7bbba7b46cdb
--- /dev/null
+++ b/results/dev/ellipse/problem_0413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:787c7c9ad850efc3d7397a4a8ae88eacb0c55cfe05b6b8041e3130979e9994de
+size 226780
diff --git a/results/dev/ellipse/problem_0417.png b/results/dev/ellipse/problem_0417.png
new file mode 100644
index 0000000000000000000000000000000000000000..39559d456d9a8077a1eb14f70d56fb66b2a84f97
--- /dev/null
+++ b/results/dev/ellipse/problem_0417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:241de18dabc3e47efbb39d3ca3f4ac8499d20edf7baf3e133d30ac1dd1415394
+size 228310
diff --git a/results/dev/ellipse/problem_0430.png b/results/dev/ellipse/problem_0430.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf58a642e9caecc51a8a51faedb701891d67413d
--- /dev/null
+++ b/results/dev/ellipse/problem_0430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff09bcb62ad7604c9d38ecd49d7c2efc1ed4aa66128c5cc31af55c6cc9466838
+size 233328
diff --git a/results/dev/ellipse/problem_0438.png b/results/dev/ellipse/problem_0438.png
new file mode 100644
index 0000000000000000000000000000000000000000..42f40e3674d41392c7c0e7a2efbc921d262f0f42
--- /dev/null
+++ b/results/dev/ellipse/problem_0438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82104cd2bf5e7b494e34d7af6b5ac4608dca5a63c759b4dc6923f94a3824eba6
+size 221251
diff --git a/results/dev/ellipse/problem_0444.png b/results/dev/ellipse/problem_0444.png
new file mode 100644
index 0000000000000000000000000000000000000000..8eebf3d4d135c1971122fa717ace9cf58530ad4c
--- /dev/null
+++ b/results/dev/ellipse/problem_0444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65b10af89bd7c4065354740601b2d0f86878d66a11bc20cb40814a9f5a5f029e
+size 191390
diff --git a/results/dev/ellipse/problem_0447.png b/results/dev/ellipse/problem_0447.png
new file mode 100644
index 0000000000000000000000000000000000000000..3afb9fd03a8ac1d402907cc51df80e186f7bb687
--- /dev/null
+++ b/results/dev/ellipse/problem_0447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f310670aa265624ecbf10e3ff98bc6c694c226c74468e6d17c990c1336787b2d
+size 226597
diff --git a/results/dev/ellipse/problem_0448.png b/results/dev/ellipse/problem_0448.png
new file mode 100644
index 0000000000000000000000000000000000000000..506a005996cb5326c37bb660637db6c9def8d138
--- /dev/null
+++ b/results/dev/ellipse/problem_0448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03e65b4d934ff28f03608b95aa2578453b7baa1629896fd9938e59fad6631f2f
+size 226211
diff --git a/results/dev/ellipse/problem_0453.png b/results/dev/ellipse/problem_0453.png
new file mode 100644
index 0000000000000000000000000000000000000000..a14d5c8352335157f82072eb3551e4d025cab12d
--- /dev/null
+++ b/results/dev/ellipse/problem_0453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd9beaf1b295b297b0549e5351997f1dcbc0f139004da87f73a876a2d0f36274
+size 222205
diff --git a/results/dev/ellipse/problem_0459.png b/results/dev/ellipse/problem_0459.png
new file mode 100644
index 0000000000000000000000000000000000000000..af9ba60c5e4880da92a1156c5585d9987771e5d6
--- /dev/null
+++ b/results/dev/ellipse/problem_0459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14f56580b4a57a14715f9d8bc9fad598901dcd6da9cd4946c45234a403a0a3d5
+size 218815
diff --git a/results/dev/ellipse/problem_0465.png b/results/dev/ellipse/problem_0465.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a7fa19a96726856f836bd816fffb28a323d4a08
--- /dev/null
+++ b/results/dev/ellipse/problem_0465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b76534e9d3e5da92dc4705cd364c103d1d37ec79c1462dfb7b05e18730e97cf5
+size 224134
diff --git a/results/dev/ellipse/problem_0466.png b/results/dev/ellipse/problem_0466.png
new file mode 100644
index 0000000000000000000000000000000000000000..669aad28296deff0d36aef74e61b51812580accf
--- /dev/null
+++ b/results/dev/ellipse/problem_0466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:796fbfab837e8f7a7dcd01c53f69f6550d3974690e61cea9b9796871cfb6b61f
+size 217550
diff --git a/results/dev/ellipse/problem_0469.png b/results/dev/ellipse/problem_0469.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ffda65aedfe31543dfbdd3b72c95981e163a72d
--- /dev/null
+++ b/results/dev/ellipse/problem_0469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63af79844ffd4955ea623e70349bcf4887fbfdd701390883883d386b4ba068ce
+size 232795
diff --git a/results/dev/ellipse/problem_0472.png b/results/dev/ellipse/problem_0472.png
new file mode 100644
index 0000000000000000000000000000000000000000..dda093aa189826904381d395b49b1f3303c85451
--- /dev/null
+++ b/results/dev/ellipse/problem_0472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c09033d170809d646079b110c4b03066b32f82ace83891d6dcde427ce87acca
+size 199977
diff --git a/results/dev/ellipse/problem_0475.png b/results/dev/ellipse/problem_0475.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bc3e6defec3238fbbb65058a208f054846864f9
--- /dev/null
+++ b/results/dev/ellipse/problem_0475.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3a9b58d74a41eff1e738b52caf8ded77472fa30f532213b384595ea27634768
+size 236608
diff --git a/results/dev/ellipse/problem_0485.png b/results/dev/ellipse/problem_0485.png
new file mode 100644
index 0000000000000000000000000000000000000000..34286772275c7a36383aa50d0555586be2d9bb3c
--- /dev/null
+++ b/results/dev/ellipse/problem_0485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5666e9118c977af8699d3b0bd1cb990578134678080f02d99a34156897a89b23
+size 208836
diff --git a/results/dev/ellipse/problem_0490.png b/results/dev/ellipse/problem_0490.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb256982838c76442410c38ff27d4a3f32c99b3a
--- /dev/null
+++ b/results/dev/ellipse/problem_0490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edd0929de1486ae8b5c70995f9321254442109e1644191b5f05e339704503174
+size 229005
diff --git a/results/dev/ellipse/problem_0491.png b/results/dev/ellipse/problem_0491.png
new file mode 100644
index 0000000000000000000000000000000000000000..b440a970eaad6b9196721f8289390eb90d532a4d
--- /dev/null
+++ b/results/dev/ellipse/problem_0491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d8fd38b70c2d6b3c139a4806da8b202e69b077d8e35933a0e9b40a56e45aac8
+size 220165
diff --git a/results/dev/ellipse/problem_0499.png b/results/dev/ellipse/problem_0499.png
new file mode 100644
index 0000000000000000000000000000000000000000..658882e0b5ba8db71455753c0932ee7c3963e0ff
--- /dev/null
+++ b/results/dev/ellipse/problem_0499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74bb5632e2246bdc28355a5446a3965043baa0ab022f709c11db5a5b194853da
+size 214368
diff --git a/results/dev/ellipse/problem_0505.png b/results/dev/ellipse/problem_0505.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5014571b6ce6984ff1584a72417110779ca78c2
--- /dev/null
+++ b/results/dev/ellipse/problem_0505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2facce0794234b208e4e6496d60917353beeac696a4f1a0cfcecf2d5a2f0ba45
+size 212637
diff --git a/results/dev/ellipse/problem_0507.png b/results/dev/ellipse/problem_0507.png
new file mode 100644
index 0000000000000000000000000000000000000000..24cc95592162fbdc0de53935e81245d2aa1943f5
--- /dev/null
+++ b/results/dev/ellipse/problem_0507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56784dc00a11f91d5fab9a5c1bd878c7df88199f54af7cc7b12e2747b829adee
+size 239116
diff --git a/results/dev/ellipse/problem_0509.png b/results/dev/ellipse/problem_0509.png
new file mode 100644
index 0000000000000000000000000000000000000000..9cdde0a5332f263d3b7fded829df8a5d6b76720f
--- /dev/null
+++ b/results/dev/ellipse/problem_0509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c03f19a9dd7f98f6c91f3f8d21ff6d4b9d7e5b1e4c0cca0e49928a63d7839c21
+size 222461
diff --git a/results/dev/ellipse/problem_0517.png b/results/dev/ellipse/problem_0517.png
new file mode 100644
index 0000000000000000000000000000000000000000..b325c20572ef641deb098dc66af4e52316b7b951
--- /dev/null
+++ b/results/dev/ellipse/problem_0517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac9efc6c76108be46185cb3da3a77c9fe0a1d282b7f1ab4c93aaca8a85389189
+size 214505
diff --git a/results/dev/ellipse/problem_0519.png b/results/dev/ellipse/problem_0519.png
new file mode 100644
index 0000000000000000000000000000000000000000..461d4991bf96d6f5275ccb4299a62d31cb968bcf
--- /dev/null
+++ b/results/dev/ellipse/problem_0519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c3870564e5d3dfdf6379e06afaaeae541e49ca27248c4a3e349b85675d3b0f6
+size 228865
diff --git a/results/dev/ellipse/problem_0521.png b/results/dev/ellipse/problem_0521.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4cba3f8dc554bd168bec0e9534d39b2989d9b18
--- /dev/null
+++ b/results/dev/ellipse/problem_0521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aad18598d2155efb21ececb158844e0427ea61ffbf8373c1cb74842705830d6a
+size 216120
diff --git a/results/dev/ellipse/problem_0524.png b/results/dev/ellipse/problem_0524.png
new file mode 100644
index 0000000000000000000000000000000000000000..33f31ac0b5be24913b3ddd5a512168d02228ee7e
--- /dev/null
+++ b/results/dev/ellipse/problem_0524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cab78f140f63abd7ffbda63d1853bc1a4cd568dfe3de25b1e411cac6a2d6d5ff
+size 217718
diff --git a/results/dev/ellipse/problem_0529.png b/results/dev/ellipse/problem_0529.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e33f641c6c960c546d77afe1eb617ff5c3f1479
--- /dev/null
+++ b/results/dev/ellipse/problem_0529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:782a42a5023b2e8c84ba38b1c7fa4ebddc0525226882e921e9b99d9f1d1c8529
+size 227116
diff --git a/results/dev/ellipse/problem_0530.png b/results/dev/ellipse/problem_0530.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad47fd4f8b7d0b98de7fa79f446e7e0f1b6162b8
--- /dev/null
+++ b/results/dev/ellipse/problem_0530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf85821bfc49181bdbdcc0f30ccd41da7d1777274a6166a1189704a307bed863
+size 223742
diff --git a/results/dev/ellipse/problem_0540.png b/results/dev/ellipse/problem_0540.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fc69f67eba9af490a27094ffcbebf2487ca32d7
--- /dev/null
+++ b/results/dev/ellipse/problem_0540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6db061c1eb1abc760d55a3c73186b034d97d215818a86c32cc36a51bce943992
+size 221429
diff --git a/results/dev/ellipse/problem_0546.png b/results/dev/ellipse/problem_0546.png
new file mode 100644
index 0000000000000000000000000000000000000000..5692f4a7a41e1d9214c69c513b74689f3ade189e
--- /dev/null
+++ b/results/dev/ellipse/problem_0546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25ae33ea0e266cd5ff8a2303c9ca9f8871ac3d015c77fe2be2600dbbb79b32bf
+size 224897
diff --git a/results/dev/ellipse/problem_0547.png b/results/dev/ellipse/problem_0547.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd23e4484fef7f2dcc6a113f9d899fba2d830927
--- /dev/null
+++ b/results/dev/ellipse/problem_0547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c99fcde3aff7e0d5fb6c5b46df74b63aa76bbf23f3a034ddd5347bc1c8d9c210
+size 228292
diff --git a/results/dev/ellipse/problem_0548.png b/results/dev/ellipse/problem_0548.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3f3ce91abfdfcf711fa224d874e914e48981ffe
--- /dev/null
+++ b/results/dev/ellipse/problem_0548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4de5f7c7dc6886b256af148d50da0033e0878aef3ec069dcddeb9745dd33cd2
+size 223189
diff --git a/results/dev/ellipse/problem_0550.png b/results/dev/ellipse/problem_0550.png
new file mode 100644
index 0000000000000000000000000000000000000000..39de8d065eefb124f6ca9df0db7287f8dfb416d5
--- /dev/null
+++ b/results/dev/ellipse/problem_0550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b5b4917010f66d69c5a0fa23eacea132835e8e5e26baf80a56e4c131e7af0a2
+size 226753
diff --git a/results/dev/ellipse/problem_0553.png b/results/dev/ellipse/problem_0553.png
new file mode 100644
index 0000000000000000000000000000000000000000..14c368d36302a80a4dbf6a7d5cafc2770110e49b
--- /dev/null
+++ b/results/dev/ellipse/problem_0553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93ec565dbe85490ca9ddeea22e5dd4329359d7f8afe15e2ad2f277afdd3713a7
+size 222107
diff --git a/results/dev/ellipse/problem_0555.png b/results/dev/ellipse/problem_0555.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee1fc2d3acfecce26dc6637553f7b97987878d55
--- /dev/null
+++ b/results/dev/ellipse/problem_0555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd7a94f6c12b1d3fbd2c170f9ed12a76f55d8615b9fbdab1de12c3531bfdd637
+size 207942
diff --git a/results/dev/ellipse/problem_0561.png b/results/dev/ellipse/problem_0561.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d45c02c20a9721857096e5c39c47db73edd02c
--- /dev/null
+++ b/results/dev/ellipse/problem_0561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6103b16fde74dadfa1b45279a81a55bb821465e9c88e4793f835302f8de0f559
+size 213674
diff --git a/results/dev/ellipse/problem_0564.png b/results/dev/ellipse/problem_0564.png
new file mode 100644
index 0000000000000000000000000000000000000000..e58cf30478e86c5f76880dd97a8379dcda72208b
--- /dev/null
+++ b/results/dev/ellipse/problem_0564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd30037960497b0dee6e2d551b28b81ba9f1dc4d1eeedce661215b72422d2e05
+size 227276
diff --git a/results/dev/ellipse/problem_0565.png b/results/dev/ellipse/problem_0565.png
new file mode 100644
index 0000000000000000000000000000000000000000..c06a8544157bcb23af1dc866ae872433e043e873
--- /dev/null
+++ b/results/dev/ellipse/problem_0565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e92b9587d569650465430a2b96bbde5667a3392e1588ddacc93b7646945df4e
+size 235935
diff --git a/results/dev/ellipse/problem_0566.png b/results/dev/ellipse/problem_0566.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbe427444fcb3e3ba03124da81f1c07049559a11
--- /dev/null
+++ b/results/dev/ellipse/problem_0566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b880513f5806c16ffe1bde2ccd45b8908b7fedd93216ccf6f52724b76290808f
+size 224198
diff --git a/results/dev/ellipse/problem_0568.png b/results/dev/ellipse/problem_0568.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef56a5463c5342080f8e300ec614c17a09709ed4
--- /dev/null
+++ b/results/dev/ellipse/problem_0568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9075bb8304a5cae33568e0f9f298e8ed06feaac99f60b10e6206875a93bbd74f
+size 235896
diff --git a/results/dev/ellipse/problem_0570.png b/results/dev/ellipse/problem_0570.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d9738c148ff8ff59eba3895b8db272218dc707d
--- /dev/null
+++ b/results/dev/ellipse/problem_0570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1f095f1f4c5db11707f1c0572d957bec1699a7a52632153d3e38eed0aa02807
+size 211866
diff --git a/results/dev/ellipse/problem_0572.png b/results/dev/ellipse/problem_0572.png
new file mode 100644
index 0000000000000000000000000000000000000000..06e9182a03c212926501126a8cfd59d6cd6fac06
--- /dev/null
+++ b/results/dev/ellipse/problem_0572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4456466db448efa2fcb992eb0a86bed35611886058cd34c948a82283a7a2ff4e
+size 220545
diff --git a/results/dev/ellipse/problem_0574.png b/results/dev/ellipse/problem_0574.png
new file mode 100644
index 0000000000000000000000000000000000000000..08fd9ae2bb9d5e7fba398843f323bd548e1b1279
--- /dev/null
+++ b/results/dev/ellipse/problem_0574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c7f25ddda9d7fb71c97c09114812e5f9463f83858c39f92c3814383bc19f739
+size 239791
diff --git a/results/dev/ellipse/problem_0575.png b/results/dev/ellipse/problem_0575.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f543d7f79cee4ce9c6e5481b7d9bc4965e23841
--- /dev/null
+++ b/results/dev/ellipse/problem_0575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f20c82310f7473ecdf8e116545ed06720035cbd3be82094a9b7ab29810964b92
+size 242628
diff --git a/results/dev/ellipse/problem_0576.png b/results/dev/ellipse/problem_0576.png
new file mode 100644
index 0000000000000000000000000000000000000000..d046e48b944b41a8da5d15c98a3b277d1317ffca
--- /dev/null
+++ b/results/dev/ellipse/problem_0576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ab4085d35e34eb922c1f5e417b93e976822cdbcfcba52adeab975b2adf9c285
+size 239556
diff --git a/results/dev/ellipse/problem_0587.png b/results/dev/ellipse/problem_0587.png
new file mode 100644
index 0000000000000000000000000000000000000000..20174c3bc53e873820f4ee528ba0675c30d5dfbd
--- /dev/null
+++ b/results/dev/ellipse/problem_0587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a0158252f59a84fa6ffc434b944e4721632d2b52891009d5d12c4711ae3b1a1
+size 184956
diff --git a/results/dev/ellipse/problem_0589.png b/results/dev/ellipse/problem_0589.png
new file mode 100644
index 0000000000000000000000000000000000000000..f731f390f73021ed6aaf4cecf6c155608d6091be
--- /dev/null
+++ b/results/dev/ellipse/problem_0589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b2965a8e4dc24ac1429a8ab3732e267cd78d5026350eb3613351a35f66d42ca
+size 222218
diff --git a/results/dev/ellipse/problem_0597.png b/results/dev/ellipse/problem_0597.png
new file mode 100644
index 0000000000000000000000000000000000000000..28b93ce59c91d82a61eafc920c7c4cbd44348de0
--- /dev/null
+++ b/results/dev/ellipse/problem_0597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eeabf464f83752e0fc30aed3cdf42e7bc82049ec969f63077d20ac3615283b52
+size 217155
diff --git a/results/dev/ellipse/problem_0598.png b/results/dev/ellipse/problem_0598.png
new file mode 100644
index 0000000000000000000000000000000000000000..654854991f385f0c41f7225f894152c4d04bd5bc
--- /dev/null
+++ b/results/dev/ellipse/problem_0598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a82dea603e1a0eb324e47175f5626f4cc84ec2b398ea35239d7f87f4321a4252
+size 225625
diff --git a/results/dev/ellipse/problem_0604.png b/results/dev/ellipse/problem_0604.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fb6d93ba11b57195a07d4deee621bfff9a02cda
--- /dev/null
+++ b/results/dev/ellipse/problem_0604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e36fc15c861875ef67879e706e7a9578f6f88b95d86a4ab016b3af827dfa2494
+size 235287
diff --git a/results/dev/ellipse/problem_0606.png b/results/dev/ellipse/problem_0606.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e058ce094261bdd106b37e2de78eb55d85b54fe
--- /dev/null
+++ b/results/dev/ellipse/problem_0606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fac1325cea0845303b21e2559b10f0c33fa55ffdcb076405898026caf0b00da2
+size 237181
diff --git a/results/dev/ellipse/problem_0609.png b/results/dev/ellipse/problem_0609.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fff6847d3822c5bd2fd7253db3d88dbfa139f0a
--- /dev/null
+++ b/results/dev/ellipse/problem_0609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f16a33fc267ce3a321e08c8361a43592a69ffe3d0b8715cffbd8ed2d6dc0dea9
+size 229789
diff --git a/results/dev/ellipse/problem_0611.png b/results/dev/ellipse/problem_0611.png
new file mode 100644
index 0000000000000000000000000000000000000000..a939f202e52ad05b169ba9965ad6834ed6150128
--- /dev/null
+++ b/results/dev/ellipse/problem_0611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d48027511cb833dcb6b8a237bc4bcff398d4015a9f0a11654fcc95b1cccc2ebe
+size 221607
diff --git a/results/dev/ellipse/problem_0612.png b/results/dev/ellipse/problem_0612.png
new file mode 100644
index 0000000000000000000000000000000000000000..a69c4000b7ab56c164206624f94958965260d7b4
--- /dev/null
+++ b/results/dev/ellipse/problem_0612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81c344cd9f17b691978feadd8536100f559a514bd691bc06df5052749d037610
+size 229270
diff --git a/results/dev/ellipse/problem_0616.png b/results/dev/ellipse/problem_0616.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ddc9d5f8ac2cde217e58ddf092b72014b2cd531
--- /dev/null
+++ b/results/dev/ellipse/problem_0616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e382c6f435fc510fa6b8ea321567ec9a41ec68c8b2f0a77dc39181262933b202
+size 222676
diff --git a/results/dev/ellipse/problem_0624.png b/results/dev/ellipse/problem_0624.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2db6e541b9197885dbf02e5c7d55e4af814610a
--- /dev/null
+++ b/results/dev/ellipse/problem_0624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f7d1fcacce4f2d162d82fdf260484638e36eded73c4469657a9ac2cec6d22e7
+size 240768
diff --git a/results/dev/ellipse/problem_0627.png b/results/dev/ellipse/problem_0627.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ad8f5c01c42fc1a5b5a43286ac58a0a9d11a89f
--- /dev/null
+++ b/results/dev/ellipse/problem_0627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f148532691f061f5f56d834662eeacdb9bf502a4bd70526d15612d94ece8f296
+size 230017
diff --git a/results/dev/ellipse/problem_0628.png b/results/dev/ellipse/problem_0628.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a52b344651642c1e6b749eb8d83efb887d063f0
--- /dev/null
+++ b/results/dev/ellipse/problem_0628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34ce23d541200c0f4706030d407942ce81e1f996b6881ca2e051f03e30287e97
+size 221159
diff --git a/results/dev/ellipse/problem_0629.png b/results/dev/ellipse/problem_0629.png
new file mode 100644
index 0000000000000000000000000000000000000000..9692b54688c26dc21ab2384ef5bdf7eb589d6478
--- /dev/null
+++ b/results/dev/ellipse/problem_0629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9a1865d7992667a788d6469a7dcd5b4b4654a6e9643cc6533bda6e5bab4175c
+size 202454
diff --git a/results/dev/ellipse/problem_0630.png b/results/dev/ellipse/problem_0630.png
new file mode 100644
index 0000000000000000000000000000000000000000..75e0ea81834e91f3eb18b1a6cfa8e2c21c2cceaf
--- /dev/null
+++ b/results/dev/ellipse/problem_0630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f06b703e72652ae9e7bb3029a683070f0824bc23e424cedab450e599f61d59c
+size 229326
diff --git a/results/dev/ellipse/problem_0634.png b/results/dev/ellipse/problem_0634.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7e0f25f3cf8cf7474ede70ab11e78e8111d85fb
--- /dev/null
+++ b/results/dev/ellipse/problem_0634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:388820bd7e7a7c4aebbc1602b9d95eff522d91c18bc59e501694f9a4a20661a0
+size 220677
diff --git a/results/dev/ellipse/problem_0639.png b/results/dev/ellipse/problem_0639.png
new file mode 100644
index 0000000000000000000000000000000000000000..06501fd3c57d563bffd2a7a990cd9b447db6d5d3
--- /dev/null
+++ b/results/dev/ellipse/problem_0639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64a5119121484c1fa70c03f4006c68b04afe15132747b3ef91ea24b4094c1f84
+size 230806
diff --git a/results/dev/ellipse/problem_0648.png b/results/dev/ellipse/problem_0648.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e52cadad67ff7b82f9b85066c228203904d685e
--- /dev/null
+++ b/results/dev/ellipse/problem_0648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eeb0933175bb50fb2de08b9fbaab29c437092aeeef4ee01c2597529709268fc7
+size 218392
diff --git a/results/dev/ellipse/problem_0654.png b/results/dev/ellipse/problem_0654.png
new file mode 100644
index 0000000000000000000000000000000000000000..727fc9d49e9e759a4061790bda2e9071e108df75
--- /dev/null
+++ b/results/dev/ellipse/problem_0654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:115229eff61db99fc95afd3ff878a446671fc62e07f13ccbe7185346905ae616
+size 191519
diff --git a/results/dev/ellipse/problem_0661.png b/results/dev/ellipse/problem_0661.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a62ae9d18e3e19e48316b7bc335269ffbfefa81
--- /dev/null
+++ b/results/dev/ellipse/problem_0661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:574793f8f41e6e5383c67d1d434f12ea172cd743d13f4fc09df4dff20f66b296
+size 231426
diff --git a/results/dev/ellipse/problem_0667.png b/results/dev/ellipse/problem_0667.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a4fa63003f343c947ffd538b8a251a42fab7d2c
--- /dev/null
+++ b/results/dev/ellipse/problem_0667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ddfc9ece3106c106a6da9888f5ac6da43108d103ff1080ff148a2ae9c7caca1
+size 224383
diff --git a/results/dev/ellipse/problem_0676.png b/results/dev/ellipse/problem_0676.png
new file mode 100644
index 0000000000000000000000000000000000000000..2577d7cf8dbd684ea89ca648e8d18fb9e174ba98
--- /dev/null
+++ b/results/dev/ellipse/problem_0676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e52064582cff35907adaef77694bea34a690fc32dd16a5e0abc2c75f67de1c0
+size 219420
diff --git a/results/dev/ellipse/problem_0685.png b/results/dev/ellipse/problem_0685.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d313de821ec355a69381f2819599ee7ccef6e3b
--- /dev/null
+++ b/results/dev/ellipse/problem_0685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4ca40f9f9620b858e6dc32a8b062c55025e89a44aaa76033cf956c009dcaf42
+size 227501
diff --git a/results/dev/ellipse/problem_0690.png b/results/dev/ellipse/problem_0690.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c855b2251051761118e7aa3abc2ca0e0e202777
--- /dev/null
+++ b/results/dev/ellipse/problem_0690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35b554e4f12f85d80c20b7f64d0f912af041183a00b2d7e114f3635f7b48af14
+size 239538
diff --git a/results/dev/ellipse/problem_0692.png b/results/dev/ellipse/problem_0692.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e6bda06f9a4a68ee69b8e4802d9916b9f51966d
--- /dev/null
+++ b/results/dev/ellipse/problem_0692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:690a65636face36f5aaba9c27545d2e7aebd769f9f64f76160c763f08cf5029b
+size 238343
diff --git a/results/dev/ellipse/problem_0693.png b/results/dev/ellipse/problem_0693.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3330193b5330e232a50302b5022dee2878825c5
--- /dev/null
+++ b/results/dev/ellipse/problem_0693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f4b548ff200942fb587ecc54866bcb3f3b21d66bc8461eca9ddb35e58d2d848
+size 218365
diff --git a/results/dev/ellipse/problem_0698.png b/results/dev/ellipse/problem_0698.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d2d76ba585afd6ad9ffdea2dde3d19e8f082018
--- /dev/null
+++ b/results/dev/ellipse/problem_0698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d594fdaf69d4d9e2d6224d8975b865521c70826f7b90dc9319ef1660fea844bb
+size 223481
diff --git a/results/dev/ellipse/problem_0704.png b/results/dev/ellipse/problem_0704.png
new file mode 100644
index 0000000000000000000000000000000000000000..087f1c4a6ec3c954021acbaba9543acc75ee3be1
--- /dev/null
+++ b/results/dev/ellipse/problem_0704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa2bb2c26c80d91b99eaeddbe09b6d4894fc47c29f95a8c14fed66a6159824a1
+size 209875
diff --git a/results/dev/ellipse/problem_0709.png b/results/dev/ellipse/problem_0709.png
new file mode 100644
index 0000000000000000000000000000000000000000..9acb175de0ea78005ce45efcb2ee3394456e511f
--- /dev/null
+++ b/results/dev/ellipse/problem_0709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92a71b4dece9222fb4dbaae4f58b19b37b4e0e0605ee2e8b1eff3fd80e670100
+size 223894
diff --git a/results/dev/ellipse/problem_0711.png b/results/dev/ellipse/problem_0711.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7ed1dd10cbd029b249154c1e1708390a7e73275
--- /dev/null
+++ b/results/dev/ellipse/problem_0711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b1eb05dedcb50f9e1049bc9407d701a398cb6f702fb7d848d6aaa32ec457317
+size 201526
diff --git a/results/dev/ellipse/problem_0720.png b/results/dev/ellipse/problem_0720.png
new file mode 100644
index 0000000000000000000000000000000000000000..1677d3d619a0051cd7dcff00c00bc4e1e749c2f4
--- /dev/null
+++ b/results/dev/ellipse/problem_0720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c379d5fa4e67eaee8f0b1b1a1bdc85f75eac1211c9ab02db1cf306aa30b32a7b
+size 223242
diff --git a/results/dev/ellipse/problem_0722.png b/results/dev/ellipse/problem_0722.png
new file mode 100644
index 0000000000000000000000000000000000000000..41a57f9dd615c00e1d644a9fa024fc34350f5195
--- /dev/null
+++ b/results/dev/ellipse/problem_0722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f9db8aba0857d8139e81bc68958095f22f2a9bc43aa96422be49a75812180bd
+size 195471
diff --git a/results/dev/ellipse/problem_0723.png b/results/dev/ellipse/problem_0723.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2fe1a3f10d5e993ea50bd1765d2552d0cfa56c1
--- /dev/null
+++ b/results/dev/ellipse/problem_0723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2cc64f9abd26a5e7da5fa9b0111fa2e7c5c9aabe22b050277cb263e6de6e0e9
+size 241296
diff --git a/results/dev/ellipse/problem_0724.png b/results/dev/ellipse/problem_0724.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a70b68bebe9aad710018a8aa16929487b76c570
--- /dev/null
+++ b/results/dev/ellipse/problem_0724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:396b8d448d8fc19b837e788e4e58e883068e9ce1da5f4ef4229ef0f2a36751db
+size 233572
diff --git a/results/dev/ellipse/problem_0725.png b/results/dev/ellipse/problem_0725.png
new file mode 100644
index 0000000000000000000000000000000000000000..874d1c4c0eb92848cc0ff6aab92d952838bed7d9
--- /dev/null
+++ b/results/dev/ellipse/problem_0725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d89da40f1cd7e400d380fb971402a385fdf06eaccbb58ce620b6492fb664a5b
+size 223062
diff --git a/results/dev/ellipse/problem_0726.png b/results/dev/ellipse/problem_0726.png
new file mode 100644
index 0000000000000000000000000000000000000000..824bd9b85ad1265de566b24f445ec66dabcccfdb
--- /dev/null
+++ b/results/dev/ellipse/problem_0726.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:865f4a635dcad0c25858adfcf5e222f691e7b61f93e600a1c762549bba741bdb
+size 225563
diff --git a/results/dev/ellipse/problem_0728.png b/results/dev/ellipse/problem_0728.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9a7da495fc4ac608cf20cc893672278981e0ffa
--- /dev/null
+++ b/results/dev/ellipse/problem_0728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:315c4b383fc9aad27e5c6be5a4b51baf55101ab36d9c969be9d69d51fe3d11a7
+size 221377
diff --git a/results/dev/ellipse/problem_0729.png b/results/dev/ellipse/problem_0729.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc85843bc30784c356b6ccfa9a004c1a9b0483cb
--- /dev/null
+++ b/results/dev/ellipse/problem_0729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19a2d11ac772c883fee6db24bb63fff7e58040e4a8a020e02ccb18add04f9d21
+size 211093
diff --git a/results/dev/ellipse/problem_0731.png b/results/dev/ellipse/problem_0731.png
new file mode 100644
index 0000000000000000000000000000000000000000..71b5e4ab3d57a576c8f42127919f79ae286f2b1a
--- /dev/null
+++ b/results/dev/ellipse/problem_0731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ab3dbd4c0b41d2e1fc9f69d0fe4ae717493c7486ab2d4bceedfbd5f443cd5b7
+size 223511
diff --git a/results/dev/ellipse/problem_0735.png b/results/dev/ellipse/problem_0735.png
new file mode 100644
index 0000000000000000000000000000000000000000..900a8c6483ede8642c85030802994ba1612ec0db
--- /dev/null
+++ b/results/dev/ellipse/problem_0735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bfd7f53f12e23a21d3151830f0d6af421a5289833ebec6f23c918c6f1dea8e1
+size 234615
diff --git a/results/dev/ellipse/problem_0738.png b/results/dev/ellipse/problem_0738.png
new file mode 100644
index 0000000000000000000000000000000000000000..c783badee359db93a56e60c5d89d113f6a3d2d7f
--- /dev/null
+++ b/results/dev/ellipse/problem_0738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78d37d1bd30b9ab63add613596a92beb84b5bd317f3765baae81f8cbc8d785f5
+size 215514
diff --git a/results/dev/ellipse/problem_0742.png b/results/dev/ellipse/problem_0742.png
new file mode 100644
index 0000000000000000000000000000000000000000..4791b27d0ba6a0954cdf4720184c616e0ffd07c3
--- /dev/null
+++ b/results/dev/ellipse/problem_0742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3ee1d475de96ff6572d6f1c534aab8a77116f31d97757be6c9ce9503e212617
+size 235967
diff --git a/results/dev/ellipse/problem_0749.png b/results/dev/ellipse/problem_0749.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c0402cff66e064a2a5f84d35775c45b4fc98df0
--- /dev/null
+++ b/results/dev/ellipse/problem_0749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60ae3adc42b41a7d867614787a999bc2589c3836da55e5bf3a2d61753b18336a
+size 227342
diff --git a/results/dev/ellipse/problem_0752.png b/results/dev/ellipse/problem_0752.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d670760511353ab0345a50c7dce2eeb2b3773a0
--- /dev/null
+++ b/results/dev/ellipse/problem_0752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cd79d68d4f637e2553146635dd6618545b67c40583ed9c5a89b479889808622
+size 220285
diff --git a/results/dev/ellipse/problem_0753.png b/results/dev/ellipse/problem_0753.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bd10ca5c057be7501fe4c9ec786ba136b1d3418
--- /dev/null
+++ b/results/dev/ellipse/problem_0753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29c95a2829d4f1132f53d08614164560d1a7bd463c04dc7879cdbb1526afc0f8
+size 218278
diff --git a/results/dev/ellipse/problem_0758.png b/results/dev/ellipse/problem_0758.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6e6a3d37efd85da9bb2dfba65b811ec67474ba5
--- /dev/null
+++ b/results/dev/ellipse/problem_0758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53530bc4863c2ddaf05f16d1096ca852e1f9299dfeb6613f75efa6cb27be658a
+size 219311
diff --git a/results/dev/ellipse/problem_0771.png b/results/dev/ellipse/problem_0771.png
new file mode 100644
index 0000000000000000000000000000000000000000..3255b30ec9dc7d4613740120204f6e6581813976
--- /dev/null
+++ b/results/dev/ellipse/problem_0771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:529b9fb519a23ee18f680dffeaba8208ca9a5d102b145a216837169b60f696cb
+size 193722
diff --git a/results/dev/ellipse/problem_0772.png b/results/dev/ellipse/problem_0772.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b00833c915b1cd2bedc64cbd41f563ad528a86b
--- /dev/null
+++ b/results/dev/ellipse/problem_0772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9a2e6eb3a6dfb1a30884deb398fa9a6ca6814ebe4a2de6841030963268908e8
+size 220768
diff --git a/results/dev/ellipse/problem_0775.png b/results/dev/ellipse/problem_0775.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cb0ab5c0d96d506eb42c41c79966cb10377d8b5
--- /dev/null
+++ b/results/dev/ellipse/problem_0775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be378e96235b1ee372a177dde225a04774624e63d36238a7def14df3c8198039
+size 204396
diff --git a/results/dev/ellipse/problem_0778.png b/results/dev/ellipse/problem_0778.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc1464b617fd2604095f105feabb87e5b3c0605e
--- /dev/null
+++ b/results/dev/ellipse/problem_0778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2790498c451baf7fbf26552fde68325a2d8526eee0ef8a5cc61e8ce9518ce710
+size 216737
diff --git a/results/dev/ellipse/problem_0780.png b/results/dev/ellipse/problem_0780.png
new file mode 100644
index 0000000000000000000000000000000000000000..50e6d3b3e43c65544a5158971f51739842e91a55
--- /dev/null
+++ b/results/dev/ellipse/problem_0780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:159720565b29cd6c936317355f300f80425d670f1195f654e359571a068645fc
+size 221534
diff --git a/results/dev/ellipse/problem_0789.png b/results/dev/ellipse/problem_0789.png
new file mode 100644
index 0000000000000000000000000000000000000000..3317d15a15bf4f628097951ce3a5ddf1f90ed8e5
--- /dev/null
+++ b/results/dev/ellipse/problem_0789.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8897eb12ecfe0e2ca926bf3372c5098f15907620bfb24bb7beb980c4a183abe
+size 226745
diff --git a/results/dev/ellipse/problem_0792.png b/results/dev/ellipse/problem_0792.png
new file mode 100644
index 0000000000000000000000000000000000000000..97602b8c2e752d45156191808878a3498a0c21db
--- /dev/null
+++ b/results/dev/ellipse/problem_0792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56304291c2aa0b4538e37b789b1e14414a0592fc3903536100ebb8e75e4f7bf9
+size 226570
diff --git a/results/dev/ellipse/problem_0799.png b/results/dev/ellipse/problem_0799.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1fc82395c196efc58ae048209df938fec72e82e
--- /dev/null
+++ b/results/dev/ellipse/problem_0799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdf358b598692ef1c3ac9aa90d0f31dc12fede35546949db5c6eea7d8751ce8f
+size 226200
diff --git a/results/dev/ellipse/problem_0805.png b/results/dev/ellipse/problem_0805.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1cab3af06efcfcc09a5cf7c32295c4224ad5b10
--- /dev/null
+++ b/results/dev/ellipse/problem_0805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eaf4dfa91ac7ed0c1ab7e190ec02de37c96662376c3c07aea75cfbe07449c798
+size 237175
diff --git a/results/dev/ellipse/problem_0810.png b/results/dev/ellipse/problem_0810.png
new file mode 100644
index 0000000000000000000000000000000000000000..e31eade3d1f0765dd2a44de8e831172cee4cea3e
--- /dev/null
+++ b/results/dev/ellipse/problem_0810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1fc35edb37b649321185bb72f559d646ae3692ce817eff861a21f6a553fc552
+size 217066
diff --git a/results/dev/ellipse/problem_0817.png b/results/dev/ellipse/problem_0817.png
new file mode 100644
index 0000000000000000000000000000000000000000..3136de0d99e5ec8e72228bfdc7be5af30fda90c8
--- /dev/null
+++ b/results/dev/ellipse/problem_0817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0635b72bc1981477ffdec3faf89d89ea2cf5d452e5089d764787abd2906b8cb3
+size 188129
diff --git a/results/dev/ellipse/problem_0818.png b/results/dev/ellipse/problem_0818.png
new file mode 100644
index 0000000000000000000000000000000000000000..77641f09eff28cb42a3870f02f3345d5d855ffbe
--- /dev/null
+++ b/results/dev/ellipse/problem_0818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ce9e8b4b5c70717ae7079b7da7567ae1056e9962dcc1ee78ec0ec94c6d27e73
+size 230337
diff --git a/results/dev/ellipse/problem_0822.png b/results/dev/ellipse/problem_0822.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd1d1b4f4783a92e44cc00c4782f6abf889808a5
--- /dev/null
+++ b/results/dev/ellipse/problem_0822.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d01f425e0f469c27654724cccc7926af424170926ed901eb3a1bcca261514c45
+size 231282
diff --git a/results/dev/ellipse/problem_0827.png b/results/dev/ellipse/problem_0827.png
new file mode 100644
index 0000000000000000000000000000000000000000..afd48273496dd6ce6758b752577c000bb50b442f
--- /dev/null
+++ b/results/dev/ellipse/problem_0827.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0580b1ac0c5b326f3aee1d3580efca53987583dcabcfa64722c5628d3dd65300
+size 229051
diff --git a/results/dev/ellipse/problem_0829.png b/results/dev/ellipse/problem_0829.png
new file mode 100644
index 0000000000000000000000000000000000000000..391a91a52220dce08613d7ea010d9cfe103c52ce
--- /dev/null
+++ b/results/dev/ellipse/problem_0829.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c23e56ad2b7083f2a1a1203db5f7f8e16d10957c609bb98ec3397caba292c92c
+size 212622
diff --git a/results/dev/ellipse/problem_0833.png b/results/dev/ellipse/problem_0833.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c5286eb6c27b3742259e461563e672f21bed4ad
--- /dev/null
+++ b/results/dev/ellipse/problem_0833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9410800d3cad437711ac0ecfe96bb24142534198fd52d2433324b5e7c6b45ca6
+size 242274
diff --git a/results/dev/ellipse/problem_0838.png b/results/dev/ellipse/problem_0838.png
new file mode 100644
index 0000000000000000000000000000000000000000..0718c7e14d4ee95557a53fcbed44919bde115272
--- /dev/null
+++ b/results/dev/ellipse/problem_0838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39d534fd5613490cab85ea5e2863dbfeb93605919793097b3474d2ac2853d436
+size 210416
diff --git a/results/dev/ellipse/problem_0839.png b/results/dev/ellipse/problem_0839.png
new file mode 100644
index 0000000000000000000000000000000000000000..242eb06cd04399965a9042818b36ad09bf67d375
--- /dev/null
+++ b/results/dev/ellipse/problem_0839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba072807953d74a8f7ab12cd2e04c672650c4f0b8c97e097d934b653d5559a02
+size 236783
diff --git a/results/dev/ellipse/problem_0860.png b/results/dev/ellipse/problem_0860.png
new file mode 100644
index 0000000000000000000000000000000000000000..322dfe01fb44d2c3f83d523b9da428f310345480
--- /dev/null
+++ b/results/dev/ellipse/problem_0860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9c259187238498a3f9f7bb3aea767e704f4abe276bd66f44f4d30da330668ed
+size 213107
diff --git a/results/dev/ellipse/problem_0866.png b/results/dev/ellipse/problem_0866.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e2ca2ea2e93379936b772a49e95f34848ea2372
--- /dev/null
+++ b/results/dev/ellipse/problem_0866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f147f41ebab8f0eff7f62728f539d0d7f624c2dab40e5760619eca815c9046b
+size 221987
diff --git a/results/dev/ellipse/problem_0878.png b/results/dev/ellipse/problem_0878.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd34651703f508616c405757e730d967cffb11a1
--- /dev/null
+++ b/results/dev/ellipse/problem_0878.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:715006a9ce627ae291753a618cd0bf96509066151aaef54843c5c046a393c09e
+size 223662
diff --git a/results/dev/ellipse/problem_0880.png b/results/dev/ellipse/problem_0880.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b4e31d40c540427ca6b1aa8a04d0fb253db47f7
--- /dev/null
+++ b/results/dev/ellipse/problem_0880.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fe2610d0d36cb5add8256a21466fa2437c9346be3dd677e2404c94b3b8513aa
+size 213411
diff --git a/results/dev/ellipse/problem_0882.png b/results/dev/ellipse/problem_0882.png
new file mode 100644
index 0000000000000000000000000000000000000000..7955f64ddb58a9f50815ee9389c04fd4748054c2
--- /dev/null
+++ b/results/dev/ellipse/problem_0882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed5f3ff34a96a7925f703064471fefd7d94fd5663e85af96a578e31fdc66e027
+size 218242
diff --git a/results/dev/ellipse/problem_0885.png b/results/dev/ellipse/problem_0885.png
new file mode 100644
index 0000000000000000000000000000000000000000..87a82c0a212ec01fd484388e8e81052d9149c640
--- /dev/null
+++ b/results/dev/ellipse/problem_0885.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a3eb61441a308bf048646e31d213d5461dc874a298ec020609d82a3a5768d33
+size 227352
diff --git a/results/dev/ellipse/problem_0910.png b/results/dev/ellipse/problem_0910.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeb5fc7182c5d81289cf7a7a9962798ee80a4ee5
--- /dev/null
+++ b/results/dev/ellipse/problem_0910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb3a24ff5b987e0c5e94ce8176dbdc8763c5fd29d9d72a251a3d6886cf770585
+size 185651
diff --git a/results/dev/ellipse/problem_0911.png b/results/dev/ellipse/problem_0911.png
new file mode 100644
index 0000000000000000000000000000000000000000..642c71001d9bedcf40717ec20586c1ed46c69bb0
--- /dev/null
+++ b/results/dev/ellipse/problem_0911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2abe03c7331216b619d67f4465ca9def827fbb1efe165c1cdf245f7011b74018
+size 203351
diff --git a/results/dev/ellipse/problem_0919.png b/results/dev/ellipse/problem_0919.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2505b31ba05adf2af309a936527b1794f3ed084
--- /dev/null
+++ b/results/dev/ellipse/problem_0919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7399d18eea2ef3b592bb6101f5040db9255caaa6dfa73e4c6b8d20f600453084
+size 230351
diff --git a/results/dev/ellipse/problem_0926.png b/results/dev/ellipse/problem_0926.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8d5a4c2e01792b541998723ec1d0e62a43895f6
--- /dev/null
+++ b/results/dev/ellipse/problem_0926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:029aa6809be466e4fe01d936d66b7f799f38c291b36b06d132f79a0e04c7a789
+size 226189
diff --git a/results/dev/ellipse/problem_0933.png b/results/dev/ellipse/problem_0933.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ae8b055c1e5a6719c2b8d79e3b8b8869d8c1bb1
--- /dev/null
+++ b/results/dev/ellipse/problem_0933.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a91809c3ec1eebd2105366b045eac448e86a55d4b8ed24244e1e54f0519333a
+size 212234
diff --git a/results/dev/ellipse/problem_0945.png b/results/dev/ellipse/problem_0945.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad57f844a5d8b0501816ac9d996992bd746d57ea
--- /dev/null
+++ b/results/dev/ellipse/problem_0945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f237e29b419f340948e5e1846bf3d537ce45dbf03f3615d7cdc35452769dabf8
+size 231956
diff --git a/results/dev/ellipse/problem_0948.png b/results/dev/ellipse/problem_0948.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b29f21489f421c2b7fb4f7057ef84bb783c0016
--- /dev/null
+++ b/results/dev/ellipse/problem_0948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5861b8f94192485bfc1f4ba801305a507e82cc356fc357018809202514271ad1
+size 227553
diff --git a/results/dev/ellipse/problem_0954.png b/results/dev/ellipse/problem_0954.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc0d67be61e01d16d908578dda33ef13f81ceac4
--- /dev/null
+++ b/results/dev/ellipse/problem_0954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:008a3e496cc4919c4c9dd8a548c55aaa0f043b3fba86861f1cb9f1a4468449ed
+size 223735
diff --git a/results/dev/ellipse/problem_0970.png b/results/dev/ellipse/problem_0970.png
new file mode 100644
index 0000000000000000000000000000000000000000..059e0e8f274410a8850f9c3f3e47b00488f57b2e
--- /dev/null
+++ b/results/dev/ellipse/problem_0970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:378a118e8145309fbd34da548818dc26c24b5b59f492ba205555a7fb6e3e1c51
+size 279633
diff --git a/results/dev/ellipse/problem_0975.png b/results/dev/ellipse/problem_0975.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b177f932d4c95d57344dfaa0dc486960d14ad9f
--- /dev/null
+++ b/results/dev/ellipse/problem_0975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24bb9b8afcfc3ce745f6a7d29896198c7d9e9365a08774cf5f799f54e1d1653e
+size 230319
diff --git a/results/dev/ellipse/problem_0984.png b/results/dev/ellipse/problem_0984.png
new file mode 100644
index 0000000000000000000000000000000000000000..e99978b054dace07b1a0ebbd451bc3ed4b6e40b0
--- /dev/null
+++ b/results/dev/ellipse/problem_0984.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:076257bf2fd57e1b37b2f64bd4ee0287b96ae8dd8a9aab71747d79531e2d11fa
+size 189092
diff --git a/results/dev/ellipse/problem_0988.png b/results/dev/ellipse/problem_0988.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ec2bd50da2c0ac68838e3ea47f44bf78542fcc9
--- /dev/null
+++ b/results/dev/ellipse/problem_0988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9771d597c11740c01d427bf3dc4f69e136ce47b4fd8cc3e30f4d59ec9d9afdcb
+size 227619
diff --git a/results/dev/ellipse/problem_0990.png b/results/dev/ellipse/problem_0990.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dcc1e9ecc7c04e337fb5201404c186b7afe2f55
--- /dev/null
+++ b/results/dev/ellipse/problem_0990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17858304b072d8a117326cbdac3af48d090c22dbf0656db90a557ec37891461c
+size 215167
diff --git a/results/dev/ellipse/problem_1000.png b/results/dev/ellipse/problem_1000.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9a15c262a20d01adfe0768aa6f840374b45ac43
--- /dev/null
+++ b/results/dev/ellipse/problem_1000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31e3bf4a87bfa53f53f033c12740f6ea280399cd30c0b03050e524a62571ea41
+size 235283
diff --git a/results/dev/ellipse/problem_1005.png b/results/dev/ellipse/problem_1005.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b9b6c57c3e5a2625d48247ee49c9d651e0c89da
--- /dev/null
+++ b/results/dev/ellipse/problem_1005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cb2a21887cd02c9bc31d9bbba5a1d34546dab3c436c489f8b92cc2cf881025e
+size 230766
diff --git a/results/dev/ellipse/problem_1009.png b/results/dev/ellipse/problem_1009.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb659516fde38c515c44bf210c1b2be93b960e8f
--- /dev/null
+++ b/results/dev/ellipse/problem_1009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a21b004c2635ab9691ba2ff934408f7bbf26dce76f40e4d77c45a6f6fa96d4ed
+size 215856
diff --git a/results/dev/ellipse/problem_1011.png b/results/dev/ellipse/problem_1011.png
new file mode 100644
index 0000000000000000000000000000000000000000..871fe3bbdb67d00312962ce3779bc8cfd4e53386
--- /dev/null
+++ b/results/dev/ellipse/problem_1011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:949cc7009104659ffb2a5e1d6fc92dcfbfe46411650e3c4a64ae3a9d348b9c15
+size 186076
diff --git a/results/dev/ellipse/problem_1015.png b/results/dev/ellipse/problem_1015.png
new file mode 100644
index 0000000000000000000000000000000000000000..76127caa524f914ca1d3a56dffc942ded982f1a7
--- /dev/null
+++ b/results/dev/ellipse/problem_1015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb1b13c59dcee9f36eeac80a1503814ed1df3a79dd158f054882950b971e1858
+size 224515
diff --git a/results/dev/ellipse/problem_1024.png b/results/dev/ellipse/problem_1024.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bf59054fb58f9ad94db92747bbc9fb321413d3a
--- /dev/null
+++ b/results/dev/ellipse/problem_1024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47e08c172e43e0e2da2bd62932b31c74faabfff7d5a20041d1804b7ada64e13e
+size 231277
diff --git a/results/dev/ellipse/problem_1025.png b/results/dev/ellipse/problem_1025.png
new file mode 100644
index 0000000000000000000000000000000000000000..5807a68a4f1001523f32ef614d32a39460a9ce7b
--- /dev/null
+++ b/results/dev/ellipse/problem_1025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92b73f7aee67e43f430ce30c53dcd06198542678329c8240d418d38cd8b3be43
+size 214721
diff --git a/results/dev/ellipse/problem_1026.png b/results/dev/ellipse/problem_1026.png
new file mode 100644
index 0000000000000000000000000000000000000000..09a93eebb83389df8c64a4a6bbcee1ca018d0354
--- /dev/null
+++ b/results/dev/ellipse/problem_1026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0cff62ec6c20b76e5665f018e96884195299d20ceb2b43d5eff53bd238531faf
+size 219573
diff --git a/results/dev/ellipse/problem_1028.png b/results/dev/ellipse/problem_1028.png
new file mode 100644
index 0000000000000000000000000000000000000000..4764e56c5cd67a30fea10cfbd3471a106ff689a7
--- /dev/null
+++ b/results/dev/ellipse/problem_1028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0aa9676b30aeb246ffda558cf02ac182dcc3c6b3b5ea9b541292dae41073065c
+size 220038
diff --git a/results/dev/ellipse/problem_1031.png b/results/dev/ellipse/problem_1031.png
new file mode 100644
index 0000000000000000000000000000000000000000..989154b6f0303443156062ed54ee045c7673522b
--- /dev/null
+++ b/results/dev/ellipse/problem_1031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:715b0e9a52435d99b7f73f0c35694315ff645787fbc4f09aa2c547a745bec3b7
+size 215039
diff --git a/results/dev/ellipse/problem_1034.png b/results/dev/ellipse/problem_1034.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c2f041b95961e76fbe908755ad9e48aff66e20b
--- /dev/null
+++ b/results/dev/ellipse/problem_1034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87b9444df68d6ee750177e1c95070eeaee127703e8a2eb24e143430bb0aaaabb
+size 223543
diff --git a/results/dev/hyperbola/problem_0000.png b/results/dev/hyperbola/problem_0000.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3a60b37c729e306c30a58de9a01910858ce5448
--- /dev/null
+++ b/results/dev/hyperbola/problem_0000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:604f36827383a15d4da510cfe7064baf2e5a9f1e032b7d351923249d9d84fc34
+size 260855
diff --git a/results/dev/hyperbola/problem_0003.png b/results/dev/hyperbola/problem_0003.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fa59f421089a5df61d47016776db9c18515a4f0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21b15384eec9c84da2f57a2e1be08f69d5d7c41bec0e73fa7948b33884b03740
+size 260915
diff --git a/results/dev/hyperbola/problem_0005.png b/results/dev/hyperbola/problem_0005.png
new file mode 100644
index 0000000000000000000000000000000000000000..8853537dc1b4ceba657019942a8db18335dc22d7
--- /dev/null
+++ b/results/dev/hyperbola/problem_0005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:898c51984b15ae6da46a260babb706d0680d124ce232e972628fbbd906a90921
+size 276571
diff --git a/results/dev/hyperbola/problem_0010.png b/results/dev/hyperbola/problem_0010.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec472e37c64324d5849da242af091259d3db15b9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a48e50cea2ee9e61fc57902ab624ef8c9d26a6926c08563c5fbfc7b8c649882e
+size 272992
diff --git a/results/dev/hyperbola/problem_0018.png b/results/dev/hyperbola/problem_0018.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1c72236d3f516fa77b2e23b26d7960fee8aaccb
--- /dev/null
+++ b/results/dev/hyperbola/problem_0018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eedc9177800b308ad9c250dc59e79c9866d689d31793eb2e9763ae5d6af77a69
+size 258207
diff --git a/results/dev/hyperbola/problem_0022.png b/results/dev/hyperbola/problem_0022.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1ef897eb732029d2505815940cf3ed93114a60c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28b2957f4e9c9cf13a9d02ccb8d7d58c373d2dc071c0e7e6e5eeb1410dba4137
+size 253919
diff --git a/results/dev/hyperbola/problem_0028.png b/results/dev/hyperbola/problem_0028.png
new file mode 100644
index 0000000000000000000000000000000000000000..9801ff63d7c083bad32fe1833d03c9422c9c928b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a278a3259becb53c19d0050a7ef477287e3209708489d206574113771df43b89
+size 282567
diff --git a/results/dev/hyperbola/problem_0031.png b/results/dev/hyperbola/problem_0031.png
new file mode 100644
index 0000000000000000000000000000000000000000..37930a8433bb61dca92da3546a0cf2fd46ae660e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5d97264091b0e9e1d7d0a5ba7a165d8689499452f8c86a9e6b9f8df41c16343
+size 260161
diff --git a/results/dev/hyperbola/problem_0036.png b/results/dev/hyperbola/problem_0036.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a02d093abb971da641c8c677c098d7b55a8379b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0f480ebc09e2ffe2488d8a826794dbb411818bd6294b138de53f43e9cf38d11
+size 264447
diff --git a/results/dev/hyperbola/problem_0037.png b/results/dev/hyperbola/problem_0037.png
new file mode 100644
index 0000000000000000000000000000000000000000..a64efa3934983652cb406117e24d4a1252da146f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6becc631f7fa481a0012c4eef9d3348e46feb3eaee9a374383abcfaf9794a834
+size 250664
diff --git a/results/dev/hyperbola/problem_0038.png b/results/dev/hyperbola/problem_0038.png
new file mode 100644
index 0000000000000000000000000000000000000000..70470add237e4170e9f9eb0807efb9e7d23e67e0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98ed952b4b8c7022ca20e7959062fd59bbc682bab79fd49118afc7efaeacb943
+size 260508
diff --git a/results/dev/hyperbola/problem_0043.png b/results/dev/hyperbola/problem_0043.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f8357e52cdc856f3125b2ff7f03011ce46ea0ff
--- /dev/null
+++ b/results/dev/hyperbola/problem_0043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97ee33905e87ada57ed3a1ac4864bf74d9706f60291fa36585bcf25dfd713cea
+size 265302
diff --git a/results/dev/hyperbola/problem_0044.png b/results/dev/hyperbola/problem_0044.png
new file mode 100644
index 0000000000000000000000000000000000000000..b01efd4a853edd4704441d4c4531005a2d3c47b1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e314cf8accc830fba4ec9a9952f97a64105d26cd4c6104339493a40778f27873
+size 266394
diff --git a/results/dev/hyperbola/problem_0046.png b/results/dev/hyperbola/problem_0046.png
new file mode 100644
index 0000000000000000000000000000000000000000..faddb19f0f726ec19862174221ca606846976b6b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f65f3c837d563b298b92f44bef2819a4d22ae892b534cc783683ea3cafa19c67
+size 246495
diff --git a/results/dev/hyperbola/problem_0048.png b/results/dev/hyperbola/problem_0048.png
new file mode 100644
index 0000000000000000000000000000000000000000..22033fd7dcba5609919b43a1d24a20b5f2f6c32e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70254cade46b69989267bfaf64d8781e5d8b270b0e60df7da029f4d2b8c5d9b8
+size 265793
diff --git a/results/dev/hyperbola/problem_0049.png b/results/dev/hyperbola/problem_0049.png
new file mode 100644
index 0000000000000000000000000000000000000000..98f95e36b22a6ec9f814f955148393f76d3d74dc
--- /dev/null
+++ b/results/dev/hyperbola/problem_0049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:877f6e93f6dd10d2a7f5d22a9f6479e15208a251671811f4627e3e4f360f7c4c
+size 275066
diff --git a/results/dev/hyperbola/problem_0057.png b/results/dev/hyperbola/problem_0057.png
new file mode 100644
index 0000000000000000000000000000000000000000..04de0cbee7d52b847acb76819891bbec62971444
--- /dev/null
+++ b/results/dev/hyperbola/problem_0057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e84067c5597e76b1bbb8b9b4809056fb25ca1fc0f2a16c7fc290304159cc330
+size 279859
diff --git a/results/dev/hyperbola/problem_0060.png b/results/dev/hyperbola/problem_0060.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3e5d241458ea81ce9cfcb99b7983d4ca4715f72
--- /dev/null
+++ b/results/dev/hyperbola/problem_0060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34e841a1299a1982c960f82f2a20a2c8574b52e77f39c265693a3969e807f78d
+size 335127
diff --git a/results/dev/hyperbola/problem_0061.png b/results/dev/hyperbola/problem_0061.png
new file mode 100644
index 0000000000000000000000000000000000000000..efaec0145a076e2a75be287adbe040271c7c4d81
--- /dev/null
+++ b/results/dev/hyperbola/problem_0061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cdfe2484d3eab2b9b039fb08fcde5fecd4f7c5937895a17d98577852e36a850
+size 277281
diff --git a/results/dev/hyperbola/problem_0072.png b/results/dev/hyperbola/problem_0072.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a3fb7d8212c8dcd447b1bda27e842434bae0f59
--- /dev/null
+++ b/results/dev/hyperbola/problem_0072.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dd98d5a3de4d0d50e8fe9ac8dad407873d0f8acac957056df09018896f462bd
+size 247058
diff --git a/results/dev/hyperbola/problem_0081.png b/results/dev/hyperbola/problem_0081.png
new file mode 100644
index 0000000000000000000000000000000000000000..448ce2541ede1b8773b5731d5bedb6db5fb7b8bf
--- /dev/null
+++ b/results/dev/hyperbola/problem_0081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cb10c84886b4f9e82ce069190e5102a5db7369fe1f8545c4acb5a9e072c876a
+size 278201
diff --git a/results/dev/hyperbola/problem_0082.png b/results/dev/hyperbola/problem_0082.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa76082fe4fbc4f6c93f773a60ff34623050a314
--- /dev/null
+++ b/results/dev/hyperbola/problem_0082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42ec231875143f1e0274752e43be8bd35bcc086827b1d43e1b4729842766d323
+size 266796
diff --git a/results/dev/hyperbola/problem_0085.png b/results/dev/hyperbola/problem_0085.png
new file mode 100644
index 0000000000000000000000000000000000000000..e748ed7ac0459cf324fcb46a20b3d1ecff8044cf
--- /dev/null
+++ b/results/dev/hyperbola/problem_0085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45541cf5bbda55f992fb27551c9fa6e10956f843a2c7f0badf42a8640e649a23
+size 285046
diff --git a/results/dev/hyperbola/problem_0086.png b/results/dev/hyperbola/problem_0086.png
new file mode 100644
index 0000000000000000000000000000000000000000..81b20b7a344e20c4e6c22de989cde65222993a2f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfbc7ccbf78497245cb76abcc234bc5e0909d620ddbce834fb5729302dc25f54
+size 277418
diff --git a/results/dev/hyperbola/problem_0090.png b/results/dev/hyperbola/problem_0090.png
new file mode 100644
index 0000000000000000000000000000000000000000..4029d1b2cbb7a819dd10dcb0ccb4bc84cd3a7030
--- /dev/null
+++ b/results/dev/hyperbola/problem_0090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:867fd17599d5e2265249b8c9d3f4ce1891b288a15c9833c1afe8ccbf34ce8e9c
+size 287591
diff --git a/results/dev/hyperbola/problem_0092.png b/results/dev/hyperbola/problem_0092.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8dade10446b17a6680a42c4408c37391a36aef9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6d1ff5fbb86d2eb4268a618f300eb881bc865fcddf6f171724f20c629ff7b34
+size 265561
diff --git a/results/dev/hyperbola/problem_0101.png b/results/dev/hyperbola/problem_0101.png
new file mode 100644
index 0000000000000000000000000000000000000000..a368441d13912a1a52da48445d9dbc6c3c34e4c8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e999f9e8152b6d8a641cbaf75888d6db8ccea77756c53b46caf78f84e1a416c8
+size 243194
diff --git a/results/dev/hyperbola/problem_0106.png b/results/dev/hyperbola/problem_0106.png
new file mode 100644
index 0000000000000000000000000000000000000000..600fdda6fa44feb40f73cd6b80d9b1ae00795794
--- /dev/null
+++ b/results/dev/hyperbola/problem_0106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1856e120f334ea830612d9ac4d0cac2b60875259b5eb69f8aa7b43e2ecdd3b0f
+size 279602
diff --git a/results/dev/hyperbola/problem_0116.png b/results/dev/hyperbola/problem_0116.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ebe8341894924286a4653900c33115b7663fd20
--- /dev/null
+++ b/results/dev/hyperbola/problem_0116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f825acc336abe7b745bc30196c485e4603ba92bb60c36aaa7d84d33a606b8dea
+size 270790
diff --git a/results/dev/hyperbola/problem_0122.png b/results/dev/hyperbola/problem_0122.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d9b776b8797d0e4a27c491453d9757cf787d259
--- /dev/null
+++ b/results/dev/hyperbola/problem_0122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2acaa991c8caec17facca128c739797de341e8cb9be2cdfda34ab778d6dc1f7
+size 238300
diff --git a/results/dev/hyperbola/problem_0123.png b/results/dev/hyperbola/problem_0123.png
new file mode 100644
index 0000000000000000000000000000000000000000..91263e245c3652ae60f2a260074a3f503a83b43e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e89638dcb482eea8e59dbc478fde79af6cb7bd679d40ea82256dedb35dff073
+size 268232
diff --git a/results/dev/hyperbola/problem_0129.png b/results/dev/hyperbola/problem_0129.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cf196a9a790858554362819f9bf0b96ae4bdfd4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49c39d5293a562967951e55bb5aade493125e2250ea9fab8f918b032371cdcdd
+size 267010
diff --git a/results/dev/hyperbola/problem_0133.png b/results/dev/hyperbola/problem_0133.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fa8eebdf1e5ad8fbcb37f8bbe130ef74c80934b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cd5ffb1a534ca338f030abcc0037747e504df2a6ad5f3c321bb6b76a63f63ed
+size 243231
diff --git a/results/dev/hyperbola/problem_0138.png b/results/dev/hyperbola/problem_0138.png
new file mode 100644
index 0000000000000000000000000000000000000000..561945f44082e93c9aa9a46f6d66737e46818a59
--- /dev/null
+++ b/results/dev/hyperbola/problem_0138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a361109febadb9d9b19a47b0609f486509cf59a9f292b208acc0095af0ae06f6
+size 266585
diff --git a/results/dev/hyperbola/problem_0140.png b/results/dev/hyperbola/problem_0140.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb0f59700353b999811efca5ea75557884fa857e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:173a94dba772c67351735ea06f0c05f36905b28612c351211d48b0b27d8f4f29
+size 259245
diff --git a/results/dev/hyperbola/problem_0148.png b/results/dev/hyperbola/problem_0148.png
new file mode 100644
index 0000000000000000000000000000000000000000..21e8dc7720a6dbc1e7d55d2841d5475fdb6eeba3
--- /dev/null
+++ b/results/dev/hyperbola/problem_0148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99ae211924c2e664d617af082815a769e70073c351ad0b66d4a6ed2a936d5c4b
+size 255108
diff --git a/results/dev/hyperbola/problem_0155.png b/results/dev/hyperbola/problem_0155.png
new file mode 100644
index 0000000000000000000000000000000000000000..19096f209e36e2faba7cdc5a8dda7bd2f83986aa
--- /dev/null
+++ b/results/dev/hyperbola/problem_0155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aaf1a78840aa147c797a22760171c1285dfd017539e2845b3af6e4fc537b8d5f
+size 261860
diff --git a/results/dev/hyperbola/problem_0157.png b/results/dev/hyperbola/problem_0157.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e1d60bc31676507ba11e9fd13c7cc96c5bb605e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddaf56267f3fff5598503ddfd7d87fc5161a8b2f85fa70183dad924d8898c040
+size 236919
diff --git a/results/dev/hyperbola/problem_0159.png b/results/dev/hyperbola/problem_0159.png
new file mode 100644
index 0000000000000000000000000000000000000000..4346c67011b1525bec7ca7d10000884d23fafa05
--- /dev/null
+++ b/results/dev/hyperbola/problem_0159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d160ba55a47805c60c8f1f9fbfd3b9035e8b6e39bedf856316634202eb058974
+size 258444
diff --git a/results/dev/hyperbola/problem_0163.png b/results/dev/hyperbola/problem_0163.png
new file mode 100644
index 0000000000000000000000000000000000000000..901f244bb109b23dbc22032533972b36a09c6200
--- /dev/null
+++ b/results/dev/hyperbola/problem_0163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bd2d5628a20e3dd673ee84cd028e5460050bced92b8106fb299b4c9781335fd
+size 272502
diff --git a/results/dev/hyperbola/problem_0164.png b/results/dev/hyperbola/problem_0164.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1e9639d50e0d1c4e9bd5247094243630dde3a5d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a2f565c8b31e4160559d5c645d9250aff10af62b39f5bf7305896cfb03f2735
+size 265402
diff --git a/results/dev/hyperbola/problem_0170.png b/results/dev/hyperbola/problem_0170.png
new file mode 100644
index 0000000000000000000000000000000000000000..7654784af8c4faf85157dd0e42c8ae99a80c68d3
--- /dev/null
+++ b/results/dev/hyperbola/problem_0170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:210db36f2c6426ab9c64ef6b2528e1e8c423131ed78a46aea299455746c9bdb2
+size 277848
diff --git a/results/dev/hyperbola/problem_0171.png b/results/dev/hyperbola/problem_0171.png
new file mode 100644
index 0000000000000000000000000000000000000000..b60b22b52823c46c635b1f6767cbb831f258c3ce
--- /dev/null
+++ b/results/dev/hyperbola/problem_0171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06297193aa6e45d825217e3a88ae71feb82f8269df279c89043162bea9c5a65d
+size 270750
diff --git a/results/dev/hyperbola/problem_0176.png b/results/dev/hyperbola/problem_0176.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6ae165497c3a2c9fb23f91d84dc81dfc3fbced2
--- /dev/null
+++ b/results/dev/hyperbola/problem_0176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c1ba28655c1789681166ee36c955875a9066789fecabc79b83f913be9b0c642
+size 261845
diff --git a/results/dev/hyperbola/problem_0178.png b/results/dev/hyperbola/problem_0178.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e45e99dbc11bb2c98c519e77309dfbfc396bd3e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc3b9a956499bf7871758ca1cae5e05107c718acf786fd37460c58f69fcb7025
+size 272508
diff --git a/results/dev/hyperbola/problem_0180.png b/results/dev/hyperbola/problem_0180.png
new file mode 100644
index 0000000000000000000000000000000000000000..c604a591eac45ba7e1b01e1eeb2427738ad824fc
--- /dev/null
+++ b/results/dev/hyperbola/problem_0180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6dcd7ad78423d09680ec7235aa8a5fc789d9557f40c61973df13491bace0c80
+size 261393
diff --git a/results/dev/hyperbola/problem_0189.png b/results/dev/hyperbola/problem_0189.png
new file mode 100644
index 0000000000000000000000000000000000000000..540dddab8f43a6ec071737dcd805813dd7b6d0c8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1afae934c4b171fdc393bc62f28a65cd1e57c90297a51e70ae0ea1df82d9409
+size 263195
diff --git a/results/dev/hyperbola/problem_0197.png b/results/dev/hyperbola/problem_0197.png
new file mode 100644
index 0000000000000000000000000000000000000000..532983e89cad435bc48aa589751b9d490baabea4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccc4f2a1420518a1d493478aa00ebf6d98dcfe68f72ba9aa822838b6c1948dd8
+size 274398
diff --git a/results/dev/hyperbola/problem_0198.png b/results/dev/hyperbola/problem_0198.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f528267128f8263fa18678dcf3b93c90637c997
--- /dev/null
+++ b/results/dev/hyperbola/problem_0198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e15c8d4ebfc1e8c9c6cef4c4e0f4a0750b47b41c6b1f656b010a72b2d44ca9ca
+size 271878
diff --git a/results/dev/hyperbola/problem_0203.png b/results/dev/hyperbola/problem_0203.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e12b41188b4226e02c861b66d9f2d61a9b7fe93
--- /dev/null
+++ b/results/dev/hyperbola/problem_0203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f296b2eb8c6b4a195b3375a6dc1023cbc405a2b611fa5b2dc7e11d8761e7b5f7
+size 257981
diff --git a/results/dev/hyperbola/problem_0207.png b/results/dev/hyperbola/problem_0207.png
new file mode 100644
index 0000000000000000000000000000000000000000..d28eee826cf44e14b01a07d2d7dd6d4f5d16ae20
--- /dev/null
+++ b/results/dev/hyperbola/problem_0207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e5fc5dfefaeaea189c61be6dc5f73ab59a4779ca9dbf36df5e94fde3c08d471
+size 258871
diff --git a/results/dev/hyperbola/problem_0211.png b/results/dev/hyperbola/problem_0211.png
new file mode 100644
index 0000000000000000000000000000000000000000..54f7d78285fb0bfe0c1104f35a5aab1497414d6c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aae2e57deba372f6e5ef31f8e1a22a9f8d4317448b739808f099b19bf3a37ee2
+size 259839
diff --git a/results/dev/hyperbola/problem_0212.png b/results/dev/hyperbola/problem_0212.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c32089846910584058d47652c90c562e13327b9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7446755d602a4c40e89859be9c72b44406766180caedfa345b7bc4f2d330c18a
+size 272473
diff --git a/results/dev/hyperbola/problem_0214.png b/results/dev/hyperbola/problem_0214.png
new file mode 100644
index 0000000000000000000000000000000000000000..79c194182d496921ce3f9cd0b92bb29d4edea922
--- /dev/null
+++ b/results/dev/hyperbola/problem_0214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbf62fa3e464ed9e8a34e410cf5e97694f563064debbd86675ce2cc5c13df2bf
+size 257620
diff --git a/results/dev/hyperbola/problem_0220.png b/results/dev/hyperbola/problem_0220.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad51fe8947afd5fbf82c5bd0e36786736588c0e8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:510da2dff65d24af2395d785ba6ad2a6f6ac0a14fc835dad6b19eac9c40c3aba
+size 266103
diff --git a/results/dev/hyperbola/problem_0224.png b/results/dev/hyperbola/problem_0224.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae144d2cbbea56a4b4229b8a94c167eb904927e4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0224.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aaa43f944298963bf2e2124211e0887e07d943070b36912f620f47f892eb02c9
+size 258071
diff --git a/results/dev/hyperbola/problem_0226.png b/results/dev/hyperbola/problem_0226.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ecf670d652a840d0878b359d5b686a483b8b39c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0443d3c0199bd6a1b48f43983fc6126b7ea7fa52c17082b6a9533cf511cabb08
+size 249130
diff --git a/results/dev/hyperbola/problem_0227.png b/results/dev/hyperbola/problem_0227.png
new file mode 100644
index 0000000000000000000000000000000000000000..090c0bdbcf5f7ddb8ac7464cf5d656ec1318bb6c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b108909cec3b689fdb66d2849f5fcb5282b60529188443c1c52f486eca94dc9d
+size 261160
diff --git a/results/dev/hyperbola/problem_0228.png b/results/dev/hyperbola/problem_0228.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfa0365cba5595cffb424191f70811bdf150aac7
--- /dev/null
+++ b/results/dev/hyperbola/problem_0228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fecbc6a7bf427436b7d2238a3ad67f0ec61d42e95f782bcb2aebcf71dce0360
+size 240607
diff --git a/results/dev/hyperbola/problem_0237.png b/results/dev/hyperbola/problem_0237.png
new file mode 100644
index 0000000000000000000000000000000000000000..d94f8cd5087290d89d41f4bc020806e888bbc9d9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7aa6a2c9f90430072034849bd44dd1d9c7e7beb20dc4c3a451ce8f581fcd4704
+size 264441
diff --git a/results/dev/hyperbola/problem_0255.png b/results/dev/hyperbola/problem_0255.png
new file mode 100644
index 0000000000000000000000000000000000000000..5aeaf6a86eed1d091d300e214537717e17c5da31
--- /dev/null
+++ b/results/dev/hyperbola/problem_0255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c2eb07f5db9a18a149634ad3269c1b1417e89ee6f0c796fe44caf70bee9b6bd
+size 258274
diff --git a/results/dev/hyperbola/problem_0260.png b/results/dev/hyperbola/problem_0260.png
new file mode 100644
index 0000000000000000000000000000000000000000..d81fa7fa2c44bd1bdcc7b3311fe224e4e4b4758b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39a706189ddd859011eff9c4f13979a62816725f416caac3d96e0a254c160072
+size 205382
diff --git a/results/dev/hyperbola/problem_0261.png b/results/dev/hyperbola/problem_0261.png
new file mode 100644
index 0000000000000000000000000000000000000000..e74e12db2c07723a813b8d57de670ffe6648fa32
--- /dev/null
+++ b/results/dev/hyperbola/problem_0261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e3540856d58c439b4c51094584349f6f36072b0cc14edd33035930a460ca95b
+size 261909
diff --git a/results/dev/hyperbola/problem_0270.png b/results/dev/hyperbola/problem_0270.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1fb2e80c07dd9464d339796ab33fea2ef414e86
--- /dev/null
+++ b/results/dev/hyperbola/problem_0270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f4b5a1e9d015ae7a429df5790c20fadd5e8cbdb05e4ce239efdc3ffb718ce4e
+size 263515
diff --git a/results/dev/hyperbola/problem_0271.png b/results/dev/hyperbola/problem_0271.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ac34102715991af6a2e9ecc0dea662bfb54186f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac339e317a0ebf0cfa90dfafc7781b094f1b5d9248f520ea102897771cecca73
+size 270931
diff --git a/results/dev/hyperbola/problem_0272.png b/results/dev/hyperbola/problem_0272.png
new file mode 100644
index 0000000000000000000000000000000000000000..165894f34383619ea7ebea6eb16c9f5d21fa5bce
--- /dev/null
+++ b/results/dev/hyperbola/problem_0272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9a9240ccc23792eecac048d3f95d60cb11a7d0490c69523022aeedc44546d02
+size 266828
diff --git a/results/dev/hyperbola/problem_0275.png b/results/dev/hyperbola/problem_0275.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d929315f48289aafb4d9632b35872b6d123114a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9516e1329b10fdc2686a267f99b383900db1adaf52345ccc781523bcaf293895
+size 268666
diff --git a/results/dev/hyperbola/problem_0277.png b/results/dev/hyperbola/problem_0277.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cf1dff41a58e9055c4d6bb6b068e60a2e273e9c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbbe78b578afb4ddb2f6b1975c3f714f39c579aec9a7c5328c40d714b4a156e4
+size 267102
diff --git a/results/dev/hyperbola/problem_0284.png b/results/dev/hyperbola/problem_0284.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed93e4210e9984127b0de05d5ee1425f4837ddf5
--- /dev/null
+++ b/results/dev/hyperbola/problem_0284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:782fcd49de2b0afcbc0ced94cfe2b3b8528aa94ef7fe1fbcb478773c06c3889b
+size 255886
diff --git a/results/dev/hyperbola/problem_0285.png b/results/dev/hyperbola/problem_0285.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa6ba9f4cc3ad4c6edfafd885c60e735b11b8e4a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e0dcab44d0cb43d4f50a293d1f73acf96e65763d2e1a16a252d026f0fb93e3b
+size 250619
diff --git a/results/dev/hyperbola/problem_0289.png b/results/dev/hyperbola/problem_0289.png
new file mode 100644
index 0000000000000000000000000000000000000000..11a841cb62aef33acb7225a2a3529b57eb214054
--- /dev/null
+++ b/results/dev/hyperbola/problem_0289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9ec783e1359e8c20f1b9fb24e870044da4306faa3863291e4766daca9f63d96
+size 263984
diff --git a/results/dev/hyperbola/problem_0290.png b/results/dev/hyperbola/problem_0290.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0abe1bb1337b95b2de5a96cdbde38abac9c8749
--- /dev/null
+++ b/results/dev/hyperbola/problem_0290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ede71133b8c3665b2c445b09aaa679469e05bf1055d3452683067ce38e79a275
+size 231893
diff --git a/results/dev/hyperbola/problem_0291.png b/results/dev/hyperbola/problem_0291.png
new file mode 100644
index 0000000000000000000000000000000000000000..af62b0af22e48108a4b78b7de22cf5dac78814a9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67aee87ad2e605278c400c2a8591850d27f1f79e39bd05ecb804d720f8d16173
+size 241925
diff --git a/results/dev/hyperbola/problem_0292.png b/results/dev/hyperbola/problem_0292.png
new file mode 100644
index 0000000000000000000000000000000000000000..73df18dbd7890f342602e3fa182e3f8e92c11be8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:049ba590661bd2d5287ac0e11afe4986f1c706271dd82818df6398e1f6827b16
+size 296291
diff --git a/results/dev/hyperbola/problem_0298.png b/results/dev/hyperbola/problem_0298.png
new file mode 100644
index 0000000000000000000000000000000000000000..c49bc99efe4df3040813637fac2c8391cd8de806
--- /dev/null
+++ b/results/dev/hyperbola/problem_0298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c83c798945925e2355bf29cb71c69d536759fe2d08aa479182f19768ad5dd71e
+size 266845
diff --git a/results/dev/hyperbola/problem_0300.png b/results/dev/hyperbola/problem_0300.png
new file mode 100644
index 0000000000000000000000000000000000000000..212c232ff11503de30baa8fce6597d8c04b347e5
--- /dev/null
+++ b/results/dev/hyperbola/problem_0300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f80c299e19ad1bfd2264e84da8de8265358ab48d6bddfea5699a7c0da7bb9019
+size 255268
diff --git a/results/dev/hyperbola/problem_0304.png b/results/dev/hyperbola/problem_0304.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c124ad9e3b80af4ea45f5facad165eb4a8b09e6
--- /dev/null
+++ b/results/dev/hyperbola/problem_0304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:038713c4695052b260129a8d727f2c72ec4801d4cccb932e42e7affdafd1edc9
+size 267870
diff --git a/results/dev/hyperbola/problem_0306.png b/results/dev/hyperbola/problem_0306.png
new file mode 100644
index 0000000000000000000000000000000000000000..c057bb4627b118b7935c7a4ad4889a41bbe9c46e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e48712ce6c6da8ae45e43d16e454aac56848d99a4cce071cf45f854acd11526b
+size 258253
diff --git a/results/dev/hyperbola/problem_0318.png b/results/dev/hyperbola/problem_0318.png
new file mode 100644
index 0000000000000000000000000000000000000000..f72984654f427e2d4327a179ef44318c85a73207
--- /dev/null
+++ b/results/dev/hyperbola/problem_0318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db314f7650c87d4103e22b90d95af976cea831f4e6c5f2a50573b4008eee640e
+size 274755
diff --git a/results/dev/hyperbola/problem_0320.png b/results/dev/hyperbola/problem_0320.png
new file mode 100644
index 0000000000000000000000000000000000000000..57d224bb25a01e9919b9a4d61b838b9de47f46ab
--- /dev/null
+++ b/results/dev/hyperbola/problem_0320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95b1b2d43755d5b8ff8d408e7b09484eb80ca0bef6d38a9d795fc776fa029c93
+size 271971
diff --git a/results/dev/hyperbola/problem_0321.png b/results/dev/hyperbola/problem_0321.png
new file mode 100644
index 0000000000000000000000000000000000000000..6060cbb33c663b5118d60f39402c429170960365
--- /dev/null
+++ b/results/dev/hyperbola/problem_0321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bed97e7180f22e7fafbc64ffc0a5a5ebdaff0fc654c6d7dc6516636565ce24b5
+size 265448
diff --git a/results/dev/hyperbola/problem_0323.png b/results/dev/hyperbola/problem_0323.png
new file mode 100644
index 0000000000000000000000000000000000000000..a30bbe2390f7fe1bf61c644bda63a7ee42753025
--- /dev/null
+++ b/results/dev/hyperbola/problem_0323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7db8daeb8cd86b5041b4336214c970cd4ebc57943c6ada97460ae7a09b27bc7a
+size 257376
diff --git a/results/dev/hyperbola/problem_0328.png b/results/dev/hyperbola/problem_0328.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe76d1d4166f57237ae86b485c46889f038520cc
--- /dev/null
+++ b/results/dev/hyperbola/problem_0328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d783c2c3315af9be46bf10611b07ad03be79a27c924ffa092d263e7eaecdf3f8
+size 275640
diff --git a/results/dev/hyperbola/problem_0329.png b/results/dev/hyperbola/problem_0329.png
new file mode 100644
index 0000000000000000000000000000000000000000..465f78dcb12efe636c86a78221bae2f8284a79d8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cdbbc6ce5a00b401aa0811ae5e146a9893cdcde4d7edd707841929f30b925345
+size 259540
diff --git a/results/dev/hyperbola/problem_0337.png b/results/dev/hyperbola/problem_0337.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae821c79a66bf6e35128213379dfb1d72dde654a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e649267b2bd39a8930322b3b823ea7b6e036b2bc17ce7572a64c227d478c0830
+size 235864
diff --git a/results/dev/hyperbola/problem_0338.png b/results/dev/hyperbola/problem_0338.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7d565116faf32df1ad16d480b5f0d91275f8f96
--- /dev/null
+++ b/results/dev/hyperbola/problem_0338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:403702be67250943a1ba4edfa624a69c1d3c3a798798b8fcdc29a779c6561480
+size 279257
diff --git a/results/dev/hyperbola/problem_0340.png b/results/dev/hyperbola/problem_0340.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d423681c5795b72502b1178427679e47a7bc0ba
--- /dev/null
+++ b/results/dev/hyperbola/problem_0340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ef4ff65a8c3a8b813f52a97343e63147eb43bbb3b7442b3e64e5585a595d36f
+size 257696
diff --git a/results/dev/hyperbola/problem_0345.png b/results/dev/hyperbola/problem_0345.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdbbbd8edf1c0f212b662a7bb90d81a33e5bcf59
--- /dev/null
+++ b/results/dev/hyperbola/problem_0345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:749b368f7387defd28f26338c53f62b05fb517437b6bad17cb1c3bc3212a1c1a
+size 254131
diff --git a/results/dev/hyperbola/problem_0348.png b/results/dev/hyperbola/problem_0348.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f29a7e9a0e71c1a6800743c2d5673a9d8e091ee
--- /dev/null
+++ b/results/dev/hyperbola/problem_0348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2aee083e0c33d05bdded5368c4ed0d54df4af1b00916fb8969ef08e36e0c9e5
+size 269704
diff --git a/results/dev/hyperbola/problem_0352.png b/results/dev/hyperbola/problem_0352.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eff513a6dbb1ed77c63db985f99b947f3dad750
--- /dev/null
+++ b/results/dev/hyperbola/problem_0352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77bb23a031a10ec4c36872be951f3ad82de2c3ef6b649c959a0692b7dac9b12f
+size 270951
diff --git a/results/dev/hyperbola/problem_0353.png b/results/dev/hyperbola/problem_0353.png
new file mode 100644
index 0000000000000000000000000000000000000000..13fdbd6b247242db45e49de101d023019b6dd5e5
--- /dev/null
+++ b/results/dev/hyperbola/problem_0353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2c621d38f2bc0b53851241279f39eef95591540437c10d5a3979aa214f8d0a5
+size 276504
diff --git a/results/dev/hyperbola/problem_0359.png b/results/dev/hyperbola/problem_0359.png
new file mode 100644
index 0000000000000000000000000000000000000000..019028aa3d3b86ca48d6fd1d302ce58dd2827d02
--- /dev/null
+++ b/results/dev/hyperbola/problem_0359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d5e8dd007c0036aceec74e428c51b0861c1a03bd9d57d5e6b6d5a88c15f7863
+size 277661
diff --git a/results/dev/hyperbola/problem_0365.png b/results/dev/hyperbola/problem_0365.png
new file mode 100644
index 0000000000000000000000000000000000000000..27a50e11410bfb00cf8abb84f19eda3379263860
--- /dev/null
+++ b/results/dev/hyperbola/problem_0365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3127bf5b8afb2f2d0be9adf80c5b661751a7c65500ecb5fb75022d057627ed8
+size 271019
diff --git a/results/dev/hyperbola/problem_0370.png b/results/dev/hyperbola/problem_0370.png
new file mode 100644
index 0000000000000000000000000000000000000000..166d142c999cf1147fbff97f7ffdfcc56e0e0f39
--- /dev/null
+++ b/results/dev/hyperbola/problem_0370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ae31847fb8066c2b88a65fdbcbaf9c101f1b5c69d24e63dc57a003f053eea12
+size 236425
diff --git a/results/dev/hyperbola/problem_0373.png b/results/dev/hyperbola/problem_0373.png
new file mode 100644
index 0000000000000000000000000000000000000000..3997cefb1e798a8336cc58819084f18c454584a0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddc73aa979ecdbf709a36d378e67597b7f4a0ec6cd7777c3a63510d3dd4edb77
+size 282328
diff --git a/results/dev/hyperbola/problem_0375.png b/results/dev/hyperbola/problem_0375.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cb146f741269fcaa235a1d00cd50d52a9c31481
--- /dev/null
+++ b/results/dev/hyperbola/problem_0375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f332239b0b5586cec17409cbc24d2ab5cfe1bb73703e3bccbe2a5cf64ca794a
+size 261832
diff --git a/results/dev/hyperbola/problem_0376.png b/results/dev/hyperbola/problem_0376.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f3494ab8f5aba30547aa4b7388bd9b11988339d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cd865ce462f57f493072aa0763cb3d555d90514c98acddf867887eb8da10089
+size 268836
diff --git a/results/dev/hyperbola/problem_0380.png b/results/dev/hyperbola/problem_0380.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c092268e698df0916d1485f08a6e867ecee2e61
--- /dev/null
+++ b/results/dev/hyperbola/problem_0380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37d66a8d0d148c12d06ee773fd9d57dd652bfeb1f2b0482d7fe52d0911f1f93b
+size 260751
diff --git a/results/dev/hyperbola/problem_0382.png b/results/dev/hyperbola/problem_0382.png
new file mode 100644
index 0000000000000000000000000000000000000000..790e775d71b4f6f89adf88b9c817b7c7177e624e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8185217fb2b455bd4d301fd4de2875d21047ad4d9cad3f858a59db875b83bb5
+size 262164
diff --git a/results/dev/hyperbola/problem_0383.png b/results/dev/hyperbola/problem_0383.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf5d944f68e70f76b9f4cdbc72e5a4103935fbca
--- /dev/null
+++ b/results/dev/hyperbola/problem_0383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5990ca0274d2afca3c09a05c5f3ab4be7f7d4d6c2e07433fc7788ea03a7aa6da
+size 274752
diff --git a/results/dev/hyperbola/problem_0384.png b/results/dev/hyperbola/problem_0384.png
new file mode 100644
index 0000000000000000000000000000000000000000..277d2c4050f1d446bd890120ee41d338c8c4370f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:123fa3d31ef0d8422cfa555c1b49163ceeceda974da4bb26dafa90eda96b6dff
+size 255702
diff --git a/results/dev/hyperbola/problem_0385.png b/results/dev/hyperbola/problem_0385.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd740c05ae97630b25f412119910a079fe0e90e1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c397d8b051544169a5385f85c5f426154a416454e53a9fe2ee727312753b66f7
+size 266505
diff --git a/results/dev/hyperbola/problem_0386.png b/results/dev/hyperbola/problem_0386.png
new file mode 100644
index 0000000000000000000000000000000000000000..b36677af92106ec0ebfedab9cdfb122aebcd4829
--- /dev/null
+++ b/results/dev/hyperbola/problem_0386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a72e873ad7404008dc3c0635f42ad38402d68a7d239545b17b63ac7db2d7cdc7
+size 270875
diff --git a/results/dev/hyperbola/problem_0387.png b/results/dev/hyperbola/problem_0387.png
new file mode 100644
index 0000000000000000000000000000000000000000..4652346643b2fba201c26198f59f73268ff96c1d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98a8d9f05c3d91b0f62489f26045941af0c0342ac8934b5235e13ea95a68bbdc
+size 268000
diff --git a/results/dev/hyperbola/problem_0390.png b/results/dev/hyperbola/problem_0390.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef9cd57d335522e26ff04042b5ddf36c1b4363f6
--- /dev/null
+++ b/results/dev/hyperbola/problem_0390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2883f79b8a180a924f3cdb3323b7cdfb1cccdf5a484ffe86eed670864ed14dd
+size 261728
diff --git a/results/dev/hyperbola/problem_0397.png b/results/dev/hyperbola/problem_0397.png
new file mode 100644
index 0000000000000000000000000000000000000000..84acac8237f59effd0f46683c7b465667842a9ad
--- /dev/null
+++ b/results/dev/hyperbola/problem_0397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c26974c3fd015a02a3b3dce063636cf6324e3d65d12742db7ee9632af5ea180a
+size 241356
diff --git a/results/dev/hyperbola/problem_0399.png b/results/dev/hyperbola/problem_0399.png
new file mode 100644
index 0000000000000000000000000000000000000000..23b1c7e575a18b6635c5fb7c1c17d2cbc6520138
--- /dev/null
+++ b/results/dev/hyperbola/problem_0399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b50a38eb2b56caada58d1b31f53c03fddd3d090c36a71401efadc8774dcab75
+size 236616
diff --git a/results/dev/hyperbola/problem_0401.png b/results/dev/hyperbola/problem_0401.png
new file mode 100644
index 0000000000000000000000000000000000000000..67a899b338dd2b59f3c3d6e63a11579211a66ea4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb8017653ed3ee21ca63fc41cda975d0a25767a7bd173113653908ab4b009248
+size 275680
diff --git a/results/dev/hyperbola/problem_0404.png b/results/dev/hyperbola/problem_0404.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fef6cc0f02ae257f46f99968faef60871df0b4a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ff351f05d90dc05d019fbcba983a2f6ad16a64bb0e966d5c26245074f3994ae
+size 267286
diff --git a/results/dev/hyperbola/problem_0405.png b/results/dev/hyperbola/problem_0405.png
new file mode 100644
index 0000000000000000000000000000000000000000..befc33e2d05448a207dfba1022443834fb3b26da
--- /dev/null
+++ b/results/dev/hyperbola/problem_0405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:028b5dcd8eab82b6f07192628b926f4d62218884d5363e737aa652f37f2350c2
+size 264343
diff --git a/results/dev/hyperbola/problem_0406.png b/results/dev/hyperbola/problem_0406.png
new file mode 100644
index 0000000000000000000000000000000000000000..817faa0617f3470ad19962973c7b293d13f03786
--- /dev/null
+++ b/results/dev/hyperbola/problem_0406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a35f5d0e76a8d2c2c164c7152edae72ef4af9db0658e9e73be0e3094c09356e5
+size 275571
diff --git a/results/dev/hyperbola/problem_0411.png b/results/dev/hyperbola/problem_0411.png
new file mode 100644
index 0000000000000000000000000000000000000000..4908c37a87880639da08c14f709056757c53f104
--- /dev/null
+++ b/results/dev/hyperbola/problem_0411.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7cc474b37fc27178bd2febd4895a2bb007211999b9cc76fcada02acf4b05524
+size 275285
diff --git a/results/dev/hyperbola/problem_0412.png b/results/dev/hyperbola/problem_0412.png
new file mode 100644
index 0000000000000000000000000000000000000000..623297430b4131982eac46cb041d52f2a2f9f51e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0475dd410bd1b58fd52791d4c588939eb1db45a3996cbd204be23bf784f58008
+size 310805
diff --git a/results/dev/hyperbola/problem_0416.png b/results/dev/hyperbola/problem_0416.png
new file mode 100644
index 0000000000000000000000000000000000000000..53addb364fdb80ddc3eea30c347da6887a545869
--- /dev/null
+++ b/results/dev/hyperbola/problem_0416.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e00d132d3a9b0cd563bd08fc7d4250743c25ade63f48ccafcf1c10a975ab18d
+size 280653
diff --git a/results/dev/hyperbola/problem_0419.png b/results/dev/hyperbola/problem_0419.png
new file mode 100644
index 0000000000000000000000000000000000000000..736f3be9762351ecb33cc215bb91dac2dee4c0ab
--- /dev/null
+++ b/results/dev/hyperbola/problem_0419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2883eb04996f4bfeb107aff0a909c7fc43695ef4aec09a84d323b78af97db3e
+size 237325
diff --git a/results/dev/hyperbola/problem_0421.png b/results/dev/hyperbola/problem_0421.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad2b6b621d4e4141e8a3e292217b7aa30707d2c7
--- /dev/null
+++ b/results/dev/hyperbola/problem_0421.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7205cce64bb3cf888407064508dca347f79e51b03abb933a8c36f40819618065
+size 269916
diff --git a/results/dev/hyperbola/problem_0426.png b/results/dev/hyperbola/problem_0426.png
new file mode 100644
index 0000000000000000000000000000000000000000..da71f78fbe11c61bbf09d2c47b37822ab759dc59
--- /dev/null
+++ b/results/dev/hyperbola/problem_0426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f581c65cd0c15b70eb2ef0bab7651053b5bdf3aa43e5a2969aeeec9fb533344
+size 252686
diff --git a/results/dev/hyperbola/problem_0431.png b/results/dev/hyperbola/problem_0431.png
new file mode 100644
index 0000000000000000000000000000000000000000..2aa79abe78610458a48c4ab2491f605326a1e143
--- /dev/null
+++ b/results/dev/hyperbola/problem_0431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec32a834b5646b1263b964ea8081f84cfee7d90b7ad8b7f7ec3f504e5d5b5a3a
+size 256187
diff --git a/results/dev/hyperbola/problem_0432.png b/results/dev/hyperbola/problem_0432.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0eb29ef121e2b592ef13cec76cd02bd5f6ce48e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f92bb749ed0627b61c6ce7925d8f89487eea21e43d11945a8f21147f5eac2750
+size 293049
diff --git a/results/dev/hyperbola/problem_0433.png b/results/dev/hyperbola/problem_0433.png
new file mode 100644
index 0000000000000000000000000000000000000000..db152d8e41c6b6c8e970c4a6abf7e039e8a092b7
--- /dev/null
+++ b/results/dev/hyperbola/problem_0433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f90208a04e015f2c7ef8768ef211cafc7450255ee90e43f2508a3088e3644fe
+size 216038
diff --git a/results/dev/hyperbola/problem_0434.png b/results/dev/hyperbola/problem_0434.png
new file mode 100644
index 0000000000000000000000000000000000000000..0de0d052e06ac315416b22489f4f97681bd7ad1d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8f0c061f8446864d4ecb2ea8e0bba3f561f919bd5d5c939b817b5aeb27f6f66
+size 271361
diff --git a/results/dev/hyperbola/problem_0436.png b/results/dev/hyperbola/problem_0436.png
new file mode 100644
index 0000000000000000000000000000000000000000..f6bd87fd91f95636f68f5cfb94ea48bd86915374
--- /dev/null
+++ b/results/dev/hyperbola/problem_0436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17a7dc86394ce9504a33298cd1714c0ee2d0c01f710cacbccaba002af8bdffd2
+size 256024
diff --git a/results/dev/hyperbola/problem_0439.png b/results/dev/hyperbola/problem_0439.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e7fcd826cd1d2f40946c0fb1b2a5feec42aa9ae
--- /dev/null
+++ b/results/dev/hyperbola/problem_0439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb4ab9868c3381bc23826cc50041e1e4a7396c04eae68926743380732a29356a
+size 256280
diff --git a/results/dev/hyperbola/problem_0445.png b/results/dev/hyperbola/problem_0445.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f7232efa013f4b1b1e1056c8dbeccd367017067
--- /dev/null
+++ b/results/dev/hyperbola/problem_0445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdffb4a6018886ca80263a540e8910b1b815f71013b5dbc88386ff95efa21250
+size 265970
diff --git a/results/dev/hyperbola/problem_0446.png b/results/dev/hyperbola/problem_0446.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb79aba96b0d781af666eef3df580408896aa567
--- /dev/null
+++ b/results/dev/hyperbola/problem_0446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62feb4ed5fbf1f3817efa18f44e6306a7633450dc9ad9de20dc17d571a6fd23f
+size 268555
diff --git a/results/dev/hyperbola/problem_0451.png b/results/dev/hyperbola/problem_0451.png
new file mode 100644
index 0000000000000000000000000000000000000000..4dccf5a08c7405bfdf4a47eadd8f8c1c61ee9cda
--- /dev/null
+++ b/results/dev/hyperbola/problem_0451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4595d99f3d39b0c295b865cd95d62e53ac3aaf3fe318b2dcb07abf390f5cb08
+size 266935
diff --git a/results/dev/hyperbola/problem_0452.png b/results/dev/hyperbola/problem_0452.png
new file mode 100644
index 0000000000000000000000000000000000000000..98fe9875694580818184a8fc3de34c8977785951
--- /dev/null
+++ b/results/dev/hyperbola/problem_0452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:643e7f0fb92896b417e103ed1e4886a0ecc3a706e169e765a59f92147defecbc
+size 261357
diff --git a/results/dev/hyperbola/problem_0458.png b/results/dev/hyperbola/problem_0458.png
new file mode 100644
index 0000000000000000000000000000000000000000..817c1cd0410d396aa6ae9aae920c23d8da2c90e4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e62456bb87ade84ed88e8549acb36bde3f4c430c57cbd9ed7f348f6d9dcb9d1
+size 261631
diff --git a/results/dev/hyperbola/problem_0460.png b/results/dev/hyperbola/problem_0460.png
new file mode 100644
index 0000000000000000000000000000000000000000..0571f0e8c76a561d0692338a07d69d03d4dc1c63
--- /dev/null
+++ b/results/dev/hyperbola/problem_0460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29ba8a034a9b37a9f20cddd89509392522804be90577486b59944833dd259816
+size 258556
diff --git a/results/dev/hyperbola/problem_0462.png b/results/dev/hyperbola/problem_0462.png
new file mode 100644
index 0000000000000000000000000000000000000000..85d5712f7f00413347358a0ca281899c052ff249
--- /dev/null
+++ b/results/dev/hyperbola/problem_0462.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e951cad4ab313fc8117b8e6d388057cd1d29e256d74916edd20cb87e192ff5a
+size 239325
diff --git a/results/dev/hyperbola/problem_0463.png b/results/dev/hyperbola/problem_0463.png
new file mode 100644
index 0000000000000000000000000000000000000000..04517b25702709a548d95b019643ce1c17f8b6e4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f7b3ad14f90c7a2fea5a6f2ec75b939f52538df33c2dd6bd74e17f17e908b06
+size 261046
diff --git a/results/dev/hyperbola/problem_0467.png b/results/dev/hyperbola/problem_0467.png
new file mode 100644
index 0000000000000000000000000000000000000000..54799e04bf1129e63ede22d7ba33e92d718a9e0d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da484a0d603d5143817bd9e156c44e1bc580c7a3eced3e4ecebb2455b992a3cd
+size 274224
diff --git a/results/dev/hyperbola/problem_0474.png b/results/dev/hyperbola/problem_0474.png
new file mode 100644
index 0000000000000000000000000000000000000000..8af701b7ac940609ce2c7862cd4a9202c3aef3c2
--- /dev/null
+++ b/results/dev/hyperbola/problem_0474.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b68eee13c47708025a26b5ffb720fc6f4b07517daddf8c42f4a231ec5c85c328
+size 268090
diff --git a/results/dev/hyperbola/problem_0479.png b/results/dev/hyperbola/problem_0479.png
new file mode 100644
index 0000000000000000000000000000000000000000..d26cd8ddc39b9f99c542433236d56431e0736b8e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b438abb56f81491249f9becaaa945d9c04ab2839f3c8287f8a7fbed918eeeccd
+size 260271
diff --git a/results/dev/hyperbola/problem_0480.png b/results/dev/hyperbola/problem_0480.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb2169e720167183ae499f395acd9acf31b407c9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d017dceb18c7947796e0de0e4fc5a730e63c7f16420afaf3385860e2f1eaa23
+size 261015
diff --git a/results/dev/hyperbola/problem_0483.png b/results/dev/hyperbola/problem_0483.png
new file mode 100644
index 0000000000000000000000000000000000000000..16db93e618f48726f482f7cfef56238d0446f907
--- /dev/null
+++ b/results/dev/hyperbola/problem_0483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f254a27a9da38ec453cd59debea0c86bf6912fbc722330d173d74f05cd893ea1
+size 206845
diff --git a/results/dev/hyperbola/problem_0484.png b/results/dev/hyperbola/problem_0484.png
new file mode 100644
index 0000000000000000000000000000000000000000..161a5bf31203dcdd21f6c4d210b9f6ed80210d55
--- /dev/null
+++ b/results/dev/hyperbola/problem_0484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64bc97c2c6335ad055f1ed991ea3fb7291b60e19f7fd2b5bbfeee9a45ea82e94
+size 260355
diff --git a/results/dev/hyperbola/problem_0487.png b/results/dev/hyperbola/problem_0487.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d681c528feceb00bc3fc35acc760398bbb6f7d0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0487.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79f8b6c63e006093ea3bc9ac23731187ca5a1784d0d69e24c39af7b3804e1dba
+size 242910
diff --git a/results/dev/hyperbola/problem_0488.png b/results/dev/hyperbola/problem_0488.png
new file mode 100644
index 0000000000000000000000000000000000000000..38e54dc46a121064d1f089247d830f4076c060cd
--- /dev/null
+++ b/results/dev/hyperbola/problem_0488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cefd185fe853c92ea00b995a37dd46f93138fcbef51f0404565c51edda21a92
+size 280423
diff --git a/results/dev/hyperbola/problem_0496.png b/results/dev/hyperbola/problem_0496.png
new file mode 100644
index 0000000000000000000000000000000000000000..61a16fad0115431f111ed1c66cb5b31ac3175079
--- /dev/null
+++ b/results/dev/hyperbola/problem_0496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e772246e8f45902918c7be6de2a1fbe041240aa9799bde9c44f3106dfc2c51b
+size 270301
diff --git a/results/dev/hyperbola/problem_0506.png b/results/dev/hyperbola/problem_0506.png
new file mode 100644
index 0000000000000000000000000000000000000000..61d4fcf240a1641fa46bcdf695a71572e1d99e22
--- /dev/null
+++ b/results/dev/hyperbola/problem_0506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0d43bf163c98369e23bc21c416ee9924f666512f6727709d29984b551c26a12
+size 266400
diff --git a/results/dev/hyperbola/problem_0511.png b/results/dev/hyperbola/problem_0511.png
new file mode 100644
index 0000000000000000000000000000000000000000..84ff1ad3d3873c646e12f588762753560a6e9223
--- /dev/null
+++ b/results/dev/hyperbola/problem_0511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed8406ecf8213a2f9f7f87356581907a9e28b71251ff1ac2a9a954969c52f33f
+size 276136
diff --git a/results/dev/hyperbola/problem_0514.png b/results/dev/hyperbola/problem_0514.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4e3ba3a08e7b01bb6c10a405a1a2fe6bff7fdaa
--- /dev/null
+++ b/results/dev/hyperbola/problem_0514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb6a22754b6bceda6ac53e3bde1e5810410ba56c70fc9c22aba34e6617e0e341
+size 259792
diff --git a/results/dev/hyperbola/problem_0520.png b/results/dev/hyperbola/problem_0520.png
new file mode 100644
index 0000000000000000000000000000000000000000..7aed9246ff99c0f1c68db0a45311ed00dfd1a9d3
--- /dev/null
+++ b/results/dev/hyperbola/problem_0520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:884953d845f9265763e29e403bb6b1c5dfb8f9b2d6c9a706a094fb72edf6f2c2
+size 274772
diff --git a/results/dev/hyperbola/problem_0522.png b/results/dev/hyperbola/problem_0522.png
new file mode 100644
index 0000000000000000000000000000000000000000..9791b1ac3c6e6e488984f6a2f3f8b8564fe0dc0e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f221b1d350f1ca0fb62538262ff8a89f5d267f9385ecedae8302dfb3c6b69e7
+size 259194
diff --git a/results/dev/hyperbola/problem_0525.png b/results/dev/hyperbola/problem_0525.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c65c8b23c46fd868f332122cf189099e597a76a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0525.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:865181caa412711bab3600b0479c22786d77ee56f1e1341b66b05b3c7744325e
+size 277220
diff --git a/results/dev/hyperbola/problem_0528.png b/results/dev/hyperbola/problem_0528.png
new file mode 100644
index 0000000000000000000000000000000000000000..51c57870f544bae446126b20a78e591a147b3532
--- /dev/null
+++ b/results/dev/hyperbola/problem_0528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bfd8caa19f93d0c441ab3fa4af3bffa9428f13a2afa652c76df067a0bdc82bb
+size 258583
diff --git a/results/dev/hyperbola/problem_0531.png b/results/dev/hyperbola/problem_0531.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f4d80ea33ce2d67b2e371a6e30b8a19b995f7f5
--- /dev/null
+++ b/results/dev/hyperbola/problem_0531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b9ecc676038d285e16dba906a3bd4d4a9fe2d3198962612a015d29d30183a57
+size 260460
diff --git a/results/dev/hyperbola/problem_0533.png b/results/dev/hyperbola/problem_0533.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d9e74516be29b4b412765766b20daed84a74b2f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac221e6570cc26ca838e53e50619e05f0a6d3fb414abaa0afc8811dd09ce3a1d
+size 267619
diff --git a/results/dev/hyperbola/problem_0534.png b/results/dev/hyperbola/problem_0534.png
new file mode 100644
index 0000000000000000000000000000000000000000..6209bdd89d602d20895237bca8e4f6e54dbe1892
--- /dev/null
+++ b/results/dev/hyperbola/problem_0534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcf9f3eec64040593957a981375b0ad39ff03db9f4281fcf7bf84016f8d6f9ee
+size 257175
diff --git a/results/dev/hyperbola/problem_0537.png b/results/dev/hyperbola/problem_0537.png
new file mode 100644
index 0000000000000000000000000000000000000000..678ffb4cd1f66cc989b81d16c2dbd4f31ccb3da7
--- /dev/null
+++ b/results/dev/hyperbola/problem_0537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3eedd0a84c923ca6ee5702ff1fd4a7e15883e75c86c31247e89484add701a63f
+size 241111
diff --git a/results/dev/hyperbola/problem_0539.png b/results/dev/hyperbola/problem_0539.png
new file mode 100644
index 0000000000000000000000000000000000000000..494886dd03acaffbd11904479313a5bfe14f4ce1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a8d5d8808d64e1ada0fca90941f242971d2b32e52e265c5ddbe01094ff6a059
+size 237973
diff --git a/results/dev/hyperbola/problem_0542.png b/results/dev/hyperbola/problem_0542.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef951c79df9ef3990c389b794f9adb67a23d9667
--- /dev/null
+++ b/results/dev/hyperbola/problem_0542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1b9a629e3e15ee1c7857e5b660ac9c8a19adf50802bb966b68b2ee1297473cd
+size 270190
diff --git a/results/dev/hyperbola/problem_0545.png b/results/dev/hyperbola/problem_0545.png
new file mode 100644
index 0000000000000000000000000000000000000000..a848ad35e2838da65534365163f333c776235980
--- /dev/null
+++ b/results/dev/hyperbola/problem_0545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc54b8813cb160070449c2406f1fd086f0a523a8cf87b08d9c44ebe6d731e956
+size 233079
diff --git a/results/dev/hyperbola/problem_0549.png b/results/dev/hyperbola/problem_0549.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf035c21368ee8eed9db5a731106c0c3d365908b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0a45b195267c1531b90401c3933cd7ab1971ec67328fb3e5d4214edaf8c5ca8
+size 274931
diff --git a/results/dev/hyperbola/problem_0554.png b/results/dev/hyperbola/problem_0554.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ef7064d2dcd8e8283e979ed6d9c75fc951f3500
--- /dev/null
+++ b/results/dev/hyperbola/problem_0554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d06c9619035267fe8e2ba5707023c8985cbe2b596418ded2c74e5ba60de8f361
+size 266556
diff --git a/results/dev/hyperbola/problem_0556.png b/results/dev/hyperbola/problem_0556.png
new file mode 100644
index 0000000000000000000000000000000000000000..69e8515a3f6c4ef7253173209bb89d1b87dc68fa
--- /dev/null
+++ b/results/dev/hyperbola/problem_0556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe919fc847edac52c52fc96dfe673577f156b364cb4319e1559c1ba7dbf7845f
+size 234184
diff --git a/results/dev/hyperbola/problem_0558.png b/results/dev/hyperbola/problem_0558.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a11dd6fc100a6f0990dbebf705ba2e38e43283e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd7a3778af623f5821dcee4a012a2fff623ad2b6b88345c2c4dac317d8cfc60d
+size 284922
diff --git a/results/dev/hyperbola/problem_0563.png b/results/dev/hyperbola/problem_0563.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ddd303c26a9cabbb91f83a7d14d7777f1314fa4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9b56e7fbbf25f9ee108fc9e5d7a24db602cf83bca79910c4505e25eb32fd8f4
+size 249609
diff --git a/results/dev/hyperbola/problem_0578.png b/results/dev/hyperbola/problem_0578.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b338bab36f054ab3c83b4842eeaf5bf962e05ef
--- /dev/null
+++ b/results/dev/hyperbola/problem_0578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c9801a11566bfa80060ef1962da2394ebbd8c809f36755d147fe3c76588beaa
+size 270539
diff --git a/results/dev/hyperbola/problem_0580.png b/results/dev/hyperbola/problem_0580.png
new file mode 100644
index 0000000000000000000000000000000000000000..d95d0154ef0ac9ea47c204dc64927b39a5748c83
--- /dev/null
+++ b/results/dev/hyperbola/problem_0580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3013255055aa4bb24581449e24cc1e5474a0c33397f521d265446be9d183c723
+size 252207
diff --git a/results/dev/hyperbola/problem_0584.png b/results/dev/hyperbola/problem_0584.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9aac0e4c71c35c8b1dda57dc92443cde1a853dc
--- /dev/null
+++ b/results/dev/hyperbola/problem_0584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c82d9cfc0ead13a19d978510bcd286bf934e2ac9db42c76d9ca9ed4a0afb30e
+size 240260
diff --git a/results/dev/hyperbola/problem_0586.png b/results/dev/hyperbola/problem_0586.png
new file mode 100644
index 0000000000000000000000000000000000000000..78c94bb6eddc7e44ddf2df30a74646f581df9783
--- /dev/null
+++ b/results/dev/hyperbola/problem_0586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c6d88f91472987176577963a77b6a48211eb2d35596ab8ef29a2b2ef7d16944
+size 251660
diff --git a/results/dev/hyperbola/problem_0588.png b/results/dev/hyperbola/problem_0588.png
new file mode 100644
index 0000000000000000000000000000000000000000..e82027d3bac8eb274a0c04b6bb679a8abb109ad8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7b080e551a25929ffbd56f5df0354a99d023f62ae16aefd6eba418a3a026624
+size 267201
diff --git a/results/dev/hyperbola/problem_0590.png b/results/dev/hyperbola/problem_0590.png
new file mode 100644
index 0000000000000000000000000000000000000000..134d31ecb46cd55e7cf4c3b95679c4edd26f5196
--- /dev/null
+++ b/results/dev/hyperbola/problem_0590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59e08fdd97394c4c1528151cbb754bfae4e415ec3ca1774e856fd15e84664fbc
+size 276070
diff --git a/results/dev/hyperbola/problem_0592.png b/results/dev/hyperbola/problem_0592.png
new file mode 100644
index 0000000000000000000000000000000000000000..85b060364ca2e6dfa63615f626d545779e809701
--- /dev/null
+++ b/results/dev/hyperbola/problem_0592.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b1c50e38a0cb43c2fe8815652528a54c92950bc7068ea1165d6b0771b384a0d
+size 271367
diff --git a/results/dev/hyperbola/problem_0600.png b/results/dev/hyperbola/problem_0600.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d75166a5017866f6517789d5e31e5870b59e728
--- /dev/null
+++ b/results/dev/hyperbola/problem_0600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52f8ec4efc23e43e967dd7959dcc25f2655f605302c533780ad0730ef76b9658
+size 257541
diff --git a/results/dev/hyperbola/problem_0601.png b/results/dev/hyperbola/problem_0601.png
new file mode 100644
index 0000000000000000000000000000000000000000..860397ea8cdf2dd0d2afc8e40c50a877b9b95bac
--- /dev/null
+++ b/results/dev/hyperbola/problem_0601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfe226668ffafe6b9f48acba9f29a214c6aa9bfd0682d0dbff104758a9d08e68
+size 260148
diff --git a/results/dev/hyperbola/problem_0603.png b/results/dev/hyperbola/problem_0603.png
new file mode 100644
index 0000000000000000000000000000000000000000..866b69c7c984b743a13e35e9ea565a39f338c2ff
--- /dev/null
+++ b/results/dev/hyperbola/problem_0603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b10dc9afd46e1ed88fb24ab9790029e8ead82d46e9520cc9b857554e4dfc919
+size 286086
diff --git a/results/dev/hyperbola/problem_0614.png b/results/dev/hyperbola/problem_0614.png
new file mode 100644
index 0000000000000000000000000000000000000000..d854379ebe2fae772e7698f634c42e1e14f3d122
--- /dev/null
+++ b/results/dev/hyperbola/problem_0614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f93466f2783cce2ba0fcf271815049e49742c18eeba115efec99014c355b6d28
+size 273149
diff --git a/results/dev/hyperbola/problem_0617.png b/results/dev/hyperbola/problem_0617.png
new file mode 100644
index 0000000000000000000000000000000000000000..c653bb62371bc1a8ba3847710e417bafac7ef0fe
--- /dev/null
+++ b/results/dev/hyperbola/problem_0617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d07928f9962293fe2448b7bea9bfa2619cf13a5403fa176fd79abf88034420d1
+size 264528
diff --git a/results/dev/hyperbola/problem_0618.png b/results/dev/hyperbola/problem_0618.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a6dd68a9d240b01abe3bd59db14f5e44341a3a1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2bd5bb05b169d72c5cade5c889faaa720f6994be83d918ef33f27d778f066f6
+size 267764
diff --git a/results/dev/hyperbola/problem_0622.png b/results/dev/hyperbola/problem_0622.png
new file mode 100644
index 0000000000000000000000000000000000000000..86671eac74b3bc3d76d08a0a6451c78c20fc6f22
--- /dev/null
+++ b/results/dev/hyperbola/problem_0622.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7700ac6cef25dc7314d91f7e63c35c8e4fb24afc4d51612dd930bc26dc3d921
+size 270759
diff --git a/results/dev/hyperbola/problem_0625.png b/results/dev/hyperbola/problem_0625.png
new file mode 100644
index 0000000000000000000000000000000000000000..2af705d2a2378dd9bf5c0970fd1953a2c0b45cc9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99ba2797a6a730206247ae7c4f82201e1e31e44b021864d5b408113c8fdcd4b0
+size 260432
diff --git a/results/dev/hyperbola/problem_0626.png b/results/dev/hyperbola/problem_0626.png
new file mode 100644
index 0000000000000000000000000000000000000000..c26fccab3abd9fb65cbb197e59349913d4f1181b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfac1e080f367d27bb9b10d1cde55ef8239c3f3d2dda6d7068ed00ea54374ba1
+size 275963
diff --git a/results/dev/hyperbola/problem_0632.png b/results/dev/hyperbola/problem_0632.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a517d8f6e9c41961683e7b37a1ce457b10c0373
--- /dev/null
+++ b/results/dev/hyperbola/problem_0632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8eb67cd1c718f660bc141ade3a517ff5d96ebdcf9f04dc665d17c09f452ced36
+size 267072
diff --git a/results/dev/hyperbola/problem_0640.png b/results/dev/hyperbola/problem_0640.png
new file mode 100644
index 0000000000000000000000000000000000000000..86650892b8f710c7a2592358b13e40bb0821061f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d6460030aff30a576ead8c8f54905d84d0df4fd26912f6a252ee8f12a108553
+size 286749
diff --git a/results/dev/hyperbola/problem_0641.png b/results/dev/hyperbola/problem_0641.png
new file mode 100644
index 0000000000000000000000000000000000000000..bacfaf4402d28a8fac851530a1f8eb9554b48a2d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0641.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c908ed826667a1389067f71fa23ba5563e08c410d20eda008946d81434bea40
+size 259776
diff --git a/results/dev/hyperbola/problem_0642.png b/results/dev/hyperbola/problem_0642.png
new file mode 100644
index 0000000000000000000000000000000000000000..99a24eb2717f1ba6ac550395c52e2b08b576b559
--- /dev/null
+++ b/results/dev/hyperbola/problem_0642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1b5bc43a2d27573cac232671ce94cc013b3e6eb02df36b8fcd33cf53699ac8f
+size 259497
diff --git a/results/dev/hyperbola/problem_0644.png b/results/dev/hyperbola/problem_0644.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c36fd62ab5b8ebf7c4fa504e9909c36f3956d4c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46f7cc4c7a0b09af93f40e5ac79990800fa73869eeebb51e619619a126d33b41
+size 265172
diff --git a/results/dev/hyperbola/problem_0645.png b/results/dev/hyperbola/problem_0645.png
new file mode 100644
index 0000000000000000000000000000000000000000..11ad121b77ffed15dcb14d0a7e8447e02a8d59b0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd89d0a7281a207df11b98fb0fa0e0a5454b8564d8d07ebd7bf5ae25fcc5d211
+size 255651
diff --git a/results/dev/hyperbola/problem_0646.png b/results/dev/hyperbola/problem_0646.png
new file mode 100644
index 0000000000000000000000000000000000000000..d70f63c1e15a448191b85892038d63bb54912c2f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa0c5c1f798948727d4d4f0ce5243bd4952532d4cb14411d4fb08c66f2bbcdb5
+size 256358
diff --git a/results/dev/hyperbola/problem_0647.png b/results/dev/hyperbola/problem_0647.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed0c668568d18816b0660b321d728fdb5f263a82
--- /dev/null
+++ b/results/dev/hyperbola/problem_0647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c67717cd3c6bdba12a8347a3e230bba86c87783003d4f49b8b7698945e60dc7
+size 280402
diff --git a/results/dev/hyperbola/problem_0649.png b/results/dev/hyperbola/problem_0649.png
new file mode 100644
index 0000000000000000000000000000000000000000..979b6f73226ed5f69cb2685061be35935db0f3b5
--- /dev/null
+++ b/results/dev/hyperbola/problem_0649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e92a4f1a578095967e4cc12af19b3639319bd073b7482ce986d7dc25b7d8a21
+size 280251
diff --git a/results/dev/hyperbola/problem_0651.png b/results/dev/hyperbola/problem_0651.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5696b61722eb474993cacd2bdd73f4622456878
--- /dev/null
+++ b/results/dev/hyperbola/problem_0651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c125280b38553eb5119bef76c0bda74d026879382b379905d9d6a3a839e4c8eb
+size 271445
diff --git a/results/dev/hyperbola/problem_0653.png b/results/dev/hyperbola/problem_0653.png
new file mode 100644
index 0000000000000000000000000000000000000000..878783ff78e4218c4106c6f435cfbe5f53b06403
--- /dev/null
+++ b/results/dev/hyperbola/problem_0653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf242befa5b624cc2f31aaec2a8d8fe4c3b570671d111efaec01706dc191871e
+size 268411
diff --git a/results/dev/hyperbola/problem_0659.png b/results/dev/hyperbola/problem_0659.png
new file mode 100644
index 0000000000000000000000000000000000000000..d40a11c3393c9ab6738127880e53046f710a803e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e27e8c67b77f917b2fe9e28274c316a5fb791c7955e2668bf76a8e054aa042d4
+size 258237
diff --git a/results/dev/hyperbola/problem_0662.png b/results/dev/hyperbola/problem_0662.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7d5ba5ba321b159d122ae8211e28eacfccb459a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d60f2683317eb59338380db74c88e48528e6461ce25040488ddc253e9e2e775
+size 262869
diff --git a/results/dev/hyperbola/problem_0663.png b/results/dev/hyperbola/problem_0663.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ae3d81b275f2644ffdca6aca37f42fb414fcf81
--- /dev/null
+++ b/results/dev/hyperbola/problem_0663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9af594d8d949812eaae487da11131da639af5014b66f440d5572f1f27c83a19
+size 262542
diff --git a/results/dev/hyperbola/problem_0666.png b/results/dev/hyperbola/problem_0666.png
new file mode 100644
index 0000000000000000000000000000000000000000..d77919f9d1b884eb4dfcdbfbd91b56d671cb02be
--- /dev/null
+++ b/results/dev/hyperbola/problem_0666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9234eeb6f2e85ccb27cc3fd73bb90da08f37b0bb7e6aced2adb3ebffd5ab4c86
+size 278729
diff --git a/results/dev/hyperbola/problem_0668.png b/results/dev/hyperbola/problem_0668.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f8c3549e6445ba8189a1db89da474ba3f7dca7c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2806f9981e18cbfe8a2555fdf40125f70390b2237e7f1d271e626a8439ee6be9
+size 272829
diff --git a/results/dev/hyperbola/problem_0673.png b/results/dev/hyperbola/problem_0673.png
new file mode 100644
index 0000000000000000000000000000000000000000..7929dcfa2d3b55e6481fb423fae68baba25f0d32
--- /dev/null
+++ b/results/dev/hyperbola/problem_0673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f518f169f3868aeb6e10f20181d7931c0903aaf5849f9885aedd38db830bcf15
+size 272487
diff --git a/results/dev/hyperbola/problem_0675.png b/results/dev/hyperbola/problem_0675.png
new file mode 100644
index 0000000000000000000000000000000000000000..460544a60f052275125b0ff279fda2708b5c3790
--- /dev/null
+++ b/results/dev/hyperbola/problem_0675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e2904a40fcbc03d000ad0090a50d1fa015bc25a319ca057c74e893331535120
+size 267302
diff --git a/results/dev/hyperbola/problem_0677.png b/results/dev/hyperbola/problem_0677.png
new file mode 100644
index 0000000000000000000000000000000000000000..520c70f761bed2c1543af46b4264927060f6d72c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fd7ee3913649392c7d187f165ec6e525d4b62ba1c08949ce22dd749e032061c
+size 249595
diff --git a/results/dev/hyperbola/problem_0678.png b/results/dev/hyperbola/problem_0678.png
new file mode 100644
index 0000000000000000000000000000000000000000..36b64058b998ce136524d7686819d41811540305
--- /dev/null
+++ b/results/dev/hyperbola/problem_0678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3812f7681e6a127550c78f13f7a5b9ccca56d6ba1a501bb07bac9cd30c544121
+size 254012
diff --git a/results/dev/hyperbola/problem_0688.png b/results/dev/hyperbola/problem_0688.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2490831ad3170a4532cb9a29cc8f36c7456a63d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:890073164adf4872d48247700a03845bc7c76a3c98612b0cc21e7dad9185ed29
+size 265062
diff --git a/results/dev/hyperbola/problem_0691.png b/results/dev/hyperbola/problem_0691.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffd69cd9b6943be6f39e34aaf46f0cccba49d710
--- /dev/null
+++ b/results/dev/hyperbola/problem_0691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36b9411f6570e50bed769e48cea5d61bfd02bd49a91e8827e01d5e0a894f822a
+size 260834
diff --git a/results/dev/hyperbola/problem_0695.png b/results/dev/hyperbola/problem_0695.png
new file mode 100644
index 0000000000000000000000000000000000000000..c000c59e17ea694aa95b7cd73ebcdace225d000b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:362bf0534efb17ec6f1432a5784c71f96458d2ab2af93309faf835f822ddbd71
+size 260956
diff --git a/results/dev/hyperbola/problem_0697.png b/results/dev/hyperbola/problem_0697.png
new file mode 100644
index 0000000000000000000000000000000000000000..39367c04d4c697028a0319811d06281b74cfa4e0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:499bed019569e4beee3825497785fc048a971bcfeeff6a2846ce3bfb526232d8
+size 267072
diff --git a/results/dev/hyperbola/problem_0702.png b/results/dev/hyperbola/problem_0702.png
new file mode 100644
index 0000000000000000000000000000000000000000..723e658f7436a43fa2d0af7b688a7a2ee4228c96
--- /dev/null
+++ b/results/dev/hyperbola/problem_0702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b77ba82577ce431e55f1b7075918634957903b4db42d0c228e167c644874f4d
+size 335259
diff --git a/results/dev/hyperbola/problem_0707.png b/results/dev/hyperbola/problem_0707.png
new file mode 100644
index 0000000000000000000000000000000000000000..df57b99a5bd4ed2d81b90a8c5cfa1fed3264597d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b29027b5cf5a1d80e05977bbf6cf17a3fcb12bdd21c6e784d3ca0bf5fb39687d
+size 256584
diff --git a/results/dev/hyperbola/problem_0708.png b/results/dev/hyperbola/problem_0708.png
new file mode 100644
index 0000000000000000000000000000000000000000..db50a1de290fe723c02919cb4913356df3061687
--- /dev/null
+++ b/results/dev/hyperbola/problem_0708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb725d753bd134b39f944815f2670c8574c3f036cc84bd75d7f127482eb21336
+size 288780
diff --git a/results/dev/hyperbola/problem_0712.png b/results/dev/hyperbola/problem_0712.png
new file mode 100644
index 0000000000000000000000000000000000000000..76431b1ebd9158961583dfc9c80d170b95acb9e8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1856604a41ea783e3571e6569742f17e14ded209eec95dde41551911c5d84c43
+size 253128
diff --git a/results/dev/hyperbola/problem_0713.png b/results/dev/hyperbola/problem_0713.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb82fcb9d7eabaccffd669f793f824571dfe778b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f276fa6c8d4731a685f330f6a96df53cb010e8d169031ef8747dd171a2243844
+size 262189
diff --git a/results/dev/hyperbola/problem_0715.png b/results/dev/hyperbola/problem_0715.png
new file mode 100644
index 0000000000000000000000000000000000000000..65d5f922f4942ff9d466b76d9cb0fc37e4b4f372
--- /dev/null
+++ b/results/dev/hyperbola/problem_0715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bca6f15a2c5265120eeb08f8a1f3bbcaa9ac736ba9bb247d896300b94ddd35c1
+size 243203
diff --git a/results/dev/hyperbola/problem_0719.png b/results/dev/hyperbola/problem_0719.png
new file mode 100644
index 0000000000000000000000000000000000000000..06b9d5f61e75623a28fb2ddbde5eb2656882b8f3
--- /dev/null
+++ b/results/dev/hyperbola/problem_0719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c981fbd9b5fb0e18ef77831cfb1faa317095edc009c41413641dcf11dc86a64b
+size 269523
diff --git a/results/dev/hyperbola/problem_0732.png b/results/dev/hyperbola/problem_0732.png
new file mode 100644
index 0000000000000000000000000000000000000000..322fc1e9abe5d662db632859bbb2ab2b78f92184
--- /dev/null
+++ b/results/dev/hyperbola/problem_0732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eba6aec50f2fe4d8bb9486b2f1ce3a2bb184586b64378055d109a829b70e6764
+size 266738
diff --git a/results/dev/hyperbola/problem_0734.png b/results/dev/hyperbola/problem_0734.png
new file mode 100644
index 0000000000000000000000000000000000000000..db60dbee5167a3a98114b79f64c3d30a2084bc6d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d307354cf4186d99af415313959cc43e8acdbb11ecbea06a364f4ecb71098cec
+size 282675
diff --git a/results/dev/hyperbola/problem_0736.png b/results/dev/hyperbola/problem_0736.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a8c8a61943a43295b0f0485e741b20c695afe87
--- /dev/null
+++ b/results/dev/hyperbola/problem_0736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2e80f42c52787183eab589597efe5c7c84b2a25782a0cb39b4ca1dd327a6563
+size 260317
diff --git a/results/dev/hyperbola/problem_0747.png b/results/dev/hyperbola/problem_0747.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b1f5666cdf83bf841aaea0e4dbb3bfb18df9778
--- /dev/null
+++ b/results/dev/hyperbola/problem_0747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7024486ac5fe63dded5b9f07993c14799bcc8d143348bd5e6968c94c39552416
+size 245492
diff --git a/results/dev/hyperbola/problem_0754.png b/results/dev/hyperbola/problem_0754.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1687c2b1936fc84ccb87b1ee0ebace47e41a6ff
--- /dev/null
+++ b/results/dev/hyperbola/problem_0754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2fc8a7acf17a4f5484883727e4d6378fd7a3757352a12403ea785b0b2e4edd6
+size 262341
diff --git a/results/dev/hyperbola/problem_0755.png b/results/dev/hyperbola/problem_0755.png
new file mode 100644
index 0000000000000000000000000000000000000000..89b5fd6fc18dab9c062250ab677934f03876967d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:345141f3245bc14ea5b756da039461ee6771f757aa6800da8d01082c4f9d22b8
+size 245906
diff --git a/results/dev/hyperbola/problem_0757.png b/results/dev/hyperbola/problem_0757.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd28ea6d69e33b4ddbfde07b4d78e2ca0612c37e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3ba58886764b944c0cec8c59a4328071f68ed09294477ebb9393022b3b8f8c0
+size 257245
diff --git a/results/dev/hyperbola/problem_0760.png b/results/dev/hyperbola/problem_0760.png
new file mode 100644
index 0000000000000000000000000000000000000000..11a8fe9ccdf2a2db1466b2e91399f5c9e410d99c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9648025588d64287b5307c2f719b130de3b2eae93cbc358fc26800f642bc18ee
+size 262220
diff --git a/results/dev/hyperbola/problem_0761.png b/results/dev/hyperbola/problem_0761.png
new file mode 100644
index 0000000000000000000000000000000000000000..03264c08c6016dc3a07cc8881960b277bd2f5092
--- /dev/null
+++ b/results/dev/hyperbola/problem_0761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1566801e99e1c6d90dfc50be87aaed2bd4f399b25afa7c3a870d1211632af6f
+size 270858
diff --git a/results/dev/hyperbola/problem_0762.png b/results/dev/hyperbola/problem_0762.png
new file mode 100644
index 0000000000000000000000000000000000000000..44da8f8b10ec9a8d6ff5ae29aaf7b772388f6186
--- /dev/null
+++ b/results/dev/hyperbola/problem_0762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3adf15abeb094ecdda2aeb2f29364dd4f92e396614c889c557c22f8640fe3f00
+size 256061
diff --git a/results/dev/hyperbola/problem_0763.png b/results/dev/hyperbola/problem_0763.png
new file mode 100644
index 0000000000000000000000000000000000000000..a26ea7a29751a79e3f283e2a129dca3cd5b777ad
--- /dev/null
+++ b/results/dev/hyperbola/problem_0763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71fbb18dbb04768a6237c0d2d63aa4a5ca71e28c8eab81353342af33a1db3626
+size 256357
diff --git a/results/dev/hyperbola/problem_0765.png b/results/dev/hyperbola/problem_0765.png
new file mode 100644
index 0000000000000000000000000000000000000000..8491476571a8154ef9d68aebfd5e4cb4c39da3b1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71cb859c124a251b909f009626e89f1a936cc5e3a3600cc4d5227de76801ff25
+size 249405
diff --git a/results/dev/hyperbola/problem_0770.png b/results/dev/hyperbola/problem_0770.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4bd521feaab81d8a68b3ea17d816a9de3466699
--- /dev/null
+++ b/results/dev/hyperbola/problem_0770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8fcf2e8c37576b3edb65ee686aa7dcf24a7dafa913c5c0d1bb5473b290ff4d8
+size 270058
diff --git a/results/dev/hyperbola/problem_0773.png b/results/dev/hyperbola/problem_0773.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5a1161818055ca2f673c1ab79d018c5846a6c78
--- /dev/null
+++ b/results/dev/hyperbola/problem_0773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18ce46ccc44465005b5df894f702bbadd89d9021e289cc4125c7bd845c9667ae
+size 270949
diff --git a/results/dev/hyperbola/problem_0774.png b/results/dev/hyperbola/problem_0774.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b661ed73a4e7ae34106bfaebdc96b96303aa7c8
--- /dev/null
+++ b/results/dev/hyperbola/problem_0774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd69020f54888d90f9e5ff262aa327eceb14200fcdfb82fd8a87de7936047082
+size 262405
diff --git a/results/dev/hyperbola/problem_0782.png b/results/dev/hyperbola/problem_0782.png
new file mode 100644
index 0000000000000000000000000000000000000000..74af3f76ac6aa263b03c6c54ba1ffee085483b7b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61aa2c415caf96badd9e4d94516b7529299508a2c34ccf2e50c416d8dc6ae96e
+size 256724
diff --git a/results/dev/hyperbola/problem_0784.png b/results/dev/hyperbola/problem_0784.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0af44c10e312dcaa61bffab6fcd810085581c63
--- /dev/null
+++ b/results/dev/hyperbola/problem_0784.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af13563927be0a5351c56833501cca1a15f6915c2ab80f394affdcd0e09caa01
+size 271761
diff --git a/results/dev/hyperbola/problem_0785.png b/results/dev/hyperbola/problem_0785.png
new file mode 100644
index 0000000000000000000000000000000000000000..fda8f7fe9892033e0ccbf4061885573ce85b9b0f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d012ca76b9db334c899be1f3848876690a011f643823662fd2fa05fcdc06d3e
+size 267946
diff --git a/results/dev/hyperbola/problem_0788.png b/results/dev/hyperbola/problem_0788.png
new file mode 100644
index 0000000000000000000000000000000000000000..61a536b3cb91d458063c42a5f1d0e1f0d7da63b6
--- /dev/null
+++ b/results/dev/hyperbola/problem_0788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7456675bb44c7afcee5b3780487ff8aa54970810d95cae2e157196cd7066397
+size 261371
diff --git a/results/dev/hyperbola/problem_0790.png b/results/dev/hyperbola/problem_0790.png
new file mode 100644
index 0000000000000000000000000000000000000000..db500950ecc9d1c628ede046375d8a3e21615c5e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f153e665e4e93ab2588a3efc6566c1880934b30ca7e047b72c15c9192f3486b4
+size 274266
diff --git a/results/dev/hyperbola/problem_0795.png b/results/dev/hyperbola/problem_0795.png
new file mode 100644
index 0000000000000000000000000000000000000000..823d6075703789a0900f1d863514dac3e952b5ac
--- /dev/null
+++ b/results/dev/hyperbola/problem_0795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a05aba0473cc4044e0dfa9bb9b2383b007a1fe644f63bb2121ac0156608b87b4
+size 264224
diff --git a/results/dev/hyperbola/problem_0797.png b/results/dev/hyperbola/problem_0797.png
new file mode 100644
index 0000000000000000000000000000000000000000..23136a96e2bbafb9d62dbc754515e6c7f3f45cec
--- /dev/null
+++ b/results/dev/hyperbola/problem_0797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5cd7a938b7c7c246ef7268a9af39444de72d07f5ba48ffca961baac6d4285fc
+size 274004
diff --git a/results/dev/hyperbola/problem_0798.png b/results/dev/hyperbola/problem_0798.png
new file mode 100644
index 0000000000000000000000000000000000000000..a961fe2e0b8ea532033de2ca11a10ea156171adb
--- /dev/null
+++ b/results/dev/hyperbola/problem_0798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbc507dd54a9694ddeb95a853cae54f4690c6da6fd009a85b1dbde66de945cdc
+size 277582
diff --git a/results/dev/hyperbola/problem_0800.png b/results/dev/hyperbola/problem_0800.png
new file mode 100644
index 0000000000000000000000000000000000000000..14c1874f0bb052d4ad13da6ec4139b9e7e3f8ab1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01d978bdcfa0662d1bee5c478444d334411aa44724c0c22810a7f02634b024c5
+size 272788
diff --git a/results/dev/hyperbola/problem_0802.png b/results/dev/hyperbola/problem_0802.png
new file mode 100644
index 0000000000000000000000000000000000000000..1994add13c07f4e96fce26caedf5a47db25b2396
--- /dev/null
+++ b/results/dev/hyperbola/problem_0802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64a0ec38954c6d51922756809e3a7c2bf177362e717c52cd3d3e9b00197bae74
+size 241239
diff --git a/results/dev/hyperbola/problem_0808.png b/results/dev/hyperbola/problem_0808.png
new file mode 100644
index 0000000000000000000000000000000000000000..745877bee69a0622722a77067e6b7fb76e4796f2
--- /dev/null
+++ b/results/dev/hyperbola/problem_0808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa60db9d506709be4dc3a1320bff694270315d3d558b1e44edded413a306ffae
+size 250686
diff --git a/results/dev/hyperbola/problem_0811.png b/results/dev/hyperbola/problem_0811.png
new file mode 100644
index 0000000000000000000000000000000000000000..db9fcea2d71a09729b738fd14352a298c1ec3274
--- /dev/null
+++ b/results/dev/hyperbola/problem_0811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9ae16ea323aadc20303bf7855dc7c74ba7bc9c7fc7c6c07a80b7afc0f888258
+size 264481
diff --git a/results/dev/hyperbola/problem_0812.png b/results/dev/hyperbola/problem_0812.png
new file mode 100644
index 0000000000000000000000000000000000000000..186fff2aa1393f6a38bd06943a6d512910b8b461
--- /dev/null
+++ b/results/dev/hyperbola/problem_0812.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b66c8620b0aed9a266eeef08d925c261514568e2ff4603a8a109c5615685410
+size 262753
diff --git a/results/dev/hyperbola/problem_0814.png b/results/dev/hyperbola/problem_0814.png
new file mode 100644
index 0000000000000000000000000000000000000000..85c5d7db9943044e328b0edbe1551321808a3f0b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b65199acac3194ac8eb8e56bd784d7c3f5bc7bd40d084616ad7e73cd014a2572
+size 259616
diff --git a/results/dev/hyperbola/problem_0815.png b/results/dev/hyperbola/problem_0815.png
new file mode 100644
index 0000000000000000000000000000000000000000..de182df031d828132da7a0f93f7f88838eda8c7d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11e82fed9f9df9a573435f5d95e38d6ac3e0ac3339ded44e4604f5646181d964
+size 253281
diff --git a/results/dev/hyperbola/problem_0816.png b/results/dev/hyperbola/problem_0816.png
new file mode 100644
index 0000000000000000000000000000000000000000..531232535b7b3a2731dc35a6199d8c8a8f5d1592
--- /dev/null
+++ b/results/dev/hyperbola/problem_0816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82b97b3df393e78bad2631215411786dcc47f09c1b9dda5d84f8c9addb4daf2c
+size 264092
diff --git a/results/dev/hyperbola/problem_0828.png b/results/dev/hyperbola/problem_0828.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ec4275e8b62db8700012514414d331b0e214657
--- /dev/null
+++ b/results/dev/hyperbola/problem_0828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2be0d3a821295e851b7ce2b899b35f51923c8b5310f955fc8f70f70d6c4e2cb1
+size 265941
diff --git a/results/dev/hyperbola/problem_0830.png b/results/dev/hyperbola/problem_0830.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ad636367fe9d3c92b03bda7ed462f40df959368
--- /dev/null
+++ b/results/dev/hyperbola/problem_0830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89a294b91d4dcfeed3923ea24462da0c0e1bcb4ccbd2ef64da8e29a30d7b6f8f
+size 272141
diff --git a/results/dev/hyperbola/problem_0837.png b/results/dev/hyperbola/problem_0837.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebfe9092ea9027a7ad9f89e991912c0056bcddb4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96158a610c8e2d3405028ae43bc7e1365baa608e362712fcf742542e14782049
+size 245614
diff --git a/results/dev/hyperbola/problem_0840.png b/results/dev/hyperbola/problem_0840.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bfd1baa965ea82e27086eceb0d807bb7907b896
--- /dev/null
+++ b/results/dev/hyperbola/problem_0840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64bd650e5fd81df005faf4f6236debf6826ce369bb13a5c46e3967f8bef03f03
+size 251983
diff --git a/results/dev/hyperbola/problem_0845.png b/results/dev/hyperbola/problem_0845.png
new file mode 100644
index 0000000000000000000000000000000000000000..46d7d9a6680439aa701d07011a31d7617b2ef46d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0591ab18572d4ccfa9b9649baef1d9d6e8957a2673c5f9c37092a23607cf5a1
+size 257866
diff --git a/results/dev/hyperbola/problem_0851.png b/results/dev/hyperbola/problem_0851.png
new file mode 100644
index 0000000000000000000000000000000000000000..fba56f68c1e5f5b2c9b71393b5342bc0b9015b7f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b18c85a92d2bae57f327853c106528e57de70dd3aeb8171a1f938d286657f56b
+size 265073
diff --git a/results/dev/hyperbola/problem_0857.png b/results/dev/hyperbola/problem_0857.png
new file mode 100644
index 0000000000000000000000000000000000000000..bcdaa438e8bd011efddb195da37015eec15b52a9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad75d4c466f937766bf8f428320ca9f54e35c47f893660882aef42b3a7db2f3a
+size 260954
diff --git a/results/dev/hyperbola/problem_0858.png b/results/dev/hyperbola/problem_0858.png
new file mode 100644
index 0000000000000000000000000000000000000000..64df65b92946b2d7aefefd00bc011838aaaa5f64
--- /dev/null
+++ b/results/dev/hyperbola/problem_0858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:556e73010384606af2e7d4ec1a91ed34f88bfc886fe36d38d694018e0bc30010
+size 268187
diff --git a/results/dev/hyperbola/problem_0859.png b/results/dev/hyperbola/problem_0859.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad24707082086cec616f347068894619e88e5260
--- /dev/null
+++ b/results/dev/hyperbola/problem_0859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc72cc363b1a15ddde69549589541d7f437ea1b429f913110f8e4637565be3e2
+size 267881
diff --git a/results/dev/hyperbola/problem_0871.png b/results/dev/hyperbola/problem_0871.png
new file mode 100644
index 0000000000000000000000000000000000000000..545fd3c4399ce7efd8430d57b251f897ccfaeea1
--- /dev/null
+++ b/results/dev/hyperbola/problem_0871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1c064fbfa93634e7c2df01cc0d5b26757be83d47b0d5d9c45bd3ea7c2c94f3d
+size 263944
diff --git a/results/dev/hyperbola/problem_0875.png b/results/dev/hyperbola/problem_0875.png
new file mode 100644
index 0000000000000000000000000000000000000000..749188694b492c7cc5f5acc90691d55d880f51d4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:588d86d0f0804f1d1fa22adae964b020ac81825283095bcf3500699917527c94
+size 242287
diff --git a/results/dev/hyperbola/problem_0876.png b/results/dev/hyperbola/problem_0876.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9608a290fad2eed9be0dd2cb4866185ef00ec6d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19594624a4d6ba4d0b5d918e27c1b2b6eb7f9f611f122d3b73f88089a3fff650
+size 267855
diff --git a/results/dev/hyperbola/problem_0877.png b/results/dev/hyperbola/problem_0877.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab591101116662bb78af6a153a3ddc716544b8a4
--- /dev/null
+++ b/results/dev/hyperbola/problem_0877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f9e3954144fedaa75ccd6e69ae001e3bd8edbf020484f26c8bad5fd23618458
+size 263240
diff --git a/results/dev/hyperbola/problem_0881.png b/results/dev/hyperbola/problem_0881.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2989ce5aecf25e7268c91d7f669a895a84312ef
--- /dev/null
+++ b/results/dev/hyperbola/problem_0881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea12d9d067925a977284496ef6705192db794fea98a3f7bc2a52219c99505f19
+size 257660
diff --git a/results/dev/hyperbola/problem_0888.png b/results/dev/hyperbola/problem_0888.png
new file mode 100644
index 0000000000000000000000000000000000000000..450bd525eb92ae23d8eeb1d9f6a0a41edb3bda22
--- /dev/null
+++ b/results/dev/hyperbola/problem_0888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8ee191d24cf15ba0409f705074dfdd06f799498bda9d5a6d0d0c27662db8364
+size 254930
diff --git a/results/dev/hyperbola/problem_0889.png b/results/dev/hyperbola/problem_0889.png
new file mode 100644
index 0000000000000000000000000000000000000000..a54810e2d70210a0c81698c3f3b3ad82dc49661c
--- /dev/null
+++ b/results/dev/hyperbola/problem_0889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4dc3612a31f363f771c0b6548b0b6c3f837ed52609b700501615678df4799b5e
+size 268351
diff --git a/results/dev/hyperbola/problem_0890.png b/results/dev/hyperbola/problem_0890.png
new file mode 100644
index 0000000000000000000000000000000000000000..acb8e09b1884cebeace24e1789b6a6f06baffea0
--- /dev/null
+++ b/results/dev/hyperbola/problem_0890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:994d9ad7461d1927211897df50c486205729affe2c64e54abe6e0bb198225460
+size 262775
diff --git a/results/dev/hyperbola/problem_0896.png b/results/dev/hyperbola/problem_0896.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab129cf0dd2dd89122f05f1afe55f8404cc0c573
--- /dev/null
+++ b/results/dev/hyperbola/problem_0896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62929f27ccab05a27c3a1f35b2dec6e009026112eca1818bcf1f0f9d92ce9d2c
+size 262922
diff --git a/results/dev/hyperbola/problem_0898.png b/results/dev/hyperbola/problem_0898.png
new file mode 100644
index 0000000000000000000000000000000000000000..34f1bad39f32115c5409c8cfdbc7582710e6717b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:267433be01606e0422483e752fc91553ff203e5654190709bcb22e71da8029b9
+size 262202
diff --git a/results/dev/hyperbola/problem_0899.png b/results/dev/hyperbola/problem_0899.png
new file mode 100644
index 0000000000000000000000000000000000000000..46d9d0329e8b4815bf0cc40b7a10c7b701ac0c1d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5c89c84d8c46baeff1b32881cbb2c756c9c257611ba7f133d5292808585b518
+size 293317
diff --git a/results/dev/hyperbola/problem_0900.png b/results/dev/hyperbola/problem_0900.png
new file mode 100644
index 0000000000000000000000000000000000000000..87a5a3789b8bef23a57cf2cd376190c3dbe81fee
--- /dev/null
+++ b/results/dev/hyperbola/problem_0900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1100438650531bbc707cbceebb11110f9a25c88e790d38d456e7216157e18b9
+size 263637
diff --git a/results/dev/hyperbola/problem_0901.png b/results/dev/hyperbola/problem_0901.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4bc3c4b4b634273c423c86931c9da439ff31e0f
--- /dev/null
+++ b/results/dev/hyperbola/problem_0901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d4cd1650d5b29a9298d177b1d96b67f20f6f6b2cde467a8d5a56c6ede2d2c44
+size 267327
diff --git a/results/dev/hyperbola/problem_0904.png b/results/dev/hyperbola/problem_0904.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3595342a4d4350535e7754a26c0cb3a6ba1ae63
--- /dev/null
+++ b/results/dev/hyperbola/problem_0904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d914925af303bf81aff2343fd44fd85a81413549f07c937b76e96bfec9a5962
+size 251413
diff --git a/results/dev/hyperbola/problem_0905.png b/results/dev/hyperbola/problem_0905.png
new file mode 100644
index 0000000000000000000000000000000000000000..0288c864a4622582969cab6198cae923632eb256
--- /dev/null
+++ b/results/dev/hyperbola/problem_0905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9b810b82ebcede091eca33cf79c4c0479f0e06fb7ff7de9709032ee6a9c0438
+size 269544
diff --git a/results/dev/hyperbola/problem_0906.png b/results/dev/hyperbola/problem_0906.png
new file mode 100644
index 0000000000000000000000000000000000000000..d29b646bb63afe7be104abfc28ff3081fc2c168e
--- /dev/null
+++ b/results/dev/hyperbola/problem_0906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d63537c9133d5e59e6e0c9348730f9ff39961c203a3ecab55dfec5eebb0903fc
+size 247910
diff --git a/results/dev/hyperbola/problem_0908.png b/results/dev/hyperbola/problem_0908.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5b798659cb32a189a13b8b328eafbb8226f821a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5602db2950b5aa15455b46ff4450de52221cffc114c477ba4e5ce0ca085582f1
+size 268012
diff --git a/results/dev/hyperbola/problem_0914.png b/results/dev/hyperbola/problem_0914.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5670c21f1aef2361f2359a9311761b61fe8f5f5
--- /dev/null
+++ b/results/dev/hyperbola/problem_0914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3716feba3bd9d17832508ec8d1a3b7d2b7f44b47eadc295b77b842fcc707f29
+size 270971
diff --git a/results/dev/hyperbola/problem_0918.png b/results/dev/hyperbola/problem_0918.png
new file mode 100644
index 0000000000000000000000000000000000000000..c956aa4424ac433dd5533f72880f533dc94a3d88
--- /dev/null
+++ b/results/dev/hyperbola/problem_0918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6612d4c80d34780718336af519c1e4b916144e46e746a8e997c5056f8db638b3
+size 275979
diff --git a/results/dev/hyperbola/problem_0923.png b/results/dev/hyperbola/problem_0923.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5230d472b703150b67826cd219b0cffc4d8a297
--- /dev/null
+++ b/results/dev/hyperbola/problem_0923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8932f1d3100fb7ca0245817fbad48cc879ed5e8468dee1851146c6e4e2ec643
+size 266791
diff --git a/results/dev/hyperbola/problem_0931.png b/results/dev/hyperbola/problem_0931.png
new file mode 100644
index 0000000000000000000000000000000000000000..86ee381e0754b7eac80e8bce27a3ccf49e54eca9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c47d3aaf9818f5121bd5022cf3c8cf2e925937d9a4a8dc1bf3eaa9efa2323837
+size 246367
diff --git a/results/dev/hyperbola/problem_0938.png b/results/dev/hyperbola/problem_0938.png
new file mode 100644
index 0000000000000000000000000000000000000000..47d95cac446f2aa0a22080deef3a36df5b1c3d4b
--- /dev/null
+++ b/results/dev/hyperbola/problem_0938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95c298011d4a21cb3e67eb294bb7fa309ce3230846032c4bc2a48c5997c07159
+size 270272
diff --git a/results/dev/hyperbola/problem_0940.png b/results/dev/hyperbola/problem_0940.png
new file mode 100644
index 0000000000000000000000000000000000000000..f04201aefc32c0bb6cb1ee4f351a9d5ef9b509a6
--- /dev/null
+++ b/results/dev/hyperbola/problem_0940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8491b9e7eb854eef31e3e1d9b55ec359b960b81b917749b29a8556dd63712a3
+size 280977
diff --git a/results/dev/hyperbola/problem_0943.png b/results/dev/hyperbola/problem_0943.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d1904c0d9b295105f3b68d38310007b30a29a95
--- /dev/null
+++ b/results/dev/hyperbola/problem_0943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f99ba7bb2c391d33ccb0ddddccf9ca7f9ccc16dae9af4495e8f89cd8da78197b
+size 268245
diff --git a/results/dev/hyperbola/problem_0944.png b/results/dev/hyperbola/problem_0944.png
new file mode 100644
index 0000000000000000000000000000000000000000..18c275ad78bb2aa12e05db2bc1c63ee793e25273
--- /dev/null
+++ b/results/dev/hyperbola/problem_0944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9007c39a8b009eb7a408dc57baaaa9469886b8eedcf47ac4e4da752655032e16
+size 247608
diff --git a/results/dev/hyperbola/problem_0947.png b/results/dev/hyperbola/problem_0947.png
new file mode 100644
index 0000000000000000000000000000000000000000..078848b7a48d89774e63f035596f77ed53fca334
--- /dev/null
+++ b/results/dev/hyperbola/problem_0947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00f483f23ae2e5ae66a9bd18a5f1a931298b3430e2fdea4c05218ce84cf5bf52
+size 235220
diff --git a/results/dev/hyperbola/problem_0950.png b/results/dev/hyperbola/problem_0950.png
new file mode 100644
index 0000000000000000000000000000000000000000..0af2f35bab6a1016ff4fa141fb4176b0f2a24339
--- /dev/null
+++ b/results/dev/hyperbola/problem_0950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:200d974a5c0edec5a7f8073cf771510a99a2196950768847cbc7055947812dbc
+size 285782
diff --git a/results/dev/hyperbola/problem_0951.png b/results/dev/hyperbola/problem_0951.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec7131328306ba30fe586d8872e1708f1186e266
--- /dev/null
+++ b/results/dev/hyperbola/problem_0951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c45b0eae73ade7c9ec57c619fbe65a39ecc6d685d230ad11906cc2f11c9f08b
+size 273765
diff --git a/results/dev/hyperbola/problem_0956.png b/results/dev/hyperbola/problem_0956.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c9d1e54f532c6a71d009c1846f192c52c8cddb9
--- /dev/null
+++ b/results/dev/hyperbola/problem_0956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c62428462e5acd6b088fe345e960b2496ac47b0408f5d8c510c099e7094c409d
+size 273710
diff --git a/results/dev/hyperbola/problem_0959.png b/results/dev/hyperbola/problem_0959.png
new file mode 100644
index 0000000000000000000000000000000000000000..333f17f352d6e5fb626f3d37c2ea743c4ca15faf
--- /dev/null
+++ b/results/dev/hyperbola/problem_0959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d51db67d528ca844cf1dc09c2fe15e2c06ba01c374d06cb5bbc7df1b5a1ef8b
+size 264053
diff --git a/results/dev/hyperbola/problem_0960.png b/results/dev/hyperbola/problem_0960.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2e0e16920694949112909b29b28b15a4c4a5214
--- /dev/null
+++ b/results/dev/hyperbola/problem_0960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f040aa21058c81b4a71148f99e1dc69dcffee44c2c5c837838ffd6ca6e0d370
+size 310475
diff --git a/results/dev/hyperbola/problem_0961.png b/results/dev/hyperbola/problem_0961.png
new file mode 100644
index 0000000000000000000000000000000000000000..90902b19528aaba81de81ffe02feac95976bf71d
--- /dev/null
+++ b/results/dev/hyperbola/problem_0961.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c07a4b73032ce19552967c169e3e28b7e8a6feace4a14f069b30897c8a9f912
+size 263635
diff --git a/results/dev/hyperbola/problem_0962.png b/results/dev/hyperbola/problem_0962.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a8929978fc4f6c772e222bb474c61b98411bc27
--- /dev/null
+++ b/results/dev/hyperbola/problem_0962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc5d3773e376bac8895277c3fcf7285ff14bdfbb7e35e266628584ef2e25e84d
+size 281634
diff --git a/results/dev/hyperbola/problem_0965.png b/results/dev/hyperbola/problem_0965.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a9f198e71a85c4a08f26edf1eebc7f7b6245666
--- /dev/null
+++ b/results/dev/hyperbola/problem_0965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:059d8df847aa72e51f3d26f6403c6b66105bd995b7be0db7c8faf57bde186da4
+size 267504
diff --git a/results/dev/hyperbola/problem_0967.png b/results/dev/hyperbola/problem_0967.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f0c1b6b51f811ffb0bec76b2801116fdd001a15
--- /dev/null
+++ b/results/dev/hyperbola/problem_0967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51dd6405104c65f6013addeafd8978a381427bed47bc03d089eacc941ecd0ef6
+size 259261
diff --git a/results/dev/hyperbola/problem_0971.png b/results/dev/hyperbola/problem_0971.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba6f492370226bc1ce65cc42fd02a257b0bdd515
--- /dev/null
+++ b/results/dev/hyperbola/problem_0971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a87f5ebc5079a1aa83b89a0cd2f6a7cfa2a3634bc35d357fefe21e036a5468e7
+size 263043
diff --git a/results/dev/hyperbola/problem_0973.png b/results/dev/hyperbola/problem_0973.png
new file mode 100644
index 0000000000000000000000000000000000000000..46a2d3c958a2b561234f5ac1f10936fc547ce2d6
--- /dev/null
+++ b/results/dev/hyperbola/problem_0973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a675c94f8d8fb81bfa7bc1fcb186019719926927c2ad5fd90a50969237f26f11
+size 259674
diff --git a/results/dev/hyperbola/problem_0977.png b/results/dev/hyperbola/problem_0977.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c3b80b0fa67032c88c7db1355e05eb83d7ed94a
--- /dev/null
+++ b/results/dev/hyperbola/problem_0977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca655402371e78c8ccc03d0c5e26d8f4efa5517d95a480024e5cdb22f7052d48
+size 245310
diff --git a/results/dev/hyperbola/problem_0978.png b/results/dev/hyperbola/problem_0978.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcbc682a542e92dfb9de0dc8a64e7142bcba8fdf
--- /dev/null
+++ b/results/dev/hyperbola/problem_0978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:361897eec90c00fb48465f06617bef80f65b9054fe491a8eb3f598cee84dfb0f
+size 263113
diff --git a/results/dev/hyperbola/problem_0980.png b/results/dev/hyperbola/problem_0980.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b40423d6f8584524c5f96c23bf404b0a34ed3af
--- /dev/null
+++ b/results/dev/hyperbola/problem_0980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:412ea27a1d4fc8ee2d557ce1c7533625eb348620ef17cd4164adda3709b4d51a
+size 246306
diff --git a/results/dev/hyperbola/problem_0981.png b/results/dev/hyperbola/problem_0981.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9f5ec4d594bf810f4a4a0a52736addcab351c65
--- /dev/null
+++ b/results/dev/hyperbola/problem_0981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e9d02e1cc603d7ee4fcf6ba7bb9e0edd03f26d4451f5f2b55a1a54792db2f9a
+size 244837
diff --git a/results/dev/hyperbola/problem_0985.png b/results/dev/hyperbola/problem_0985.png
new file mode 100644
index 0000000000000000000000000000000000000000..332ad538978d805fc8c34765ebbb32013a0b9bac
--- /dev/null
+++ b/results/dev/hyperbola/problem_0985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79968fbf6467105d8b7a5b814c35ddd49e48699ee52e0d6a7ab27bf1abe626c1
+size 268195
diff --git a/results/dev/hyperbola/problem_0987.png b/results/dev/hyperbola/problem_0987.png
new file mode 100644
index 0000000000000000000000000000000000000000..558db9c0117fb66413c8c74a3d82d2141b2152de
--- /dev/null
+++ b/results/dev/hyperbola/problem_0987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cceb02eb8e91f4d9132d1ab4aa4492495c4036c6eb5333786d9bb971360cea32
+size 263979
diff --git a/results/dev/hyperbola/problem_0993.png b/results/dev/hyperbola/problem_0993.png
new file mode 100644
index 0000000000000000000000000000000000000000..3649b71b42e64ae4eb856aeb65c8f07f6e5d1559
--- /dev/null
+++ b/results/dev/hyperbola/problem_0993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf420115c3f35853574e6a4803edddf26901c0e1ffbf07e1ca8db67b9163abf8
+size 256690
diff --git a/results/dev/hyperbola/problem_0998.png b/results/dev/hyperbola/problem_0998.png
new file mode 100644
index 0000000000000000000000000000000000000000..3256ef69891ed7c59ad6a82636bc65534d9fdf11
--- /dev/null
+++ b/results/dev/hyperbola/problem_0998.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:abd4e4a6971e2238d9216cc36b584251b8cf1ca8620b2f4d9866603732d31fa2
+size 283363
diff --git a/results/dev/hyperbola/problem_0999.png b/results/dev/hyperbola/problem_0999.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dbb8bc0b26100f9717b9fe6e161048dadfa2627
--- /dev/null
+++ b/results/dev/hyperbola/problem_0999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7da1fc98cabe911cc8ec53458388d472f58fa6061d110fa8854cc4b89f937854
+size 267083
diff --git a/results/dev/hyperbola/problem_1003.png b/results/dev/hyperbola/problem_1003.png
new file mode 100644
index 0000000000000000000000000000000000000000..d272b5e022799ae16db0d08bc2564a4b060288f2
--- /dev/null
+++ b/results/dev/hyperbola/problem_1003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d9c00700eab3307ad483631ea83fcdf4116c6bdf347d87650f2a9d7cdfefa3e
+size 271190
diff --git a/results/dev/hyperbola/problem_1007.png b/results/dev/hyperbola/problem_1007.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ad388b57a7e68b8ef7fa480a040d7328b539c5c
--- /dev/null
+++ b/results/dev/hyperbola/problem_1007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2876db093669986e1b77dc8acfa78be369cda3e1d15a46b00f0f9dffba217583
+size 232692
diff --git a/results/dev/hyperbola/problem_1010.png b/results/dev/hyperbola/problem_1010.png
new file mode 100644
index 0000000000000000000000000000000000000000..88c9a266583c002812fd436252d4dd9997aa8aaa
--- /dev/null
+++ b/results/dev/hyperbola/problem_1010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9902faa1f39701244a7c1d05d74ed9f68c9cba4099e64a22a28f3f005dd4a36c
+size 312971
diff --git a/results/dev/hyperbola/problem_1012.png b/results/dev/hyperbola/problem_1012.png
new file mode 100644
index 0000000000000000000000000000000000000000..04770eb9530bbed4f4016240b8f09b5f1b385f27
--- /dev/null
+++ b/results/dev/hyperbola/problem_1012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d0ccba11ef6cb62ce4dcfc6b896e8c8e024321cabaf18ed4cf6df94e6cbb334
+size 268658
diff --git a/results/dev/hyperbola/problem_1013.png b/results/dev/hyperbola/problem_1013.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7b595d9fbfe15831dc47111dc5732e6d6faeac4
--- /dev/null
+++ b/results/dev/hyperbola/problem_1013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f02c944bc730189235feca3dc5b9df89554380e68f672372d0994953601bdbc
+size 270382
diff --git a/results/dev/hyperbola/problem_1016.png b/results/dev/hyperbola/problem_1016.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3123e3c4ac6caa8b540be1dc8eb42d9ea97501a
--- /dev/null
+++ b/results/dev/hyperbola/problem_1016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80cf22bab0076b482dbca6c5798e357a3098ac60722511427cc4a600422680a0
+size 275560
diff --git a/results/dev/hyperbola/problem_1017.png b/results/dev/hyperbola/problem_1017.png
new file mode 100644
index 0000000000000000000000000000000000000000..805ff2f33363046b0f34986bc4e186b2957b8aa8
--- /dev/null
+++ b/results/dev/hyperbola/problem_1017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7e5dc07bed1a7fa678ad8c6be1b50f37d9da360b7192d3230972c4b69a0af91
+size 226979
diff --git a/results/dev/hyperbola/problem_1019.png b/results/dev/hyperbola/problem_1019.png
new file mode 100644
index 0000000000000000000000000000000000000000..16f22c97fc2aab775121a08a701c4f7a60f17fd2
--- /dev/null
+++ b/results/dev/hyperbola/problem_1019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b840358364c43f74f31739c3f166e9f2cbcab5ded5241411d8e15fb5a5ede8e
+size 263699
diff --git a/results/dev/hyperbola/problem_1033.png b/results/dev/hyperbola/problem_1033.png
new file mode 100644
index 0000000000000000000000000000000000000000..96772709f3365bd1666c1841ee13251e4b225477
--- /dev/null
+++ b/results/dev/hyperbola/problem_1033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:830d1ecae179220aa744bee70df6752d835c6441f3fcfa69daf1d1148fe8c902
+size 252408
diff --git a/results/dev/parabola/problem_0002.png b/results/dev/parabola/problem_0002.png
new file mode 100644
index 0000000000000000000000000000000000000000..62eb3b673a859c450b47e74cbf42b5ac7df4ac76
--- /dev/null
+++ b/results/dev/parabola/problem_0002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56ecd7af9fffff3805d87fa5607050194710b66356ac0fe7764c0f2bce23f16c
+size 179200
diff --git a/results/dev/parabola/problem_0009.png b/results/dev/parabola/problem_0009.png
new file mode 100644
index 0000000000000000000000000000000000000000..75f28297fb41d563bb54b5da5075b7568896045f
--- /dev/null
+++ b/results/dev/parabola/problem_0009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc057458c201e5c23ef32b3f37ef9ba51bad23d93a967df8573c5e7566f6a62d
+size 192675
diff --git a/results/dev/parabola/problem_0012.png b/results/dev/parabola/problem_0012.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ee282c3497e7b366cc29ff0baf95075f1b52702
--- /dev/null
+++ b/results/dev/parabola/problem_0012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a6a72f5caf5cb0d0423db986e89274b8b28101f68f81f8147542ddfc5ae8a00
+size 200176
diff --git a/results/dev/parabola/problem_0013.png b/results/dev/parabola/problem_0013.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9311e6434ba27be4f1229c7d0d915e17435cc71
--- /dev/null
+++ b/results/dev/parabola/problem_0013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f7332ed427843ad38bb82dd17cb8777494362d597484fdcfbc2f818b076c996
+size 199055
diff --git a/results/dev/parabola/problem_0016.png b/results/dev/parabola/problem_0016.png
new file mode 100644
index 0000000000000000000000000000000000000000..53559a53560de70be3555144bbc5b108a8f3b34c
--- /dev/null
+++ b/results/dev/parabola/problem_0016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ab24288d4dd0cca6142195577fee234142c4bb97969db2012fbbd9430c7cfc9
+size 208363
diff --git a/results/dev/parabola/problem_0020.png b/results/dev/parabola/problem_0020.png
new file mode 100644
index 0000000000000000000000000000000000000000..1dc5ebb0f465557749433919ef6723387d69bb36
--- /dev/null
+++ b/results/dev/parabola/problem_0020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cb2197787b6b6def7a05e9bc9fdeba48d44c6700d541aba3a64ff4a17cbc262
+size 182047
diff --git a/results/dev/parabola/problem_0023.png b/results/dev/parabola/problem_0023.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8d070b3d4426742fcf3b5bbcb4c3588553a7991
--- /dev/null
+++ b/results/dev/parabola/problem_0023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acdd7c673f68d492fd4b96431d11341866c40f1095d2523805566b30bc34310f
+size 188929
diff --git a/results/dev/parabola/problem_0024.png b/results/dev/parabola/problem_0024.png
new file mode 100644
index 0000000000000000000000000000000000000000..164d762a9e995f2c8a798b408fc0a4e054ef18e9
--- /dev/null
+++ b/results/dev/parabola/problem_0024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa4fc21abeefa6a179622532221000c0bd15975d6b83a96c2db733f21905fec4
+size 187621
diff --git a/results/dev/parabola/problem_0025.png b/results/dev/parabola/problem_0025.png
new file mode 100644
index 0000000000000000000000000000000000000000..c507efd01cd60b7d4bdc57003d6e90679171ae05
--- /dev/null
+++ b/results/dev/parabola/problem_0025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a02c703ce5599a6bd9deebdfa49da7ce0eac84354cdd17ec648e5853c830d058
+size 200216
diff --git a/results/dev/parabola/problem_0027.png b/results/dev/parabola/problem_0027.png
new file mode 100644
index 0000000000000000000000000000000000000000..e19acdf17aec73257533268a9233ab3e982bb9b6
--- /dev/null
+++ b/results/dev/parabola/problem_0027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d4a227deb58cae5d75f3e7a93cf1c315224e7822f753ccf5acd268f960a7381
+size 194264
diff --git a/results/dev/parabola/problem_0030.png b/results/dev/parabola/problem_0030.png
new file mode 100644
index 0000000000000000000000000000000000000000..c14f31c25d034111c98686e68dd4b870656a9221
--- /dev/null
+++ b/results/dev/parabola/problem_0030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bcfbf1db0390d64c2ed9e3f2e7f56574f264a6e8e534112f053ffd3f045a18b
+size 188576
diff --git a/results/dev/parabola/problem_0035.png b/results/dev/parabola/problem_0035.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e2698b2f7e41284a652c52ab02001767e5c99b0
--- /dev/null
+++ b/results/dev/parabola/problem_0035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:551e44e121449901ef1639b340544a1702a5f9427c7b2371f10311cd71856464
+size 190851
diff --git a/results/dev/parabola/problem_0039.png b/results/dev/parabola/problem_0039.png
new file mode 100644
index 0000000000000000000000000000000000000000..40c36e3804cd9f6e719f934bbd7f5189e2d6e6fe
--- /dev/null
+++ b/results/dev/parabola/problem_0039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c963ae3db19e0dfa293e01f0def3bb3169479944812821b4c7b354c72d2cb20
+size 200385
diff --git a/results/dev/parabola/problem_0050.png b/results/dev/parabola/problem_0050.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8b6102ee61322748f68f9f7380019b4376edb22
--- /dev/null
+++ b/results/dev/parabola/problem_0050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49421378170e9641010a7bd11e298f132ca98e4aefd2f9a5e86c026f6110c772
+size 192732
diff --git a/results/dev/parabola/problem_0058.png b/results/dev/parabola/problem_0058.png
new file mode 100644
index 0000000000000000000000000000000000000000..082621b0f3a7b6895edbbccf0ceb1fe51860af72
--- /dev/null
+++ b/results/dev/parabola/problem_0058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d162c9a5ca0160669e2b3cc8fd44e15c1a92723d143933d94f12eb0f19b4057
+size 182309
diff --git a/results/dev/parabola/problem_0068.png b/results/dev/parabola/problem_0068.png
new file mode 100644
index 0000000000000000000000000000000000000000..956cff8e10d1af17f926fbb13ecb19a7168c5bbb
--- /dev/null
+++ b/results/dev/parabola/problem_0068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:041eb3992ce9c856b43fbfff872d03c06a5512ab8d38d7c4c09df7e257f70921
+size 214952
diff --git a/results/dev/parabola/problem_0074.png b/results/dev/parabola/problem_0074.png
new file mode 100644
index 0000000000000000000000000000000000000000..09c7e269d1a97f3eba56da6b04d0027abc68348d
--- /dev/null
+++ b/results/dev/parabola/problem_0074.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c719078f7f68a6d690ff22eb6451b5ba2769a04123bc8a3b20215deb290209a
+size 182837
diff --git a/results/dev/parabola/problem_0075.png b/results/dev/parabola/problem_0075.png
new file mode 100644
index 0000000000000000000000000000000000000000..53d6bc1c006c6a0003d7a23174f30e24a40f2aa0
--- /dev/null
+++ b/results/dev/parabola/problem_0075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa0e5004ae38e5666190fde21a475a2f11a97e57e503ee84f7a935be41b4d514
+size 191677
diff --git a/results/dev/parabola/problem_0079.png b/results/dev/parabola/problem_0079.png
new file mode 100644
index 0000000000000000000000000000000000000000..9cb9f3f8675c582cf6c908040aa79de374970950
--- /dev/null
+++ b/results/dev/parabola/problem_0079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d1aca8197292fed9d1b18c842ca2ddc2deeba87cb438812933bcfbafcad393
+size 191862
diff --git a/results/dev/parabola/problem_0087.png b/results/dev/parabola/problem_0087.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f47030b1ec03e94c7322ec4863f826cb28114ef
--- /dev/null
+++ b/results/dev/parabola/problem_0087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3658ca61284b7b884ac7013ae6dcab099d5ac148c1ab2485eea39fa43a6ec4c
+size 192451
diff --git a/results/dev/parabola/problem_0088.png b/results/dev/parabola/problem_0088.png
new file mode 100644
index 0000000000000000000000000000000000000000..31313726bfef82657a8d3e96f0d0eca10d063cb8
--- /dev/null
+++ b/results/dev/parabola/problem_0088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:396052fcb75e33d3de4ae8961f186f91ccbd7b95405fffa79899d777a1cec0bc
+size 198523
diff --git a/results/dev/parabola/problem_0089.png b/results/dev/parabola/problem_0089.png
new file mode 100644
index 0000000000000000000000000000000000000000..b72d9d4bc18b693b8ca0027745ffb8004638a470
--- /dev/null
+++ b/results/dev/parabola/problem_0089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ab9f964db18bc4cf3ac3cf152c8f4202ccc763f7f1a83db64d62c228cb41c43
+size 170311
diff --git a/results/dev/parabola/problem_0094.png b/results/dev/parabola/problem_0094.png
new file mode 100644
index 0000000000000000000000000000000000000000..fce817073853037468bae02359d96ea13ed2fd8d
--- /dev/null
+++ b/results/dev/parabola/problem_0094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:20408a4228c0a9f610ca81dc1781d0a926acc6c0ad3ec6a98659f206c5a70daa
+size 189844
diff --git a/results/dev/parabola/problem_0096.png b/results/dev/parabola/problem_0096.png
new file mode 100644
index 0000000000000000000000000000000000000000..b53df95efe003d39fda6b727e640a6c82134860d
--- /dev/null
+++ b/results/dev/parabola/problem_0096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15d9a20e938ed9ffa52a6896c1ab0de30226f77db3925522e92d575b6478686b
+size 194647
diff --git a/results/dev/parabola/problem_0099.png b/results/dev/parabola/problem_0099.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d90ffcc2a9196c1dee522bb499984d3be046b49
--- /dev/null
+++ b/results/dev/parabola/problem_0099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12ddca8fb3ad1256404d26ae4520a351a131a84c2fb3eb501d0940a70ea49fec
+size 189319
diff --git a/results/dev/parabola/problem_0102.png b/results/dev/parabola/problem_0102.png
new file mode 100644
index 0000000000000000000000000000000000000000..da074c1d5d4e8d7df5e382a332bf27a8c6ff658e
--- /dev/null
+++ b/results/dev/parabola/problem_0102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:400423fec2de521a784e712f9fc6da7da665070e2b60bf86fd3f5fe8b1537137
+size 190729
diff --git a/results/dev/parabola/problem_0105.png b/results/dev/parabola/problem_0105.png
new file mode 100644
index 0000000000000000000000000000000000000000..4aa643a5c5810a46ef7e75e6fdc1a75af4192db8
--- /dev/null
+++ b/results/dev/parabola/problem_0105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f07b4c25f8f3e432bd2390c06b6420d7b575d9374d64f7bd2896ec863d807e6
+size 195375
diff --git a/results/dev/parabola/problem_0111.png b/results/dev/parabola/problem_0111.png
new file mode 100644
index 0000000000000000000000000000000000000000..c458ab99d8ca6ed39e37105bd748345e7a9956c5
--- /dev/null
+++ b/results/dev/parabola/problem_0111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04d5bab6c6fccb218916629c8b84aaa484852529bbddfcece5369b944ede9fba
+size 197508
diff --git a/results/dev/parabola/problem_0114.png b/results/dev/parabola/problem_0114.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2369d3de8278f1ad6adcc5f2ed9c9d65b3b1b7e
--- /dev/null
+++ b/results/dev/parabola/problem_0114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:705fec62e44b204ed666d28e342986accfbf3fc2e6d538b784765dd24adce604
+size 198477
diff --git a/results/dev/parabola/problem_0115.png b/results/dev/parabola/problem_0115.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb30ee01a0df0afe1ea81e8cdf0e02198fd7889e
--- /dev/null
+++ b/results/dev/parabola/problem_0115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52da1f08fe075756aa0dbf2c78c5c8aafbb6bb510b658c6d8de6e925dd107ab2
+size 189675
diff --git a/results/dev/parabola/problem_0117.png b/results/dev/parabola/problem_0117.png
new file mode 100644
index 0000000000000000000000000000000000000000..be62fe0465acaa627c372c061fa48d886b29a246
--- /dev/null
+++ b/results/dev/parabola/problem_0117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:841bf7e05c1ae0ca512bb508fcfc0edc6cce8ad0e1bf5a04ca429c2a0aae1cf3
+size 186586
diff --git a/results/dev/parabola/problem_0119.png b/results/dev/parabola/problem_0119.png
new file mode 100644
index 0000000000000000000000000000000000000000..49d9ae19770fdf704f2736cee5bb9c228e81cbb5
--- /dev/null
+++ b/results/dev/parabola/problem_0119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:355054d56f2f5182ff6c1135d036ab978231ed57ee5fc3b7526dae71b51939c7
+size 198030
diff --git a/results/dev/parabola/problem_0124.png b/results/dev/parabola/problem_0124.png
new file mode 100644
index 0000000000000000000000000000000000000000..59a5aa44337165540c3109aae23d6213d4f92d2f
--- /dev/null
+++ b/results/dev/parabola/problem_0124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af0bf34830f0ae03104b28e8f2e69cac864d38e1f7c40d782f876c41a8e29fdd
+size 184334
diff --git a/results/dev/parabola/problem_0126.png b/results/dev/parabola/problem_0126.png
new file mode 100644
index 0000000000000000000000000000000000000000..706758b08cfad1b5db4a745a747494e10e308b55
--- /dev/null
+++ b/results/dev/parabola/problem_0126.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:419463bfa7bb039a9fcfe2edd752aae0b4422b80dda8a7450e7357b7189b700f
+size 190090
diff --git a/results/dev/parabola/problem_0127.png b/results/dev/parabola/problem_0127.png
new file mode 100644
index 0000000000000000000000000000000000000000..61f441a7b77fbad6de29d97cc752fedc3175ce36
--- /dev/null
+++ b/results/dev/parabola/problem_0127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da2e10a0a80340857ad62722ecd901857aa8de85ce321e667d748c8daa34e2b4
+size 189059
diff --git a/results/dev/parabola/problem_0136.png b/results/dev/parabola/problem_0136.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0789158b8de83c276830e5fada56274b7bf1b54
--- /dev/null
+++ b/results/dev/parabola/problem_0136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8e69484dd9791787e990dc2aff75206108d9fc0a86f0f5d8b419c61fff4b20b
+size 187991
diff --git a/results/dev/parabola/problem_0139.png b/results/dev/parabola/problem_0139.png
new file mode 100644
index 0000000000000000000000000000000000000000..74c1a17e2723e4cda5ca358333a835380c5fd1f6
--- /dev/null
+++ b/results/dev/parabola/problem_0139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b95b25451f0dda784643a8f8ba05928aa26490ddcd21e291d6f9b71414faa6bb
+size 195404
diff --git a/results/dev/parabola/problem_0142.png b/results/dev/parabola/problem_0142.png
new file mode 100644
index 0000000000000000000000000000000000000000..07b959cf608f51458df9261efb613be835c56c9f
--- /dev/null
+++ b/results/dev/parabola/problem_0142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab6266198b00ff5f7dd02f75b3c961cab79228355ebf5bd2ccea6620be0b3153
+size 207381
diff --git a/results/dev/parabola/problem_0143.png b/results/dev/parabola/problem_0143.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3c00f6a46a7d41fa96007105d4dcc55c58189eb
--- /dev/null
+++ b/results/dev/parabola/problem_0143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f240c8c6a3c44d7f59d7c747c1bfeeea71cb391fdd9898dca9c5f571cd611d9f
+size 192279
diff --git a/results/dev/parabola/problem_0144.png b/results/dev/parabola/problem_0144.png
new file mode 100644
index 0000000000000000000000000000000000000000..c32e78f4c85d16fb12118059d65e40390f3125de
--- /dev/null
+++ b/results/dev/parabola/problem_0144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba59f490f3d6888fc692fb740736152d7b442174eccfa6f88c5732e6fd6fe4ad
+size 181731
diff --git a/results/dev/parabola/problem_0145.png b/results/dev/parabola/problem_0145.png
new file mode 100644
index 0000000000000000000000000000000000000000..3eac17a9507e85bb6a40c4619949b00b2e183c68
--- /dev/null
+++ b/results/dev/parabola/problem_0145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ce59c7d26c42bf0385da3545ad41a1e03c5aaa03bc986fc5c55ae1b1d78cd6a
+size 189430
diff --git a/results/dev/parabola/problem_0147.png b/results/dev/parabola/problem_0147.png
new file mode 100644
index 0000000000000000000000000000000000000000..0052b47e0712ae8656c0dbe23cb884294e44613a
--- /dev/null
+++ b/results/dev/parabola/problem_0147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cac3c1b823d29c27ac663ca1fd363ed6cbfc5e8ae7cd35c7589571408a22b53a
+size 207719
diff --git a/results/dev/parabola/problem_0150.png b/results/dev/parabola/problem_0150.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9038197ac76d2c676797a20adc9aab8a83ac65b
--- /dev/null
+++ b/results/dev/parabola/problem_0150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f42bda0fb4888890ec0517c4d01bc671719e13023d2c97a2c86b179509c35b57
+size 202938
diff --git a/results/dev/parabola/problem_0151.png b/results/dev/parabola/problem_0151.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c5851c2daaec7dabbb04442e6c205f256dc6c57
--- /dev/null
+++ b/results/dev/parabola/problem_0151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ad57f7003f4dc6a261a3160a06ecd919347b54486b0ca25cfb5609dbf31eb4b
+size 199418
diff --git a/results/dev/parabola/problem_0152.png b/results/dev/parabola/problem_0152.png
new file mode 100644
index 0000000000000000000000000000000000000000..2abab6643cd0a7c40ce872e78a233c08275d19eb
--- /dev/null
+++ b/results/dev/parabola/problem_0152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68bd35b9c2ac33d289828321d1a8c5a0e3b007b9bdf07fecc7c90014cd209b21
+size 179898
diff --git a/results/dev/parabola/problem_0156.png b/results/dev/parabola/problem_0156.png
new file mode 100644
index 0000000000000000000000000000000000000000..2098cae9dca0cfb5a95895fc94b179c77bcf9390
--- /dev/null
+++ b/results/dev/parabola/problem_0156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:092fa47d6aad0729ee9a1666e0eb829108d92f070f9f7296654decc1a642dbbc
+size 197240
diff --git a/results/dev/parabola/problem_0169.png b/results/dev/parabola/problem_0169.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c6965a019d829a69c60fb52e80e3530d20cc5f4
--- /dev/null
+++ b/results/dev/parabola/problem_0169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f7b528f592f10532efcbf37de58f00f6b11801c51414ec95e9a3312212acd0d
+size 186602
diff --git a/results/dev/parabola/problem_0172.png b/results/dev/parabola/problem_0172.png
new file mode 100644
index 0000000000000000000000000000000000000000..298e216652e503283b874676921933b98ecd45e8
--- /dev/null
+++ b/results/dev/parabola/problem_0172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a5a8a4952ca343381cd1b7fe636605c1e1b3ef699e354f4c2f81b3b6d8c99e0
+size 190096
diff --git a/results/dev/parabola/problem_0175.png b/results/dev/parabola/problem_0175.png
new file mode 100644
index 0000000000000000000000000000000000000000..a32b52e57b0fbba3fd42fed1610e9f8e891a7e0c
--- /dev/null
+++ b/results/dev/parabola/problem_0175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea8ab3aa8ceebc3c4583c8203fee55888ff35a53567834932d9badd890f4d28f
+size 184623
diff --git a/results/dev/parabola/problem_0179.png b/results/dev/parabola/problem_0179.png
new file mode 100644
index 0000000000000000000000000000000000000000..54fa2b8ce2f65f429271e79a285dad6604d94bdb
--- /dev/null
+++ b/results/dev/parabola/problem_0179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25f1c20e306db6203f8886e57438d78d9bfe8dd8fe09e8d101ed6caa80bb7be3
+size 194163
diff --git a/results/dev/parabola/problem_0181.png b/results/dev/parabola/problem_0181.png
new file mode 100644
index 0000000000000000000000000000000000000000..30198610876d96f75b32362cb0295dd00bafd44e
--- /dev/null
+++ b/results/dev/parabola/problem_0181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba80b5277d181258a3e63b7542705acd129d7249548525867b7f1b30b05038e8
+size 189669
diff --git a/results/dev/parabola/problem_0185.png b/results/dev/parabola/problem_0185.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e3373495cec249af2aab67531c0b8181f0e5e44
--- /dev/null
+++ b/results/dev/parabola/problem_0185.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d7773a3da51a699d9cb03b7dfc290c267f2f8ec00f45b0eeaa30852628d2cd1
+size 192697
diff --git a/results/dev/parabola/problem_0186.png b/results/dev/parabola/problem_0186.png
new file mode 100644
index 0000000000000000000000000000000000000000..64fd352b31f1c75e07054d63e64e13916c121229
--- /dev/null
+++ b/results/dev/parabola/problem_0186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:417f3d077de653d14a6241d82e6770cdb74263e5f069b30692c19910536508e2
+size 181909
diff --git a/results/dev/parabola/problem_0188.png b/results/dev/parabola/problem_0188.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b1d262326071c4ded7801fc80b15179bdfef232
--- /dev/null
+++ b/results/dev/parabola/problem_0188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bed96a11c4018a5e75eb2753708b669b8efa260ca70883548b198246c9bb7d6
+size 203094
diff --git a/results/dev/parabola/problem_0191.png b/results/dev/parabola/problem_0191.png
new file mode 100644
index 0000000000000000000000000000000000000000..84f6251fc15cbb305959400fb6ac21cd5a7c7a61
--- /dev/null
+++ b/results/dev/parabola/problem_0191.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbaa18ba9f15936250383838048fe3c3f4efc3c5f6edd926bc8de7c8f46b4551
+size 186745
diff --git a/results/dev/parabola/problem_0194.png b/results/dev/parabola/problem_0194.png
new file mode 100644
index 0000000000000000000000000000000000000000..04de95f4198f5251c57df4762769ced4d264fb85
--- /dev/null
+++ b/results/dev/parabola/problem_0194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:069781ea26179c4cdffd9bfa6ba51fc7b1ae7f371918087ca33662ee2d7f6000
+size 203411
diff --git a/results/dev/parabola/problem_0200.png b/results/dev/parabola/problem_0200.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd277c83a2daa1d45fb83efab184f099fe937dbd
--- /dev/null
+++ b/results/dev/parabola/problem_0200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:544c7e050f95de54628902432cdbd5b106b5e3f27a166c47cff0366b5f8c2745
+size 194871
diff --git a/results/dev/parabola/problem_0206.png b/results/dev/parabola/problem_0206.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d8283589fb1a885296551433b44593ccad00e76
--- /dev/null
+++ b/results/dev/parabola/problem_0206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f52d596f8ff1891f4196ae32c916019cb7950b359d80903944de3837d3d2e2f9
+size 187913
diff --git a/results/dev/parabola/problem_0217.png b/results/dev/parabola/problem_0217.png
new file mode 100644
index 0000000000000000000000000000000000000000..e78a2fac40790a288d89bd7219321aa082776390
--- /dev/null
+++ b/results/dev/parabola/problem_0217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f8de16bf51f2ef268e630ef516d743d53baea616d9183be00ecf04a8ddd048d
+size 189051
diff --git a/results/dev/parabola/problem_0221.png b/results/dev/parabola/problem_0221.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6963f7534df6a14dbb062d15549b307ea3a2abc
--- /dev/null
+++ b/results/dev/parabola/problem_0221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fc350f44e1bd74f198cff1b6358a1200604b3364a220e9c78bb9a6c9befb7b7
+size 191332
diff --git a/results/dev/parabola/problem_0223.png b/results/dev/parabola/problem_0223.png
new file mode 100644
index 0000000000000000000000000000000000000000..784772c5441c252a2daed03196f89547a7a0c4d7
--- /dev/null
+++ b/results/dev/parabola/problem_0223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f778f556a489d54fe23324304a9fa6b333bc023e0399fa653e87fcc73b69105
+size 178717
diff --git a/results/dev/parabola/problem_0231.png b/results/dev/parabola/problem_0231.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c21e56de94ce6bbbcd305cec318fdb844f5d707
--- /dev/null
+++ b/results/dev/parabola/problem_0231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:612ac72a9e0848af291e42bfebb281bb0306c8952259304f74474d151ea5b96d
+size 186927
diff --git a/results/dev/parabola/problem_0245.png b/results/dev/parabola/problem_0245.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e10dbb93ea159abc291ad7608db12ce9ff92734
--- /dev/null
+++ b/results/dev/parabola/problem_0245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c89096b53b260de542e51648fb1eb3fae26c459f0515aaea406c1b2153dd5ba8
+size 192485
diff --git a/results/dev/parabola/problem_0250.png b/results/dev/parabola/problem_0250.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffc6d27a9f50bb67c102ed0b0061b00f81f5f676
--- /dev/null
+++ b/results/dev/parabola/problem_0250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26652f178c818a412e31698978088bc6a071aff0bbf8cc6e57d66d71f7a8fd1d
+size 181765
diff --git a/results/dev/parabola/problem_0251.png b/results/dev/parabola/problem_0251.png
new file mode 100644
index 0000000000000000000000000000000000000000..914337112e1c1359b3a433e11c40111aa98564fa
--- /dev/null
+++ b/results/dev/parabola/problem_0251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:244ed4827add710add6497c63c4c3649d94bdb8fd5218d7376f5a983b9ec1031
+size 195448
diff --git a/results/dev/parabola/problem_0252.png b/results/dev/parabola/problem_0252.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb97a8643fb46fcee889a8286e39cba43f84c880
--- /dev/null
+++ b/results/dev/parabola/problem_0252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f7731be4b46a1e36c0c92d00621eb8fee686fc1461862f5eba2acd2b4a8de69
+size 188416
diff --git a/results/dev/parabola/problem_0253.png b/results/dev/parabola/problem_0253.png
new file mode 100644
index 0000000000000000000000000000000000000000..445bf65075924a186ecc139a77f6a4c15fcb685f
--- /dev/null
+++ b/results/dev/parabola/problem_0253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:474a914327ec9cad74da37cf2d0298b81aa4df57be08248c8b461fa2ccfcf7b4
+size 189791
diff --git a/results/dev/parabola/problem_0254.png b/results/dev/parabola/problem_0254.png
new file mode 100644
index 0000000000000000000000000000000000000000..abe91b4d7c10be35c9cdfdeeec339beaced3b632
--- /dev/null
+++ b/results/dev/parabola/problem_0254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f60b220eb1967eb31fc2742788ff3d2224939d271e2c08c588fb7f0b8622d09
+size 184823
diff --git a/results/dev/parabola/problem_0256.png b/results/dev/parabola/problem_0256.png
new file mode 100644
index 0000000000000000000000000000000000000000..efa68d7e4e3a03e8be6cb14cc761801ea2fae7a0
--- /dev/null
+++ b/results/dev/parabola/problem_0256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4c7166946ba4164e19e8da62a35b7be1b152f0bb6e06fe80c8206962563361d
+size 213256
diff --git a/results/dev/parabola/problem_0263.png b/results/dev/parabola/problem_0263.png
new file mode 100644
index 0000000000000000000000000000000000000000..2109cd56bd54b2b72dac1d33d045e8783a9d0360
--- /dev/null
+++ b/results/dev/parabola/problem_0263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d520726d175292520e3d83c7dc1248e7322e8558eedf276423af11b2030fdf4
+size 190081
diff --git a/results/dev/parabola/problem_0264.png b/results/dev/parabola/problem_0264.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ea29f59b34af9e46cba258cdfa5fb863e45c0c8
--- /dev/null
+++ b/results/dev/parabola/problem_0264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7793eeafb6d10072e73fd822147b31ef060cddbd5005e7f4aee466dadd7ddb37
+size 187310
diff --git a/results/dev/parabola/problem_0269.png b/results/dev/parabola/problem_0269.png
new file mode 100644
index 0000000000000000000000000000000000000000..1bff2fdcd349d5dded0eb41be90c1781375e30e1
--- /dev/null
+++ b/results/dev/parabola/problem_0269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0388cb5d2a4f8466bbb02274b243ce6b4a8d219c08f1e81eed4cace2aeaed7f3
+size 183819
diff --git a/results/dev/parabola/problem_0274.png b/results/dev/parabola/problem_0274.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5737e39915980a2c6bdf5249eed587eccf21a80
--- /dev/null
+++ b/results/dev/parabola/problem_0274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e995df276f6f184c7064efe63d0889f2632513a8a7199c1cc6ec3513a82ba20
+size 203488
diff --git a/results/dev/parabola/problem_0278.png b/results/dev/parabola/problem_0278.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f3c9a8305943f51ddcdb60247975803ab4bb58c
--- /dev/null
+++ b/results/dev/parabola/problem_0278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f3634c951b35c7ca1eb2cb4dae99da5c41537baf741dc7204995c8371681676
+size 195101
diff --git a/results/dev/parabola/problem_0279.png b/results/dev/parabola/problem_0279.png
new file mode 100644
index 0000000000000000000000000000000000000000..be51d21eca1a60293963ea6c1c164bcb45488a3c
--- /dev/null
+++ b/results/dev/parabola/problem_0279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b882e459218014d10570756350efa46ec9660bd4af13920a658bb214863d3e5
+size 186295
diff --git a/results/dev/parabola/problem_0280.png b/results/dev/parabola/problem_0280.png
new file mode 100644
index 0000000000000000000000000000000000000000..c64fb4213a7fdf4febb17e2b2c461b11a9c82db2
--- /dev/null
+++ b/results/dev/parabola/problem_0280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:006b1dc829d0c7c262c3cc652dd1508a39a5e5eaa23c5d0370e63c58ed24de48
+size 192727
diff --git a/results/dev/parabola/problem_0293.png b/results/dev/parabola/problem_0293.png
new file mode 100644
index 0000000000000000000000000000000000000000..3af80a1c2214e0561e7581cd432c008b87ad7832
--- /dev/null
+++ b/results/dev/parabola/problem_0293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06348b9b0ac1eeb1e67a5bb747b3165b14447dcfa3b39a1b5fedeee95cb84c90
+size 190257
diff --git a/results/dev/parabola/problem_0305.png b/results/dev/parabola/problem_0305.png
new file mode 100644
index 0000000000000000000000000000000000000000..f07cb8f173bde894c7043238ec8431c5946479a0
--- /dev/null
+++ b/results/dev/parabola/problem_0305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0e3cc402a950a76c07dbfe896cf55f7205bfd9b60b5a14de9c7065a402b07dd
+size 187880
diff --git a/results/dev/parabola/problem_0307.png b/results/dev/parabola/problem_0307.png
new file mode 100644
index 0000000000000000000000000000000000000000..4741d886467a02600376237fe1d80c998c414955
--- /dev/null
+++ b/results/dev/parabola/problem_0307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8219ee812fa8fe52beaee18df9a0945f4ffe7c780f811db2697ce7a8615305a
+size 196016
diff --git a/results/dev/parabola/problem_0311.png b/results/dev/parabola/problem_0311.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7e3b79a623b5fededb4c410abeb5ff3c85afd0c
--- /dev/null
+++ b/results/dev/parabola/problem_0311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5921a8ed5c091100c2b45eab7656774903f8ea06933a7b79efda47932e4d3161
+size 184398
diff --git a/results/dev/parabola/problem_0324.png b/results/dev/parabola/problem_0324.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f77ee9c7c18b173592846c90d1610ea2d75bfd1
--- /dev/null
+++ b/results/dev/parabola/problem_0324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7df6b1cbb607c8214c92849f9092744607b615a62c36037183ce55b5ebceb6db
+size 187953
diff --git a/results/dev/parabola/problem_0327.png b/results/dev/parabola/problem_0327.png
new file mode 100644
index 0000000000000000000000000000000000000000..4825c366240d65af5da682d1f836ceaa6f87754d
--- /dev/null
+++ b/results/dev/parabola/problem_0327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a707728dc387a448ad2d98720c4a12226f54af9abf1b2cf8930c1ca22f55871
+size 184443
diff --git a/results/dev/parabola/problem_0330.png b/results/dev/parabola/problem_0330.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a8b3d6081c3f53ad29833fe510820fc01f8bea7
--- /dev/null
+++ b/results/dev/parabola/problem_0330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:485c18370a1a8578acbdb914e9ef8bbc5aa10a049e188e4fed1bb1bf806a398e
+size 190979
diff --git a/results/dev/parabola/problem_0332.png b/results/dev/parabola/problem_0332.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c6f6b533d27f0ec2cef513b64f28a54c75eb465
--- /dev/null
+++ b/results/dev/parabola/problem_0332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e42f4f564d00af9d3230e14b2e3d8be773fd887251c97d9187a88241e67e9b46
+size 194528
diff --git a/results/dev/parabola/problem_0333.png b/results/dev/parabola/problem_0333.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e47afe41999ca61b0b2999b4c031b4ac71f6b8f
--- /dev/null
+++ b/results/dev/parabola/problem_0333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2985968de34f4888d873dfe5345f1075fe5b4e8c847def4152b0c8a9430dc8f
+size 163492
diff --git a/results/dev/parabola/problem_0335.png b/results/dev/parabola/problem_0335.png
new file mode 100644
index 0000000000000000000000000000000000000000..919b543e2ebcd6a15803319f409135d963a0987a
--- /dev/null
+++ b/results/dev/parabola/problem_0335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e6d776902f1a5804708884f6ae6638547f4bed5331445094865981b1718dfa3
+size 185858
diff --git a/results/dev/parabola/problem_0336.png b/results/dev/parabola/problem_0336.png
new file mode 100644
index 0000000000000000000000000000000000000000..841d2ca91a43c8874457958a9c34c1ede192eaaa
--- /dev/null
+++ b/results/dev/parabola/problem_0336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7bb322bbea4aee2be3334702c5f37976751fa002ab68e461a92b937d94f7d2f
+size 203917
diff --git a/results/dev/parabola/problem_0339.png b/results/dev/parabola/problem_0339.png
new file mode 100644
index 0000000000000000000000000000000000000000..21a5fc2efb5506aa6bbbf2243a6cad9aeb5dc93d
--- /dev/null
+++ b/results/dev/parabola/problem_0339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1561f64e0feee98a2d02014ceb747e869c1743ca4b66dab5178b4528c7f291a
+size 181250
diff --git a/results/dev/parabola/problem_0341.png b/results/dev/parabola/problem_0341.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b94b1cb3b28a95855737caf548fb74a393460e2
--- /dev/null
+++ b/results/dev/parabola/problem_0341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc7ebef78d1b9164d74ef02ef2764661bcbdd00f79cde0d8a4466a0cba1dfabd
+size 180051
diff --git a/results/dev/parabola/problem_0344.png b/results/dev/parabola/problem_0344.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b38f10d837ccf8ff1cb70d2395cc3c15562d2d5
--- /dev/null
+++ b/results/dev/parabola/problem_0344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d03921cbfee43127d847e765a288ccaee7bc8116ca2cfa8ae161dfc1031d8d4
+size 184739
diff --git a/results/dev/parabola/problem_0350.png b/results/dev/parabola/problem_0350.png
new file mode 100644
index 0000000000000000000000000000000000000000..75eae3a20dc254829d4a71daf6250807c9e121d6
--- /dev/null
+++ b/results/dev/parabola/problem_0350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b43a292554bf30da6bc712321a0e748768d97051d4675c4de17b7e661617a8f9
+size 194817
diff --git a/results/dev/parabola/problem_0355.png b/results/dev/parabola/problem_0355.png
new file mode 100644
index 0000000000000000000000000000000000000000..1064e83e29e1ca3a8d8fffc69ba3656a4eef956e
--- /dev/null
+++ b/results/dev/parabola/problem_0355.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54589a6cb7af5a8d2303da79972311a1833abb5de260f9e5f1108526a59b2a6f
+size 186994
diff --git a/results/dev/parabola/problem_0356.png b/results/dev/parabola/problem_0356.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5f94be619a195c52e10816fae4fb04b82e46844
--- /dev/null
+++ b/results/dev/parabola/problem_0356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:054d368f52ad0119908667ee2ce522503e1ef289ad06debd55aba6a1ddc3f9fc
+size 195579
diff --git a/results/dev/parabola/problem_0358.png b/results/dev/parabola/problem_0358.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ac3a59d06f570bfad1b0cf06f8b5665de00e09b
--- /dev/null
+++ b/results/dev/parabola/problem_0358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2f2a25139dabfb3fe1c216e550b36d90205e8363d00a08b90211b2980cf5d08
+size 185020
diff --git a/results/dev/parabola/problem_0361.png b/results/dev/parabola/problem_0361.png
new file mode 100644
index 0000000000000000000000000000000000000000..3098bdd44ab76d38039fcd751b882cb55a0ed9ec
--- /dev/null
+++ b/results/dev/parabola/problem_0361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2dee14f05d450b94c900060df3d82c834cb6fc22c7559b7dc37c18bca840241f
+size 168618
diff --git a/results/dev/parabola/problem_0362.png b/results/dev/parabola/problem_0362.png
new file mode 100644
index 0000000000000000000000000000000000000000..624648a1c15ab4a8c17ffa8821897bc3b9c3930d
--- /dev/null
+++ b/results/dev/parabola/problem_0362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:657f0aeaf1bfc12cc7fe8a22c4919a08b3d964054b3799a47afb34efec63ce2a
+size 201943
diff --git a/results/dev/parabola/problem_0369.png b/results/dev/parabola/problem_0369.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f5f5341c4c4032fe6d3bce5206848c86b41fcf4
--- /dev/null
+++ b/results/dev/parabola/problem_0369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc6cd8fd8377f64560f7b4d83fd19cfef0e2c497ac3307c0827b2821bea92810
+size 187179
diff --git a/results/dev/parabola/problem_0371.png b/results/dev/parabola/problem_0371.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4ca444aa475b000ca8fa64d815b7662678cc61a
--- /dev/null
+++ b/results/dev/parabola/problem_0371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b88ca4dce380b71e53daa49ad48d61c53426a87c3533f7593ebe7387c2f68b6
+size 204099
diff --git a/results/dev/parabola/problem_0372.png b/results/dev/parabola/problem_0372.png
new file mode 100644
index 0000000000000000000000000000000000000000..59668018bdf5a68446e0e53ce2aaa5a18b2862d2
--- /dev/null
+++ b/results/dev/parabola/problem_0372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83b740e880e95793a1fcd54cde52d66b3c21630a56d9009919ae7db9e7f1f7e9
+size 160808
diff --git a/results/dev/parabola/problem_0374.png b/results/dev/parabola/problem_0374.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1c591bcc35c46e461b6bb0bb2982fa0ad7e7e05
--- /dev/null
+++ b/results/dev/parabola/problem_0374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50bd5f6b45bdcac0c839dced1fd5a392b86cfa407c656824e07e0a4139c6a94e
+size 200989
diff --git a/results/dev/parabola/problem_0377.png b/results/dev/parabola/problem_0377.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb01e81ebd4a5c72cc70020c209f9c59c2b36075
--- /dev/null
+++ b/results/dev/parabola/problem_0377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38afa4b59b79d4128f265a5d99818422e4d19023eb041fed419c34bb9847a526
+size 175056
diff --git a/results/dev/parabola/problem_0378.png b/results/dev/parabola/problem_0378.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9cf05316edf4410754490f70c2a0e61f7e22537
--- /dev/null
+++ b/results/dev/parabola/problem_0378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:454ec7d4f2f3c162aa8e234753f4eee3fa2d68375aa738c3c458f08cb23e8226
+size 197680
diff --git a/results/dev/parabola/problem_0381.png b/results/dev/parabola/problem_0381.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ea42b68e27fea6d9bc5514637a7abd1de77d407
--- /dev/null
+++ b/results/dev/parabola/problem_0381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4cf661455ae3472e8868001749d293ac6cee1b5a448c1a3631d6ddce64c33f1
+size 188089
diff --git a/results/dev/parabola/problem_0389.png b/results/dev/parabola/problem_0389.png
new file mode 100644
index 0000000000000000000000000000000000000000..52bd91baf337756dc5e982e1f1075360905f77dd
--- /dev/null
+++ b/results/dev/parabola/problem_0389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bee89a34923d396ee84435ed313c7d42342b5e03b62011734cfbfcddebb94a3
+size 185710
diff --git a/results/dev/parabola/problem_0392.png b/results/dev/parabola/problem_0392.png
new file mode 100644
index 0000000000000000000000000000000000000000..84705dbcca828611fce072e7d9c73208756fef1e
--- /dev/null
+++ b/results/dev/parabola/problem_0392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64464cf7d56a836378b7d77c882bbedae730ec85442b349445e62866e56c5b46
+size 186392
diff --git a/results/dev/parabola/problem_0396.png b/results/dev/parabola/problem_0396.png
new file mode 100644
index 0000000000000000000000000000000000000000..985e701273774f9172bdc0a36def7e349887c5b9
--- /dev/null
+++ b/results/dev/parabola/problem_0396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e071cdfa6f08e0449770ada2729d4e49d9c9821a584b33528c0973052b81f0fa
+size 198430
diff --git a/results/dev/parabola/problem_0398.png b/results/dev/parabola/problem_0398.png
new file mode 100644
index 0000000000000000000000000000000000000000..52151889deba7835943a55643c48aca8472ea272
--- /dev/null
+++ b/results/dev/parabola/problem_0398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5ea5002a011514c84f44be96821ce251d33313b5ad272060a40db1e9b8d3baa
+size 179791
diff --git a/results/dev/parabola/problem_0402.png b/results/dev/parabola/problem_0402.png
new file mode 100644
index 0000000000000000000000000000000000000000..b99f3dd7b50e99ad88c2ba82b0aff8e9711a2424
--- /dev/null
+++ b/results/dev/parabola/problem_0402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a1af1fec8e5f8b58f13c954a0ded5dd6295e67b53476c5ec72eb1429437b9bc
+size 182113
diff --git a/results/dev/parabola/problem_0409.png b/results/dev/parabola/problem_0409.png
new file mode 100644
index 0000000000000000000000000000000000000000..755de810f45da67a5b91db275b5846a2d41a456f
--- /dev/null
+++ b/results/dev/parabola/problem_0409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:813f95ae2f227585acb2e5e63f71228aa5ab684e186b0d9b4a711f5cbfcc2231
+size 185240
diff --git a/results/dev/parabola/problem_0410.png b/results/dev/parabola/problem_0410.png
new file mode 100644
index 0000000000000000000000000000000000000000..99d2e7cc88b058a12224bbdff10d0f1db56162b9
--- /dev/null
+++ b/results/dev/parabola/problem_0410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1bf4777304bd252fc0204ce6bbb5c9391afea7cd8929f538cc34ff4909e3805
+size 165878
diff --git a/results/dev/parabola/problem_0414.png b/results/dev/parabola/problem_0414.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a21a949dd37199cd3227c018389320fca49e248
--- /dev/null
+++ b/results/dev/parabola/problem_0414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4bbcd6ac9f6b5a0a3f3fca0abf6302baa9fc1ec9b18acdb8bc8d789d3ed200b
+size 191949
diff --git a/results/dev/parabola/problem_0415.png b/results/dev/parabola/problem_0415.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d8592bc1c90e1bcad4a4ca664471893169acdeb
--- /dev/null
+++ b/results/dev/parabola/problem_0415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6931681afade6db16c5d86ffe9cbbb997214ef86e2d69f6f6a762107290ec956
+size 203312
diff --git a/results/dev/parabola/problem_0418.png b/results/dev/parabola/problem_0418.png
new file mode 100644
index 0000000000000000000000000000000000000000..de8ab775d092a096c42b6d6bab25866c77d23159
--- /dev/null
+++ b/results/dev/parabola/problem_0418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:221484ae800a9bb7b4662c5ad98083996de33d27b6d55dd6c268c9c98d37e596
+size 186882
diff --git a/results/dev/parabola/problem_0420.png b/results/dev/parabola/problem_0420.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a24d2c12ced62bd6eaeb0cc681038c81adef003
--- /dev/null
+++ b/results/dev/parabola/problem_0420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da895b64ec0ed361a67ab498e3478b2d248baf2440b031d9c1f1eef2e7dbf8fc
+size 191242
diff --git a/results/dev/parabola/problem_0428.png b/results/dev/parabola/problem_0428.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f08d4c8409acbe5fc569948bfa0603c590466e1
--- /dev/null
+++ b/results/dev/parabola/problem_0428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cd96a006a7decbdd4995a27671314ad201281ac2a5591acd8d5fb262f9f4c59
+size 180417
diff --git a/results/dev/parabola/problem_0429.png b/results/dev/parabola/problem_0429.png
new file mode 100644
index 0000000000000000000000000000000000000000..639bc736395c68c43c408f1dd1212b00ed29d06f
--- /dev/null
+++ b/results/dev/parabola/problem_0429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd338172c5f8e1742d4462dc836b4714dc58d0a7f4191abb61d6231624b9774a
+size 190492
diff --git a/results/dev/parabola/problem_0443.png b/results/dev/parabola/problem_0443.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d0f11af4361b64327e808c8de3786878b32a539
--- /dev/null
+++ b/results/dev/parabola/problem_0443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:622347670e7909ff97266d55fc7832adab801a2e8d99bd4fe50801bb75d30ea9
+size 186667
diff --git a/results/dev/parabola/problem_0455.png b/results/dev/parabola/problem_0455.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f7953688160df087c0d4982bb156c1729b8c085
--- /dev/null
+++ b/results/dev/parabola/problem_0455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3ebbebf47539311ddb35ed3f36fc758237a2cf0c9b673857d1af16531fc2eac
+size 185443
diff --git a/results/dev/parabola/problem_0456.png b/results/dev/parabola/problem_0456.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f91e777d650de7c2891fa855ed2ff70351caca6
--- /dev/null
+++ b/results/dev/parabola/problem_0456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:743e5ae3956947790da6e326be6e6d04ebb457a04596452e7d75d73f4ba263e7
+size 188390
diff --git a/results/dev/parabola/problem_0457.png b/results/dev/parabola/problem_0457.png
new file mode 100644
index 0000000000000000000000000000000000000000..f23e094061d9711bfb6b63feee1229034473b95c
--- /dev/null
+++ b/results/dev/parabola/problem_0457.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b87e227e3e5747623b9a94aa7590cf3f3d94aabdb27238a4ac19abc04e3ecd5f
+size 187783
diff --git a/results/dev/parabola/problem_0461.png b/results/dev/parabola/problem_0461.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd69cf06b9d35cfea1b90739fcf2b0fcdc0750f2
--- /dev/null
+++ b/results/dev/parabola/problem_0461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:578802f7b4fd69a190f2ccb14a5f812bc4c2b833900452f360ed4551108ab18e
+size 201058
diff --git a/results/dev/parabola/problem_0464.png b/results/dev/parabola/problem_0464.png
new file mode 100644
index 0000000000000000000000000000000000000000..650381e05f23920cb2b51011ea50b405fd6731f6
--- /dev/null
+++ b/results/dev/parabola/problem_0464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a56d48e49f6e90b35e07583604771b5f7397499cca61952a259e2554d0fae8f9
+size 188577
diff --git a/results/dev/parabola/problem_0468.png b/results/dev/parabola/problem_0468.png
new file mode 100644
index 0000000000000000000000000000000000000000..45d56822271bb16739d64f1cbcf8887c336ae66c
--- /dev/null
+++ b/results/dev/parabola/problem_0468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff49236b0ad5dafc6c1b31e9cf23ae7a41695ef248c8877cc74b5199a4a46c06
+size 133528
diff --git a/results/dev/parabola/problem_0470.png b/results/dev/parabola/problem_0470.png
new file mode 100644
index 0000000000000000000000000000000000000000..b75ff3bb8ee1d9c86ffdd2a32e7e00b5cd0b8de7
--- /dev/null
+++ b/results/dev/parabola/problem_0470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ff8a66cd44e8357ef556eae3cad3604505bfd7a14121f020c9e4c0e53041f5a
+size 188675
diff --git a/results/dev/parabola/problem_0471.png b/results/dev/parabola/problem_0471.png
new file mode 100644
index 0000000000000000000000000000000000000000..795c6829952896392cfa5b4adb5ec5cb19c383b2
--- /dev/null
+++ b/results/dev/parabola/problem_0471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb289ae41834d7a3cf0a109b7cf05093224541366b608a6e431a47bd05f190a7
+size 198537
diff --git a/results/dev/parabola/problem_0476.png b/results/dev/parabola/problem_0476.png
new file mode 100644
index 0000000000000000000000000000000000000000..44181819c7591c27ba0b1fd27c22defadb0f4b55
--- /dev/null
+++ b/results/dev/parabola/problem_0476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:895c859d4ba10e1edb0edf7a4ea128cbde27ada5df3f668072b3a8a3929f82fe
+size 202995
diff --git a/results/dev/parabola/problem_0481.png b/results/dev/parabola/problem_0481.png
new file mode 100644
index 0000000000000000000000000000000000000000..63b39049dfdc64087bd6180b5b5cd4b93a059600
--- /dev/null
+++ b/results/dev/parabola/problem_0481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c33e91434ac8cb4fd863845af433e176fad0d24de1de186ed9138177237290d9
+size 201863
diff --git a/results/dev/parabola/problem_0492.png b/results/dev/parabola/problem_0492.png
new file mode 100644
index 0000000000000000000000000000000000000000..923ca327ddf87019d297bdc41874402682851c74
--- /dev/null
+++ b/results/dev/parabola/problem_0492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22cfa5e163347869792f00e1b58541cc41e7453c3446fd25bece7f47b230c5de
+size 197436
diff --git a/results/dev/parabola/problem_0494.png b/results/dev/parabola/problem_0494.png
new file mode 100644
index 0000000000000000000000000000000000000000..e89bcdf92d2ef3f30afbf96a4844a3f685f121df
--- /dev/null
+++ b/results/dev/parabola/problem_0494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d823f89deb7060bbb9b991b5cddfb5e796342b500d869f9fad778ad8394d20ad
+size 185730
diff --git a/results/dev/parabola/problem_0497.png b/results/dev/parabola/problem_0497.png
new file mode 100644
index 0000000000000000000000000000000000000000..46a110a57c18dae6fe3e0d9dcce0d059782b81d7
--- /dev/null
+++ b/results/dev/parabola/problem_0497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39685f1c54d4b553f7474b08062babc3caed845029632b4b17737b04ea20ace7
+size 177196
diff --git a/results/dev/parabola/problem_0502.png b/results/dev/parabola/problem_0502.png
new file mode 100644
index 0000000000000000000000000000000000000000..46062e1095779a76a1fe9e7ef0686e7a1f61359d
--- /dev/null
+++ b/results/dev/parabola/problem_0502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:363db234e6ce9f36d9306e0bd975a5163de93bd67c458c17bbc1c6f39439b0e3
+size 181752
diff --git a/results/dev/parabola/problem_0503.png b/results/dev/parabola/problem_0503.png
new file mode 100644
index 0000000000000000000000000000000000000000..103041d7162e2d7c0f516fdf6194ea684e7e22ab
--- /dev/null
+++ b/results/dev/parabola/problem_0503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a04935e9b59c7c132ffe2c123910ae23fd05cf5fd0d59ffe6977472507177ab4
+size 184283
diff --git a/results/dev/parabola/problem_0508.png b/results/dev/parabola/problem_0508.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bf722fe6057a548691ab6a79b6346061ef85067
--- /dev/null
+++ b/results/dev/parabola/problem_0508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66e82d9ac538a8c976e53c69e494f6f6896ca39ae6eeebc655e54ad0e7bea5d7
+size 187601
diff --git a/results/dev/parabola/problem_0512.png b/results/dev/parabola/problem_0512.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab777aa2c3343786f53c460e4c1a5bc24b375937
--- /dev/null
+++ b/results/dev/parabola/problem_0512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:986a8b38c0fdd42ea904ed38eb99675a87d9157298dd73ce8c2948cfc70141d4
+size 180910
diff --git a/results/dev/parabola/problem_0518.png b/results/dev/parabola/problem_0518.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b717da398113dd5d1d3dff3200bb44ff14e40c6
--- /dev/null
+++ b/results/dev/parabola/problem_0518.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48172ba1eee3af4643fb6f7814746330bd01ee02f6fe126fa15d7d5a0807b8c2
+size 187491
diff --git a/results/dev/parabola/problem_0527.png b/results/dev/parabola/problem_0527.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fcde9e4cd893e7f7c1c06cbf713d6b7878958f1
--- /dev/null
+++ b/results/dev/parabola/problem_0527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6f0020fd207d877d167b6e6e745fb47403cd5522ada88dbfd12ab67b87d6fa9
+size 186448
diff --git a/results/dev/parabola/problem_0532.png b/results/dev/parabola/problem_0532.png
new file mode 100644
index 0000000000000000000000000000000000000000..20e62fc66e07d23b6e0d94b2dec5b3e5b7a88e36
--- /dev/null
+++ b/results/dev/parabola/problem_0532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d216075499c07522a078f8650d26f63e9bd33307b900946f8195eee46a51165e
+size 203714
diff --git a/results/dev/parabola/problem_0536.png b/results/dev/parabola/problem_0536.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd513eba29da11033065b0627deb81e9237f9be0
--- /dev/null
+++ b/results/dev/parabola/problem_0536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b13980be8855def989dabf1dc6f9ef4279003a96c4bd7581e430c52d42ce945
+size 199164
diff --git a/results/dev/parabola/problem_0538.png b/results/dev/parabola/problem_0538.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ef22ba077d267923a222825e8201b682a8d4e8b
--- /dev/null
+++ b/results/dev/parabola/problem_0538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da74c1496c06b7a9ed821ec0ba01eb47e58a750ff807f40d84f81e2bd33254f0
+size 197449
diff --git a/results/dev/parabola/problem_0541.png b/results/dev/parabola/problem_0541.png
new file mode 100644
index 0000000000000000000000000000000000000000..dee5bd1454dee65fabe7013ffb8b58ac1f9901d9
--- /dev/null
+++ b/results/dev/parabola/problem_0541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31c8bcc90ba2989c7d549f4c55a63a5193e6d05cf6895fe4e442eee38c58a7f7
+size 188988
diff --git a/results/dev/parabola/problem_0543.png b/results/dev/parabola/problem_0543.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f5cc1d5578adaa1984bf66f6417012d122b5931
--- /dev/null
+++ b/results/dev/parabola/problem_0543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ac072b46cfde6f2486f1889446d24d8d2f63b37d8427e0bcbcd8b092281682
+size 190649
diff --git a/results/dev/parabola/problem_0551.png b/results/dev/parabola/problem_0551.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bad1e63cf71c2957939cd772ab1c78245b8e421
--- /dev/null
+++ b/results/dev/parabola/problem_0551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:499ce32ce2c39fc95e7da044390d588ce3921afe310e969b8a8c459cf02e50eb
+size 185497
diff --git a/results/dev/parabola/problem_0552.png b/results/dev/parabola/problem_0552.png
new file mode 100644
index 0000000000000000000000000000000000000000..3300f23d9fc9fcfd7926460f71185d3d47802d15
--- /dev/null
+++ b/results/dev/parabola/problem_0552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52096ff337fa0cfb5de4e69a5656c71ac5e4cec13de0cd5a6d2e095ae6029117
+size 198937
diff --git a/results/dev/parabola/problem_0559.png b/results/dev/parabola/problem_0559.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ee9d79daab2069b08f80c48102efd6051f71a2c
--- /dev/null
+++ b/results/dev/parabola/problem_0559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:370fdb6a41e305c7775e9eff5e01853d9b71a1a35c3c4eb4e5510af8dad383fb
+size 203975
diff --git a/results/dev/parabola/problem_0560.png b/results/dev/parabola/problem_0560.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8a557c7ed6d58800a56f72abb2e8e047ee937c4
--- /dev/null
+++ b/results/dev/parabola/problem_0560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6591f27b45d5fe2237f0cd483187886f61816c1f24d9c26a738533080fad12c
+size 186686
diff --git a/results/dev/parabola/problem_0569.png b/results/dev/parabola/problem_0569.png
new file mode 100644
index 0000000000000000000000000000000000000000..0081d651fac61de73989cb1b46bc8df142c601a4
--- /dev/null
+++ b/results/dev/parabola/problem_0569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2647a4efa617130bac842b8a36e347bf39aad13d4c4659a650cdd4a99e029f3
+size 183320
diff --git a/results/dev/parabola/problem_0577.png b/results/dev/parabola/problem_0577.png
new file mode 100644
index 0000000000000000000000000000000000000000..c249eee1a276c86d9210e3b9939c9a8aed482412
--- /dev/null
+++ b/results/dev/parabola/problem_0577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1e97df00d17498811a18880bb54a1a895e22a9c4a70a24dcf31a2ac92b99313
+size 199688
diff --git a/results/dev/parabola/problem_0579.png b/results/dev/parabola/problem_0579.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb4f70c9f61fa1700198205715fd819ed9ebb857
--- /dev/null
+++ b/results/dev/parabola/problem_0579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46a5e5e9a1eb10868d634a0c3679c727c06b01941ddc19b6f7f3ea031ee6191a
+size 198362
diff --git a/results/dev/parabola/problem_0581.png b/results/dev/parabola/problem_0581.png
new file mode 100644
index 0000000000000000000000000000000000000000..7996bc518ad1570a7e8a44d9de733bd10cd19f25
--- /dev/null
+++ b/results/dev/parabola/problem_0581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a2802f19ef56a6dd7a426277ec8d4f5d37ad588432113674fcfbcde27936cad
+size 188490
diff --git a/results/dev/parabola/problem_0583.png b/results/dev/parabola/problem_0583.png
new file mode 100644
index 0000000000000000000000000000000000000000..7375d535f4cb3e55b741d44ca1377675b71049c5
--- /dev/null
+++ b/results/dev/parabola/problem_0583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3e78f6550dd1fa3453b2456dcdd8dd751380d57d0613f560c37ed082ff54cfd
+size 187766
diff --git a/results/dev/parabola/problem_0591.png b/results/dev/parabola/problem_0591.png
new file mode 100644
index 0000000000000000000000000000000000000000..c77c8f1c1a58904461dd9c62b1c025d904def66c
--- /dev/null
+++ b/results/dev/parabola/problem_0591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f5688efb40b1faa2f19db6de80deebcb8fa32f059026659b4992ac93660b77a
+size 182712
diff --git a/results/dev/parabola/problem_0594.png b/results/dev/parabola/problem_0594.png
new file mode 100644
index 0000000000000000000000000000000000000000..b58fe0cd0389e64e520b8a3a38a2d597aa818cdb
--- /dev/null
+++ b/results/dev/parabola/problem_0594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7993e915d29a4807e041b0b91608a3334ebd9432ed404e367267af8fc6f4704
+size 193828
diff --git a/results/dev/parabola/problem_0596.png b/results/dev/parabola/problem_0596.png
new file mode 100644
index 0000000000000000000000000000000000000000..b67ef668245e38a5a177eebdf5660a08f5a42a67
--- /dev/null
+++ b/results/dev/parabola/problem_0596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58da16830a37cc28561ce0935c610367a27191fb67f6dc7778cb43cc718efd1c
+size 184983
diff --git a/results/dev/parabola/problem_0605.png b/results/dev/parabola/problem_0605.png
new file mode 100644
index 0000000000000000000000000000000000000000..e792362b27337076cbe607c7eb147ac7649491b5
--- /dev/null
+++ b/results/dev/parabola/problem_0605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:023623a06178e38f2ddae7c840b69f6855ecd53716883e00fce7d37ae07e0ed2
+size 195539
diff --git a/results/dev/parabola/problem_0607.png b/results/dev/parabola/problem_0607.png
new file mode 100644
index 0000000000000000000000000000000000000000..828f7ac0f0d7a2e62aac80213406cdc2b97af2c1
--- /dev/null
+++ b/results/dev/parabola/problem_0607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7597285b7913c21e60f6dc9df3d9d8b8c6edd214c3c0e4410a6442a94f34f1b8
+size 188021
diff --git a/results/dev/parabola/problem_0619.png b/results/dev/parabola/problem_0619.png
new file mode 100644
index 0000000000000000000000000000000000000000..2db6855da96e8666a1e8edc8331638cbaf464b77
--- /dev/null
+++ b/results/dev/parabola/problem_0619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2eff6ff26007e2c95faa6c19f7857e085c6aac7ba0367397afaff44e06378e08
+size 182689
diff --git a/results/dev/parabola/problem_0620.png b/results/dev/parabola/problem_0620.png
new file mode 100644
index 0000000000000000000000000000000000000000..08d8347e33d7d303945efbe263b6874ca4433f2b
--- /dev/null
+++ b/results/dev/parabola/problem_0620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27910f9a137278256f6e461b9c5e9b7f292ef3daafaed5065a91a6c57a32f0c7
+size 153316
diff --git a/results/dev/parabola/problem_0621.png b/results/dev/parabola/problem_0621.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a6f7653ee1f484b7c01e8f2df664bde3669590d
--- /dev/null
+++ b/results/dev/parabola/problem_0621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8098f0e7faa74a72db810565c0a3d83fc90947c0efa3a7c67fbae82ec818a285
+size 203181
diff --git a/results/dev/parabola/problem_0631.png b/results/dev/parabola/problem_0631.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f2c60e3505235c6802320e7f17962781d94f50b
--- /dev/null
+++ b/results/dev/parabola/problem_0631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c9f749ba24e5bb66db625079b1ff7c4af82de89b7a9739f6914e293c87bee4a
+size 188763
diff --git a/results/dev/parabola/problem_0635.png b/results/dev/parabola/problem_0635.png
new file mode 100644
index 0000000000000000000000000000000000000000..96da7fa5936f8bffa258071225b05083d4720ed4
--- /dev/null
+++ b/results/dev/parabola/problem_0635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7577117ed8c457264940b621661c9d8c74fdf9c144e0d3163a39312b5384ebe3
+size 195025
diff --git a/results/dev/parabola/problem_0637.png b/results/dev/parabola/problem_0637.png
new file mode 100644
index 0000000000000000000000000000000000000000..3add44ef7a2ad089404dd14818191e1e29dfef7b
--- /dev/null
+++ b/results/dev/parabola/problem_0637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:593f62f4b80ce7e3a083a18b601ca395b89def90c3516fa5e84e6e3026340593
+size 202419
diff --git a/results/dev/parabola/problem_0643.png b/results/dev/parabola/problem_0643.png
new file mode 100644
index 0000000000000000000000000000000000000000..020b792a1a39f2ad45f7535f29c3bf33d305e151
--- /dev/null
+++ b/results/dev/parabola/problem_0643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:279c4e1be18275918d2a07ea2074ef309cceda2d8977b32b14c862e98367c069
+size 189346
diff --git a/results/dev/parabola/problem_0652.png b/results/dev/parabola/problem_0652.png
new file mode 100644
index 0000000000000000000000000000000000000000..36c67fc9596a594573d59c2a2284cdfc20b3a30b
--- /dev/null
+++ b/results/dev/parabola/problem_0652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fa0e8cb21b3147b7bce4069cb5709bdf4d25e03da36b45379e0f02f4dee7918
+size 193127
diff --git a/results/dev/parabola/problem_0655.png b/results/dev/parabola/problem_0655.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4ad80b71355cf506199c52cbdb65c7e56fbd675
--- /dev/null
+++ b/results/dev/parabola/problem_0655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aeff062b3487f7a88ed20fad8f77610dc538347c8e832a7ec8875323414da42d
+size 187001
diff --git a/results/dev/parabola/problem_0656.png b/results/dev/parabola/problem_0656.png
new file mode 100644
index 0000000000000000000000000000000000000000..98952db3df43352ae1977ff16665204fe9fa9cc9
--- /dev/null
+++ b/results/dev/parabola/problem_0656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01d3fcb9a2d37c9bccba4fcf2cc835d6bac8ac9e45de418ad5d49ecfbbd8a4ed
+size 183721
diff --git a/results/dev/parabola/problem_0657.png b/results/dev/parabola/problem_0657.png
new file mode 100644
index 0000000000000000000000000000000000000000..306a557359855ac0f0cc1b66130b0a75e1f36d79
--- /dev/null
+++ b/results/dev/parabola/problem_0657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40c4a110042bc582c92a9b2b835dcaa12b011ec0868c2368e8d08daad7f7d0ad
+size 185879
diff --git a/results/dev/parabola/problem_0658.png b/results/dev/parabola/problem_0658.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce012aee84d17f91a5213e1a0910b654056aa080
--- /dev/null
+++ b/results/dev/parabola/problem_0658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48577ad66a0fb53779b7ab5b0aa566a1668e2c25b649cbade0adb7052ed3823c
+size 191406
diff --git a/results/dev/parabola/problem_0660.png b/results/dev/parabola/problem_0660.png
new file mode 100644
index 0000000000000000000000000000000000000000..9804ee32c90ac730e658de027ce9a4b5a9c3d471
--- /dev/null
+++ b/results/dev/parabola/problem_0660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a8aedaa216a991af30afefdadae86c871312cdce7dd3ef88eff3809faf54d7d
+size 196452
diff --git a/results/dev/parabola/problem_0672.png b/results/dev/parabola/problem_0672.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b7ced166662e28e83ac48749524c6d48ae3e045
--- /dev/null
+++ b/results/dev/parabola/problem_0672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f5849983497ddd2da140219285badf6521166a84860985b5bfba7780bcc641f
+size 189063
diff --git a/results/dev/parabola/problem_0674.png b/results/dev/parabola/problem_0674.png
new file mode 100644
index 0000000000000000000000000000000000000000..f066a81002450522a898ec5f64144f7cff55c0fb
--- /dev/null
+++ b/results/dev/parabola/problem_0674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b681c8574cfec15424de06fb86723f0ba1b0a116d0811423cb3122dfa6ce205
+size 197219
diff --git a/results/dev/parabola/problem_0680.png b/results/dev/parabola/problem_0680.png
new file mode 100644
index 0000000000000000000000000000000000000000..22c61e1c7bf10586e24e6d6f1c85e321a554e71f
--- /dev/null
+++ b/results/dev/parabola/problem_0680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29711dda5465d88c508183f752ee4088d162caba26ca15b9b5d8960fb41ed066
+size 187016
diff --git a/results/dev/parabola/problem_0682.png b/results/dev/parabola/problem_0682.png
new file mode 100644
index 0000000000000000000000000000000000000000..a47c557443d0e7f8dffd753d766c7c78158b9f65
--- /dev/null
+++ b/results/dev/parabola/problem_0682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49017c13e362c04b6cea117f68e5cb45d52920ba8589283be1d9d9ae463ae485
+size 185376
diff --git a/results/dev/parabola/problem_0683.png b/results/dev/parabola/problem_0683.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cc27784376e47493740f16802016efbe2327f64
--- /dev/null
+++ b/results/dev/parabola/problem_0683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c03a067ec047aff604246b0ed24a450d43985746df467d4789619e0bba2fb080
+size 158564
diff --git a/results/dev/parabola/problem_0686.png b/results/dev/parabola/problem_0686.png
new file mode 100644
index 0000000000000000000000000000000000000000..70ad256dcca9f808976543748d56e2e5759993e9
--- /dev/null
+++ b/results/dev/parabola/problem_0686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67b0d5be3ed09825cda5f53d053369e296aebdc6d69a7d5b36cf295c4f3fb1dd
+size 193660
diff --git a/results/dev/parabola/problem_0687.png b/results/dev/parabola/problem_0687.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cd018295fbead6f90bd2d3bcb8f8ac65c4457e2
--- /dev/null
+++ b/results/dev/parabola/problem_0687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f22cde81378bf2c12d3e33da6dcb57127eea1c9e92226af9cb31a6319dfb8cc6
+size 187538
diff --git a/results/dev/parabola/problem_0689.png b/results/dev/parabola/problem_0689.png
new file mode 100644
index 0000000000000000000000000000000000000000..97d7d52dcd5a588a2098c8181690f6ade756e3ec
--- /dev/null
+++ b/results/dev/parabola/problem_0689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf287702e88122d027a8806932cd2b6c96e10361fa467d6d7774f777aacf064a
+size 188553
diff --git a/results/dev/parabola/problem_0694.png b/results/dev/parabola/problem_0694.png
new file mode 100644
index 0000000000000000000000000000000000000000..a851f8926b43f29f3fa7e7104f96c499693e73e9
--- /dev/null
+++ b/results/dev/parabola/problem_0694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92aec3954e505aeae4ed0131f8f91d554cdd55773a6d0b5836f254de3218bacb
+size 184147
diff --git a/results/dev/parabola/problem_0696.png b/results/dev/parabola/problem_0696.png
new file mode 100644
index 0000000000000000000000000000000000000000..439f59667209a33ec87981e4eacc9b8155a7f403
--- /dev/null
+++ b/results/dev/parabola/problem_0696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cea83471c352c253f8c74dcfbbd1802f9fba145df0e735607fae16104adafa2b
+size 154941
diff --git a/results/dev/parabola/problem_0714.png b/results/dev/parabola/problem_0714.png
new file mode 100644
index 0000000000000000000000000000000000000000..26cb2e5f354c1aa3b986e8ee89c52cf4ca9edee9
--- /dev/null
+++ b/results/dev/parabola/problem_0714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2fac0fdef864c1a5c3db216437391e1a8603dcb172521615a2b4badf379bd8c
+size 200577
diff --git a/results/dev/parabola/problem_0718.png b/results/dev/parabola/problem_0718.png
new file mode 100644
index 0000000000000000000000000000000000000000..590ad7d6eb11c70699146e349bfadaca89d258ec
--- /dev/null
+++ b/results/dev/parabola/problem_0718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0de95734e8cda22b6375549bbcc15bb081542c50fc69cd5807a552d88d9b531a
+size 193287
diff --git a/results/dev/parabola/problem_0721.png b/results/dev/parabola/problem_0721.png
new file mode 100644
index 0000000000000000000000000000000000000000..c66764446edf6e08f38c60a4c51228ca70acc684
--- /dev/null
+++ b/results/dev/parabola/problem_0721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2863ce4ba6b5919cfb02c4863624a83a96c8b91ff0c7cf1ef345f4659e176cbd
+size 198157
diff --git a/results/dev/parabola/problem_0730.png b/results/dev/parabola/problem_0730.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7b4453c7415a758c55eba7cd5c18a7c68cee555
--- /dev/null
+++ b/results/dev/parabola/problem_0730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b865f9243be113b47047e5c1d42157da9b40d364cd5f991cf2066fdfe0469c2
+size 180601
diff --git a/results/dev/parabola/problem_0740.png b/results/dev/parabola/problem_0740.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa61f14d2bd6d9c0a1b70794bc47352433850e6b
--- /dev/null
+++ b/results/dev/parabola/problem_0740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ff5ba1e1238574425936f5e227bcf058969c95e12fbe082405c0afad6c3965d
+size 188458
diff --git a/results/dev/parabola/problem_0741.png b/results/dev/parabola/problem_0741.png
new file mode 100644
index 0000000000000000000000000000000000000000..e90e222daf907ee5e4303a8f96ce93aaf0c7e58c
--- /dev/null
+++ b/results/dev/parabola/problem_0741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac933a34337147a14d0a5df0cc5e1e83e7ccbfc837638d8b0a771e9e24d09ec4
+size 182960
diff --git a/results/dev/parabola/problem_0743.png b/results/dev/parabola/problem_0743.png
new file mode 100644
index 0000000000000000000000000000000000000000..e996da28d75aa860d9339ea4c99945f57f548a1e
--- /dev/null
+++ b/results/dev/parabola/problem_0743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3dc278a4eb1b8578c76a95f45e4053e906d11663aa66ffeaee0a34752e60e1d
+size 186192
diff --git a/results/dev/parabola/problem_0745.png b/results/dev/parabola/problem_0745.png
new file mode 100644
index 0000000000000000000000000000000000000000..214d95007e1c579142622c9a4623c13df8bf528e
--- /dev/null
+++ b/results/dev/parabola/problem_0745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3348033c634c10ae037a41966192ca9eb759db389765b4e8df31cfa107cf2bcc
+size 204142
diff --git a/results/dev/parabola/problem_0750.png b/results/dev/parabola/problem_0750.png
new file mode 100644
index 0000000000000000000000000000000000000000..de53fa795e2ddcdb9641f8235c05b041c9d51c45
--- /dev/null
+++ b/results/dev/parabola/problem_0750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:475cd0a540b071745f0e5290d07e1955c43429ae63daff571e7cfa2bbf7c1ded
+size 190166
diff --git a/results/dev/parabola/problem_0751.png b/results/dev/parabola/problem_0751.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f0f7cc8871bd3ad0cd170fa07feabaf345b3858
--- /dev/null
+++ b/results/dev/parabola/problem_0751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:265b671c83ad09739dfd04a883b3543648f798cbeddb2441d3adfd2f5bae2555
+size 180465
diff --git a/results/dev/parabola/problem_0756.png b/results/dev/parabola/problem_0756.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b16b7c0eb629abf838e3130fdf1e61d026e93bf
--- /dev/null
+++ b/results/dev/parabola/problem_0756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17e918f6e25d01efd12622a87d7f5f5b807a9a2140baa1025d30842a44addb6c
+size 201232
diff --git a/results/dev/parabola/problem_0766.png b/results/dev/parabola/problem_0766.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5621dd0b5a76f049696ff080c4406c857d4b847
--- /dev/null
+++ b/results/dev/parabola/problem_0766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3745e8f9746fa188b69e51c1e58a38016ea949f854213f0f5e5529e2b4016430
+size 186081
diff --git a/results/dev/parabola/problem_0768.png b/results/dev/parabola/problem_0768.png
new file mode 100644
index 0000000000000000000000000000000000000000..71b708abbb0ad3406db4f61663c385914e60388b
--- /dev/null
+++ b/results/dev/parabola/problem_0768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16e43e75f56c501b48a4264f348097ba99cc05d59afa52f9cbc45dbb217d5218
+size 176520
diff --git a/results/dev/parabola/problem_0769.png b/results/dev/parabola/problem_0769.png
new file mode 100644
index 0000000000000000000000000000000000000000..b50ab9c8d510c3c4f788537de7fec58aa62829b3
--- /dev/null
+++ b/results/dev/parabola/problem_0769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3332145ded49b184dd94821560eb82727869ab6b283f8411d5347ee85cbfcbf5
+size 181243
diff --git a/results/dev/parabola/problem_0776.png b/results/dev/parabola/problem_0776.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfa4b53de8e533f15d0b159de6eee735c5cb99bd
--- /dev/null
+++ b/results/dev/parabola/problem_0776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fcc6d9ff6bd8a2caaa760060c8b0cf0e6c33d87a7e99ed1dd238555ada3d8eb7
+size 191309
diff --git a/results/dev/parabola/problem_0777.png b/results/dev/parabola/problem_0777.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ac4f74bad2dd917a0776abfb8914e0a5ae2779a
--- /dev/null
+++ b/results/dev/parabola/problem_0777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cc728c94c9c3a97f4db40f6dfc64ff60e043d1b2dd6ee56bdae3a02dbe8bc76
+size 183019
diff --git a/results/dev/parabola/problem_0779.png b/results/dev/parabola/problem_0779.png
new file mode 100644
index 0000000000000000000000000000000000000000..4539c44a234a7d69a60a11e13f51d39329cc8e02
--- /dev/null
+++ b/results/dev/parabola/problem_0779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:086b73891826ff818a8900768d9240e49495b057df43cbe88f4b77aa28f83ace
+size 181690
diff --git a/results/dev/parabola/problem_0781.png b/results/dev/parabola/problem_0781.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6fc130b21a4721bedd59f0f452a151237e6a344
--- /dev/null
+++ b/results/dev/parabola/problem_0781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:461277c461dad1ff470e69f8c1f4b56e4aa957b9f7a24308e4066ba13497fdaf
+size 189372
diff --git a/results/dev/parabola/problem_0783.png b/results/dev/parabola/problem_0783.png
new file mode 100644
index 0000000000000000000000000000000000000000..0899c528e34a34d8085d61725d64451fc4500cb9
--- /dev/null
+++ b/results/dev/parabola/problem_0783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4edc4815a66fcb442a6693871c902955a363a141e5bd5bcc559225517e284b5
+size 188612
diff --git a/results/dev/parabola/problem_0791.png b/results/dev/parabola/problem_0791.png
new file mode 100644
index 0000000000000000000000000000000000000000..8bb3d39ddcd483dd259451690c265f5a9a05afd9
--- /dev/null
+++ b/results/dev/parabola/problem_0791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3aba5e976b8234fa6b6f3bf578bb464b493c893fb8ef7f0670c1730086087e0
+size 195481
diff --git a/results/dev/parabola/problem_0794.png b/results/dev/parabola/problem_0794.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ce717b82d791e4f58187950cac3a9254fedb6bb
--- /dev/null
+++ b/results/dev/parabola/problem_0794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fbcb61e757f0de7a923e6e6809c6d44cc5380df2e2b3fc13b03b5f50ff4c02c
+size 186969
diff --git a/results/dev/parabola/problem_0796.png b/results/dev/parabola/problem_0796.png
new file mode 100644
index 0000000000000000000000000000000000000000..a17048e1372653bc6581b249f60d0c65a1e60730
--- /dev/null
+++ b/results/dev/parabola/problem_0796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a887d3503d282503a32d8e664dbc659adb9e39de3bb21aae3f08512a339ef05
+size 179812
diff --git a/results/dev/parabola/problem_0804.png b/results/dev/parabola/problem_0804.png
new file mode 100644
index 0000000000000000000000000000000000000000..14f4a3beafc286d5ca74d64ec4bfdca16bd77ef6
--- /dev/null
+++ b/results/dev/parabola/problem_0804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e43a03b528a95bae0385c2136076325d2f366b4db3a5da48ba78b0c3c6f77a5e
+size 193754
diff --git a/results/dev/parabola/problem_0806.png b/results/dev/parabola/problem_0806.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ca4e528cba837997c8574fc47537d5a023ae0f5
--- /dev/null
+++ b/results/dev/parabola/problem_0806.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b772b40b9fe026da613b504fb0bb2de9578863018040ff47e09535e4058cf7bf
+size 190231
diff --git a/results/dev/parabola/problem_0807.png b/results/dev/parabola/problem_0807.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cc61f971c3bc97a6f1d6bacf344c378a8cc8a9f
--- /dev/null
+++ b/results/dev/parabola/problem_0807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d11bbb76e2726cbb902e859edda0923cd79d6108526abbc4c0e47ec084e1a29
+size 195961
diff --git a/results/dev/parabola/problem_0809.png b/results/dev/parabola/problem_0809.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a4b8650cf4a38134b261aef83c2ed5e63c2d411
--- /dev/null
+++ b/results/dev/parabola/problem_0809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26de18ee26945912d52dbfd36451e01ff555e493ac0fb9fdd45b26ccfcc9e611
+size 183732
diff --git a/results/dev/parabola/problem_0813.png b/results/dev/parabola/problem_0813.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9a1d3f371557b30ce2534dcd8878eea1e874feb
--- /dev/null
+++ b/results/dev/parabola/problem_0813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18bf5b02481c410fe0c37ac33ecbf9b8f656bf91b027ce05d2dc4e225ddf4952
+size 191671
diff --git a/results/dev/parabola/problem_0819.png b/results/dev/parabola/problem_0819.png
new file mode 100644
index 0000000000000000000000000000000000000000..79ffd789f2c0c9a71b86d0ee5fac0bf53a18ee39
--- /dev/null
+++ b/results/dev/parabola/problem_0819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00e27d4004228c252e51d6b637c3a33aa91a4a7b4bb0a30e899688571c2f7714
+size 202528
diff --git a/results/dev/parabola/problem_0823.png b/results/dev/parabola/problem_0823.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f0f1d45d1ce8228183ff4fc0bd3065d138083f9
--- /dev/null
+++ b/results/dev/parabola/problem_0823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:452b15385d24c015df06130e27bb67f02295fd5b5fea9d8aab4027fa9b231f25
+size 151434
diff --git a/results/dev/parabola/problem_0824.png b/results/dev/parabola/problem_0824.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1045af7bce3efece7f769bab437ecf99afb065b
--- /dev/null
+++ b/results/dev/parabola/problem_0824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:730e7dd5ef3debf4c9e26aa716648fd78919136c0bb8f2ada38d4dd8e719b73e
+size 184148
diff --git a/results/dev/parabola/problem_0831.png b/results/dev/parabola/problem_0831.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e37801509c4c1f10fc8c9b163bc2680962b1b5a
--- /dev/null
+++ b/results/dev/parabola/problem_0831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09f5fa04bc67d6f72388eb2409e1294d357fd20de1d59ef87e3ab981a27220bd
+size 177722
diff --git a/results/dev/parabola/problem_0832.png b/results/dev/parabola/problem_0832.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e2f5769ae8e1f07f9bfa7b0c494eadf7003f6a9
--- /dev/null
+++ b/results/dev/parabola/problem_0832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73463811a549508b46fea1897c0c0a1cd89999a74bbb61d1f9c5ff6ce32f8bc2
+size 189339
diff --git a/results/dev/parabola/problem_0841.png b/results/dev/parabola/problem_0841.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ed600d6719a2597fe9d5ff4b0ad61ff1d9a6e80
--- /dev/null
+++ b/results/dev/parabola/problem_0841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d30a6dae11a9a3d6a8ff12640f7441f374708147edbebb619a76a56922a25d3b
+size 187850
diff --git a/results/dev/parabola/problem_0842.png b/results/dev/parabola/problem_0842.png
new file mode 100644
index 0000000000000000000000000000000000000000..45003c45f6226c942df4180d926a720993c0157e
--- /dev/null
+++ b/results/dev/parabola/problem_0842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91513afe5d43954e2c78ecec50920c434fc81856a4829f1d0a3451f3f731e067
+size 187008
diff --git a/results/dev/parabola/problem_0843.png b/results/dev/parabola/problem_0843.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff6f7b07d72e1b42dfaac0564742c9967d765bcb
--- /dev/null
+++ b/results/dev/parabola/problem_0843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b45bbfa9494b1c765a67c5b3c45d6d70a5cbe6a0b932ae51f457f19db19b8e0
+size 180037
diff --git a/results/dev/parabola/problem_0844.png b/results/dev/parabola/problem_0844.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4b0f078f67c5d4e0b6194d08ceaebde63df0d8f
--- /dev/null
+++ b/results/dev/parabola/problem_0844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6888038c22046d2dcbc019db1c4ad7af3de5dd57bdf36b86bf93b6d23945948f
+size 188612
diff --git a/results/dev/parabola/problem_0846.png b/results/dev/parabola/problem_0846.png
new file mode 100644
index 0000000000000000000000000000000000000000..cab2501768f513c2ae164a048f946a3403c4f386
--- /dev/null
+++ b/results/dev/parabola/problem_0846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be8a7298eb8fbbb1907a80b231aa24e02cd0ab2b14e9a1aee940549ea39569a2
+size 189427
diff --git a/results/dev/parabola/problem_0847.png b/results/dev/parabola/problem_0847.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4f74bebeb4907b3d10a39c4cac9ee66e35ac404
--- /dev/null
+++ b/results/dev/parabola/problem_0847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49726c4515b4436d7a9f0e23988e19562b9ac0c5c5f6d3f3381bade34e433172
+size 185522
diff --git a/results/dev/parabola/problem_0853.png b/results/dev/parabola/problem_0853.png
new file mode 100644
index 0000000000000000000000000000000000000000..60e95f75534f3693a8fc4d991e24d248f5cd7352
--- /dev/null
+++ b/results/dev/parabola/problem_0853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af94f8e8e659f40462e00b1a8fbabcf2a8516ae239757b7994944daed9f1281f
+size 183156
diff --git a/results/dev/parabola/problem_0854.png b/results/dev/parabola/problem_0854.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d325256be785fdd684ade337f1e9712e312c0c5
--- /dev/null
+++ b/results/dev/parabola/problem_0854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e577f0f172a8bd735327c7cb855e7524ad30dde3490906e24b40f896cf66989c
+size 184747
diff --git a/results/dev/parabola/problem_0855.png b/results/dev/parabola/problem_0855.png
new file mode 100644
index 0000000000000000000000000000000000000000..edb9944abdf1c7588970f7309447cc4d607d84ef
--- /dev/null
+++ b/results/dev/parabola/problem_0855.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b39ec87fad19f6030ecf7aeafdcec137748bd079190be279bd3c8626f2224e09
+size 198869
diff --git a/results/dev/parabola/problem_0861.png b/results/dev/parabola/problem_0861.png
new file mode 100644
index 0000000000000000000000000000000000000000..90dffbea8d053c74a5064ff4185057475e0650ea
--- /dev/null
+++ b/results/dev/parabola/problem_0861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:042708ed8a89f78a5fe91b3f6a38f12f46f8a430ef0ec861ea8a74b0888f158f
+size 188675
diff --git a/results/dev/parabola/problem_0862.png b/results/dev/parabola/problem_0862.png
new file mode 100644
index 0000000000000000000000000000000000000000..c882fcf81661491ac9d455f29164278d9f21ec85
--- /dev/null
+++ b/results/dev/parabola/problem_0862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da981253bc873c6ea64853e981a8dd95dc2dbc3e06d53c0287f18da1066576d9
+size 189002
diff --git a/results/dev/parabola/problem_0863.png b/results/dev/parabola/problem_0863.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d74ae70b89c77adc4a9ae44d12230b0c2d35784
--- /dev/null
+++ b/results/dev/parabola/problem_0863.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72f2c9713c3c6af51f2410ae5e124cb690b9a9800f28805adbd352d10d37d0f4
+size 179113
diff --git a/results/dev/parabola/problem_0864.png b/results/dev/parabola/problem_0864.png
new file mode 100644
index 0000000000000000000000000000000000000000..b80b4ef461ec5d5ebe2c5c4ddfdace4825a03801
--- /dev/null
+++ b/results/dev/parabola/problem_0864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:912dcd8900d606824e45604f5a707d39c25ee3a9cdca1bfbd1b3418c51b14eca
+size 183226
diff --git a/results/dev/parabola/problem_0868.png b/results/dev/parabola/problem_0868.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfec2e2dda76cd0c4e411032520918513955d029
--- /dev/null
+++ b/results/dev/parabola/problem_0868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30f61f77605533ef3c53d9d805f77bade5c130ce08e03773adee0afa647b926e
+size 189435
diff --git a/results/dev/parabola/problem_0870.png b/results/dev/parabola/problem_0870.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8b5f8c2edf553cfbd481f07ce1a3e267d38542a
--- /dev/null
+++ b/results/dev/parabola/problem_0870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3092ca37cd1351bcd3f2899b705f8ff6c07f4ea37c2f58945b3c97c34f4bbebd
+size 164413
diff --git a/results/dev/parabola/problem_0872.png b/results/dev/parabola/problem_0872.png
new file mode 100644
index 0000000000000000000000000000000000000000..905308a3d7ed5b2f3e097561c50c653af8f2be2a
--- /dev/null
+++ b/results/dev/parabola/problem_0872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84589a7967b7a10c17f2e6f906156af15a072a8669edfe43f065b33fe5fba9f4
+size 203331
diff --git a/results/dev/parabola/problem_0874.png b/results/dev/parabola/problem_0874.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa4855918a8d7a3912b68c5dbcfde40968eba238
--- /dev/null
+++ b/results/dev/parabola/problem_0874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcd4094eeed991639493026c2cf85c7ab19472db71ccdd8eb987ea346b21380d
+size 186022
diff --git a/results/dev/parabola/problem_0893.png b/results/dev/parabola/problem_0893.png
new file mode 100644
index 0000000000000000000000000000000000000000..8190f7411a58a7fb687b823bb8da3e0ac76a17a4
--- /dev/null
+++ b/results/dev/parabola/problem_0893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e030ec554aaeb0e5967830a788b4211f4b8780f6a4cec58629a1e4093bed866
+size 200417
diff --git a/results/dev/parabola/problem_0894.png b/results/dev/parabola/problem_0894.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f5fa493136dd39c6e59fbe5aa682495e0334ed4
--- /dev/null
+++ b/results/dev/parabola/problem_0894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f726dea1b51089ebaf8a6e0aec9094c852ac5c1cdb2f5c33e8134c53da33d091
+size 176100
diff --git a/results/dev/parabola/problem_0897.png b/results/dev/parabola/problem_0897.png
new file mode 100644
index 0000000000000000000000000000000000000000..63105c5e378a0c8097e8845076d07ab6098da951
--- /dev/null
+++ b/results/dev/parabola/problem_0897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a02cbacc6147abe4dd31b9ad0445daabec4dcfb38d48f405f9dcc0da0d536b0e
+size 194628
diff --git a/results/dev/parabola/problem_0902.png b/results/dev/parabola/problem_0902.png
new file mode 100644
index 0000000000000000000000000000000000000000..30809cb0aaa6f9ac6cee2b10652db7ff69cc048d
--- /dev/null
+++ b/results/dev/parabola/problem_0902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:509f7994b3a2edd20c5028c14e08c5297ece46c0758066b8912af9c422704642
+size 205756
diff --git a/results/dev/parabola/problem_0903.png b/results/dev/parabola/problem_0903.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fca6670869358c8e48a6e9df6fc2c095722e808
--- /dev/null
+++ b/results/dev/parabola/problem_0903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ae0432def6d4a2e95b90cbd4f842724fb9c79e7722a28c8de6a6c668046e65a
+size 194534
diff --git a/results/dev/parabola/problem_0907.png b/results/dev/parabola/problem_0907.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfe45a7e746ddac188935272103831728fd522c1
--- /dev/null
+++ b/results/dev/parabola/problem_0907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1ed5dbba6cad288c78a6837aeb734c0ef708b7c16375c16151ba9b1a251db5a
+size 204509
diff --git a/results/dev/parabola/problem_0909.png b/results/dev/parabola/problem_0909.png
new file mode 100644
index 0000000000000000000000000000000000000000..8764ea19b6c476b39e867e2b5dcc3d125d463e4e
--- /dev/null
+++ b/results/dev/parabola/problem_0909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:992bae1f208df9c99cf6db47b71f1f7a618c263a4f2d7b3f1a4bac5d3d52caf6
+size 185841
diff --git a/results/dev/parabola/problem_0912.png b/results/dev/parabola/problem_0912.png
new file mode 100644
index 0000000000000000000000000000000000000000..c02f2070624582e9ae0b108cd57a04ff3328826e
--- /dev/null
+++ b/results/dev/parabola/problem_0912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e65423ca64ceed308edbf9ff4773ddd82245420ad03c4285df6fcf4bbe0cfab6
+size 194386
diff --git a/results/dev/parabola/problem_0913.png b/results/dev/parabola/problem_0913.png
new file mode 100644
index 0000000000000000000000000000000000000000..95feec32c655f4128f6eb42496a2f8a93d1b2ea6
--- /dev/null
+++ b/results/dev/parabola/problem_0913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28591522223928730122a55bf5b029ba4f94101bc7027f56643a179aa398d561
+size 198627
diff --git a/results/dev/parabola/problem_0915.png b/results/dev/parabola/problem_0915.png
new file mode 100644
index 0000000000000000000000000000000000000000..774b73b1743485a7e1b8b996ea81a65b9003fbbb
--- /dev/null
+++ b/results/dev/parabola/problem_0915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3565cacf58c6d5e65f52aaf819103a290485ba7b2d9de6f306b520eba541f05b
+size 203102
diff --git a/results/dev/parabola/problem_0917.png b/results/dev/parabola/problem_0917.png
new file mode 100644
index 0000000000000000000000000000000000000000..15be821f4492376bd58755b92eaa0b7f7b4b6751
--- /dev/null
+++ b/results/dev/parabola/problem_0917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c7a3af01fb546c17b8f20ca58bf3ea2890f5263ce3c8d43fc311a9d434c291d
+size 182500
diff --git a/results/dev/parabola/problem_0920.png b/results/dev/parabola/problem_0920.png
new file mode 100644
index 0000000000000000000000000000000000000000..42b6a63b54d9272b4f8c499ff05a2ef626032f77
--- /dev/null
+++ b/results/dev/parabola/problem_0920.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd0974072db162b6e8ca0b4025ef2151717c0ba233d6c0e619e01f2e9c73ede3
+size 189447
diff --git a/results/dev/parabola/problem_0924.png b/results/dev/parabola/problem_0924.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f815b854f2cb235e76cc0ad3f595e4058630081
--- /dev/null
+++ b/results/dev/parabola/problem_0924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ae91c99b0b8fc719cb1c601608f60fc776a27eb71c63141bd8a85586ef26667
+size 176105
diff --git a/results/dev/parabola/problem_0928.png b/results/dev/parabola/problem_0928.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2ac76fea184c9a48e57ffcab2e8bb801d35f693
--- /dev/null
+++ b/results/dev/parabola/problem_0928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c96913683bfc302ef1f1374c04dc54342282268b0af0cd619ebe285418fd433
+size 197505
diff --git a/results/dev/parabola/problem_0929.png b/results/dev/parabola/problem_0929.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2af543e167cf11451719da168178ec9996adb7b
--- /dev/null
+++ b/results/dev/parabola/problem_0929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e64ee1caa34678339ad8d85361102af7e37be5b9a8b3624a85a28681393a302
+size 193436
diff --git a/results/dev/parabola/problem_0934.png b/results/dev/parabola/problem_0934.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee8f463b39bb699b1594cd1a91fce5fb60674d5d
--- /dev/null
+++ b/results/dev/parabola/problem_0934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:226de0e5ba2a9ac65955e385836c14fd5f0550c92fafa86dcaba3a57f88081e5
+size 176692
diff --git a/results/dev/parabola/problem_0936.png b/results/dev/parabola/problem_0936.png
new file mode 100644
index 0000000000000000000000000000000000000000..687f191b93cfd24ea9d9f691a4eeeda36a358c63
--- /dev/null
+++ b/results/dev/parabola/problem_0936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2dcefc10923896464afd81303e9f3c8f6ff8735b0807d0b85356f41e06092486
+size 202249
diff --git a/results/dev/parabola/problem_0942.png b/results/dev/parabola/problem_0942.png
new file mode 100644
index 0000000000000000000000000000000000000000..f03aaa3950fa83d65d9716844ebd3fd0fc85949d
--- /dev/null
+++ b/results/dev/parabola/problem_0942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcc8684571737d3bfb42d82edfc3119c8418d767d921d67e804bebccc373665a
+size 180573
diff --git a/results/dev/parabola/problem_0949.png b/results/dev/parabola/problem_0949.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ef3404873b7f5754c9b209ce0a71abbce3d9585
--- /dev/null
+++ b/results/dev/parabola/problem_0949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a17b365951868e2a051fdbf89741c0a9fe831734cb331d060ab9acd2389bdd0d
+size 201296
diff --git a/results/dev/parabola/problem_0952.png b/results/dev/parabola/problem_0952.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5e87edf5c6f8f4f8f7e61f95ddd947d004f2a1c
--- /dev/null
+++ b/results/dev/parabola/problem_0952.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f24b7e1fb2dda02511094ffa822bd5f634be8b1df22e6e000ae1db3c5b26e0e5
+size 194844
diff --git a/results/dev/parabola/problem_0953.png b/results/dev/parabola/problem_0953.png
new file mode 100644
index 0000000000000000000000000000000000000000..b88dc92d250e690ce20063f62fd09578084f6d5b
--- /dev/null
+++ b/results/dev/parabola/problem_0953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41977b10a7271e7acea4bf8e3451330c39ee879d8771f5c3df00baef5a6d2341
+size 192600
diff --git a/results/dev/parabola/problem_0958.png b/results/dev/parabola/problem_0958.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c3766d7dd5c1ecbee8c37fdc9a5c75400ba0388
--- /dev/null
+++ b/results/dev/parabola/problem_0958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d887da3a3936dbeec1bbbe7e252aa45cb394d9e49968297a906c3c273ea8dae
+size 201338
diff --git a/results/dev/parabola/problem_0974.png b/results/dev/parabola/problem_0974.png
new file mode 100644
index 0000000000000000000000000000000000000000..67439d0fd7ac8f4f6b525f3c9590a8c4320db65f
--- /dev/null
+++ b/results/dev/parabola/problem_0974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:083c07d5482814b36e2a66c1aa9ef3078eccaeda9b0f83d797a9be896b9c4937
+size 170254
diff --git a/results/dev/parabola/problem_0983.png b/results/dev/parabola/problem_0983.png
new file mode 100644
index 0000000000000000000000000000000000000000..28860a60e34085899953bbbbac477d6f0eadcf2c
--- /dev/null
+++ b/results/dev/parabola/problem_0983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b555ad484da3dab121c5e55312c7c3a255f27667267b55a92f228889b47d0fa2
+size 189050
diff --git a/results/dev/parabola/problem_0986.png b/results/dev/parabola/problem_0986.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c7e13d85e391b8014f654aa675929493e3e80d9
--- /dev/null
+++ b/results/dev/parabola/problem_0986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91680762b78db3bf1016e83c08c671c1d93ab6230107fed72b99414a7ce454ca
+size 176943
diff --git a/results/dev/parabola/problem_0991.png b/results/dev/parabola/problem_0991.png
new file mode 100644
index 0000000000000000000000000000000000000000..f40929c403baf90d97fd5822f0efc52a1bceea2e
--- /dev/null
+++ b/results/dev/parabola/problem_0991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91f21c361c968d03ba67e85c9cf6049be9b9934549623509a4af4105e4e66a01
+size 142317
diff --git a/results/dev/parabola/problem_0995.png b/results/dev/parabola/problem_0995.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc6672fc7716e43346a39ba0f56698f3df3a6c0f
--- /dev/null
+++ b/results/dev/parabola/problem_0995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27453acff974ec29f7b3b8679becf2b2dfce05f094fea6ab14e377938f6aa7e4
+size 200161
diff --git a/results/dev/parabola/problem_0996.png b/results/dev/parabola/problem_0996.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5bc113c34302ea455d906b799075a8a24bb789b
--- /dev/null
+++ b/results/dev/parabola/problem_0996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1e9e4e992bd501dabc49604c8b7285990c1e7df01fecdfd9a087251bf7220d8
+size 196614
diff --git a/results/dev/parabola/problem_0997.png b/results/dev/parabola/problem_0997.png
new file mode 100644
index 0000000000000000000000000000000000000000..87999a472fdd37bfed5107d03a2e6359daf1dc89
--- /dev/null
+++ b/results/dev/parabola/problem_0997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28898ea6924b794a7a625d8d9a84a5457e943604fc25d4947475c1f7bd9dd805
+size 199402
diff --git a/results/dev/parabola/problem_1001.png b/results/dev/parabola/problem_1001.png
new file mode 100644
index 0000000000000000000000000000000000000000..89bb13406d24cbefbe63bc3a0d71b769d7c146c8
--- /dev/null
+++ b/results/dev/parabola/problem_1001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f36aebf72bb1e8e557654efa16ac331489d98b433ab38f475b47c06ef33d741e
+size 188043
diff --git a/results/dev/parabola/problem_1002.png b/results/dev/parabola/problem_1002.png
new file mode 100644
index 0000000000000000000000000000000000000000..0af99d5db842be1675f014bbf7bd6a9f3efc0a85
--- /dev/null
+++ b/results/dev/parabola/problem_1002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64e2662be753688342fe58cae3fce4f4b91ce75dc5b0cace4c41d2989108c894
+size 188099
diff --git a/results/dev/parabola/problem_1006.png b/results/dev/parabola/problem_1006.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6131006d8184cca69b7eeffa37ec137b4ea08fd
--- /dev/null
+++ b/results/dev/parabola/problem_1006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:400b767ad8c9f7cfea6bb0844cd4021317eaf01a53ef8ef3d091bcf12c966160
+size 189901
diff --git a/results/dev/parabola/problem_1008.png b/results/dev/parabola/problem_1008.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c2ada62dbe3fad6b1da713fc4076f293270c502
--- /dev/null
+++ b/results/dev/parabola/problem_1008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c082b214767b070d17612c9970ba6a25a4c3b29b12b0d2d8200d219e56cdebe6
+size 185530
diff --git a/results/dev/parabola/problem_1014.png b/results/dev/parabola/problem_1014.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fcde9e4cd893e7f7c1c06cbf713d6b7878958f1
--- /dev/null
+++ b/results/dev/parabola/problem_1014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6f0020fd207d877d167b6e6e745fb47403cd5522ada88dbfd12ab67b87d6fa9
+size 186448
diff --git a/results/dev/parabola/problem_1022.png b/results/dev/parabola/problem_1022.png
new file mode 100644
index 0000000000000000000000000000000000000000..66552ef9f25e197b3bcdc3c455d1cd6a36146458
--- /dev/null
+++ b/results/dev/parabola/problem_1022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2556949b0c43b7e3e891b2753ec012f13e75727edf2bf79a15f59343220f61f4
+size 187662
diff --git a/results/dev/parabola/problem_1023.png b/results/dev/parabola/problem_1023.png
new file mode 100644
index 0000000000000000000000000000000000000000..d17751dd39f29435b72f6b080eb8904c11fdd439
--- /dev/null
+++ b/results/dev/parabola/problem_1023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:615d89e716ff3d11fe39c8d5c13ba2ac8ccc7910d75d3afb89482a7c9b6065a5
+size 183875
diff --git a/results/dev/parabola/problem_1027.png b/results/dev/parabola/problem_1027.png
new file mode 100644
index 0000000000000000000000000000000000000000..09756dba874247347ca3608af3972736d63ad0c2
--- /dev/null
+++ b/results/dev/parabola/problem_1027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:202975c316849cd53073079694389e8fe966ac8e6116d699e7b4e0991b4182fe
+size 164411
diff --git a/results/dev/parabola/problem_1030.png b/results/dev/parabola/problem_1030.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0edb6373094a6f40de567a5e1c620ec83b30122
--- /dev/null
+++ b/results/dev/parabola/problem_1030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fdf2203f23729632fbfe0c37f1e90f0cce7c944131563f8bcd98cb958fa5f8b
+size 191831
diff --git a/results/dev/summary.json b/results/dev/summary.json
new file mode 100644
index 0000000000000000000000000000000000000000..9613aaaad44a4fc926e79005e92c70d17ed34998
--- /dev/null
+++ b/results/dev/summary.json
@@ -0,0 +1,18233 @@
+{
+  "stats": {
+    "total": 1035,
+    "success": 788,
+    "failed": 247
+  },
+  "type_stats": {
+    "ellipse": 220,
+    "hyperbola": 293,
+    "parabola": 262,
+    "circle": 13
+  },
+  "reason_counts": {
+    "hyperbola_point_off_curve": 3,
+    "hyperbola_focus_mismatch": 5,
+    "parabola_point_off_curve": 3,
+    "circle_point_off_curve": 1,
+    "ellipse_ecc_mismatch": 4,
+    "ellipse_point_off_curve": 2,
+    "ellipse_focus_mismatch": 1
+  },
+  "results": [
+    {
+      "index": 0,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0000.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Circle;F1: Point;Z: Line;T: Point;P: Point;M: Point;Expression(G) = (x^2/16 - y^2/25 = 1);LeftFocus(G) = F1;Expression(H) = (x^2 + y^2 = 16);TangentOfPoint(F1, H) = Z;TangentPoint(Z, H) = T;Intersection(OverlappingLine(LineSegmentOf(F1, T)), RightPart(G)) = P;MidPoint(LineSegmentOf(F1, P)) = M;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0001.png",
+      "answer": "[-2, 1]",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0002.png",
+      "answer": "(1, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 3,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/dev/hyperbola/problem_0003.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightVertex(G) = F;Expression(Asymptote(G)) = (y = pm*sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 4,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/dev/hyperbola/problem_0005.png",
+      "answer": "x^2/3-y^2/9=1",
+      "fact_expr": "Gamma: Hyperbola;P: Point;Coordinate(P) = (sqrt(6), 3);Expression(Asymptote(Gamma))=(y=pm*sqrt(3)*x);PointOnCurve(P,Gamma)",
+      "coords": {
+        "P": [
+          2.449489742783178,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 6,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          0.0
+        ],
+        "radius": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0006.png",
+      "answer": "x^2/9+y^2/8=1",
+      "fact_expr": "G: Circle;Expression(G) = (y^2 + (x + 1)^2 = 36);Center(G) = M;M: Point;A: Point;PointOnCurve(A, G);N: Point;Coordinate(N) = (1, 0);Intersection(PerpendicularBisector(LineSegmentOf(A,N)),LineSegmentOf(M,A)) = P;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 7,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0007.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;O: Circle;R: Number;F: Point;P: Point;Expression(G) = (x^2/4 + y^2/2 = 1);R>0;Expression(O) = (x^2 + y^2 = R^2);OneOf(Focus(G)) = F;OneOf(Endpoint(MinorAxis(G)))=P;IsTangent(LineOf(P,F),O)",
+      "coords": {}
+    },
+    {
+      "index": 8,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 9,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0009.png",
+      "answer": "8",
+      "fact_expr": "l: Line;C: Parabola;A: Point;M: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(Directrix(C), xAxis) = M;Tan(AngleOf(A, M, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 10,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0010.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(LineSegmentOf(P, F1)) = sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 11,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0011.png",
+      "answer": "2*x+2*y-3=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);M: Point;Coordinate(M) = (1, 1/2);PointOnCurve(M, H) = True;H: Line;Intersection(H, G) = {P, Q};Q: Point;P: Point;MidPoint(LineSegmentOf(P, Q)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 12,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0012.png",
+      "answer": "(0,1/2)",
+      "fact_expr": "l: Line;P: Parabola;p: Number;B: Point;C: Point;F: Point;O: Origin;M: Point;N: Point;p>0;Expression(P) = (y^2 = 2*(p*x));Coordinate(F) = (1, 0);Focus(P) = F;PointOnCurve(F, l);k:Number;Slope(l) = k;Intersection(l, P) = {B, C};L:Line;PointOnCurve(O,L);MidPoint(LineSegmentOf(B,C))=M;PointOnCurve(M,L);Intersection(L,P)=N",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 13,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0013.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;p: Number;l: Line;H:Line;M: Point;N: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Directrix(G)=l;PointOnCurve(F, H);Inclination(H)=ApplyUnit(60,degree);Intersection(H,G)=M;Quadrant(M) = 1;IsPerpendicular(LineSegmentOf(M,N),l);FootPoint(LineSegmentOf(M,N),l)=N;Area(TriangleOf(M, N, F)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 14,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 15,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0015.png",
+      "answer": "144/5",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;F: Point;Expression(C) = (x^2/25 + y^2/16 = 1);Coordinate(A) = (0, 36/5);RightFocus(C) = F;PointOnCurve(P, C);WhenMax(Perimeter(TriangleOf(A,P,F)))",
+      "coords": {
+        "A": [
+          0.0,
+          7.2
+        ]
+      }
+    },
+    {
+      "index": 16,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0016.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "l: Line;C: Parabola;A: Point;Expression(C) = (y^2 = 6*x);Coordinate(A) = (0, 2);PointOnCurve(A, l);IsTangent(l, C)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 17,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 18,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0018.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Expression(OneOf(Asymptote(G))) = (y = (3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 19,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 20,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0020.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Point;L:LineSegment;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(H) = (3, 1);IsChordOf(L,G);MidPoint(L)=H;Slope(L)=2",
+      "coords": {
+        "H": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 21,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 2.8284271247461903
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0021.png",
+      "answer": "x^2/2+y^2=1",
+      "fact_expr": "C: Circle;B: Point;A: Point;P: Point;Expression(C) = (y^2 + (x - 1)^2 = 8);Coordinate(A) = (-1, 0);PointOnCurve(B, C);Intersection(PerpendicularBisector(LineSegmentOf(A,B)), LineSegmentOf(B, C)) = P",
+      "coords": {}
+    },
+    {
+      "index": 22,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0022.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/3 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 23,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0023.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(F,LineOf(A,B));-Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 24,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0024.png",
+      "answer": "x = -1",
+      "fact_expr": "H: Circle;Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;IsTangent(H, Directrix(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 25,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0025.png",
+      "answer": "14",
+      "fact_expr": "G: Parabola;A: Point;B: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 8*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G),LineSegmentOf(A,B));IsChordOf(LineSegmentOf(A,B),G);x1 + x2 = 10",
+      "coords": {}
+    },
+    {
+      "index": 26,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 27,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0027.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;E: Point;Intersection(Directrix(C), xAxis) = E;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;Abs(LineSegmentOf(M, E)) = sqrt(11)",
+      "coords": {}
+    },
+    {
+      "index": 28,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0028.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;Expression(G) = (-c + x = 0);c: Number;P: Point;OneOf(Intersection(G, C)) = P;Q: Point;Intersection(G, OneOf(Asymptote(C))) = Q;O: Origin;VectorOf(O, P) = (1/3)*VectorOf(O, F2) + (2/3)*VectorOf(O, Q)",
+      "coords": {}
+    },
+    {
+      "index": 29,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0029.png",
+      "answer": "(0,sqrt(3)/2]",
+      "fact_expr": "C: Ellipse;b: Number;G: Line;k: Number;b>0;Expression(C) = (x^2/4 + y^2/b^2 = 1);Expression(G) = (y = k*x - 1);PointOnCurve(Focus(C),xAxis);IsIntersect(G,C)",
+      "coords": {}
+    },
+    {
+      "index": 30,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0030.png",
+      "answer": "4",
+      "fact_expr": "M: Point;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G) = True;F: Point;Focus(G) = F;A: Point;C: Circle;Expression(C) = ((x - 4)^2 + (y - 1)^2 = 1);PointOnCurve(A, C) = True",
+      "coords": {}
+    },
+    {
+      "index": 31,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.8425120115280151,
+        "b": 1.6167607307434082,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3765338735538535e-05,
+        "converged": true,
+        "iterations": 54
+      },
+      "output_path": "results/dev/hyperbola/problem_0031.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/7 + x^2/a^2 = 1);Eccentricity(G) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 32,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0032.png",
+      "answer": "11",
+      "fact_expr": "G: Ellipse;M: Point;N: Point;P: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Coordinate(M) = (1, 4);Coordinate(N) = (2, 0);PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          1.0,
+          4.0
+        ],
+        "N": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 33,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0033.png",
+      "answer": "sqrt(107)/4",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/8 + y^2/2 = 1);P: Point;PointOnCurve(P, E);A: Point;B: Point;Coordinate(A) = (-2, 1);Coordinate(B) = (2, -1);l: Line;Expression(l) = (x=4);M: Point;N: Point;Intersection(LineOf(A, P), l) = M;Intersection(LineOf(B, P), l) = N;Area(TriangleOf(A, B, P)) = Area(TriangleOf(M, N, P));O: Origin",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ],
+        "B": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 34,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0034.png",
+      "answer": "sqrt(7)",
+      "fact_expr": "G: Ellipse;b: Number;F: Point;P:Point;m:Number;M:Number;0 < b;b < 4;Expression(G) = (x^2/16 + y^2/b^2 = 1);LeftFocus(G) = F;PointOnCurve(P,G);Max(Length(LineSegmentOf(F,P)))=M;Min(Length(LineSegmentOf(F,P)))=m;M = 7*m",
+      "coords": {}
+    },
+    {
+      "index": 35,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0035.png",
+      "answer": "4*sqrt(6)",
+      "fact_expr": "E: Parabola;C: Circle;a: Number;Expression(E) = (x^2 = 4*y);Expression(C) = (a*y + 8*x + x^2 + y^2 - 5 = 0);PointOnCurve(Focus(E), C)",
+      "coords": {}
+    },
+    {
+      "index": 36,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0036.png",
+      "answer": "(sqrt(5)+1)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;B: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(B) = (0, b);RightFocus(G) = F;IsPerpendicular(OverlappingLine(LineSegmentOf(B,F)),OneOf(Asymptote(G)))",
+      "coords": {}
+    },
+    {
+      "index": 37,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0037.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - 9*y^2 = 9);Expression(H) = (2*x - 6*y - 21 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 38,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0038.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;m: Number;m>0;Coordinate(OneOf(Focus(G))) = (m, 0);P: Point;Coordinate(P) = (m, 2*m);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 39,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0039.png",
+      "answer": "6",
+      "fact_expr": "F: Point;C: Parabola;Expression(C) = (x^2 = 4*y);Focus(C) = F;PointOnCurve(F, l);l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;l1: Line;l2: Line;TangentOnPoint(A, C) = l1;TangentOnPoint(B, C) = l2;Intersection(l1, l2)= P;P: Point;Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 40,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 41,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0041.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;Distance(M, F1) = 4;MidPoint(LineSegmentOf(M, F1)) = N",
+      "coords": {}
+    },
+    {
+      "index": 42,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0042.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;PointOnCurve(F1, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A,B),G);Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2)) = 8;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 43,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0043.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;A: Point;B: Point;P: Point;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(P, G);Negation(A=B);Negation(A=P);Negation(B=P);O: Origin;PointOnCurve(O, LineSegmentOf(A, B));k1: Number;k2: Number;Slope(LineOf(P, A)) = k1;Slope(LineOf(P, B)) = k2;k1*k2=3",
+      "coords": {}
+    },
+    {
+      "index": 44,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0044.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Inclination(OneOf(Asymptote(C))) = (2*pi)/3;Eccentricity(C)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 45,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 46,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.046616818012331,
+        "b": 3.9644919697671575,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.0501961192983754e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/dev/hyperbola/problem_0046.png",
+      "answer": "3, 15",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(F1) = (-5, 0);Coordinate(F2) = (5, 0);PointOnCurve(P, G);Distance(P, F1) = 9",
+      "coords": {
+        "F1": [
+          -5.0,
+          0.0
+        ],
+        "F2": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 47,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0047.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2 + y^2/m = 1);FocalLength(G) = 4",
+      "coords": {}
+    },
+    {
+      "index": 48,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0048.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;L:Line;PointOnCurve(F2,L);IsPerpendicular(L,OneOf(Asymptote(C)));FootPoint(L,OneOf(Asymptote(C)))=P;Abs(LineSegmentOf(P, F1)) = sqrt(5)*a ;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 49,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0049.png",
+      "answer": "2+2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;P: Point;F2: Point;F1: Point;x1:Number;y1:Number;Expression(C) = (x^2/3 - y^2 = 1);Coordinate(P) = (x1, y1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 50,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0050.png",
+      "answer": "25",
+      "fact_expr": "T: Point;Coordinate(T) = (-1, 1);C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;L1: Line;L2: Line;TangentOfPoint(T, C) = {L1, L2};TangentPoint(L1, C) = A;TangentPoint(L2, C) = B;A: Point;B: Point;Focus(C) = F;F: Point;PointOnCurve(F, LineOf(A, B)) = True",
+      "coords": {
+        "T": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 51,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 52,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0052.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;M: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;UpperVertex(G)=A;VectorOf(A, M) = VectorOf(M, F2);DotProduct(VectorOf(M, F1), VectorOf(A, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 53,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 54,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 55,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0055.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;O: Origin;M: Point;P: Point;F: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);Distance(P, LeftDirectrix(G)) = 10;LeftFocus(G) = F;VectorOf(O, M) = (VectorOf(O, F) + VectorOf(O, P))/2",
+      "coords": {}
+    },
+    {
+      "index": 56,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0056.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;Expression(G) = (x^2/4 + y^2/2 = 1);IsChordOf(H,G);Coordinate(MidPoint(H))=(1,1)",
+      "coords": {}
+    },
+    {
+      "index": 57,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/dev/hyperbola/problem_0057.png",
+      "answer": "y=pm*(1/2)*x\nx^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;F1: Point;P: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};Eccentricity(G)=sqrt(5)/2;PointOnCurve(P, G);AngleOf(F1, P,F2) = ApplyUnit(90, degree);Area(TriangleOf(F1,P,F2))=1",
+      "coords": {}
+    },
+    {
+      "index": 58,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0058.png",
+      "answer": "x^2+y^2-2*x=0",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Circle;Focus(G) =  Center(H);O: Origin;PointOnCurve(O, H)",
+      "coords": {}
+    },
+    {
+      "index": 59,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 60,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0060.png",
+      "answer": "11/21",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/16 = 1);G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 61,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0061.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F1: Point;F2: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, l);Intersection(l, RightPart(C)) = {A, B};DotProduct(VectorOf(A, F1), VectorOf(A, F2)) = 0;3*VectorOf(A, F2) = VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 62,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0062.png",
+      "answer": "sqrt(5)/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1,F2};AngleOf(P, F1, F2) = alpha;AngleOf(P, F2, F1) = beta;alpha: Number;beta: Number;Cos(alpha) = sqrt(5)/5;Sin(alpha + beta) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 63,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 64,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 65,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0065.png",
+      "answer": "sqrt(7)/3",
+      "fact_expr": "F1: Point;F2: Point;Focus(E) = {F1, F2};E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;PointOnCurve(A, E) = True;AngleOf(F1, A, F2) = ApplyUnit(120, degree);Abs(LineSegmentOf(A,F1)) = 2*Abs(LineSegmentOf(A,F2))",
+      "coords": {}
+    },
+    {
+      "index": 66,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0066.png",
+      "answer": "pi/4",
+      "fact_expr": "C: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(C) = (x^2/4 + y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, H);Intersection(H, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 67,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 68,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0068.png",
+      "answer": "32",
+      "fact_expr": "T: Parabola;Expression(T) = (y^2 = 8*x);F: Point;Focus(T) = F;l1: Line;l2: Line;PointOnCurve(F, l1);PointOnCurve(F, l2);IsPerpendicular(l1, l2);A: Point;B: Point;C: Point;D: Point;Intersection(l1, T) = {A, B};Intersection(l2, T) = {C, D};P: Point;Q: Point;MidPoint(LineSegmentOf(A, B)) = P;MidPoint(LineSegmentOf(C, D)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 69,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 70,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0070.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;l: Line;F1: Point;A: Point;B: Point;F2:Point;Expression(G) = (4*x^2 + y^2 = 1);Focus(G)={F1,F2};PointOnCurve(F1,l);Intersection(l,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 71,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.830951894845301,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 34.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0071.png",
+      "answer": "y^2/9 - x^2/16 = 1",
+      "fact_expr": "S: Hyperbola;G: Ellipse;Expression(G) = (x^2/9 + y^2/34 = 1);Focus(S)=Focus(G);Expression(OneOf(Asymptote(S)))=(y=(3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 72,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0072.png",
+      "answer": "pm*x - 2*y = 0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 73,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 74,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0074.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "C: Parabola;l: Line;Expression(C) = (y^2 = 4*x);Expression(l) = (2*x - y - 1 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 75,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0075.png",
+      "answer": "3*sqrt(2) - 1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;Expression(l) = (x - y + 5 = 0);P: Point;PointOnCurve(P, G) = True;d1: Number;Distance(P, yAxis) = d1;d2: Number;Distance(P,l) = d2",
+      "coords": {}
+    },
+    {
+      "index": 76,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 77,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 78,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 79,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0079.png",
+      "answer": "4/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;D: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(l, Directrix(C)) = D;MidPoint(LineSegmentOf(A, D)) = F",
+      "coords": {}
+    },
+    {
+      "index": 80,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0080.png",
+      "answer": "5/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);P: Point;Q: Point;Intersection(H, G) = {P, Q};LineSegmentOf(P, F2) = LineSegmentOf(F1, F2);3*LineSegmentOf(P, F1) = 4*LineSegmentOf(Q, F1)",
+      "coords": {}
+    },
+    {
+      "index": 81,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0081.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 82,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0082.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 83,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.708203932499369,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 45.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0083.png",
+      "answer": "[-7,8]",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/45 + y^2/20 = 1);PointOnCurve(P, G) = True;Quadrant(P) = 3;J1: Point;J2: Point;Focus(G) = {J1, J2};IsPerpendicular(LineSegmentOf(P, J1), LineSegmentOf(P, J2)) = True;H: Line;Expression(H) = (-2*m + 4*x - 3*y + 1 = 0);Negation(Distance(P, H) > 3);m: Real",
+      "coords": {}
+    },
+    {
+      "index": 84,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0084.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x - 2*y + 2 = 0);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(OneOf(Vertex(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 85,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0085.png",
+      "answer": "x^2/5-y^2/4=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;C: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C) = (-6*x + x^2 + y^2 + 5 = 0);IsTangent(Asymptote(G),C);Center(C)=RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 86,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0086.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,C);Abs(VectorOf(P,F1)+VectorOf(P,F2))=Abs(VectorOf(F1,F2));Abs(VectorOf(P, F1)) = 2*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 87,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0087.png",
+      "answer": "(5*sqrt(5))/2",
+      "fact_expr": "H: Point;Coordinate(H) = (1, 0);l: Line;PointOnCurve(H, l);G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Coordinate(C) = (-1, -1);IsPerpendicular(LineSegmentOf(C, A), LineSegmentOf(C, B))",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ],
+        "C": [
+          -1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 88,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0088.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "C: Parabola;N: Point;O: Origin;M: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = M;PointOnCurve(N, C);lambda:Number;Abs(VectorOf(M,N))=lambda*Abs(VectorOf(N,F));WhenMax(lambda)",
+      "coords": {}
+    },
+    {
+      "index": 89,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0089.png",
+      "answer": "{0,pm*1/2}",
+      "fact_expr": "l: Line;G: Parabola;k: Real;Expression(G) = (y^2 = x);Expression(l) = (y = k*(x + 1));NumIntersection(l,G)=1",
+      "coords": {}
+    },
+    {
+      "index": 90,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0090.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Line;O: Origin;A: Point;B: Point;C: Point;Expression(G) = (x^2/12 - y^2/3 = 1);Expression(H) = (y = x*(sqrt(3)/3) - 2);Intersection(H, RightPart(G)) = {A, B};PointOnCurve(C, RightPart(G));VectorOf(O, A) + VectorOf(O, B) = t*VectorOf(O, C);t:Number",
+      "coords": {}
+    },
+    {
+      "index": 91,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 92,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0092.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/3 - y^2 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 93,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 94,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0094.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;A: Point;B: Point;M: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (2, 2);Focus(C) = F;PointOnCurve(A, C);PointOnCurve(B, C);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 95,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 96,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0096.png",
+      "answer": "32/3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(F, G);Intersection(G, l) = A;OneOf(Intersection(G, C)) = B;VectorOf(F, A) = -3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 97,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 98,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0098.png",
+      "answer": "x^2+y^2/(2/3)=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C) = sqrt(3)/3;l: Line;PointOnCurve(F2, l);A: Point;B: Point;Intersection(l, C) = {A, B};Perimeter(TriangleOf(A, F1, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 99,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0099.png",
+      "answer": "3/2 - sqrt(2)",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (0, 1);Focus(G) = F;Intersection(LineSegmentOf(F, M), G) = A",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 100,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 101,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0101.png",
+      "answer": "4/5",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;I: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Incenter(TriangleOf(P, F1, F2)) = I;Area(TriangleOf(I,P,F2))=Area(TriangleOf(I,P,F1))-lambda*Area(TriangleOf(I,F1,F2));lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 102,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0102.png",
+      "answer": "48",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 12*y);H: Line;PointOnCurve(Focus(G), H);Inclination(H) = ApplyUnit(60, degree);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 103,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0103.png",
+      "answer": "(x - 3/2)^2 + y^2 = 1/4",
+      "fact_expr": "B: Point;Coordinate(B) = (3, 0);A: Point;G: Circle;Expression(G) = (x^2 + y^2 = 1);PointOnCurve(A, G) = True;M: Point;MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 104,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0104.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "l: Line;E: Ellipse;b: Number;a: Number;A: Point;F: Point;B: Point;O:Origin;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(E) = F;Eccentricity(E)=sqrt(3)/2;PointOnCurve(O,l);Inclination(l)=pi/3;Intersection(l,E)={A,B};Perimeter(TriangleOf(A, F, B))=4+(8*sqrt(13)/13)",
+      "coords": {}
+    },
+    {
+      "index": 105,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0105.png",
+      "answer": "5*sqrt(2)/2-1",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;L1:Line;L2:Line;Expression(G) = (y^2 = 4*x);Expression(H) = (x - y + 4 = 0);PointOnCurve(P, G);PointOnCurve(P,L1);PointOnCurve(P,L2);IsPerpendicular(L1,yAxis);IsPerpendicular(L2,H);FootPoint(L1,yAxis)=A;FootPoint(L2,H)=B",
+      "coords": {}
+    },
+    {
+      "index": 106,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0106.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (x^2/4 - y^2/3 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1, H);Intersection(H, LeftPart(G)) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 107,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 108,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 109,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          2.0
+        ],
+        "radius": 3.872983346207417
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0109.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/a = 1);a: Number;H: Circle;Expression(H) = (-4*y - 2*x + x^2 + y^2 - 10 = 0);PointOnCurve(Center(H), Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 110,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0110.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;B: Point;C: Point;A: Point;Expression(G) = (x^2/3 + y^2 = 1);PointOnCurve(F2,LineSegmentOf(B,C));PointOnCurve(B, G);PointOnCurve(C, G);F1:Point;F2:Point;Focus(G)={F1,F2};A=F1",
+      "coords": {}
+    },
+    {
+      "index": 111,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0111.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Parabola;B: Point;A: Point;F: Point;Expression(C) = (y = x^2/4);Focus(C) = F;PointOnCurve(F, l);Inclination(l)=pi/4;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 112,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 113,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 114,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0114.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = ApplyUnit(120, degree);IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = M;M: Point;L: Line;PointOnCurve(M, L);IsPerpendicular(L, l);Directrix(G) = l;l: Line;FootPoint(L, l) = M1;M1: Point",
+      "coords": {}
+    },
+    {
+      "index": 115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0115.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;p: Number;F: Point;P: Point;A: Point;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (4, 2);Coordinate(F) = (1, 0);PointOnCurve(P, C);Focus(C) = F",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ],
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 116,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0116.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;P: Point;P0: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (0, 3*b);PointOnCurve(P, l);L1: Line;OneOf(Asymptote(C)) = L1;Slope(L1) > 0;IsParallel(l, L1);PointOnCurve(P0, RightPart(C));Distance(P0, l) > b",
+      "coords": {}
+    },
+    {
+      "index": 117,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0117.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F:Point;Expression(G) = (y^2 = 4*x);Inclination(l)=ApplyUnit(45,degree);Focus(G)=F;PointOnCurve(F,l);Intersection(l,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 118,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0118.png",
+      "answer": "[sqrt(2)/2, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(G) = {F1, F2};Z1: Line;Z2: Line;Directrix(G) = {Z1, Z2};M: Point;N: Point;Intersection(Z1, xAxis) = M;Intersection(Z2, xAxis) = N;LineSegmentOf(M, N) <= 2*LineSegmentOf(F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 119,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0119.png",
+      "answer": "x = -4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);H: Point;Coordinate(H) = (4, 0);PointOnCurve(H, G) = True;G: Line;Intersection(G, C) = {A, B};A: Point;B: Point",
+      "coords": {
+        "H": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 120,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0120.png",
+      "answer": "{(1/3,+oo),(-oo,-1/3)}",
+      "fact_expr": "G: Hyperbola;k: Real;H: Circle;Expression(G) = (-1/(4*k^2)*y^2 + x^2/((9*k^2)) = 1);Expression(H) = (x^2 + y^2 = 1);NumIntersection(G, H)=0",
+      "coords": {}
+    },
+    {
+      "index": 121,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0121.png",
+      "answer": "5/7",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;M: Point;F2: Point;F1: Point;N: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, C) = {M, N};Abs(LineSegmentOf(M, F2)) = Abs(LineSegmentOf(F1, F2));7*Abs(LineSegmentOf(M, F1)) = 4*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 122,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0122.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 32",
+      "coords": {}
+    },
+    {
+      "index": 123,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0123.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 124,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0124.png",
+      "answer": "pm*sqrt(3)*a",
+      "fact_expr": "G: Parabola;a: Number;a>0;Expression(G) = (y^2 = 2*(a*x));H:Point;PointOnCurve(H,G);Distance(H,Focus(G))=2*a",
+      "coords": {}
+    },
+    {
+      "index": 125,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0125.png",
+      "answer": "(0,pm*1)",
+      "fact_expr": "G: Ellipse;F1: Point;A: Point;F2: Point;B: Point;Expression(G) = (x^2/3 + y^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(A,G);PointOnCurve(B,G);VectorOf(F1, A) = 5*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 126,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0126.png",
+      "answer": "-4",
+      "fact_expr": "l: Line;p: Number;A: Point;B: Point;p>0;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), l);Intersection(l, G) = {A, B};G: Parabola",
+      "coords": {}
+    },
+    {
+      "index": 127,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0127.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);L: Line;PointOnCurve(P, L);IsPerpendicular(L, Directrix(G));FootPoint(L, Directrix(G)) = M;Abs(LineSegmentOf(P, M)) = 5;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 128,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 129,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0129.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;O: Origin;M: Point;PointOnCurve(M, LeftPart(G));Abs(LineSegmentOf(O, M)) = sqrt(a^2 + b^2);4*Abs(LineSegmentOf(M, F1)) = 3*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 130,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 131,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 132,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 133,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0133.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 134,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 135,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0135.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;B: Point;A: Point;J: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 1);Coordinate(J) = (1, 1/2);PointOnCurve(Focus(G), xAxis);L1:Line;L2:Line;TangentOfPoint(J,H)={L1,L2};TangentPoint(L1,H)=A;TangentPoint(L2,H)=B;PointOnCurve(RightFocus(G),LineOf(A,B));PointOnCurve(UpperVertex(G),LineOf(A,B))",
+      "coords": {
+        "J": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 136,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0136.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F,G) = True;Intersection(G, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 137,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0137.png",
+      "answer": "x + 2*y - 2 = 0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);P: Point;Coordinate(P) = (1, 1/2);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 138,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0138.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;A: Point;B: Point;L: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F, L);IsPerpendicular(L, Asymptote(C));FootPoint(L, Asymptote(C)) = A;Intersection(L, yAxis) = B;VectorOf(F, A) = 2*VectorOf(A, B)",
+      "coords": {}
+    },
+    {
+      "index": 139,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0139.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Real;G: Circle;l:Line;A: Point;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Directrix(C)=l;Intersection(l,xAxis)=A;PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F),xAxis);IsDiameter(LineSegmentOf(A,F),G);Length(InterceptChord(LineOf(A,P),G))=2",
+      "coords": {}
+    },
+    {
+      "index": 140,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0140.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/7 - y^2/9 = -1)",
+      "coords": {}
+    },
+    {
+      "index": 141,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 142,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0142.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, C) = True;Quadrant(P) = 1;PointOnCurve(P, G) = True;IsPerpendicular(G, l) = True;G: Line;FootPoint(G, l) = M;M: Point;Slope(LineOf(P, F)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 143,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0143.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);P: Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 144,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0144.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(Directrix(G)) = (x = -1)",
+      "coords": {}
+    },
+    {
+      "index": 145,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0145.png",
+      "answer": "(3, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x)",
+      "coords": {}
+    },
+    {
+      "index": 146,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0146.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;LeftFocus(G) = F1;O: Origin;P: Point;PointOnCurve(P, G);Q: Point;PointOnCurve(Q, RightDirectrix(G));VectorOf(P, Q) = 2*VectorOf(F1, O);lambda: Number;lambda>0;VectorOf(F1, Q) = lambda*(VectorOf(F1, O)/Abs(VectorOf(F1, O)) + VectorOf(F1, P)/Abs(VectorOf(F1, P)))",
+      "coords": {}
+    },
+    {
+      "index": 147,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0147.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H) = True;Intersection(H, G) = {P, Q};P: Point;Q: Point;IsPerpendicular(LineSegmentOf(P, H1), Directrix(G)) ;IsPerpendicular(LineSegmentOf(P, H2), Directrix(G)) ;FootPoint(LineSegmentOf(P, H1), Directrix(G)) = H1;FootPoint(LineSegmentOf(P, H2), Directrix(G)) = H2;PointOnCurve(P, LineSegmentOf(P, H1));PointOnCurve(Q, LineSegmentOf(P, H2));H1: Point;H2: Point;MidPoint(LineSegmentOf(H1, H2)) = M;M: Point;Abs(LineSegmentOf(P, F)) = a;a: Number;Abs(LineSegmentOf(Q, F)) = b;b: Number",
+      "coords": {}
+    },
+    {
+      "index": 148,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0148.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/6 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 149,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0149.png",
+      "answer": "2*x+4*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;Expression(G) = (x^2/2 + y^2 = 1);Coordinate(MidPoint(H)) = (1/2, 1/2);IsChordOf(H,G) = True",
+      "coords": {}
+    },
+    {
+      "index": 150,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0150.png",
+      "answer": "2",
+      "fact_expr": "G: Line;Expression(G) = (2*x + y - 3 = 0);Gamma: Parabola;Expression(Gamma) = (y^2 = 8*x);A: Point;B: Point;Intersection(G, Gamma) = {A, B};H: Circle;PointOnCurve(A, H);PointOnCurve(B, H);C: Point;D: Point;Intersection(H, Gamma) = {C, D};k: Number;Slope(LineOf(C, D)) = k",
+      "coords": {}
+    },
+    {
+      "index": 151,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0151.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "O: Origin;F: Point;Vertex(G) = O;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 2*x);M: Point;PointOnCurve(M, G)",
+      "coords": {}
+    },
+    {
+      "index": 152,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0152.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (2*x + x^2 + y^2 - 3 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 153,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 154,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0154.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 155,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0155.png",
+      "answer": "(1, sqrt(3))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Circle;Expression(H) = (y^2 + (x - sqrt(3))^2 = 2);IsIntersect(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 156,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0156.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l) = True;Inclination(l) = pi/4;Intersection(l,G) = {A,B};A: Point;B: Point;IsDiameter(LineSegmentOf(A,B),H) = True;H: Circle;PointOnCurve(I,H) = True;I: Point;Coordinate(I) = (-p/2, 2)",
+      "coords": {}
+    },
+    {
+      "index": 157,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0157.png",
+      "answer": "(4/9)*x^2 - x^2/4 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;A: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(A) = (2*sqrt(3), -3);PointOnCurve(A, C);Asymptote(C) = Asymptote(G)",
+      "coords": {
+        "A": [
+          3.4641016151377544,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 158,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 159,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0159.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = x/2)",
+      "coords": {}
+    },
+    {
+      "index": 160,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 161,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 162,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 163,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0163.png",
+      "answer": "[sqrt(3),+oo)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;F2: Point;F1: Point;PointOnCurve(P,C) = True;P: Point;DotProduct(VectorOf(P,F1),VectorOf(P,F2)) = -2*a^2",
+      "coords": {}
+    },
+    {
+      "index": 164,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0164.png",
+      "answer": "x^2/9+y^2/5=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);Vertex(G) = Focus(H);Focus(G) = Vertex(H);H: Ellipse",
+      "coords": {}
+    },
+    {
+      "index": 165,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0165.png",
+      "answer": "5/2",
+      "fact_expr": "C: Ellipse;M: Point;F: Point;O: Point;N: Point;Expression(C) = (x^2/25 + y^2/9 = 1);LeftFocus(C) = F;PointOnCurve(M, C);MidPoint(LineSegmentOf(M, F)) = N;Center(C) = O;LineSegmentOf(O, N) = 4",
+      "coords": {}
+    },
+    {
+      "index": 166,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0166.png",
+      "answer": "{4, sqrt(34)}",
+      "fact_expr": "G: Ellipse;m: Real;m>0;Expression(G) = (x^2/25 + y^2/m^2 = 1);FocalLength(G)=6",
+      "coords": {}
+    },
+    {
+      "index": 167,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0167.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/12 + y^2/3 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 168,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0168.png",
+      "answer": "x^2/72+y^2/36=1",
+      "fact_expr": "M: Ellipse;b: Number;a: Number;G: Line;A: Point;B: Point;F: Point;D: Point;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-c, 0);Coordinate(D) = (-4, 2);Eccentricity(M) = sqrt(2)/2;LeftFocus(M)=F;PointOnCurve(F, G);Intersection(G, M) = {A, B};IsChordOf(LineSegmentOf(A, B),M);MidPoint(LineSegmentOf(A, B)) = D;c:Number",
+      "coords": {
+        "D": [
+          -4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 169,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0169.png",
+      "answer": "8/5",
+      "fact_expr": "A: Point;Coordinate(A) = (4, 0);C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;0 < p;p < 4;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, H), l) = True;FootPoint(LineSegmentOf(P, H), l) = H;H: Point;Abs(LineSegmentOf(P, H)) = Abs(LineSegmentOf(P, A));AngleOf(A, P, H) = ApplyUnit(120, degree)",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0170.png",
+      "answer": "-7*sqrt(15)/17",
+      "fact_expr": "C1: Hyperbola;C2: Circle;A: Point;B: Point;F2: Point;F1: Point;m: Number;m > 0;Expression(C1) = (x^2/9 - y^2/m = 1);LeftFocus(C1) = F1;RightFocus(C1) = F2;Expression(Asymptote(C1)) = (sqrt(7)*x + pm*3*y = 0);PointOnCurve(A, C2);Expression(C2) = (x^2 + y^2 = 16);VectorOf(F1, A) = VectorOf(A, B);PointOnCurve(B, RightPart(C1))",
+      "coords": {}
+    },
+    {
+      "index": 171,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0171.png",
+      "answer": "sqrt(2) / 2",
+      "fact_expr": "F1: Point;F2: Point;C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 172,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0172.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);IsChordOf(LineSegmentOf(A,B),G);Focus(G) = F;PointOnCurve(F,LineSegmentOf(A,B));Abs(LineSegmentOf(A, B)) = 8;XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 173,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 174,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0174.png",
+      "answer": "sqrt(10)/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Coordinate(F1) = (-1, 0);Coordinate(F2) = (1, 0);LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;Expression(G) = (x + y - 2 = 0);A: Point;PointOnCurve(A, G);PointOnCurve(A, C)",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 175,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0175.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;M: Point;x0:Number;Expression(G) = (y^2 = 4*x);Coordinate(M) = (x0, 2*sqrt(3));PointOnCurve(M,G)",
+      "coords": {}
+    },
+    {
+      "index": 176,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0176.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "P: Point;F1: Point;F2: Point;Focus(G) = {F1, F2};G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;PointOnCurve(P, G) = True;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 177,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 178,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0178.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;A1: Point;A2: Point;F: Point;P: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;LeftVertex(C) = A1;RightVertex(C) = A2;PointOnCurve(F, l);L1: Line;L2: Line;OneOf(Asymptote(C)) = L1;OneOf(Asymptote(C)) = L2;Negation(L1=L2);IsParallel(l, L1);Intersection(l, L2) = P;IsDiameter(LineSegmentOf(A1, A2), G);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 179,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0179.png",
+      "answer": "y^2/4 - x^2/5 = 1",
+      "fact_expr": "C: Hyperbola;O: Origin;Center(C) = O;G: Parabola;Expression(G) = (y = x^2/12);OneOf(Focus(C)) = Focus(G);Expression(OneOf(Asymptote(C))) = (y = x*(2*sqrt(5)/5))",
+      "coords": {}
+    },
+    {
+      "index": 180,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/dev/hyperbola/problem_0180.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightVertex(G) = F;Expression(Asymptote(G)) = (y = pm*sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 181,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0181.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "G: Parabola;p: Number;H: Line;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 182,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 183,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0183.png",
+      "answer": "(3-sqrt(5))/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;B: Point;A: Point;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;UpperVertex(C) = B;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,LineSegmentOf(A,B));IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 184,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0184.png",
+      "answer": "2",
+      "fact_expr": "G: Point;Coordinate(G) = (2, 3);PointOnCurve(G, C);C: Hyperbola;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(C) = 4",
+      "coords": {
+        "G": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 185,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0185.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Slope(G) = sqrt(3);Intersection(G, C) = {A, B};Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 186,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0186.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*y);F: Point;Focus(C) = F;P: Point;y0: Number;Coordinate(P) = (1, y0);PointOnCurve(P, C);A: Point;l: Line;TangentOnPoint(P,C)=l;Intersection(l, yAxis) = A",
+      "coords": {}
+    },
+    {
+      "index": 187,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0188.png",
+      "answer": "(1/8,-1)",
+      "fact_expr": "P: Point;Coordinate(P) = (4, -1);G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;M: Point;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(M, P)) + Abs(LineSegmentOf(M, F)))",
+      "coords": {
+        "P": [
+          4.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 189,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0189.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "F: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;OneOf(Focus(C)) = F;P: Point;PointOnCurve(P, C);MidPoint(LineSegmentOf(P, F)) = OneOf(Endpoint(ImageinaryAxis(C)))",
+      "coords": {}
+    },
+    {
+      "index": 190,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 191,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0191.png",
+      "answer": "11/2",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;F: Point;B: Point;m>0;Expression(C) = (y^2 = 4*x);Coordinate(M) = (m, 0);Focus(C)=F;PointOnCurve(F, G);Intersection(G, C) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B);Abs(VectorOf(M, F)) = Abs(VectorOf(M, A));m:Number",
+      "coords": {}
+    },
+    {
+      "index": 192,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0192.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);A: Point;P: Point;F1: Point;Coordinate(A) = (-1, 3);LeftFocus(G) = F1;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 193,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 194,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0194.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (4, 1);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 195,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 196,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0196.png",
+      "answer": "6",
+      "fact_expr": "C: Ellipse;A: Point;B: Point;F: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftVertex(C) = A;UpperVertex(C) = B;RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 197,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0197.png",
+      "answer": "x^2/5 - y^2 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;A: Point;O: Origin;M: Point;N: Point;b>0;A0: Circle;Expression(C) = (x^2/5 - y^2/b^2 = 1);RightVertex(C) = A;Center(A0) = A;Radius(A0) = b;Intersection(A0, OneOf(Asymptote(C))) = {M, N};VectorOf(O, M) = (3/2)*VectorOf(O, N)",
+      "coords": {}
+    },
+    {
+      "index": 198,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0198.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;P: Point;A: Point;a > b;b > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0, 2);Coordinate(F) = (-sqrt(5), 0);LeftFocus(G) = F;PointOnCurve(P, RightPart(G));Min(Perimeter(TriangleOf(P, A, F))) = 8",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ],
+        "F": [
+          -2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 199,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 200,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0200.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;C: Point;D: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(C) = (0, 3);Coordinate(D) = (4, 0);PointOnCurve(C,H);Intersection(H,G)={A,B};PointOnCurve(D,PerpendicularBisector(LineSegmentOf(A,B)));Focus(G)=F",
+      "coords": {
+        "C": [
+          0.0,
+          3.0
+        ],
+        "D": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 201,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0201.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 202,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0203.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/b^2 = 1);b: Number;e: Number;Eccentricity(G) = e;e = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 204,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 205,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 206,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0206.png",
+      "answer": "4",
+      "fact_expr": "l: Line;Slope(l) > 0;Sin(Inclination(l)) = sqrt(2)/2;Intercept(l, xAxis) = -2;Intersection(l, C) = {A, B};A: Point;B: Point;C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p>0;Abs(LineSegmentOf(A, B)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 207,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0207.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;m: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/(m^2 + 4) + y^2/m^2 = 1);Focus(H) = Focus(G);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 208,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 209,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0209.png",
+      "answer": "{(1,4)+(4,oo)}",
+      "fact_expr": "G: Ellipse;n: Number;H: Line;k: Real;Expression(G) = (x^2/4 + y^2/n = 1);Expression(H) = (y = k*x + 1);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 210,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0210.png",
+      "answer": "(1,sqrt(10)/2]",
+      "fact_expr": "Gamma: Ellipse;H: Circle;I: Line;N: Point;M: Point;O:Origin;Expression(I) = (x + y = 1);Expression(Gamma) = (y^2/b^2 + x^2/a^2 = 1);Intersection(I, Gamma) = {M, N};IsDiameter(LineSegmentOf(M,N),H);PointOnCurve(O,H);Negation(Eccentricity(Gamma)>sqrt(3)/2);a:Number;b:Number;a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 211,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0211.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Circle;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(M) = (y^2 + (x - 2)^2 = 3);IsTangent(Asymptote(C),M);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 212,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0212.png",
+      "answer": "(pm*sqrt(7), 0)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (3*x^2 - 4*y^2 = 12)",
+      "coords": {}
+    },
+    {
+      "index": 213,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 214,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0214.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/9 + y^2/16 = 1);F: Point;RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 215,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 216,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0216.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);M: Point;PointOnCurve(M, C);Distance(M, RightFocus(C)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 217,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0217.png",
+      "answer": "1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;C: Point;D: Point;PointOnCurve(Focus(G), LineSegmentOf(A, B));PointOnCurve(Focus(G), LineSegmentOf(C, D));IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(C, D));IsChordOf(LineSegmentOf(A, B), G);IsChordOf(LineSegmentOf(C, D), G)",
+      "coords": {}
+    },
+    {
+      "index": 218,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0218.png",
+      "answer": "4/5",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;B: Point;Q: Point;M: Point;N: Point;Expression(C) = (x^2/4 + y^2 = 1);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(M, xAxis);l:Line;PointOnCurve(M,l);Intersection(l, C) = {P, Q};l1:Line;PointOnCurve(M, l1);IsPerpendicular(l1,LineSegmentOf(A, P));Intersection(l1, LineSegmentOf(B, Q)) = N;IsPerpendicular(l,xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 219,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 220,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/dev/hyperbola/problem_0220.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2 - y^2/m = 1);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 221,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0221.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "H: Line;Slope(H) = 2;G: Parabola;Expression(G) = (y^2 = a*x);a: Number;a>0;F: Point;Focus(G) = F;PointOnCurve(F, H) = True;Intersection(H, yAxis) = A;O: Origin;A: Point;Area(TriangleOf(O, A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 222,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 223,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0223.png",
+      "answer": "-3",
+      "fact_expr": "l: Line;G: Parabola;O: Origin;A: Point;B: Point;Expression(G) = (y = x^2);Expression(l) = (y=2*x+m);TangentPoint(l,G)=A;Intersection(l, yAxis) = B;m: Number",
+      "coords": {}
+    },
+    {
+      "index": 224,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0224.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 225,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0225.png",
+      "answer": "[-sqrt(5),sqrt(5)]",
+      "fact_expr": "G: Ellipse;x: Real;Expression(G) = (x^2/5 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 226,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0226.png",
+      "answer": "1/4",
+      "fact_expr": "G: Hyperbola;B: Point;A: Point;Expression(G) = (x^2/4 - y^2 = 1);PointOnCurve(A,Asymptote(G));PointOnCurve(B,Asymptote(G));Coordinate(MidPoint(LineSegmentOf(A,B)))=(2,2)",
+      "coords": {}
+    },
+    {
+      "index": 227,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0227.png",
+      "answer": "y^2=-12*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/4 - y^2/5 = 1);LeftFocus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 228,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0228.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, RightPart(G));F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 229,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 230,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0230.png",
+      "answer": "{(0,-1),(-12/11,-7/11)}",
+      "fact_expr": "Gamma: Ellipse;H: Line;A: Point;C: Point;B: Point;Expression(H) = (x - 3*y + 1 = 0);Expression(Gamma)=(x^2/2+y^2=1);Intersection(H,Gamma)={A,B};PointOnCurve(C,Gamma);AngleOf(A, C, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 231,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0231.png",
+      "answer": "{x^2=-8*y,y^2=16*x}",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;Expression(H) = (x - 2*y - 4 = 0);Vertex(G) = O;PointOnCurve(Focus(G), H);SymmetryAxis(G)=axis",
+      "coords": {}
+    },
+    {
+      "index": 232,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0232.png",
+      "answer": "x^2/18-y^2/2=1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/5 = 1);G: Hyperbola;Focus(H) = Focus(G);I: Point;Coordinate(I) = (-3*sqrt(2), 0);PointOnCurve(I, G)",
+      "coords": {
+        "I": [
+          -4.242640687119286,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 233,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 234,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0234.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "L: Line;Slope(L) = sqrt(2)/2;G: Ellipse;Expression(G) = (x^2 + y^2/b^2 = 1);b: Number;b>0;PointOnCurve(Focus(G), xAxis);P: Point;Q: Point;Negation(P=Q);Intersection(L, G) = {P, Q};F1: Point;F2: Point;Focus(G) = {F1, F2};Projection(P, xAxis) = F1;Projection(Q, xAxis) = F2",
+      "coords": {}
+    },
+    {
+      "index": 235,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0235.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/9 + x^2/a^2 = 1);a: Number;a>3;F2: Point;F1: Point;Focus(G) = {F1,F2};A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G) = True;Abs(LineSegmentOf(F1,F2)) = 8;PointOnCurve(F1, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 236,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 237,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.5030499696731567,
+        "b": 2.00545072555542,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3176339734854992e-06,
+        "converged": true,
+        "iterations": 109
+      },
+      "output_path": "results/dev/hyperbola/problem_0237.png",
+      "answer": "y = pm*(4/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 5/3",
+      "coords": {}
+    },
+    {
+      "index": 238,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 239,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0239.png",
+      "answer": "3/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/8 + y^2/6 = 1);P: Point;Coordinate(P) = (-2, 1);l: Line;PointOnCurve(P, l);A: Point;B: Point;Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 240,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0240.png",
+      "answer": "5/7",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Distance(F2, LineOf(P, F1)) = Length(MinorAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 241,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0241.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G)=F1;PointOnCurve(F1, H);Intersection(H, G)={A,B};RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 242,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 243,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0243.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 244,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0244.png",
+      "answer": "5",
+      "fact_expr": "C: Ellipse;a: Number;P: Point;F1: Point;F2: Point;a>0;Expression(C) = (y^2/16 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Perimeter(TriangleOf(P, F1, F2)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 245,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0245.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;M: Point;Intersection(Directrix(G), xAxis) = M;P: Point;PointOnCurve(P, G);Q: Point;MidPoint(LineSegmentOf(P, F)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 246,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0246.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "G: Parabola;H: Ellipse;b: Number;a: Number;Expression(G) = (y^2 = 4*(sqrt(3)*x));a>0;b>0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(OneOf(Focus(H)), Directrix(G));Length(MajorAxis(H)) = 2*Length(MinorAxis(H))",
+      "coords": {}
+    },
+    {
+      "index": 247,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 248,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0248.png",
+      "answer": "x^2/16+y^2/4=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(G) = sqrt(3)/2;H: Line;Slope(H) = 1;M: Point;Coordinate(M) = (b, 0);PointOnCurve(M, H);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;DotProduct(VectorOf(O, A), VectorOf(O, B)) = 32/(5*Tan(AngleOf(A, O, B)))",
+      "coords": {}
+    },
+    {
+      "index": 249,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 250,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0250.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p > 0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 251,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0251.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;B: Point;C: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, l);Slope(l) > 0;Intersection(l, G) = {A, B};Quadrant(A) = 1;Intersection(l,Directrix(G)) = C;Abs(LineSegmentOf(B, C)) = 3*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 252,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0252.png",
+      "answer": "y = x - 1",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;k: Number;k > 0;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Slope(l) = k;Intersection(l, C) = {A, B};LineSegmentOf(A, B) = 8",
+      "coords": {}
+    },
+    {
+      "index": 253,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0253.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;G: Circle;M: Point;A: Point;B: Point;F: Point;a: Number;b: Number;Expression(C) = (y^2 = 4*x);Coordinate(M) = (a, b);PointOnCurve(M, C);Focus(C) = F;Distance(M, F) = 5;Center(G) = M;PointOnCurve(F, G);Intersection(G, yAxis) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 254,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0254.png",
+      "answer": "4",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/5 + (16*y^2)/p^2 = 1);p: Number;G: Parabola;Expression(G) = (y^2 = 2*p*x);PointOnCurve(LeftFocus(H), Directrix(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 255,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0255.png",
+      "answer": "[sqrt(10), +oo)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/b^2 = 1);b: Number;b >= 9",
+      "coords": {}
+    },
+    {
+      "index": 256,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0256.png",
+      "answer": "9*sqrt(3)/4",
+      "fact_expr": "C: Parabola;A: Point;F: Point;O: Origin;N: Point;l: Line;Expression(C) = (y^2 = 6*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(A, C);Distance(A, l) = 6;Intersection(PerpendicularBisector(LineSegmentOf(A, F)), l) = N",
+      "coords": {}
+    },
+    {
+      "index": 257,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0257.png",
+      "answer": "-10",
+      "fact_expr": "l: Line;C: Ellipse;F: Point;M: Point;B: Point;A: Point;Expression(C) = (x^2/5 + y^2 = 1);RightFocus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(l, yAxis) =M;PointOnCurve(B, LineSegmentOf(F,M))",
+      "coords": {}
+    },
+    {
+      "index": 258,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0258.png",
+      "answer": "((x-2)^2 + y^2 = 4)&Negation(x = 4)",
+      "fact_expr": "L: Line;O: Circle;M: Point;N: Point;G: Point;Expression(O) = (x^2 + y^2 = 36);Expression(L) = (y = k*(x - 4));Intersection(L, O) = {M, N};MidPoint(LineSegmentOf(M, N)) = G",
+      "coords": {}
+    },
+    {
+      "index": 259,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0259.png",
+      "answer": "[2, 2*sqrt(2))",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);0<x0^2/2+y0^2;x0^2/2+y0^2<1",
+      "coords": {}
+    },
+    {
+      "index": 260,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 6.928203230275509,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0260.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Circle;E: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2 - y^2/48 = 1);Expression(H) = (y^2 + (x + 7)^2 = 9);Expression(E) = ((x - 7)^2 + y^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, E)",
+      "coords": {}
+    },
+    {
+      "index": 261,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0261.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;H: Line;a: Number;Expression(G) = (x^2 - y^2/4 = 1);Expression(H) = (a*x + y + 2 = 0);l1: Line;OneOf(Asymptote(G)) = l1;IsParallel(H,l1)",
+      "coords": {}
+    },
+    {
+      "index": 262,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0262.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/100 + y^2/36 = 1);PointOnCurve(P, G);Distance(P,RightDirectrix(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 263,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0263.png",
+      "answer": "8",
+      "fact_expr": "F: Point;Focus(C) = F;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;G: Line;PointOnCurve(F, G);Inclination(G) = ApplyUnit(60, degree);Intersection(G, C) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, F)) - Abs(LineSegmentOf(B, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 264,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0264.png",
+      "answer": "40",
+      "fact_expr": "C: Parabola;p: Number;G: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (x + 2*y - 2 = 0);PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 265,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 266,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 267,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0267.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P: Point;Expression(G) = (x^2/4 + y^2/2 = 1);Coordinate(P) = (1, 1);IsChordOf(H, G);PointOnCurve(P, H);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 268,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 269,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0269.png",
+      "answer": "x^2+y^2=4",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (y^2 = 4*x);Center(H) = Vertex(G);Radius(H) = Distance(Focus(G), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 270,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0270.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;l: Line;Expression(l) = (x - 2*y - sqrt(5) = 0);IsParallel(OneOf(Asymptote(G)), l) = True;PointOnCurve(OneOf(Focus(G)), l)",
+      "coords": {}
+    },
+    {
+      "index": 271,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0271.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "Gamma: Hyperbola;Expression(Gamma) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;M: Point;Coordinate(M) = (1, 1);H: Line;Slope(H) = 1/2;PointOnCurve(M, H);A: Point;B: Point;Intersection(H, Gamma) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 272,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0272.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;O: Origin;A: Point;PointOnCurve(A, E);AngleOf(F1, A, F2) = ApplyUnit(120, degree);Abs(LineSegmentOf(O, A)) = b",
+      "coords": {}
+    },
+    {
+      "index": 273,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 274,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0274.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;F: Point;A: Point;P: Point;l: Line;Expression(G) = (y^2 = 8*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, A), l);FootPoint(LineSegmentOf(P, A), l) = A;Slope(LineOf(A, F)) = -sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 275,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0275.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;k: Number;A: Point;F1: Point;B: Point;F2: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = k*x);LeftFocus(C) = F1;RightFocus(C) = F2;Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(B, F1));AngleOf(F1, A, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 276,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 277,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0277.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;A: Point;B: Point;O: Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(P, G);Negation(A = B);Negation(A = P);Negation(B = P);PointOnCurve(O, LineSegmentOf(A, B));kPA: Number;kPB: Number;Slope(LineOf(P, A)) = kPA;Slope(LineOf(P, B)) = kPB;kPA*kPB = 3",
+      "coords": {}
+    },
+    {
+      "index": 278,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0278.png",
+      "answer": "(3/2,17/8)",
+      "fact_expr": "M: Point;Coordinate(M) = (3/2, -1);l:Line;C:Parabola;Expression(C)=(x^2=4*y);A: Point;B: Point;PointOnCurve(Focus(C),l);Intersection(l,C)={A,B};IsTangent(LineSegmentOf(A,M),C)",
+      "coords": {
+        "M": [
+          1.5,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 279,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0279.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2=4*x);H: Point;Coordinate(H) = (1, 0);L: Line;PointOnCurve(H,L) = True;Intersection(L,G) = {P,Q};P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;Q: Point;Coordinate(Q) = (x2,y2);x2: Number;y2: Number",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 280,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0280.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);C: Circle;Expression(C) = ((x + 3)^2 + (y - 3)^2 = 1);P: Point;Q: Point;R: Point;PointOnCurve(P, G);PointOnCurve(Q, C);Projection(P, yAxis) = R",
+      "coords": {}
+    },
+    {
+      "index": 281,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 282,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0282.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;M: Circle;r: Number;P: Point;A: Point;B: Point;Expression(C) = (x^2/8 + y^2/2 = 1);0 < r;r < sqrt(2);Expression(M) = (-r^2 - 4*sqrt(2)*y + 2*(sqrt(2)*x) + x^2 + y^2 + 10 = 0);UpperVertex(C)=P;L1:Line;L2:Line;TangentOfPoint(P,M)={L1,L2};Intersection(L1,C)=A;Intersection(L2,C)=B;Negation(A=P);Negation(B=P)",
+      "coords": {}
+    },
+    {
+      "index": 283,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 284,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0284.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 285,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0285.png",
+      "answer": "x - y - 3 = 0",
+      "fact_expr": "G: Hyperbola;H: LineSegment;P: Point;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(P) = (4, 1);MidPoint(H) = P;IsChordOf(H, G)",
+      "coords": {
+        "P": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 286,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0287.png",
+      "answer": "x^2/9+y^2/8=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;C1: Circle;Expression(C1) = (x^2 + y^2 = 9);NumIntersection(C,C1) = 2;C2: Circle;Expression(C2) = (x^2 + y^2 = 8);NumIntersection(C,C2) = 2",
+      "coords": {}
+    },
+    {
+      "index": 288,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 289,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0289.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Circle;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(M) = (y^2 + (x - 3)^2 = 8);Intersection(OneOf(Asymptote(C)),M) = {A, B};Abs(LineSegmentOf(A, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 290,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0290.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/16 - y^2/9 = 1);RightVertex(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 291,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0291.png",
+      "answer": "10;y = pm*(4/3)*x;4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 292,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0292.png",
+      "answer": "(x^2+y^2=1)&(Negation(y=0))",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G));G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Q: Point;lambda: Number;DotProduct(VectorOf(Q, F2), (VectorOf(P, F1)/Abs(VectorOf(P, F1)) + VectorOf(P, F2)/Abs(VectorOf(P, F2)))) = 0;VectorOf(Q, P) + lambda*(VectorOf(P, F1)/Abs(VectorOf(P, F1)) + VectorOf(P, F2)/Abs(VectorOf(P, F2))) = 0",
+      "coords": {}
+    },
+    {
+      "index": 293,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0293.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;Q: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (-1, 0);Coordinate(B) = (1, 0);PointOnCurve(A, H);Intersection(H, G) = {P, Q};MidPoint(LineSegmentOf(A, Q)) = P",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ],
+        "B": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 294,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0294.png",
+      "answer": "[2, 2*sqrt(2)]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);0 < x0^2/2+y0^2;x0^2/2+y0^2 < 1",
+      "coords": {}
+    },
+    {
+      "index": 295,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 296,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 297,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0297.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 298,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0298.png",
+      "answer": "(1,2]",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G)=F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 299,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0299.png",
+      "answer": "y^2 - x^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (y^2 + x^2/a = 1);Expression(OneOf(Asymptote(G))) =  (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 300,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 3.1622776601683795,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0300.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 10)",
+      "coords": {}
+    },
+    {
+      "index": 301,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 302,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 303,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0303.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;c: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G) = {F1, F2};PointOnCurve(P, G);Area(TriangleOf(P, F1, F2)) = b^2*(sqrt(2)/2)",
+      "coords": {}
+    },
+    {
+      "index": 304,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0304.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;Q: Point;Expression(G) = (x^2 - y^2 = 1);PointOnCurve(OneOf(Focus(G)), H);IsPerpendicular(H, xAxis);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H,L1)=P;Intersection(H,L2)=Q",
+      "coords": {}
+    },
+    {
+      "index": 305,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0305.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;Abs(LineSegmentOf(A, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 306,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0306.png",
+      "answer": "(pm*2,0)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Length(RealAxis(C))=2;Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 307,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0307.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = pi/2;IsChordOf(LineSegmentOf(A, B), G);M: Point;MidPoint(LineSegmentOf(A, B)) = M;N: Point;Projection(M, Directrix(G)) = N",
+      "coords": {}
+    },
+    {
+      "index": 308,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0308.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/3 + y^2/2 = 1);l: Line;P: Point;Q: Point;F2: Point;F1: Point;Expression(l) = (x - 2*y + 1 = 0);LeftFocus(C) = F1;RightFocus(C) = F2;Intersection(l, C) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 309,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0309.png",
+      "answer": "[0, sqrt(2)]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 310,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0310.png",
+      "answer": "1",
+      "fact_expr": "l: Line;G: Ellipse;P: Point;Q: Point;A: Point;B: Point;O: Origin;m: Number;n: Number;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(P) = (1, 1);Coordinate(Q) = (m, n);PointOnCurve(P, l);Intersection(l, G) = {A, B};lambda: Number;VectorOf(A, P) = lambda*VectorOf(P, B);VectorOf(A, Q) = -lambda*VectorOf(Q, B)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 311,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0311.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);Distance(P, xAxis) = 8",
+      "coords": {}
+    },
+    {
+      "index": 312,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 313,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 314,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0314.png",
+      "answer": "2/a",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 315,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0315.png",
+      "answer": "3*x-4*y+7=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;Coordinate(P) = (-1, 1);H: LineSegment;IsChordOf(H, G);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0316.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;H: Line;M: Point;N: Point;F2: Point;F1: Point;Expression(G) = (x^2/16 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Intersection(H, G) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 317,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 318,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0318.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F2: Point;A: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = -(b/a)*x);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, RightPart(G));IsParallel(LineOf(A,F2),H);Perimeter(TriangleOf(A, F1, F2)) = 9*a",
+      "coords": {}
+    },
+    {
+      "index": 319,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 320,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0320.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/8 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 321,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0321.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;H: Line;F: Point;P: Point;Q: Point;Expression(G) = (x^2 - y^2 = 4);RightFocus(G)=F;PointOnCurve(F,H);Inclination(H)=ApplyUnit(105,degree);Intersection(H,G)={P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 322,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 323,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0323.png",
+      "answer": "12/13",
+      "fact_expr": "C: Hyperbola;P: Point;F2: Point;F1: Point;Expression(C) = (x^2/16 - y^2/20 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);LineSegmentOf(P, F2) = 5",
+      "coords": {}
+    },
+    {
+      "index": 324,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0324.png",
+      "answer": "64",
+      "fact_expr": "G: Parabola;H: Line;A: Point;O: Origin;B: Point;F: Point;Expression(G) = (y^2 = 16*x);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(30, degree);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 325,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 326,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0326.png",
+      "answer": "1/3",
+      "fact_expr": "H: Circle;Expression(H) = (y^2 + (x - 2)^2 = 1);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(OneOf(Vertex(G)), H);PointOnCurve(OneOf(Focus(G)), H);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 327,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0327.png",
+      "answer": "x=-4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;G: Line;Expression(G) = (x + 2*y - 4 = 0);PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/dev/hyperbola/problem_0328.png",
+      "answer": "x^2/3-y^2/6=1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};Eccentricity(C) = sqrt(3);P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 329,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0329.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;O: Origin;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);RightFocus(G) = Focus(H);Center(G) = O",
+      "coords": {}
+    },
+    {
+      "index": 330,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0330.png",
+      "answer": "5",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2=4*x);PointOnCurve(P,G) = True;F: Point;Focus(G) = F;A: Point;Coordinate(A) = (4,a);a: Number;Abs(a) < 4",
+      "coords": {}
+    },
+    {
+      "index": 331,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 332,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0332.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;O: Origin;B: Point;k1: Number;k2: Number;Expression(C) = (y^2 = 4*x);Intersection(C, l) = {A, B};Slope(LineOf(O, A)) = k1;Slope(LineOf(O, B)) = k2;k1*k2 = -2",
+      "coords": {}
+    },
+    {
+      "index": 333,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0333.png",
+      "answer": "(0,-2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -8*y)",
+      "coords": {}
+    },
+    {
+      "index": 334,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 335,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0335.png",
+      "answer": "(4, 4)",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 5;Quadrant(M)=1",
+      "coords": {}
+    },
+    {
+      "index": 336,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0336.png",
+      "answer": "(x - 1)^2 + (y + pm*2*sqrt(2))^2 = 9",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);A: Point;PointOnCurve(A, C) ;G: Circle;Center(G) = A;PointOnCurve(Vertex(C), G) ;PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 337,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0337.png",
+      "answer": "5/3\n4",
+      "fact_expr": "G: Hyperbola;e: Number;Expression(G) = (x^2/9 - y^2/16 = 1);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 338,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0338.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;B: Point;F: Point;a > 0;b > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;Slope(H) = 1;Intersection(H, RightPart(G)) = B;Projection(B, xAxis) = F;RightFocus(G) = F;PointOnCurve(A, H)",
+      "coords": {}
+    },
+    {
+      "index": 339,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0339.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (m, 4);PointOnCurve(A,G);m:Number",
+      "coords": {}
+    },
+    {
+      "index": 340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0340.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C1: Hyperbola;b: Number;a: Number;C2: Hyperbola;a>0;b>0;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);Expression(C2) = (y^2/b^2 - x^2/a^2 = 1);Eccentricity(C1) = 2",
+      "coords": {}
+    },
+    {
+      "index": 341,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0341.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;B: Point;A: Point;P:Point;Expression(G) = (y = x^2/16);PointOnCurve(A,G);PointOnCurve(B,G);Abs(LineSegmentOf(A, B)) = 24;MidPoint(LineSegmentOf(A,B))=P;WhenMin(Distance(P,xAxis))",
+      "coords": {}
+    },
+    {
+      "index": 342,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0342.png",
+      "answer": "-1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);l: Line;PointOnCurve(OneOf(Focus(G)), l);Inclination(l) = ApplyUnit(45, degree);A: Point;B: Point;Intersection(l, G) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 343,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0343.png",
+      "answer": "7",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x - 4)^2 = 4);G: Ellipse;Expression(G) = (x^2 + y^2/4 = 1);P: Point;Q: Point;PointOnCurve(P,C) = True;PointOnCurve(Q,G) = True",
+      "coords": {}
+    },
+    {
+      "index": 344,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0344.png",
+      "answer": "{y^2=8*x, y^2=-16*x}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = m*x);m: Number;H: Line;Expression(H) = (x = 1);Distance(Directrix(G), H) = 3",
+      "coords": {}
+    },
+    {
+      "index": 345,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0345.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (-y^2/3 + x^2/m = 1);Expression(OneOf(Asymptote(G))) = (y = x/2)",
+      "coords": {}
+    },
+    {
+      "index": 346,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 347,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0347.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/12 + y^2/9 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 348,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0348.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;L: Line;PointOnCurve(F,L)=True;IsPerpendicular(Asymptote(G),L)=True;FootPoint(Asymptote(G),L) = P;P: Point;PointOnCurve(MidPoint(LineSegmentOf(P,F)),G) = True",
+      "coords": {}
+    },
+    {
+      "index": 349,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 350,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0350.png",
+      "answer": "sqrt(10)/5",
+      "fact_expr": "l: Line;C: Parabola;E:Circle;E1: Point;O: Origin;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Coordinate(E1) = (1, 1);Slope(l)=1/3;Intersection(l,C)={A,B};Center(E)=E1;InscribedCircle(TriangleOf(O,A,B))=E",
+      "coords": {
+        "E1": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 351,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0351.png",
+      "answer": "x+2*y-2=0",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 1);H: LineSegment;G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);IsChordOf(H, G) = True;MidPoint(H) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 352,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0352.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 353,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0353.png",
+      "answer": "y=pm*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,C);DotProduct((VectorOf(O,P)+VectorOf(O,F2)),VectorOf(F2,P))=0;Abs(VectorOf(P, F1))*Abs(VectorOf(P, F2)) = 2*a^2",
+      "coords": {}
+    },
+    {
+      "index": 354,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 355,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0355.png",
+      "answer": "pm*(1/2)",
+      "fact_expr": "G: Line;Expression(G) = (y = k * (x + 1));C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;B: Point;Coordinate(B) = (x2, y2);x2: Number;y2: Number;Intersection(G, C) = {A, B};Focus(C) = F;F: Point;Abs(LineSegmentOf(F, A)) + Abs(LineSegmentOf(F, B)) = 16;k: Number",
+      "coords": {}
+    },
+    {
+      "index": 356,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0356.png",
+      "answer": "pm*sqrt(15)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;Q: Point;F: Point;P: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = P;Intersection(l, Directrix(C)) = Q;VectorOf(Q, F) = 3*VectorOf(F, P)",
+      "coords": {}
+    },
+    {
+      "index": 357,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0357.png",
+      "answer": "8/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Radius(InscribedCircle(TriangleOf(P, F1, F2))) = 1;Quadrant(P) = 1",
+      "coords": {}
+    },
+    {
+      "index": 358,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0358.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Line;A: Point;F: Point;B: Point;k:Number;Expression(C) = (y^2 = 4*x);k>0;Expression(G) = (y = k*(x - 2));Focus(C) = F;Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F))/Abs(LineSegmentOf(B, F)) = 2/5;Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 359,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0359.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(C) = F;H: Line;PointOnCurve(F, H);Z1: Line;Z2: Line;Asymptote(C) = {Z1, Z2};Q: Point;Intersection(H, Z1) = Q;P: Point;Intersection(H, Z2) = P;2*VectorOf(F, Q) = VectorOf(F, P);O: Origin;G: Circle;Center(G) = O;IsTangent(G, LineOf(F, P));TangentPoint(G, LineOf(F, P)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 360,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 361,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0361.png",
+      "answer": "y=3*x-2",
+      "fact_expr": "G: Curve;Expression(G) = (y = x^2);H: Point;Coordinate(H) = (1, 1)",
+      "coords": {
+        "H": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 362,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0362.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;M: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (7/2, 4);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          3.5,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 363,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0363.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 364,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0364.png",
+      "answer": "3*sqrt(2)/2",
+      "fact_expr": "l: Line;C: Curve;P: Point;Expression(C) = (x^2/3 + y^2 = 1);Expression(l) = (x + y + 1 = 0);PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 365,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0365.png",
+      "answer": "(1, 3*sqrt(2)/4]",
+      "fact_expr": "E: Hyperbola;a: Number;b: Number;C: Parabola;A: Point;P: Point;F: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C) = (y^2 = 8*(a*x));RightVertex(E) = A;Focus(C) = F;PointOnCurve(P, Asymptote(E));IsPerpendicular(VectorOf(A,P),VectorOf(F,P))",
+      "coords": {}
+    },
+    {
+      "index": 366,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0366.png",
+      "answer": "y^2=-8*x",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1);P: Point;Distance(P, LeftFocus(G)) = Distance(P, H);H: Line;Expression(H) = (x = 2)",
+      "coords": {}
+    },
+    {
+      "index": 367,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0367.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;A: Point;B: Point;O: Origin;a > b;b > 0;LeftVertex(G)=A;RightVertex(G)=B;P:Point;PointOnCurve(P, G);Negation(P=A);Negation(P=B);Slope(LineOf(P, A)) *Slope(LineOf(P, B)) = -1/2",
+      "coords": {}
+    },
+    {
+      "index": 368,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 369,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0369.png",
+      "answer": "sqrt(55)",
+      "fact_expr": "G: Parabola;M: Point;P0: Point;Expression(G) = (y^2 = 10*x);Coordinate(M) = (8, 0);PointOnCurve(P0, G)",
+      "coords": {
+        "M": [
+          8.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 370,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0370.png",
+      "answer": "y^2=20*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*m*x);m: Number;m>0;G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);Distance(Focus(H),OneOf(Asymptote(G))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 371,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0371.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;B: Point;k:Number;Expression(C) = (y^2 = 8*x);Coordinate(M) = (-2, 2);PointOnCurve(Focus(C), G);Slope(G) = k;Intersection(G, C) = {A, B};DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 372,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.06247315928339958,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0014067133888602257,
+        "converged": true,
+        "iterations": 338
+      },
+      "output_path": "results/dev/parabola/problem_0372.png",
+      "answer": "y=-1/16",
+      "fact_expr": "C: Parabola;G: Point;O: Origin;Coordinate(G) = (-1, 4);Vertex(C) = O;PointOnCurve(Focus(C), yAxis);PointOnCurve(G,C)",
+      "coords": {
+        "G": [
+          -1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 373,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0373.png",
+      "answer": "(1,sqrt(7)-1)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P,RightPart(C)) = True;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Circle;IsInscribedCircle(M,TriangleOf(P,F1,F2)) = True;A: Point;TangentPoint(LineSegmentOf(P, F1), M) = A;Abs(LineSegmentOf(P,A)) = c^2/2*a;c: Number;HalfFocalLength(C) = c;Abs(LineSegmentOf(P, F1))/Abs(LineSegmentOf(P, F2)) > 2",
+      "coords": {}
+    },
+    {
+      "index": 374,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0374.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, C) = {A, B};G: Circle;IsDiameter(LineSegmentOf(A, B), G);M: Point;Coordinate(M) = (-p/2, 3);TangentPoint(Directrix(C), G) = M;O: Origin;Area(TriangleOf(A, O, B)) = sqrt(13)",
+      "coords": {}
+    },
+    {
+      "index": 375,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0375.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Number;A: Point;F: Point;B: Point;p>0;Focus(H)=F;l:Line;PointOnCurve(F,l);IsParallel(l,OneOf(Asymptote(G)));Intersection(l,H)={A,B};Abs(LineSegmentOf(A, F)) > Abs(LineSegmentOf(B, F));Abs(LineSegmentOf(A, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 376,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0376.png",
+      "answer": "(sqrt(5)+1)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;L: Line;A: Point;B: Point;F: Point;O:Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F, L);IsPerpendicular(L,xAxis);Intersection(L, G) = {A, B};IsDiameter(LineSegmentOf(A,B),H);PointOnCurve(O,H)",
+      "coords": {}
+    },
+    {
+      "index": 377,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0377.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) = True;Distance(MidPoint(LineSegmentOf(A, B)), yAxis) = 1",
+      "coords": {}
+    },
+    {
+      "index": 378,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0378.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;G: Parabola;p: Number;M: Point;A: Point;b>0;Expression(C) = (x^2 - y^2/b^2 = 1);p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (1, y0);y0:Number;PointOnCurve(M, G);Distance(M, Focus(G)) = 5;LeftVertex(C) = A;IsPerpendicular(OneOf(Asymptote(C)),LineOf(A,M))",
+      "coords": {}
+    },
+    {
+      "index": 379,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 380,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0380.png",
+      "answer": "6",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (5, 0);RightFocus(C)=F;Distance(F,Asymptote(C))=4",
+      "coords": {
+        "F": [
+          5.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 381,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0381.png",
+      "answer": "x^2+(y-1)^2=10",
+      "fact_expr": "C: Circle;G: Parabola;Expression(G) = (x^2 = 4*y);Center(C) = Focus(G);H: Line;Expression(H) = (4*x - 3*y - 2 = 0);A: Point;B: Point;Intersection(H, C) = {A, B};Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 382,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/dev/hyperbola/problem_0382.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "C: Hyperbola;l: Line;OneOf(Asymptote(C)) = l;Expression(l) = (y = 2*x);Length(RealAxis(C)) < 4",
+      "coords": {}
+    },
+    {
+      "index": 383,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0383.png",
+      "answer": "sqrt(5)-1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;IsDiameter(LineSegmentOf(F1, F2), G) = True;G: Circle;Intersection(G, Asymptote(C)) = Q;Q: Point;Quadrant(P) = 1;Quadrant(Q) = 1;MidPoint(LineSegmentOf(Q, F2)) = P",
+      "coords": {}
+    },
+    {
+      "index": 384,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0384.png",
+      "answer": "y^2 = 12*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1);RightFocus(G) = Focus(H);H: Parabola",
+      "coords": {}
+    },
+    {
+      "index": 385,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0385.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;D: Point;OneOf(Vertex(ImageinaryAxis(C))) = D;G: Line;Expression(G) = (x = 2*a);A: Point;B: Point;Intersection(G, C) = {A, B};PointOnCurve(Orthocenter(TriangleOf(A, B, D)), OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 386,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0386.png",
+      "answer": "-1",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;l: Line;LeftDirectrix(C1) = l;F1: Point;F2: Point;LeftFocus(C1) = F1;RightFocus(C1) = F2;C2: Parabola;Directrix(C2) = l;Focus(C2) = F2;M: Point;Intersection(C1, C2) = M",
+      "coords": {}
+    },
+    {
+      "index": 387,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 6.708203932499369,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0387.png",
+      "answer": "y=pm*x*sqrt(5)/2\n3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/36 - y^2/45 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 388,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0388.png",
+      "answer": "sqrt(10)/5",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;G: Line;A: Point;F1: Point;B: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(B, F1));Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 389,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0389.png",
+      "answer": "x+y-1=0",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);L: Line;PointOnCurve(Focus(G), L);H: Circle;Expression(H) = (2*y - 4*x + x^2 + y^2 = 0);WhenMax(Length(InterceptChord(L, H)))",
+      "coords": {}
+    },
+    {
+      "index": 390,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0390.png",
+      "answer": "32/5",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Distance(P,RightFocus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 391,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 392,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0392.png",
+      "answer": "{1, 3}",
+      "fact_expr": "L: Line;Expression(L) = (y = -t + x);t: Number;C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;B: Point;Intersection(L, C) = {A, B};Negation(A=B);O: Origin;DotProduct(VectorOf(O, A), VectorOf(O, B)) = -3",
+      "coords": {}
+    },
+    {
+      "index": 393,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 394,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0394.png",
+      "answer": "{(x^2/8+y^2/6=1),(y^2/25/3+x^2/25/4=1)}",
+      "fact_expr": "G1: Ellipse;Expression(G1) = (x^2/4 + y^2/3 = 1);G2: Ellipse;Eccentricity(G1) = Eccentricity(G2);H: Point;Coordinate(H) = (2, -sqrt(3));PointOnCurve(H,G2) = True",
+      "coords": {
+        "H": [
+          2.0,
+          -1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 395,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 396,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0396.png",
+      "answer": "(4*sqrt(2),4*sqrt(6))",
+      "fact_expr": "l: Line;G: Parabola;O: Point;A: Point;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 0);Vertex(G)=O;Inclination(l)=pi/4;PointOnCurve(O,l);PointOnCurve(A,l);IsIntersect(LineSegmentOf(O,A),l);Intersection(l,LineSegmentOf(O,A))={P,Q}",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 397,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0397.png",
+      "answer": "3*sqrt(5)+13",
+      "fact_expr": "F: Point;C: Hyperbola;Expression(C) = (x^2/16 - y^2/9 = 1);RightFocus(C) = F;P: Point;PointOnCurve(P, LeftPart(C)) = True;A: Point;Coordinate(A) = (1, 3)",
+      "coords": {
+        "A": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 398,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0398.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;G: Line;B: Point;A: Point;O: Origin;Expression(C) = (y^2 = x);Expression(G) = (y = 1);Intersection(l, C) = {A, B};PointOnCurve(MidPoint(LineSegmentOf(A, B)), G);DotProduct(VectorOf(O, A), VectorOf(O, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 399,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0399.png",
+      "answer": "(-1/2, pm*3/8)",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*x);G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 400,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0400.png",
+      "answer": "17/4",
+      "fact_expr": "A: Point;Coordinate(A) = (4, 0);B: Point;Coordinate(B) = (2, 2);M: Point;PointOnCurve(M, G) = True;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1)",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ],
+        "B": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 401,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0401.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);Quadrant(P) = 1;PointOnCurve(P, C);l: Line;TangentOnPoint(P, C) = l;Distance(F1, l)*Distance(F2, l) = 3",
+      "coords": {}
+    },
+    {
+      "index": 402,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0402.png",
+      "answer": "y=-3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 12*y)",
+      "coords": {}
+    },
+    {
+      "index": 403,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0403.png",
+      "answer": "(0, pm*1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 404,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0404.png",
+      "answer": "(1,3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,LeftPart(G));Abs(LineSegmentOf(P,F2))^2/Abs(LineSegmentOf(P,F1))=8*a",
+      "coords": {}
+    },
+    {
+      "index": 405,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0405.png",
+      "answer": "[0,b^4/c^2]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;c:Number;M: Point;O: Origin;x0:Number;y0:Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (x0, y0);PointOnCurve(M, C);HalfFocalLength(C) = c;Abs(LineSegmentOf(M, O)) <= c",
+      "coords": {}
+    },
+    {
+      "index": 406,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0406.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;B: Point;C: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(G)=A;Slope(H)=-1;PointOnCurve(A,H);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H,L1)=B;Intersection(H,L2)=C;VectorOf(A, B) = VectorOf(B, C)/2",
+      "coords": {}
+    },
+    {
+      "index": 407,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 408,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 409,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 14.48876953125,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 22.99686622619629,
+        "converged": false,
+        "iterations": 500
+      },
+      "output_path": "results/dev/parabola/problem_0409.png",
+      "answer": "y^2=(-9/2)*x",
+      "fact_expr": "C: Parabola;G: Point;O: Origin;Coordinate(G) = (-2, 3);Vertex(C) = O;PointOnCurve(Focus(C), xAxis);PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          -2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 410,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0410.png",
+      "answer": "pi/2",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Q: Point;F: Point;Expression(G) = (y = -x^2/4);Coordinate(P) = (-4, -4);Focus(G) = F;TangentPoint(l, G) = P;Intersection(l, xAxis) = Q",
+      "coords": {
+        "P": [
+          -4.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 411,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0411.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;Q: Point;B: Point;T: Curve;M: Point;Expression(C) = (x^2/4 - y^2/5 = 1);LeftVertex(C) = A;RightVertex(C) = B;IsChordOf(LineSegmentOf(P, Q), C);IsPerpendicular(LineSegmentOf(P, Q), xAxis);Intersection(LineOf(P, A), LineOf(Q, B)) = M;Locus(M)=T",
+      "coords": {}
+    },
+    {
+      "index": 412,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0412.png",
+      "answer": "11",
+      "fact_expr": "l: Line;G: Hyperbola;C: Parabola;A: Point;B: Point;P: Point;F:Point;O: Origin;Expression(G) = (x^2/3 - y^2/6 = 1);Coordinate(P) = (2, 0);Vertex(C) = O;Focus(C) =F;RightFocus(G)=F;PointOnCurve(P, l);Slope(l) = 1;Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A,B),C)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 413,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0413.png",
+      "answer": "2/11",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G);A: Point;B: Point;Intersection(G, C) = {A, B};IsPerpendicular(LineSegmentOf(A, F1), LineSegmentOf(A, F2));Abs(LineSegmentOf(A, F2)) = 2*Abs(LineSegmentOf(A, F1))",
+      "coords": {}
+    },
+    {
+      "index": 414,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0414.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;A: Point;C: Point;D:Point;B: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (x^2 + y^2 = 1);Intersection(H, G) = {A, B};Intersection(H,Directrix(G))={C,D};MidPoint(LineSegmentOf(A, C)) = O",
+      "coords": {}
+    },
+    {
+      "index": 415,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0415.png",
+      "answer": "4/5",
+      "fact_expr": "l: Line;Expression(l) = (4*x - 3*y + 6 = 0);G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;Coordinate(P) = (x0, y0);x0: Number;y0: Number;PointOnCurve(P, G);Distance(P, l) = d;d: Number",
+      "coords": {}
+    },
+    {
+      "index": 416,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0416.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;H: Parabola;m: Real;Expression(G) = (x^2/6 - y^2/3 = 1);Expression(H) = (y^2 = m*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 417,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0417.png",
+      "answer": "2-sqrt(3)",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;M: Point;F1: Point;F2:Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F2,H);Inclination(H)=ApplyUnit(120,degree);OneOf(Intersection(H,G))=M;IsPerpendicular(LineSegmentOf(M,F1),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 418,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0418.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);IsChordOf(LineSegmentOf(A,B),G);IsPerpendicular(LineSegmentOf(A,B),xAxis);Abs(LineSegmentOf(A, B)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0419.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2 = 2);Coordinate(A) = (0, 2);RightFocus(C) = F;PointOnCurve(P, LeftPart(C));WhenMin(Perimeter(TriangleOf(A, P, F)))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 420,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0420.png",
+      "answer": "25/4",
+      "fact_expr": "l: Line;G: Parabola;p: Number;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(F) = (1, 0);Slope(l)=4/3;Focus(G) = F;PointOnCurve(F,l);Intersection(l, G) = {A, B}",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 421,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0421.png",
+      "answer": "y=pm*(sqrt(10)/4)*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;RightFocus(G) = F;I: Point;Coordinate(I) = ((3*a^2)/p, (2*b^2)/p);PointOnCurve(I, G)",
+      "coords": {}
+    },
+    {
+      "index": 422,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 423,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 424,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 425,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 426,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0426.png",
+      "answer": "16",
+      "fact_expr": "m: Number;F: Point;Coordinate(F) = (0, 5);G: Hyperbola;Expression(G) = (-x^2/9 + y^2/m = 1);OneOf(Focus(G)) = F",
+      "coords": {
+        "F": [
+          0.0,
+          5.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 427,
+      "success": false,
+      "conic_type": "circle",
+      "error": "validation: circle_point_off_curve",
+      "params": {
+        "center": [
+          3.0,
+          0.0
+        ],
+        "radius": 10.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0427.png",
+      "answer": "x^2/25+y^2/16=1",
+      "fact_expr": "M: Circle;A: Point;Coordinate(A) = (-3, 0);PointOnCurve(A, M);Expression(B)=((x-3)^2+y^2=100);M1:Point;Center(M)=M1;IsInTangent(M,B);B:Circle",
+      "coords": {
+        "A": [
+          -3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "circle_point_off_curve"
+      ]
+    },
+    {
+      "index": 428,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0428.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (4, y0);y0:Number;PointOnCurve(M, G);Focus(G)=F;F: Point",
+      "coords": {}
+    },
+    {
+      "index": 429,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0429.png",
+      "answer": "(1,2)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 2);PointOnCurve(P, G);Focus(G) = F;WhenMin(LineSegmentOf(P,A)+LineSegmentOf(P,F))",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 430,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0430.png",
+      "answer": "x^2/3-y^2/2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;A: Point;Expression(H) = (x^2/9 + y^2/4 = 1);Coordinate(A) = (3,-2);PointOnCurve(A, G);Focus(G)=Focus(H)",
+      "coords": {
+        "A": [
+          3.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 431,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0431.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/3 + x^2/a^2 = 1);a: Number;a>0;H: Parabola;Expression(H) = (y^2 = 8*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 432,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0432.png",
+      "answer": "4 + 3*sqrt(5)",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Coordinate(A) = (1, 6);LeftFocus(G) = F;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 433,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0433.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 434,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0434.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, RightPart(G));F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;I: Point;Incenter(TriangleOf(P, F1, F2)) = I;TriangleOf(I, P, F1) = (1/2)*TriangleOf(I, F1, F2) + TriangleOf(I, P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 435,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 436,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0436.png",
+      "answer": "3/16",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;H: Parabola;Negation(m*n=0);Expression(G) = (-y^2/n + x^2/m = 1);Expression(H) = (y^2 = 4*x);Eccentricity(G) = 2;OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 437,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 438,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0438.png",
+      "answer": "12*sqrt(2)/7",
+      "fact_expr": "G: Ellipse;H: Line;k: Number;F: Point;A: Point;B: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (y = k*x - 1);LeftFocus(G) = F;Intersection(H, G) = {A, B};WhenMax(Perimeter(TriangleOf(F,A,B)))",
+      "coords": {}
+    },
+    {
+      "index": 439,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0439.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/3 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 440,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 441,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -3.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0441.png",
+      "answer": "x^2/25+y^2/16=1",
+      "fact_expr": "G: Circle;IsOutTangent(G,Q1) = True;Q1: Circle;Expression(Q1) = ((x+3)^2+y^2=1);Q2: Circle;Expression(Q2) = ((x-3)^2+y^2=81);IsInTangent(G,Q2) = True",
+      "coords": {}
+    },
+    {
+      "index": 442,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 443,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0443.png",
+      "answer": "pm*(4/3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 444,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0444.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;Expression(C) = (x^2/4 + y^2 = 1);Coordinate(A) = (1, 0);PointOnCurve(P,C)",
+      "coords": {
+        "A": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 445,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0445.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;A: Point;B: Point;e: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(G),xAxis);L1: Line;L2: Line;Asymptote(G) = {L1, L2};Intersection(RightDirectrix(G), L1) = A;Intersection(RightDirectrix(G), L2) = B;RightFocus(G) = F;DotProduct(VectorOf(F, A), VectorOf(F, B)) = 0;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 446,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0446.png",
+      "answer": "{2, (2*sqrt(15))/5}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);F: Point;RightFocus(G) = F;H: Line;PointOnCurve(F, H);Slope(H)>0;A: Point;B: Point;Intersection(H, Asymptote(G)) = {A, B};O: Origin;Area(TriangleOf(O, A, B)) = 16*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 447,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0447.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;c: Number;F: Point;RightFocus(C) = F;Coordinate(F) = (c, 0);P: Point;Q: Point;PointOnCurve(P, C);PointOnCurve(Q, C);M: Point;Coordinate(M) = (-c/2, 0);Distance(M, LineOf(F, P)) = c/2;Incenter(TriangleOf(P, Q, F)) = M;e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 448,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0448.png",
+      "answer": "[(sqrt(17)-3)/4, 1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);e: Number;Eccentricity(C) = e;LineSegmentOf(P, F1) = (2*e)*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 449,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 450,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 451,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0451.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2 - y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Sin(AngleOf(P, F2, F1))/Sin(AngleOf(P, F1, F2)) = e;e:Number;Eccentricity(G)=e",
+      "coords": {}
+    },
+    {
+      "index": 452,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0452.png",
+      "answer": "pm*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Circle;a: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y^2 + (-a + x)^2 = 1);IsTangent(H,Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 453,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0453.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/16 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 454,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 455,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0455.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;Slope(H) = 1;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 456,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0456.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -1);Coordinate(A) = (0, -1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 457,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0457.png",
+      "answer": "{(x-1)^2+(y-2)^2=4,(x-1)^2+(y+2)^2=4}",
+      "fact_expr": "G: Parabola;C: Circle;Expression(G) = (y^2 = 4*x);PointOnCurve(Center(C),G);IsTangent(C,xAxis);IsTangent(C,Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 458,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0458.png",
+      "answer": "4*a+2*m",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;A: Point;B: Point;F1:Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F2;Focus(G)={F1,F2};Abs(LineSegmentOf(A, B)) = m;IsChordOf(LineSegmentOf(A, B),LeftPart(G));PointOnCurve(F1,LineSegmentOf(A, B));m:Number",
+      "coords": {}
+    },
+    {
+      "index": 459,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0459.png",
+      "answer": "(2*sqrt(5))/5",
+      "fact_expr": "H: Line;Expression(H) = (x + 2*y - 2 = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(OneOf(Focus(G)), H);PointOnCurve(OneOf(Vertex(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 460,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0460.png",
+      "answer": "{14, 2}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 461,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0461.png",
+      "answer": "10",
+      "fact_expr": "l: Line;Slope(l) = 2;G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 462,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0462.png",
+      "answer": "16/5",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 463,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0463.png",
+      "answer": "(pm*sqrt(5), 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 464,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0464.png",
+      "answer": "x=-3/2",
+      "fact_expr": "l: Line;C: Parabola;P: Number;P>0;Expression(l)=(y = x + 3/2);Expression(C) = (y^2 = 2*(P*x));NumIntersection(l,C)=1",
+      "coords": {}
+    },
+    {
+      "index": 465,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0465.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 466,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0466.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(G),H);PointOnCurve(Endpoint(MinorAxis(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 467,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0467.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Distance(LeftVertex(G), Focus(H)) = 4;Coordinate(Intersection(OneOf(Asymptote(G)),Directrix(H)))=(-2,-1)",
+      "coords": {}
+    },
+    {
+      "index": 468,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.015625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0468.png",
+      "answer": "(0, 1/64)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 16*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 469,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0469.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Ellipse;P: Point;Q: Point;F2: Point;Expression(C) = (x^2/3 + y^2/2 = 1);RightFocus(C) = F2;PointOnCurve(P, C);PointOnCurve(Q, C);LineSegmentOf(P, Q) = 2*sqrt(2);WhenMax(LineSegmentOf(P,F2)+LineSegmentOf(Q,F2))",
+      "coords": {}
+    },
+    {
+      "index": 470,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0470.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = pi/3;Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 471,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0471.png",
+      "answer": "8",
+      "fact_expr": "l: Line;C: Parabola;M: Point;A: Point;B: Point;F: Point;N: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (-1, 0);PointOnCurve(M, l);Intersection(l, C) = {A, B};Between(A, M, B);Focus(C) = F;VectorOf(N, F) = 6*VectorOf(A, F)",
+      "coords": {
+        "M": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 472,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0472.png",
+      "answer": "14",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/100 + y^2/36 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G)=F2;Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 473,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 474,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0474.png",
+      "answer": "y=pm*(4/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = (3/5)*Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 475,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0475.png",
+      "answer": "16/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/9 + y^2/4 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 476,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0476.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;F: Point;P: Point;Q: Point;l: Line;Expression(C) = (y^2 = 8*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P,F),C))=Q;VectorOf(F, P) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 477,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 478,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 479,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0479.png",
+      "answer": "4/5",
+      "fact_expr": "l: Line;G: Hyperbola;Q: Point;P: Point;A: Point;Expression(G) = (x^2/5 - y^2/4 = 1);Coordinate(A) = (1, 1);Intersection(l, G) = {P, Q};MidPoint(LineSegmentOf(P,Q))=A",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/dev/hyperbola/problem_0480.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(y=2*x)",
+      "coords": {}
+    },
+    {
+      "index": 481,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0481.png",
+      "answer": "16",
+      "fact_expr": "m: Line;E: Parabola;A: Point;M: Point;F: Point;N: Point;B: Point;l: Line;Expression(E) = (y^2 = 12*x);Focus(E) = F;Directrix(E) = l;PointOnCurve(F,m);Intersection(m, E) = {A, B};PointOnCurve(A,LineSegmentOf(A,M));IsPerpendicular(LineSegmentOf(A,M),l);FootPoint(LineSegmentOf(A,M),l)=M;MidPoint(LineSegmentOf(A, M)) = N;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(F, N))",
+      "coords": {}
+    },
+    {
+      "index": 482,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          0.0
+        ],
+        "radius": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0482.png",
+      "answer": "x^2/9+y^2/5=1",
+      "fact_expr": "G: Circle;A: Point;N: Point;M: Point;P: Point;Expression(G) = (y^2 + (x + 2)^2 = 36);Coordinate(N) = (2, 0);Center(G)=M;PointOnCurve(A, G);Intersection(PerpendicularBisector(LineSegmentOf(A,N)), LineSegmentOf(M, A)) = P",
+      "coords": {}
+    },
+    {
+      "index": 483,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0483.png",
+      "answer": "24",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/24 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);3*LineSegmentOf(P, F1) = 4*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 484,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/dev/hyperbola/problem_0484.png",
+      "answer": "x^2/2 - y^2/8 = 1",
+      "fact_expr": "C: Hyperbola;Expression(OneOf(Asymptote(C))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 485,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0485.png",
+      "answer": "x^2-y^2=2",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);G: Hyperbola;Focus(H) = Focus(G);L1: Line;L2: Line;Asymptote(G) = {L1, L2};IsPerpendicular(L1, L2)",
+      "coords": {}
+    },
+    {
+      "index": 486,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 487,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0487.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;H: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9-y^2/16 = 1);Expression(C) = (y^2 + (x + 5)^2 = 4);PointOnCurve(P,RightPart(G));PointOnCurve(M,C);PointOnCurve(N,H);C:Circle;Expression(H)=(y^2 + (x-5)^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 488,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0488.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);Abs(VectorOf(P, F1) + VectorOf(P, F2)) = sqrt(Abs(VectorOf(P, F1))^2 + Abs(VectorOf(P, F2))^2);Abs(VectorOf(P, F1)) = 2*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 489,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 490,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0490.png",
+      "answer": "y=-x+3",
+      "fact_expr": "G: Ellipse;H: LineSegment;Expression(G) = (x^2/8 + y^2/4 = 1);Coordinate(MidPoint(H)) = (2, 1);IsChordOf(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 491,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0491.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (x^2/16 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 492,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0492.png",
+      "answer": "x-y+1=0",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (-1, 0);PointOnCurve(P, G);Quadrant(P)=1;Focus(G) = F;WhenMin(Abs(LineSegmentOf(P, F))/Abs(LineSegmentOf(P, A)))",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 493,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 494,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0494.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 495,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 496,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/dev/hyperbola/problem_0496.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(3)*a",
+      "coords": {}
+    },
+    {
+      "index": 497,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0497.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y);F: Point;Focus(G) = F;l: Line;Directrix(G) = l",
+      "coords": {}
+    },
+    {
+      "index": 498,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 499,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0499.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4*a);a: Real;Negation(a=0);H: Ellipse;Expression(H) = (x^2/16 + y^2/9 = 1);RightFocus(G) = OneOf(Vertex(H))",
+      "coords": {}
+    },
+    {
+      "index": 500,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 501,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 502,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0502.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 503,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 0.9927864074707031,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.00015326803259085864,
+        "converged": true,
+        "iterations": 44
+      },
+      "output_path": "results/dev/parabola/problem_0503.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Coordinate(P) = (4, 4);Focus(C) = F;PointOnCurve(P, C)",
+      "coords": {
+        "P": [
+          4.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 504,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 505,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0505.png",
+      "answer": "x^2+x+3*y^2=0",
+      "fact_expr": "C: Ellipse;G: Point;A: Point;B: Point;Expression(C) = (x^2/3 + y^2 = 1);Coordinate(G) = (-1, 0);IsChordOf(LineSegmentOf(A,B),C);PointOnCurve(G,LineSegmentOf(A,B))",
+      "coords": {
+        "G": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 506,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0506.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 507,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "y",
+        "x_coef": 16.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0507.png",
+      "answer": "3*sqrt(7)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/25 = 1);M: Point;PointOnCurve(M, G) = True;T: Point;Coordinate(T) = (0, -3);N: Point;Abs(LineSegmentOf(N, T)) = 1;AngleOf(M, N, T) = ApplyUnit(90, degree)",
+      "coords": {
+        "T": [
+          0.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 508,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0508.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (-1, 0);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 509,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0509.png",
+      "answer": "(-oo,-1]+[1,+oo)",
+      "fact_expr": "C: Ellipse;G: Circle;A: Point;B: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Expression(G) = (x^2 + y^2 = 1);PointOnCurve(A,C);PointOnCurve(B,C);PointOnCurve(MidPoint(LineSegmentOf(A,B)), G)",
+      "coords": {}
+    },
+    {
+      "index": 510,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 511,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0511.png",
+      "answer": "2*sqrt(2)-1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;PointOnCurve(A, LeftPart(G));IsParallel(LineOf(A, F1), H);H: Line;Expression(H) = (y = x*(b/a));Perimeter(TriangleOf(A, F1, F2)) = 8*a",
+      "coords": {}
+    },
+    {
+      "index": 512,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0512.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;Expression(G) = (x^2/(2*p) - y^2/p = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 513,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 514,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0514.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/2 + x^2/a = 1);Eccentricity(G) = sqrt(3*a)",
+      "coords": {}
+    },
+    {
+      "index": 515,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 516,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 517,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/dev/ellipse/problem_0517.png",
+      "answer": "{9/2, 8}",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/6 + x^2/m = 1);m: Number;Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 518,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0518.png",
+      "answer": "16/3",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(60, degree);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 519,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0519.png",
+      "answer": "4",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/9 + y^2/3 = 1);H: Line;PointOnCurve(F1, H);Intersection(H, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 520,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0520.png",
+      "answer": "sqrt(5), sqrt(5)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;O: Origin;A: Point;B: Point;a>0;b>0;L1:Line;L2:Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l)=(x=4*a);Asymptote(C)={L1,L2};Intersection(l,L1)=A;Intersection(l,L2)=B;Area(TriangleOf(O,A,B))=32;FocalLength(C) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 521,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0521.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;n: Number;m: Number;m>0;n>0;2/n + 1/m = 1;WhenMin(m*n);Expression(G) = (y^2/n^2 + x^2/m^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 522,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0522.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(Focus(G),Asymptote(G))= a^2/b",
+      "coords": {}
+    },
+    {
+      "index": 523,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 524,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0524.png",
+      "answer": "12*(2+sqrt(2))/5\n12*(2-sqrt(2))/5",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Expression(H) = (3*x - 4*y = 24);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 525,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0525.png",
+      "answer": "(1, 3/2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Circle;Expression(H) = (-6*y + x^2 + y^2 + 5 = 0);NumIntersection(Asymptote(G), H) = 0",
+      "coords": {}
+    },
+    {
+      "index": 526,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 527,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0527.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;G: Parabola;p: Number;H: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(F, H);Inclination(H)=ApplyUnit(45, degree);Intersection(H,G) = {B, A};Length(LineSegmentOf(A, B)) = 8;F: Point",
+      "coords": {}
+    },
+    {
+      "index": 528,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0528.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (y^2/4 - x^2/b^2 = 1);FocalLength(G) = 8",
+      "coords": {}
+    },
+    {
+      "index": 529,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0529.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;PointOnCurve(M, G);AngleOf(F1, M, F2) = ApplyUnit(60, degree);DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 530,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0530.png",
+      "answer": "32/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F2: Point;RightFocus(G) = F2;H: LineSegment;IsChordOf(H, G);PointOnCurve(F2, H)",
+      "coords": {}
+    },
+    {
+      "index": 531,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0531.png",
+      "answer": "y=pm*(2/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;H: Point;Expression(G) = (x^2/9 - y^2/b^2 = 1);Coordinate(H) = (sqrt(13), 0);RightFocus(G) = H",
+      "coords": {
+        "H": [
+          3.605551275463989,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 532,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0532.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "O: Origin;G:Hyperbola;H: Parabola;Expression(H) = (y^2 = -8*x);Eccentricity(G)=2;Center(G)=O;OneOf(Vertex(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 533,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0533.png",
+      "answer": "(2,+oo)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P:Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P,G);XCoordinate(P)=3*a/2;Distance(P,RightFocus(G))>Distance(P,LeftDirectrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 534,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0534.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(C) = 4*sqrt(5);Slope(OneOf(Asymptote(C))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 535,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 536,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0536.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;M: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (7/2, 4);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          3.5,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 537,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0537.png",
+      "answer": "-4",
+      "fact_expr": "C: Hyperbola;A: Point;B: Point;P: Point;Expression(C) = (x^2/16 - y^2/9 = 1);Coordinate(A) = (-5, 0);Coordinate(B) = (5, 4);PointOnCurve(P, RightPart(C))",
+      "coords": {
+        "A": [
+          -5.0,
+          0.0
+        ],
+        "B": [
+          5.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 538,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0538.png",
+      "answer": "(-oo, -2*sqrt(2)] + (0, +oo)",
+      "fact_expr": "l: Line;G: Parabola;p: Number;O: Origin;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};PointOnCurve(A, xAxis);Abs(VectorOf(O, A)) >= Abs(VectorOf(F, A))",
+      "coords": {}
+    },
+    {
+      "index": 539,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0539.png",
+      "answer": "x^2/(9/4)-y^2/4=1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;A: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (3, -2*sqrt(3));Asymptote(C) = Asymptote(G);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          3.0,
+          -3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 540,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.2152259349823,
+        "b": 1.4676733384680494,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.580150581040369e-05,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/ellipse/problem_0540.png",
+      "answer": "x^2/16+y^2/7=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;Eccentricity(C)=3/4;PointOnCurve(P, C);Area(TriangleOf(F1, P, F2)) = 7;Radius(InscribedCircle(TriangleOf(F1,P,F2)))=1",
+      "coords": {}
+    },
+    {
+      "index": 541,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0541.png",
+      "answer": "4",
+      "fact_expr": "F: Point;G: Parabola;Expression(G) = (y^2 = 4*x);Focus(G) = F;M: Point;PointOnCurve(M, G);P: Point;Coordinate(P) = (3, 1)",
+      "coords": {
+        "P": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 542,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/dev/hyperbola/problem_0542.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);Coordinate(Focus(G))=(4,0)",
+      "coords": {}
+    },
+    {
+      "index": 543,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0543.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y)",
+      "coords": {}
+    },
+    {
+      "index": 544,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 545,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0545.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;G: Circle;Expression(C) = (x^2/16 - y^2/9 = 1);RightFocus(C)=Center(G);IsTangent(G, Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 546,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0546.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;O: Origin;A: Point;B:Point;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = sqrt(3)*x);RightFocus(C) = F;Intersection(G,C)={A,B};Quadrant(A)=1;LineSegmentOf(O, A) = LineSegmentOf(O, F)",
+      "coords": {}
+    },
+    {
+      "index": 547,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0547.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 548,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0548.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/6 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);WhenMin(1/Abs(LineSegmentOf(P, F1))+4/Abs(LineSegmentOf(P, F2)))",
+      "coords": {}
+    },
+    {
+      "index": 549,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/dev/hyperbola/problem_0549.png",
+      "answer": "(3*x^2/2-y^2/2 = 1)",
+      "fact_expr": "C: Hyperbola;C1: Point;Coordinate(C1) = (1,1);Expression(OneOf(Asymptote(C))) = (y = sqrt(3)*x)",
+      "coords": {
+        "C1": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 550,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0550.png",
+      "answer": "x^2/9 - y^2/27 = 1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/16 = 1);G: Hyperbola;Focus(H) = Vertex(G);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 551,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0551.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);Focus(C) = F;F: Point;A: Point;Coordinate(A) = (x0, y0);x0: Number;y0: Number;PointOnCurve(A, C) = True;Abs(LineSegmentOf(A, F)) = (5/4)*x0",
+      "coords": {}
+    },
+    {
+      "index": 552,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0552.png",
+      "answer": "(4,pm*4*sqrt(2))",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(P, G);Distance(P, Focus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 553,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0553.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Max(AngleOf(F1, P, F2)) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 554,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0554.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;B: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Expression(l)=(y = sqrt(3)*x) ;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 555,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0555.png",
+      "answer": "(pm*2*sqrt(2), 0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/8 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 556,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0556.png",
+      "answer": "y=pm*(5/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/25 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 557,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 558,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0558.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Real;PointOnCurve(Intersection(RightDirectrix(G), Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 559,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0559.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;E: Ellipse;A: Point;B: Point;O:Origin;Center(E)=O;Eccentricity(E)=sqrt(3)/2;Expression(C) = (y^2 = 12*x);RightFocus(E) = Focus(C);Intersection(Directrix(C),E)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 560,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0560.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;PointOnCurve(A, G);XCoordinate(A) = 3;Distance(A, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 561,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/dev/ellipse/problem_0561.png",
+      "answer": "{3, 16/3}",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);m: Number;Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 562,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 563,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0563.png",
+      "answer": "{10,2}",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2 - 4*y^2 = 4);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G)) = F2;Negation(F1=F2);Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 564,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0564.png",
+      "answer": "x - 2*y + 4 = 0",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;M: Circle;r: Number;B: Point;A: Point;c: Number;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Expression(M) = ((x + 2)^2 + (y - 1)^2 = r^2);HalfFocalLength(E) = c;c = sqrt(3)*b;PointOnCurve(A, E);PointOnCurve(B, E);OneOf(Diameter(LineSegmentOf(A, B), M))",
+      "coords": {}
+    },
+    {
+      "index": 565,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/dev/ellipse/problem_0565.png",
+      "answer": "x^2/4 + y^2/3 = 1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(C) = 1/2;F2: Point;RightFocus(C) = F2;M: Point;G: Circle;Expression(G) = (x^2 + y^2 = b^2);PointOnCurve(M, G) = True;Quadrant(M) = 1;P: Point;Q: Point;l: Line;TangentOnPoint(M,G) = l;Perimeter(TriangleOf(P, F2, Q)) = 4;Intersection(l,C) = {P,Q}",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 566,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0566.png",
+      "answer": "[sqrt(2)/2, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 567,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 568,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0568.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/4 = 1);PointOnCurve(P, G);Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 569,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0569.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p > 0;F: Point;Focus(C) = F;P: Point;Coordinate(P) = (4, y0);y0: Number;PointOnCurve(P, C) = True;Abs(LineSegmentOf(F, P)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 570,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0570.png",
+      "answer": "(pm*1, 0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 571,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 572,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0572.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);H: Line;Expression(H) = (x - 2*y - 12 = 0);D: Point;PointOnCurve(D, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 573,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 574,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.872983346207417,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 15.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0574.png",
+      "answer": "21",
+      "fact_expr": "G: Ellipse;N: Circle;E: Point;F: Point;P: Point;Expression(G) = (x^2/16 + y^2/15 = 1);Expression(N) = (y^2 + (x - 1)^2 = 4);PointOnCurve(P, G);IsDiameter(LineSegmentOf(E,F),N)",
+      "coords": {}
+    },
+    {
+      "index": 575,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0575.png",
+      "answer": "3/4",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/8 + y^2/6 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};Coordinate(MidPoint(LineSegmentOf(A,B)))=(-1,1)",
+      "coords": {}
+    },
+    {
+      "index": 576,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0576.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "A: Point;F: Point;C: Ellipse;B: Point;l: Line;Expression(C) = (x^2/2 + y^2 = 1);RightFocus(C) = F;RightDirectrix(C) = l;In(A, l) = True;Intersection(LineSegmentOf(A, F), C) = B;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 577,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0577.png",
+      "answer": "sqrt(2)/4",
+      "fact_expr": "C: Parabola;P: Point;O: Origin;F: Point;x0: Number;y0: Number;Expression(C) = (y^2 = 2*x);Coordinate(P) = (x0, y0);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = (3/2)*x0",
+      "coords": {}
+    },
+    {
+      "index": 578,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0578.png",
+      "answer": "{(x^2/3-y^2/3=1),(x^2/8+y^2/2=1)}",
+      "fact_expr": "G: Hyperbola;H: ConicSection;P:Point;Expression(G) = (x^2/4 - y^2/2 = 1);Coordinate(P) = (2, 1);Focus(G)=Focus(H);PointOnCurve(P,H)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 579,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0579.png",
+      "answer": "2*(sqrt(2)-1)",
+      "fact_expr": "G: Parabola;H: Line;M: Point;F: Point;N: Point;A: Point;B: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(F,H);Intersection(H,G) = {A,B};VectorOf(A, F) = VectorOf(F, B);Projection(A,l)=M;Projection(B,l)=N",
+      "coords": {}
+    },
+    {
+      "index": 580,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0580.png",
+      "answer": "y=pm*(2/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 581,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0581.png",
+      "answer": "0",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);P: Point;Coordinate(P) = (0, -1);TangentOfPoint(P, C) = {LineOf(P, A), LineOf(P, B)};TangentPoint(LineOf(P, A), C) = A;TangentPoint(LineOf(P, B), C) = B;A: Point;B: Point",
+      "coords": {
+        "P": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 582,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 583,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0583.png",
+      "answer": "4+2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 8;Abs(LineSegmentOf(A, F)) < Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 584,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0584.png",
+      "answer": "sqrt(10)/3\nx+pm*3*y=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2 = 1);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 585,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 586,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0586.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/6 + x^2/m = 1);m: Number;FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 587,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 5.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0587.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 100)",
+      "coords": {}
+    },
+    {
+      "index": 588,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0588.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Circle;Expression(G) = (y^2 + (x - 2)^2 = 2);IsIntersect(Asymptote(C), G);L1: Line;L2: Line;Asymptote(C) = {L1, L2};Length(InterceptChord(L1, G)) = 2;Length(InterceptChord(L2, G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 589,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0589.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;H: Ellipse;Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 590,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0590.png",
+      "answer": "1/8",
+      "fact_expr": "P: Point;PointOnCurve(P,RightPart(G)) = True;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Circle;Center(H) = O;O: Origin;Radius(H) = a;TangentPoint(LineOf(P,F1),H) = A;A: Point;PointOnCurve(F2,PerpendicularBisector(LineSegmentOf(P,F1))) = True;IsTangent(LineOf(P,F1),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 591,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0591.png",
+      "answer": "(-oo,2]",
+      "fact_expr": "G: Parabola;a: Real;Expression(G) = (x^2 = 4*y);A:Point;Coordinate(A)=(0,a);WhenMin(Distance(Vertex(G),A))",
+      "coords": {}
+    },
+    {
+      "index": 592,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0592.png",
+      "answer": "0",
+      "fact_expr": "G: Hyperbola;b: Number;P: Point;F1: Point;F2: Point;b>0;Expression(G) = (x^2/2 - y^2/b^2 = 1);y0:Number;Coordinate(P) = (sqrt(3), y0);LeftFocus(G) = F1;RightFocus(G) = F2;Expression(OneOf(Asymptote(G))) = (y = x);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 593,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 594,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0594.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;F: Point;M: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(F) = (1, 0);Focus(C) = F;Intersection(Directrix(C),axis)=A;PointOnCurve(M, C);WhenMin(Abs(LineSegmentOf(M,F))/Abs(LineSegmentOf(M,A)))",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 595,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0595.png",
+      "answer": "(x^2/16+y^2/12=1)&Negation(y=0)",
+      "fact_expr": "O: Circle;Expression(O) = (x^2 + y^2 = 16);A: Point;Coordinate(A) = (-2, 0);B: Point;Coordinate(B) = (2, 0);IsTangent(l, O) = True;l: Line;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;G: Parabola;Directrix(G) = l",
+      "coords": {}
+    },
+    {
+      "index": 596,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0596.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;PointOnCurve(A, G);F: Point;Focus(G) = F;O: Origin;Area(TriangleOf(O, A, F)) = p;Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 597,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0597.png",
+      "answer": "[1,5)",
+      "fact_expr": "G: Ellipse;t: Number;H: Line;k: Real;Expression(G) = (x^2/5 + y^2/t = 1);Expression(H) = (y = k*x + 1);PointOnCurve(Focus(G),xAxis);IsIntersect(G,H)",
+      "coords": {}
+    },
+    {
+      "index": 598,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0598.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/16 + y^2/b^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C) = sqrt(3)/2;PointOnCurve(P,C) = True;P: Point;AngleOf(F1, P, F2) = ApplyUnit(90, degree);b:Number;4>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 599,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0599.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Circle;B: Point;A: Point;Endpoint(LineSegmentOf(A,B))={A,B};Expression(G) = (x^2 + y^2 = 1);Coordinate(B)=(4,0);PointOnCurve(A, G)",
+      "coords": {}
+    },
+    {
+      "index": 600,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.5,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0600.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (4*x^2 - 2*y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 601,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0601.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + (y - 2)^2 = 1);NumIntersection(Asymptote(G), H) = 0",
+      "coords": {}
+    },
+    {
+      "index": 602,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 603,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0603.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Z: Line;PointOnCurve(OneOf(Focus(G)), Z);IsPerpendicular(Z, OneOf(Asymptote(G)));H: Curve;Expression(H) = (x^2/b^2 + y^2/a^2 = 1);PointOnCurve(FootPoint(Z, OneOf(Asymptote(G))), H)",
+      "coords": {}
+    },
+    {
+      "index": 604,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0604.png",
+      "answer": "(1/2, 1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);Negation(P=Endpoint(MajorAxis(C)));M: Point;PointOnCurve(M, LineSegmentOf(P, F1));O: Origin;VectorOf(M, F1) = 2*VectorOf(P, M);DotProduct(VectorOf(M, F2), VectorOf(O, P)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 605,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0605.png",
+      "answer": "16/3",
+      "fact_expr": "m: Line;E: Parabola;A: Point;F: Point;P: Point;Q: Point;B: Point;l: Line;Expression(E) = (y^2 = 4*x);Focus(E) = F;Directrix(E) = l;PointOnCurve(F, m);Intersection(m, E) = {A, B};Intersection(PerpendicularBisector(LineSegmentOf(A,F)),l)=P;Intersection(PerpendicularBisector(LineSegmentOf(A,F)),xAxis)=Q;AngleOf(A,F,P)=AngleOf(A,F,Q)",
+      "coords": {}
+    },
+    {
+      "index": 606,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0606.png",
+      "answer": "a^2/b^2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Circle;B: Point;A: Point;N: Point;M: Point;P:Point;a > b;b > 0;L1:Line;L2:Line;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(O)=(x^2+y^2=b^2);PointOnCurve(P,G);Negation(P=Vertex(G));TangentOfPoint(P,O)={L1,L2};TangentPoint(L1,O)=A;TangentPoint(L2,O)=B;Intersection(LineOf(A,B), xAxis) = M;Intersection(LineOf(A,B), yAxis) = N",
+      "coords": {}
+    },
+    {
+      "index": 607,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0607.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C);N: Point;Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;MidPoint(LineSegmentOf(F, N)) = M;Abs(LineSegmentOf(F, N)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 608,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 609,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0609.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/25 + y^2/16 = 1);Vertex(H)=Focus(G);Focus(H)=Vertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 610,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 611,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0611.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;m: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (m, 4);PointOnCurve(P, G);Focus(G) = {F1, F2};Radius(InscribedCircle(TriangleOf(P, F1, F2))) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 612,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.000784158706665,
+        "b": 1.6304504558913928,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 6.201316546158653e-06,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/dev/ellipse/problem_0612.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Coordinate(P) = (1, 3/2);Focus(C) = {F1, F2};PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 4",
+      "coords": {
+        "P": [
+          1.0,
+          1.5
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 613,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 614,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0614.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G))=(4*x+pm*3*y=0);PointOnCurve(P,G);LeftFocus(G) = F1;RightFocus(G) = F2;Area(TriangleOf(P, F1, F2)) = 16;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 615,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 616,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0616.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "Slope(l) = sqrt(2)/2;l: Line;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Intersection(l, G) = {A, B};A: Point;B: Point;Focus(G) = {Projection(A, xAxis), Projection(B, xAxis)}",
+      "coords": {}
+    },
+    {
+      "index": 617,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0617.png",
+      "answer": "x^2/8 - y^2/18 = 1",
+      "fact_expr": "G: Hyperbola;H: Hyperbola;M: Point;Expression(G) = (x^2/4 - y^2/9 = 1);Coordinate(M) = (2*sqrt(6), 6);PointOnCurve(M,H);Asymptote(G) = Asymptote(H)",
+      "coords": {
+        "M": [
+          4.898979485566356,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 618,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0618.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;Coordinate(M) = (1, 8);PointOnCurve(M, G);G: Line;Intersection(G, E) = {A, B};B: Point;A: Point;MidPoint(LineSegmentOf(A, B)) = M;IsPerpendicular(LineOf(A, B), OneOf(Asymptote(E))) = True",
+      "coords": {
+        "M": [
+          1.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 619,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0619.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (3, y1);PointOnCurve(P,G);y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 620,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.03125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0620.png",
+      "answer": "65/16",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/8);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;YCoordinate(M) = 2",
+      "coords": {}
+    },
+    {
+      "index": 621,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0621.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;PointOnCurve(F, l);A: Point;B: Point;Intersection(l,G) = {A,B};Distance(MidPoint(LineSegmentOf(A,B)), yAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 622,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0622.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, G) ;L: Line;PointOnCurve(P,L);IsParallel(L,RealAxis(G)) ;L1: Line;L2: Line;Asymptote(G) = {L1,L2};Intersection(L,L1) = M;M: Point;Intersection(L,L2) = N;N: Point;DotProduct(VectorOf(P, M), VectorOf(P, N)) = 2*b^2",
+      "coords": {}
+    },
+    {
+      "index": 623,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 624,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0624.png",
+      "answer": "(0,sqrt(2)]",
+      "fact_expr": "E: Ellipse;A: Point;B: Point;F: Point;P: Point;t:Number;Expression(E) = (x^2/2 + y^2 = 1);Coordinate(P)=(2,t);LeftFocus(E) = F;TangentOfPoint(P,E)={LineOf(P,A),LineOf(P,B)};TangentPoint(LineOf(P,B),E)=A;TangentPoint(LineOf(P,A),E)=B",
+      "coords": {}
+    },
+    {
+      "index": 625,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0625.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 626,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0626.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F1, l);Inclination(l) = pi/6;A: Point;Intersection(l, LeftPart(G)) = A;B: Point;Intersection(l, RightPart(G)) = B;Abs(LineSegmentOf(A, F2)) = Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 627,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0627.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;P: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(A) = (-2, 0);Coordinate(B) = (2, 0);PointOnCurve(P, G);Abs(LineSegmentOf(P, A)) - Abs(LineSegmentOf(P, B)) = 2",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ],
+        "B": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 628,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0628.png",
+      "answer": "x^2/2+y^2=1",
+      "fact_expr": "C: Ellipse;G:Line;a: Number;b: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x - y + 2*sqrt(2) = 0);Eccentricity(C) = sqrt(2)/2;Distance(RightVertex(C),G)=3",
+      "coords": {}
+    },
+    {
+      "index": 629,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0629.png",
+      "answer": "8;4;(0,pm*2*sqrt(3));{(pm*2,0),(0,pm*4)};sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 630,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0630.png",
+      "answer": "-1/2",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 1);PointOnCurve(P, l) = True;l: Line;G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1);Intersection(l, G) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 631,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0631.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;P: Point;G: Point;Expression(C) = (y^2 = 4*x);PointOnCurve(P, C);Coordinate(G) = (6, 12)",
+      "coords": {
+        "G": [
+          6.0,
+          12.0
+        ]
+      }
+    },
+    {
+      "index": 632,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0632.png",
+      "answer": "x^2/20 - y^2/16 = 1",
+      "fact_expr": "C: Hyperbola;a: Number;a > 0;Expression(C) = (x^2/a^2 - y^2/16 = 1);Distance(RightVertex(C), OneOf(Asymptote(C))) = 4*sqrt(5)/3",
+      "coords": {}
+    },
+    {
+      "index": 633,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 634,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0634.png",
+      "answer": "1/8",
+      "fact_expr": "G: Parabola;m: Number;H: Ellipse;Expression(G) = (y = m*x^2);Expression(H) = (x^2/2 + y^2/6 = 1);Focus(G) = UpperFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 635,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0635.png",
+      "answer": "9/8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 3*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 636,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0636.png",
+      "answer": "x^2/16 + y^2/15 = 1",
+      "fact_expr": "M:Circle;C1:Circle;Expression(C1) = ((x+1)^2 + y^2 = 36);IsInTangent(M,C1);C2: Circle;Expression(C2) = ((x-1)^2 + y^2 = 4);IsOutTangent(M,C2);Center(M) = M1;M1: Point",
+      "coords": {}
+    },
+    {
+      "index": 637,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0637.png",
+      "answer": "10",
+      "fact_expr": "A: Point;Coordinate(A) = (8, 2);G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G) = True",
+      "coords": {
+        "A": [
+          8.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 638,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 639,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0639.png",
+      "answer": "x^2/6+y^2/2=1",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;F1: Point;F2: Point;O:Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(O,l);Inclination(l)=ApplyUnit(30,degree);OneOf(Intersection(l,C))=A;IsPerpendicular(LineSegmentOf(A, F1), LineSegmentOf(A, F2));Area(TriangleOf(F1,A,F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 640,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0640.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C2: Hyperbola;C1: Ellipse;a:Number;b:Number;a>b;b>0;P: Point;F2: Point;Expression(C1) = (x^2/a^2+y^2/b^2=1);Expression(C2) = (x^2-y^2=4);RightFocus(C1)=F2;RightFocus(C2)=F2;Intersection(C1, C2)=P;Quadrant(P) = 1;Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 641,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.33732376966822,
+        "b": 1.7454107534785184,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.8920117601792354e-05,
+        "converged": true,
+        "iterations": 51
+      },
+      "output_path": "results/dev/hyperbola/problem_0641.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;PointOnCurve(Focus(G), xAxis);Expression(Asymptote(G)) = (y = pm*(3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 642,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0642.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/4 + x^2/a^2 = 1);a: Number;a>0;H: Point;Coordinate(H) = (1, 2);PointOnCurve(H, Asymptote(G))",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 643,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0643.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 644,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0644.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2));AngleOf(P,F1,F2)=ApplyUnit(30,degree)",
+      "coords": {}
+    },
+    {
+      "index": 645,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0645.png",
+      "answer": "x^2/9 - y^2 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Focus(G) = {F1, F2};Expression(Asymptote(G)) = (y = pm*(x/3))",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 646,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0646.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;O: Origin;P: Point;F: Point;Expression(G) = (x^2 - y^2/3 = 1);RightFocus(G) = F;PointOnCurve(P,Asymptote(G));Abs(LineSegmentOf(O, P)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 647,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0647.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;H: Ellipse;a: Number;Expression(G) = (x^2/2 - y^2 = 1);a>0;Expression(H) = (y^2 + x^2/a^2 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 648,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0648.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(A) = (1, 1);LeftFocus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0649.png",
+      "answer": "10",
+      "fact_expr": "C2: Hyperbola;C1: Ellipse;A: Point;Expression(C1) = (x^2/9 + y^2/4 = 1);Expression(C2) = (x^2/4 - y^2 = 1);OneOf(Intersection(C1, C2)) = A;F1: Point;F2: Point;Focus(C1) = {F1, F2};Distance(A, F1) + Distance(A, F2) = m ;m: Number;n: Number;Abs(Distance(A, F1) - Distance(A, F2)) = n",
+      "coords": {}
+    },
+    {
+      "index": 650,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0650.png",
+      "answer": "2",
+      "fact_expr": "l: Line;Expression(l) = (y = k*(x + 4));k:Number;G: Circle;Expression(G) = (y^2 + (x + 2)^2 = 4);A: Point;B: Point;Intersection(l, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;H: Line;Expression(H) = (3*x + 4*y - 6 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 651,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0651.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G:Hyperbola;b: Number;a: Number;F: Point;O: Origin;A: Point;c:Number;L:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F;Coordinate(F) = (c, 0);PointOnCurve(F,L);IsPerpendicular(OneOf(Asymptote(G)),L);FootPoint(OneOf(Asymptote(G)),L)=A;Area(TriangleOf(O, A, F)) = c^2/4",
+      "coords": {}
+    },
+    {
+      "index": 652,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0652.png",
+      "answer": "(-2,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x)",
+      "coords": {}
+    },
+    {
+      "index": 653,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0653.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;L: Line;M: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G), L);IsPerpendicular(L,xAxis);Intersection(L,G) = {N, M};IsDiameter(LineSegmentOf(M,N),H);PointOnCurve(LeftVertex(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 654,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0654.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(F1, P), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 655,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0655.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = -4*x);F: Point;Focus(C) = F;A: Point;Coordinate(A) = (-2, 1);P: Point;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 656,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0656.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;b: Number;a: Number;F: Point;Expression(G) = (y^2 = 4*x);a>0;b>0;Expression(H) = (b + a*x + y - 1 = 0);Focus(G) = F;PointOnCurve(F, H)",
+      "coords": {}
+    },
+    {
+      "index": 657,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0657.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;M: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(M, C);XCoordinate(M) = 2",
+      "coords": {}
+    },
+    {
+      "index": 658,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0658.png",
+      "answer": "{9/16, 3/2}",
+      "fact_expr": "C: Parabola;A: Point;M: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (2, 3/2);Focus(C) = F;PointOnCurve(M, C);WhenMin(Abs(LineSegmentOf(M,A))+Abs(LineSegmentOf(M,F)))",
+      "coords": {
+        "A": [
+          2.0,
+          1.5
+        ]
+      }
+    },
+    {
+      "index": 659,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0659.png",
+      "answer": "English:",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(Asymptote(G)) = (y = pm*(x/2))",
+      "coords": {}
+    },
+    {
+      "index": 660,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0660.png",
+      "answer": "pm*(3/4)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;k:Number;A: Point;B: Point;M: Point;F:Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(M, l);Intersection(Directrix(C), xAxis) = M;Slope(l)=k;Intersection(l,C)={A,B};Abs(LineSegmentOf(A, M)) = (5/4)*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 661,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0661.png",
+      "answer": "x-2*y+3=0",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;Expression(G) = (x^2/8 + y^2/4 = 1);Intersection(l, G) = {A, B};Coordinate(MidPoint(LineSegmentOf(A, B))) = (-1,1)",
+      "coords": {}
+    },
+    {
+      "index": 662,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0662.png",
+      "answer": "y = pm*(sqrt(5)/2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(H) = (y^2 = 12*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 663,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0663.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G1: Hyperbola;Expression(G1) = (-y^2/b^2 + x^2/a^2 = 1);G2: Hyperbola;Expression(G2) = (y^2/b^2 - x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;e1: Number;e2: Number;Eccentricity(G1) = e1;Eccentricity(G2) = e2",
+      "coords": {}
+    },
+    {
+      "index": 664,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 665,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 666,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/dev/hyperbola/problem_0666.png",
+      "answer": "x^2/2 - y^2/4 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;B: Point;A: Point;D: Point;F2: Point;L:Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 2);PointOnCurve(P,C);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(F2,L);IsPerpendicular(L,xAxis);Intersection(L,C)={A,B};Intersection(LineSegmentOf(F1, B), yAxis) = D;IsPerpendicular(LineSegmentOf(A, D), LineSegmentOf(F1, B))",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 667,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0667.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;B: Point;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(MidPoint(LineSegmentOf(A,B))) = (1, 2);Slope(l)=-1/3;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 668,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0668.png",
+      "answer": "x^2/9 - y^2/36 = 1",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;Q: Point;F: Point;M: Point;N: Point;l:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F;PointOnCurve(F,l);IsPerpendicular(l,OneOf(Asymptote(G)));FootPoint(l,OneOf(Asymptote(G)))=Q;Intersection(LineOf(F,Q), LeftPart(G)) = M;Intersection(LineOf(F,Q), RightPart(G)) = N;Abs(LineSegmentOf(M, Q)) = 3*Abs(LineSegmentOf(Q, N));Abs(LineSegmentOf(F, N)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 669,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/circle/problem_0669.png",
+      "answer": "2*x-3*y+25=0",
+      "fact_expr": "C: Circle;Expression(C) = (x^2 + y^2 = 25);M: Point;l: Line;Coordinate(M) = (-2, 3);PointOnCurve(M, l);A: Point;B: Point;Intersection(l, C) = {A, B};L1: Line;L2: Line;TangentOnPoint(A,C)=L1;TangentOnPoint(B,C)=L2;N: Point;Intersection(L1, L2) = N",
+      "coords": {}
+    },
+    {
+      "index": 670,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 671,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 672,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0672.png",
+      "answer": "(1, 1/4)",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;F: Point;Expression(G) = (y = x^2/4);Coordinate(Q) = (1, 1);Focus(G) = F;PointOnCurve(P, G);WhenMin(Perimeter(TriangleOf(P, Q, F)))",
+      "coords": {
+        "Q": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 673,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0673.png",
+      "answer": "x^2-y^2/4=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = b;FocalLength(G) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 674,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0674.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;l: Line;A: Point;B: Point;F: Point;M: Point;N: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = pi/3;Directrix(G) = l;MidPoint(LineSegmentOf(A, B)) = M;Projection(M, l) = N",
+      "coords": {}
+    },
+    {
+      "index": 675,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0675.png",
+      "answer": "pm*sqrt(35)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = 2;F: Point;RightFocus(C) = F;G: Line;PointOnCurve(F, G);k: Number;Slope(G) = k;A: Point;B: Point;Intersection(G, RightPart(C)) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 676,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0676.png",
+      "answer": "3/5",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (x^2/3 + y^2/4 = 1);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 677,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0677.png",
+      "answer": "[4 + sqrt(61), +oo)",
+      "fact_expr": "G: Hyperbola;H: Circle;M: Point;F1: Point;F2: Point;A: Point;Expression(H) = (x^2 + (y - 6)^2 = 4);Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, H);PointOnCurve(M, RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 678,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0678.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Coordinate(LeftFocus(G))=(-2,0)",
+      "coords": {}
+    },
+    {
+      "index": 679,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 680,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0680.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);P: Point;Coordinate(P) = (3/2, 1);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.5,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 681,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 682,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0682.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G) = True;H: Line;Expression(H) = (x + 2 = 0);Distance(P, H) = 5;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 683,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0683.png",
+      "answer": "(0, -1)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -4*y)",
+      "coords": {}
+    },
+    {
+      "index": 684,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 685,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0685.png",
+      "answer": "sqrt(21)/9",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;VectorOf(A, F1) = 2*VectorOf(F1, B);AngleOf(F1, A, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 686,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0686.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 3*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(30, degree);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 687,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0687.png",
+      "answer": "{x+y-1=0,x-y-1=0}",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;Expression(C) = (y^2 = 4*x);PointOnCurve(Focus(C),l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 688,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0688.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/9 - y^2/b^2 = 1);b: Number;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};A: Point;x0: Number;Coordinate(A) = (x0, 4);x0>0;PointOnCurve(A, C);Area(TriangleOf(F1, A, F2)) = 20;e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 689,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0689.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);H: Circle;Expression(H) = (x^2 + (y - 3)^2 = 1);L: Line;TangentOfPoint(P, H) = L;A: Point;TangentPoint(L, H) = A",
+      "coords": {}
+    },
+    {
+      "index": 690,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0690.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;G: Line;A: Point;F: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);Expression(G) = (x = 2);RightFocus(C)=F;PointOnCurve(A, G);Intersection(LineSegmentOf(A,F), C) = B;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 691,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0691.png",
+      "answer": "(2/3)*sqrt(6)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;e:Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Inclination(OneOf(Asymptote(G)))=pi/3;Eccentricity(G)=e",
+      "coords": {}
+    },
+    {
+      "index": 692,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0692.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Ellipse;C:Curve;H: Point;Coordinate(H) = (-3, 2);PointOnCurve(H, G);Expression(C)=(x^2/9 + y^2/4 = 1);Focus(G)=Focus(C)",
+      "coords": {
+        "H": [
+          -3.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 693,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0693.png",
+      "answer": "(2, 4)",
+      "fact_expr": "G: Ellipse;b: Real;H: Line;k: Number;b>0;Expression(G) = (x^2/16 + y^2/b^2 = 1);Expression(H) = (y = k*x + 2);PointOnCurve(Focus(G), xAxis);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 694,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0694.png",
+      "answer": "-4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), l);Intersection(l, G) = {A,B};x1:Number;y1:Number;x2:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0695.png",
+      "answer": "(pm*sqrt(7),0)",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Expression(Asymptote(G)) = (y = pm*(x*(sqrt(3)/2)))",
+      "coords": {}
+    },
+    {
+      "index": 696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0696.png",
+      "answer": "y=-1/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 697,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0697.png",
+      "answer": "7/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 6*Abs(LineSegmentOf(P, F2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 698,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0698.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F: Point;D: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;Intersection(RightDirectrix(G), xAxis) = D;PointOnCurve(P,G);AngleOf(P,F,D)=ApplyUnit(60,degree);Sin(AngleOf(P, D, F)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 699,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 700,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 701,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 702,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0702.png",
+      "answer": "21",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/25 + y^2/16 = 1);G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};Focus(E) = {F1, F2};P: Point;OneOf(Intersection(E, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 703,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 704,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0704.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Ellipse;F1: Point;A: Point;B: Point;Expression(G) = (x^2/2 + y^2/4 = 1);OneOf(Focus(G)) = F1;Negation(PointOnCurve(F1, l));Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 705,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 706,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 707,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0707.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G))=(y=pm*x);Coordinate(OneOf(Focus(G))) = (4*sqrt(2), 0)",
+      "coords": {}
+    },
+    {
+      "index": 708,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0708.png",
+      "answer": "m - a^2",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/n + x^2/m = 1);m: Number;n: Number;m > n;n > 0;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(H) = F1;RightFocus(H) = F2;LeftFocus(G) = F1;RightFocus(G)= F2;P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 709,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0709.png",
+      "answer": "(sqrt(2)/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(G) = F;Coordinate(F) = (-c, 0);c: Number;H: Circle;Center(H) = F;Radius(H) = c;NumIntersection(H,LeftDirectrix(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 710,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 711,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0711.png",
+      "answer": "[-11/5,1]",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};LeftVertex(G)=A;UpperVertex(G)=B;PointOnCurve(P, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 712,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.552875593585339,
+        "b": 2.3303634978370953,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3057248743840209e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/dev/hyperbola/problem_0712.png",
+      "answer": "sqrt(13)/2, sqrt(13)/3",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(3/2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 713,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0713.png",
+      "answer": "y=pm*(sqrt(3)/3*x)",
+      "fact_expr": "G: Hyperbola;C:Parabola;b: Number;Expression(C)=(y^2 = 16*x);Expression(G) = (x^2/12 - y^2/b^2 = 1);Focus(C) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 714,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0714.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;a: Number;G: Parabola;l: Line;e: Number;Expression(C) = (-y^2 + x^2/a^2 = 1);Expression(G) = (y^2 = 8*x);Directrix(G) = l;IsTangent(l, C);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 715,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0715.png",
+      "answer": "y^2/2 - x^2/4 = 1",
+      "fact_expr": "G: Hyperbola;M: Point;C:Hyperbola;Expression(G) = (x^2 - 2*y^2 = 2);Coordinate(M) = (2,-2);Asymptote(C) = Asymptote(G);PointOnCurve(M,C)",
+      "coords": {
+        "M": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 716,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 717,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 718,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0718.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;G: Circle;PointOnCurve(Center(G), C);O: Origin;PointOnCurve(O, G);IsTangent(G, Directrix(C));H: Line;Expression(H) = (x - sqrt(2)*y = 0);Length(InterceptChord(H, G)) = 2*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 719,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0719.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C:Hyperbola;l:Line;a,b:Number;e:Number;a>0;b>0;Expression(C)=(x^2/a^2-y^2/b^2=1);Expression(l)=(x-2*y+2020=0);IsPerpendicular(OneOf(Asymptote(C)),l)=True;Eccentricity(C)=e",
+      "coords": {}
+    },
+    {
+      "index": 720,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0720.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;LeftFocus(G) = F1;RightFocus(G) = F2;OneOf(Intersection(H, G)) = P;P: Point;IsDiameter(LineSegmentOf(F1, F2), H);H: Circle;AngleOf(P, F1, F2) = 2*AngleOf(P, F2, F1)",
+      "coords": {}
+    },
+    {
+      "index": 721,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0721.png",
+      "answer": "3*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Circle;F: Point;P: Point;Expression(G) = (y = x^2/8);Expression(H) = ((x + 3)^2 + (y + 3)^2 = 16);Focus(G) = F;L: Line;TangentOfPoint(F, H) = L;TangentPoint(H, L) = P",
+      "coords": {}
+    },
+    {
+      "index": 722,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0722.png",
+      "answer": "4\n1",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 723,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0723.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);x1: Number;y1: Number;P: Point;Coordinate(P) = (x1, y1);PointOnCurve(P, G);A: Point;Coordinate(A) = (3, 0);M: Point;Abs(VectorOf(A, M)) = 1;DotProduct(VectorOf(P, M), VectorOf(A, M)) = 0",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 724,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0724.png",
+      "answer": "x^2/36 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/64 + y^2/16 = 1);Focus(G)=Focus(H);Expression(Asymptote(G))=(x+pm*sqrt(3)*y=0)",
+      "coords": {}
+    },
+    {
+      "index": 725,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0725.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Ellipse;a: Number;P: Point;F1:Point;F2:Point;x0:Number;a>2;Expression(C) = (y^2/4 + x^2/a^2 = 1);Coordinate(P) = (x0, 1);PointOnCurve(P, C);Focus(C)={F1,F2};Area(TriangleOf(P,F1,F2))=1",
+      "coords": {}
+    },
+    {
+      "index": 726,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0726.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;a: Number;b: Real;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P, C);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(F1, P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 727,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 728,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0728.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 729,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0729.png",
+      "answer": "sqrt(5);3",
+      "fact_expr": "G: Ellipse;O: Origin;M: Point;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(M, G)",
+      "coords": {}
+    },
+    {
+      "index": 730,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0730.png",
+      "answer": "(1/2, +oo)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);Negation(IsPerpendicular(LineSegmentOf(A, B), xAxis))",
+      "coords": {}
+    },
+    {
+      "index": 731,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0731.png",
+      "answer": "7/3",
+      "fact_expr": "G: Ellipse;H: Line;M: Point;O: Origin;B: Point;A: Point;Expression(G) = (x^2/9 + y^2/7 = 1);Slope(H)=-1/3;Negation(PointOnCurve(O,H));Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {}
+    },
+    {
+      "index": 732,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0732.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;H: Point;I: Point;O: Origin;0 < a;a < b;c: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (a, 0);Coordinate(I) = (0, b);HalfFocalLength(G) = c;PointOnCurve(H, l);PointOnCurve(I, l);Distance(O, l) = (3/4)*c",
+      "coords": {}
+    },
+    {
+      "index": 733,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 734,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0734.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F2: Point;P: Point;M: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;L:Line;PointOnCurve(F2,L);IsPerpendicular(Asymptote(C),L);FootPoint(Asymptote(C),L)=M;Intersection(L,RightPart(C))=P;VectorOf(F2, P) = 2*VectorOf(P, M);AngleOf(F1, P, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 735,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0735.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;O: Origin;l: Line;PointOnCurve(O, l);Inclination(l) = ApplyUnit(60, degree);M: Point;OneOf(Intersection(l, C)) = M;Abs(VectorOf(M, F1) + VectorOf(M, F2)) = Abs(VectorOf(M, F1) - VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 736,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0736.png",
+      "answer": "8",
+      "fact_expr": "C1: Hyperbola;C2: Parabola;a:Number;b:Number;p:Number;p>0;a>0;b>0;Expression(C1)=(x^2/a^2-y^2/b^2=1);Eccentricity(C1)=2;Expression(C2)=(x^2=2*(p*y));Distance(Focus(C2),Asymptote(C1))=2",
+      "coords": {}
+    },
+    {
+      "index": 737,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 738,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/dev/ellipse/problem_0738.png",
+      "answer": "{3,16/3}",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);m: Number;Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 739,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 740,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0740.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;y1: Number;y2: Number;Coordinate(A) = (1, y1);Coordinate(B) = (9, y2);PointOnCurve(A, G);PointOnCurve(B, G);y2>y1;y1>0;F: Point;Focus(G) = F;Abs(LineSegmentOf(B, F)) = 5*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 741,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0741.png",
+      "answer": "(-oo,2]",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);Q: Point;PointOnCurve(Q, G);P: Point;Coordinate(P) = (a, 0);a: Number;Abs(LineSegmentOf(P, Q)) >= Abs(a)",
+      "coords": {}
+    },
+    {
+      "index": 742,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0742.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;O: Point;P: Point;F: Point;Expression(G) = (x^2/2 + y^2 = 1);Center(G) = O;LeftFocus(G) = F;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 743,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0743.png",
+      "answer": "8;x = -4",
+      "fact_expr": "C: Parabola;p: Number;G: Line;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (x + 2*y - 4 = 0);PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 744,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 745,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0745.png",
+      "answer": "pm*3*sqrt(2)/3",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(M, G);Abs(LineSegmentOf(M, F)) = 3;Coordinate(N) = (-2, 0)",
+      "coords": {
+        "N": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 746,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 747,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0747.png",
+      "answer": "y^2 = 4*sqrt(5)*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2 - y^2/4 = 1);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 748,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 749,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0749.png",
+      "answer": "(0, sqrt(6)/3]",
+      "fact_expr": "F1: Point;F2: Point;b: Number;a: Number;a > b;b > 0;H: Line;P: Point;c: Number;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Expression(H) = (x = (2*a^2)/c);PointOnCurve(P, H);Abs(LineSegmentOf(P, F2)) = 2*c;LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 750,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0750.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "F:Point;G:Parabola;Expression(G) = (x^2=4*y);B: Point;Coordinate(B) = (0,-1);A:Point;PointOnCurve(A,G) = True;WhenMin(Abs(LineSegmentOf(A,F)) / Abs(LineSegmentOf(A,B))) = True;Focus(G) = F",
+      "coords": {
+        "B": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 751,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0751.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;m: Real;Expression(G) = (y^2 = m*x);Coordinate(Focus(G))=(1/2,0)",
+      "coords": {}
+    },
+    {
+      "index": 752,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0752.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (y^2/9 + x^2/a^2 = 1);Focus(G) = {F1, F2};Abs(LineSegmentOf(F1, F2)) = 8;PointOnCurve(F1, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B), G);a:Number",
+      "coords": {}
+    },
+    {
+      "index": 753,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0753.png",
+      "answer": "x+2*y-8=0",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(MidPoint(InterceptChord(l,G)))=(4,2)",
+      "coords": {}
+    },
+    {
+      "index": 754,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0754.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Expression(H) = (y^2 = 12*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 755,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0755.png",
+      "answer": "[-2/3,0)",
+      "fact_expr": "F: Point;M: Hyperbola;Expression(M) = (x^2/9 - y^2/16 = 1);LeftFocus(M) = F;O: Origin;PointOnCurve(O, l) = True;l: Line;Intersection(l,LeftPart(M)) = A;Intersection(l, RightPart(M)) = B;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 756,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0756.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;D: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Intersection(Directrix(C), xAxis) = A;TangentOfPoint(A,C)=LineOf(A,B);TangentPoint(LineOf(A,B),C)=B;Quadrant(B)=1;PointOnCurve(D,C);Quadrant(D)=4;IsParallel(LineSegmentOf(D,F),LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 757,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/dev/hyperbola/problem_0757.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/b^2 = 1);b: Number;b>0;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 758,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0758.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 759,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 760,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/dev/hyperbola/problem_0760.png",
+      "answer": "x^2-y^2/4=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Expression(OneOf(Asymptote(G))) = (y = 2*x);Distance(Focus(G), Asymptote(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 761,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0761.png",
+      "answer": "{2,(2*sqrt(3)/3)}",
+      "fact_expr": "F: Point;C: Hyperbola;a: Number;b: Number;a>0;b>0;l: Line;A: Point;B: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F, l);Slope(l) = a/b;l1: Line;l2: Line;Asymptote(C) = {l1, l2};Intersection(l, l1) = A;Intersection(l,l2) = B;Abs(VectorOf(A, F)) = 2*Abs(VectorOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 762,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0762.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (-y^2/3 + x^2/m = 1);Expression(OneOf(Asymptote(G))) = (y = x*(sqrt(3)/2))",
+      "coords": {}
+    },
+    {
+      "index": 763,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0763.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/3 + y^2/t^2 = 1);t: Real;t>0;H: Parabola;Expression(H) = (y = x^2/8);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 764,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 765,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0765.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(Center(H), G);PointOnCurve(RightVertex(G),H);PointOnCurve(RightFocus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 766,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0766.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Line;Expression(G) = (y = (1/2)*x + 1);C: Parabola;Expression(C) = (x^2 = 4*y);A: Point;B: Point;Intersection(G, C) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 767,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 768,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0768.png",
+      "answer": "x - y + 2 = 0",
+      "fact_expr": "G: Parabola;l: Line;P1: Point;P2: Point;Expression(G) = (x^2 = y);IsChordOf(LineSegmentOf(P1, P2), G);PerpendicularBisector(LineSegmentOf(P1, P2)) = l;Expression(l) = (y = x + 3)",
+      "coords": {}
+    },
+    {
+      "index": 769,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 14.875267028808594,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 7.913284778594971,
+        "converged": false,
+        "iterations": 500
+      },
+      "output_path": "results/dev/parabola/problem_0769.png",
+      "answer": "(-4,0)",
+      "fact_expr": "G: Parabola;a: Number;H: Point;Expression(G) = (y^2 = 2*(a*x));Coordinate(H) = (-1, 4);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          -1.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 770,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0770.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 771,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0771.png",
+      "answer": "2",
+      "fact_expr": "A1: Point;A2: Point;G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a>1;LeftVertex(G) = A1;RightVertex(G) = A2;P: Point;PointOnCurve(P, G) = True;k1: Number;Slope(LineOf(P,A1)) = k1;k2: Number;Slope(LineOf(P,A2)) = k2;k1 * k2 = -1/4;a: Real",
+      "coords": {}
+    },
+    {
+      "index": 772,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0772.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;H: Line;m: Number;F1: Point;A: Point;B: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (x = m);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 773,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0773.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Line;A: Point;F1: Point;F2: Point;B: Point;a>b;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, G);Intersection(G,RightPart(C)) = {A, B};Abs(LineSegmentOf(A, F1)) = 2*Abs(LineSegmentOf(A, F2));AngleOf(A, F1, F2) = AngleOf(F1, B, F2)",
+      "coords": {}
+    },
+    {
+      "index": 774,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0774.png",
+      "answer": "1/2",
+      "fact_expr": "P: Point;a: Number;b: Number;Coordinate(P) = (a, b);G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);PointOnCurve(P, RightPart(G));Distance(P,Asymptote(G)) = (sqrt(2))",
+      "coords": {}
+    },
+    {
+      "index": 775,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0775.png",
+      "answer": "x^2/12-y^2/8=1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/5 = 1);Focus(H) = Focus(G);I: Point;Coordinate(I) = (3*sqrt(2), 2);PointOnCurve(I, G);G: Hyperbola",
+      "coords": {
+        "I": [
+          4.242640687119286,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 776,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0776.png",
+      "answer": "y^2=2*x",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F, l);Inclination(l) = pi/4;Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 777,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0777.png",
+      "answer": "{(4,4),(4,-4)}",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Focus(G)=F;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 778,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0778.png",
+      "answer": "3/4",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);Intersection(l, G) = {A, B};B: Point;A: Point;M: Point;Coordinate(M)=(1,-1);MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 779,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0779.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Real;H: Point;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (-2, 4);PointOnCurve(H, Directrix(G))",
+      "coords": {
+        "H": [
+          -2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 780,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0780.png",
+      "answer": "(1/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;c: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 + (-c + x)^2 = c^2);c=sqrt(a^2-b^2);NumIntersection(H,G)=2",
+      "coords": {}
+    },
+    {
+      "index": 781,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0781.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "O: Origin;F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;Expression(l) = (y = m*(x - 1));m: Number;Intersection(l, G) = {A, B};A: Point;B: Point;Quadrant(A) = 1;Abs(LineSegmentOf(F, A)) = 3*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 782,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0782.png",
+      "answer": "1",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = 8*y);G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 783,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0783.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;A: Point;P: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (4, 2);Focus(C) = F;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 784,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0784.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;B: Point;F: Point;A: Point;O: Origin;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;L1:Line;L2:Line;Asymptote(G)={L1,L2};PointOnCurve(A,L1);PointOnCurve(B,L2);VectorOf(B,F)=2*VectorOf(F,A);DotProduct(VectorOf(O, A), VectorOf(A, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 785,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0785.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;M: Point;N: Point;C:Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(LeftFocus(G), H);IsPerpendicular(H,xAxis);Intersection(H, G) = {M, N};IsDiameter(LineSegmentOf(M,N),C);PointOnCurve(RightVertex(G),C)",
+      "coords": {}
+    },
+    {
+      "index": 786,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 787,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 788,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0788.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (2, sqrt(3));PointOnCurve(H, OneOf(Asymptote(G)))",
+      "coords": {
+        "H": [
+          2.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 789,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0789.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Tan(AngleOf(P, F1, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 790,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0790.png",
+      "answer": "4/3",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a > 0;b > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F1, l);l1, l2: Line;Asymptote(C) = {l1, l2};A: Point;B: Point;Intersection(l, l1) = A;Intersection(l, l2) = B;3*VectorOf(F1, A) = 2*VectorOf(A, B);DotProduct(VectorOf(F1, B), VectorOf(F2, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 791,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0791.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A,G) = True;PointOnCurve(B, G) = True;AngleOf(A, F, B) = pi/2;IsChordOf(LineSegmentOf(A, B), G) = True;MidPoint(LineSegmentOf(A,B)) = M;M: Point;Projection(M,Directrix(G)) = N;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 792,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0792.png",
+      "answer": "((2-sqrt(2))/4, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;OneOf(Focus(G)) = F;H: Line;Expression(H) = (y = k*x);k: Number;A: Point;B: Point;Intersection(H, G) = {A, B};AngleOf(A, F, B) = ApplyUnit(135, degree);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 793,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 794,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0794.png",
+      "answer": "16",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F:Point;Expression(C) = (y^2 = 4*x);Focus(C)=F;PointOnCurve(F,G);Slope(G) = sqrt(3)/3;Intersection(G,C)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 795,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0795.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(E)=F1;RightFocus(E)=F2;PointOnCurve(M, E);IsPerpendicular(LineSegmentOf(M,F1),xAxis);Sin(AngleOf(M, F2, F1)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0796.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G) ;Focus(G) = F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 797,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0797.png",
+      "answer": "sqrt(7)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;N: Point;PointOnCurve(M, LeftPart(C)) = True;PointOnCurve(N, RightPart(C)) = True;IsParallel(LineSegmentOf(M, N), LineSegmentOf(F1, F2)) = True;Abs(LineSegmentOf(M, N)) = Abs(LineSegmentOf(F1, F2))/2;Intersection(LineSegmentOf(F1, N), C) = Q;Q: Point;Abs(LineSegmentOf(F1, Q)) = (2/5)*Abs(LineSegmentOf(F1, N))",
+      "coords": {}
+    },
+    {
+      "index": 798,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0798.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/6 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l) = True;l: Line;Intersection(l, LeftPart(G)) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 799,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0799.png",
+      "answer": "5/7",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/36 + y^2/b^2 = 1);b: Number;F1: Point;F2: Point;Focus(C1) = {F1, F2};C2: Parabola;Expression(C2) = (y^2 = 2*p*x);p: Number;p > 0;Focus(C2) = F2;P: Point;Intersection(C1, C2) = P;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 800,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/dev/hyperbola/problem_0800.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 801,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 802,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0802.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 32",
+      "coords": {}
+    },
+    {
+      "index": 803,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 804,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0804.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 12*y);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (2, 1);A: Point;B: Point;l: Line;PointOnCurve(P, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 805,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0805.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;N: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(N) = (0, 2);Eccentricity(C) = sqrt(2)/2;IsIntersect(G,C) = True;Center(G) = N;Max(Radius(G)) = sqrt(26)",
+      "coords": {
+        "N": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 806,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0806.png",
+      "answer": "(1, 1/4)",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;Expression(G) = (x^2 = 4*y);Coordinate(Q) = (1, 2);PointOnCurve(P, G);WhenMin(Distance(P, Q) + Distance(P, Focus(G)))",
+      "coords": {
+        "Q": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 807,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0807.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;P: Point;O:Origin;Expression(G) = (y = x);Coordinate(P) = (2, 2);Vertex(C)=O;PointOnCurve(Focus(C), xAxis);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 808,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/dev/hyperbola/problem_0808.png",
+      "answer": "y = pm*(sqrt(2)/4)*x",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (y^2/16 - x^2/m = 1);Eccentricity(G) = 3",
+      "coords": {}
+    },
+    {
+      "index": 809,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0809.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;P: Point;F: Point;x0:Number;y0:Number;Expression(C) = (y^2 = 4*x);Coordinate(P) = (x0, y0);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 810,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0810.png",
+      "answer": "24/7",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(l) = (x - y + 1 = 0);Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 811,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0811.png",
+      "answer": "3/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 5*a;AngleOf(P, F, O) = ApplyUnit(120, degree);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 812,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0812.png",
+      "answer": "x^2/2-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Length(ImageinaryAxis(G)) = 2;FocalLength(G) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 813,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0813.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (0, 1);PointOnCurve(P, G);Distance(P,Directrix(G))=d;d:Number",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 814,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/dev/hyperbola/problem_0814.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Coordinate(H) = (-3*sqrt(2), 2);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          -4.242640687119286,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 815,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0815.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (-y^2/4 + x^2/m = 1);Expression(OneOf(Asymptote(G))) = (y = x)",
+      "coords": {}
+    },
+    {
+      "index": 816,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0816.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);H: Line;PointOnCurve(Focus(G), H);IsPerpendicular(H, xAxis);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 817,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0817.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Curve;P: Point;Coordinate(P) = (x1, y1);Expression(C) = (x^2 + y^2/3 = 1);x1:Number;y1:Number;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 818,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0818.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Ellipse;P: Point;M: Point;N: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Endpoint(MajorAxis(G))={M,N};PointOnCurve(P,G);Negation(M=P);Negation(N=P)",
+      "coords": {}
+    },
+    {
+      "index": 819,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0819.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;A: Point;B: Point;M: Point;N: Point;F: Point;p>0;Focus(G)=F;PointOnCurve(A,G);PointOnCurve(B,G);AngleOf(A, F, B) = ApplyUnit(60, degree);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M;IsPerpendicular(LineSegmentOf(M,N),Directrix(G));FootPoint(LineSegmentOf(M,N),Directrix(G))=N;PointOnCurve(M, LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 820,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 821,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 822,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0822.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;A: Point;B: Point;O: Origin;M: Point;F1:Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);RightVertex(E)=A;UpperVertex(E)=B;LeftFocus(E)=F1;PointOnCurve(M, E);L:Line;PointOnCurve(M,L);IsPerpendicular(L,xAxis);PointOnCurve(F1,L);IsParallel(LineSegmentOf(A, B),LineSegmentOf(O,M))",
+      "coords": {}
+    },
+    {
+      "index": 823,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0823.png",
+      "answer": "2*y - 1 = 0",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -2*y)",
+      "coords": {}
+    },
+    {
+      "index": 824,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0824.png",
+      "answer": "2022",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (2021, t);PointOnCurve(P, G);Focus(G) = F;t:Number",
+      "coords": {}
+    },
+    {
+      "index": 825,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 826,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 827,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0827.png",
+      "answer": "(sqrt(2)-1, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;c: Number;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);a/Sin(AngleOf(P, F1, F2)) = c/Sin(AngleOf(P, F2, F1))",
+      "coords": {}
+    },
+    {
+      "index": 828,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0828.png",
+      "answer": "(pm*sqrt(2), 0)\ny = pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 829,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0829.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);F1:Point;F2:Point;LeftFocus(G)=F1;RightFocus(G)=F2;a: Number;a>1;A:Point;B:Point;M:Point;N:Point;PointOnCurve(M, G);PointOnCurve(N, G);Max(Area(TriangleOf(M, A, B))) = 4*(1 + sqrt(2)) ;LeftVertex(G)=A;UpperVertex(G)=B",
+      "coords": {}
+    },
+    {
+      "index": 830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.5,
+        "b": 0.8660254037844386,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0830.png",
+      "answer": "x^2/5 + y^2/4 = 1",
+      "fact_expr": "l: Line;G: Hyperbola;H: Ellipse;P: Point;Expression(G) = (12*x^2 - 4*y^2 = 3);Expression(l) = (y = x + 3);PointOnCurve(P, l);PointOnCurve(P, H);Focus(G) = Focus(H);WhenMin(MajorAxis(H))",
+      "coords": {}
+    },
+    {
+      "index": 831,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0831.png",
+      "answer": "sqrt(3)/2 + 1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 832,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0832.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;p: Number;O: Origin;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));F: Point;Focus(G) = F;PointOnCurve(F, l);Slope(l) = 2;Intersection(l, G) = {A, B};Area(TriangleOf(O, A, B)) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 833,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0833.png",
+      "answer": "32",
+      "fact_expr": "C: Ellipse;P: Point;F2: Point;F1: Point;Expression(C) = (x^2/25 + y^2/16 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);DotProduct(VectorOf(P, F1),VectorOf(P, F2))=0",
+      "coords": {}
+    },
+    {
+      "index": 834,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 835,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 836,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 837,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0837.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - y^2/4 = 1);Expression(H) = (y = x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 838,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0838.png",
+      "answer": "{2,25/2}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 + y^2/m = 1);Eccentricity(G) = e ;e:Number;e= sqrt(15)/5",
+      "coords": {}
+    },
+    {
+      "index": 839,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0839.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;M: Point;x1:Number;y1:Number;l1:Line;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = (y^2 + (x - 3)^2 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G);TangentOfPoint(P,H)=l1;TangentPoint(l1,H)=M",
+      "coords": {}
+    },
+    {
+      "index": 840,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.1209959984138265,
+        "b": 2.1209959984138265,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 8.099017116797696e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/dev/hyperbola/problem_0840.png",
+      "answer": "x^2/4 - y^2/5 = 1",
+      "fact_expr": "C: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);Focus(C) = {F1,F2};G: Line;Expression(G) = (y = x*(sqrt(5)/2));OneOf(Asymptote(C)) = G",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 841,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0841.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Line;N: Point;F: Point;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y = 2);Focus(G) = F;Intersection(H, yAxis) = M;Intersection(H,G)=N;4*Abs(LineSegmentOf(N, F)) = 5*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 842,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0842.png",
+      "answer": "y^2 = -44*x",
+      "fact_expr": "G: Parabola;a: Number;M: Point;a<0;Expression(G) = (y^2 = a*x);Coordinate(M) = (5, 3);Distance(M, Directrix(G)) = 6",
+      "coords": {
+        "M": [
+          5.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 843,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0843.png",
+      "answer": "8",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = a*y);a: Number;G: Hyperbola;Expression(G) = (-x^2 + y^2 = 2);Focus(H) = UpperFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 844,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0844.png",
+      "answer": "(1/4, 1)",
+      "fact_expr": "C: Parabola;B: Point;Q: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(B) = (4, 1);PointOnCurve(Q, C);Focus(C) = F;WhenMin(Distance(Q, B) + Distance(Q, F))",
+      "coords": {
+        "B": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 845,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9999431050898532,
+        "b": 1.731428600448389,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.486633488920056e-05,
+        "converged": true,
+        "iterations": 80
+      },
+      "output_path": "results/dev/hyperbola/problem_0845.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "E: Hyperbola;Eccentricity(E) = 2;F1: Point;F2: Point;Focus(E) = {F1, F2};Coordinate(F1) = (-2, 0);Coordinate(F2) = (2, 0)",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 846,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0846.png",
+      "answer": "16",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Intersection(l, C) = {A, B};PointOnCurve(Focus(C),l);Inclination(l)=pi/6",
+      "coords": {}
+    },
+    {
+      "index": 847,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0847.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;p: Real;Expression(G) = (x^2/(16 - m) - y^2/(m + 20) = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 848,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 849,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 850,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 851,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/dev/hyperbola/problem_0851.png",
+      "answer": "x^2/4 - y^2/16 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;l:Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Asymptote(C))=l;Expression(l)=(y=2*x);Length(RealAxis(C))<6",
+      "coords": {}
+    },
+    {
+      "index": 852,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 853,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0853.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Circle;Expression(H) = (y^2 + (x - 3)^2 = 16);IsTangent(Directrix(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 854,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 6.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0854.png",
+      "answer": "y^2/9 - x^2/27 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(H) = (x^2 = 24*y);OneOf(Focus(G)) = Focus(H);Inclination(OneOf(Asymptote(G)))=ApplyUnit(30,degree)",
+      "coords": {}
+    },
+    {
+      "index": 855,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0855.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "C: Parabola;p: Number;B: Point;A: Point;M: Point;F:Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (2, -1);PointOnCurve(A, C);PointOnCurve(B, C);Focus(C)=F;Distance(A,F)+Distance(B,F)=6;MidPoint(LineSegmentOf(A,B)) = M;Negation(A=B)",
+      "coords": {
+        "M": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 856,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 857,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0857.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Inclination(OneOf(Asymptote(C)))=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 858,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/dev/hyperbola/problem_0858.png",
+      "answer": "4/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/(m + 4) + x^2/(2*m) = 1);m: Real;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 859,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0859.png",
+      "answer": "x^2/4-y^2/16=1\nsqrt(5)",
+      "fact_expr": "C: Hyperbola;a: Number;P: Point;F1: Point;F2: Point;a>0;Expression(C) = (-y^2/16 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 860,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0860.png",
+      "answer": "9/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/2);H: Ellipse;Expression(H) = (x^2/2 + y^2/m = 1);m: Number;Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 861,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0861.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (0, -1);H: Line;Expression(H) = (x = -1)",
+      "coords": {
+        "A": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 862,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0862.png",
+      "answer": "2*x-y-1=0",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);IsChordOf(LineSegmentOf(A,B),G);Coordinate(P) = (1, 1);MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 863,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0863.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 864,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0864.png",
+      "answer": "(2, pm*2*sqrt(2))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 865,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 866,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0866.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;H: Line;Expression(H) = (-sqrt(a*b) + a*x + b*y = 0);G: Circle;Expression(G) = (x^2 + y^2 = 2/5);IsTangent(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 867,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 868,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0868.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;A: Point;F: Point;B: Point;lambda:Number;Expression(G) = (x^2=4*y);Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);VectorOf(A, F) = lambda*VectorOf(F, B);Abs(VectorOf(A, F)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 869,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 870,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0870.png",
+      "answer": "y= 3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/6)",
+      "coords": {}
+    },
+    {
+      "index": 871,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0871.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y^2 + (x - 2)^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 872,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0872.png",
+      "answer": "15/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 5*x);A: Point;B: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;Distance(A, Focus(G)) + Distance(B, Focus(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 873,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 874,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0874.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;F: Point;Focus(G) = F;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};Negation(A=B);y0: Number;Coordinate(A) = (2, y0);Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 875,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0875.png",
+      "answer": "x^2/4 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);Z: Hyperbola;Asymptote(Z) = Asymptote(G);H: Point;Coordinate(H) = (2, 0);PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 876,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0876.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Area(TriangleOf(P, F1, F2)) = 2*(a*b);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 877,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0877.png",
+      "answer": "(pm*sqrt(7),0)",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Expression(Asymptote(G)) = (y = pm*(x*(sqrt(3)/2)))",
+      "coords": {}
+    },
+    {
+      "index": 878,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0878.png",
+      "answer": "[2,6]",
+      "fact_expr": "G: Ellipse;O: Point;P: Point;F: Point;Center(G)=O;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G)=F;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 879,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 880,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0880.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*p*x);Expression(H) = (x^2/5 + y^2/p^2 = 1);PointOnCurve(LeftFocus(H),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 881,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0881.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (x^2/9 - y^2/m^2 = 1);Distance(OneOf(Vertex(G)), OneOf(Asymptote(G))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 882,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0882.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 883,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 884,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 885,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0885.png",
+      "answer": "(sqrt(5) - 1)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;P: Point;F1: Point;F2: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;LowerVertex(C) = B;PointOnCurve(F1, G);PointOnCurve(F2, G);PointOnCurve(B, G);Intersection(G, C) = P;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 886,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 887,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 888,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0888.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/2 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 889,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0889.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Negation(Vertex(G) = P);AngleOf(P, F2, F1) = 3*AngleOf(P, F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 890,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0890.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Expression(OneOf(Asymptote(G))) = (y = x*(sqrt(3)/3));PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 891,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 892,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 893,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0893.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);x1: Number;y1: Number;M: Point;Coordinate(M) = (x1, y1);PointOnCurve(M, G);Distance(M, Focus(G)) = 3;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 894,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0894.png",
+      "answer": "x^2/(1/16)-y^2/(1/4)=1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(H) = (y = x^2);Expression(OneOf(Asymptote(G)))=(x+2*y=0);NumIntersection(G,Directrix(H)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 895,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 896,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0896.png",
+      "answer": "31",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Abs(LineSegmentOf(P, F1)) = 15",
+      "coords": {}
+    },
+    {
+      "index": 897,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0897.png",
+      "answer": "(x - 4)^2 + (y - 4)^2 = 25",
+      "fact_expr": "G: Parabola;p: Number;C: Circle;A: Point;F: Point;m: Number;p > 0;m > 0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (4, m);PointOnCurve(A, G);Focus(G) = F;Center(C) = A;Radius(C) = Abs(LineSegmentOf(A, F));Length(InterceptChord(C, yAxis)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 898,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0898.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;H: Circle;a: Number;Expression(G) = (x^2 - y^2 = 1);a > 0;Expression(H) = (y^2 + (x - 1)^2 = a^2);NumIntersection(G, H) = 3",
+      "coords": {}
+    },
+    {
+      "index": 899,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0899.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;C: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C) = (-8*x + x^2 + y^2 + 12 = 0);IsTangent(Asymptote(G), C);RightFocus(G) = Center(C)",
+      "coords": {}
+    },
+    {
+      "index": 900,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0900.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(H) = (y^2 = 12*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 901,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0901.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "F: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(G) = F;O: Origin;PointOnCurve(O, l) = True;l: Line;Intersection(l, G) = {M, N};M: Point;N: Point;DotProduct(VectorOf(M, F), VectorOf(N, F)) = 0;Area(TriangleOf(M, N, F)) = a*b",
+      "coords": {}
+    },
+    {
+      "index": 902,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0902.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "P: Point;PointOnCurve(P,C1) = True;C1: Curve;Expression(C1) = (y^2 = 8*x);Q: Point;PointOnCurve(Q,C2) = True;C2: Curve;Expression(C2) = (y^2 + (x - 2)^2 = 1);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 903,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0903.png",
+      "answer": "3",
+      "fact_expr": "K: Parabola;A: Point;B: Point;F: Point;Expression(K) = (x^2 = 4*y);PointOnCurve(A,K);PointOnCurve(B,K);Negation(YCoordinate(A)=YCoordinate(B));Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 4;Focus(K)=F",
+      "coords": {}
+    },
+    {
+      "index": 904,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0904.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);Abs(LineSegmentOf(P,F1))+Abs(LineSegmentOf(P,F2))=6",
+      "coords": {}
+    },
+    {
+      "index": 905,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0905.png",
+      "answer": "[sqrt(2), sqrt(3)+1]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;G: Line;Expression(G) = (y = k*x);k: Number;In(k, [sqrt(3)/3, sqrt(3)]);A: Point;B: Point;Intersection(G, C) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 906,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0906.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, RightPart(G));C1: Circle;Expression(C1) = ((x + 5)^2 + y^2 = 4);C2: Circle;Expression(C2) = ((x - 5)^2 + y^2 = r^2);r: Number;r>0;Z1: Line;Z2: Line;TangentOfPoint(P, C1) = Z1;TangentOfPoint(P, C2) = Z2;M: Point;TangentPoint(Z1, C1) = M;N: Point;TangentPoint(Z2, C2) = N;Min(Abs(LineSegmentOf(P, M))^2 - Abs(LineSegmentOf(P, N))^2) = 58",
+      "coords": {}
+    },
+    {
+      "index": 907,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0907.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Line;B: Point;A: Point;P: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C)=F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Intersection(PerpendicularBisector(LineSegmentOf(A,B)), xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 908,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0908.png",
+      "answer": "(1, 2] + [3, 6)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);P: Point;PointOnCurve(P, RightPart(G));Distance(P, LeftFocus(G)) = 6*Distance(P, RightDirectrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 909,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0909.png",
+      "answer": "x^2+(y-1)^2=3",
+      "fact_expr": "G: Parabola;H: Circle;I: Line;Expression(G) = (x^2 = 4*y);Expression(I) = (y = x + 3);Center(H)=Focus(G);Length(InterceptChord(I,H))=2",
+      "coords": {}
+    },
+    {
+      "index": 910,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0910.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;t: Number;t>1;Expression(G) = (y^2 + x^2/t = 1);F:Point;A:Point;B:Point;OneOf(Focus(G))=F;Endpoint(MinorAxis(G))={A,B};Area(TriangleOf(F,A,B))=1",
+      "coords": {}
+    },
+    {
+      "index": 911,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0911.png",
+      "answer": "(-2/3, 1/3)",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + 2*y^2 = 4);Expression(H) = (y = x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 912,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0912.png",
+      "answer": "3/2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;F: Point;M: Point;B: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Focus(C) = F;PointOnCurve(F, l);Intersection(l,C)={A,B};Intersection(l,Directrix(C))= M;VectorOf(A, F) = VectorOf(F, M)",
+      "coords": {}
+    },
+    {
+      "index": 913,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0913.png",
+      "answer": "2",
+      "fact_expr": "G: Line;C: Curve;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 2*x);Inclination(G) = ApplyUnit(60, degree);PointOnCurve(F, G);Intersection(G, C) = {A, B};Quadrant(A) = 1;Negation(A = B);Focus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 914,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0914.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;O: Origin;F: Point;A:Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;IsDiameter(LineSegmentOf(O,F),H);Intersection(OneOf(Asymptote(G)),H)=A;Negation(A=O);IsPerpendicular(LineSegmentOf(A,MidPoint(LineSegmentOf(O,F))),LineSegmentOf(O,F));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 915,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0915.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;M: Point;N: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);AngleOf(A, F, B) = ApplyUnit(60, degree);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M;PointOnCurve(M,LineSegmentOf(M,N));IsPerpendicular(LineSegmentOf(M,N),Directrix(G));FootPoint(LineSegmentOf(M,N),Directrix(G))=N",
+      "coords": {}
+    },
+    {
+      "index": 916,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 917,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0917.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: LineSegment;Expression(G) = (y^2 = 2*p*x);Coordinate(Z) = (3, 1);Z: Point;MidPoint(H) = Z;IsChordOf(H,G);Slope(OverlappingLine(H))=2",
+      "coords": {
+        "Z": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 918,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0918.png",
+      "answer": "y^2/8 - x^2/4 = 1",
+      "fact_expr": "C1: Hyperbola;C2: Hyperbola;H: Point;Expression(C1) = (x^2/4 - y^2/8 = 1);Coordinate(H) = (2, 4);Asymptote(C1)=Asymptote(C2);PointOnCurve(H,C2)",
+      "coords": {
+        "H": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 919,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0919.png",
+      "answer": "24*sqrt(13)/13",
+      "fact_expr": "G: Ellipse;H: Line;Q: Point;Expression(G) = (x^2/4 + y^2/7 = 1);Expression(H) = (3*x - 2*y - 16 = 0);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 920,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0920.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (y^2 = 4*x);Expression(H) = (y^2 + (x - 2)^2 = 4);C:Line;PointOnCurve(Focus(G),C)",
+      "coords": {}
+    },
+    {
+      "index": 921,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 922,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 923,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0923.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;F1: Point;F2:Point;Expression(G) = (x^2 - y^2/3 = 1);Coordinate(Q) = (-2, 3);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,RightPart(G))",
+      "coords": {
+        "Q": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 924,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0924.png",
+      "answer": "(y - x^2)*(1 + 4*x^2) = 1",
+      "fact_expr": "C: Parabola;B: Point;A: Point;P1: Point;P2: Point;M: Point;Expression(C) = (y = x^2);Length(LineSegmentOf(A, B)) = 2;Endpoint(LineSegmentOf(A, B)) = {P1, P2};PointOnCurve(P1, C);PointOnCurve(P2, C);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 925,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 926,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0926.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/2 + x^2/a^2 = 1);a: Number;a>sqrt(2);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H) = True;Slope(H) = -2;Intersection(H, G) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P;P: Point;O: Origin;Slope(LineOf(O, P)) = 1/4",
+      "coords": {}
+    },
+    {
+      "index": 927,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 928,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0928.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;B: Point;A: Point;M: Point;P: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (0, 1);PointOnCurve(P, Directrix(C));L1:Line;L2:Line;TangentOfPoint(P, C) = {L1,L2};TangentPoint(L1,C)=A;TangentPoint(L2,C)=B",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 929,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0929.png",
+      "answer": "{((x-1)^2+y^2=2),((x+1)^2+y^2=2)}",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;Intersection(Directrix(G), yAxis) = Q;Q: Point;PointOnCurve(Q, L) = True;L: Line;TangentPoint(L, G) = P;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 930,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 931,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0931.png",
+      "answer": "1",
+      "fact_expr": "C: Hyperbola;F2: Point;Expression(C) = (x^2/4 - y^2 = 1);RightFocus(C) = F2",
+      "coords": {}
+    },
+    {
+      "index": 932,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 933,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 9.0,
+        "b": 5.0,
+        "major_axis": "x",
+        "x_coef": 81.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0933.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/81 + y^2/25 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 934,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 5.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0934.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 20*x)",
+      "coords": {}
+    },
+    {
+      "index": 935,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 936,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0936.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;RightFocus(G) = Focus(H);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 937,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 938,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0938.png",
+      "answer": "14",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2/4 - y^2/5 = 1);Coordinate(A) = (0, 4);LeftFocus(C)=F;PointOnCurve(P, RightPart(C))",
+      "coords": {
+        "A": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 939,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 940,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0940.png",
+      "answer": "9*sqrt(3)/16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/3 = 1);P: Point;PointOnCurve(P, RightPart(G));Z1: Line;Z2: Line;K1: Line;K2: Line;Asymptote(G) = {K1, K2};PointOnCurve(P, Z1);PointOnCurve(P, Z2);IsPerpendicular(K1, Z1);IsPerpendicular(K2, Z2);M: Point;N: Point;FootPoint(K1, Z1) = M;FootPoint(K2, Z2) = N",
+      "coords": {}
+    },
+    {
+      "index": 941,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 942,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0942.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;Expression(H) = (y^2 = a*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 943,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0943.png",
+      "answer": "(1 + sqrt(5))/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;c: Number;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (c, 0);RightFocus(C) = F;OneOf(Endpoint(ImageinaryAxis(C))) = B;IsPerpendicular(LineOf(B, F), OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 944,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0944.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 945,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0945.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;O: Origin;Center(G) = O;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;UpperVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), xAxis);IsParallel(LineSegmentOf(P, F2), LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 946,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 947,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0947.png",
+      "answer": "x^2+(y-5)^2=16",
+      "fact_expr": "G: Hyperbola;H: Circle;A: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(A) = (0, 5);Center(H)=A;IsTangent(Asymptote(G),H)",
+      "coords": {
+        "A": [
+          0.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 948,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0948.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;Distance(P, F1) = 3;OneOf(Focus(G)) = F2;Negation(F1 = F2)",
+      "coords": {}
+    },
+    {
+      "index": 949,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0949.png",
+      "answer": "3/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 12*x);M: Point;Coordinate(M) = (-3, 4);PointOnCurve(Focus(C), L);Slope(L) = k;k: Number;L: Line;Intersection(L, C) = {A, B};A: Point;B: Point;DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 950,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0950.png",
+      "answer": "m - a^2",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/n + x^2/m = 1);m: Number;n: Number;m > n;n > 0;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Focus(H) = {F1, F2};Focus(G) = {F1, F2};F1: Point;F2: Point;P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 951,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0951.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));O: Origin;DotProduct((VectorOf(O, F2) + VectorOf(O, P)),VectorOf(P, F2)) = 0;3*Abs(VectorOf(P, F1)) = 4*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 952,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0952.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "C: Parabola;p: Number;G: Line;Q: Point;F: Point;P: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (y = 4);Focus(C) = F;Intersection(G, yAxis) = P;Intersection(G,C)=Q;Abs(LineSegmentOf(Q, F)) = 2*Abs(LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 953,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0953.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = m*x);m: Number;m>0;F: Point;Focus(G) = F;Z: Line;PointOnCurve(F, Z);Slope(Z) = 2*sqrt(2);A: Point;B: Point;Intersection(Z, G) = {A, B};H: Circle;IsDiameter(LineSegmentOf(A, B), H);l: Line;Directrix(G) = l;M: Point;Intersection(H, l) = M;Abs(LineSegmentOf(M, F)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 954,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0954.png",
+      "answer": "3/8, 2/3",
+      "fact_expr": "A: Point;Coordinate(A) = (2, 0);B: Point;Coordinate(B) = (0, 1);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;In(A, Vertex(G));H: Line;Expression(H) = (y = k*x);k: Number;k>0;Intersection(H, LineOf(A, B)) = D;D: Point;Intersection(H, G) = {E, F};E: Point;F: Point;VectorOf(E, D) = 6*VectorOf(D, F);Slope(H) = k;In(B, Vertex(G))",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ],
+        "B": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 955,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 956,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0956.png",
+      "answer": "(-sqrt(15)/3,-1)",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 6);Expression(H) = (y = k*x + 2);NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 957,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 958,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0958.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 6*x);P:Point;PointOnCurve(P,G);Distance(P,Focus(G))=2*Distance(P,yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 959,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0959.png",
+      "answer": "y= pm*(sqrt(3)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/8 - y^2/6 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 960,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/dev/hyperbola/problem_0960.png",
+      "answer": "x + pm*sqrt(2)*y = 0",
+      "fact_expr": "C2: Hyperbola;C1: Ellipse;a: Number;b: Number;a > b;b > 0;Expression(C1) = (y^2/b^2 + x^2/a^2 = 1);Expression(C2) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C1)*Eccentricity(C2) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 961,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0961.png",
+      "answer": "36",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/64 - y^2/36 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 962,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0962.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;M: Point;N: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = M;RightFocus(C) = F;PointOnCurve(LeftVertex(C),l);Slope(l)=1;Intersection(l, RightPart(C)) = N;Area(TriangleOf(M, N, F)) = (3/2)*b^2",
+      "coords": {}
+    },
+    {
+      "index": 963,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 964,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 965,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0965.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);IsParallel(H, OneOf(Asymptote(G)));H: Line;Intersection(H, G) = P;P: Point;Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 966,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 967,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0967.png",
+      "answer": "y=pm*(sqrt(7)/7)*x\n8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/14 + y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 968,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 969,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 970,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0970.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C1: Curve;C2: Curve;P: Point;F1: Point;F2: Point;Expression(C1) = (x^2/6+y^2/2=1);Expression(C2) = (x^2/3-y^2=1);Focus(C1) = {F2,F1};OneOf(Intersection(C1,C2))=P",
+      "coords": {}
+    },
+    {
+      "index": 971,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0971.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Coordinate(M)=(a,b);AngleOf(M,F1,F2)=ApplyUnit(30,degree)",
+      "coords": {}
+    },
+    {
+      "index": 972,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 973,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/dev/hyperbola/problem_0973.png",
+      "answer": "x^2/9 - y^2 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;M: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Focus(G) = {F1,F2};PointOnCurve(M, G);DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 0;Abs(VectorOf(M, F1))*Abs(VectorOf(M, F2)) = 2",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 974,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0974.png",
+      "answer": "{(1,1),(-1,1)}",
+      "fact_expr": "C: Parabola;M: Point;F: Point;Expression(C) = (y = x^2);Focus(C) = F;PointOnCurve(M, C);Abs(LineSegmentOf(M, F)) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 975,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0975.png",
+      "answer": "3+sqrt(6)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 3*y^2 = 9);F1: Point;LeftFocus(G) = F1;P: Point;PointOnCurve(P, G);Negation(In(P,Vertex(G)));O: Origin;D: Point;MidPoint(LineSegmentOf(P, F1)) = D",
+      "coords": {}
+    },
+    {
+      "index": 976,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 977,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0977.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 978,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/dev/hyperbola/problem_0978.png",
+      "answer": "x+pm*2*y=0",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 979,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 980,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0980.png",
+      "answer": "44",
+      "fact_expr": "F: Point;C: Hyperbola;Expression(C) = (x^2/9 - y^2/16 = 1);LeftFocus(C) = F;Q: Point;P: Point;PointOnCurve(P, C);PointOnCurve(Q, C);Length(LineSegmentOf(P, Q)) = Length(ImageinaryAxis(C)) * 2;A: Point;Coordinate(A) = (5, 0);PointOnCurve(A, LineSegmentOf(P, Q))",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 981,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0981.png",
+      "answer": "y^2/7 - x^2/14 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;Q: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(H) = (2, 3);PointOnCurve(H, Q);Asymptote(G) = Asymptote(Q)",
+      "coords": {
+        "H": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 982,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 983,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0983.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;C: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F,H);Intersection(H,G) = {A, B};Abs(LineSegmentOf(A,F))=4;PointOnCurve(C,Directrix(G));VectorOf(C,B)=2*VectorOf(B,F)",
+      "coords": {}
+    },
+    {
+      "index": 984,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0984.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;O: Origin;Expression(C) = (x^2/12 + y^2/3 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 985,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0985.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C) = True;AngleOf(P, F1, F2) = ApplyUnit(15, degree);Area(TriangleOf(P, F1, F2)) = b^2",
+      "coords": {}
+    },
+    {
+      "index": 986,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0986.png",
+      "answer": "y = -1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/2)",
+      "coords": {}
+    },
+    {
+      "index": 987,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0987.png",
+      "answer": "(-sqrt(2), sqrt(2))&Negation(m=pm*1)",
+      "fact_expr": "G: Hyperbola;H: Line;m: Real;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = m*x + 1);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 988,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0988.png",
+      "answer": "x^2/32+y^2/8=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(C) = sqrt(3)/2;l: Line;Expression(l) = (y = x + 2);A: Point;B: Point;Intersection(l, C) = {A, B};O: Origin;Slope(LineOf(O, A)) + Slope(LineOf(O, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 989,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 990,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_0990.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 991,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.03125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0991.png",
+      "answer": "y=-1/32",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 8*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 992,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 993,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0993.png",
+      "answer": "(1/3, 1)",
+      "fact_expr": "G: Hyperbola;H: Line;b: Number;A: Point;C: Point;B: Point;b>0;Expression(H) = (y = b + x);Expression(G) = (x^2 - y^2/4 = 1);Intersection(H,LeftPart(G))=A;Intersection(H,RightPart(G))=B;Intersection(H,yAxis)=C",
+      "coords": {}
+    },
+    {
+      "index": 994,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 995,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_0995.png",
+      "answer": "1/3",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;F: Point;D: Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(A, C);PointOnCurve(B, C);Focus(C) = F;AngleOf(A, F, B) = ApplyUnit(120, degree);MidPoint(LineSegmentOf(A, B))=D;Distance(D, Directrix(C)) = d;d:Number",
+      "coords": {}
+    },
+    {
+      "index": 996,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0996.png",
+      "answer": "3",
+      "fact_expr": "M: Point;Coordinate(M) = (-1, 0);PointOnCurve(M, l) = True;l: Line;C: Parabola;Expression(C) = (y^2 = 4*x);Intersection(l, C) = {A, B};A: Point;B: Point;Between(A, M, B) = True;F: Point;Focus(C) = F;Area(TriangleOf(M, B, F)) = 4*Area(TriangleOf(M, A, F))",
+      "coords": {
+        "M": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 997,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_0997.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "Gamma: Curve;Expression(Gamma) = (x^2 = 8*y);F: Point;Focus(Gamma) = F;P: Point;PointOnCurve(P,Gamma) = True;A: Point;Coordinate(A) = (0, -2)",
+      "coords": {
+        "A": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 998,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0998.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;A: Point;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;L:Line;PointOnCurve(F, L);IsPerpendicular(L, xAxis);L1:Line;L2:Line;Intersection(L,L1)=A;PointOnCurve(B, L2);lambda:Number;lambda>0;VectorOf(O, A) = lambda*VectorOf(B, F);DotProduct(VectorOf(A, B), VectorOf(O, B)) = 0;OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 999,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_0999.png",
+      "answer": "x^2/4-(3*y^2)/4=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*((sqrt(3)/3)*x));Distance(Vertex(G), Asymptote(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1000,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1000.png",
+      "answer": "(x-5/2)^2+(y-5/2)^2=13/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);A: Point;B: Point;C: Point;RightVertex(G) = A;UpperVertex(G) = B;Coordinate(C) = (2, 5);H: Circle;PointOnCurve(A, H);PointOnCurve(B, H);PointOnCurve(C, H)",
+      "coords": {
+        "C": [
+          2.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 1001,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1001.png",
+      "answer": "(x+1)^2+(y-1/2)^2=1",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (y = x^2/2)&(x<0);PointOnCurve(Center(H), G);IsTangent(Directrix(G),H);IsTangent(yAxis,H)",
+      "coords": {}
+    },
+    {
+      "index": 1002,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_1002.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;A: Point;PointOnCurve(A, C);Coordinate(MidPoint(LineSegmentOf(A, F))) = (2, 2)",
+      "coords": {}
+    },
+    {
+      "index": 1003,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1003.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, OneOf(Asymptote(C)));G: Circle;IsDiameter(LineSegmentOf(F1, F2), G);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1004,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1005,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1005.png",
+      "answer": "Preserve all mathematical expressions, LaTeX formulas, symbols, and equations EXACTLY.  \nDo not add explanations, do not rewrite formulas, do not omit any content.  \n\nText:",
+      "fact_expr": "G: Ellipse;H: Line;m:Number;M:Point;m>0;Expression(H) = (y = x*(sqrt(2)/2));Expression(G) = (x^2/16 + y^2/m^2 = 1);OneOf(Intersection(G,H))=M;Projection(M,xAxis)=RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1006,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1006.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l);Intersection(l, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1007,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1007.png",
+      "answer": "24",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;Expression(G) = (x^2/16 - y^2/4 = 1);PointOnCurve(RightFocus(G),l);Intersection(l,RightPart(G))={A,B};Abs(LineSegmentOf(A, B)) = 4;F:Point;LeftFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 1008,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1008.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1009,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1009.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1010,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1010.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);Focus(C) = Focus(G);InterReciprocal(Eccentricity(C), Eccentricity(G));F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P,RightPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 1011,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.25
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1011.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1012,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1012.png",
+      "answer": "4",
+      "fact_expr": "C1:Parabola;C2:Hyperbola;Expression(C1) = (y^2=2*p*x);p:Number;p>0;Expression(C2) = (x^2/3-y^2/b^2=1);F:Point;Focus(C1)=F;OneOf(Focus(C2))=F;Distance(F,OneOf(Asymptote(C2)))=1",
+      "coords": {}
+    },
+    {
+      "index": 1013,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1013.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "C: Hyperbola;P: Point;F: Point;O: Origin;Expression(C) = (x^2/4 - y^2/2 = 1);RightFocus(C) = F;PointOnCurve(P, OneOf(Asymptote(C)));Abs(LineSegmentOf(P, O)) = Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 1014,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/dev/parabola/problem_1014.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;G: Parabola;p: Number;H: Line;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(45, degree);Intersection(H, G) = {A, B};Length(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1015,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1015.png",
+      "answer": "x^2/18+y^2/9=1",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;A: Point;B: Point;F: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(MidPoint(LineSegmentOf(A,B))) = (1, -1);Coordinate(F) = (3, 0);RightFocus(E) = F;PointOnCurve(F, G);Intersection(G, E) = {A, B}",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1016,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1016.png",
+      "answer": "y=pm*(4/3)*x",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;P: Point;M: Point;F1: Point;F2:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(F1,l);Slope(l)=a/b;Intersection(l,RightPart(C))=P;Intersection(l,OneOf(Asymptote(C)))=M;VectorOf(P, M) = 3*VectorOf(M, F1)",
+      "coords": {}
+    },
+    {
+      "index": 1017,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1017.png",
+      "answer": "{pm*1,pm*sqrt(6)/2}",
+      "fact_expr": "G: Hyperbola;H: Line;k: Real;Expression(G) = (x^2 - y^2 = 2);Expression(H) = (y = k*x + 1);NumIntersection(H, G)=1",
+      "coords": {}
+    },
+    {
+      "index": 1018,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1019,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1019.png",
+      "answer": "x^2/16 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;e:Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F)=(2*sqrt(5),0);OneOf(Focus(G))=F;Eccentricity(G)=e;e=sqrt(5)/2",
+      "coords": {
+        "F": [
+          4.47213595499958,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1020,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1021,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1022,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1022.png",
+      "answer": "10",
+      "fact_expr": "C: Parabola;P: Point;PointOnCurve(P, C);H: Line;PointOnCurve(P, H);IsPerpendicular(H, Directrix(C)) = True;M: Point;FootPoint(H, Directrix(C)) = M;F: Point;Focus(C) = F;Abs(LineSegmentOf(P, F)) = 5;Expression(C)=(y^2=4*x)",
+      "coords": {}
+    },
+    {
+      "index": 1023,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1023.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x);P: Point;PointOnCurve(P, G);Distance(P, xAxis) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1024,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1024.png",
+      "answer": "[1/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;m:Number;n:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P, G);Max(Abs(VectorOf(P,F1))*Abs(VectorOf(P,F2)))=m;Min(DotProduct(VectorOf(P, F1), VectorOf(P, F2))) = n;m >= 2*n",
+      "coords": {}
+    },
+    {
+      "index": 1025,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.47213595499958,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 20.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1025.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/20 + y^2/8 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1026,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1026.png",
+      "answer": "pm*sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;k: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = k*x);Eccentricity(G) = sqrt(2)/2;XCoordinate(OneOf(Intersection(H,G))) = b",
+      "coords": {}
+    },
+    {
+      "index": 1027,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1027.png",
+      "answer": "3/8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y = 2*x^2);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1028,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1028.png",
+      "answer": "{4,5}",
+      "fact_expr": "G: Curve;n: Number;m: Number;F1: Point;F2: Point;P: Point;m>0;n>0;Expression(G) = (y^2/n^2 + x^2/m^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P,G);Perimeter(TriangleOf(P,F1,F2))=16;Min(Distance(P,F1))=2",
+      "coords": {}
+    },
+    {
+      "index": 1029,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1030,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/parabola/problem_1030.png",
+      "answer": "1/2",
+      "fact_expr": "P: Point;Coordinate(P) = (1, -1);C: Parabola;Expression(C) = (y = x^2/4);G: Line;PointOnCurve(Focus(C), G);k: Number;Slope(G) = k;A: Point;B: Point;Intersection(G, C) = {A, B};DotProduct(VectorOf(P, A), VectorOf(P, B)) = 0",
+      "coords": {
+        "P": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1031,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1031.png",
+      "answer": "(-2,2)",
+      "fact_expr": "G: Ellipse;H: Line;m: Real;Expression(G) = (x^2/3 + y^2/4 = 1);Expression(H) = (y = m);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1032,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1033,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/hyperbola/problem_1033.png",
+      "answer": "8*x-y-15=0",
+      "fact_expr": "l: Line;P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, l);G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1);Intersection(l, G) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1034,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/dev/ellipse/problem_1034.png",
+      "answer": "36/25",
+      "fact_expr": "G: Ellipse;H:Line;A: Point;B: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1,H);IsPerpendicular(H,MajorAxis(G));Intersection(H,G) = {A, B}",
+      "coords": {}
+    }
+  ]
+}
\ No newline at end of file
diff --git a/results/test/circle/problem_0004.png b/results/test/circle/problem_0004.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7a63024c2c85e4350691b6ceeaf71b24068cf88
--- /dev/null
+++ b/results/test/circle/problem_0004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a0d2566958650bcf5d453421fed06a392c9d88ba26adbd7dd993f853bc968ef
+size 193128
diff --git a/results/test/circle/problem_0117.png b/results/test/circle/problem_0117.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a2c95887e484bbef24e680183385b8f4061c0f1
--- /dev/null
+++ b/results/test/circle/problem_0117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:abe183ac03e307343142a085c309aef9e110666452858efe2fb554985d70fafb
+size 202827
diff --git a/results/test/circle/problem_0152.png b/results/test/circle/problem_0152.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f72d9c375018eeaf53ea9c9ee38be1db308905f
--- /dev/null
+++ b/results/test/circle/problem_0152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:863b735efe583db2618cb671d6725063240ce0dc213c3f725c53943cdac461d0
+size 219877
diff --git a/results/test/circle/problem_0165.png b/results/test/circle/problem_0165.png
new file mode 100644
index 0000000000000000000000000000000000000000..1018dc19f47603099304dec24387b61c53a0ac99
--- /dev/null
+++ b/results/test/circle/problem_0165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d972834ff87fcea064a124c859decbdc598fc330d47d030a6491612aa0cb88b
+size 201210
diff --git a/results/test/circle/problem_0451.png b/results/test/circle/problem_0451.png
new file mode 100644
index 0000000000000000000000000000000000000000..e689d4ef7942179c855685062bb2cd67ad297d94
--- /dev/null
+++ b/results/test/circle/problem_0451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fd51ec669924bcff2ae9daa984ff47bf6b3b9178b983664f4b1d156699ad48d
+size 201289
diff --git a/results/test/circle/problem_0499.png b/results/test/circle/problem_0499.png
new file mode 100644
index 0000000000000000000000000000000000000000..8276dc60334c777df65cd6504efd5d3baecf4737
--- /dev/null
+++ b/results/test/circle/problem_0499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7145a4b1a133c672fe37f3534709fba1aae254b44999b5990d0daa78c88b97b8
+size 199528
diff --git a/results/test/circle/problem_0556.png b/results/test/circle/problem_0556.png
new file mode 100644
index 0000000000000000000000000000000000000000..21484e5b329b0b956ea2d222fad6f6f997c31d3f
--- /dev/null
+++ b/results/test/circle/problem_0556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:227bbbf9d029b5c50a631436678439b256374a4157ee0c8fa64635f67da356b9
+size 200407
diff --git a/results/test/circle/problem_0673.png b/results/test/circle/problem_0673.png
new file mode 100644
index 0000000000000000000000000000000000000000..131f1591f37aa511e8bc29f8b4bd7633ca3567ff
--- /dev/null
+++ b/results/test/circle/problem_0673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81a0c702a0a079d3e2b07b6d1653283822ba4d2ed919d05dd3423662984dac23
+size 196525
diff --git a/results/test/circle/problem_0698.png b/results/test/circle/problem_0698.png
new file mode 100644
index 0000000000000000000000000000000000000000..39995fdaa25580682a9213175f2394295d42e7c0
--- /dev/null
+++ b/results/test/circle/problem_0698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:358aabbb661be7a4b6ec9eab7cf3a253c8b5ba6be6d1123a260dacb222cb8b61
+size 198801
diff --git a/results/test/circle/problem_0699.png b/results/test/circle/problem_0699.png
new file mode 100644
index 0000000000000000000000000000000000000000..f732b1df6e050ad74ad736c29c99eb25d8c2260a
--- /dev/null
+++ b/results/test/circle/problem_0699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd98c594c25f36c205960e34cb26b9afa0fb646686275585f8567c3d96015dd0
+size 189886
diff --git a/results/test/circle/problem_0756.png b/results/test/circle/problem_0756.png
new file mode 100644
index 0000000000000000000000000000000000000000..f09e55a40a30dc62c90da491458092c6fc2bc33b
--- /dev/null
+++ b/results/test/circle/problem_0756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52f5c480e8b905d686b814056dd22e130a78cdf092fe103f7ba0757f66d7be76
+size 209081
diff --git a/results/test/circle/problem_0872.png b/results/test/circle/problem_0872.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7b5e98060b7abef9adba4e433412d41195a0ecd
--- /dev/null
+++ b/results/test/circle/problem_0872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec81c02cafd16f203f8ec7b2c4efe758385f314fc3bd3fb80784ffa78a25004f
+size 211905
diff --git a/results/test/circle/problem_0876.png b/results/test/circle/problem_0876.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c0f9d68fcfbf03d28918f2bb476e0b05d2da219
--- /dev/null
+++ b/results/test/circle/problem_0876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c0978192a275f9384f0a61770b9a70e9660060b501d12f7c094b207d203a608
+size 184894
diff --git a/results/test/circle/problem_0938.png b/results/test/circle/problem_0938.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8e41b04f5833d8828cdefa27dd0337637ae2170
--- /dev/null
+++ b/results/test/circle/problem_0938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf1abd0f09083fdb5edec9916f04bea9ef245d6ea76549dfd715793aec27f53c
+size 191401
diff --git a/results/test/circle/problem_1004.png b/results/test/circle/problem_1004.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ecd5edcdd38f1fa06e319707d844fc5e181337a
--- /dev/null
+++ b/results/test/circle/problem_1004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6afe8173fce31db083ab28710134de6249721bce0482e16c1c64f9b9d093e5c6
+size 206341
diff --git a/results/test/circle/problem_1028.png b/results/test/circle/problem_1028.png
new file mode 100644
index 0000000000000000000000000000000000000000..86882e261347cf779d9fc39dfa3c71e650c1c5ea
--- /dev/null
+++ b/results/test/circle/problem_1028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35758c5177ab27a31d96f6e01c489ad069e50c2a71e22345286e9351933c9af2
+size 191554
diff --git a/results/test/circle/problem_1202.png b/results/test/circle/problem_1202.png
new file mode 100644
index 0000000000000000000000000000000000000000..5acff5e7a1720dabbf94d38bc7e48d6d31fb0230
--- /dev/null
+++ b/results/test/circle/problem_1202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:239e37ffe679399ebcabeff88279bc48c014698d0c2f60812ec6669478f8e568
+size 200020
diff --git a/results/test/circle/problem_1213.png b/results/test/circle/problem_1213.png
new file mode 100644
index 0000000000000000000000000000000000000000..82e091c5e43b7b2197676616435b0331fb006e33
--- /dev/null
+++ b/results/test/circle/problem_1213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76fc8ab0c8dcfb0e78d7b1c1a32b4012af73c8f378159ffc57e947e29c2d026f
+size 213182
diff --git a/results/test/circle/problem_1349.png b/results/test/circle/problem_1349.png
new file mode 100644
index 0000000000000000000000000000000000000000..7563330619913228c2dda1da507990e97082a921
--- /dev/null
+++ b/results/test/circle/problem_1349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fccb369b19729bb1c46e6c1325fb63d7d2890928e440bf3c230744100ffb5d3
+size 206919
diff --git a/results/test/circle/problem_1400.png b/results/test/circle/problem_1400.png
new file mode 100644
index 0000000000000000000000000000000000000000..8292383daab2a60d748c65fe355de6b241635fed
--- /dev/null
+++ b/results/test/circle/problem_1400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a749a74bb083c3a3b58b7f8360e6ea3c7ccf865378e0acf7122cdb27242059a
+size 202964
diff --git a/results/test/circle/problem_1472.png b/results/test/circle/problem_1472.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5d4eb9cfdba5e678f7256b47d9f4b38bdbfe97f
--- /dev/null
+++ b/results/test/circle/problem_1472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ffcbd99c562eb9073949d4e9329a1e11c99a22342bded9417f0911167d55dfe
+size 197050
diff --git a/results/test/circle/problem_1504.png b/results/test/circle/problem_1504.png
new file mode 100644
index 0000000000000000000000000000000000000000..502abb24a6376781787f65ef4dc8f8187e24d047
--- /dev/null
+++ b/results/test/circle/problem_1504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cf58b54fb72e24ec810bb189f57e95f71a6f5c7a4a5a310feb1b2de8623ee05
+size 194961
diff --git a/results/test/circle/problem_1593.png b/results/test/circle/problem_1593.png
new file mode 100644
index 0000000000000000000000000000000000000000..b98ce367901565ec8184ac7dc191000bfab8b697
--- /dev/null
+++ b/results/test/circle/problem_1593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7317c9617153a6f4cba1e957fb47de2c135f235ef31fac9553a8eeac29afb856
+size 232766
diff --git a/results/test/circle/problem_1640.png b/results/test/circle/problem_1640.png
new file mode 100644
index 0000000000000000000000000000000000000000..29e67879e0b39fb48cca7ad28f00fa9eeb217874
--- /dev/null
+++ b/results/test/circle/problem_1640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26b23f744e56836474797d898e6e0a8d76bbc0111160c33645fc52fc82804494
+size 234925
diff --git a/results/test/circle/problem_1646.png b/results/test/circle/problem_1646.png
new file mode 100644
index 0000000000000000000000000000000000000000..d037fed18d2fe2835280c262fccf0cbcb0ba4802
--- /dev/null
+++ b/results/test/circle/problem_1646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9706f7fe2e0b0a505bbfa684508237d0159c233cc6d17998bbad7e95b1bd5919
+size 205212
diff --git a/results/test/circle/problem_1675.png b/results/test/circle/problem_1675.png
new file mode 100644
index 0000000000000000000000000000000000000000..86922c2eb77bc20af9489a19712a9b4b2b77be11
--- /dev/null
+++ b/results/test/circle/problem_1675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f24a2570bdcd490a74e272b25a0c95ec821b76bf416247486954001c70af08bf
+size 198460
diff --git a/results/test/circle/problem_1745.png b/results/test/circle/problem_1745.png
new file mode 100644
index 0000000000000000000000000000000000000000..26b5f9d41f1b66290c4fb87b76015894477a0da2
--- /dev/null
+++ b/results/test/circle/problem_1745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:733b00920b0e3def03de87f2d80e01bebb7c69422d800fdd5c2585226d184d06
+size 203678
diff --git a/results/test/circle/problem_1803.png b/results/test/circle/problem_1803.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1f439b9baa951f60d9dbee5550a345d96906775
--- /dev/null
+++ b/results/test/circle/problem_1803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f3780828e1dbad7a114e0d0e6dbd2dcc6b0a41d502ec2c84d027519f068bb7f
+size 177209
diff --git a/results/test/circle/problem_1811.png b/results/test/circle/problem_1811.png
new file mode 100644
index 0000000000000000000000000000000000000000..13430380f6498bdf42a944cd7647e03b10adf5ad
--- /dev/null
+++ b/results/test/circle/problem_1811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f48ebb8dd812aaa5fdb2ac2fbcde388ab476275f4e5429ab057a4a6df72f744
+size 194542
diff --git a/results/test/circle/problem_1907.png b/results/test/circle/problem_1907.png
new file mode 100644
index 0000000000000000000000000000000000000000..c42aed2f89a286b8ba1039e26558b61bc66380a8
--- /dev/null
+++ b/results/test/circle/problem_1907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50c5df95ae85e454d27a39a2c906792261829d56ca2cea04eae1782fcc5d422b
+size 196377
diff --git a/results/test/circle/problem_1983.png b/results/test/circle/problem_1983.png
new file mode 100644
index 0000000000000000000000000000000000000000..58c52d6ccdc207bec73fd59ab61065e5a0cca5ed
--- /dev/null
+++ b/results/test/circle/problem_1983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfeb2db81f17c02fb905a05fb3e49cf075fdf9ec15df9724082c8d48314a642e
+size 215067
diff --git a/results/test/circle/problem_1992.png b/results/test/circle/problem_1992.png
new file mode 100644
index 0000000000000000000000000000000000000000..5747389e358fd391d124cde0589d20c066931e6d
--- /dev/null
+++ b/results/test/circle/problem_1992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae5f04bb32ca88299f9d815020aac8a33a4e8c06242594836cba21dedc53e755
+size 193211
diff --git a/results/test/ellipse/problem_0001.png b/results/test/ellipse/problem_0001.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8191423eea34b031ff7c3b9328b3852e20ea02d
--- /dev/null
+++ b/results/test/ellipse/problem_0001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a22931a1df3bc0468a2af4f083c0e24ff940e4989f4763aaa1342269d159517
+size 184781
diff --git a/results/test/ellipse/problem_0006.png b/results/test/ellipse/problem_0006.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ddbf9b6dc26d41eaba09e675baac57505ecac0f
--- /dev/null
+++ b/results/test/ellipse/problem_0006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b777327c26ca388c8b30031364a948c421fd8154340d78b04b29abb6a45b448
+size 228253
diff --git a/results/test/ellipse/problem_0008.png b/results/test/ellipse/problem_0008.png
new file mode 100644
index 0000000000000000000000000000000000000000..f183a79deb2d22f1f495c0d559020b8bb855c9a3
--- /dev/null
+++ b/results/test/ellipse/problem_0008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c03f9f51591653a47a95dc24aafbb319dc1f0985267e0fb1309fa8bd91688b0b
+size 224690
diff --git a/results/test/ellipse/problem_0012.png b/results/test/ellipse/problem_0012.png
new file mode 100644
index 0000000000000000000000000000000000000000..51c20146ce3acbd03b00e7693b1ee890110f3822
--- /dev/null
+++ b/results/test/ellipse/problem_0012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:373b4588d4be68a0fbafec7d6a74872e23cbb2042dc36c890e692d37196274fe
+size 220834
diff --git a/results/test/ellipse/problem_0014.png b/results/test/ellipse/problem_0014.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8808b80d0dc5ce0079d871f53ef00ea2cbc7853
--- /dev/null
+++ b/results/test/ellipse/problem_0014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46f806e7352799eea45e47be0007b6155689a9e71edb838a7c8b1656b123c46e
+size 206971
diff --git a/results/test/ellipse/problem_0015.png b/results/test/ellipse/problem_0015.png
new file mode 100644
index 0000000000000000000000000000000000000000..293ed65b97ccc61e419963004545d1469f1bb78c
--- /dev/null
+++ b/results/test/ellipse/problem_0015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03ae67eb73ad4f29be6b8f1c181fa1ee40d6cb0bfba2859e40bf261f4ccf54de
+size 242864
diff --git a/results/test/ellipse/problem_0019.png b/results/test/ellipse/problem_0019.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e6327b5addf8d447de7eb073eccc83c27ab561b
--- /dev/null
+++ b/results/test/ellipse/problem_0019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b78b0709c4e9a8d9b7cb51b6d5f78963982879e6cbb2d956d40a1c79829d601
+size 239764
diff --git a/results/test/ellipse/problem_0021.png b/results/test/ellipse/problem_0021.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d7d91980f2aeac152d56689b1e43d318e40f488
--- /dev/null
+++ b/results/test/ellipse/problem_0021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c23841f6623d6c5009e509da32d0b6e50defab2b89cee8265a7012ae4f337f4
+size 238144
diff --git a/results/test/ellipse/problem_0025.png b/results/test/ellipse/problem_0025.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c41370f3734aecf3c847fa4b3a7edfdb1cdffbd
--- /dev/null
+++ b/results/test/ellipse/problem_0025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74ade7c1a8377b16a49b8042cf2f24ce4da21a4318b45cd3c0d3a5c4944a035f
+size 233799
diff --git a/results/test/ellipse/problem_0035.png b/results/test/ellipse/problem_0035.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5daa4b618deb9639a8c253be3299a7618d7df52
--- /dev/null
+++ b/results/test/ellipse/problem_0035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78a27c93d04cad5e853974e969100760f11d630d2c27e0ef4cd9484423843c55
+size 228754
diff --git a/results/test/ellipse/problem_0036.png b/results/test/ellipse/problem_0036.png
new file mode 100644
index 0000000000000000000000000000000000000000..815930315750ff2bd5571ab0579550eacb6db827
--- /dev/null
+++ b/results/test/ellipse/problem_0036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:716dd28ca4e0b75258147da61323c6004e438afbe9bb8f2284018ff0db6106ec
+size 239575
diff --git a/results/test/ellipse/problem_0044.png b/results/test/ellipse/problem_0044.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a956b84ccc7137dfb8f6df033236203345f8962
--- /dev/null
+++ b/results/test/ellipse/problem_0044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f8f10248c6116a4faa58014fb4dc19ade29b83f8e450b95ed73221af608de2b
+size 228788
diff --git a/results/test/ellipse/problem_0049.png b/results/test/ellipse/problem_0049.png
new file mode 100644
index 0000000000000000000000000000000000000000..f05b561d101e7fa2c039b994169bc6ce1726cfa1
--- /dev/null
+++ b/results/test/ellipse/problem_0049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57cebd172991016374826c3b4008b0497b065477eddf7603861cd0b601537b9a
+size 194973
diff --git a/results/test/ellipse/problem_0054.png b/results/test/ellipse/problem_0054.png
new file mode 100644
index 0000000000000000000000000000000000000000..a831ed6a2c6c85743260d091aa1fa5bd6dc92787
--- /dev/null
+++ b/results/test/ellipse/problem_0054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:704dadb02faebc75f722109bfe8c46d3033747f6aab0105caaff88159dda507b
+size 216319
diff --git a/results/test/ellipse/problem_0055.png b/results/test/ellipse/problem_0055.png
new file mode 100644
index 0000000000000000000000000000000000000000..28f206e7ad88ea0da88985660288bd071ccc6618
--- /dev/null
+++ b/results/test/ellipse/problem_0055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68b761b1cdd8cff1e9ef86cd10a1ef5728abb13b94522411a6a314f7219221fd
+size 218938
diff --git a/results/test/ellipse/problem_0060.png b/results/test/ellipse/problem_0060.png
new file mode 100644
index 0000000000000000000000000000000000000000..71966282426f191f4d47d212a3d887ffd2f1f63b
--- /dev/null
+++ b/results/test/ellipse/problem_0060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96878981d894b0b13c638c7b90aaee4c7fb972a9a11596c9f30caf01eee979ac
+size 229731
diff --git a/results/test/ellipse/problem_0096.png b/results/test/ellipse/problem_0096.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8465694d70fa53b476b0cfe2aa35cfeba79e98c
--- /dev/null
+++ b/results/test/ellipse/problem_0096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c51b3f5c1c87f8f488123570e54253d0a337b0c35137b3f113b7950ed5ded1c
+size 230865
diff --git a/results/test/ellipse/problem_0107.png b/results/test/ellipse/problem_0107.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2824c45a664a656be34e7b84f6146451966e719
--- /dev/null
+++ b/results/test/ellipse/problem_0107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ded5ad4e4cd9dab46630b0350025d1a61e412e7acab999b1673b94233895669
+size 224314
diff --git a/results/test/ellipse/problem_0109.png b/results/test/ellipse/problem_0109.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b75807a1a4283be7b7c054b1d4fb6dde7809718
--- /dev/null
+++ b/results/test/ellipse/problem_0109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb41a38bd38aae406b4316cd405045f1f5ad020194b06e3fa512b0262393ae37
+size 233140
diff --git a/results/test/ellipse/problem_0112.png b/results/test/ellipse/problem_0112.png
new file mode 100644
index 0000000000000000000000000000000000000000..943c8a809a449f4828fa0292013ef433dc24641e
--- /dev/null
+++ b/results/test/ellipse/problem_0112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7887db18f6ebab55ed603ba2c395848179a2d7cc092527316fefebab0c0cd224
+size 185014
diff --git a/results/test/ellipse/problem_0116.png b/results/test/ellipse/problem_0116.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0ba841f78f8c5e89cea101f6660262e35b7ecef
--- /dev/null
+++ b/results/test/ellipse/problem_0116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31e4b4f4523e9453185f59ed797270239092b255c6d5f4e8287626cf984ad0d8
+size 222432
diff --git a/results/test/ellipse/problem_0119.png b/results/test/ellipse/problem_0119.png
new file mode 100644
index 0000000000000000000000000000000000000000..e096b21049c6e43f11a1d0d95b96c923d4839267
--- /dev/null
+++ b/results/test/ellipse/problem_0119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e8a8e06b813f93ad141e175024cbbd7f320b6655679f926a569d3d479f61cdd
+size 211703
diff --git a/results/test/ellipse/problem_0123.png b/results/test/ellipse/problem_0123.png
new file mode 100644
index 0000000000000000000000000000000000000000..450b9ef96c17fba441a898a79bad988202222e99
--- /dev/null
+++ b/results/test/ellipse/problem_0123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a3e07924ca7217651a636727142071be067394fe405c97440a6a3f059743597
+size 219587
diff --git a/results/test/ellipse/problem_0128.png b/results/test/ellipse/problem_0128.png
new file mode 100644
index 0000000000000000000000000000000000000000..21a2dad443546f2d0e38114b431ce9c4bcce4501
--- /dev/null
+++ b/results/test/ellipse/problem_0128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05ed4b2674e1e5d3055037e4c0be3777b48e956c4a19338b7150491a1a0c1351
+size 212986
diff --git a/results/test/ellipse/problem_0130.png b/results/test/ellipse/problem_0130.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb8bf034a3b6c9ad8d22dea61d42ef2a1af9cfac
--- /dev/null
+++ b/results/test/ellipse/problem_0130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d3b4e197c04ec6a7188e35dcf23be698c8c0ef08464a7162a6734403067b3b2
+size 207973
diff --git a/results/test/ellipse/problem_0131.png b/results/test/ellipse/problem_0131.png
new file mode 100644
index 0000000000000000000000000000000000000000..d92335434ddbdc3ba03b85120d1d52f4ac86876d
--- /dev/null
+++ b/results/test/ellipse/problem_0131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2073997b4c31c29221ff6e6004316bebd983d84bac36c911ca9005fa0b0bbd3
+size 218684
diff --git a/results/test/ellipse/problem_0137.png b/results/test/ellipse/problem_0137.png
new file mode 100644
index 0000000000000000000000000000000000000000..ead31f8bd2a2c2f7681e78936baee5fc855332bf
--- /dev/null
+++ b/results/test/ellipse/problem_0137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c72eb6d99d7cb12254e211408a63fa64953234c602af0fd16cc1f76de5923f48
+size 193269
diff --git a/results/test/ellipse/problem_0139.png b/results/test/ellipse/problem_0139.png
new file mode 100644
index 0000000000000000000000000000000000000000..4738f91b2188fdea832d2cf18e7fe54db8f88227
--- /dev/null
+++ b/results/test/ellipse/problem_0139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d2ccfcaa41630db33f46d08198b7b2ed3477b8fec8a3b0de23bf1ce949be181
+size 202753
diff --git a/results/test/ellipse/problem_0142.png b/results/test/ellipse/problem_0142.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0fae02bd98183a125d3a3c437e65a7df1091851
--- /dev/null
+++ b/results/test/ellipse/problem_0142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c77b904aa6a93ad0e182a712dd6467079ba440301f0492e52ca04912e3416ccf
+size 215572
diff --git a/results/test/ellipse/problem_0150.png b/results/test/ellipse/problem_0150.png
new file mode 100644
index 0000000000000000000000000000000000000000..e712456a140d8178ee660b617dae33597759bbac
--- /dev/null
+++ b/results/test/ellipse/problem_0150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce4a24629ebc4d621e2d3f08f94746c812039466b248c877d9b5677e225d3844
+size 218596
diff --git a/results/test/ellipse/problem_0151.png b/results/test/ellipse/problem_0151.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ad200a891fd481a330a269be58f8078d8ec4d7d
--- /dev/null
+++ b/results/test/ellipse/problem_0151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da918f8c9019d599ddcb52d8ae426f790297d14c4aa8dd42fa6c9a39defae547
+size 194326
diff --git a/results/test/ellipse/problem_0157.png b/results/test/ellipse/problem_0157.png
new file mode 100644
index 0000000000000000000000000000000000000000..80803a23bda7fa46af47061a986d3c4779c7a977
--- /dev/null
+++ b/results/test/ellipse/problem_0157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4df0c8422d3a96238b820a3e44cf60eb5642cbb01eaf87977d6ca560eb7c4ba6
+size 221716
diff --git a/results/test/ellipse/problem_0159.png b/results/test/ellipse/problem_0159.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c121d54822fa581fa560e842bbd5bb7262961fb
--- /dev/null
+++ b/results/test/ellipse/problem_0159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5e5cc5f864b370cd22fdd0b5833eac7464771925189782fba08649b21d66871
+size 220197
diff --git a/results/test/ellipse/problem_0160.png b/results/test/ellipse/problem_0160.png
new file mode 100644
index 0000000000000000000000000000000000000000..66bdb6466b06591b8be036d02ae759c20ccdd6f6
--- /dev/null
+++ b/results/test/ellipse/problem_0160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:843f064e33a68f82df2def4e9da61e4d585b1b1ba96ffa5aa0130cc2d48b70a4
+size 201922
diff --git a/results/test/ellipse/problem_0166.png b/results/test/ellipse/problem_0166.png
new file mode 100644
index 0000000000000000000000000000000000000000..e231df22659c0c3f7a9d50eb1ed6e23e7ea069e4
--- /dev/null
+++ b/results/test/ellipse/problem_0166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5567ed555dceddd0d3416256a864edac7d4c1e80e9b095deb786284a2941172f
+size 217628
diff --git a/results/test/ellipse/problem_0169.png b/results/test/ellipse/problem_0169.png
new file mode 100644
index 0000000000000000000000000000000000000000..596de7f86779de8190e3f86cb575302121c37a7d
--- /dev/null
+++ b/results/test/ellipse/problem_0169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:524de1aa49135b415c4d5d590d2c6a57419957414e23ffb9a6cfafe2d922be3f
+size 233297
diff --git a/results/test/ellipse/problem_0175.png b/results/test/ellipse/problem_0175.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d901be112d84d38d72f308e486820014f242390
--- /dev/null
+++ b/results/test/ellipse/problem_0175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8543a87d83541fc63457d07a6f71c3756235601aec2feb3cd4c8b1c804c8d543
+size 234766
diff --git a/results/test/ellipse/problem_0186.png b/results/test/ellipse/problem_0186.png
new file mode 100644
index 0000000000000000000000000000000000000000..2339cc6297f2c7cb43f791596171d52d5d844e00
--- /dev/null
+++ b/results/test/ellipse/problem_0186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a93c2d7faf28f3927a4e5aced0d0cba14c775669fc4b508570c829c905de664
+size 227217
diff --git a/results/test/ellipse/problem_0202.png b/results/test/ellipse/problem_0202.png
new file mode 100644
index 0000000000000000000000000000000000000000..5da5cf8516a9012abf97778253bb7f8213ce7d94
--- /dev/null
+++ b/results/test/ellipse/problem_0202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:345d0f9db7f794772d37f8997e8efd3e9d340bf06efc8283df8b3ceba2418527
+size 218812
diff --git a/results/test/ellipse/problem_0206.png b/results/test/ellipse/problem_0206.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdf8921e1f1d171b0d994cfbb4768271cc2b382c
--- /dev/null
+++ b/results/test/ellipse/problem_0206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9933f59895868fa18cdeb778377975e8c3ee448e06e9d8f1c41373b0cefaf6e9
+size 230786
diff --git a/results/test/ellipse/problem_0208.png b/results/test/ellipse/problem_0208.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cb1f0374a5eec9b3422c077a1ddafd1ab0fdb15
--- /dev/null
+++ b/results/test/ellipse/problem_0208.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27a8e3c17a56726ed50d2e0234152c258af01952fa0f4c2352cdbef9a6eea827
+size 225018
diff --git a/results/test/ellipse/problem_0211.png b/results/test/ellipse/problem_0211.png
new file mode 100644
index 0000000000000000000000000000000000000000..a95401f0f3d4995d8066aadbba21245a21291bd0
--- /dev/null
+++ b/results/test/ellipse/problem_0211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fca2be03f70eaff7b6aa25e9f571c5e94925b00bd9609a6ff4e75ef4f4d79012
+size 211070
diff --git a/results/test/ellipse/problem_0213.png b/results/test/ellipse/problem_0213.png
new file mode 100644
index 0000000000000000000000000000000000000000..380e3a7936ffb7b4579df86a4b9d4cfb6b604cdf
--- /dev/null
+++ b/results/test/ellipse/problem_0213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5a6fe9ff72d13708e4884a5a11126decf8f0c90c2e5b0e2e17b50c72e638c92
+size 226397
diff --git a/results/test/ellipse/problem_0229.png b/results/test/ellipse/problem_0229.png
new file mode 100644
index 0000000000000000000000000000000000000000..831affd27114fe0a480cf6195817b00007ee40cb
--- /dev/null
+++ b/results/test/ellipse/problem_0229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d488ce3b6d3c794478ad0c11267e0cdc7087fe85857882a0f3f49782c911ca3
+size 234163
diff --git a/results/test/ellipse/problem_0230.png b/results/test/ellipse/problem_0230.png
new file mode 100644
index 0000000000000000000000000000000000000000..db81997834641a19bbef8dfa2d9d4f45c23fe4e8
--- /dev/null
+++ b/results/test/ellipse/problem_0230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57c7b3c296e57d9557b1fcb721fdde8677ea70cd0d452e0985043a2d50ce8c5e
+size 226917
diff --git a/results/test/ellipse/problem_0232.png b/results/test/ellipse/problem_0232.png
new file mode 100644
index 0000000000000000000000000000000000000000..196071eab3169e93e4296fc80398407216e4ba58
--- /dev/null
+++ b/results/test/ellipse/problem_0232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6729d746240570eb5890007356649495281e44e8aaecf05474907054999b3590
+size 216238
diff --git a/results/test/ellipse/problem_0237.png b/results/test/ellipse/problem_0237.png
new file mode 100644
index 0000000000000000000000000000000000000000..483d5c37aa63238a4b32f4a46be74609136779a0
--- /dev/null
+++ b/results/test/ellipse/problem_0237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e90e3d7a968bfe59dba5f869d5989cd40ece21c0a951f17da716852d89fd0c34
+size 219980
diff --git a/results/test/ellipse/problem_0240.png b/results/test/ellipse/problem_0240.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8feb8f43535f5088a0e536e1874a5ab3fcee617
--- /dev/null
+++ b/results/test/ellipse/problem_0240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cf648069e5fcfd6e00626e12781d71b08731b53671fa346fa4c8eb8485fe5dd
+size 223478
diff --git a/results/test/ellipse/problem_0246.png b/results/test/ellipse/problem_0246.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe0b3a1ddea059b07e06b2e2d325ebdb103c958d
--- /dev/null
+++ b/results/test/ellipse/problem_0246.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1762266f9f314ac61eb98c6cff794c377b93e8173588f17473dd1fb89f5b657
+size 252175
diff --git a/results/test/ellipse/problem_0247.png b/results/test/ellipse/problem_0247.png
new file mode 100644
index 0000000000000000000000000000000000000000..f316037fcfeae78cfebcd28d846e17cd59601cfc
--- /dev/null
+++ b/results/test/ellipse/problem_0247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77f8a4cb90daa619adc93b8b15e092c854ec008b3273aec6a8dab7a2c5a2b91c
+size 209693
diff --git a/results/test/ellipse/problem_0248.png b/results/test/ellipse/problem_0248.png
new file mode 100644
index 0000000000000000000000000000000000000000..85085510135e3bb391ec7e24ee7a7a0ac284c473
--- /dev/null
+++ b/results/test/ellipse/problem_0248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4250bf9581c977da0f0d45f853476f221127a951931035a597a8cddc63c3457b
+size 201856
diff --git a/results/test/ellipse/problem_0253.png b/results/test/ellipse/problem_0253.png
new file mode 100644
index 0000000000000000000000000000000000000000..d125a2a95ba383f2da3bccdedc34fc4609fb1410
--- /dev/null
+++ b/results/test/ellipse/problem_0253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81f479610a10dfe80713ecdfb852e8a0705ffadfe7dbbb28f48c59e383d0654c
+size 227625
diff --git a/results/test/ellipse/problem_0257.png b/results/test/ellipse/problem_0257.png
new file mode 100644
index 0000000000000000000000000000000000000000..297b758627c9481412176a650e9aff89fcf59129
--- /dev/null
+++ b/results/test/ellipse/problem_0257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97bc241df971440fe355b49d88995aba3f2905f31098f068adf9f36597220ef0
+size 219623
diff --git a/results/test/ellipse/problem_0260.png b/results/test/ellipse/problem_0260.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f3582aeda19d56a85afd312ec1b4738e1a16cad
--- /dev/null
+++ b/results/test/ellipse/problem_0260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c8f79df1f25505560a7888850e78494f09c24fa6c222226f6f45be63ce06341
+size 221286
diff --git a/results/test/ellipse/problem_0267.png b/results/test/ellipse/problem_0267.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fc25887b0f35063cfe48249d34f41f64cc43fb3
--- /dev/null
+++ b/results/test/ellipse/problem_0267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1146cc6dc737eb72901f4b300fdb907a3cd0f095e73b81268c4aa38d6877aef2
+size 242666
diff --git a/results/test/ellipse/problem_0268.png b/results/test/ellipse/problem_0268.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c5cd2949d77f709f3ca551972a53535e9bb3b03
--- /dev/null
+++ b/results/test/ellipse/problem_0268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21badff1abc72bbcff9a5579b4ede9dd0db32ed2014f1147aabc2bdc6fcdafaa
+size 227587
diff --git a/results/test/ellipse/problem_0270.png b/results/test/ellipse/problem_0270.png
new file mode 100644
index 0000000000000000000000000000000000000000..99efeca58d4f66d7c6568719d7027e95e717aae3
--- /dev/null
+++ b/results/test/ellipse/problem_0270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5130e41100cac06da2d59b7cc1a481e472ac93f76ae42b611169dc228c8bfeae
+size 192495
diff --git a/results/test/ellipse/problem_0280.png b/results/test/ellipse/problem_0280.png
new file mode 100644
index 0000000000000000000000000000000000000000..1713ec57c890112af88ada4877c5ec1877fa68c7
--- /dev/null
+++ b/results/test/ellipse/problem_0280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a097d156ef4a00cbad3d72deb322b418eade9ebfda8ce2dcab3c880167e52712
+size 230972
diff --git a/results/test/ellipse/problem_0281.png b/results/test/ellipse/problem_0281.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e18be1e7a6fa02fb378d86f16e52ffd374e8d23
--- /dev/null
+++ b/results/test/ellipse/problem_0281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9ec0e7c1d31696cd2475ccc643ee354419c5d9c6bc74720996508de622efafe
+size 219451
diff --git a/results/test/ellipse/problem_0285.png b/results/test/ellipse/problem_0285.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb7262a760dd7a4d6c865eefd014a521b0c96da8
--- /dev/null
+++ b/results/test/ellipse/problem_0285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:640e1065a52f5dfa445ff4c74ca1763be0b8aa218c0884032c46ead1bf42b62c
+size 214118
diff --git a/results/test/ellipse/problem_0286.png b/results/test/ellipse/problem_0286.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e6e877daaa4093a269601b0a32a8a797f0a7146
--- /dev/null
+++ b/results/test/ellipse/problem_0286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b57afbb56f45dd21cd89a6298e32ad0716d54672e060e62c00b1528d44f7519e
+size 226434
diff --git a/results/test/ellipse/problem_0289.png b/results/test/ellipse/problem_0289.png
new file mode 100644
index 0000000000000000000000000000000000000000..99988a25e2ed0b1afc182a78500e50f3422ff2d0
--- /dev/null
+++ b/results/test/ellipse/problem_0289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd0797095a807a5ddbbe1ee9b51b57fecbc5d0e52fbf7d0d30146e9362bdbb7c
+size 217390
diff --git a/results/test/ellipse/problem_0290.png b/results/test/ellipse/problem_0290.png
new file mode 100644
index 0000000000000000000000000000000000000000..09ddd8572344db81bab7b5c13e7d477a1651ebd5
--- /dev/null
+++ b/results/test/ellipse/problem_0290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5036988d128d3766ec3243555d4b349a9d3ceb3fadf317723ddeab0779d35f30
+size 224308
diff --git a/results/test/ellipse/problem_0298.png b/results/test/ellipse/problem_0298.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf138f846247e410a4d97da248cff6044ffb432e
--- /dev/null
+++ b/results/test/ellipse/problem_0298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2316f20c09c644b7d76534726b1753d4da6fb39c89aa3e49c3a4027ca541e3a7
+size 225611
diff --git a/results/test/ellipse/problem_0302.png b/results/test/ellipse/problem_0302.png
new file mode 100644
index 0000000000000000000000000000000000000000..77ce3dcf8952818fb3b9e1309bb3d88097f2e223
--- /dev/null
+++ b/results/test/ellipse/problem_0302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8525a5b308608ad2583f284d08199d59599817ee3bcfc1d593a6acc8427e4f7c
+size 227320
diff --git a/results/test/ellipse/problem_0305.png b/results/test/ellipse/problem_0305.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f3a78f5cfdc89dafdfb13e5dd14fe036b366f5d
--- /dev/null
+++ b/results/test/ellipse/problem_0305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:276a8ac07127f00d990dab373b6040533704a8cf29a294df03ac17f5ccff210b
+size 234995
diff --git a/results/test/ellipse/problem_0306.png b/results/test/ellipse/problem_0306.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d3f11d58a8f929e2244050fe4c096a089245d13
--- /dev/null
+++ b/results/test/ellipse/problem_0306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55f2ba2d91f4dfff542249aba0cdcaa394587f9a2b1f5d589b2d5b085e77203e
+size 211103
diff --git a/results/test/ellipse/problem_0318.png b/results/test/ellipse/problem_0318.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8902f67523d54ec93ae2c954067366f5b63bc11
--- /dev/null
+++ b/results/test/ellipse/problem_0318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bddaf2f282d577f47d644c42b3e62e4aa47d7de6c57cbcc727cf64f78e8b782b
+size 228484
diff --git a/results/test/ellipse/problem_0332.png b/results/test/ellipse/problem_0332.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ee7463191cf2e63e32c7a61d61eac3e390f7579
--- /dev/null
+++ b/results/test/ellipse/problem_0332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5111a43f5c66d7c7fd8bca2f2e676f899a75de372187006645f10662e59d7ade
+size 214841
diff --git a/results/test/ellipse/problem_0335.png b/results/test/ellipse/problem_0335.png
new file mode 100644
index 0000000000000000000000000000000000000000..7167be6b04ef8994c71f6999d1eeac34e9e2c950
--- /dev/null
+++ b/results/test/ellipse/problem_0335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f5c0e056d09fb04ec1e4ae59718bee3755fa58ff7a5b62251b044742cb47a57
+size 237028
diff --git a/results/test/ellipse/problem_0336.png b/results/test/ellipse/problem_0336.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d131eab7f558397fe6fa16e50fbc4f19997b181
--- /dev/null
+++ b/results/test/ellipse/problem_0336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5eed8681a0612809302bdbe75c6b5e71abf607be5bcc7f9dd1de899f8a62eb9
+size 232262
diff --git a/results/test/ellipse/problem_0341.png b/results/test/ellipse/problem_0341.png
new file mode 100644
index 0000000000000000000000000000000000000000..155a083bc6a29474ad49d202cff49c949d7926ba
--- /dev/null
+++ b/results/test/ellipse/problem_0341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69642636b7827640208c9b2abbdedf5bcb7b0f205820d03d6cb74ac2ad181722
+size 185135
diff --git a/results/test/ellipse/problem_0348.png b/results/test/ellipse/problem_0348.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d0f0acfbaf00a6fdf8b775a4debeb255350035e
--- /dev/null
+++ b/results/test/ellipse/problem_0348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf665c5f95a6bbe737f5b64ce1efc1452897aa85146b795233942f83de23b4e9
+size 217556
diff --git a/results/test/ellipse/problem_0357.png b/results/test/ellipse/problem_0357.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeb7fb099348ff2727adbe953cc712d44fb1ed4e
--- /dev/null
+++ b/results/test/ellipse/problem_0357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d7ba8e5176419ccdd0c119df70ba48faca8060916d986912b0c62130911ac38
+size 224046
diff --git a/results/test/ellipse/problem_0360.png b/results/test/ellipse/problem_0360.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd4be1abd9e0544f7d59e43975e8f65322738882
--- /dev/null
+++ b/results/test/ellipse/problem_0360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ce8972b14544f56b5eec419a53470852f05125575b50b290fab4f3683af334f
+size 222156
diff --git a/results/test/ellipse/problem_0363.png b/results/test/ellipse/problem_0363.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8bd36a835b08cd4941cfaa17e97c8d298ccd1bd
--- /dev/null
+++ b/results/test/ellipse/problem_0363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7760351d8c7aed0f2d668a578f02abdcbd5103be8f9781e7b5f162381a1cdca4
+size 195331
diff --git a/results/test/ellipse/problem_0372.png b/results/test/ellipse/problem_0372.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0baced8f8983c7755de5dc5a0997ef1f609ac4a
--- /dev/null
+++ b/results/test/ellipse/problem_0372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fc128ffcf8b1464c45671a6c98b118e22688dbfbe226f9e7e1155eee423adbe
+size 224597
diff --git a/results/test/ellipse/problem_0373.png b/results/test/ellipse/problem_0373.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cfd249ef0cf972caca8719b4a470a1e96d7341e
--- /dev/null
+++ b/results/test/ellipse/problem_0373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:583f13a57535d62f425608794d3ae17d00eddc87f2644b5ce369fb9a88c11c8f
+size 206092
diff --git a/results/test/ellipse/problem_0381.png b/results/test/ellipse/problem_0381.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f83641b706ce48353550111dc1bc4f675f9e0b6
--- /dev/null
+++ b/results/test/ellipse/problem_0381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:875002492c1625c9ca5697e21553b9935326c909c0f2c910f3f76bc2ec6f64be
+size 220121
diff --git a/results/test/ellipse/problem_0387.png b/results/test/ellipse/problem_0387.png
new file mode 100644
index 0000000000000000000000000000000000000000..205a75ecbe1d9a98f62c2e10b2614d9038a872a8
--- /dev/null
+++ b/results/test/ellipse/problem_0387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f5fc93ba2ddba8b0a8a0ceebb3c6742e3269e7f3cd7468d71f9b359253546e3
+size 222771
diff --git a/results/test/ellipse/problem_0388.png b/results/test/ellipse/problem_0388.png
new file mode 100644
index 0000000000000000000000000000000000000000..659f724bfcd0159f1c975699e06ab1edc882d580
--- /dev/null
+++ b/results/test/ellipse/problem_0388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f361af16abe067c78032452812d535afc1c5ecd828fecb26b887704b615640f
+size 195075
diff --git a/results/test/ellipse/problem_0399.png b/results/test/ellipse/problem_0399.png
new file mode 100644
index 0000000000000000000000000000000000000000..42e6cbe81d7e333693b975dd9d4d915a66cd4ce2
--- /dev/null
+++ b/results/test/ellipse/problem_0399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b99c0091f9ba5b93ceb4dbda30e5066c708506f9da7e965e766f2709cb23cb49
+size 223281
diff --git a/results/test/ellipse/problem_0401.png b/results/test/ellipse/problem_0401.png
new file mode 100644
index 0000000000000000000000000000000000000000..72e906c6d5f652bdf25c824bc87b6bcb7f0c3d49
--- /dev/null
+++ b/results/test/ellipse/problem_0401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4413040f99d83357c081200787bc6dacf7d0f0b24278759880dfa87439449d08
+size 215338
diff --git a/results/test/ellipse/problem_0403.png b/results/test/ellipse/problem_0403.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fc8ce2d613bb6cea4c2cd92457baa86f1926500
--- /dev/null
+++ b/results/test/ellipse/problem_0403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e029c30329455ed502061b921315a2772f4055001de97217027155ba7e2fbcdc
+size 220437
diff --git a/results/test/ellipse/problem_0412.png b/results/test/ellipse/problem_0412.png
new file mode 100644
index 0000000000000000000000000000000000000000..eba2cfd7cbfd6eb4010daa0d2cb5728dabfb95af
--- /dev/null
+++ b/results/test/ellipse/problem_0412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f4115eec7f046e4962db3acc5f637982316a795f929e47f70d3ef4dfc289bb7
+size 200625
diff --git a/results/test/ellipse/problem_0417.png b/results/test/ellipse/problem_0417.png
new file mode 100644
index 0000000000000000000000000000000000000000..98fa0186ff08cf10d0cfe7a7faab262d74d9c496
--- /dev/null
+++ b/results/test/ellipse/problem_0417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5f1f34e03f9c3a840136ff8a1416d12e1f669afbb63585bcbd52ea98263972d
+size 240014
diff --git a/results/test/ellipse/problem_0421.png b/results/test/ellipse/problem_0421.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc9c4d9778cd6166fde49c6469a7900b4d28f9fb
--- /dev/null
+++ b/results/test/ellipse/problem_0421.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec75d3de2c6f73033cffcdc7f1d0d5f57971f356e9dcb14823ab243f4b457f24
+size 230412
diff --git a/results/test/ellipse/problem_0426.png b/results/test/ellipse/problem_0426.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a0e9e95cf3fccbd675c4c7583081a6d058e45e5
--- /dev/null
+++ b/results/test/ellipse/problem_0426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74afaf37d46eaa886914761e44ef148484d2f8cfb67f551be81c3ddd5e6e53a6
+size 234124
diff --git a/results/test/ellipse/problem_0427.png b/results/test/ellipse/problem_0427.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a162ac2e4465d8d35a2d14f43df077b85e9b911
--- /dev/null
+++ b/results/test/ellipse/problem_0427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8119c075923f8e1abf874321f36a0cf8c1e44d80f9421ce24d2a5c2bd748974c
+size 223137
diff --git a/results/test/ellipse/problem_0432.png b/results/test/ellipse/problem_0432.png
new file mode 100644
index 0000000000000000000000000000000000000000..20de4e34caaecb3d9e38960f9c636b7dad5821d7
--- /dev/null
+++ b/results/test/ellipse/problem_0432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63d087a6f4fdca72abe4d424f6e960362ce1352350a4a468fdd72976a66d1953
+size 227670
diff --git a/results/test/ellipse/problem_0437.png b/results/test/ellipse/problem_0437.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd2e5aa27f63683966b6156e529a02111f237d03
--- /dev/null
+++ b/results/test/ellipse/problem_0437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c84552fe597d5766a296d9ab73bbeae5bd58ea97dd1cfa6fa4e33443724c89fb
+size 222359
diff --git a/results/test/ellipse/problem_0439.png b/results/test/ellipse/problem_0439.png
new file mode 100644
index 0000000000000000000000000000000000000000..63890b2aa7c48025b605a85b4e8747b4bce2b0e0
--- /dev/null
+++ b/results/test/ellipse/problem_0439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34fe1b6f9cbe4f5abb83ab9c16cb377f3b4304fcb321863ebc4a16f114441019
+size 217951
diff --git a/results/test/ellipse/problem_0441.png b/results/test/ellipse/problem_0441.png
new file mode 100644
index 0000000000000000000000000000000000000000..92d9c93d074e0e0756dd5ef322b55ae966446192
--- /dev/null
+++ b/results/test/ellipse/problem_0441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b0f943490fdf68e8efc31699c09fa939826fad0902ebd14d4c90217f73deec0
+size 237132
diff --git a/results/test/ellipse/problem_0450.png b/results/test/ellipse/problem_0450.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e8edfd60d0d366ea0c71d668c3ba501300041f9
--- /dev/null
+++ b/results/test/ellipse/problem_0450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b4a46d71fd497031fc5caa34e9f86fb4c96d0ae55e155ef090aac44d49e0a38
+size 212763
diff --git a/results/test/ellipse/problem_0452.png b/results/test/ellipse/problem_0452.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f4dc65e2d84dcfb7d22f23bfb5cc27bbd4b272d
--- /dev/null
+++ b/results/test/ellipse/problem_0452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:113d6c2fae675d2e96503fe9c6c9660986422b5ba678a9c4eb0f3e3ce12c2db8
+size 224384
diff --git a/results/test/ellipse/problem_0458.png b/results/test/ellipse/problem_0458.png
new file mode 100644
index 0000000000000000000000000000000000000000..c310da35a29ade82ef0b2bd1e5c1191def9fb8a3
--- /dev/null
+++ b/results/test/ellipse/problem_0458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26aefad311eb78e7d9e0389b3501a52b00314cef2cb3c6049515f93d6559c151
+size 226592
diff --git a/results/test/ellipse/problem_0468.png b/results/test/ellipse/problem_0468.png
new file mode 100644
index 0000000000000000000000000000000000000000..eea38454e1af02a5a303f6359a1c3b8e53971386
--- /dev/null
+++ b/results/test/ellipse/problem_0468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1343224035697b0a463cab156b29b07ada9ebc674a0e9c61926adca2d2776cff
+size 227662
diff --git a/results/test/ellipse/problem_0478.png b/results/test/ellipse/problem_0478.png
new file mode 100644
index 0000000000000000000000000000000000000000..57ea482dfb802877a6b7041ec4103b42add4bb06
--- /dev/null
+++ b/results/test/ellipse/problem_0478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40d56a320f8b41bd04b0b67d00fe038ee8af4d833ac44c78fa30b561416b723e
+size 233655
diff --git a/results/test/ellipse/problem_0479.png b/results/test/ellipse/problem_0479.png
new file mode 100644
index 0000000000000000000000000000000000000000..caffd300e30d43b3d182bc4cba797f8e1e8be0cf
--- /dev/null
+++ b/results/test/ellipse/problem_0479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4235a93f71929a1dfa380a012e183c672a523f56689d501c2942de7cebf3ab50
+size 239116
diff --git a/results/test/ellipse/problem_0481.png b/results/test/ellipse/problem_0481.png
new file mode 100644
index 0000000000000000000000000000000000000000..b964542a72199a792cb07b3fd628dd1f06556cfe
--- /dev/null
+++ b/results/test/ellipse/problem_0481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6db9d950c15f907a8c451d21a29b584412e43b1e1ad418a5bb6bd41c81f59d2a
+size 231894
diff --git a/results/test/ellipse/problem_0490.png b/results/test/ellipse/problem_0490.png
new file mode 100644
index 0000000000000000000000000000000000000000..866ab2f383e5e474d2a4b498c5bb161806985265
--- /dev/null
+++ b/results/test/ellipse/problem_0490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d2d6abd801cccca11a11a912a0f813452fd7b6bc947e881a2cecabe86f3a734
+size 192681
diff --git a/results/test/ellipse/problem_0495.png b/results/test/ellipse/problem_0495.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd1fd43af333f2fee9b961f24c1262a1107c7f50
--- /dev/null
+++ b/results/test/ellipse/problem_0495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45aa0fcb895e887781cc5fdd29084e6d40fdfa40ed1b7d4f7687e6a5d38d1eb4
+size 215944
diff --git a/results/test/ellipse/problem_0504.png b/results/test/ellipse/problem_0504.png
new file mode 100644
index 0000000000000000000000000000000000000000..c029c0fb216c89bdc2324ce4f255efb776e2745b
--- /dev/null
+++ b/results/test/ellipse/problem_0504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02647d1f77aacffe43bdee03e326bb843ee69b8aead5ede4b618d481b0c2ee8a
+size 214130
diff --git a/results/test/ellipse/problem_0506.png b/results/test/ellipse/problem_0506.png
new file mode 100644
index 0000000000000000000000000000000000000000..166688e0ecaab638fe7365d19b6e293edf9a2884
--- /dev/null
+++ b/results/test/ellipse/problem_0506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ceb56483900b093790c840fc475563d2d6829af6a1d8bfc5d7816069000a9b80
+size 233845
diff --git a/results/test/ellipse/problem_0509.png b/results/test/ellipse/problem_0509.png
new file mode 100644
index 0000000000000000000000000000000000000000..928480e3c6ff74152e51de5fe08091a5bf32aebf
--- /dev/null
+++ b/results/test/ellipse/problem_0509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:776bdda836e02e8549a7203343ae7b97a71434e48abef04f199e5785bb28393f
+size 232474
diff --git a/results/test/ellipse/problem_0511.png b/results/test/ellipse/problem_0511.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f5234caa34999c74485134482050219010b9fa3
--- /dev/null
+++ b/results/test/ellipse/problem_0511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66cb93e9cee1d89874eef321167a9ec9ead0aec63a52d3df33dbc25e35a67bd1
+size 221445
diff --git a/results/test/ellipse/problem_0514.png b/results/test/ellipse/problem_0514.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8c96f58e7f2fd0046e1eb6927249418734acae9
--- /dev/null
+++ b/results/test/ellipse/problem_0514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:656d8d9b0b5b99c7795925f22614cf34c7a5f0c0598afb338cfb83e9e990d59d
+size 222676
diff --git a/results/test/ellipse/problem_0523.png b/results/test/ellipse/problem_0523.png
new file mode 100644
index 0000000000000000000000000000000000000000..48e3aa0524489d75b95999ab4aa94bb99fe3f827
--- /dev/null
+++ b/results/test/ellipse/problem_0523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd223154764764bc2e7701b75267c5a83e11613674aaeb441de5a9f288aee366
+size 222740
diff --git a/results/test/ellipse/problem_0527.png b/results/test/ellipse/problem_0527.png
new file mode 100644
index 0000000000000000000000000000000000000000..8130c2c5a6bbf97caa024d67c3715803533085a0
--- /dev/null
+++ b/results/test/ellipse/problem_0527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbf091abba4085700217ecc6fab2c2245b23f7a72c6267d3cdc5a146441b3f02
+size 223658
diff --git a/results/test/ellipse/problem_0532.png b/results/test/ellipse/problem_0532.png
new file mode 100644
index 0000000000000000000000000000000000000000..76fed71a8df67498b4e63da7d2306a3f9ba0319c
--- /dev/null
+++ b/results/test/ellipse/problem_0532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec8b221e9a77559553659983b5a280ac8309ad61a99d76faf64a5b2681d4b1d0
+size 233033
diff --git a/results/test/ellipse/problem_0537.png b/results/test/ellipse/problem_0537.png
new file mode 100644
index 0000000000000000000000000000000000000000..f53d070c53f30ddcc86d25fe8142e0e8b292acb0
--- /dev/null
+++ b/results/test/ellipse/problem_0537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:594502dbf0c4bb2d9f721bd08837d2f9161d2c2f26a32acff8a30f7743556620
+size 240505
diff --git a/results/test/ellipse/problem_0542.png b/results/test/ellipse/problem_0542.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9d6888cf1bd2133f53c0753b03532daf8ea6da7
--- /dev/null
+++ b/results/test/ellipse/problem_0542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdf774453fdf4d57599edde9007d5e8e800fb144f1979a68defae6bc71365aca
+size 227384
diff --git a/results/test/ellipse/problem_0548.png b/results/test/ellipse/problem_0548.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f38de2043aa779899184b7c2957bdaf940121ac
--- /dev/null
+++ b/results/test/ellipse/problem_0548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84ad2c3eb472d6b6888779a06a9e26092049436eb2c0d495599fb8e658def2be
+size 241800
diff --git a/results/test/ellipse/problem_0551.png b/results/test/ellipse/problem_0551.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c505def3fb6feb08e75a7b2ccbf572e83dece16
--- /dev/null
+++ b/results/test/ellipse/problem_0551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc5b0f3ab7dd16a61f84621017e64a296bf3846f28e84623b6640cbd81ff408c
+size 234467
diff --git a/results/test/ellipse/problem_0554.png b/results/test/ellipse/problem_0554.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba90b9b9388d59e1aef2cbfdd3c0df613fd8e5f6
--- /dev/null
+++ b/results/test/ellipse/problem_0554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:495eeeeb46590d32a8c460e77104c2c803da57f833f6a59b6e1384fe20ee300f
+size 223885
diff --git a/results/test/ellipse/problem_0558.png b/results/test/ellipse/problem_0558.png
new file mode 100644
index 0000000000000000000000000000000000000000..f23b1e000e2f686d0304a0336498ca6c83a45e56
--- /dev/null
+++ b/results/test/ellipse/problem_0558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5722101b8c7fa1fed4d68b1724316482e93f809a5bb00a0c233135bbb40c5400
+size 195898
diff --git a/results/test/ellipse/problem_0561.png b/results/test/ellipse/problem_0561.png
new file mode 100644
index 0000000000000000000000000000000000000000..82f24005d2c8d6fb84daf4d0ad6bdace2455576d
--- /dev/null
+++ b/results/test/ellipse/problem_0561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46509dd592f6d4eb12be8200626dce1a674db16d75f8c2f1d356786eaa6aeaea
+size 222668
diff --git a/results/test/ellipse/problem_0564.png b/results/test/ellipse/problem_0564.png
new file mode 100644
index 0000000000000000000000000000000000000000..b61dd0af54cbef1852796ba308fd431780a7a9eb
--- /dev/null
+++ b/results/test/ellipse/problem_0564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c11b9c3593cf40aad91fea9c3a31dd38852e4be3a2e4e1e1053fa06294e21bc2
+size 226715
diff --git a/results/test/ellipse/problem_0568.png b/results/test/ellipse/problem_0568.png
new file mode 100644
index 0000000000000000000000000000000000000000..348b3f6e3553a0a3298fcc7d031de65285007351
--- /dev/null
+++ b/results/test/ellipse/problem_0568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f157794e2f29553afa93b764763b6574a423a51c8fb529e84d49b24c4938bba
+size 220931
diff --git a/results/test/ellipse/problem_0569.png b/results/test/ellipse/problem_0569.png
new file mode 100644
index 0000000000000000000000000000000000000000..c09b3032b7be8a71ff47ddfd3a694a8602e5e4aa
--- /dev/null
+++ b/results/test/ellipse/problem_0569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba503f130a93fcd3baf6a3f3df32f45973f377e84cb1eafd3588980fd947d1c1
+size 213662
diff --git a/results/test/ellipse/problem_0573.png b/results/test/ellipse/problem_0573.png
new file mode 100644
index 0000000000000000000000000000000000000000..82f434a811d4b27cdaae56e4c78d7a5f28f57f95
--- /dev/null
+++ b/results/test/ellipse/problem_0573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29b6f195b86c8d4e5cd0ade7abe53380c4288c42b8af4c6ff12dd20f54329915
+size 231191
diff --git a/results/test/ellipse/problem_0575.png b/results/test/ellipse/problem_0575.png
new file mode 100644
index 0000000000000000000000000000000000000000..852e80a585c6bc93db2ad718f6c88d26dc84c67e
--- /dev/null
+++ b/results/test/ellipse/problem_0575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85d6c617c909cbd49863e91fc408135e378a000fee9481012b0266f5dbb91a30
+size 224637
diff --git a/results/test/ellipse/problem_0576.png b/results/test/ellipse/problem_0576.png
new file mode 100644
index 0000000000000000000000000000000000000000..26be990362063ee6418be10f63178f5af13f0898
--- /dev/null
+++ b/results/test/ellipse/problem_0576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8906e4b33de0a10b50b5fc7d0be32d852637d3e3b6032137c73ef1a469450906
+size 225774
diff --git a/results/test/ellipse/problem_0590.png b/results/test/ellipse/problem_0590.png
new file mode 100644
index 0000000000000000000000000000000000000000..f334ddf0799b37f9484025bf0c0a2bdf7be1cc62
--- /dev/null
+++ b/results/test/ellipse/problem_0590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19b7226e653e8026b0364cea543f1fe1382c3a2d8e78a63b85ce638b33e506c6
+size 218955
diff --git a/results/test/ellipse/problem_0597.png b/results/test/ellipse/problem_0597.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9cb3f7a9015e527d289eeac2ae34384738d56c4
--- /dev/null
+++ b/results/test/ellipse/problem_0597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f14849d4fe923f5909142a038afda04ba41ded2d4a96c3ed3c8f29f431c755a
+size 227913
diff --git a/results/test/ellipse/problem_0599.png b/results/test/ellipse/problem_0599.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6af4594c197ffb07c1b6ee034e5b5dcf402e07e
--- /dev/null
+++ b/results/test/ellipse/problem_0599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2dbdf864d424af7dbad891b8159a7d98dac0e3b3f830c66dbcd8ae237d4f52f
+size 226500
diff --git a/results/test/ellipse/problem_0602.png b/results/test/ellipse/problem_0602.png
new file mode 100644
index 0000000000000000000000000000000000000000..285195f8100ddcb29da9ca1df8a5b3c0b7e7ab5e
--- /dev/null
+++ b/results/test/ellipse/problem_0602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:520b939848cb3af81af03ac30ba604164ec766963032efddbd03b4325e388ad9
+size 232060
diff --git a/results/test/ellipse/problem_0609.png b/results/test/ellipse/problem_0609.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1aa98ac6d2cffe1b2fb232ed955cf80b5ef8c2a
--- /dev/null
+++ b/results/test/ellipse/problem_0609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93ec62fed69c0ef9d2482878b42292042590728a28b6e9811b78c1d066bd4da6
+size 241169
diff --git a/results/test/ellipse/problem_0612.png b/results/test/ellipse/problem_0612.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fb735c28282f968467f996311e35ac6dcc8a7ad
--- /dev/null
+++ b/results/test/ellipse/problem_0612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47ea694dede7b254e7bfea044e1e7b996466c5e8b44043a806755e2dfd73f4d5
+size 222355
diff --git a/results/test/ellipse/problem_0614.png b/results/test/ellipse/problem_0614.png
new file mode 100644
index 0000000000000000000000000000000000000000..e36460ebef9ff2299eb84acf5a4d50b57889284a
--- /dev/null
+++ b/results/test/ellipse/problem_0614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b75f63fa458b65f17216d008c4966e823a32360d3621ca2f8953b3f0a649915
+size 228555
diff --git a/results/test/ellipse/problem_0627.png b/results/test/ellipse/problem_0627.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc4434acc085258cf82f6e7c3ed0b619cdd1e2e3
--- /dev/null
+++ b/results/test/ellipse/problem_0627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37cbf8b24f3ed3bc652ab9ecc26cbe35bbb29ac631d1faa743c1fdb5678bfcdd
+size 210971
diff --git a/results/test/ellipse/problem_0639.png b/results/test/ellipse/problem_0639.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7da68903d0e363a948eaf77be2796c34418d3b4
--- /dev/null
+++ b/results/test/ellipse/problem_0639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23dbc19b63b49e4ee8b6463ca71e6e30ead2e1bb18f0e433dbf2f60d8d8e7d78
+size 230554
diff --git a/results/test/ellipse/problem_0645.png b/results/test/ellipse/problem_0645.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbf6481159aa339e4474e06e623d1d42c849408b
--- /dev/null
+++ b/results/test/ellipse/problem_0645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ded12dc2e7d8c121f0e081a8086f1a69343ac5ac564b866705e0075c7fed3651
+size 228645
diff --git a/results/test/ellipse/problem_0650.png b/results/test/ellipse/problem_0650.png
new file mode 100644
index 0000000000000000000000000000000000000000..0407c2a4d99ad51c06c2ecf173150340009bff39
--- /dev/null
+++ b/results/test/ellipse/problem_0650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:131ed4484120bb807da70d09aa52a2d6dd0fbb38fa33f0a3c341c529c181ecf6
+size 220490
diff --git a/results/test/ellipse/problem_0659.png b/results/test/ellipse/problem_0659.png
new file mode 100644
index 0000000000000000000000000000000000000000..d434928a931a45cfc8d07659d9dc6add206c5e6c
--- /dev/null
+++ b/results/test/ellipse/problem_0659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d81f237939988b03b672af930cf4d29bec0912a8368a130d949710eb4ac31529
+size 224974
diff --git a/results/test/ellipse/problem_0660.png b/results/test/ellipse/problem_0660.png
new file mode 100644
index 0000000000000000000000000000000000000000..b604bf5ba33229565bb6544c37e3acda279a3b6f
--- /dev/null
+++ b/results/test/ellipse/problem_0660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2913fd105c5f6c2147138f988731c1c9f18d9a19e76040379fcea8ec7d1080e6
+size 232274
diff --git a/results/test/ellipse/problem_0670.png b/results/test/ellipse/problem_0670.png
new file mode 100644
index 0000000000000000000000000000000000000000..943ac05cb46182ae805bc7a79a082bd27436c366
--- /dev/null
+++ b/results/test/ellipse/problem_0670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83ad8ee3e6f31b88c9f29c410b765d427495a6f40bc2da1f815b1f5ed4ea2947
+size 217861
diff --git a/results/test/ellipse/problem_0672.png b/results/test/ellipse/problem_0672.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e702aa4123142a47ce184aa1f98a4c894d02b54
--- /dev/null
+++ b/results/test/ellipse/problem_0672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03dcef473efc0410cf6c75bee34e3f1cb0e15314d1538c729b0f8d7e584d05f9
+size 214994
diff --git a/results/test/ellipse/problem_0674.png b/results/test/ellipse/problem_0674.png
new file mode 100644
index 0000000000000000000000000000000000000000..025500529624da271f0a4122db6f3a5ed7bd1c1a
--- /dev/null
+++ b/results/test/ellipse/problem_0674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:524e53f88aab1c610346bb9a5718d65cb0106c295cfff438e45fb14ac25b1fa0
+size 234914
diff --git a/results/test/ellipse/problem_0680.png b/results/test/ellipse/problem_0680.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c96e0f373c3894af994820d03228597e7e187d1
--- /dev/null
+++ b/results/test/ellipse/problem_0680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a955ef83adb418ae3e7bf1dde7a78614f1e9cd22e28eaabf0cb02664267b996a
+size 214365
diff --git a/results/test/ellipse/problem_0683.png b/results/test/ellipse/problem_0683.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b1c6e0016d0fbbd54f74d3f26d235041ce462c2
--- /dev/null
+++ b/results/test/ellipse/problem_0683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1a111c98b0a4d9cc21babd05a69eeef9aa8d03644f3b71bc3b24c04f881700f
+size 226033
diff --git a/results/test/ellipse/problem_0686.png b/results/test/ellipse/problem_0686.png
new file mode 100644
index 0000000000000000000000000000000000000000..189243d9f6635d73f33769e8296e9340aa1b15b0
--- /dev/null
+++ b/results/test/ellipse/problem_0686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3da73de867fe53e3e48e4d27d2297b70cba8a4b888fc77d6ae447d766cd401c
+size 214522
diff --git a/results/test/ellipse/problem_0692.png b/results/test/ellipse/problem_0692.png
new file mode 100644
index 0000000000000000000000000000000000000000..24e157c59d7c80f8fe044f07ce77bd3c6d9f55ff
--- /dev/null
+++ b/results/test/ellipse/problem_0692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3119ea7349a13677b572e96228e4089e4e91411a7647b11e608edd67ac7cf96
+size 229359
diff --git a/results/test/ellipse/problem_0695.png b/results/test/ellipse/problem_0695.png
new file mode 100644
index 0000000000000000000000000000000000000000..2429c8178040fad7667a9556922b8e21bfc39c85
--- /dev/null
+++ b/results/test/ellipse/problem_0695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf006cbe09dab32bc312b4290432131dea8bc1651317b0a37a42a48fe49595d1
+size 211308
diff --git a/results/test/ellipse/problem_0697.png b/results/test/ellipse/problem_0697.png
new file mode 100644
index 0000000000000000000000000000000000000000..440ba84eae654af40f4c788043b9adb106a9299f
--- /dev/null
+++ b/results/test/ellipse/problem_0697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c3181f95f7f499923b6277b4bb4e47de4b49ff21796eecf818e91a889bd6864
+size 221007
diff --git a/results/test/ellipse/problem_0700.png b/results/test/ellipse/problem_0700.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cd8dbf74e5b07ba22584abb025d2aaf4b1174e0
--- /dev/null
+++ b/results/test/ellipse/problem_0700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2bafc47a26c76644a818056dc111b004355a4cd5ea80f9d49334ce93d83c968
+size 222641
diff --git a/results/test/ellipse/problem_0705.png b/results/test/ellipse/problem_0705.png
new file mode 100644
index 0000000000000000000000000000000000000000..14482fec1129240d0d37356ca741ada42aa7a656
--- /dev/null
+++ b/results/test/ellipse/problem_0705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f1a706bed2408b5ea13543206fae631827091e86b2ad7bbaaadb633b23b21a5
+size 219322
diff --git a/results/test/ellipse/problem_0709.png b/results/test/ellipse/problem_0709.png
new file mode 100644
index 0000000000000000000000000000000000000000..2035683e9fd651f08547519bf5bccdc6b7d766d7
--- /dev/null
+++ b/results/test/ellipse/problem_0709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cc12b0e8228be5323a6d75c9041d139ef9683902060304c917c01c4ba23884c
+size 218827
diff --git a/results/test/ellipse/problem_0714.png b/results/test/ellipse/problem_0714.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee5831c44695d6e56a1742bcf1f84ccf9c11add1
--- /dev/null
+++ b/results/test/ellipse/problem_0714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad8d09dad416d6e2088c62a4dff17ed497861f2bfb333b3841e30a1a9a26411a
+size 218013
diff --git a/results/test/ellipse/problem_0715.png b/results/test/ellipse/problem_0715.png
new file mode 100644
index 0000000000000000000000000000000000000000..20ada454ed27a2de22871f6902f8ef5e4fd9084a
--- /dev/null
+++ b/results/test/ellipse/problem_0715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:074b580a957c6aea391798d0e417ad6e64a0ed4c6e8cc7a9e728a11dd57cd5e1
+size 224525
diff --git a/results/test/ellipse/problem_0721.png b/results/test/ellipse/problem_0721.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c8dae629d7a3aa76aae219e366fd8020f46c31f
--- /dev/null
+++ b/results/test/ellipse/problem_0721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebfb68b0c6c49be72a6bf0cc72f9edbe7c27e9e5a2c6be454bfd9789abbe6d4d
+size 206157
diff --git a/results/test/ellipse/problem_0722.png b/results/test/ellipse/problem_0722.png
new file mode 100644
index 0000000000000000000000000000000000000000..d798b91afea2b91dfc028080e31607e7af07db1b
--- /dev/null
+++ b/results/test/ellipse/problem_0722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dfbd1413f96f158a28c06067aba6e172a9406ec13cdf9b60bb8cfc8b6a8a4ed
+size 189096
diff --git a/results/test/ellipse/problem_0723.png b/results/test/ellipse/problem_0723.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbbbbc4fa2898eaca042265cff4f8effca7ce25f
--- /dev/null
+++ b/results/test/ellipse/problem_0723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07d78ac6b58e386c0857439b3bfb4236610bc45eef53327c01aa9bf3665456fc
+size 227752
diff --git a/results/test/ellipse/problem_0724.png b/results/test/ellipse/problem_0724.png
new file mode 100644
index 0000000000000000000000000000000000000000..65d7aeb0cf2fe76d9178ea59206671db14b6de44
--- /dev/null
+++ b/results/test/ellipse/problem_0724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c47c8400bdc5782dd2f7c9ccd817dca1bffd806ab23454ce56eb073d9d83fcf
+size 194564
diff --git a/results/test/ellipse/problem_0726.png b/results/test/ellipse/problem_0726.png
new file mode 100644
index 0000000000000000000000000000000000000000..05f29c08558f6835d1257f1fb05dcda28b653bd3
--- /dev/null
+++ b/results/test/ellipse/problem_0726.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e2edf18f7984375955f7a53d236c54ea11719d77665d88282d7593a98ffb137
+size 228133
diff --git a/results/test/ellipse/problem_0734.png b/results/test/ellipse/problem_0734.png
new file mode 100644
index 0000000000000000000000000000000000000000..2dcf16823cd61efbb523cc5eccbd256507dce5c1
--- /dev/null
+++ b/results/test/ellipse/problem_0734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:466a5c7a04fa9534276dcae6d0cbdc9d059dd207856d9901b48f15b763f709b7
+size 232160
diff --git a/results/test/ellipse/problem_0739.png b/results/test/ellipse/problem_0739.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9a7e90e85c45cdf856ff5484c5ccc42f9953fb4
--- /dev/null
+++ b/results/test/ellipse/problem_0739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88b76754da7c56fda8df587f9b05c605ce4c1d19ffb2509e66d929bdd59ab2bb
+size 192474
diff --git a/results/test/ellipse/problem_0740.png b/results/test/ellipse/problem_0740.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d73265fcaf99039bd71878fd0e70362518ff64f
--- /dev/null
+++ b/results/test/ellipse/problem_0740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9eefbaa77686b6d7e43a19f449290946726f33e6ccf8785b8b5db8ea7a2e43e7
+size 229235
diff --git a/results/test/ellipse/problem_0744.png b/results/test/ellipse/problem_0744.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd1f810d4e120962f432bff826c617dffee26664
--- /dev/null
+++ b/results/test/ellipse/problem_0744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e4b49bbb51ee1fa566fea32cce5c6831ac034555ba595d6c3f9cba567061376
+size 214093
diff --git a/results/test/ellipse/problem_0749.png b/results/test/ellipse/problem_0749.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4146e7e7065cb39d39df4796dbca2c6e5188c52
--- /dev/null
+++ b/results/test/ellipse/problem_0749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c007de6c77240d31ebc92a9ddd668533bcda03bdd79d8e2ba241570998e2aede
+size 240903
diff --git a/results/test/ellipse/problem_0758.png b/results/test/ellipse/problem_0758.png
new file mode 100644
index 0000000000000000000000000000000000000000..4144bbd30240219bb4c14f384f656d5bca8d0ee4
--- /dev/null
+++ b/results/test/ellipse/problem_0758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2728abd6efea9a841edddb7097ba591d2f9222935ef270e20dae566c68a7cc02
+size 206712
diff --git a/results/test/ellipse/problem_0773.png b/results/test/ellipse/problem_0773.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac8a10481570725fb9b044a76d2afb7aa8ea7eb3
--- /dev/null
+++ b/results/test/ellipse/problem_0773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5164d6926ae2409eb49f1973daef52d66233b785814f8408062205656edba800
+size 229759
diff --git a/results/test/ellipse/problem_0774.png b/results/test/ellipse/problem_0774.png
new file mode 100644
index 0000000000000000000000000000000000000000..bda13a629b0124ea4893b486f7bc13c56a8b435c
--- /dev/null
+++ b/results/test/ellipse/problem_0774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78835f969451c47f59e2406aa12cae9b33906fba2d4299b3e9a94c16f4232e72
+size 214028
diff --git a/results/test/ellipse/problem_0775.png b/results/test/ellipse/problem_0775.png
new file mode 100644
index 0000000000000000000000000000000000000000..779e6a981efe8001ebea177400a1b405102095a6
--- /dev/null
+++ b/results/test/ellipse/problem_0775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3fbc95893fd694840ba86ec7a7c19dd83b85481457c3d3e668a8e9f2cf2b566
+size 214671
diff --git a/results/test/ellipse/problem_0777.png b/results/test/ellipse/problem_0777.png
new file mode 100644
index 0000000000000000000000000000000000000000..a50692fb98a0416113d1a421cded2eecd3889361
--- /dev/null
+++ b/results/test/ellipse/problem_0777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c348e6580f0bca790ce3050fb600ac18371b6b2eba04df795f8d9b73210586a6
+size 211808
diff --git a/results/test/ellipse/problem_0778.png b/results/test/ellipse/problem_0778.png
new file mode 100644
index 0000000000000000000000000000000000000000..e827d67d0ead27141a60655f86875b9cf6ca4917
--- /dev/null
+++ b/results/test/ellipse/problem_0778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f88afab3908985fcb5e469783799a68700dbc35961556234efb0f114168151ec
+size 217884
diff --git a/results/test/ellipse/problem_0785.png b/results/test/ellipse/problem_0785.png
new file mode 100644
index 0000000000000000000000000000000000000000..b81ae1ff85a3abca447afad410bcd0cea57ec2d2
--- /dev/null
+++ b/results/test/ellipse/problem_0785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c87d9930856bfcda1262918c96dc2dce27469f3850cfb605a03ce0db52e28841
+size 194488
diff --git a/results/test/ellipse/problem_0786.png b/results/test/ellipse/problem_0786.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcce82b43d94c63cfb5550de1ed853c232c2a3b6
--- /dev/null
+++ b/results/test/ellipse/problem_0786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d6f100aee9b496db061216e2bd5d94c5a6dd14818a1a88c930187897427e986
+size 229024
diff --git a/results/test/ellipse/problem_0789.png b/results/test/ellipse/problem_0789.png
new file mode 100644
index 0000000000000000000000000000000000000000..2261896cb3827909cec87d6940494f44e8be8e36
--- /dev/null
+++ b/results/test/ellipse/problem_0789.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe3dbedc129128463014a6f13420fc522aafc8abee66cb06a71835993ca2765a
+size 245999
diff --git a/results/test/ellipse/problem_0790.png b/results/test/ellipse/problem_0790.png
new file mode 100644
index 0000000000000000000000000000000000000000..693ea4cdf12693237fcb987b302e7763ebb6c801
--- /dev/null
+++ b/results/test/ellipse/problem_0790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b891eb4dc4fb15be69d4458969e1d81902144b92d8e3b54eeb23739f53697c2
+size 193105
diff --git a/results/test/ellipse/problem_0791.png b/results/test/ellipse/problem_0791.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfcf168566647585d51e0b67437712a3aba3062e
--- /dev/null
+++ b/results/test/ellipse/problem_0791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53a95b49ec61562ea58683209fa0f7d9c445a81a69b81d34606249397aa45ed1
+size 230263
diff --git a/results/test/ellipse/problem_0794.png b/results/test/ellipse/problem_0794.png
new file mode 100644
index 0000000000000000000000000000000000000000..364a28c76844808a80f160facc19c51fe8892e43
--- /dev/null
+++ b/results/test/ellipse/problem_0794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cd9e8bb2583ac851b955035bba61d675e355f73557afbd60025e9bbe634fb51
+size 227767
diff --git a/results/test/ellipse/problem_0796.png b/results/test/ellipse/problem_0796.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e34d3427cb7a89b71cac39be3ee23654dddaa25
--- /dev/null
+++ b/results/test/ellipse/problem_0796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67d26bac8fb79873f4197aee35ab5d172af6ac269ea65e24039ff37d7c00efb2
+size 227694
diff --git a/results/test/ellipse/problem_0803.png b/results/test/ellipse/problem_0803.png
new file mode 100644
index 0000000000000000000000000000000000000000..daaac76b0e156ba999f5421830bd8be4fc720cd0
--- /dev/null
+++ b/results/test/ellipse/problem_0803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2dc7f988d9db68e1cc773ae7e12e5d3f10eca7b318acdb110507444455c0f09e
+size 224040
diff --git a/results/test/ellipse/problem_0805.png b/results/test/ellipse/problem_0805.png
new file mode 100644
index 0000000000000000000000000000000000000000..22917ee591e95b129738aa92605a54f6cb391d76
--- /dev/null
+++ b/results/test/ellipse/problem_0805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72c60eb039a59810c8dc489fec6e3188f2cbf905a24841746c8ac51384760217
+size 243550
diff --git a/results/test/ellipse/problem_0807.png b/results/test/ellipse/problem_0807.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c98b625568dcadd3d540c30fae622967437d3c3
--- /dev/null
+++ b/results/test/ellipse/problem_0807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63ddd4e69f4a140f801468ed351275c7e9a8a874075618b651e705c7dc62b167
+size 221899
diff --git a/results/test/ellipse/problem_0815.png b/results/test/ellipse/problem_0815.png
new file mode 100644
index 0000000000000000000000000000000000000000..eab1b963da641684865c323594ff28f9455f5dd0
--- /dev/null
+++ b/results/test/ellipse/problem_0815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c72a99a105dfc7c840a47a2b04c5041bf8bf65268aaaf5970d82168c16ce47dd
+size 215959
diff --git a/results/test/ellipse/problem_0818.png b/results/test/ellipse/problem_0818.png
new file mode 100644
index 0000000000000000000000000000000000000000..12f6ee69df16f7340b871c766828b3f89060a2fd
--- /dev/null
+++ b/results/test/ellipse/problem_0818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80896ab453210b1ec8f0f34c2110ce47fe707071d274fb632aba23da15274012
+size 225467
diff --git a/results/test/ellipse/problem_0825.png b/results/test/ellipse/problem_0825.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaed6e169f9f667b615b02529e7530e54af94d3b
--- /dev/null
+++ b/results/test/ellipse/problem_0825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4b1c4a197937a2cefbfdcfde2f068d61d3610b4cebf057f982d1c4bb19fd710
+size 218739
diff --git a/results/test/ellipse/problem_0837.png b/results/test/ellipse/problem_0837.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3aa1b23d4ec55c46433beda300d8c9c8d3ff75d
--- /dev/null
+++ b/results/test/ellipse/problem_0837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:475d5008df7cb6951d25019e6a65798732922c56c0127803c6a3a0dd0df81527
+size 242769
diff --git a/results/test/ellipse/problem_0844.png b/results/test/ellipse/problem_0844.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f7ada59a75943fae1e13ece860b6dc18faf2288
--- /dev/null
+++ b/results/test/ellipse/problem_0844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6aea04ee48fdc4b6a3cc5a7f220c092c174c80fbe17e69ba618c905ca86d4952
+size 242291
diff --git a/results/test/ellipse/problem_0847.png b/results/test/ellipse/problem_0847.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc80ddb830d04f37f6c2350af382ab076539b85f
--- /dev/null
+++ b/results/test/ellipse/problem_0847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:290125da04571d8b286a86e6ee92c82c114dbdae9dd0c321c94e7f1f19964ba0
+size 229375
diff --git a/results/test/ellipse/problem_0857.png b/results/test/ellipse/problem_0857.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ae7d40d8ddb766b811aea57d4b51e67cfcccc01
--- /dev/null
+++ b/results/test/ellipse/problem_0857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1c82dd3f686beacdfd2dfc3361ed8bec3ba129fdd763f67c00d0be7fb0016c8
+size 234107
diff --git a/results/test/ellipse/problem_0858.png b/results/test/ellipse/problem_0858.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac58521bd0798a198da681cff4470f06195a0ff4
--- /dev/null
+++ b/results/test/ellipse/problem_0858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60b871033fb3d06d22ba1247f6e3a1d384534f6bbd3032857a721425021d5ad6
+size 243996
diff --git a/results/test/ellipse/problem_0866.png b/results/test/ellipse/problem_0866.png
new file mode 100644
index 0000000000000000000000000000000000000000..21ad9b795aa41128424991743813ddc6c787166b
--- /dev/null
+++ b/results/test/ellipse/problem_0866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ac73aef6afdd6c0c18f89d6c6fcf0282b846bec35045e635848107407ee9bb8
+size 228926
diff --git a/results/test/ellipse/problem_0870.png b/results/test/ellipse/problem_0870.png
new file mode 100644
index 0000000000000000000000000000000000000000..8007ba80df4fd3905f07cbd71306956a361af978
--- /dev/null
+++ b/results/test/ellipse/problem_0870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e868a71b86b78618cd7c66552b0adbb3e27772af2d0ea2e66eb556f26093e670
+size 247149
diff --git a/results/test/ellipse/problem_0877.png b/results/test/ellipse/problem_0877.png
new file mode 100644
index 0000000000000000000000000000000000000000..13fe056ef1bb67295014ed6da7cdf173ad285a3a
--- /dev/null
+++ b/results/test/ellipse/problem_0877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f9102314cf13a316a2b5da21309d3faad7c2ca6416842fdaa4c9bd88a6c095c
+size 251019
diff --git a/results/test/ellipse/problem_0884.png b/results/test/ellipse/problem_0884.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd0cc0b9f1daad89dcb633a0995568fbcf5b4abf
--- /dev/null
+++ b/results/test/ellipse/problem_0884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18ed6882ea8652d6768be43acf05faac2a9da44e1511d29dc7987b73e790db99
+size 211225
diff --git a/results/test/ellipse/problem_0887.png b/results/test/ellipse/problem_0887.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2e2ea7f9b86460b5558540d7839616ca95af647
--- /dev/null
+++ b/results/test/ellipse/problem_0887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f75b796aa97fc6dc36268268fb4bc3ef059303afeed1cd7f565decd7caa046
+size 217631
diff --git a/results/test/ellipse/problem_0888.png b/results/test/ellipse/problem_0888.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a1482f753b6491876b1b0613052c153f9f3dfb7
--- /dev/null
+++ b/results/test/ellipse/problem_0888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af4bab9be84eb3ec3429ff64e40c09356ddbfa318a6d6500c4ab91521377e68a
+size 219012
diff --git a/results/test/ellipse/problem_0892.png b/results/test/ellipse/problem_0892.png
new file mode 100644
index 0000000000000000000000000000000000000000..c47b089516cf01142ab40bb3fcfbc767aa6fbf82
--- /dev/null
+++ b/results/test/ellipse/problem_0892.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8791297977f3165665985e6469b809dfc3b367ec09e7d1c735d5ff1b992f6582
+size 218816
diff --git a/results/test/ellipse/problem_0900.png b/results/test/ellipse/problem_0900.png
new file mode 100644
index 0000000000000000000000000000000000000000..68b9c0c2afebb873f139de3cad4936ea3d037e5a
--- /dev/null
+++ b/results/test/ellipse/problem_0900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56697b87e34aef767976bc7384b58a583958b90f246e4fb15f077c37e090ff8a
+size 185142
diff --git a/results/test/ellipse/problem_0902.png b/results/test/ellipse/problem_0902.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f6adfdf02cc7f886559dec395d575b13775ce91
--- /dev/null
+++ b/results/test/ellipse/problem_0902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0eac692a56ba96bd515136e446dca4844d6b5729cfa0c496574022d8f4d0eed
+size 234697
diff --git a/results/test/ellipse/problem_0903.png b/results/test/ellipse/problem_0903.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4e8bd8aec556499848b853d7f25bb3a3a8d32ba
--- /dev/null
+++ b/results/test/ellipse/problem_0903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1860430a8e252a0a6f776e0f034258b9627466757a0b5f91d5b1015b7264ec57
+size 230169
diff --git a/results/test/ellipse/problem_0915.png b/results/test/ellipse/problem_0915.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5e754e81e9ffb5ff2c2a958bc3755840b8a0312
--- /dev/null
+++ b/results/test/ellipse/problem_0915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6766c02e198b3ac4da8ca1d142dfde2b50f0a91b3bef9bfe2ae27810af2d3a5f
+size 212565
diff --git a/results/test/ellipse/problem_0924.png b/results/test/ellipse/problem_0924.png
new file mode 100644
index 0000000000000000000000000000000000000000..b32280821b15db216d86888e5f579fae717615e4
--- /dev/null
+++ b/results/test/ellipse/problem_0924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a5934763ef8dd68101df30015b9672d25f63d7eaa9ba7f76b765c32c81ead5a
+size 189433
diff --git a/results/test/ellipse/problem_0926.png b/results/test/ellipse/problem_0926.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf8f2f35a9eabd593e17f87c22484f11211b9425
--- /dev/null
+++ b/results/test/ellipse/problem_0926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce1f40aa844b755e07d5c7a4f6cbd229fb8dde5f857e7cc74b9da2cd019583dc
+size 230092
diff --git a/results/test/ellipse/problem_0929.png b/results/test/ellipse/problem_0929.png
new file mode 100644
index 0000000000000000000000000000000000000000..246d806f7d80ee86fadde9415d0b60fd1e09d7d2
--- /dev/null
+++ b/results/test/ellipse/problem_0929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1ae357a6e57066b21c968feea6b6a587ccb787a026fbd891a5a98f04908f12a
+size 223333
diff --git a/results/test/ellipse/problem_0930.png b/results/test/ellipse/problem_0930.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e017cba7e0ad2fee96361d08464da9401afca08
--- /dev/null
+++ b/results/test/ellipse/problem_0930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cd4a299f14fbee69af9068829a40913b918d35780e580eec6fb208a816c7ee0
+size 214591
diff --git a/results/test/ellipse/problem_0931.png b/results/test/ellipse/problem_0931.png
new file mode 100644
index 0000000000000000000000000000000000000000..f81a1dd13af3230a941fc9fda2d4b8b88b08238b
--- /dev/null
+++ b/results/test/ellipse/problem_0931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfb7d07d2821200acf67bd99f5bc0e836a7132607af3e6eedd3332fb9e7fb6a7
+size 222557
diff --git a/results/test/ellipse/problem_0932.png b/results/test/ellipse/problem_0932.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1c098614b4004967a5f0560e55dd8f6eb0f4123
--- /dev/null
+++ b/results/test/ellipse/problem_0932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2d19400e0699946effe8ee14bb24a3b886e2b6760c60a3069b959cac2ee815f
+size 210610
diff --git a/results/test/ellipse/problem_0942.png b/results/test/ellipse/problem_0942.png
new file mode 100644
index 0000000000000000000000000000000000000000..89f3d6c86cc0088b4383becfee1904c22298aa63
--- /dev/null
+++ b/results/test/ellipse/problem_0942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef08e94cf87832d335efc02c914c9843a6f7182fb457d318971957d1dae96b36
+size 217372
diff --git a/results/test/ellipse/problem_0943.png b/results/test/ellipse/problem_0943.png
new file mode 100644
index 0000000000000000000000000000000000000000..8aabd22199aa6e21d589ca90ba044d0ea2a052cb
--- /dev/null
+++ b/results/test/ellipse/problem_0943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da09901cb9e6639ea4a40cccdc9652277e2873d1949136f904a4631e909ef75d
+size 235385
diff --git a/results/test/ellipse/problem_0944.png b/results/test/ellipse/problem_0944.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd3529a936412f4f76ac6bec2c05e16d3837b359
--- /dev/null
+++ b/results/test/ellipse/problem_0944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:569eb7cad549cfb556c7ee516903789e11442a28c38bfd83b10dbbd2516cbbf9
+size 224878
diff --git a/results/test/ellipse/problem_0947.png b/results/test/ellipse/problem_0947.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a70a6347c5af1e360e9097f2fecef708dc05321
--- /dev/null
+++ b/results/test/ellipse/problem_0947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8eab4c2534e77b8bf514ec531ac1e6d1444fabcba02a5ce8b0d93bf6a6292555
+size 212046
diff --git a/results/test/ellipse/problem_0951.png b/results/test/ellipse/problem_0951.png
new file mode 100644
index 0000000000000000000000000000000000000000..a24232f7d6b5559c2cc615fbc2de22fa0f99799a
--- /dev/null
+++ b/results/test/ellipse/problem_0951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:677665aa58065cdbcdcb5ac05b2c025a95ad90be849ea102932ebee85040f577
+size 218347
diff --git a/results/test/ellipse/problem_0953.png b/results/test/ellipse/problem_0953.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa8791602533ca2bd3010c37a25885c525cdff2d
--- /dev/null
+++ b/results/test/ellipse/problem_0953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25377c836360e565e179d8ad091ec23d18ba6c6a22be17651373026252f12017
+size 233499
diff --git a/results/test/ellipse/problem_0960.png b/results/test/ellipse/problem_0960.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f1ddfb68b8acb7d98ae1789efc3e93131117c11
--- /dev/null
+++ b/results/test/ellipse/problem_0960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a08f7fe6a119b345fa4fbf875741d9047b8ba37db77758f893063ee79ae3c39e
+size 211320
diff --git a/results/test/ellipse/problem_0961.png b/results/test/ellipse/problem_0961.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa6012e084d6e7396dde1050fff4fc1bb6022631
--- /dev/null
+++ b/results/test/ellipse/problem_0961.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:183216cfadc56e2bf1ca51291958d9ab4a6c5a6e6cfbd6b75e6a616fab0b081d
+size 207739
diff --git a/results/test/ellipse/problem_0967.png b/results/test/ellipse/problem_0967.png
new file mode 100644
index 0000000000000000000000000000000000000000..c57107e51f9c0e95246316300de0d46a806ebb4c
--- /dev/null
+++ b/results/test/ellipse/problem_0967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30e02ac64f5b982fe76fbb60d48fcbbcc65a3c24270a635b291d38cdfaa6d22d
+size 215205
diff --git a/results/test/ellipse/problem_0972.png b/results/test/ellipse/problem_0972.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1bb1220d9fe5481dd01e82a239c9f8ccbeba977
--- /dev/null
+++ b/results/test/ellipse/problem_0972.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd65e3227dc27b97873f1cb5341f384a0aa67169d1ce0e422b46087d0d0d4120
+size 227850
diff --git a/results/test/ellipse/problem_0981.png b/results/test/ellipse/problem_0981.png
new file mode 100644
index 0000000000000000000000000000000000000000..cda60cc0f55c6ecb9cae62d407dbd2e34148152b
--- /dev/null
+++ b/results/test/ellipse/problem_0981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f2a59c2bc30756ba646f176e39d7edc3369c79a02b140914f0dde68290fd5ee
+size 191714
diff --git a/results/test/ellipse/problem_0982.png b/results/test/ellipse/problem_0982.png
new file mode 100644
index 0000000000000000000000000000000000000000..575a56296aff7b42b03ab23c8bad9ab5708c0c32
--- /dev/null
+++ b/results/test/ellipse/problem_0982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a07dfbf425e7fb58c665cf7502bbec3af5b5117700ed4ac434832442424c4ea1
+size 222065
diff --git a/results/test/ellipse/problem_0983.png b/results/test/ellipse/problem_0983.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b07f050b44ee42a396e4e50f8fa1368843953e2
--- /dev/null
+++ b/results/test/ellipse/problem_0983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be6838afd9004a90d970565c6b3e25a47625ed7d6af4e7a2da3a0040f7c883ae
+size 213248
diff --git a/results/test/ellipse/problem_0986.png b/results/test/ellipse/problem_0986.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6dc13b41ff46039124514ff3aabfe3d758a94b0
--- /dev/null
+++ b/results/test/ellipse/problem_0986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45495072970850a855de45d2e3582013a6ce0167085cfbdfcdb31d9a4d58681b
+size 227808
diff --git a/results/test/ellipse/problem_0990.png b/results/test/ellipse/problem_0990.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c61efcdc95b07242b809849b0bef0acaded3985
--- /dev/null
+++ b/results/test/ellipse/problem_0990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72e36208b903fd97100f729b98c4865321b825c46a53de83f2139f815d5172d5
+size 223363
diff --git a/results/test/ellipse/problem_0991.png b/results/test/ellipse/problem_0991.png
new file mode 100644
index 0000000000000000000000000000000000000000..15ad5966486f77e6be8a51b7657875eaa402dff2
--- /dev/null
+++ b/results/test/ellipse/problem_0991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0e8b7bf200ec068971e8f91c1c49b64cc520b692fd8233300ba9979cf4c8561
+size 235927
diff --git a/results/test/ellipse/problem_0992.png b/results/test/ellipse/problem_0992.png
new file mode 100644
index 0000000000000000000000000000000000000000..f287fa05b037408d91b6f372c755752ec813c5bf
--- /dev/null
+++ b/results/test/ellipse/problem_0992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:143511baa99d13c1bfef16c25b94cdd7b21c39b7efdec1ca20f491ba7b2dff51
+size 213326
diff --git a/results/test/ellipse/problem_1005.png b/results/test/ellipse/problem_1005.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b178c090296e1d9ab4a11d4118185072e4e4947
--- /dev/null
+++ b/results/test/ellipse/problem_1005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69f0ab1c2741c18ec2af1aa6238357bf108affe96775b867118dc1d0f6a9282b
+size 213252
diff --git a/results/test/ellipse/problem_1008.png b/results/test/ellipse/problem_1008.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bb7b5dd675c7948145a6e9335eb40f8319c6812
--- /dev/null
+++ b/results/test/ellipse/problem_1008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ef3cc99586b307c8bae263fbbb954f2d7acce5dc7a7351ca8f0c9d250a26a0c
+size 210336
diff --git a/results/test/ellipse/problem_1011.png b/results/test/ellipse/problem_1011.png
new file mode 100644
index 0000000000000000000000000000000000000000..dedabdcbc8cc260989ada5f21f2e088ae425d5b3
--- /dev/null
+++ b/results/test/ellipse/problem_1011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d27b8fcec02191a5b0839ae9dd66cfa656c8373663d868c6b443edd2c02be9d7
+size 219580
diff --git a/results/test/ellipse/problem_1012.png b/results/test/ellipse/problem_1012.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbb721c67bae545a6ff57a901f93310eef299270
--- /dev/null
+++ b/results/test/ellipse/problem_1012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6911dd60edbaa94a9085a5a79e34cc023906d068088c072d7a4c15f9810f5f9f
+size 230530
diff --git a/results/test/ellipse/problem_1014.png b/results/test/ellipse/problem_1014.png
new file mode 100644
index 0000000000000000000000000000000000000000..65f99d01ec3d2e710b14558d13da11fd125ff9ba
--- /dev/null
+++ b/results/test/ellipse/problem_1014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86c9b72f5cfbd80e2546e26a8864adb770ec02341be5f5c228ab85319d6bfb62
+size 189975
diff --git a/results/test/ellipse/problem_1016.png b/results/test/ellipse/problem_1016.png
new file mode 100644
index 0000000000000000000000000000000000000000..22af77ceec5bd7f19950c4eef3ebcf27d445f016
--- /dev/null
+++ b/results/test/ellipse/problem_1016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7a2c9db18f1f25e97f5a1ebe91919374ee8ac75625ffd4ec5db50d7154e74d5
+size 233307
diff --git a/results/test/ellipse/problem_1019.png b/results/test/ellipse/problem_1019.png
new file mode 100644
index 0000000000000000000000000000000000000000..1018c479c408ceb7ee687e7408640224d5b2a21a
--- /dev/null
+++ b/results/test/ellipse/problem_1019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:797ec3ed914d33a875a6138f8e88fcc2a0c89af1a7e50dc65b4bd6e53ea0dbe3
+size 239025
diff --git a/results/test/ellipse/problem_1022.png b/results/test/ellipse/problem_1022.png
new file mode 100644
index 0000000000000000000000000000000000000000..cadb4d322e0b346c3ebac4f6980169250c52b522
--- /dev/null
+++ b/results/test/ellipse/problem_1022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31e662a76471f956b3db192846f3f8fdc9d67ea176d54a0a3100941ff05b87c7
+size 231051
diff --git a/results/test/ellipse/problem_1023.png b/results/test/ellipse/problem_1023.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1b5aa468c726e2a8057269f2b639b879dc3d6e4
--- /dev/null
+++ b/results/test/ellipse/problem_1023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e87b2a1b3bae0aae9ed18030477434cd47af048b4969f9bcc77e0e2535f419eb
+size 201248
diff --git a/results/test/ellipse/problem_1024.png b/results/test/ellipse/problem_1024.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b0bdbfe07c84c87b994feb1b4b48c8d9d01e0ad
--- /dev/null
+++ b/results/test/ellipse/problem_1024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e60684394babf06e354cecc9b70b1914ea1c97c3367680aa3984569e6b1b868
+size 196899
diff --git a/results/test/ellipse/problem_1027.png b/results/test/ellipse/problem_1027.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6721388a8f04d163e4c941c36be2490dabe921b
--- /dev/null
+++ b/results/test/ellipse/problem_1027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b3749aa31d4df2053df34a7bc69bf10854ab52dbe39f4d7517d33eb64b865de
+size 229813
diff --git a/results/test/ellipse/problem_1031.png b/results/test/ellipse/problem_1031.png
new file mode 100644
index 0000000000000000000000000000000000000000..96371027062b53171022c18b9ced40e3812449ab
--- /dev/null
+++ b/results/test/ellipse/problem_1031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6da1a2d193af79debbeca690a55b2993641b4942e2b986c7db21ac58a138fdb
+size 211210
diff --git a/results/test/ellipse/problem_1042.png b/results/test/ellipse/problem_1042.png
new file mode 100644
index 0000000000000000000000000000000000000000..972e0926a167e6fc1cfc60744d2ce55e26832260
--- /dev/null
+++ b/results/test/ellipse/problem_1042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1e7fd859b315ed0ee930e43228d49dc549b8beb8280291b0332651706e8cbbc
+size 193003
diff --git a/results/test/ellipse/problem_1043.png b/results/test/ellipse/problem_1043.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eae3f93ef92e857da7b121d775af70c6b89ca61
--- /dev/null
+++ b/results/test/ellipse/problem_1043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e60558aa5a1565394a87780f61273c6a19bfd08118937c32801b50a522578d9
+size 248317
diff --git a/results/test/ellipse/problem_1044.png b/results/test/ellipse/problem_1044.png
new file mode 100644
index 0000000000000000000000000000000000000000..31f762deb0039fad18dc02655bb057b658ef7f22
--- /dev/null
+++ b/results/test/ellipse/problem_1044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57c36f0bbf93691ad0d6595c26c1f0cc7cb1a2918676a45672c1847dc557765d
+size 211393
diff --git a/results/test/ellipse/problem_1045.png b/results/test/ellipse/problem_1045.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5caa978b3325986df77195563df7a6aff7adb41
--- /dev/null
+++ b/results/test/ellipse/problem_1045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bc687683c6621300f8acd7ebd3803fe78eb6ffccf1d719cf921503567559e77
+size 217195
diff --git a/results/test/ellipse/problem_1046.png b/results/test/ellipse/problem_1046.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc08e572a4e66e7d7ca3dc1bb8c88db6bb00addf
--- /dev/null
+++ b/results/test/ellipse/problem_1046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c88e788602997f3e29fddaa52ea2780615b3e85e4e6c63372de81a3759babf4
+size 243847
diff --git a/results/test/ellipse/problem_1049.png b/results/test/ellipse/problem_1049.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee415cba2085609b8332acdab68a886eb55e6c0e
--- /dev/null
+++ b/results/test/ellipse/problem_1049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6248a9e2f21cfdbfb3d283eb88dab3d7b3e253c8a8505a3fb0cfe300faf366f
+size 223485
diff --git a/results/test/ellipse/problem_1051.png b/results/test/ellipse/problem_1051.png
new file mode 100644
index 0000000000000000000000000000000000000000..951f68fdb7dc632ada90a199685394928c2c1b07
--- /dev/null
+++ b/results/test/ellipse/problem_1051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98a06f342d7f0aa450be9a737abd09284499619425090a297e24a7b575b96c9d
+size 226038
diff --git a/results/test/ellipse/problem_1052.png b/results/test/ellipse/problem_1052.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6ecf943d9db792175c113619f19be543d113c46
--- /dev/null
+++ b/results/test/ellipse/problem_1052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08ba2a548a6fea5bfa4e3ae401ae506894baf75cfa77e0a31ef46d96317423c7
+size 190949
diff --git a/results/test/ellipse/problem_1056.png b/results/test/ellipse/problem_1056.png
new file mode 100644
index 0000000000000000000000000000000000000000..11979c6862d51adaa3deb7c2079325be463c92a2
--- /dev/null
+++ b/results/test/ellipse/problem_1056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87dcc854549db02ddd3661dd00b4cd5864f2489ea30ccf9470a4148355e9ba27
+size 216332
diff --git a/results/test/ellipse/problem_1057.png b/results/test/ellipse/problem_1057.png
new file mode 100644
index 0000000000000000000000000000000000000000..66c42d7ceb9f0305741176c43b1d300b5bb87c7e
--- /dev/null
+++ b/results/test/ellipse/problem_1057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdd4209339c923fd2596a4578a16d0f4877203c582921198d563d49eaf6633cd
+size 197811
diff --git a/results/test/ellipse/problem_1058.png b/results/test/ellipse/problem_1058.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8faa2d2d26c9376046c80f418f4d3ce05b42066
--- /dev/null
+++ b/results/test/ellipse/problem_1058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76b1a65962f4e6dc81b01e43ef0a8b1a928fb53f491283da09f34e89a3a174b6
+size 222028
diff --git a/results/test/ellipse/problem_1075.png b/results/test/ellipse/problem_1075.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3107ff62dc7ab77907eb3b51da9a21ed24224b5
--- /dev/null
+++ b/results/test/ellipse/problem_1075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28f909f6472d6c41a4bea8c189b4a3b45c09d41fb3a5a0f4671252ff88a1628c
+size 223724
diff --git a/results/test/ellipse/problem_1076.png b/results/test/ellipse/problem_1076.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac25b8e23cf2afad732ef26a6f82943cf2b82778
--- /dev/null
+++ b/results/test/ellipse/problem_1076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93bd89bc5125dc8a685bb5f539e6a29f45e3b48af6167a803c492d4f4501dc91
+size 231373
diff --git a/results/test/ellipse/problem_1081.png b/results/test/ellipse/problem_1081.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3524f5298d7fe94200c3dac0114540a777aa9db
--- /dev/null
+++ b/results/test/ellipse/problem_1081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c9717db11ad8c7392a9ce8327effb8344f9673a927621330de0aad0983e7bc0
+size 219477
diff --git a/results/test/ellipse/problem_1083.png b/results/test/ellipse/problem_1083.png
new file mode 100644
index 0000000000000000000000000000000000000000..559fe448b62afa1ac661d5224962cac12f652e1e
--- /dev/null
+++ b/results/test/ellipse/problem_1083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc9d9a4a307c0ad5ab8e55ba61584c3cffc5166b7990d9c5ad1b393fe140284e
+size 195339
diff --git a/results/test/ellipse/problem_1085.png b/results/test/ellipse/problem_1085.png
new file mode 100644
index 0000000000000000000000000000000000000000..62d2b9de08680bc33e4cb67f71b230b1da5b6263
--- /dev/null
+++ b/results/test/ellipse/problem_1085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6c68c1ddaff09c0e895f8482bf8f2c64663cb6f9411df0eee8056c9ebdbc5cf
+size 220806
diff --git a/results/test/ellipse/problem_1088.png b/results/test/ellipse/problem_1088.png
new file mode 100644
index 0000000000000000000000000000000000000000..769f8fae50fcb71085d61dd16d69518c2e7ad482
--- /dev/null
+++ b/results/test/ellipse/problem_1088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eadb3c1f7a0022fe0dfa74e93060b8eca087837ddf53f27477c123ba1fe6ec0b
+size 208076
diff --git a/results/test/ellipse/problem_1094.png b/results/test/ellipse/problem_1094.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5acddd76620e4837e077ad10d3daef8c39bca5e
--- /dev/null
+++ b/results/test/ellipse/problem_1094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90c3cf14dbfacee31cf525215897e316c9011d03fd6534c3c42dfbbfb4c93ac4
+size 237097
diff --git a/results/test/ellipse/problem_1102.png b/results/test/ellipse/problem_1102.png
new file mode 100644
index 0000000000000000000000000000000000000000..53824e4a419028327bd8caf1af706856c4657270
--- /dev/null
+++ b/results/test/ellipse/problem_1102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e105167a2526c0c1172e7d568fe238dfc6260f694cb9d2a6c2ae2ae772b947a
+size 194700
diff --git a/results/test/ellipse/problem_1121.png b/results/test/ellipse/problem_1121.png
new file mode 100644
index 0000000000000000000000000000000000000000..a27d3a92ed7d2b8def69ea92420d1650cd18c730
--- /dev/null
+++ b/results/test/ellipse/problem_1121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28ebb0142fe32f0fee538bc529a4c42c183af61378e618ce70c512406bb894b4
+size 229353
diff --git a/results/test/ellipse/problem_1124.png b/results/test/ellipse/problem_1124.png
new file mode 100644
index 0000000000000000000000000000000000000000..912452dcfa75de2a55f5830b8e96f73498d17e97
--- /dev/null
+++ b/results/test/ellipse/problem_1124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f18d05e6a3977b5f637a11ff1daf84571541447a9494f51e85af7befce4efb7a
+size 219994
diff --git a/results/test/ellipse/problem_1127.png b/results/test/ellipse/problem_1127.png
new file mode 100644
index 0000000000000000000000000000000000000000..edb2f122d767ebe6a8a04c3290cb89c76dcc291f
--- /dev/null
+++ b/results/test/ellipse/problem_1127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d71bc02493722edce65b3a83b0e3a501f073723f1d8f1fa8ed746b5d74ab64ec
+size 223657
diff --git a/results/test/ellipse/problem_1133.png b/results/test/ellipse/problem_1133.png
new file mode 100644
index 0000000000000000000000000000000000000000..72cb6435233032bcf8858a8a0d36851c60f4e0fd
--- /dev/null
+++ b/results/test/ellipse/problem_1133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87590a394d2520ec1db5b2985598c311e6c74d7d16dc858b9e08cbade67a38df
+size 213350
diff --git a/results/test/ellipse/problem_1135.png b/results/test/ellipse/problem_1135.png
new file mode 100644
index 0000000000000000000000000000000000000000..031693f3e623984d2a005d96039b8d83a2e0d158
--- /dev/null
+++ b/results/test/ellipse/problem_1135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54be3fa9e17c0264bf2978144c2c17c6f8b929c5a8fa4859b1c3766f862af5c4
+size 225948
diff --git a/results/test/ellipse/problem_1138.png b/results/test/ellipse/problem_1138.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd2b90fb701130b5446e7a93beba6867b7f0b461
--- /dev/null
+++ b/results/test/ellipse/problem_1138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ad763a3ab582c545b957f30ddd91ffc09f389c03ac39859d157aaf72132e472
+size 216962
diff --git a/results/test/ellipse/problem_1139.png b/results/test/ellipse/problem_1139.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8d5f3b75e74b1987cc99fb23139e384a9b6f5c3
--- /dev/null
+++ b/results/test/ellipse/problem_1139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9c9bad8b73a8d787574dc63d0a03b3e0860e02a1b9fcfb218da4291b37909cd
+size 217165
diff --git a/results/test/ellipse/problem_1143.png b/results/test/ellipse/problem_1143.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf21301cb363feb16e690340c8c5ca46dabbf1eb
--- /dev/null
+++ b/results/test/ellipse/problem_1143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62d3e88bfa4dafa42a7d8296986bd3e32b39b77e6ddeae814c1c4f7002875bc7
+size 215346
diff --git a/results/test/ellipse/problem_1144.png b/results/test/ellipse/problem_1144.png
new file mode 100644
index 0000000000000000000000000000000000000000..476d0999ae9aa0644961a5e3fb66eb00686adc80
--- /dev/null
+++ b/results/test/ellipse/problem_1144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e41a8e1ddf0dda748032b4f47317d6037fe15f60d09ced60fe4001e33d49bf1
+size 193828
diff --git a/results/test/ellipse/problem_1147.png b/results/test/ellipse/problem_1147.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9c08155fbf1bdc27dc1f3dfba3e16685ae67209
--- /dev/null
+++ b/results/test/ellipse/problem_1147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cf4a9576f969f62835808f5b0fa4ef1db708bc33990971e0b151498019234f2
+size 226307
diff --git a/results/test/ellipse/problem_1149.png b/results/test/ellipse/problem_1149.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6481b65e09452275d7d486d0402ec94d9dee3ee
--- /dev/null
+++ b/results/test/ellipse/problem_1149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a94e97706fb50d10f9e025177713a053bed0ce2f8520b5df4c81b586cfcf5722
+size 215400
diff --git a/results/test/ellipse/problem_1150.png b/results/test/ellipse/problem_1150.png
new file mode 100644
index 0000000000000000000000000000000000000000..7561e57838e7e18e8a5237c193bc0f017177059e
--- /dev/null
+++ b/results/test/ellipse/problem_1150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25f8e45b1ebb468ac767bd4b164601d499e633d40d66a9111559273adf575c4a
+size 219180
diff --git a/results/test/ellipse/problem_1162.png b/results/test/ellipse/problem_1162.png
new file mode 100644
index 0000000000000000000000000000000000000000..784ca1f6652b608692a5f49a4c58f251b009e2cc
--- /dev/null
+++ b/results/test/ellipse/problem_1162.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a02ea7d459afa0c942312c6caea1ee6312e890f55feff7155c3e3c9df504ce76
+size 218435
diff --git a/results/test/ellipse/problem_1169.png b/results/test/ellipse/problem_1169.png
new file mode 100644
index 0000000000000000000000000000000000000000..25c6b65f0e8dee0a1429dce6280363f99d6c0dc6
--- /dev/null
+++ b/results/test/ellipse/problem_1169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f60f8cb646eafddc51f9c0e9d57f20857fb5985a68aeab8380a4cd13cd9323c
+size 197288
diff --git a/results/test/ellipse/problem_1173.png b/results/test/ellipse/problem_1173.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0c2ebef2c5a69c1a923ed3b8e1bdae490baa2eb
--- /dev/null
+++ b/results/test/ellipse/problem_1173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16fdeca775793278b9689d0a5c116fca39bb4ba615d3ada4ed3ad4a32ca9ec38
+size 209281
diff --git a/results/test/ellipse/problem_1189.png b/results/test/ellipse/problem_1189.png
new file mode 100644
index 0000000000000000000000000000000000000000..28c9ba4280015d0069c047489276f57b9dc8e96a
--- /dev/null
+++ b/results/test/ellipse/problem_1189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7694770035a5c3a5c89ed4a89ebc64f2790cb7939f362a667ef4413e645dba79
+size 212427
diff --git a/results/test/ellipse/problem_1192.png b/results/test/ellipse/problem_1192.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b3f58ffb99e4193fc0d5119543505a8fb0d187b
--- /dev/null
+++ b/results/test/ellipse/problem_1192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1745a8abcb2b92be6f63fb3ddc3e56047352e02c4d13d14b480462c46b1c5ecc
+size 217466
diff --git a/results/test/ellipse/problem_1193.png b/results/test/ellipse/problem_1193.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a0e6d94a4570c7e3a7a16e9c447fab1286e8cc4
--- /dev/null
+++ b/results/test/ellipse/problem_1193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ed5bfb869cc4e19db7034dc113c503d2f7333544834cb96f334cf4ccbf7c53d
+size 219138
diff --git a/results/test/ellipse/problem_1216.png b/results/test/ellipse/problem_1216.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaa7c3a803a26d56edd7606e52b72ee29631fa92
--- /dev/null
+++ b/results/test/ellipse/problem_1216.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ace254cef0cc8cd5749a3e421746e53548897304789b076dcffabcad49d5888b
+size 189749
diff --git a/results/test/ellipse/problem_1217.png b/results/test/ellipse/problem_1217.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4a112cbef85c76835a793dcc8d60f5be99ac55f
--- /dev/null
+++ b/results/test/ellipse/problem_1217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c005c4ea3ef3bec325ee7ac25e4cca706bee78944c60c7c992dca9312074ff2
+size 190104
diff --git a/results/test/ellipse/problem_1218.png b/results/test/ellipse/problem_1218.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1eadec0660a94b034dd2ef9b1ec9f07ba90079f
--- /dev/null
+++ b/results/test/ellipse/problem_1218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbc44d52bf449ead81bf7669b506a39a516ad13a05bb8f548eaf683a56e58c8f
+size 215350
diff --git a/results/test/ellipse/problem_1222.png b/results/test/ellipse/problem_1222.png
new file mode 100644
index 0000000000000000000000000000000000000000..b25439593665251096fafe776fe11a1e867fb7b0
--- /dev/null
+++ b/results/test/ellipse/problem_1222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13aa6117ae845a617f133a4ac064aec714959a895d65af7ab4d530fffbcece73
+size 212935
diff --git a/results/test/ellipse/problem_1225.png b/results/test/ellipse/problem_1225.png
new file mode 100644
index 0000000000000000000000000000000000000000..245374c0f5733cddd82190a21a976118b36f379d
--- /dev/null
+++ b/results/test/ellipse/problem_1225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c54c9851c5fac8d56a4963ecf3676303241a5d82931c1c487d8b05d81c5ba36
+size 230826
diff --git a/results/test/ellipse/problem_1229.png b/results/test/ellipse/problem_1229.png
new file mode 100644
index 0000000000000000000000000000000000000000..02fe1b7fc017307cb58d250fb883b8327de79bfb
--- /dev/null
+++ b/results/test/ellipse/problem_1229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:310dfeda9b21b5812e1603b264459207c52c0e40fe1b11f03b6b07d2fbd62135
+size 219721
diff --git a/results/test/ellipse/problem_1231.png b/results/test/ellipse/problem_1231.png
new file mode 100644
index 0000000000000000000000000000000000000000..73471bf0b9b56d54081ab6ac417f210040d0ee37
--- /dev/null
+++ b/results/test/ellipse/problem_1231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d84b963fe961e8d8498de740632c97cdd5e038b8bc693df5850d9a3c437a8b3b
+size 231900
diff --git a/results/test/ellipse/problem_1232.png b/results/test/ellipse/problem_1232.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b7b30a96ae5058f68bc6a923ce593672c5341c8
--- /dev/null
+++ b/results/test/ellipse/problem_1232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0ce7bc6ea2847e2e5bf96559e7cc5c646c6c74641c6a0fb01fa2329aa466907
+size 208504
diff --git a/results/test/ellipse/problem_1233.png b/results/test/ellipse/problem_1233.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba2d2586a84b338affa70704efc9e1e045e99343
--- /dev/null
+++ b/results/test/ellipse/problem_1233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98477af076d3ac1cabd310659c8d2af8f8531188098af33332748277e2bd9b5f
+size 215691
diff --git a/results/test/ellipse/problem_1236.png b/results/test/ellipse/problem_1236.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8f95fb293b5fedb1e7a905b712d4e725edbd77e
--- /dev/null
+++ b/results/test/ellipse/problem_1236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93b94e7a18963864cd71bb35f6bd562cb77e723bde606a243cb7d984d0f53eae
+size 191786
diff --git a/results/test/ellipse/problem_1240.png b/results/test/ellipse/problem_1240.png
new file mode 100644
index 0000000000000000000000000000000000000000..eae6b3f53d35b64db3a1a754b4046863634cba22
--- /dev/null
+++ b/results/test/ellipse/problem_1240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e49414930c2933a32a114e2505ec4c1e5ef85dda5e440e16ae16cdf56422aa7
+size 211238
diff --git a/results/test/ellipse/problem_1241.png b/results/test/ellipse/problem_1241.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2f05c45ec631df10cef500fe6fc8f311a5ee786
--- /dev/null
+++ b/results/test/ellipse/problem_1241.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddc7245c91fef2feba9daa03cf7961589335f1fab8c21c7cf158c595af4f8860
+size 250631
diff --git a/results/test/ellipse/problem_1243.png b/results/test/ellipse/problem_1243.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9f21be4898e328a43ce8c60e0ea6cf6a144845b
--- /dev/null
+++ b/results/test/ellipse/problem_1243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69938a19eaa70e0a8e70c409ceedc04f70519342ed8fcab9c6893ba586014685
+size 212703
diff --git a/results/test/ellipse/problem_1245.png b/results/test/ellipse/problem_1245.png
new file mode 100644
index 0000000000000000000000000000000000000000..45aade5f94f0b60e1586c090653542f84a118fb7
--- /dev/null
+++ b/results/test/ellipse/problem_1245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c13afb32fd87e8c45d189897a1f8de206975fb57423aad4fcab1a70e12c40660
+size 221302
diff --git a/results/test/ellipse/problem_1246.png b/results/test/ellipse/problem_1246.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b8bd4beba6aaf96f4d40b70e8444a0b01009da3
--- /dev/null
+++ b/results/test/ellipse/problem_1246.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:004de4a2e7c5c7f5e3e99896f06a5ab7b063536d3fbc266ced905ff9a14297d1
+size 223694
diff --git a/results/test/ellipse/problem_1252.png b/results/test/ellipse/problem_1252.png
new file mode 100644
index 0000000000000000000000000000000000000000..9091c28560c965ea2e771ed6df16f7acf913142c
--- /dev/null
+++ b/results/test/ellipse/problem_1252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:154b3ec2f3e47af2c6ffe3f150c2ba93c5341a57750527241d46e50baeb77ef3
+size 233015
diff --git a/results/test/ellipse/problem_1253.png b/results/test/ellipse/problem_1253.png
new file mode 100644
index 0000000000000000000000000000000000000000..91daa163e159a6009dac26b1545b2b806c31474f
--- /dev/null
+++ b/results/test/ellipse/problem_1253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f08e213a618809bb6b4ad8c2739f6289a921b4b6858104fab7c771fc40101e07
+size 192025
diff --git a/results/test/ellipse/problem_1255.png b/results/test/ellipse/problem_1255.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b506ec43655f06f3edf7d3f1d894f446a769f21
--- /dev/null
+++ b/results/test/ellipse/problem_1255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:358c3e946cb944faae573196f78e7a215b32661fb313851fba2d79fc141964fa
+size 188220
diff --git a/results/test/ellipse/problem_1260.png b/results/test/ellipse/problem_1260.png
new file mode 100644
index 0000000000000000000000000000000000000000..7dc09101129e33aff9eb047d8d04f8bc3feaf317
--- /dev/null
+++ b/results/test/ellipse/problem_1260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97cbfc8a7eeb0e41353e655611b0f28b99f66c86c21d3ed6a31686280f3ea017
+size 193787
diff --git a/results/test/ellipse/problem_1261.png b/results/test/ellipse/problem_1261.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e3f92438fbe8a93cfa235814e96fa0d3907c240
--- /dev/null
+++ b/results/test/ellipse/problem_1261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:513cef77313d2c8d1140239c653e7046180f3252215f2b84a60f81768362bb2d
+size 222421
diff --git a/results/test/ellipse/problem_1266.png b/results/test/ellipse/problem_1266.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e407e351f81c3cbb34787355a52f83ff318eb17
--- /dev/null
+++ b/results/test/ellipse/problem_1266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38fc64ee38adcab0a9ffa331b71eea4314ab5fc3118d56822ec27a5415531557
+size 210327
diff --git a/results/test/ellipse/problem_1270.png b/results/test/ellipse/problem_1270.png
new file mode 100644
index 0000000000000000000000000000000000000000..a430587acb8fcd5014d920a51b2051b453be89cd
--- /dev/null
+++ b/results/test/ellipse/problem_1270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d45b1ec2fb28ae64f7e65648da45cbcaa1b9065dba5a61b52a53023f22e8962
+size 213185
diff --git a/results/test/ellipse/problem_1274.png b/results/test/ellipse/problem_1274.png
new file mode 100644
index 0000000000000000000000000000000000000000..7284bb5eaa3bc760ce9dd5f1ca23a7f159b342f1
--- /dev/null
+++ b/results/test/ellipse/problem_1274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4c44a534945a81d983d867a9978b714066eb43bbd1c543b2355d8f9dba7969e
+size 228552
diff --git a/results/test/ellipse/problem_1276.png b/results/test/ellipse/problem_1276.png
new file mode 100644
index 0000000000000000000000000000000000000000..69d84e00cf1162e84ca5ebba04c1d227f0107317
--- /dev/null
+++ b/results/test/ellipse/problem_1276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ba9482aab960076960cd2c6542e3abcc698408407841d0a0da0f5d5878b3d77
+size 213936
diff --git a/results/test/ellipse/problem_1281.png b/results/test/ellipse/problem_1281.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d4239f268155307535ed9aa287ca67bd0e1a559
--- /dev/null
+++ b/results/test/ellipse/problem_1281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d96677d3feeac3d725fd61afb04ecc0381ff2647f5822871586b4a0015f718fc
+size 186690
diff --git a/results/test/ellipse/problem_1284.png b/results/test/ellipse/problem_1284.png
new file mode 100644
index 0000000000000000000000000000000000000000..2dda6edcab1e74e4177b6a06da924c2d0ead6899
--- /dev/null
+++ b/results/test/ellipse/problem_1284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a2185d0c70b01eed0e8bae296d04b1ac750dcfa4909ef33c97d5234c275370f
+size 231205
diff --git a/results/test/ellipse/problem_1287.png b/results/test/ellipse/problem_1287.png
new file mode 100644
index 0000000000000000000000000000000000000000..4867605470c3e290524e6731bd48e28f0c65e940
--- /dev/null
+++ b/results/test/ellipse/problem_1287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db4d815fc4168b8f2a5046588a98a60bbd019e2b25b53fb518dc31e9f383a738
+size 203575
diff --git a/results/test/ellipse/problem_1292.png b/results/test/ellipse/problem_1292.png
new file mode 100644
index 0000000000000000000000000000000000000000..85347b328788a0cdb84207c959cac94d89fae7f9
--- /dev/null
+++ b/results/test/ellipse/problem_1292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6faa73877e5ab865470b4d2509ee5989c2dc91d014caeddfb9284b1205098e7c
+size 191290
diff --git a/results/test/ellipse/problem_1299.png b/results/test/ellipse/problem_1299.png
new file mode 100644
index 0000000000000000000000000000000000000000..aad4e36cb513e61789b6a25001a8fb22a661d97d
--- /dev/null
+++ b/results/test/ellipse/problem_1299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:941df4858d7a3aa13c0e2ebc78e7ef3a4b04cc39183efafc1922c5e4b32be0bf
+size 224100
diff --git a/results/test/ellipse/problem_1303.png b/results/test/ellipse/problem_1303.png
new file mode 100644
index 0000000000000000000000000000000000000000..82432234c017f71956542616c82689bbddd938ee
--- /dev/null
+++ b/results/test/ellipse/problem_1303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f644d90be00a96a96dd4d2915e3ba320abea1d75859c68266f11b4759b52b5b
+size 216542
diff --git a/results/test/ellipse/problem_1304.png b/results/test/ellipse/problem_1304.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f934ab5e2596ecdb336cfb8be35ec6f1935d1cc
--- /dev/null
+++ b/results/test/ellipse/problem_1304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7b9fcd646ebc98e72def56cd9b592a32f49701b353ee6143cf75e930e35c0f4
+size 243375
diff --git a/results/test/ellipse/problem_1315.png b/results/test/ellipse/problem_1315.png
new file mode 100644
index 0000000000000000000000000000000000000000..62942926d97c7ff22ea6bffa3bdca455e60fabc0
--- /dev/null
+++ b/results/test/ellipse/problem_1315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae222300e6e6e2f5af7ab9c83fd99cce987430d6411df3f9517b25591f3d8b4c
+size 235111
diff --git a/results/test/ellipse/problem_1316.png b/results/test/ellipse/problem_1316.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f32a4513ecb1dcdce22e3040d493fd7df6c8c4f
--- /dev/null
+++ b/results/test/ellipse/problem_1316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1596d2c422a948a02cc2b2859271674843aee9e6c981fd7ea478d8f208ba8a5
+size 214400
diff --git a/results/test/ellipse/problem_1317.png b/results/test/ellipse/problem_1317.png
new file mode 100644
index 0000000000000000000000000000000000000000..94b618fc25f0f2afa697ebc158d08a920a45da60
--- /dev/null
+++ b/results/test/ellipse/problem_1317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0877b1b8b11f24a1be88118668df84351ee990ec74a996965e9252903ebc7bfa
+size 211756
diff --git a/results/test/ellipse/problem_1322.png b/results/test/ellipse/problem_1322.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a6efdb48d76b5b36b32db6fe43cc0ebfb59c3a2
--- /dev/null
+++ b/results/test/ellipse/problem_1322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e56250dbed0e68e5eae31f37dd443a7b5c0a0319b8808b3b476878b782d8caf6
+size 183963
diff --git a/results/test/ellipse/problem_1323.png b/results/test/ellipse/problem_1323.png
new file mode 100644
index 0000000000000000000000000000000000000000..5681f7d0afed561ee26652915826c14d0b7c2422
--- /dev/null
+++ b/results/test/ellipse/problem_1323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38b8ff9643b480838bf9e5ad8da178e4483a214ee644fd11af94a281c8999891
+size 230347
diff --git a/results/test/ellipse/problem_1325.png b/results/test/ellipse/problem_1325.png
new file mode 100644
index 0000000000000000000000000000000000000000..08b111f052230da6a5538fe73482b412d9470db8
--- /dev/null
+++ b/results/test/ellipse/problem_1325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51d39db20ce684c7151a51265c601dd228885ae24d9ec5ff3b6accad51e4c177
+size 213642
diff --git a/results/test/ellipse/problem_1330.png b/results/test/ellipse/problem_1330.png
new file mode 100644
index 0000000000000000000000000000000000000000..14163669422863bb187c15de18f60e5097702ee3
--- /dev/null
+++ b/results/test/ellipse/problem_1330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a152c3d80574962d57639251380303f17551cd066ccb15b1d0feefc6a2f837a7
+size 218380
diff --git a/results/test/ellipse/problem_1343.png b/results/test/ellipse/problem_1343.png
new file mode 100644
index 0000000000000000000000000000000000000000..74e1164126be7666c7cee60ed4e7512af5f044ec
--- /dev/null
+++ b/results/test/ellipse/problem_1343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:547c4117814560c027300b739b09b887950bf405b172ed05496481a914414009
+size 222700
diff --git a/results/test/ellipse/problem_1345.png b/results/test/ellipse/problem_1345.png
new file mode 100644
index 0000000000000000000000000000000000000000..108394abebdff4ef5f113e145d73fdb51f36810c
--- /dev/null
+++ b/results/test/ellipse/problem_1345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff412c71490874af29b8b9a7b8316874e3a8bf2046a7c0eb7323bf197ee020dd
+size 191299
diff --git a/results/test/ellipse/problem_1348.png b/results/test/ellipse/problem_1348.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a4a05ff110d0e29809e5dd8491f49d76489b8d1
--- /dev/null
+++ b/results/test/ellipse/problem_1348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a7e6da6d798f2a1d3675db865a28fa93204607de6d3295ed793034129129fde
+size 195200
diff --git a/results/test/ellipse/problem_1356.png b/results/test/ellipse/problem_1356.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3d6a5dc55500babc3753d429958ee1980b53224
--- /dev/null
+++ b/results/test/ellipse/problem_1356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:814059cf2692b9402e169ad198e788901749f4d16492f63d4ad8033566c491ac
+size 193775
diff --git a/results/test/ellipse/problem_1366.png b/results/test/ellipse/problem_1366.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c7f13a2ec68dcb0f257eff1e302f0b315b16873
--- /dev/null
+++ b/results/test/ellipse/problem_1366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1803b587bd018e80ec7984a844323728b5e6544d727775c403b2f205b28eb631
+size 225443
diff --git a/results/test/ellipse/problem_1368.png b/results/test/ellipse/problem_1368.png
new file mode 100644
index 0000000000000000000000000000000000000000..691aa65fbdf8723d59d1c16c1ad3b0fc1e901078
--- /dev/null
+++ b/results/test/ellipse/problem_1368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f26910e3e6196a8aff39a85276883884f2eded4c4b62732cfb054c648cfcaa30
+size 234506
diff --git a/results/test/ellipse/problem_1374.png b/results/test/ellipse/problem_1374.png
new file mode 100644
index 0000000000000000000000000000000000000000..353a4cafd0fa5d9fc71d35b124694528db7173cf
--- /dev/null
+++ b/results/test/ellipse/problem_1374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16b2b8dbc9eeec91a2469e2b79922d7af585b6d6a185faae5922ca451003a698
+size 213409
diff --git a/results/test/ellipse/problem_1379.png b/results/test/ellipse/problem_1379.png
new file mode 100644
index 0000000000000000000000000000000000000000..919e5d12c3c48946d29695a0cfb8919e6762d623
--- /dev/null
+++ b/results/test/ellipse/problem_1379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58c1e0f7038a08faded42eec4a9551114c2bbb8868b677d5cca0780fb0cb1409
+size 219627
diff --git a/results/test/ellipse/problem_1382.png b/results/test/ellipse/problem_1382.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1960d912cb9567dae8470fcf11861697538bd23
--- /dev/null
+++ b/results/test/ellipse/problem_1382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec4daa797aacd3508efedb43c91ba3232743484f3b530fc32b9506d39eb693fb
+size 198080
diff --git a/results/test/ellipse/problem_1385.png b/results/test/ellipse/problem_1385.png
new file mode 100644
index 0000000000000000000000000000000000000000..a46968e56d6ae9f96c77700910525e2866f131f9
--- /dev/null
+++ b/results/test/ellipse/problem_1385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:656b5250545152fc10932a1eb5ef2dbe877efc23297f78fa8a28954a87be3017
+size 228060
diff --git a/results/test/ellipse/problem_1386.png b/results/test/ellipse/problem_1386.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c25e59f0bf617d651f52e9af25d35a50d6abe6a
--- /dev/null
+++ b/results/test/ellipse/problem_1386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3938a0c769dd75b83e5a2e3e4f1d4c59d981cd6397aa5b0efbadf4486d8e6814
+size 232153
diff --git a/results/test/ellipse/problem_1387.png b/results/test/ellipse/problem_1387.png
new file mode 100644
index 0000000000000000000000000000000000000000..85591fd3e8d6b1456bc2e148e0406bb23f51a3e0
--- /dev/null
+++ b/results/test/ellipse/problem_1387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b1f9228fde757b588f31ee90d3ee959a95ba07d536220f518dacb867ad40f42
+size 183864
diff --git a/results/test/ellipse/problem_1393.png b/results/test/ellipse/problem_1393.png
new file mode 100644
index 0000000000000000000000000000000000000000..95efdcf52f6a8e3ad73493af96588bc85905d0a8
--- /dev/null
+++ b/results/test/ellipse/problem_1393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa728a6ec8cf94b32ad6d5cc44f6dfe33eb1d9a3e9b8a16df1c96ae853c5ea9c
+size 214742
diff --git a/results/test/ellipse/problem_1397.png b/results/test/ellipse/problem_1397.png
new file mode 100644
index 0000000000000000000000000000000000000000..cdb17c6fc1da3f8264087f6ca1d9d5e742c5a549
--- /dev/null
+++ b/results/test/ellipse/problem_1397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:149ad1655ea3a2f16601bc145262390655f30f75e29e4778b75961c0867c7909
+size 225623
diff --git a/results/test/ellipse/problem_1398.png b/results/test/ellipse/problem_1398.png
new file mode 100644
index 0000000000000000000000000000000000000000..1604621496e7d71f16e96f4a20f1e4b4e44e1c64
--- /dev/null
+++ b/results/test/ellipse/problem_1398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea27871250ad88f3a705b39e3c610b2c6d8f29da00bbe61166360190ad9df5b2
+size 193132
diff --git a/results/test/ellipse/problem_1401.png b/results/test/ellipse/problem_1401.png
new file mode 100644
index 0000000000000000000000000000000000000000..890000f6b32293d1bdbdbd38c15443907d486352
--- /dev/null
+++ b/results/test/ellipse/problem_1401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:735d762c7fd99cd7b61db90e58ef35c8efd1a8af04f0bd03e36327cb8ab70d40
+size 220946
diff --git a/results/test/ellipse/problem_1403.png b/results/test/ellipse/problem_1403.png
new file mode 100644
index 0000000000000000000000000000000000000000..acf70c3e5f62f400bd07d21ab4339699d93a3de6
--- /dev/null
+++ b/results/test/ellipse/problem_1403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a8500f2917942669fe10da0f7182c6d41a93484c3947b5f130a0654643387bc
+size 226862
diff --git a/results/test/ellipse/problem_1404.png b/results/test/ellipse/problem_1404.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2c7bea380e928d5c16b600757610cf016fa63f3
--- /dev/null
+++ b/results/test/ellipse/problem_1404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:496ec24dec98dadd7ff68f0558fc53a25ac4ed8a82ac2c800f86f48b59571676
+size 229281
diff --git a/results/test/ellipse/problem_1405.png b/results/test/ellipse/problem_1405.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f025d6ad56da8887c9fb2ed667af6b7107d7e20
--- /dev/null
+++ b/results/test/ellipse/problem_1405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e825b1bba24a5cafe072c6271cbd9508f3d3e4775ef9c84e9cb976c9832dd9dc
+size 236645
diff --git a/results/test/ellipse/problem_1410.png b/results/test/ellipse/problem_1410.png
new file mode 100644
index 0000000000000000000000000000000000000000..1176fe6b940e96cb60327cf7c7b3db79450bdd27
--- /dev/null
+++ b/results/test/ellipse/problem_1410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9c563d3a942561474424176c4c7d53f55a21e85724e99f130087e171ff3a45f
+size 205981
diff --git a/results/test/ellipse/problem_1414.png b/results/test/ellipse/problem_1414.png
new file mode 100644
index 0000000000000000000000000000000000000000..c65e0ac9a28917fe02e0ed5f6bde8324771b382d
--- /dev/null
+++ b/results/test/ellipse/problem_1414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b547fc6a24b4b037f5c7e65f0a2ea1452f876b84b33d3fd3f8ad21d420d7dfd1
+size 220828
diff --git a/results/test/ellipse/problem_1416.png b/results/test/ellipse/problem_1416.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2d81b6e39e6ccacfb128de80b48d951d323fdee
--- /dev/null
+++ b/results/test/ellipse/problem_1416.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85d7db3324770ad3d6ab6521c0c0faf9ec6b89f370d86a10b6793d105f3d5af5
+size 225954
diff --git a/results/test/ellipse/problem_1417.png b/results/test/ellipse/problem_1417.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5e85958aa973e06c817a70c56553c0ba3815d59
--- /dev/null
+++ b/results/test/ellipse/problem_1417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f588e915ba284db63227700d4aa6e56b763dfad2133a62a4f089746c3b88b6b4
+size 226938
diff --git a/results/test/ellipse/problem_1422.png b/results/test/ellipse/problem_1422.png
new file mode 100644
index 0000000000000000000000000000000000000000..726d03ae0186c4845eb972e101ccc4905592aa2d
--- /dev/null
+++ b/results/test/ellipse/problem_1422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2d55dfcc5e512fc108f8de4a1788a489c2780ef8bf40e70f7ec065e53453c62
+size 212501
diff --git a/results/test/ellipse/problem_1425.png b/results/test/ellipse/problem_1425.png
new file mode 100644
index 0000000000000000000000000000000000000000..55bbd369e7ba6953e4a83784586dfe428fb9820f
--- /dev/null
+++ b/results/test/ellipse/problem_1425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71e328c2eb9e1b9576db401724664f2d0874c81737ce573bd4c76ad0acee8663
+size 226238
diff --git a/results/test/ellipse/problem_1428.png b/results/test/ellipse/problem_1428.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f922d93cf5abcb8c5f09cff557df5b479adaef3
--- /dev/null
+++ b/results/test/ellipse/problem_1428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:543babab4a06dee64b6661e1f65632943138cb757522638bc827953298cc086a
+size 185735
diff --git a/results/test/ellipse/problem_1429.png b/results/test/ellipse/problem_1429.png
new file mode 100644
index 0000000000000000000000000000000000000000..83a4c15086b3e0ef2e83bfbe8386d7b99713bfe7
--- /dev/null
+++ b/results/test/ellipse/problem_1429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:219b5d14111b3093a704b01a95c8b9e1ae515fe7f24fcfa28d6b3c8a2f92b2ec
+size 224380
diff --git a/results/test/ellipse/problem_1430.png b/results/test/ellipse/problem_1430.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a8597164490f024659daba8ceed52c710a21262
--- /dev/null
+++ b/results/test/ellipse/problem_1430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7633d914c65b07e44bee0642a646dd083b1238875d45bb4ce12368936b8928e
+size 223244
diff --git a/results/test/ellipse/problem_1434.png b/results/test/ellipse/problem_1434.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca3c2aedc2abdbb5c8750b392766ca9ed6396f0c
--- /dev/null
+++ b/results/test/ellipse/problem_1434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69947d4cc6f586bf2be191d6281a53133c702474ea0cba9c04f2262ef730488d
+size 209284
diff --git a/results/test/ellipse/problem_1436.png b/results/test/ellipse/problem_1436.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b46c04ed2eb878eba94dd380e1121ff2a6c1b2a
--- /dev/null
+++ b/results/test/ellipse/problem_1436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acf0c574757d090aa1fb0298fc2bee5034d3ae0a291c257f637393368f7d95a9
+size 219568
diff --git a/results/test/ellipse/problem_1437.png b/results/test/ellipse/problem_1437.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a0e938a903ab37620b0b52894fa60c6a66bdcd2
--- /dev/null
+++ b/results/test/ellipse/problem_1437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64bb6b69ce0e42e9d32448532e50ea0b167b08e97f9305c67d59c149ee977567
+size 201686
diff --git a/results/test/ellipse/problem_1439.png b/results/test/ellipse/problem_1439.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad7f0484f04c592193e6722988ce08570abf4d0f
--- /dev/null
+++ b/results/test/ellipse/problem_1439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29589b12a50e37ec52c275140a1e97ddc8e2c8dff1b157839b193471290f8898
+size 232302
diff --git a/results/test/ellipse/problem_1443.png b/results/test/ellipse/problem_1443.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cda06ed9aa71a7acf8533e86e7040b20a7870fe
--- /dev/null
+++ b/results/test/ellipse/problem_1443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb20a0eebf43c047312fed6403a0e51a137140b5ae28bf539d8e667da2b3082e
+size 226100
diff --git a/results/test/ellipse/problem_1447.png b/results/test/ellipse/problem_1447.png
new file mode 100644
index 0000000000000000000000000000000000000000..b05746313abaa2c3290483167b3508224dda2e14
--- /dev/null
+++ b/results/test/ellipse/problem_1447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e599c5af9b5e89b44f2434942d2078ee1cb8ce6d4f95936a1ffcbe6d7efed590
+size 230590
diff --git a/results/test/ellipse/problem_1452.png b/results/test/ellipse/problem_1452.png
new file mode 100644
index 0000000000000000000000000000000000000000..6129c2b5d0ec4479d6f3eb425e5fefa0c4ee8fcb
--- /dev/null
+++ b/results/test/ellipse/problem_1452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c7681b3e9be52ba4319bf5256072f8ba43afedd7a394b2785d279195184839a
+size 216376
diff --git a/results/test/ellipse/problem_1453.png b/results/test/ellipse/problem_1453.png
new file mode 100644
index 0000000000000000000000000000000000000000..3df94c1350421e6a6e95a0909bd152607d328e12
--- /dev/null
+++ b/results/test/ellipse/problem_1453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:565e011f30d7d53c0b80c0139e79417f353df8bfa3b116478efb8c238330ad09
+size 209672
diff --git a/results/test/ellipse/problem_1458.png b/results/test/ellipse/problem_1458.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dacce5cda5a4faba647fe2dad0439053972bbbc
--- /dev/null
+++ b/results/test/ellipse/problem_1458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:888b4ccad6dd4cb231a99cc4c752a82af544494fbd48da6bc0b4454ef6e82bdd
+size 225278
diff --git a/results/test/ellipse/problem_1460.png b/results/test/ellipse/problem_1460.png
new file mode 100644
index 0000000000000000000000000000000000000000..873f8acc5c3df8da96591180d52f7e75a5dd6458
--- /dev/null
+++ b/results/test/ellipse/problem_1460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cb6b6d841430cf5b1c7e22c2154a86e68d19e87a0a4a5bc38b8007158da4dd9
+size 231921
diff --git a/results/test/ellipse/problem_1463.png b/results/test/ellipse/problem_1463.png
new file mode 100644
index 0000000000000000000000000000000000000000..40c26241911d2f4af90757898b557b26745e0137
--- /dev/null
+++ b/results/test/ellipse/problem_1463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3cb00906dd04812fb713d34dd168121dddba3d7cfae19a9e2eaba800700553a
+size 222573
diff --git a/results/test/ellipse/problem_1464.png b/results/test/ellipse/problem_1464.png
new file mode 100644
index 0000000000000000000000000000000000000000..e02af7265fa895e96c73bc6da0c7118168390c74
--- /dev/null
+++ b/results/test/ellipse/problem_1464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bfe9f80c5ba195f91d2f603af0f9473981a378ff63c16f8f0b7ef966effab49
+size 220877
diff --git a/results/test/ellipse/problem_1468.png b/results/test/ellipse/problem_1468.png
new file mode 100644
index 0000000000000000000000000000000000000000..873d23d39b8635fe7c6f7c3c99c0499fac403ad3
--- /dev/null
+++ b/results/test/ellipse/problem_1468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fe389f3dd33e60a58b06cb7affc82e820703fbd26086bafa6433069b295c2ef
+size 234828
diff --git a/results/test/ellipse/problem_1470.png b/results/test/ellipse/problem_1470.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab4887f69accc296c3158979fc610ae8a7361b98
--- /dev/null
+++ b/results/test/ellipse/problem_1470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:287df74465d8a4134fd79b59424b91dc2f9f9b0285fbde4e0065c8a4a279dad5
+size 210968
diff --git a/results/test/ellipse/problem_1474.png b/results/test/ellipse/problem_1474.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d58a62af0239882181d3ff5f8c506b84ced98cc
--- /dev/null
+++ b/results/test/ellipse/problem_1474.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c5305a3e3d45a26fc0a9809cf54f0ba6719f286ae86e5c7874e62baec452c97
+size 228586
diff --git a/results/test/ellipse/problem_1476.png b/results/test/ellipse/problem_1476.png
new file mode 100644
index 0000000000000000000000000000000000000000..54e73d9cca1da90a5df5cee5558d83633553d576
--- /dev/null
+++ b/results/test/ellipse/problem_1476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6608a5541972c1ba1978959721166659a7ed6c67ffc1d160b165f0dec28f19d6
+size 215108
diff --git a/results/test/ellipse/problem_1481.png b/results/test/ellipse/problem_1481.png
new file mode 100644
index 0000000000000000000000000000000000000000..84cb3d64d8700937d70847f0ee51a4d2f6f1b29a
--- /dev/null
+++ b/results/test/ellipse/problem_1481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fbdf0c8af338684ba5c07d61c8de3a34de763644e7dd986d1942354c4c78a0d
+size 222922
diff --git a/results/test/ellipse/problem_1483.png b/results/test/ellipse/problem_1483.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa2f1ba1f8107d563555b79ba9205c685748076c
--- /dev/null
+++ b/results/test/ellipse/problem_1483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9e0f49ec7cee186bb49cc958cc733bd7d2c3f6b6b83fff49d03e50a186cf37b
+size 220512
diff --git a/results/test/ellipse/problem_1488.png b/results/test/ellipse/problem_1488.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c3e5b0e231ac0af670c19e08ec11a6408609b6e
--- /dev/null
+++ b/results/test/ellipse/problem_1488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d4f987a33eb17d2ea8fd6f88d0c4b2a41878ec610951e875f7f7070c537c4ee
+size 224758
diff --git a/results/test/ellipse/problem_1490.png b/results/test/ellipse/problem_1490.png
new file mode 100644
index 0000000000000000000000000000000000000000..524fa27025d9f3fc33cc16181342980b118c0499
--- /dev/null
+++ b/results/test/ellipse/problem_1490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa4c180deead57beeb440a1f4cd1cb9f49bf7d8f7be791020c6781115efe8336
+size 216181
diff --git a/results/test/ellipse/problem_1491.png b/results/test/ellipse/problem_1491.png
new file mode 100644
index 0000000000000000000000000000000000000000..49601114cacf9ad1e37cc97ad87754f98ba883a8
--- /dev/null
+++ b/results/test/ellipse/problem_1491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c9de8ebf8a476e6048dab38f50435f85c98590837df372ecbe9c87cedd92156
+size 186607
diff --git a/results/test/ellipse/problem_1502.png b/results/test/ellipse/problem_1502.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ed97b8002868beed1aa13d79987c6ed84945226
--- /dev/null
+++ b/results/test/ellipse/problem_1502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc6451f6a7ddbeac1c8bec22815f41924a9ad1573627de821fe7754010e54642
+size 228848
diff --git a/results/test/ellipse/problem_1507.png b/results/test/ellipse/problem_1507.png
new file mode 100644
index 0000000000000000000000000000000000000000..fbb9643cf2a216807b251a434c16f5e6d91a9745
--- /dev/null
+++ b/results/test/ellipse/problem_1507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26963b1222a61187c7cf4ef0b1a6da11efb3efb4d32eb148b2e7203895b161d9
+size 202819
diff --git a/results/test/ellipse/problem_1508.png b/results/test/ellipse/problem_1508.png
new file mode 100644
index 0000000000000000000000000000000000000000..b604899f55088a857d49fe0848d4a05516bb24e5
--- /dev/null
+++ b/results/test/ellipse/problem_1508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29acd80264a46c16e7a260723bb024377d72e479d19ae1b6a84c61ac951aa8d7
+size 188292
diff --git a/results/test/ellipse/problem_1520.png b/results/test/ellipse/problem_1520.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf4a8230bee53d1bac7f416fa75d8c14bc58f51d
--- /dev/null
+++ b/results/test/ellipse/problem_1520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22ff2c1bf767d9c1ba66f179fe4f491c4ef399b4116fe2275dac3c762713327f
+size 221213
diff --git a/results/test/ellipse/problem_1525.png b/results/test/ellipse/problem_1525.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ac5b1c2088dae9f7ebde5d0a56a62ca26f83a80
--- /dev/null
+++ b/results/test/ellipse/problem_1525.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fa4ced4eff45176acb4e07ce621f9f3826e305a724314494a255b0fe5be05ca
+size 232238
diff --git a/results/test/ellipse/problem_1529.png b/results/test/ellipse/problem_1529.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f6cdfc968ff2519d01585c7424a29be30b6ec79
--- /dev/null
+++ b/results/test/ellipse/problem_1529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8e4228f6f3708a24a56e902001f53b2eb90332d47cd41e306035454b899cd13
+size 233838
diff --git a/results/test/ellipse/problem_1531.png b/results/test/ellipse/problem_1531.png
new file mode 100644
index 0000000000000000000000000000000000000000..acf5f7c8410550277ca8397a114098df7e325053
--- /dev/null
+++ b/results/test/ellipse/problem_1531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0bd5314c7ddab1c5689b65f1f2b39bb6f053dff4bbb449a73f6be24eaeb1260
+size 214635
diff --git a/results/test/ellipse/problem_1534.png b/results/test/ellipse/problem_1534.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec40c3b049c0b2cb8d5fc71e05542b8c226613b2
--- /dev/null
+++ b/results/test/ellipse/problem_1534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0ccb55eadd7350cb164fc03ee17ad4e38655c7ebd73e32f60bfe8ede07c9d7f
+size 227459
diff --git a/results/test/ellipse/problem_1535.png b/results/test/ellipse/problem_1535.png
new file mode 100644
index 0000000000000000000000000000000000000000..6234770d8fde35dbeb4438f5a3623404e0f70a67
--- /dev/null
+++ b/results/test/ellipse/problem_1535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69580f4e0f91b74f9777eb65f79b84ef209a5e0500dff8d5e4d44d1d7ea272a9
+size 231157
diff --git a/results/test/ellipse/problem_1540.png b/results/test/ellipse/problem_1540.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0c838d54033937a1a9daa221e0d4b158ae5ee94
--- /dev/null
+++ b/results/test/ellipse/problem_1540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d97f36ad7b8d6b337191def05a2e78ce45415aa2a9d46c9280d0dcc1c23eb558
+size 222344
diff --git a/results/test/ellipse/problem_1550.png b/results/test/ellipse/problem_1550.png
new file mode 100644
index 0000000000000000000000000000000000000000..59d699a5864a15761084a5542bc30b1cf00cf23b
--- /dev/null
+++ b/results/test/ellipse/problem_1550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de11da7dd75fdd6f6f25f82e0f2e12dc68ba630d9dd78df402723dd2cb25aea2
+size 234297
diff --git a/results/test/ellipse/problem_1551.png b/results/test/ellipse/problem_1551.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4fc93ac870279e4ffb80480d8d5b4e7aaf8679d
--- /dev/null
+++ b/results/test/ellipse/problem_1551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69a8178538996f90bd69cd62d156dd43ac9f4663a378e3ec0de0038851bc411c
+size 210130
diff --git a/results/test/ellipse/problem_1553.png b/results/test/ellipse/problem_1553.png
new file mode 100644
index 0000000000000000000000000000000000000000..748908af80d4429a4b2fc46df439f297d458570f
--- /dev/null
+++ b/results/test/ellipse/problem_1553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a308c0c69e1668254f3540c2f102afb5656884b319c81b0517110254d2f3c33a
+size 232168
diff --git a/results/test/ellipse/problem_1559.png b/results/test/ellipse/problem_1559.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f406cb910b760be3aabfbdaa7f6b1695807a3ed
--- /dev/null
+++ b/results/test/ellipse/problem_1559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e13ee7a590f42ab9d61ea12db25255b0fda337c6434c97c5114e86291527a68c
+size 239266
diff --git a/results/test/ellipse/problem_1560.png b/results/test/ellipse/problem_1560.png
new file mode 100644
index 0000000000000000000000000000000000000000..faf1e1dc9506de9bd458f9dbc4b76670f22d9466
--- /dev/null
+++ b/results/test/ellipse/problem_1560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebc624aaef0c2a41ce34f534e2e67fdeb7111cb2806691bbbc938f4a172c6161
+size 232257
diff --git a/results/test/ellipse/problem_1567.png b/results/test/ellipse/problem_1567.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fcc09c7d7d7732b6bee01232e2e4cc274824718
--- /dev/null
+++ b/results/test/ellipse/problem_1567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09e8d772c7279f7abda28b6682b78fa4ac99c0a693d973c2b805b8e010feadd4
+size 230448
diff --git a/results/test/ellipse/problem_1571.png b/results/test/ellipse/problem_1571.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5b227698b4f87fefb02bbf0c722102ae255c755
--- /dev/null
+++ b/results/test/ellipse/problem_1571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50d846325f80798b94f03a68b7e4155e46039970aef8d8179163fa0d1dc8fd74
+size 230554
diff --git a/results/test/ellipse/problem_1579.png b/results/test/ellipse/problem_1579.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e32afb078dff1bc4325af0a69eb87bd6e237259
--- /dev/null
+++ b/results/test/ellipse/problem_1579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8b1b3e582bbf6f7a5fdad8ecbac6193b1a26b29c05b9ba65914835e87a4a075
+size 198241
diff --git a/results/test/ellipse/problem_1582.png b/results/test/ellipse/problem_1582.png
new file mode 100644
index 0000000000000000000000000000000000000000..8afaece843cd529b3d821a6e0bf672191505c05a
--- /dev/null
+++ b/results/test/ellipse/problem_1582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99c8b6c0933dd83241880fa2df02c97bf176997ff68ec5ca351d5686383a3802
+size 236384
diff --git a/results/test/ellipse/problem_1583.png b/results/test/ellipse/problem_1583.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1f9b985f300e33f0901a3661311261344168b28
--- /dev/null
+++ b/results/test/ellipse/problem_1583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:119bc37cc08d5902f1ac440ec651b3161f5e6e97ca7da1a9691deb7f07331680
+size 210508
diff --git a/results/test/ellipse/problem_1585.png b/results/test/ellipse/problem_1585.png
new file mode 100644
index 0000000000000000000000000000000000000000..e886d7fbb374efbc837f2efe9515b33f05c8ec45
--- /dev/null
+++ b/results/test/ellipse/problem_1585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab43c539bf106d21673f163839e863b206ecdef285f89dfe4fe29a928c1b3ec9
+size 219265
diff --git a/results/test/ellipse/problem_1586.png b/results/test/ellipse/problem_1586.png
new file mode 100644
index 0000000000000000000000000000000000000000..07b768e87ac84b5cacaed6546a6ac60c8ea0ace6
--- /dev/null
+++ b/results/test/ellipse/problem_1586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8957a5be3d02db285a74b841165d2887c7f9ec332d3ae1425c10a6c83553e80
+size 214467
diff --git a/results/test/ellipse/problem_1594.png b/results/test/ellipse/problem_1594.png
new file mode 100644
index 0000000000000000000000000000000000000000..a65f2787edc5429d25f5c66c1a787c241f769992
--- /dev/null
+++ b/results/test/ellipse/problem_1594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8183fce7c9f90fcf64cd57377741191364badaade0f3f4b49256971ca5208d68
+size 233585
diff --git a/results/test/ellipse/problem_1595.png b/results/test/ellipse/problem_1595.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a8b2ae709a180d2bd179647072214ac404b79e2
--- /dev/null
+++ b/results/test/ellipse/problem_1595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:727859b4f1a5a6c211e97ea3cda1dfc7c0556d99debb523d992a6174700d4fb2
+size 220861
diff --git a/results/test/ellipse/problem_1596.png b/results/test/ellipse/problem_1596.png
new file mode 100644
index 0000000000000000000000000000000000000000..47f71887ad4b4daa983fe89a9ca29a3a8d93f68c
--- /dev/null
+++ b/results/test/ellipse/problem_1596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb54643584a5e01372da2a8e9637144cbf039d48d89a90c6f679f1341721bd51
+size 220583
diff --git a/results/test/ellipse/problem_1598.png b/results/test/ellipse/problem_1598.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d11c31adbc21a42d5f76018af0127ee3c99dc2e
--- /dev/null
+++ b/results/test/ellipse/problem_1598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e00051ee494dff1953258cf14b6b8acc4aa6f441c42f1d607c68e449e8beeb87
+size 210773
diff --git a/results/test/ellipse/problem_1601.png b/results/test/ellipse/problem_1601.png
new file mode 100644
index 0000000000000000000000000000000000000000..a97fd3b2c8d1f2c4a1e99d355b2636bf23b42c7b
--- /dev/null
+++ b/results/test/ellipse/problem_1601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6dac6d621bffd89369913801fe6eb0eecddd4cabd1b815c9401998006705a1a6
+size 228560
diff --git a/results/test/ellipse/problem_1604.png b/results/test/ellipse/problem_1604.png
new file mode 100644
index 0000000000000000000000000000000000000000..63c5ac1963c3bff9628325309ff33c55ad6207e0
--- /dev/null
+++ b/results/test/ellipse/problem_1604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7887f6fc3d1e500e6ef80a1642c3b5f7b5ec53b66425edec6b1a587e5178e695
+size 214701
diff --git a/results/test/ellipse/problem_1606.png b/results/test/ellipse/problem_1606.png
new file mode 100644
index 0000000000000000000000000000000000000000..6724f8fa7f571b864ce4ea4fa44d40b03e5a8f6a
--- /dev/null
+++ b/results/test/ellipse/problem_1606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b29b43ee967197e95bf3e5f11d95e5918def554fff4c1ff06e51e1d1aff6cfe
+size 234995
diff --git a/results/test/ellipse/problem_1607.png b/results/test/ellipse/problem_1607.png
new file mode 100644
index 0000000000000000000000000000000000000000..25230ca0e973a11d9667e3482600d0e1fb3df311
--- /dev/null
+++ b/results/test/ellipse/problem_1607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b29902ce7a1c3484af1b2420bfe9cd9f90bbd3905c2411afc8ec6195fe2bc89
+size 224252
diff --git a/results/test/ellipse/problem_1611.png b/results/test/ellipse/problem_1611.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b6aa2ae81297a4ed5d24e9c253ecf7406605704
--- /dev/null
+++ b/results/test/ellipse/problem_1611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11f4b0a1809df3fb223bf07d1e692a6920cd4ca4275688f9f3c962959d28a4c0
+size 231824
diff --git a/results/test/ellipse/problem_1614.png b/results/test/ellipse/problem_1614.png
new file mode 100644
index 0000000000000000000000000000000000000000..81088d7630bccb53fbbb73769dfaa6447a51cf2b
--- /dev/null
+++ b/results/test/ellipse/problem_1614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ae357142d45f521ee989e6a2de54767244d541e82e8470772035e8677bb85ed
+size 220630
diff --git a/results/test/ellipse/problem_1618.png b/results/test/ellipse/problem_1618.png
new file mode 100644
index 0000000000000000000000000000000000000000..50e78198ac50ed0f3d41795e09ac52e7fb355866
--- /dev/null
+++ b/results/test/ellipse/problem_1618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73f337e987cc4fd0e2d056b85a2890cd2b33d7b68f7e16fbc40a8b0a17fe1152
+size 230105
diff --git a/results/test/ellipse/problem_1627.png b/results/test/ellipse/problem_1627.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae5351a69c9c3bc2d719c28a579bfd3487ad6900
--- /dev/null
+++ b/results/test/ellipse/problem_1627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ac91d50d884511064094b3041c646dc7b09bb73351a7f59246e2e349d5fddab
+size 194192
diff --git a/results/test/ellipse/problem_1632.png b/results/test/ellipse/problem_1632.png
new file mode 100644
index 0000000000000000000000000000000000000000..41f4ea4a7a139eaf7f6359e61124da6c40478a3d
--- /dev/null
+++ b/results/test/ellipse/problem_1632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32c293d2d3c5cc8044076e148a65aeb5a1e63fa8c18e036f37e22b7139567ed8
+size 224847
diff --git a/results/test/ellipse/problem_1633.png b/results/test/ellipse/problem_1633.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3b3f1f27ddb45a606ff113c929a43435f4edf76
--- /dev/null
+++ b/results/test/ellipse/problem_1633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b22715c108234dc7aa9c637a228c92df468584f4dd2f4ace018c0cdc5b20828f
+size 235943
diff --git a/results/test/ellipse/problem_1635.png b/results/test/ellipse/problem_1635.png
new file mode 100644
index 0000000000000000000000000000000000000000..07dae3f4e922d0126886ee9fab0f470d74268553
--- /dev/null
+++ b/results/test/ellipse/problem_1635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27e90efa732edb995380cde76529e08812da161ddd4494edbd30cfcb92b68bdd
+size 211249
diff --git a/results/test/ellipse/problem_1636.png b/results/test/ellipse/problem_1636.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a0b9f713d3861d7018ef01029d4a7d0f2c5aacf
--- /dev/null
+++ b/results/test/ellipse/problem_1636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24ed0d53341bdf48e9d307e61d91d8e8e2619ca02aea78be0cfc5e4ba1d54f95
+size 215714
diff --git a/results/test/ellipse/problem_1639.png b/results/test/ellipse/problem_1639.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fb343e4e101f1a0a0a616db54700e45947e874f
--- /dev/null
+++ b/results/test/ellipse/problem_1639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:527842752e04ce6ad92030a82c2724f37454b101b20b281c6e0f3616b0f14980
+size 218562
diff --git a/results/test/ellipse/problem_1641.png b/results/test/ellipse/problem_1641.png
new file mode 100644
index 0000000000000000000000000000000000000000..04608c78df2f8b3190380d3998c735c5c94d13d0
--- /dev/null
+++ b/results/test/ellipse/problem_1641.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:240152dee58ad167e69f7d7c2a34780f1e2ee2e369838a5fb7afde912bcafe3a
+size 224839
diff --git a/results/test/ellipse/problem_1643.png b/results/test/ellipse/problem_1643.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0a92b9391f7b20739a4cabf496b75ed248e79f2
--- /dev/null
+++ b/results/test/ellipse/problem_1643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84c30a3bc3c0e12adb74461aed79f430336aae8e7878f9555bf95975755bd6cc
+size 234702
diff --git a/results/test/ellipse/problem_1645.png b/results/test/ellipse/problem_1645.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9f920bffedda9b5b19eb512ba9c97d5b5d285e4
--- /dev/null
+++ b/results/test/ellipse/problem_1645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc306446d37db09477a611a91ddcba7ea6f89256e922e8908506d96313f30f5d
+size 227279
diff --git a/results/test/ellipse/problem_1657.png b/results/test/ellipse/problem_1657.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9a647530e58599f0a5b5bf5e55da49120a8dd2d
--- /dev/null
+++ b/results/test/ellipse/problem_1657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e6110fff9befba757c2738852896b5d9e9ce41cc08b3f7a5d84b4051b0e19fd
+size 212352
diff --git a/results/test/ellipse/problem_1662.png b/results/test/ellipse/problem_1662.png
new file mode 100644
index 0000000000000000000000000000000000000000..c65ea10430f0b51e76093749a9e6aee4ba6fa06d
--- /dev/null
+++ b/results/test/ellipse/problem_1662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c0f563b32c648e2596060c4b378ddc22a7b0025efd28e1f6576fee47824fb91
+size 230008
diff --git a/results/test/ellipse/problem_1666.png b/results/test/ellipse/problem_1666.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b0ba604eb5c51e660b473521ab7521a695f71ee
--- /dev/null
+++ b/results/test/ellipse/problem_1666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dde9e84d2fbd508d361653f61993bdcb577c30bbf23410d9648280b4ee471682
+size 227252
diff --git a/results/test/ellipse/problem_1669.png b/results/test/ellipse/problem_1669.png
new file mode 100644
index 0000000000000000000000000000000000000000..2376b32c2625212444c95e10c660a6578541a685
--- /dev/null
+++ b/results/test/ellipse/problem_1669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3372f3a55cc63d551441d0c66a985819c74415e1080785ad4820ed52636472b8
+size 223322
diff --git a/results/test/ellipse/problem_1678.png b/results/test/ellipse/problem_1678.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc75c9b40c1f51e45d17849e64fd3781cc0e4061
--- /dev/null
+++ b/results/test/ellipse/problem_1678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7820afe8e8404756bc823eef2e6ce90d894760bfe307f5f17e4e8779fc8d2a0
+size 226348
diff --git a/results/test/ellipse/problem_1679.png b/results/test/ellipse/problem_1679.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ff0402f73db8bdd1771c727bee8fd47f8ce8725
--- /dev/null
+++ b/results/test/ellipse/problem_1679.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:931fac5677b7d852b03912918da5b29127e0249acc85a3c775380cca081eb576
+size 217103
diff --git a/results/test/ellipse/problem_1685.png b/results/test/ellipse/problem_1685.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f6c901ce453194baf28336349e42c19e9590f85
--- /dev/null
+++ b/results/test/ellipse/problem_1685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0076b3b5535de37a31c75c602acf4e174ea701f71210187a7ed821b8e26f2fb1
+size 213196
diff --git a/results/test/ellipse/problem_1686.png b/results/test/ellipse/problem_1686.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d96a5b6d36dcb4b812251c450374c400c679e2b
--- /dev/null
+++ b/results/test/ellipse/problem_1686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41d97432afe658249004b3bd68e868413c6a0c02cd07c4b0a0c33dde275fb6b8
+size 232457
diff --git a/results/test/ellipse/problem_1687.png b/results/test/ellipse/problem_1687.png
new file mode 100644
index 0000000000000000000000000000000000000000..94f0f7f63a3d65ae3b1daf574c2b1056428dcc88
--- /dev/null
+++ b/results/test/ellipse/problem_1687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecf29a3ea7ef7977a33a4858f4602032f3b0c698aa17ec63cf816c79460adaff
+size 224389
diff --git a/results/test/ellipse/problem_1688.png b/results/test/ellipse/problem_1688.png
new file mode 100644
index 0000000000000000000000000000000000000000..c550edb29969d8bee5b6dcb41b9e3ac07f620ca3
--- /dev/null
+++ b/results/test/ellipse/problem_1688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c8b369eb1381ce4d7d54679fbf38e5c30b381596444413d890f7cc40f8bc6e8
+size 225909
diff --git a/results/test/ellipse/problem_1699.png b/results/test/ellipse/problem_1699.png
new file mode 100644
index 0000000000000000000000000000000000000000..12f35f8693090bf939f2525cf0c0b722f8e28eaa
--- /dev/null
+++ b/results/test/ellipse/problem_1699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6499a23b1da7e7be1018525256a537090978f64750493055157081dfd0b0e81b
+size 209525
diff --git a/results/test/ellipse/problem_1701.png b/results/test/ellipse/problem_1701.png
new file mode 100644
index 0000000000000000000000000000000000000000..eba2cc5e352b4fc64fe6705f8aab9ecabb60731d
--- /dev/null
+++ b/results/test/ellipse/problem_1701.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a43082b774728e0f5c78dd4dc23bacf230d8812054e27af8722dfdc9be17758
+size 193253
diff --git a/results/test/ellipse/problem_1707.png b/results/test/ellipse/problem_1707.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b589256279ea5b040733c65923b2e5dd4b11925
--- /dev/null
+++ b/results/test/ellipse/problem_1707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e91169c5195bd52ed0cdfe4b46a0b349d2acb498675205a6fc78f1e5ff1adc0
+size 235259
diff --git a/results/test/ellipse/problem_1710.png b/results/test/ellipse/problem_1710.png
new file mode 100644
index 0000000000000000000000000000000000000000..503df2199a7b63ae4f4e3257640e4adb9ec2bc51
--- /dev/null
+++ b/results/test/ellipse/problem_1710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cea9711a82d95250fab1420d7b49b0885827340e025e433ae67e6f7745ed275f
+size 214089
diff --git a/results/test/ellipse/problem_1718.png b/results/test/ellipse/problem_1718.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a65ade4dec857d86382f1fa9dfa774d37990226
--- /dev/null
+++ b/results/test/ellipse/problem_1718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c3d58106b5428517e4201582d9b4ddc9ec1ecc051977005547bda43221362be
+size 225807
diff --git a/results/test/ellipse/problem_1720.png b/results/test/ellipse/problem_1720.png
new file mode 100644
index 0000000000000000000000000000000000000000..15e57652ecfa1fadbc0be9e2fa364383706a5240
--- /dev/null
+++ b/results/test/ellipse/problem_1720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79072a74c2ea343a21e0672e18b7e4d7e01eee6e217402a6546877891b2d7952
+size 191998
diff --git a/results/test/ellipse/problem_1725.png b/results/test/ellipse/problem_1725.png
new file mode 100644
index 0000000000000000000000000000000000000000..34117c770942e66eb939b4b549a2f73a05159f89
--- /dev/null
+++ b/results/test/ellipse/problem_1725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45519455ff0b7efacd23627cb60c2b8af9fed1c02a553340723f4642b4790010
+size 219003
diff --git a/results/test/ellipse/problem_1729.png b/results/test/ellipse/problem_1729.png
new file mode 100644
index 0000000000000000000000000000000000000000..1db11bd93ae16dcf7bbb3bac81f749ff0e271966
--- /dev/null
+++ b/results/test/ellipse/problem_1729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:156fcad69d9cafb06e885686d19724f4e4dd1dae234de31d40112941cc0ccd6c
+size 225034
diff --git a/results/test/ellipse/problem_1732.png b/results/test/ellipse/problem_1732.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ec57bb0948e2137e68547c61c7bf4d73d70e4d3
--- /dev/null
+++ b/results/test/ellipse/problem_1732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c2ac84d802f4fd8e752c2e216c023b247495eff52169c593e87b2bba1b64d43
+size 201400
diff --git a/results/test/ellipse/problem_1733.png b/results/test/ellipse/problem_1733.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a222f56097cb6ea62018912d1ea55dc95af172a
--- /dev/null
+++ b/results/test/ellipse/problem_1733.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09f119761225a6d86b2c86cc027a77323419602e9a51263dc013d60fa9459729
+size 259845
diff --git a/results/test/ellipse/problem_1734.png b/results/test/ellipse/problem_1734.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c1306f71cab6f6e07a08e601d977a80203a9b81
--- /dev/null
+++ b/results/test/ellipse/problem_1734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3007a800f6af55e39aedc6bc2df4ee73cbab52b7650590ce9f90560e575abf9c
+size 212914
diff --git a/results/test/ellipse/problem_1740.png b/results/test/ellipse/problem_1740.png
new file mode 100644
index 0000000000000000000000000000000000000000..16e6b358a6753019d8aa9f61e9dd02671c1755b9
--- /dev/null
+++ b/results/test/ellipse/problem_1740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:434fa140a2f3d08705416447d94fa6df2b559905bbf98577c3c8ab818718e12c
+size 219708
diff --git a/results/test/ellipse/problem_1744.png b/results/test/ellipse/problem_1744.png
new file mode 100644
index 0000000000000000000000000000000000000000..66cc9c2bb873f162cff90b9263b506eb19cd2b26
--- /dev/null
+++ b/results/test/ellipse/problem_1744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0444d9c5ca9a98490e1a4a4647dffb57b17cc8360e7c8fa159a5867357022cc7
+size 234804
diff --git a/results/test/ellipse/problem_1764.png b/results/test/ellipse/problem_1764.png
new file mode 100644
index 0000000000000000000000000000000000000000..43f0c47f72749f9ac868249f11000ff38b5f9705
--- /dev/null
+++ b/results/test/ellipse/problem_1764.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fad3f002ae2f61f63305b2b7901668dd704bfa453063dc767b595827337b970
+size 250724
diff --git a/results/test/ellipse/problem_1765.png b/results/test/ellipse/problem_1765.png
new file mode 100644
index 0000000000000000000000000000000000000000..82b21d8867552b541e10b920f7b07d9e9fb5add9
--- /dev/null
+++ b/results/test/ellipse/problem_1765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfce9e925d4d2323a10cc01b0ac2348dee17705952c2d6add0abf57d63f88f0c
+size 208403
diff --git a/results/test/ellipse/problem_1769.png b/results/test/ellipse/problem_1769.png
new file mode 100644
index 0000000000000000000000000000000000000000..525a0474fe8e065501a58bdab8a3e4cf46749d43
--- /dev/null
+++ b/results/test/ellipse/problem_1769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81d38db03898aa9f629331e47cf498b3887a406f3c580dcc0ccc46dc3e7b2feb
+size 219719
diff --git a/results/test/ellipse/problem_1775.png b/results/test/ellipse/problem_1775.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4e8bd8aec556499848b853d7f25bb3a3a8d32ba
--- /dev/null
+++ b/results/test/ellipse/problem_1775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1860430a8e252a0a6f776e0f034258b9627466757a0b5f91d5b1015b7264ec57
+size 230169
diff --git a/results/test/ellipse/problem_1781.png b/results/test/ellipse/problem_1781.png
new file mode 100644
index 0000000000000000000000000000000000000000..5667de976a4234ee08bd2f6d2fe2db6d23580782
--- /dev/null
+++ b/results/test/ellipse/problem_1781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1020fa79f54f0b0b65eb6028b8d5d77a26e64a61d9d828d1a060dfaa4268f88b
+size 194438
diff --git a/results/test/ellipse/problem_1783.png b/results/test/ellipse/problem_1783.png
new file mode 100644
index 0000000000000000000000000000000000000000..53076a966af2e8aa81e668ecb6615e9283623b41
--- /dev/null
+++ b/results/test/ellipse/problem_1783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:815a22416eafa43d85f6c9e6e6ad8a753e119266c078ddc8209af62170cdefc9
+size 220048
diff --git a/results/test/ellipse/problem_1792.png b/results/test/ellipse/problem_1792.png
new file mode 100644
index 0000000000000000000000000000000000000000..0277ddfdcb800b3b7454416030c47a72b368f048
--- /dev/null
+++ b/results/test/ellipse/problem_1792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf9b81c551b44ca12b90104a9039c5f30572830ff1531027aea472a34cbc0964
+size 226949
diff --git a/results/test/ellipse/problem_1800.png b/results/test/ellipse/problem_1800.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef11405a0f9be6e36a99f69908ab48db8726259d
--- /dev/null
+++ b/results/test/ellipse/problem_1800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02012e59b83a635545534873d14d94827859c3586e3e801b16ac0e0ab1d1d3ad
+size 207830
diff --git a/results/test/ellipse/problem_1802.png b/results/test/ellipse/problem_1802.png
new file mode 100644
index 0000000000000000000000000000000000000000..2797beb55c801f9350281275ab6692cae5d89748
--- /dev/null
+++ b/results/test/ellipse/problem_1802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f6f5a0afb3a6c286f9799a4a4717ad6f0798bc3bb59966cd6ac239cbbf3f835
+size 213508
diff --git a/results/test/ellipse/problem_1805.png b/results/test/ellipse/problem_1805.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd484ed60ed04eba1013c0ffbd0d9d21c1a57a56
--- /dev/null
+++ b/results/test/ellipse/problem_1805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cfd293b36579ff00a70cb49bf37b93430c70c9c465a02887eb2eb16afd93e47
+size 218510
diff --git a/results/test/ellipse/problem_1810.png b/results/test/ellipse/problem_1810.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5989ed57202d854f5c5137dd175504e9f483c23
--- /dev/null
+++ b/results/test/ellipse/problem_1810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e359eaff139e6d0e77c97c969f5f87c411c71b082bd535c0ec9f1db8134de0de
+size 226090
diff --git a/results/test/ellipse/problem_1819.png b/results/test/ellipse/problem_1819.png
new file mode 100644
index 0000000000000000000000000000000000000000..8533f3ca921e10cb656d784b902cc3fe13c3b10e
--- /dev/null
+++ b/results/test/ellipse/problem_1819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa72d58ef8ad163c5d3891a5167d03e1ae6f6d2142684ab6329959f9ae8ace65
+size 191301
diff --git a/results/test/ellipse/problem_1823.png b/results/test/ellipse/problem_1823.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7600e3b4b3ffc432c0b51c22d193920684f985e
--- /dev/null
+++ b/results/test/ellipse/problem_1823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d478f788d9e68ddab0858ba058ed52e7903456391926f9cea09cf7788fa78d38
+size 226501
diff --git a/results/test/ellipse/problem_1824.png b/results/test/ellipse/problem_1824.png
new file mode 100644
index 0000000000000000000000000000000000000000..75bfb02abc3e89b19ce7227a59d0331b1eb69fa9
--- /dev/null
+++ b/results/test/ellipse/problem_1824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74b5ab1a319cea4e4a32acdc1baabfa63757173d478d1209c52f7ab76491a3fa
+size 229348
diff --git a/results/test/ellipse/problem_1826.png b/results/test/ellipse/problem_1826.png
new file mode 100644
index 0000000000000000000000000000000000000000..836dd6bcaa899dd88f9d10ba21e13b8aa917a495
--- /dev/null
+++ b/results/test/ellipse/problem_1826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8c57ec6f6fe0df2f4c310cab2d05cd1a4a72672e92480f1f1cd68c94154700d
+size 243657
diff --git a/results/test/ellipse/problem_1830.png b/results/test/ellipse/problem_1830.png
new file mode 100644
index 0000000000000000000000000000000000000000..88d89b71cebb0618fc0ee4a987529e98e38d29de
--- /dev/null
+++ b/results/test/ellipse/problem_1830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:592c385d0fd0a0a7345921f9d8667b3d0a681a8f8cf1433ac1bd2e4c5d465c76
+size 234583
diff --git a/results/test/ellipse/problem_1834.png b/results/test/ellipse/problem_1834.png
new file mode 100644
index 0000000000000000000000000000000000000000..63aaad50937dee97f222844f564396c77198cb04
--- /dev/null
+++ b/results/test/ellipse/problem_1834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5cb6ebd5ea32fdd443f897ac25544faf6bbc7ce79981f556acb9226ebafead6
+size 224741
diff --git a/results/test/ellipse/problem_1835.png b/results/test/ellipse/problem_1835.png
new file mode 100644
index 0000000000000000000000000000000000000000..6101eec6c19938dfa6f5ce1e7187aeaa6c31c760
--- /dev/null
+++ b/results/test/ellipse/problem_1835.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4d9527195719ec4235c178742fd988ae4fa6fe024837b3a6c8a2cd93fc6d0ca
+size 213805
diff --git a/results/test/ellipse/problem_1838.png b/results/test/ellipse/problem_1838.png
new file mode 100644
index 0000000000000000000000000000000000000000..64b94540d7a1dbb7984eca3d78a8cf5ae4bf38c2
--- /dev/null
+++ b/results/test/ellipse/problem_1838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:249ca4ef2e3c4aa50955427e815b576a6ca43b1c5d3e42f2143c1ed81f164702
+size 222735
diff --git a/results/test/ellipse/problem_1846.png b/results/test/ellipse/problem_1846.png
new file mode 100644
index 0000000000000000000000000000000000000000..dda84ce4eb792ced416ee8d8dbd4b6120b045d82
--- /dev/null
+++ b/results/test/ellipse/problem_1846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87f5e3e3da3684eed3f6cdfcb2e5a543f2d9ea1b1aa5c559d0ed4c61bfcadef4
+size 211381
diff --git a/results/test/ellipse/problem_1847.png b/results/test/ellipse/problem_1847.png
new file mode 100644
index 0000000000000000000000000000000000000000..745e7c9065533a369f94271394450b6fa229c8c2
--- /dev/null
+++ b/results/test/ellipse/problem_1847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62d6119318137dacd97517b48f4f8cd611cdadfb6a539099677a76cbf50544c4
+size 224650
diff --git a/results/test/ellipse/problem_1849.png b/results/test/ellipse/problem_1849.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8f0fb525eb9a261186e8c017a7683c722c3ea60
--- /dev/null
+++ b/results/test/ellipse/problem_1849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b5746611716c5b184b9da0b505f24056701f9ab2b13bec6b85d7c86ea0cdec4
+size 231234
diff --git a/results/test/ellipse/problem_1850.png b/results/test/ellipse/problem_1850.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1647fcb5ab159d710cc66af3c714a2214368ef4
--- /dev/null
+++ b/results/test/ellipse/problem_1850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3c0887e7e24fce2d5cee698a5a59bf437e3062f38b6c6b5bed814cf571f077e
+size 229403
diff --git a/results/test/ellipse/problem_1864.png b/results/test/ellipse/problem_1864.png
new file mode 100644
index 0000000000000000000000000000000000000000..0040150a4ae9913cd950bb11f9bb92a2f20f76ce
--- /dev/null
+++ b/results/test/ellipse/problem_1864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ddaeff9d5c84d49f977cc4e8e2a8ee81be6e2c6b7add07c1fce1de3afe8cf9b
+size 198482
diff --git a/results/test/ellipse/problem_1872.png b/results/test/ellipse/problem_1872.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2f5d63310fa96b8166432aa487ac6ed80695b26
--- /dev/null
+++ b/results/test/ellipse/problem_1872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbc891a00f11ee9e4a973e4966dc6f94637b0145effbddc8493b7c1f734fb789
+size 200652
diff --git a/results/test/ellipse/problem_1879.png b/results/test/ellipse/problem_1879.png
new file mode 100644
index 0000000000000000000000000000000000000000..885011000e204a507b7fb75e5146f9349b1e0f43
--- /dev/null
+++ b/results/test/ellipse/problem_1879.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc9810fbe265da7a2a67682a9e9f94c581a23d12ea134372589cca138e063fb5
+size 219246
diff --git a/results/test/ellipse/problem_1881.png b/results/test/ellipse/problem_1881.png
new file mode 100644
index 0000000000000000000000000000000000000000..593d24c4693812de7d920817b492e6b307690e89
--- /dev/null
+++ b/results/test/ellipse/problem_1881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:563a90259cc10262c2389a770faa0325dd97068fcde1d5a8bd874f1c8fb86f63
+size 224019
diff --git a/results/test/ellipse/problem_1882.png b/results/test/ellipse/problem_1882.png
new file mode 100644
index 0000000000000000000000000000000000000000..5074e8653dd5d6e50de583d4d0688b91c0d467e6
--- /dev/null
+++ b/results/test/ellipse/problem_1882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a804411c759f40d950d436538618982ac9b039a4e0c58998fc7029f8152e5812
+size 232751
diff --git a/results/test/ellipse/problem_1891.png b/results/test/ellipse/problem_1891.png
new file mode 100644
index 0000000000000000000000000000000000000000..0222f55f9451904dfe56440ff2601e2e01af448f
--- /dev/null
+++ b/results/test/ellipse/problem_1891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47091d37ebb5d283cd24ca01b41d280b66ce8e543d6f2f2af1884271952bf053
+size 239807
diff --git a/results/test/ellipse/problem_1893.png b/results/test/ellipse/problem_1893.png
new file mode 100644
index 0000000000000000000000000000000000000000..0abf6815b254aabf57090f58412b1a21ca9b8e20
--- /dev/null
+++ b/results/test/ellipse/problem_1893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a99e60c19ab854f065e5c4f595b3add6b1abb754d828016387d02a09ecd7882e
+size 227230
diff --git a/results/test/ellipse/problem_1895.png b/results/test/ellipse/problem_1895.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea1c980fba0671c0407af3923a6286148234a5eb
--- /dev/null
+++ b/results/test/ellipse/problem_1895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fbf5f58742022ca6004c033606f5224760e42f4110657a933d6994125e6332d
+size 224286
diff --git a/results/test/ellipse/problem_1896.png b/results/test/ellipse/problem_1896.png
new file mode 100644
index 0000000000000000000000000000000000000000..46891c8ba71e29f265cc5c747fd144184955d069
--- /dev/null
+++ b/results/test/ellipse/problem_1896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82f844c2163a75ba7de832777dd7400cf7261e0c07d06730bf38ba5bd9e4b09d
+size 234307
diff --git a/results/test/ellipse/problem_1898.png b/results/test/ellipse/problem_1898.png
new file mode 100644
index 0000000000000000000000000000000000000000..3801514e3567401a955f1202256ca4a70569ed72
--- /dev/null
+++ b/results/test/ellipse/problem_1898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9dc578abb9e10b8f7ac7124ad715bc678b7873c85911cc8e8194c361125a61e
+size 227814
diff --git a/results/test/ellipse/problem_1901.png b/results/test/ellipse/problem_1901.png
new file mode 100644
index 0000000000000000000000000000000000000000..4026c35bcd369e661f61d111a9718fca1b7ea61c
--- /dev/null
+++ b/results/test/ellipse/problem_1901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a96efefdbdcd0c413da1a73df7054cfaab8a66b21fc653a5eef2833798a2a8ab
+size 215189
diff --git a/results/test/ellipse/problem_1909.png b/results/test/ellipse/problem_1909.png
new file mode 100644
index 0000000000000000000000000000000000000000..7137d77fc7a76f9fac614c4d845afffd67fbfa3d
--- /dev/null
+++ b/results/test/ellipse/problem_1909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:469fa70be8ef39bf701b21ae6825d99fd54c2389f26232e3b8b53a79c9af3faa
+size 186742
diff --git a/results/test/ellipse/problem_1914.png b/results/test/ellipse/problem_1914.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eba0e349e9981c01e8fd554b90f472f2bee7caf
--- /dev/null
+++ b/results/test/ellipse/problem_1914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:604fc54e1876ff0ab32999175f69d1159ecf74dcd35e6c4387d9cd3d98465bc0
+size 233439
diff --git a/results/test/ellipse/problem_1920.png b/results/test/ellipse/problem_1920.png
new file mode 100644
index 0000000000000000000000000000000000000000..989b47c8a25f2fbc142fcc19d16411dec8350dad
--- /dev/null
+++ b/results/test/ellipse/problem_1920.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af18ed73b2b74c497a9ab7d222fb3c01a70864d71482f5dca0f28c38b1dab33e
+size 205333
diff --git a/results/test/ellipse/problem_1930.png b/results/test/ellipse/problem_1930.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebfd8ee7f52e1b692969799c0c99ed334ab941db
--- /dev/null
+++ b/results/test/ellipse/problem_1930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0235e4ee724fe286d08e591ffcef71738c892220db1bdc5267bccae6b4294d2
+size 227692
diff --git a/results/test/ellipse/problem_1931.png b/results/test/ellipse/problem_1931.png
new file mode 100644
index 0000000000000000000000000000000000000000..7105a2e49c8d27521789e286c89f213b9e9dcf3e
--- /dev/null
+++ b/results/test/ellipse/problem_1931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d061841a946cfbb9a7f6a58c901f061b07835b32847de086527fcb9d5e9ed5b9
+size 225844
diff --git a/results/test/ellipse/problem_1937.png b/results/test/ellipse/problem_1937.png
new file mode 100644
index 0000000000000000000000000000000000000000..396810188389e88cb01c022332ecab1da165e9f5
--- /dev/null
+++ b/results/test/ellipse/problem_1937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbd50bdeecb90014906e6b91d454d187f8db6eb048a1b6cd9e1bfb0ee311d55d
+size 239958
diff --git a/results/test/ellipse/problem_1938.png b/results/test/ellipse/problem_1938.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3b73427ba15be26759ee0ceea17ae6566eb00b7
--- /dev/null
+++ b/results/test/ellipse/problem_1938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cdc849bb03dd78152f27424a3e6b357401a55ae09abfc487a2219c52535ad1a2
+size 217596
diff --git a/results/test/ellipse/problem_1939.png b/results/test/ellipse/problem_1939.png
new file mode 100644
index 0000000000000000000000000000000000000000..86d2d9191f7f7b78cd9a10817aa716c6fa1fc602
--- /dev/null
+++ b/results/test/ellipse/problem_1939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c73a530e9b570c80bb7f79f602db412f867515e25dc0ac078199147e3be53e8
+size 221261
diff --git a/results/test/ellipse/problem_1940.png b/results/test/ellipse/problem_1940.png
new file mode 100644
index 0000000000000000000000000000000000000000..0684d80b2ca070f070c7ad7509e5e8f12835dd46
--- /dev/null
+++ b/results/test/ellipse/problem_1940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6df24a6e8ec63491ea8f4a0732118c231d7d8f9162635d40324f966694573748
+size 210860
diff --git a/results/test/ellipse/problem_1945.png b/results/test/ellipse/problem_1945.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaf93bfc0a70bdbe33ca66e5955b537879e88060
--- /dev/null
+++ b/results/test/ellipse/problem_1945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b08c6cf2bff5d9b4bfe80dbe5cb57ace049f1375b55844d9e9acbbb997587e32
+size 245412
diff --git a/results/test/ellipse/problem_1962.png b/results/test/ellipse/problem_1962.png
new file mode 100644
index 0000000000000000000000000000000000000000..650299769e855072056f212f764b356532926f4f
--- /dev/null
+++ b/results/test/ellipse/problem_1962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73faafcfb74813de8819eebb547fa81b4152a71d63cd9c1ad80b05e8cb8402a7
+size 220779
diff --git a/results/test/ellipse/problem_1975.png b/results/test/ellipse/problem_1975.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e1deca83d690ac241dabddcc299ddaa2220fbc8
--- /dev/null
+++ b/results/test/ellipse/problem_1975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e1acae986145f6babdb23faf8425cbb888639947e1863bffcf864dad8d26f9d
+size 223085
diff --git a/results/test/ellipse/problem_1984.png b/results/test/ellipse/problem_1984.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3108d9e19532bf31c6b6412f078d69e69a3e3bd
--- /dev/null
+++ b/results/test/ellipse/problem_1984.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55915fa84dba11d954d8cb4ed20308dcdf59e3171fc07cb69b03ee10993c6d0f
+size 230408
diff --git a/results/test/ellipse/problem_1985.png b/results/test/ellipse/problem_1985.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6806b923f1a41322926f86a70e228098db0f46e
--- /dev/null
+++ b/results/test/ellipse/problem_1985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d3d5baae141d23cd527a63e2cf0c04811994aa4416070a464fd16e6ab978f48
+size 231009
diff --git a/results/test/ellipse/problem_1991.png b/results/test/ellipse/problem_1991.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8d0da6523d564fa3b4b1bb8e0758ab8a3749150
--- /dev/null
+++ b/results/test/ellipse/problem_1991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a492138912d9b57970f328a2b9137b5020087a3be36c9669989fd0ac71a2ecf6
+size 220179
diff --git a/results/test/ellipse/problem_1997.png b/results/test/ellipse/problem_1997.png
new file mode 100644
index 0000000000000000000000000000000000000000..67eb39d0b9e911a54acd2ce8e908ea7e617576fe
--- /dev/null
+++ b/results/test/ellipse/problem_1997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f334d28a3ddf0387119643f1b64c966fd40011b35a563f8fd71e285722de321
+size 221080
diff --git a/results/test/ellipse/problem_1998.png b/results/test/ellipse/problem_1998.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecc31392ba08ed5c477c8144da908bac28445d9b
--- /dev/null
+++ b/results/test/ellipse/problem_1998.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcd931244a7d667543508ebdcf06b940b6313e944c08b5362e3d803c0db03b5e
+size 212737
diff --git a/results/test/ellipse/problem_1999.png b/results/test/ellipse/problem_1999.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4c62e30d60b3a7775595a0a9a315ad285a2dd50
--- /dev/null
+++ b/results/test/ellipse/problem_1999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:842ad6d5abe83ba168c3d5444efb1ad635b5df4e93feaaf42be362fd5f8c31d0
+size 226181
diff --git a/results/test/ellipse/problem_2000.png b/results/test/ellipse/problem_2000.png
new file mode 100644
index 0000000000000000000000000000000000000000..01075378441122e862a3874352901cc0523b55db
--- /dev/null
+++ b/results/test/ellipse/problem_2000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae129e1de0df766b8ed1eab3ff8f130a51053d6cc2be57a0700da9f494db1112
+size 230149
diff --git a/results/test/ellipse/problem_2005.png b/results/test/ellipse/problem_2005.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0c3b2c97a001bfce2d276af462cb316b45407a8
--- /dev/null
+++ b/results/test/ellipse/problem_2005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6409009bdf583363c8bdff9b4383d41127479fb11190060948c645f2d54c2d4
+size 225578
diff --git a/results/test/ellipse/problem_2006.png b/results/test/ellipse/problem_2006.png
new file mode 100644
index 0000000000000000000000000000000000000000..61253d06ea907495a39156b43483ac486db6ae85
--- /dev/null
+++ b/results/test/ellipse/problem_2006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7054ee7573c38ec45f997a1165ff3808e542d9126d6f73cb01ae1884aa4e8ec5
+size 226732
diff --git a/results/test/ellipse/problem_2010.png b/results/test/ellipse/problem_2010.png
new file mode 100644
index 0000000000000000000000000000000000000000..68dbcc067f982761f5f62315f1d93242940b1ad1
--- /dev/null
+++ b/results/test/ellipse/problem_2010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e210c3861b9c4d65d9d2b08cb4d1480d10bb4cac3895bd6b612b27236acc307
+size 215932
diff --git a/results/test/ellipse/problem_2011.png b/results/test/ellipse/problem_2011.png
new file mode 100644
index 0000000000000000000000000000000000000000..40e7ba5117b8983ea722e9399ddb61839c59e764
--- /dev/null
+++ b/results/test/ellipse/problem_2011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:644e24fe5c6aa7d8f5b286c97fe38e8e2582c637b0cbba7e3455109edb1c7315
+size 238165
diff --git a/results/test/ellipse/problem_2016.png b/results/test/ellipse/problem_2016.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e9f0ffe3be50b7e3d6299f9b5594c955357d4aa
--- /dev/null
+++ b/results/test/ellipse/problem_2016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc482735ed974b7ad67b4c5714820ad33356afcb14b1098f1c0cbd62f2e298cf
+size 221400
diff --git a/results/test/ellipse/problem_2020.png b/results/test/ellipse/problem_2020.png
new file mode 100644
index 0000000000000000000000000000000000000000..c568aea72a7f7d068e58da7d6e3e4160e12132b6
--- /dev/null
+++ b/results/test/ellipse/problem_2020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8040596dba4696c5a0e848f5af96f7c7552b0ca4da279a441acb2346c0d4c616
+size 231666
diff --git a/results/test/ellipse/problem_2021.png b/results/test/ellipse/problem_2021.png
new file mode 100644
index 0000000000000000000000000000000000000000..32091236834d5c853a432bfb40ad03321d3cfc54
--- /dev/null
+++ b/results/test/ellipse/problem_2021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c45f7e92f644ff29c789365d6f31aa3112a5b250e621c42151e6e7c4f6a2301
+size 220106
diff --git a/results/test/ellipse/problem_2026.png b/results/test/ellipse/problem_2026.png
new file mode 100644
index 0000000000000000000000000000000000000000..56deb41abea443c9db7cde400376c97513c8d0b8
--- /dev/null
+++ b/results/test/ellipse/problem_2026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3261b36d6a01f7c73b5572d774b6f3c5dbfad88b2eedcb7d3a8086e9be16fcf6
+size 212049
diff --git a/results/test/ellipse/problem_2028.png b/results/test/ellipse/problem_2028.png
new file mode 100644
index 0000000000000000000000000000000000000000..79547349596b799f922ec3726c11c87d3d0e9f88
--- /dev/null
+++ b/results/test/ellipse/problem_2028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49f27795744bb0df58b4eabf61931e5bbc67bceb4e6ca29965d8b2472e7c952d
+size 195301
diff --git a/results/test/ellipse/problem_2031.png b/results/test/ellipse/problem_2031.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1473d0c06479cc5f1ca4d920c45918aa1990748
--- /dev/null
+++ b/results/test/ellipse/problem_2031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e8e8eb812c90f4259f5b091d90b3bc5b500da46a89b4c9fe7803343f62e3f78
+size 244773
diff --git a/results/test/ellipse/problem_2033.png b/results/test/ellipse/problem_2033.png
new file mode 100644
index 0000000000000000000000000000000000000000..95eaab028c57eb9de5ebdd8d7044079439c24c6b
--- /dev/null
+++ b/results/test/ellipse/problem_2033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5943fa4ff48a817be7cab75ccb09ad232f04e3169057f8829d6aa7380050d1e6
+size 190882
diff --git a/results/test/ellipse/problem_2043.png b/results/test/ellipse/problem_2043.png
new file mode 100644
index 0000000000000000000000000000000000000000..2164592f8c7db9b4347370bc54bd5a0d77714953
--- /dev/null
+++ b/results/test/ellipse/problem_2043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6dece47cc7de4d10502d580693908c99279de8eb51e7eaf31a40c510db13ca28
+size 225142
diff --git a/results/test/ellipse/problem_2052.png b/results/test/ellipse/problem_2052.png
new file mode 100644
index 0000000000000000000000000000000000000000..e614fcdcc293d743b29bc16577f70a48484d8b0d
--- /dev/null
+++ b/results/test/ellipse/problem_2052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54c78fd4134b957a39dcc29f53834fcfadbe27e136f736cd5308d36cd9347c76
+size 214311
diff --git a/results/test/ellipse/problem_2054.png b/results/test/ellipse/problem_2054.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbd5353c11d51e583e1aa8bccd777581079908f4
--- /dev/null
+++ b/results/test/ellipse/problem_2054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d44e0acb7e3170aa468108d8b46ac1e1809487a2301316ac384976883532fb70
+size 224218
diff --git a/results/test/ellipse/problem_2059.png b/results/test/ellipse/problem_2059.png
new file mode 100644
index 0000000000000000000000000000000000000000..a10fb7e66b82a9389eaf2d59c5fad0a3597264fe
--- /dev/null
+++ b/results/test/ellipse/problem_2059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d133fae087a8062e9dcc6cfd9dc377b56d3fc2952ee5dbac786a5eed1ae2cf90
+size 223584
diff --git a/results/test/ellipse/problem_2063.png b/results/test/ellipse/problem_2063.png
new file mode 100644
index 0000000000000000000000000000000000000000..37793eeeb13ede44c6f3d3d1ac09072fbb4b70db
--- /dev/null
+++ b/results/test/ellipse/problem_2063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f12a37f4233534dce0b2ef6bf9061633cfad9efe9415569bf903c9665e9db93b
+size 210853
diff --git a/results/test/ellipse/problem_2067.png b/results/test/ellipse/problem_2067.png
new file mode 100644
index 0000000000000000000000000000000000000000..28f5d7615333c804f3da447dbeba10a833b66f65
--- /dev/null
+++ b/results/test/ellipse/problem_2067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a10513192da382ef8f5aaa8241d2d7967eb5203b2fb0d07de6eb2b45e01623b
+size 217911
diff --git a/results/test/hyperbola/problem_0000.png b/results/test/hyperbola/problem_0000.png
new file mode 100644
index 0000000000000000000000000000000000000000..2be9d3854a95edf37c55fd32d50489f01ac72290
--- /dev/null
+++ b/results/test/hyperbola/problem_0000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8d6f1e03aebbe51ed535d9c7c47a63bfef37322ea0b94a74884987c6cc2e368
+size 283656
diff --git a/results/test/hyperbola/problem_0003.png b/results/test/hyperbola/problem_0003.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cf0a0555426023d300aff7c0ad2e68ca0fbc11c
--- /dev/null
+++ b/results/test/hyperbola/problem_0003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:909b783f306dea9118c08e018ab2cd12d68ea3ec53231ea0094de6971928bdd6
+size 251766
diff --git a/results/test/hyperbola/problem_0005.png b/results/test/hyperbola/problem_0005.png
new file mode 100644
index 0000000000000000000000000000000000000000..36aa0c8763bf057dab8c9b637984d323bed767d6
--- /dev/null
+++ b/results/test/hyperbola/problem_0005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ead4c28728a37dde9533e1b3e7c900930ab80cce614ccc588ae656af50cde624
+size 257908
diff --git a/results/test/hyperbola/problem_0007.png b/results/test/hyperbola/problem_0007.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c9652ca36f528becf49068249b61f4a71d62dce
--- /dev/null
+++ b/results/test/hyperbola/problem_0007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f827ee3c56cc006dbddc3c2757d665f70923404a4699cd2cf7ed7689b893a97
+size 295250
diff --git a/results/test/hyperbola/problem_0016.png b/results/test/hyperbola/problem_0016.png
new file mode 100644
index 0000000000000000000000000000000000000000..661adcd7daa0e902142224de3493fe1e36cb578a
--- /dev/null
+++ b/results/test/hyperbola/problem_0016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:239d4d37eae6dd30243ff2348178bda92dfe4632c15643d0a670fb22311f3171
+size 271737
diff --git a/results/test/hyperbola/problem_0028.png b/results/test/hyperbola/problem_0028.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1d1d5d54349da0dfb767deee52545427b4cbb66
--- /dev/null
+++ b/results/test/hyperbola/problem_0028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95168e749053c5b664eee022ff1fbbf6a7fc892a3219371d4708a7f7af3be415
+size 296577
diff --git a/results/test/hyperbola/problem_0030.png b/results/test/hyperbola/problem_0030.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f7d601212bf3dd951c934c23fa6ef0e61722026
--- /dev/null
+++ b/results/test/hyperbola/problem_0030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19da37b3931900b3566506c7c0ab1e3c9b41023b27fa2b8ab30bd186ef80dc2c
+size 289556
diff --git a/results/test/hyperbola/problem_0032.png b/results/test/hyperbola/problem_0032.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa276754d374898613c74856b229ddeae1257528
--- /dev/null
+++ b/results/test/hyperbola/problem_0032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28a030e32032e77e3cbb5f3ba422033aa2eb325a4f3850c2374f2fc02a5fc703
+size 231060
diff --git a/results/test/hyperbola/problem_0033.png b/results/test/hyperbola/problem_0033.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d1aef0eae7adcc120b4da02693fcb7f126df786
--- /dev/null
+++ b/results/test/hyperbola/problem_0033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34ad78ec0eb0ca3ac547b103b03b039949b89caaaa6383f79108a027d9a984a1
+size 231561
diff --git a/results/test/hyperbola/problem_0037.png b/results/test/hyperbola/problem_0037.png
new file mode 100644
index 0000000000000000000000000000000000000000..01d3c3ebdb3d929810195ead57d30aaa4fed2078
--- /dev/null
+++ b/results/test/hyperbola/problem_0037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba400eeb07dda21165beebd62abb55105fd7a66d33a780b4c754ee69035c7d11
+size 259881
diff --git a/results/test/hyperbola/problem_0038.png b/results/test/hyperbola/problem_0038.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab6ce432bf44f853bfd4564fc59d36a419f3c3f8
--- /dev/null
+++ b/results/test/hyperbola/problem_0038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f4705794c423d160f8ac96c9a91c57af52597179062e0a02d031d2afb1bda61
+size 261712
diff --git a/results/test/hyperbola/problem_0039.png b/results/test/hyperbola/problem_0039.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e899a35a840a11e368a2ad36a039945c2f016b1
--- /dev/null
+++ b/results/test/hyperbola/problem_0039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ee8d1f882c156f35ad01a27c2008ae6b04c6ed29e47e5a07f1efb1b5d97921
+size 272931
diff --git a/results/test/hyperbola/problem_0040.png b/results/test/hyperbola/problem_0040.png
new file mode 100644
index 0000000000000000000000000000000000000000..475c8919ccd7c736ed4a81d4b8ece23b842da541
--- /dev/null
+++ b/results/test/hyperbola/problem_0040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:512f804decb1b1a13dc323b0663c1c6dcc4086ed0754793f415e23c3d51544a1
+size 258875
diff --git a/results/test/hyperbola/problem_0043.png b/results/test/hyperbola/problem_0043.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cc88e14f56f29f5d48f67c272b951fdadad626b
--- /dev/null
+++ b/results/test/hyperbola/problem_0043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4498dedd38e3e0d1855a6253e9c089850cd63a71a9d0cd999a4caf1f2d9d9ab8
+size 271844
diff --git a/results/test/hyperbola/problem_0045.png b/results/test/hyperbola/problem_0045.png
new file mode 100644
index 0000000000000000000000000000000000000000..57c0208a6ec6e3bf4cd8cf1281807a88af97f371
--- /dev/null
+++ b/results/test/hyperbola/problem_0045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac9ddd2dfc6980fa3e0a7934957a00160172c973903c7c7d7ec1877d7df25382
+size 264718
diff --git a/results/test/hyperbola/problem_0053.png b/results/test/hyperbola/problem_0053.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae1384480d316ccd47cde9198aec4e4717b0e3c1
--- /dev/null
+++ b/results/test/hyperbola/problem_0053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:129878a3e07483d161d0bd0b4c0ebfb7752ef1ef92c3fe03601bb850f2fe3a71
+size 278810
diff --git a/results/test/hyperbola/problem_0062.png b/results/test/hyperbola/problem_0062.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c1b8547d4e09662f666a60ab33b9eff3a6484dc
--- /dev/null
+++ b/results/test/hyperbola/problem_0062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d03d4af71e5e7f15cb4d3696f7e290c3ddfe47fe3d05fa4c6b2f5d72dc0998e2
+size 241719
diff --git a/results/test/hyperbola/problem_0063.png b/results/test/hyperbola/problem_0063.png
new file mode 100644
index 0000000000000000000000000000000000000000..1638e5c3d3999d14fbd761ef1015e73d4f6c6810
--- /dev/null
+++ b/results/test/hyperbola/problem_0063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5123b2e12309618c35915097e5efdb75963ff0fe56b83cf3e8d3a53167812041
+size 265610
diff --git a/results/test/hyperbola/problem_0066.png b/results/test/hyperbola/problem_0066.png
new file mode 100644
index 0000000000000000000000000000000000000000..4354e52c2d5f1b5dae1dc0d2906022031fafe1db
--- /dev/null
+++ b/results/test/hyperbola/problem_0066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffb44925e32b979d1fcf88f81e8f50017b38b056a68b0e129e5cc6677d5af86d
+size 251241
diff --git a/results/test/hyperbola/problem_0069.png b/results/test/hyperbola/problem_0069.png
new file mode 100644
index 0000000000000000000000000000000000000000..af47f45898d36950a308aeb207082a9327fe0d81
--- /dev/null
+++ b/results/test/hyperbola/problem_0069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bbad208856770bb1d02aa625c9b66ff3898db40db453d6f0c2158bbc2b96489
+size 286130
diff --git a/results/test/hyperbola/problem_0072.png b/results/test/hyperbola/problem_0072.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cd540290b75f27dddad636f7e6674709d154465
--- /dev/null
+++ b/results/test/hyperbola/problem_0072.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8e481fd9f5047db93d7a4ab72bccefe4c32f164afc2badb24a411216c4524bf
+size 273160
diff --git a/results/test/hyperbola/problem_0073.png b/results/test/hyperbola/problem_0073.png
new file mode 100644
index 0000000000000000000000000000000000000000..0db29cbdd598f112a85e905a7226b3283b8b2870
--- /dev/null
+++ b/results/test/hyperbola/problem_0073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:315871b616a51a2dc551a86db037e7496eee75e8d9807b18b7ec3c0b0ae463b0
+size 260819
diff --git a/results/test/hyperbola/problem_0075.png b/results/test/hyperbola/problem_0075.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0fb2bcfe1d9c2b0d11a05f85de7a1981fc5962f
--- /dev/null
+++ b/results/test/hyperbola/problem_0075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed4e56191a21539b8d19fdc71fedd6f9f3af2b47a9add7ca5a75b121ac4abfec
+size 263187
diff --git a/results/test/hyperbola/problem_0076.png b/results/test/hyperbola/problem_0076.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4a06f33749480ea4f3e7693872869e8b851b344
--- /dev/null
+++ b/results/test/hyperbola/problem_0076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:281553f8f2ab9219543408a169de45d4d515c23ad31eda1943ce4706c4a83a76
+size 270878
diff --git a/results/test/hyperbola/problem_0078.png b/results/test/hyperbola/problem_0078.png
new file mode 100644
index 0000000000000000000000000000000000000000..32df8c84073668b6f17c9253ba64400cbfd030b8
--- /dev/null
+++ b/results/test/hyperbola/problem_0078.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf580016966c252d3d87e4b9268f8c613cb91bc3b65dfb00f5f25270f2ddffca
+size 267727
diff --git a/results/test/hyperbola/problem_0079.png b/results/test/hyperbola/problem_0079.png
new file mode 100644
index 0000000000000000000000000000000000000000..bea48958103f576a845a8e3bc3ea456544329921
--- /dev/null
+++ b/results/test/hyperbola/problem_0079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3dc08889f3f6d418bd9b36252656950e31a8c17b27d63c1b6f9e45593b9e3185
+size 273663
diff --git a/results/test/hyperbola/problem_0080.png b/results/test/hyperbola/problem_0080.png
new file mode 100644
index 0000000000000000000000000000000000000000..870565eae7948c7352ebd9a258da6df4fd992c09
--- /dev/null
+++ b/results/test/hyperbola/problem_0080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:328373ffe5da45b1cc353b35b0e8f6cf26f8d2aaff838e0f2b6945f3680e0cbe
+size 266849
diff --git a/results/test/hyperbola/problem_0084.png b/results/test/hyperbola/problem_0084.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e9dc2d64e0f7a32766c35a7c178f04a1ea201c4
--- /dev/null
+++ b/results/test/hyperbola/problem_0084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d15d54211895364e7e08786a77d1cd2a84c68caad51684a58c15e26b321b8e05
+size 259960
diff --git a/results/test/hyperbola/problem_0085.png b/results/test/hyperbola/problem_0085.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbc960c765d0ae04e98c7e2d767dd9ba9eb55c02
--- /dev/null
+++ b/results/test/hyperbola/problem_0085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b93531adb0089ff6b59594a06d732cfff9af92cbb78f8ed974177f900e73e9f0
+size 278903
diff --git a/results/test/hyperbola/problem_0089.png b/results/test/hyperbola/problem_0089.png
new file mode 100644
index 0000000000000000000000000000000000000000..f109d73596231ce56f9902a734181ba82654808c
--- /dev/null
+++ b/results/test/hyperbola/problem_0089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72025f44a5b712d315ed99aa6fcc7f90f4db1d718d8e16bed70dcff10cfe56d5
+size 257445
diff --git a/results/test/hyperbola/problem_0093.png b/results/test/hyperbola/problem_0093.png
new file mode 100644
index 0000000000000000000000000000000000000000..92c6bcf16cfbd21a75f2092133c4b33e9b89b1f9
--- /dev/null
+++ b/results/test/hyperbola/problem_0093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c26958e4306b49e09ea4366f4558c28ed32f634459085e25420c39e8f0e39609
+size 273422
diff --git a/results/test/hyperbola/problem_0097.png b/results/test/hyperbola/problem_0097.png
new file mode 100644
index 0000000000000000000000000000000000000000..13cf6e5c9fbd89a69d9adc16adeab13f71313be4
--- /dev/null
+++ b/results/test/hyperbola/problem_0097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5391887280051e419c435f0f0695ff80ef93c3932dd88e58f90569ec639c30b8
+size 271805
diff --git a/results/test/hyperbola/problem_0098.png b/results/test/hyperbola/problem_0098.png
new file mode 100644
index 0000000000000000000000000000000000000000..e876b1fbfec839786fa0e203bd0be255f9d143f1
--- /dev/null
+++ b/results/test/hyperbola/problem_0098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:312eae063464185c5ce29df2763f766661f0651fed48158959d834d9acf72314
+size 246113
diff --git a/results/test/hyperbola/problem_0099.png b/results/test/hyperbola/problem_0099.png
new file mode 100644
index 0000000000000000000000000000000000000000..b172af4acb88e772edb10be2f5c49ef0a06221bd
--- /dev/null
+++ b/results/test/hyperbola/problem_0099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b76ca466c98c59278adb93c994de794920b1fd0efe4662529cdd64f8ad15ce7
+size 262528
diff --git a/results/test/hyperbola/problem_0103.png b/results/test/hyperbola/problem_0103.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0669236c3ab38565ab31fde27824583ac102ebe
--- /dev/null
+++ b/results/test/hyperbola/problem_0103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bec8a0e7ecb494cca61bb3e468572d45bab16607487c78d3b6599430b327325
+size 257213
diff --git a/results/test/hyperbola/problem_0108.png b/results/test/hyperbola/problem_0108.png
new file mode 100644
index 0000000000000000000000000000000000000000..538439a54d399d544a44ab1d4adc5c0be51b69cc
--- /dev/null
+++ b/results/test/hyperbola/problem_0108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:136b319f6b8a0e7ddb3ab0d9dfacd0113092b39b92657363b7a5fc74454069a3
+size 274902
diff --git a/results/test/hyperbola/problem_0111.png b/results/test/hyperbola/problem_0111.png
new file mode 100644
index 0000000000000000000000000000000000000000..9517af7d482bd4027a880e84fceca738190f9d88
--- /dev/null
+++ b/results/test/hyperbola/problem_0111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:314051dc9d1c8237233fe250e7cad86cb9830afbb2a8439eaaeeca08dd6c249b
+size 236355
diff --git a/results/test/hyperbola/problem_0113.png b/results/test/hyperbola/problem_0113.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a3a552353eb90d0996921e556a3cc106018fd77
--- /dev/null
+++ b/results/test/hyperbola/problem_0113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47d7c7f56505deb68404ebf4185172ad8cfe8d6b18ac37f48bb7836f973542c5
+size 270645
diff --git a/results/test/hyperbola/problem_0115.png b/results/test/hyperbola/problem_0115.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f83d6edbb00cfff3283158eefdabaeca0ac99be
--- /dev/null
+++ b/results/test/hyperbola/problem_0115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2aff02d7b8086150705fb33cf2a473615324e15eec7554100c5510df7c6bbc63
+size 269412
diff --git a/results/test/hyperbola/problem_0118.png b/results/test/hyperbola/problem_0118.png
new file mode 100644
index 0000000000000000000000000000000000000000..599b97c58b66184620393bd860c6f0dfd1b87deb
--- /dev/null
+++ b/results/test/hyperbola/problem_0118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:736d6cfc55aab133c44913836dfc80956adf8e8e846a798fccaa8488b9142d1b
+size 264127
diff --git a/results/test/hyperbola/problem_0129.png b/results/test/hyperbola/problem_0129.png
new file mode 100644
index 0000000000000000000000000000000000000000..64754031e5c522cad08f897a3674f3585c144bc8
--- /dev/null
+++ b/results/test/hyperbola/problem_0129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58c4ef936834e4cbe7867d67ba09fbfdfbaff1c632e8797eb5948aba61f4c0bd
+size 249678
diff --git a/results/test/hyperbola/problem_0132.png b/results/test/hyperbola/problem_0132.png
new file mode 100644
index 0000000000000000000000000000000000000000..09252a0cb96515602dc57c8b8bf1a55a2532ec1c
--- /dev/null
+++ b/results/test/hyperbola/problem_0132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:271257a844c3ee195e8d069039f9ad3f334f4593401a10600a2383916f72bea4
+size 236275
diff --git a/results/test/hyperbola/problem_0141.png b/results/test/hyperbola/problem_0141.png
new file mode 100644
index 0000000000000000000000000000000000000000..698f14bfaec92df17b4619648a90e41214e96ad1
--- /dev/null
+++ b/results/test/hyperbola/problem_0141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53c750732b8dccafec706fce44985b195f4d0846222c235a0a52e4fc6a390430
+size 262960
diff --git a/results/test/hyperbola/problem_0145.png b/results/test/hyperbola/problem_0145.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bdd7d9ec05944e4da4cca3cbc5cbb934ec7bd60
--- /dev/null
+++ b/results/test/hyperbola/problem_0145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4dbc36f84e0b3aeafa45d3c1cd76653a8f4783aede2b5cf07cd972d672c7fec
+size 282538
diff --git a/results/test/hyperbola/problem_0146.png b/results/test/hyperbola/problem_0146.png
new file mode 100644
index 0000000000000000000000000000000000000000..c75d508ff96b0cfb9fc50bfd7a44a607110d4c72
--- /dev/null
+++ b/results/test/hyperbola/problem_0146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48e630e10776a030d4b77fd56ab83b4c3f3cd9450aef8c813132257a7046614c
+size 229207
diff --git a/results/test/hyperbola/problem_0155.png b/results/test/hyperbola/problem_0155.png
new file mode 100644
index 0000000000000000000000000000000000000000..3263e414846e692ac82fbcfaea0873d9fab47781
--- /dev/null
+++ b/results/test/hyperbola/problem_0155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:174ceb1f1f25ec79bef0e38ce6bd600645a7826418158dc2b3af8bd545a731ab
+size 266541
diff --git a/results/test/hyperbola/problem_0158.png b/results/test/hyperbola/problem_0158.png
new file mode 100644
index 0000000000000000000000000000000000000000..b47f30eedc245b7aabd52122b7b4682afdfe4fc3
--- /dev/null
+++ b/results/test/hyperbola/problem_0158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0315431cd4a9c8bde1b08ad674f507b98b16e1e99aa58e9236ec1e47cc651f48
+size 264796
diff --git a/results/test/hyperbola/problem_0161.png b/results/test/hyperbola/problem_0161.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e82b8c269720ca3e029cb0b5a74da39f7f04292
--- /dev/null
+++ b/results/test/hyperbola/problem_0161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccbe6f1047e69e1a31cdb129c3822f8485a4b83045f708658ec814f1f2da15fa
+size 265752
diff --git a/results/test/hyperbola/problem_0162.png b/results/test/hyperbola/problem_0162.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a50c26585241b884167e18ff93e83e9ef53c6ef
--- /dev/null
+++ b/results/test/hyperbola/problem_0162.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7e6c116da6b727c2589a4e5c0f3c00c1ad563ccc4c22b25d5107dc2f1d6d33a
+size 238852
diff --git a/results/test/hyperbola/problem_0163.png b/results/test/hyperbola/problem_0163.png
new file mode 100644
index 0000000000000000000000000000000000000000..38ecd7f38b36d9d962a287b5886de7ffccc35818
--- /dev/null
+++ b/results/test/hyperbola/problem_0163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ba80c7ec2d548d797b082ac4bbc1283a7420d5716978f784514a92abd50418d
+size 262831
diff --git a/results/test/hyperbola/problem_0167.png b/results/test/hyperbola/problem_0167.png
new file mode 100644
index 0000000000000000000000000000000000000000..6be2f95aa540f13ae65601b5709050a0eacb23aa
--- /dev/null
+++ b/results/test/hyperbola/problem_0167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:796a37d5705d9724517f497d478b144093c7bf1715db9252a62135c7b5f7907a
+size 269264
diff --git a/results/test/hyperbola/problem_0171.png b/results/test/hyperbola/problem_0171.png
new file mode 100644
index 0000000000000000000000000000000000000000..540d20d562ec61c2c7cb5bce707c8148d69f8a5a
--- /dev/null
+++ b/results/test/hyperbola/problem_0171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e99533820ecbeb0336e34afd97a9cd2d2a9aebb958d2bcd81f8154349df12a81
+size 265019
diff --git a/results/test/hyperbola/problem_0174.png b/results/test/hyperbola/problem_0174.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b29e482511dff60afb524fbfa0a4ad6d2189ed1
--- /dev/null
+++ b/results/test/hyperbola/problem_0174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71c35286c4da7dec74e045c3c37f805083dbdd83e38cecba52dd9206e092160e
+size 239626
diff --git a/results/test/hyperbola/problem_0176.png b/results/test/hyperbola/problem_0176.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e0b17614497d5c0d34942dbfaecd9805797626f
--- /dev/null
+++ b/results/test/hyperbola/problem_0176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5c4f9695fd3bb7da235b27a35cca5c71837b0c4557bc970e48b64dd0d5c9748
+size 260689
diff --git a/results/test/hyperbola/problem_0178.png b/results/test/hyperbola/problem_0178.png
new file mode 100644
index 0000000000000000000000000000000000000000..da65d59338e04b3dc4f56653e1cbb053a64da4de
--- /dev/null
+++ b/results/test/hyperbola/problem_0178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ab997638460f748386ef2445b33992323b8919992e4ef9a627f469b936a983c
+size 235108
diff --git a/results/test/hyperbola/problem_0180.png b/results/test/hyperbola/problem_0180.png
new file mode 100644
index 0000000000000000000000000000000000000000..33545ddb95e8f0e069d46c9908730b81b548efcc
--- /dev/null
+++ b/results/test/hyperbola/problem_0180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64a1c9ea903410a96d964870c177fe2282d0cdc642370dbe237daf280f2a42cb
+size 259716
diff --git a/results/test/hyperbola/problem_0182.png b/results/test/hyperbola/problem_0182.png
new file mode 100644
index 0000000000000000000000000000000000000000..d217e85070924e18761bdc65d7182fe6a684a689
--- /dev/null
+++ b/results/test/hyperbola/problem_0182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9ad6a5876da56a086f48ea4a25da31b743e907ddca9c79b3ba324b55703f34d
+size 245634
diff --git a/results/test/hyperbola/problem_0184.png b/results/test/hyperbola/problem_0184.png
new file mode 100644
index 0000000000000000000000000000000000000000..a94b08b5902b90f334ad045225706180241de590
--- /dev/null
+++ b/results/test/hyperbola/problem_0184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cdd3d495d41ea89d2a995b806d48a69372a71e4466797819a600b51254382142
+size 259622
diff --git a/results/test/hyperbola/problem_0185.png b/results/test/hyperbola/problem_0185.png
new file mode 100644
index 0000000000000000000000000000000000000000..d513b6e2e883f31a577e61ae939397b4441f197e
--- /dev/null
+++ b/results/test/hyperbola/problem_0185.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94008604e22822d5ebb50adcf20119202da28b47fac99c4b057a23f908b94ab1
+size 242899
diff --git a/results/test/hyperbola/problem_0187.png b/results/test/hyperbola/problem_0187.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a0ad20c2568f9ea59ababd0387c41b54c171fe4
--- /dev/null
+++ b/results/test/hyperbola/problem_0187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af8ac0480a6de1cc86f76743ee689b87cbb3567310b27f338943ce479c8319e6
+size 266974
diff --git a/results/test/hyperbola/problem_0192.png b/results/test/hyperbola/problem_0192.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f1e4b3c291ecee96e8cb293389c066294e55b01
--- /dev/null
+++ b/results/test/hyperbola/problem_0192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:791dc52b51814fab71814721195d8f6e6f2ad6c4ac654d851426e3537c579cfb
+size 266575
diff --git a/results/test/hyperbola/problem_0194.png b/results/test/hyperbola/problem_0194.png
new file mode 100644
index 0000000000000000000000000000000000000000..a239cc9770ce01b6fad95439aa04b58a7155b120
--- /dev/null
+++ b/results/test/hyperbola/problem_0194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b83b8997450d0b051604d59e0fec72fd4ec7218d8fd5ba097868d1a0e04fd9bc
+size 271559
diff --git a/results/test/hyperbola/problem_0203.png b/results/test/hyperbola/problem_0203.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ce546a163ffe183675a5ee42b27845cf1c8bbf6
--- /dev/null
+++ b/results/test/hyperbola/problem_0203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:738ea2621046f1ed801a00229e9887cecae27e3d7fa60000c8a287f23646fa1d
+size 265436
diff --git a/results/test/hyperbola/problem_0205.png b/results/test/hyperbola/problem_0205.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c0db402333f3b6fc43307c69596ba718478d847
--- /dev/null
+++ b/results/test/hyperbola/problem_0205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d08dcd1a335fea463d79ab5e03d486d1035254aead9ed61b0c6be827fed3877
+size 260102
diff --git a/results/test/hyperbola/problem_0212.png b/results/test/hyperbola/problem_0212.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fa13752140a51884c6f4cebb5bb4754fb7135e1
--- /dev/null
+++ b/results/test/hyperbola/problem_0212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f15a62e90976b41a129fe1f184a1edcad6eb33d5f855264f320f3677fdbaf16a
+size 270454
diff --git a/results/test/hyperbola/problem_0221.png b/results/test/hyperbola/problem_0221.png
new file mode 100644
index 0000000000000000000000000000000000000000..c86f4ea3f18069ef4a0bd3f4bd69b26b9989288d
--- /dev/null
+++ b/results/test/hyperbola/problem_0221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d8fd61df44c84cff2205bc980fb9d511a759d2080132a22fe03a318a3db9202
+size 268757
diff --git a/results/test/hyperbola/problem_0222.png b/results/test/hyperbola/problem_0222.png
new file mode 100644
index 0000000000000000000000000000000000000000..018c6655d47c401c8767ae6e501fc0fb45dabc1d
--- /dev/null
+++ b/results/test/hyperbola/problem_0222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fa7580ec8a782d4641eed02e3f2596571ca929849c8c9c0e695e4b7067b94a8
+size 268248
diff --git a/results/test/hyperbola/problem_0224.png b/results/test/hyperbola/problem_0224.png
new file mode 100644
index 0000000000000000000000000000000000000000..4773103531d4638c6d99432e59faaf0c86340d32
--- /dev/null
+++ b/results/test/hyperbola/problem_0224.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:611f67ab719a77bae3fb6d5e08e302080682a9ceee81d0fe7b4ecc4580d52c4d
+size 233224
diff --git a/results/test/hyperbola/problem_0225.png b/results/test/hyperbola/problem_0225.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab021a5c680b24b1bbca70d9a04f8eaea247ed5f
--- /dev/null
+++ b/results/test/hyperbola/problem_0225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed80bbba1dabe80db0e7d91266d43239059c7902e0f4d1c5292d7ff19bd59a9d
+size 274485
diff --git a/results/test/hyperbola/problem_0228.png b/results/test/hyperbola/problem_0228.png
new file mode 100644
index 0000000000000000000000000000000000000000..42a872ca526dbce13486a05e1af35af53a618f28
--- /dev/null
+++ b/results/test/hyperbola/problem_0228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a086ae80db4971c1f36147a65b8304dce8f1840cc12ce111a83a59ea22c4b4b3
+size 258632
diff --git a/results/test/hyperbola/problem_0244.png b/results/test/hyperbola/problem_0244.png
new file mode 100644
index 0000000000000000000000000000000000000000..c26734d713c28473ade66dfee17bdfe90d771974
--- /dev/null
+++ b/results/test/hyperbola/problem_0244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b081779bda77d78ba9da975bbdfe14a9f2adfd9bb08134ef05892fcbe382217c
+size 234836
diff --git a/results/test/hyperbola/problem_0245.png b/results/test/hyperbola/problem_0245.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0315e16146ddf994c0538263c66f647c8bc4715
--- /dev/null
+++ b/results/test/hyperbola/problem_0245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:691c8b9208f17242c28d49cab3342e138f743f7c5f5dbdd8582ef315aa0ebb9d
+size 270154
diff --git a/results/test/hyperbola/problem_0263.png b/results/test/hyperbola/problem_0263.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1b586960be388960b153ff2b7a34a0faa452542
--- /dev/null
+++ b/results/test/hyperbola/problem_0263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cec0a1cd5503d99189433458458c52a20704d2dddf953e7694ec666e0e7038cc
+size 268714
diff --git a/results/test/hyperbola/problem_0264.png b/results/test/hyperbola/problem_0264.png
new file mode 100644
index 0000000000000000000000000000000000000000..4da5376dedf8993e0cb91c7e5dc77b2ee0d3a639
--- /dev/null
+++ b/results/test/hyperbola/problem_0264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33a50ac855f2e5ab8eac1cbaa278e14f4a5387c24b3f3537f2eb9bf32b266ec6
+size 242456
diff --git a/results/test/hyperbola/problem_0265.png b/results/test/hyperbola/problem_0265.png
new file mode 100644
index 0000000000000000000000000000000000000000..930d69353cc20d75d2591dea6a1e62e6a9b3f002
--- /dev/null
+++ b/results/test/hyperbola/problem_0265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d24f017ce9eb61ed620135be47aa54ed5f31f07a42b777b6cad27c377b2d1579
+size 256839
diff --git a/results/test/hyperbola/problem_0266.png b/results/test/hyperbola/problem_0266.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6bd1eeb0a16b53acca15ddce1e2a9a0f87551c9
--- /dev/null
+++ b/results/test/hyperbola/problem_0266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70109f4fb2932bfefe3859c49d59f899c2a2614c258270508345e1ab505bbc94
+size 250080
diff --git a/results/test/hyperbola/problem_0274.png b/results/test/hyperbola/problem_0274.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cd3ddc1fb4687d759acd3447ca954c90b939f08
--- /dev/null
+++ b/results/test/hyperbola/problem_0274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62b624ca2a0f1db7e05862ae892445e458cb874750e9439dcab0519904c3d191
+size 278182
diff --git a/results/test/hyperbola/problem_0279.png b/results/test/hyperbola/problem_0279.png
new file mode 100644
index 0000000000000000000000000000000000000000..3577d341974355d3a1714edbba8d8330e98227e8
--- /dev/null
+++ b/results/test/hyperbola/problem_0279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28c2dcf09527a49c24ca0ae646b50df3d1703ad7d79dea88e439850b84a6baee
+size 248510
diff --git a/results/test/hyperbola/problem_0283.png b/results/test/hyperbola/problem_0283.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5be5e548ff09b067adddcace7c9e82341065a3f
--- /dev/null
+++ b/results/test/hyperbola/problem_0283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e1c2cbbea2ac4532f3aebc23dc954768157ccc87582dd3d70bb4e4b21ec1a03
+size 266157
diff --git a/results/test/hyperbola/problem_0292.png b/results/test/hyperbola/problem_0292.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0f872c299b5e3489a98359e493545617b3e93bb
--- /dev/null
+++ b/results/test/hyperbola/problem_0292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:736854585dfe8d3a22dbec8fe7d7148f89c14bcb73f3cb86cc793277d3440838
+size 264089
diff --git a/results/test/hyperbola/problem_0293.png b/results/test/hyperbola/problem_0293.png
new file mode 100644
index 0000000000000000000000000000000000000000..d285357c73c157c782983e6778f13d6f4874eef9
--- /dev/null
+++ b/results/test/hyperbola/problem_0293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35686cd5c19e1d36c5a16b6996394011152480b12aa1b99616326aae4b141c39
+size 231496
diff --git a/results/test/hyperbola/problem_0294.png b/results/test/hyperbola/problem_0294.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ff8444ebe5a58d802b6d8259b2b2243043d14d5
--- /dev/null
+++ b/results/test/hyperbola/problem_0294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e86d6a07d90e3f95aa56aa174a9632b77269cc9f99651ed1cee381d0bfffba8f
+size 263507
diff --git a/results/test/hyperbola/problem_0295.png b/results/test/hyperbola/problem_0295.png
new file mode 100644
index 0000000000000000000000000000000000000000..125cbb275c10039b30ce174ac74807a5f335780f
--- /dev/null
+++ b/results/test/hyperbola/problem_0295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f15ce4f344a120a607287d55ab6281b2f48491ab5ef553d762763eaef3be3848
+size 268113
diff --git a/results/test/hyperbola/problem_0296.png b/results/test/hyperbola/problem_0296.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac338bf16a286272e3a753b146b77170dc7741c4
--- /dev/null
+++ b/results/test/hyperbola/problem_0296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d21fd748947bcb373a634fbe05af4c9642ccb7641d6e74175e450edb5e9a37f9
+size 282780
diff --git a/results/test/hyperbola/problem_0300.png b/results/test/hyperbola/problem_0300.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffd23bf04cf41c1b787184ead752c1a5d0d4faea
--- /dev/null
+++ b/results/test/hyperbola/problem_0300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d62ea11c91c9a74ecb67fff1eabcd1ff2aea1ca67539bcdc23cee959c7f6300
+size 283984
diff --git a/results/test/hyperbola/problem_0301.png b/results/test/hyperbola/problem_0301.png
new file mode 100644
index 0000000000000000000000000000000000000000..ece72e29f3187a64a6ad4cfc3c46fd90fa88be7f
--- /dev/null
+++ b/results/test/hyperbola/problem_0301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28ef5208bf1f5e854494b63991846d1de1b2213440b75f738908a0dfd838c0cd
+size 262775
diff --git a/results/test/hyperbola/problem_0304.png b/results/test/hyperbola/problem_0304.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b006658ec275a1160498714c94c96781c642737
--- /dev/null
+++ b/results/test/hyperbola/problem_0304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b13475219d58e81bbfdcab27ab845ac0ee5ada0498f142229bf0145dda4a7d8a
+size 267649
diff --git a/results/test/hyperbola/problem_0307.png b/results/test/hyperbola/problem_0307.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9b6666d46de343272179dc355aeb1d872ae3b79
--- /dev/null
+++ b/results/test/hyperbola/problem_0307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd9bbdadf509766d2eeeb4ea6fa701ef8b51eeaf7e023c38ae1e20d994618443
+size 256182
diff --git a/results/test/hyperbola/problem_0309.png b/results/test/hyperbola/problem_0309.png
new file mode 100644
index 0000000000000000000000000000000000000000..02a6ae9fb74dca6e04c552bee8eea08e20356a3b
--- /dev/null
+++ b/results/test/hyperbola/problem_0309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9325920b287736d86addcbe1ae5345de076972d4f20820f57b5a2e5e6060ad56
+size 272023
diff --git a/results/test/hyperbola/problem_0313.png b/results/test/hyperbola/problem_0313.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4d754e6abd8163d5bcd8e637711e01f94018e87
--- /dev/null
+++ b/results/test/hyperbola/problem_0313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ec0bf474e8670d559551a9078ac3034117db81392a217d27e864d5112a879fb
+size 259369
diff --git a/results/test/hyperbola/problem_0315.png b/results/test/hyperbola/problem_0315.png
new file mode 100644
index 0000000000000000000000000000000000000000..17733d5cf381758fb2da0c4d5f44afa0e9235125
--- /dev/null
+++ b/results/test/hyperbola/problem_0315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19754f53421043aff74a363dddef885ec34c27d07217b95f0e614f5673b9d9bc
+size 274686
diff --git a/results/test/hyperbola/problem_0320.png b/results/test/hyperbola/problem_0320.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6dc7608cd4404112f561a3e8eed52f165a8463d
--- /dev/null
+++ b/results/test/hyperbola/problem_0320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b319c6b88a88aabe38f5b75b61cb7a76f89ec967ad38b6b30f3f43876741a08
+size 270635
diff --git a/results/test/hyperbola/problem_0322.png b/results/test/hyperbola/problem_0322.png
new file mode 100644
index 0000000000000000000000000000000000000000..998bf0b295f4feb2b0a598cc18b9ac4200eea16b
--- /dev/null
+++ b/results/test/hyperbola/problem_0322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:971cc43c161244a6b36ff8cfe1d7a7bdd423fe7677b3422cfd5265f6af9c9542
+size 225730
diff --git a/results/test/hyperbola/problem_0323.png b/results/test/hyperbola/problem_0323.png
new file mode 100644
index 0000000000000000000000000000000000000000..54dcae3eccdeaaae0d0c8f1c36fd314a56b7bec9
--- /dev/null
+++ b/results/test/hyperbola/problem_0323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a38876aebd00c7a171d320784afc5629d6f785ff2a86911fffcc52d384b9cde
+size 265483
diff --git a/results/test/hyperbola/problem_0324.png b/results/test/hyperbola/problem_0324.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1f52f750c65bae5a5b0bd483ccff3f417eae751
--- /dev/null
+++ b/results/test/hyperbola/problem_0324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39089139bbd18d40ac2d8bcbe6d043fd45324ad94ec12434cb0cdf687858f882
+size 260562
diff --git a/results/test/hyperbola/problem_0328.png b/results/test/hyperbola/problem_0328.png
new file mode 100644
index 0000000000000000000000000000000000000000..58e8e2d106e1fc290d51aee9c650e9685d129a0d
--- /dev/null
+++ b/results/test/hyperbola/problem_0328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ec662f78b1de5e6c3c30c325af8249fe93d94211f56b38c4e7a89290932b1fa
+size 225667
diff --git a/results/test/hyperbola/problem_0329.png b/results/test/hyperbola/problem_0329.png
new file mode 100644
index 0000000000000000000000000000000000000000..c32c1e5ac972f1a885dc30c0722918d3089f1d13
--- /dev/null
+++ b/results/test/hyperbola/problem_0329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f15533bb6d2f1d10133f837d218798f661080d88008fa9cc85988548f025b4f
+size 261116
diff --git a/results/test/hyperbola/problem_0331.png b/results/test/hyperbola/problem_0331.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6518ed56b24a32d3e2cfbc7c3e850744815c79d
--- /dev/null
+++ b/results/test/hyperbola/problem_0331.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aefb9ae2b793d17cacbac9ead470dcad9e0c5b0f65527225c3c6818d02fe0b5b
+size 206375
diff --git a/results/test/hyperbola/problem_0337.png b/results/test/hyperbola/problem_0337.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a697f335a2921d6b0f9f5c996035d98685f9c56
--- /dev/null
+++ b/results/test/hyperbola/problem_0337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ad111fcf651f549ff7ed6a478af761c0771a1b61b1191664f5e3f27bb3fd931
+size 270157
diff --git a/results/test/hyperbola/problem_0338.png b/results/test/hyperbola/problem_0338.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf3fe998c2d204b2485a3f66e3f51c842273d981
--- /dev/null
+++ b/results/test/hyperbola/problem_0338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96b4ef4962df0d437e9b59912986f668cce6ae35d3d957fd5357088e60ed3b40
+size 267505
diff --git a/results/test/hyperbola/problem_0339.png b/results/test/hyperbola/problem_0339.png
new file mode 100644
index 0000000000000000000000000000000000000000..629379ba33dd83ce0518cfcf7a44a6084e478880
--- /dev/null
+++ b/results/test/hyperbola/problem_0339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ad8b8b14034302510e08195f0ac34a4f9bc8b7e760062fe99a49302b0a15a4c
+size 255352
diff --git a/results/test/hyperbola/problem_0340.png b/results/test/hyperbola/problem_0340.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf8e44fe29c630c1ec4f1e3c7238b04630578268
--- /dev/null
+++ b/results/test/hyperbola/problem_0340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:885d455e345f898ab6ce576927baa2bef597978a46e68f74b61360cf9f072a74
+size 269717
diff --git a/results/test/hyperbola/problem_0342.png b/results/test/hyperbola/problem_0342.png
new file mode 100644
index 0000000000000000000000000000000000000000..bad54cc67132dd16752785b13bc7e22735be666e
--- /dev/null
+++ b/results/test/hyperbola/problem_0342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3386529eeb9417744926cef36036d928f126ce9c798c71df6abc1a0dc434ea4d
+size 299478
diff --git a/results/test/hyperbola/problem_0347.png b/results/test/hyperbola/problem_0347.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b029cfa6eaa253e4ae9ab52eabdf8011c59a7e9
--- /dev/null
+++ b/results/test/hyperbola/problem_0347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50a444a1a17f0fb97044aa6385f697df46d934708169f84c186cb5d10c9203ee
+size 277516
diff --git a/results/test/hyperbola/problem_0350.png b/results/test/hyperbola/problem_0350.png
new file mode 100644
index 0000000000000000000000000000000000000000..438f307569e47f1eee0ce8b1cfd9c0d3ea9a5082
--- /dev/null
+++ b/results/test/hyperbola/problem_0350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5b4b9e83e5b17486514c494503b866869257005f7fc9dd7a69b3f7d415d1244
+size 219282
diff --git a/results/test/hyperbola/problem_0351.png b/results/test/hyperbola/problem_0351.png
new file mode 100644
index 0000000000000000000000000000000000000000..e47d772483051b28a46dd5798b3ce4b652bd8490
--- /dev/null
+++ b/results/test/hyperbola/problem_0351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ffdf1721b5468e71f36644dba312c7e91fee3248a56b3f084043d26e127a14f
+size 244467
diff --git a/results/test/hyperbola/problem_0353.png b/results/test/hyperbola/problem_0353.png
new file mode 100644
index 0000000000000000000000000000000000000000..3499b92d2b0b1824aa961556d6af65e8a137fe0a
--- /dev/null
+++ b/results/test/hyperbola/problem_0353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3becfbda34758d2a5c64b7f924a9eb302e133c2d6e82c3ebfd0560d78edbe80
+size 281522
diff --git a/results/test/hyperbola/problem_0354.png b/results/test/hyperbola/problem_0354.png
new file mode 100644
index 0000000000000000000000000000000000000000..adda8ada42f711371f9373bc4fa6a413af4d0158
--- /dev/null
+++ b/results/test/hyperbola/problem_0354.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff3d3814ff555e2059e59c0042322f7a39cc09bc1cea58f2184bfbef33aef154
+size 251308
diff --git a/results/test/hyperbola/problem_0361.png b/results/test/hyperbola/problem_0361.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc334834a34224f93a9ac1ad01bf3c0d89287a52
--- /dev/null
+++ b/results/test/hyperbola/problem_0361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:baf345a792af965226a74e717894d1aedc6872e50bab6c3ddf77a8dc209360a2
+size 252589
diff --git a/results/test/hyperbola/problem_0364.png b/results/test/hyperbola/problem_0364.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fb5f6ecdc2b2f7b2f2b66914c616022fc9c34a4
--- /dev/null
+++ b/results/test/hyperbola/problem_0364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f629130bcd952791a6021525b8ba2d7c41094774c2354e76711ef13547aab463
+size 247006
diff --git a/results/test/hyperbola/problem_0370.png b/results/test/hyperbola/problem_0370.png
new file mode 100644
index 0000000000000000000000000000000000000000..32c7c135a606c46953a40e3edc1f3dfddd1302e4
--- /dev/null
+++ b/results/test/hyperbola/problem_0370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0e5cfbf8e5c5859e8ef0164e7c85af92561ee9b3aad438908a99eb746ca1d30
+size 259257
diff --git a/results/test/hyperbola/problem_0374.png b/results/test/hyperbola/problem_0374.png
new file mode 100644
index 0000000000000000000000000000000000000000..789bfffae8e1e3da066a6b42378f521d14dee09f
--- /dev/null
+++ b/results/test/hyperbola/problem_0374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15c06fc30b67105c5bef17ab101120b8c8040f6a7d1477242931c5286a952980
+size 261196
diff --git a/results/test/hyperbola/problem_0379.png b/results/test/hyperbola/problem_0379.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0a061ab166aabb9a9dbf8a4d5e9404c6a3e32e7
--- /dev/null
+++ b/results/test/hyperbola/problem_0379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da163d54879a2c77a8a209429be167edbafc89eb9ec6b55eb872fcffe0c55717
+size 298719
diff --git a/results/test/hyperbola/problem_0385.png b/results/test/hyperbola/problem_0385.png
new file mode 100644
index 0000000000000000000000000000000000000000..890586784560dc04133cdd83e4e441d6c8c62845
--- /dev/null
+++ b/results/test/hyperbola/problem_0385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5e66694da8cce8db1fe9cd6b2616a04093988b98c57e263fbdd406b6e66341c
+size 302416
diff --git a/results/test/hyperbola/problem_0386.png b/results/test/hyperbola/problem_0386.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd94692d9b3bde44c97c73fd6634c1eb6f1146fa
--- /dev/null
+++ b/results/test/hyperbola/problem_0386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87994b01cc7872d1398cec3a7efb63f617b8784fa752ba604f8d2b8f3a99ba3d
+size 265509
diff --git a/results/test/hyperbola/problem_0389.png b/results/test/hyperbola/problem_0389.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c85f75b616f7398b29a7323c820bbb643b7699a
--- /dev/null
+++ b/results/test/hyperbola/problem_0389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9ea964253fafe027b75d5602d67ce3ae079f4ea646cdd03b4c861a54f76bc47
+size 258482
diff --git a/results/test/hyperbola/problem_0392.png b/results/test/hyperbola/problem_0392.png
new file mode 100644
index 0000000000000000000000000000000000000000..98cc93f6bb31eaa1f4803706272066e7e355e1fc
--- /dev/null
+++ b/results/test/hyperbola/problem_0392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84fbaf1dfe1f03e243f4a1a7628d7600f9350a5932ff7ff9c9d13ae618220bee
+size 273525
diff --git a/results/test/hyperbola/problem_0393.png b/results/test/hyperbola/problem_0393.png
new file mode 100644
index 0000000000000000000000000000000000000000..4720eae46d3c1ddd1263be3fec4a04b9d2ddbd2f
--- /dev/null
+++ b/results/test/hyperbola/problem_0393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89bc2e789a659270b3227d197997c26e08cb29e0a73902125d1f204e419d3a58
+size 273233
diff --git a/results/test/hyperbola/problem_0406.png b/results/test/hyperbola/problem_0406.png
new file mode 100644
index 0000000000000000000000000000000000000000..314b062607baf2ad77a53a768527822842cfff8d
--- /dev/null
+++ b/results/test/hyperbola/problem_0406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b688ec8f54f32edabe86e8c15f08592c25fce832c224c94b44e4c38dd2681ee
+size 270163
diff --git a/results/test/hyperbola/problem_0407.png b/results/test/hyperbola/problem_0407.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4ff9791fa403729bc149399341109f7c7828705
--- /dev/null
+++ b/results/test/hyperbola/problem_0407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f78f112d0adb0b17516261b4e9cac6a0cbb843a867b08f156a9c1f74c0d33b5
+size 266707
diff --git a/results/test/hyperbola/problem_0408.png b/results/test/hyperbola/problem_0408.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a74c39729be438207a794d4189367c3662f4aeb
--- /dev/null
+++ b/results/test/hyperbola/problem_0408.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ea025234facb73f3473fb35096264d1adcec42238cd7aa05c64aadcdf629a98
+size 259622
diff --git a/results/test/hyperbola/problem_0410.png b/results/test/hyperbola/problem_0410.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7f37bba59fb4b75b9a3045ab52f27b55c34297f
--- /dev/null
+++ b/results/test/hyperbola/problem_0410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ce517133c1eca028f5830aaea5e7877ef0afdf999288b5ed901dbcb15b24d01
+size 244116
diff --git a/results/test/hyperbola/problem_0414.png b/results/test/hyperbola/problem_0414.png
new file mode 100644
index 0000000000000000000000000000000000000000..bad92c5fb6650a7a8f47b8f3eb64859b656d1e79
--- /dev/null
+++ b/results/test/hyperbola/problem_0414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42ba2222213b072fb883eb0a0d0db7159f587a9b9b87c7ac2e60d4c0c83ca3f8
+size 227061
diff --git a/results/test/hyperbola/problem_0419.png b/results/test/hyperbola/problem_0419.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e9e73bb165e0ce5610ced8697f59884b0599f48
--- /dev/null
+++ b/results/test/hyperbola/problem_0419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5599df61c028ba7597a3059c797a79d91781ce01fad5a90de4fb0a9253747e9
+size 237339
diff --git a/results/test/hyperbola/problem_0423.png b/results/test/hyperbola/problem_0423.png
new file mode 100644
index 0000000000000000000000000000000000000000..82ac39b92a243b0d1fab94b65ae1574ecb5d8037
--- /dev/null
+++ b/results/test/hyperbola/problem_0423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64cf4780581f8da56d03c635469fa3ce1c0e85d674b4740335731b0e953fd53a
+size 273722
diff --git a/results/test/hyperbola/problem_0424.png b/results/test/hyperbola/problem_0424.png
new file mode 100644
index 0000000000000000000000000000000000000000..3497e4260ce52b037ea8f7743c6ea0762bfda19e
--- /dev/null
+++ b/results/test/hyperbola/problem_0424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9da4778f1122c22c8b699903ea89e0f0793932ba6259c79223f450052a916e78
+size 266560
diff --git a/results/test/hyperbola/problem_0425.png b/results/test/hyperbola/problem_0425.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1ada1f738cf4ba2fd700bd27ada1aca94ba639a
--- /dev/null
+++ b/results/test/hyperbola/problem_0425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af253f57b8abccc101f7e90ee38f156d66f0f0d55301ba08a0c169d53855dc8a
+size 262072
diff --git a/results/test/hyperbola/problem_0431.png b/results/test/hyperbola/problem_0431.png
new file mode 100644
index 0000000000000000000000000000000000000000..87509343a33d5533974c1abba23a1a0574052e2d
--- /dev/null
+++ b/results/test/hyperbola/problem_0431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53f77cae80a079e86b27efdafa704e09bb9977a3d48f380bd047aaefaaa7906f
+size 266993
diff --git a/results/test/hyperbola/problem_0433.png b/results/test/hyperbola/problem_0433.png
new file mode 100644
index 0000000000000000000000000000000000000000..b301dba48f4e7c0201731a62d0334a0419ccb866
--- /dev/null
+++ b/results/test/hyperbola/problem_0433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:933edb3bba6b6c9166b653498f9551839069b1ba276e903a1a2c545156962441
+size 267996
diff --git a/results/test/hyperbola/problem_0434.png b/results/test/hyperbola/problem_0434.png
new file mode 100644
index 0000000000000000000000000000000000000000..0142cab2424e88f548a738abcd5715498ea1a09f
--- /dev/null
+++ b/results/test/hyperbola/problem_0434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:004e18cd10cc77f70a966ff43c1f7b51d2c9ce5d3c2831b83358e23cd9bb3143
+size 247185
diff --git a/results/test/hyperbola/problem_0436.png b/results/test/hyperbola/problem_0436.png
new file mode 100644
index 0000000000000000000000000000000000000000..abd7aea1e6226c66ad4fc77ce14a4b27a1d12032
--- /dev/null
+++ b/results/test/hyperbola/problem_0436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb81795194289ddd05d8d4bcb1bc30c704419e4193584f82ecdaade2a45d5ef7
+size 273678
diff --git a/results/test/hyperbola/problem_0440.png b/results/test/hyperbola/problem_0440.png
new file mode 100644
index 0000000000000000000000000000000000000000..d05ef67878c4c2115e3004259d25d00adc10b4cf
--- /dev/null
+++ b/results/test/hyperbola/problem_0440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7ab7245f26e4a886a825fc07882b3da0f52bcc0657ac9d3118dc34dd2703ea7
+size 257328
diff --git a/results/test/hyperbola/problem_0442.png b/results/test/hyperbola/problem_0442.png
new file mode 100644
index 0000000000000000000000000000000000000000..162f3c3e153959837d80eda2e7893769df82ba76
--- /dev/null
+++ b/results/test/hyperbola/problem_0442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:507afec74bc589ecebe74098a257027084deb1a73acb553ca5316e6f0ec247a9
+size 251059
diff --git a/results/test/hyperbola/problem_0443.png b/results/test/hyperbola/problem_0443.png
new file mode 100644
index 0000000000000000000000000000000000000000..07495bc6df47c13879ed76c08b8caae517f0d4db
--- /dev/null
+++ b/results/test/hyperbola/problem_0443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1151a96683e663f70f0808587bff3e90e8f8d2d802b69483600d59d7cabf5ed
+size 267756
diff --git a/results/test/hyperbola/problem_0445.png b/results/test/hyperbola/problem_0445.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b510fa06a338617b5ea08836f3b306e7bb61d67
--- /dev/null
+++ b/results/test/hyperbola/problem_0445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:656ed37991c1ba6bdcaf4c0ba03ea6ffcc70fa2fb727f835b074d3b3ad199c0c
+size 248667
diff --git a/results/test/hyperbola/problem_0448.png b/results/test/hyperbola/problem_0448.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7a25198316b664ed13f4de6490458a2a06dfe48
--- /dev/null
+++ b/results/test/hyperbola/problem_0448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d25b102b891e707f6a0665fffc903706928fb3bbd3d00170347bf3d7fbb298e1
+size 248094
diff --git a/results/test/hyperbola/problem_0449.png b/results/test/hyperbola/problem_0449.png
new file mode 100644
index 0000000000000000000000000000000000000000..00aad8529869fbed045476adf0c6a2389cb0bc6b
--- /dev/null
+++ b/results/test/hyperbola/problem_0449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0a14f308145061249d079602754be069b09f9d1f4fb5002aa12086acea5ae2a
+size 259276
diff --git a/results/test/hyperbola/problem_0454.png b/results/test/hyperbola/problem_0454.png
new file mode 100644
index 0000000000000000000000000000000000000000..087deede4e05dfa6c894a73393e11ac18156ba92
--- /dev/null
+++ b/results/test/hyperbola/problem_0454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45f749b79c924e6be595b75cb7f7d5264c31d88d4c373b46b044ce9da4395841
+size 253842
diff --git a/results/test/hyperbola/problem_0461.png b/results/test/hyperbola/problem_0461.png
new file mode 100644
index 0000000000000000000000000000000000000000..832373eb48415df6315d1d96a4d67d5d6ec2d9e0
--- /dev/null
+++ b/results/test/hyperbola/problem_0461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebb6c364e01f476b089eb41591bd10a2901cd4334f7d10815060c570dbe64f16
+size 246489
diff --git a/results/test/hyperbola/problem_0462.png b/results/test/hyperbola/problem_0462.png
new file mode 100644
index 0000000000000000000000000000000000000000..67aaeb6abf440de00b8d7f670acd9a2ed7328a28
--- /dev/null
+++ b/results/test/hyperbola/problem_0462.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4437f3b05276d75552d75fcef707c244130a58eb714ad10c6f49352b3b708da1
+size 264516
diff --git a/results/test/hyperbola/problem_0463.png b/results/test/hyperbola/problem_0463.png
new file mode 100644
index 0000000000000000000000000000000000000000..1aeee877fa34edd3e4c83f16fdbbbc03ef85af8e
--- /dev/null
+++ b/results/test/hyperbola/problem_0463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:330e6361006324f8763c728ace47a20253da3c6f096d8cc018f8395dcaeaf487
+size 263066
diff --git a/results/test/hyperbola/problem_0464.png b/results/test/hyperbola/problem_0464.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0d9e4378321babb21e7e4e6419f0d30f5655391
--- /dev/null
+++ b/results/test/hyperbola/problem_0464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89b5e3337b490bb38e59f1810e9008201cd8a397c1178c5ce047126ffcf9ce11
+size 268298
diff --git a/results/test/hyperbola/problem_0465.png b/results/test/hyperbola/problem_0465.png
new file mode 100644
index 0000000000000000000000000000000000000000..2223d01487cf0d51b07794fea6ad7c44225e5c35
--- /dev/null
+++ b/results/test/hyperbola/problem_0465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52fdc8c46daa77a14d6166b57da97d4b1fae35788978b69bfbaa34b585858451
+size 263018
diff --git a/results/test/hyperbola/problem_0473.png b/results/test/hyperbola/problem_0473.png
new file mode 100644
index 0000000000000000000000000000000000000000..14a83e89bdadfef3a37cbad789fa23cae14fbbbc
--- /dev/null
+++ b/results/test/hyperbola/problem_0473.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f259b8d15c8b3cd69bc55772cb98b4a48a502044d5225dec71bcb6a5afa11b77
+size 255079
diff --git a/results/test/hyperbola/problem_0474.png b/results/test/hyperbola/problem_0474.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e9250c2b27909b35a8d4ced13cde5ef0cff2ae9
--- /dev/null
+++ b/results/test/hyperbola/problem_0474.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61bbf0527701eeeb982a655f66ec7f6967e2c1469da54dbe021ee986c646711e
+size 309861
diff --git a/results/test/hyperbola/problem_0477.png b/results/test/hyperbola/problem_0477.png
new file mode 100644
index 0000000000000000000000000000000000000000..94b4a3653c7f600ca4802d885c4813cf1ebc773a
--- /dev/null
+++ b/results/test/hyperbola/problem_0477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afec200f182f2d11af41ccefb7bd328121ac31c5a702f8157b14999136d1bad6
+size 284938
diff --git a/results/test/hyperbola/problem_0480.png b/results/test/hyperbola/problem_0480.png
new file mode 100644
index 0000000000000000000000000000000000000000..d82d0294aa5a18c6e4cb1c4cf36b83356a34caa4
--- /dev/null
+++ b/results/test/hyperbola/problem_0480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d494a5ecddb96232fc915143958b700b33e7a89b236cb70950dfd7fed9168da
+size 269323
diff --git a/results/test/hyperbola/problem_0485.png b/results/test/hyperbola/problem_0485.png
new file mode 100644
index 0000000000000000000000000000000000000000..a11f9e572bb33abeff37780af9c64d8e165359a3
--- /dev/null
+++ b/results/test/hyperbola/problem_0485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e2b976b72db8e8fbb32d3c0fa5132a119af2db2631c7548e0324daf2fee3afb
+size 229638
diff --git a/results/test/hyperbola/problem_0491.png b/results/test/hyperbola/problem_0491.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ad1171b2f1380f534294ac847b22e9339109dda
--- /dev/null
+++ b/results/test/hyperbola/problem_0491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e04873498a5816915307c64c3e9467721c543b3edc14a6eb85c87025f0e796b1
+size 256468
diff --git a/results/test/hyperbola/problem_0492.png b/results/test/hyperbola/problem_0492.png
new file mode 100644
index 0000000000000000000000000000000000000000..8233a291f8917dd0b0df782ed206911e613d7e99
--- /dev/null
+++ b/results/test/hyperbola/problem_0492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90a5643f4093637ba9f0ebdb44d3e4ba6843daa25a975b9c46cc636e0d1509df
+size 259426
diff --git a/results/test/hyperbola/problem_0493.png b/results/test/hyperbola/problem_0493.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1216b5b1589aa1616b684d0057320ef02b660d2
--- /dev/null
+++ b/results/test/hyperbola/problem_0493.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9ee801ee2001d62666a51e1780dfcd85f01538231bc206cb3fc9c90ee72e1bc
+size 271646
diff --git a/results/test/hyperbola/problem_0497.png b/results/test/hyperbola/problem_0497.png
new file mode 100644
index 0000000000000000000000000000000000000000..9cb3df863aace8cf1e4fe110492c98838cba80aa
--- /dev/null
+++ b/results/test/hyperbola/problem_0497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0195f824122632ae5889cd5ec9cb7eed99ffaed178883bb75e863213b55c1fc2
+size 257070
diff --git a/results/test/hyperbola/problem_0500.png b/results/test/hyperbola/problem_0500.png
new file mode 100644
index 0000000000000000000000000000000000000000..24b5798a5dd4633951523d52ca6cae58a61fd62a
--- /dev/null
+++ b/results/test/hyperbola/problem_0500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e253456746ed4320ac28a5d9c2c63ee88ffea72a0cee367bbccf508f42cd46bc
+size 259921
diff --git a/results/test/hyperbola/problem_0502.png b/results/test/hyperbola/problem_0502.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ae7f294d01f22af2bc7f0ca8cfd74cf9962a63a
--- /dev/null
+++ b/results/test/hyperbola/problem_0502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8e6346e63a1457ab3da16371fe0bc03138f7b495047a2493b2d7c9a9c8bced9
+size 262862
diff --git a/results/test/hyperbola/problem_0507.png b/results/test/hyperbola/problem_0507.png
new file mode 100644
index 0000000000000000000000000000000000000000..77da341cdc882e50916987169fadc10e56eac6cb
--- /dev/null
+++ b/results/test/hyperbola/problem_0507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84bf68ad561a8a74fa5211a03bf45964b3363d1fb9fd1991e2b367145b8da5d6
+size 274306
diff --git a/results/test/hyperbola/problem_0516.png b/results/test/hyperbola/problem_0516.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc24ade89a58283b1e621c3a3aa2390db3191b09
--- /dev/null
+++ b/results/test/hyperbola/problem_0516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbf4ee219b809dc752c670c074451a1bec7611762bae02aa03aaa9442af4afb6
+size 267842
diff --git a/results/test/hyperbola/problem_0518.png b/results/test/hyperbola/problem_0518.png
new file mode 100644
index 0000000000000000000000000000000000000000..64d3acc612654a485e4701520188552eb882f378
--- /dev/null
+++ b/results/test/hyperbola/problem_0518.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04a867706685c607f767afe0402605379391ecead1d8772a9faaa8ac8640d2c7
+size 264610
diff --git a/results/test/hyperbola/problem_0519.png b/results/test/hyperbola/problem_0519.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9ef1f936e140c85102a6f4626d194c14677cde5
--- /dev/null
+++ b/results/test/hyperbola/problem_0519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aacdf4436370aa27c3e346649d02b6fa898dcf561c5d515a65ab945ac8c259ee
+size 270718
diff --git a/results/test/hyperbola/problem_0520.png b/results/test/hyperbola/problem_0520.png
new file mode 100644
index 0000000000000000000000000000000000000000..6483a49aa06af2285f62631709eea97717fb9009
--- /dev/null
+++ b/results/test/hyperbola/problem_0520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e03888b541dd273164bc02ea19a915642cedadbc614b8aac506b31115bde106e
+size 234461
diff --git a/results/test/hyperbola/problem_0525.png b/results/test/hyperbola/problem_0525.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f136d5cae4d2fb01db84bb22892fe0b518fd472
--- /dev/null
+++ b/results/test/hyperbola/problem_0525.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:472753596cadc01e8cd44261f35b68d2df04e6268a58923e107311cdc8fcd89a
+size 269135
diff --git a/results/test/hyperbola/problem_0529.png b/results/test/hyperbola/problem_0529.png
new file mode 100644
index 0000000000000000000000000000000000000000..a196df8ff22f820023564d28262fb18c050d0847
--- /dev/null
+++ b/results/test/hyperbola/problem_0529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30070b90d3fdea9491f8b7bf24eef0f81aafd521c02afabc255d2e8caf0c80f2
+size 268666
diff --git a/results/test/hyperbola/problem_0536.png b/results/test/hyperbola/problem_0536.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fd0204f84da94849cc2ef5f6684055c9a8f10c0
--- /dev/null
+++ b/results/test/hyperbola/problem_0536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68127b2923067a4be14f5f964e31b9214d8a357f9f3e48d2f59abcc4e04ac0d6
+size 252254
diff --git a/results/test/hyperbola/problem_0539.png b/results/test/hyperbola/problem_0539.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2b31669362c07324c7dac6927af7b2551cb29a0
--- /dev/null
+++ b/results/test/hyperbola/problem_0539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba8068f0092a68ee4033e0f2a459528c9b5ad18325659b8c384537fd90aaa736
+size 267040
diff --git a/results/test/hyperbola/problem_0541.png b/results/test/hyperbola/problem_0541.png
new file mode 100644
index 0000000000000000000000000000000000000000..6607ff49f8fe2ff410d743ee01afaedc137a383e
--- /dev/null
+++ b/results/test/hyperbola/problem_0541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:518c651ea7095bfd4d5097da7f897d01470691e6422a555329ff1d47258f442f
+size 260385
diff --git a/results/test/hyperbola/problem_0545.png b/results/test/hyperbola/problem_0545.png
new file mode 100644
index 0000000000000000000000000000000000000000..7aef2b54e7e211b0c1b9dff2ee72ef625efa5eb0
--- /dev/null
+++ b/results/test/hyperbola/problem_0545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d1c15149538a76cd7513d6496c1bfe1309144b26400bce8a824c0b6eeb879e7
+size 259726
diff --git a/results/test/hyperbola/problem_0547.png b/results/test/hyperbola/problem_0547.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e6b4a1d2001c2680246d3189e30836d843edb66
--- /dev/null
+++ b/results/test/hyperbola/problem_0547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:574fb74b07b592cdbc4edaede1d5f2186cac72431a49939a9a87b2cac6e82dbb
+size 266029
diff --git a/results/test/hyperbola/problem_0550.png b/results/test/hyperbola/problem_0550.png
new file mode 100644
index 0000000000000000000000000000000000000000..696c788827243454239174dbf59bf518b29a6280
--- /dev/null
+++ b/results/test/hyperbola/problem_0550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:752641a42aacb983de029979cb386d7a8443ec7f4db1d2b4f6e426a75d9288ba
+size 274819
diff --git a/results/test/hyperbola/problem_0559.png b/results/test/hyperbola/problem_0559.png
new file mode 100644
index 0000000000000000000000000000000000000000..a761bc8345e4e6d04485579488376ad0a3aec3d3
--- /dev/null
+++ b/results/test/hyperbola/problem_0559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56d685a03e452daa0c7a5dc7f6aa1fad2670b1f5a232d0fd04d2227a45e9e038
+size 266975
diff --git a/results/test/hyperbola/problem_0560.png b/results/test/hyperbola/problem_0560.png
new file mode 100644
index 0000000000000000000000000000000000000000..313496e1f3365d3bbfd8b25eab267a6f9c23ad28
--- /dev/null
+++ b/results/test/hyperbola/problem_0560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e31e57ccc1f998b9706786550fb18c87e9883fc21619ca2246d02a840cdaad4a
+size 266475
diff --git a/results/test/hyperbola/problem_0563.png b/results/test/hyperbola/problem_0563.png
new file mode 100644
index 0000000000000000000000000000000000000000..c275eb4e325aefeaf4962dfd54eb28d865a8b1e0
--- /dev/null
+++ b/results/test/hyperbola/problem_0563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fb6f01775f0988b7381adf8f2261a3f3ba695b29d6fcbd6addcbf627839bae4
+size 288819
diff --git a/results/test/hyperbola/problem_0565.png b/results/test/hyperbola/problem_0565.png
new file mode 100644
index 0000000000000000000000000000000000000000..84f6909271eaccabcd67054c6bc87c82d45cb297
--- /dev/null
+++ b/results/test/hyperbola/problem_0565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a82c0df24a58b8cacc0910b086f08527e91868fd50918080059e281bc70d7c2
+size 231999
diff --git a/results/test/hyperbola/problem_0566.png b/results/test/hyperbola/problem_0566.png
new file mode 100644
index 0000000000000000000000000000000000000000..69faff1389706f0aeb08bed54c29f63a06096f01
--- /dev/null
+++ b/results/test/hyperbola/problem_0566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c77d21fa3d88d7e8e402787878b9c9a22bd827a3d5a2d4bacc6627187be9676
+size 282208
diff --git a/results/test/hyperbola/problem_0570.png b/results/test/hyperbola/problem_0570.png
new file mode 100644
index 0000000000000000000000000000000000000000..76ad9d6f2968008b2c52600ee50d158340d50ace
--- /dev/null
+++ b/results/test/hyperbola/problem_0570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6ba9965c9b254debb758d37dbdd341fa99a0438748fa45e2c12c6d09ee3abb8
+size 261337
diff --git a/results/test/hyperbola/problem_0574.png b/results/test/hyperbola/problem_0574.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c0c0a7591b960c22d7ebc98316d21c14011a5fa
--- /dev/null
+++ b/results/test/hyperbola/problem_0574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02a16de1b579a8cdfb385f2a923957977069855c042bbc5a8844bc0a8cab4b31
+size 275897
diff --git a/results/test/hyperbola/problem_0577.png b/results/test/hyperbola/problem_0577.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7f2a69bf16eb6dc2f28c1f66620462f1927f0a8
--- /dev/null
+++ b/results/test/hyperbola/problem_0577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8579882c1b3134a42dd8548a550ad08ebdce44d3141bff9073c7793df0490c95
+size 276796
diff --git a/results/test/hyperbola/problem_0578.png b/results/test/hyperbola/problem_0578.png
new file mode 100644
index 0000000000000000000000000000000000000000..7badb7d207d72c92e9e1aef012d6fd35c5903cfe
--- /dev/null
+++ b/results/test/hyperbola/problem_0578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bf0f47883a7f51834fd91c5b4a68ef4a68daabfed1fd7b76d5aa2985fffafd2
+size 271901
diff --git a/results/test/hyperbola/problem_0584.png b/results/test/hyperbola/problem_0584.png
new file mode 100644
index 0000000000000000000000000000000000000000..89fcd56de22a848c478143f66c206990e12f8d0e
--- /dev/null
+++ b/results/test/hyperbola/problem_0584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62e6c22007bc3f2fa9e0a846e493ce25dd48319dc1733ef817d7f769e7025726
+size 268951
diff --git a/results/test/hyperbola/problem_0585.png b/results/test/hyperbola/problem_0585.png
new file mode 100644
index 0000000000000000000000000000000000000000..42c017a0817f031bd5dc503129a0dfc4e6373908
--- /dev/null
+++ b/results/test/hyperbola/problem_0585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11f23de195c085a105c24d2e1e313be6a14795ef94901fe8ad02407a949f1f33
+size 238476
diff --git a/results/test/hyperbola/problem_0589.png b/results/test/hyperbola/problem_0589.png
new file mode 100644
index 0000000000000000000000000000000000000000..33a13786de3bb68824a77d6704991a3a1fb18f74
--- /dev/null
+++ b/results/test/hyperbola/problem_0589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34a5828fb6343585d7eb3b2540e39c36ae0a7c6040e0da125d73fb6b02198b4e
+size 263111
diff --git a/results/test/hyperbola/problem_0591.png b/results/test/hyperbola/problem_0591.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d44847643c484fa9b69fe4a9add83bfaa8fb126
--- /dev/null
+++ b/results/test/hyperbola/problem_0591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9bfb3f2a492a2747767185d0ea2b26aea5cfaa575fbd8b7c262016c4a0964ce
+size 270475
diff --git a/results/test/hyperbola/problem_0592.png b/results/test/hyperbola/problem_0592.png
new file mode 100644
index 0000000000000000000000000000000000000000..f953a923abc3cb42dc5990cc5a8b28a62bf57469
--- /dev/null
+++ b/results/test/hyperbola/problem_0592.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01552d937780d6810f36a349339638ed27ccfbde8ad39e9f1630cbee2609353c
+size 257589
diff --git a/results/test/hyperbola/problem_0593.png b/results/test/hyperbola/problem_0593.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b244a0654947c96d5b2d40d13d3d3020f21d46b
--- /dev/null
+++ b/results/test/hyperbola/problem_0593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7750f1f1f9e537bafe93f8638283c7d348fc70ee00afadde1d239438ebb2ab3c
+size 264586
diff --git a/results/test/hyperbola/problem_0605.png b/results/test/hyperbola/problem_0605.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c86c556d61168afd0839aa7d78449184223e032
--- /dev/null
+++ b/results/test/hyperbola/problem_0605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de43f3bcb623454a9b04146b5c24a8bfcb52482ac7f9c605313b82645a46f9a2
+size 236694
diff --git a/results/test/hyperbola/problem_0607.png b/results/test/hyperbola/problem_0607.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4060ed7e866e4586a6e473d65264c26cb9ce953
--- /dev/null
+++ b/results/test/hyperbola/problem_0607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e2d1566aa25ea60cec94744ce959ee44d3571f79090887f1123b824b59d204b
+size 268814
diff --git a/results/test/hyperbola/problem_0610.png b/results/test/hyperbola/problem_0610.png
new file mode 100644
index 0000000000000000000000000000000000000000..43715513260a7b5e8ec73dc7930793a64d98b321
--- /dev/null
+++ b/results/test/hyperbola/problem_0610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0974ef079d75118b286200bc5237c93c704cc42404835ef2c4d8860ecd8200c6
+size 263631
diff --git a/results/test/hyperbola/problem_0611.png b/results/test/hyperbola/problem_0611.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f0111ea9a07d750ea8394d02fb017d881d564b7
--- /dev/null
+++ b/results/test/hyperbola/problem_0611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4eaaab0ec08bc97ea007db0a4e0de38bd0cbae7e343fb326ff6b9aa52b727de5
+size 260412
diff --git a/results/test/hyperbola/problem_0616.png b/results/test/hyperbola/problem_0616.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e359f5936f540bb4388676c477622990df7cbad
--- /dev/null
+++ b/results/test/hyperbola/problem_0616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b8a2efd250acffd79ce13a3e44501e813abe7b03059dffc55e6e3a8dcbd2eac
+size 291480
diff --git a/results/test/hyperbola/problem_0618.png b/results/test/hyperbola/problem_0618.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf5a047d2ca3768a437af749cea521c7ede82a6f
--- /dev/null
+++ b/results/test/hyperbola/problem_0618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d29b87186c44f5ad8d7b13b213a59f6a488121d68d7b9a496b363123b34e9a8
+size 309794
diff --git a/results/test/hyperbola/problem_0624.png b/results/test/hyperbola/problem_0624.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f449f726c98d37cfb26dfabef2a982890de5e82
--- /dev/null
+++ b/results/test/hyperbola/problem_0624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c8a2478c14f249975f43ab672dee999eaf635f89a4ebd2f279a1c71075d742c
+size 269109
diff --git a/results/test/hyperbola/problem_0630.png b/results/test/hyperbola/problem_0630.png
new file mode 100644
index 0000000000000000000000000000000000000000..142d73fc52631d555a4295a8f4e54ef00e755aa5
--- /dev/null
+++ b/results/test/hyperbola/problem_0630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6329472f1968e8aa24c2da8e6bd239801a519afa7499c3f80b75cb91ebccae7c
+size 249516
diff --git a/results/test/hyperbola/problem_0634.png b/results/test/hyperbola/problem_0634.png
new file mode 100644
index 0000000000000000000000000000000000000000..a78a75ee11542e58c6756f2bfb5a0cb053a77bad
--- /dev/null
+++ b/results/test/hyperbola/problem_0634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba240e15dc9ddb628bb42d587e5e76d9fc49f938a9f1f479227f402d87eb842b
+size 263631
diff --git a/results/test/hyperbola/problem_0638.png b/results/test/hyperbola/problem_0638.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa276754d374898613c74856b229ddeae1257528
--- /dev/null
+++ b/results/test/hyperbola/problem_0638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28a030e32032e77e3cbb5f3ba422033aa2eb325a4f3850c2374f2fc02a5fc703
+size 231060
diff --git a/results/test/hyperbola/problem_0642.png b/results/test/hyperbola/problem_0642.png
new file mode 100644
index 0000000000000000000000000000000000000000..683c6bad46a278f49619bfcaf466b69e8e53f929
--- /dev/null
+++ b/results/test/hyperbola/problem_0642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a32defef53cb0e927c69cc629500b3bbd3bf2f05541f04537457d0690aeb283
+size 247802
diff --git a/results/test/hyperbola/problem_0646.png b/results/test/hyperbola/problem_0646.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e0c0ada72435be7db8149f73df2b171d556c603
--- /dev/null
+++ b/results/test/hyperbola/problem_0646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3903266e8e44e7b02946af2af15cf4bc9be991f5e530f5bb8980b3ab7ee1cbbd
+size 273773
diff --git a/results/test/hyperbola/problem_0649.png b/results/test/hyperbola/problem_0649.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eafe1defa1436ec98facac1dd132b99a1c749b1
--- /dev/null
+++ b/results/test/hyperbola/problem_0649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72ef6429478a6f7e491025ab5db457b0df3261f5eb1fa6fc1b1256960092e39a
+size 255243
diff --git a/results/test/hyperbola/problem_0651.png b/results/test/hyperbola/problem_0651.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b1642c623b25afc912cee1a2f86b7b2183a9c9b
--- /dev/null
+++ b/results/test/hyperbola/problem_0651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8aabcb760f8a36054bb4db30ffe3a178a9d8e53f161abd97688489e8faef647
+size 262080
diff --git a/results/test/hyperbola/problem_0656.png b/results/test/hyperbola/problem_0656.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fbca92b6ba334a98a6c195b4734d28e6b5ac8b8
--- /dev/null
+++ b/results/test/hyperbola/problem_0656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6359591449287d914814859b8a9458a4f98c3217707e88807e0905901b01f4c7
+size 274873
diff --git a/results/test/hyperbola/problem_0657.png b/results/test/hyperbola/problem_0657.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0c6ddb16ff53cc0f6b1b8b48b01b14aef3f65da
--- /dev/null
+++ b/results/test/hyperbola/problem_0657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d13dc9b7fc8d20d2189575b9cd06c132d3c1681350bed42b24663129f8835b64
+size 280097
diff --git a/results/test/hyperbola/problem_0658.png b/results/test/hyperbola/problem_0658.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b22bed55056c324713aac4b5a44ddb0596c2729
--- /dev/null
+++ b/results/test/hyperbola/problem_0658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:862eb91808b542479cd1104174907e9ab99370074a2906689d3ec112177539a2
+size 252628
diff --git a/results/test/hyperbola/problem_0667.png b/results/test/hyperbola/problem_0667.png
new file mode 100644
index 0000000000000000000000000000000000000000..0174938b8bcb47180c06c16efc9f93257f28f74a
--- /dev/null
+++ b/results/test/hyperbola/problem_0667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd6ee60fe2ff526a918cb37a9c84654f439b74f144ac60ab65fef7b1345ad221
+size 271744
diff --git a/results/test/hyperbola/problem_0671.png b/results/test/hyperbola/problem_0671.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7f6f13d829c8b9199233b57e5d5d1fed8644aef
--- /dev/null
+++ b/results/test/hyperbola/problem_0671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e89fc0eabc4b04b7dfd365a95ff4b7a6d7b766ec32bc02075ab0455966d881e3
+size 241020
diff --git a/results/test/hyperbola/problem_0678.png b/results/test/hyperbola/problem_0678.png
new file mode 100644
index 0000000000000000000000000000000000000000..50502c989203a816db46fe32b373342cf66ccdce
--- /dev/null
+++ b/results/test/hyperbola/problem_0678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7c86f7a1c6519d79e24e4b9b26974ac9efcfa95e8400956f971a67d248b0d76
+size 271452
diff --git a/results/test/hyperbola/problem_0685.png b/results/test/hyperbola/problem_0685.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7a889cacd0d04581ed6b415092758f2aaf1e4ff
--- /dev/null
+++ b/results/test/hyperbola/problem_0685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb48738d03e8ff88e0d87538b89b5794278f1fc0236ece607cf99988b8657925
+size 272137
diff --git a/results/test/hyperbola/problem_0687.png b/results/test/hyperbola/problem_0687.png
new file mode 100644
index 0000000000000000000000000000000000000000..a114098f59b3adb66f1be96262d637f2a704886a
--- /dev/null
+++ b/results/test/hyperbola/problem_0687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5c961bb0146ff578981e5796ab66346eeedd455e1bbd1fe699920c9a65a39e2
+size 273751
diff --git a/results/test/hyperbola/problem_0710.png b/results/test/hyperbola/problem_0710.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e7b99eac69262c5936554b198a402e08866909b
--- /dev/null
+++ b/results/test/hyperbola/problem_0710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e21d66fe77b1bee9ceeb26dce9b578f9e42bde7ff2d2aa2d89f5aea10631b17a
+size 289138
diff --git a/results/test/hyperbola/problem_0712.png b/results/test/hyperbola/problem_0712.png
new file mode 100644
index 0000000000000000000000000000000000000000..75b05bdcc8c3850a6ce1283272b048c8a3031d61
--- /dev/null
+++ b/results/test/hyperbola/problem_0712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a5a61c3a2fc9b89017bfdeb36725ea965a452a8c3e1439b521a1e1885253424
+size 272587
diff --git a/results/test/hyperbola/problem_0716.png b/results/test/hyperbola/problem_0716.png
new file mode 100644
index 0000000000000000000000000000000000000000..d701ce8c025340259633c5c99811bf6a72dd3ea9
--- /dev/null
+++ b/results/test/hyperbola/problem_0716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:288ad88be02242f7514faf4e0e015c4e62989997e2bc378b741d7d133c86a69b
+size 260474
diff --git a/results/test/hyperbola/problem_0717.png b/results/test/hyperbola/problem_0717.png
new file mode 100644
index 0000000000000000000000000000000000000000..b469e306000f5d91c93e65b164a3d648def37fc7
--- /dev/null
+++ b/results/test/hyperbola/problem_0717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b63fa82954cda53d62eb05042bc715b1a61fdc784f4285d1909e1ad91e8be034
+size 264172
diff --git a/results/test/hyperbola/problem_0718.png b/results/test/hyperbola/problem_0718.png
new file mode 100644
index 0000000000000000000000000000000000000000..71d8378755c8da2f2dd6a91f95a23359e9ad344d
--- /dev/null
+++ b/results/test/hyperbola/problem_0718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:757ea39a58d934a3411d53a64a879de9f072b97ead8da1dfec31c61469d76ca3
+size 281357
diff --git a/results/test/hyperbola/problem_0728.png b/results/test/hyperbola/problem_0728.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a9b90fdba3ff6e8c22354a1b8d658d87706206f
--- /dev/null
+++ b/results/test/hyperbola/problem_0728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2fff4220452075e3e56cb66e87408cccd6182f28c87c53056766d6ddeca5b1ab
+size 257558
diff --git a/results/test/hyperbola/problem_0730.png b/results/test/hyperbola/problem_0730.png
new file mode 100644
index 0000000000000000000000000000000000000000..305e2f7450cd0887aa1f3aced71650bd3009a138
--- /dev/null
+++ b/results/test/hyperbola/problem_0730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a79bbff7d1947fe069423183a3a0c7c5944c02a9dfa1a4d19996e4fdd83c96a0
+size 219334
diff --git a/results/test/hyperbola/problem_0736.png b/results/test/hyperbola/problem_0736.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5bc2947bf3a669872f0974f107257deb5985227
--- /dev/null
+++ b/results/test/hyperbola/problem_0736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a523d9202967843fbfbb168476a17088f812d29e047be3637f4ac3d994c46ef
+size 280506
diff --git a/results/test/hyperbola/problem_0737.png b/results/test/hyperbola/problem_0737.png
new file mode 100644
index 0000000000000000000000000000000000000000..e82c0a863e402cb306d4f2a5735620b61e54cdda
--- /dev/null
+++ b/results/test/hyperbola/problem_0737.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df1e07f62cfe16a005d8115fcf1dc2437dc6d45d913c3674e3e7981afc168b1c
+size 265541
diff --git a/results/test/hyperbola/problem_0746.png b/results/test/hyperbola/problem_0746.png
new file mode 100644
index 0000000000000000000000000000000000000000..2749f1ec41d4f890a339e84573ca7fc02193621d
--- /dev/null
+++ b/results/test/hyperbola/problem_0746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d610cff5a5414f193b53a4d898303ff8cb30ac599a3718e2865d6d4ed4478c92
+size 252718
diff --git a/results/test/hyperbola/problem_0747.png b/results/test/hyperbola/problem_0747.png
new file mode 100644
index 0000000000000000000000000000000000000000..73c1356ce515d0edaf634a1a71d6b2e6f3958ca8
--- /dev/null
+++ b/results/test/hyperbola/problem_0747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52a2e34cf6fbf963f879eb683530f138ba1af045505857d27c70b12c9cefec5c
+size 275824
diff --git a/results/test/hyperbola/problem_0748.png b/results/test/hyperbola/problem_0748.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f939f7e5fe0fc11828170b45af5edd9fb81932a
--- /dev/null
+++ b/results/test/hyperbola/problem_0748.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d787c20ce440b90cd555f8062777ac4cbbe43487ddd2fa4fc87673ac5fec9329
+size 262359
diff --git a/results/test/hyperbola/problem_0750.png b/results/test/hyperbola/problem_0750.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c4b0a9741680fbc86b3ab8ff7343b5b22b55663
--- /dev/null
+++ b/results/test/hyperbola/problem_0750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c16dfa61925f4269dea6d6fbe10a6669d721be6fec50c14d9b52a47329ce4b51
+size 272896
diff --git a/results/test/hyperbola/problem_0751.png b/results/test/hyperbola/problem_0751.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f9d1c9127a9d5ee31e1917edba7bb87c5a64db5
--- /dev/null
+++ b/results/test/hyperbola/problem_0751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72a93f9473ffd67daf5830021ab2c97fd8c88f809f8119cd0d22aecda0287edf
+size 260457
diff --git a/results/test/hyperbola/problem_0752.png b/results/test/hyperbola/problem_0752.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8ebac80aba2c79946b03de801cfb94e53bd2ed4
--- /dev/null
+++ b/results/test/hyperbola/problem_0752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a801111d5754cc2fdc0eddd8f85e5ee620a2abe195772cf13f27aec482f8fc3
+size 273653
diff --git a/results/test/hyperbola/problem_0759.png b/results/test/hyperbola/problem_0759.png
new file mode 100644
index 0000000000000000000000000000000000000000..16bb45132547b57e5accda503cbaca53942ec059
--- /dev/null
+++ b/results/test/hyperbola/problem_0759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39fe24bc832dbe34f5456cf67c24463ccab30d42e8e51c4d575c3de62d9cd171
+size 258768
diff --git a/results/test/hyperbola/problem_0760.png b/results/test/hyperbola/problem_0760.png
new file mode 100644
index 0000000000000000000000000000000000000000..38f6ac1e85cd033ae9a8eb8a5c63dfcfbdb7b1fe
--- /dev/null
+++ b/results/test/hyperbola/problem_0760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:466d5e31c74ddba108f48c82b973fa1ee091a3ec1e12dd4d2f8c98b562012a47
+size 270405
diff --git a/results/test/hyperbola/problem_0764.png b/results/test/hyperbola/problem_0764.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2f3d4d484454cd2d236b241740068748d978672
--- /dev/null
+++ b/results/test/hyperbola/problem_0764.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3043808046f54de1d5d2de000218604ec21f67c67b07ec6480486742fb983136
+size 274956
diff --git a/results/test/hyperbola/problem_0765.png b/results/test/hyperbola/problem_0765.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d4ae1a80cfbac8a05c28127f038f2816f49a559
--- /dev/null
+++ b/results/test/hyperbola/problem_0765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ff3ec8f33a9598e0208969c6309fffdf69c2c62e9d24913ced975c010a9bcc6
+size 261252
diff --git a/results/test/hyperbola/problem_0766.png b/results/test/hyperbola/problem_0766.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba8ecf997a2dd9db55da0edc0e0c31114e5b048d
--- /dev/null
+++ b/results/test/hyperbola/problem_0766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:369825e4a847b6d7dee61eaaaa4464050eae7fabb20cdf4e396dc77aa77881d0
+size 263720
diff --git a/results/test/hyperbola/problem_0767.png b/results/test/hyperbola/problem_0767.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed6ca179a5c4ce2a949a5d0492066cfaf9b75010
--- /dev/null
+++ b/results/test/hyperbola/problem_0767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb78f5b56f5e48e78ceef5fc025472691d5de47d48f064d1f3f2b93a961abb0b
+size 226917
diff --git a/results/test/hyperbola/problem_0768.png b/results/test/hyperbola/problem_0768.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bc09c7f6bd35c88f2ceba959ddcebf5bb53fb17
--- /dev/null
+++ b/results/test/hyperbola/problem_0768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db9a651bc3b50067964f84b0261331ba7b3180fcaa7a76345c02d07d599aae14
+size 268496
diff --git a/results/test/hyperbola/problem_0770.png b/results/test/hyperbola/problem_0770.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8eea147bca48759bafa4cd23ea9cd55a8e73dc6
--- /dev/null
+++ b/results/test/hyperbola/problem_0770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34d09f809defd8ff3ed9c23dfa5c094bb2cdaefbdf12ec63f4a21619992bb200
+size 241790
diff --git a/results/test/hyperbola/problem_0771.png b/results/test/hyperbola/problem_0771.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e7f8b542b123934764560dea24b1ec896ff0f26
--- /dev/null
+++ b/results/test/hyperbola/problem_0771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd44c4eb3b49a7f36029db47254bf72ce88629f7686c91bf44d452f6ab50d657
+size 271305
diff --git a/results/test/hyperbola/problem_0788.png b/results/test/hyperbola/problem_0788.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba4eccd37238a98dcc292da5818c5ff9e4d62304
--- /dev/null
+++ b/results/test/hyperbola/problem_0788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efc87ba90402211a31c27645025b9e5a6f9d5a711e83fa49b8ef138ca4d5779c
+size 275204
diff --git a/results/test/hyperbola/problem_0792.png b/results/test/hyperbola/problem_0792.png
new file mode 100644
index 0000000000000000000000000000000000000000..db24ff03574cc451c30adce40fe71d5cc641bc26
--- /dev/null
+++ b/results/test/hyperbola/problem_0792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a056c9371ee38936c9205f3ff9f55469d3745a004812e0821525c9bf8c03a8dd
+size 270449
diff --git a/results/test/hyperbola/problem_0793.png b/results/test/hyperbola/problem_0793.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fa4d59bbcb5dd494858c4db79dd1d5540fb3dcc
--- /dev/null
+++ b/results/test/hyperbola/problem_0793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0db029c32cd21b0b930a88b19df42e77e8ae2fc440d68168e3b094ac12cdf044
+size 282360
diff --git a/results/test/hyperbola/problem_0795.png b/results/test/hyperbola/problem_0795.png
new file mode 100644
index 0000000000000000000000000000000000000000..7918d87299cadd57002f6b6ffce84bdae2f2884b
--- /dev/null
+++ b/results/test/hyperbola/problem_0795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97c536220d0f90be373572e3cd06d6c181c502b8a79f8b02c9aaa84db6af4f77
+size 271364
diff --git a/results/test/hyperbola/problem_0797.png b/results/test/hyperbola/problem_0797.png
new file mode 100644
index 0000000000000000000000000000000000000000..79aebcd07a7cbd29dc50c9f65c470200c5164752
--- /dev/null
+++ b/results/test/hyperbola/problem_0797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca9d396721fa2fecf5262df9bfc937ab49777dae3d652ef0c572bfbefc7038f7
+size 267475
diff --git a/results/test/hyperbola/problem_0798.png b/results/test/hyperbola/problem_0798.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a274e42688754d67c04ac20168b05599e1c13d1
--- /dev/null
+++ b/results/test/hyperbola/problem_0798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f291c39b6bb2bc5760160356935617de62f3b7b70b645e002d778142ee447171
+size 250399
diff --git a/results/test/hyperbola/problem_0799.png b/results/test/hyperbola/problem_0799.png
new file mode 100644
index 0000000000000000000000000000000000000000..c08848c162fc023552eb2af247a0306a8e6f2bab
--- /dev/null
+++ b/results/test/hyperbola/problem_0799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf7f528102b61ea77b673cc121fbf7662583a2b831bde257d4b798ce25f4d9fe
+size 265077
diff --git a/results/test/hyperbola/problem_0801.png b/results/test/hyperbola/problem_0801.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea659efca42d7b6448c8104276d89bfcd479dac7
--- /dev/null
+++ b/results/test/hyperbola/problem_0801.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e446e9b4de5e9a2ef70447046c017c899a4e095fe20a08223dcc6188c3f9f90
+size 268780
diff --git a/results/test/hyperbola/problem_0808.png b/results/test/hyperbola/problem_0808.png
new file mode 100644
index 0000000000000000000000000000000000000000..694e7d811a13abd755a7afd69fd5014e51c22c46
--- /dev/null
+++ b/results/test/hyperbola/problem_0808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:710905abe4db9ace4c77e2a81ecc564980a851236a9a3959cc84066b206448e0
+size 262126
diff --git a/results/test/hyperbola/problem_0809.png b/results/test/hyperbola/problem_0809.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a91d0543caf112f2a69006bcbbb86081d9c7724
--- /dev/null
+++ b/results/test/hyperbola/problem_0809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49b499f17b8713e2fd1c917fc2ae962c60ac8a1e85ba6c17dcc4583c2760d9c6
+size 261779
diff --git a/results/test/hyperbola/problem_0813.png b/results/test/hyperbola/problem_0813.png
new file mode 100644
index 0000000000000000000000000000000000000000..660e0314d8fa18a0380431eb45dc6082322e7bf3
--- /dev/null
+++ b/results/test/hyperbola/problem_0813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6d60571cb068dd8e030a019add6e42f47129314ac6bb02bf071b9b400ee7201
+size 277915
diff --git a/results/test/hyperbola/problem_0824.png b/results/test/hyperbola/problem_0824.png
new file mode 100644
index 0000000000000000000000000000000000000000..56e088679dd829acc058d7d0a5053cdae7979121
--- /dev/null
+++ b/results/test/hyperbola/problem_0824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2b22159f77604d15ccd89d9e09895c17813c75a9424da6d31c25cc4d6569614
+size 251266
diff --git a/results/test/hyperbola/problem_0830.png b/results/test/hyperbola/problem_0830.png
new file mode 100644
index 0000000000000000000000000000000000000000..59af0691540a211527cab2afa1dbed1cdb9cbd5b
--- /dev/null
+++ b/results/test/hyperbola/problem_0830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5275dd6c3f4ec4cccd972da457c2036b874f334983484ca5806e5b4159d6b97
+size 271481
diff --git a/results/test/hyperbola/problem_0832.png b/results/test/hyperbola/problem_0832.png
new file mode 100644
index 0000000000000000000000000000000000000000..a36fa46df6c52c81839f6a59c2e36232de376425
--- /dev/null
+++ b/results/test/hyperbola/problem_0832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5c2e4baa7e94d8ab41682a84c1b6320fe9271f10066ad6433496061faa0e8e7
+size 246208
diff --git a/results/test/hyperbola/problem_0835.png b/results/test/hyperbola/problem_0835.png
new file mode 100644
index 0000000000000000000000000000000000000000..324b04ab2cf1090a420455eb19a15602af3f8729
--- /dev/null
+++ b/results/test/hyperbola/problem_0835.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d3c8d72b01b41c16f0ba51cd5f6a1ed1a10ebcafff5778bbdc85b0d57c74e1e
+size 270234
diff --git a/results/test/hyperbola/problem_0836.png b/results/test/hyperbola/problem_0836.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ef29a83fe48cc9ebf8f93266aa271db03be3f60
--- /dev/null
+++ b/results/test/hyperbola/problem_0836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:360810578fe7be33d588cbea32ae13031db6657a9e0c95cd48a07fc0e7ad31f7
+size 287237
diff --git a/results/test/hyperbola/problem_0839.png b/results/test/hyperbola/problem_0839.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f92c7caf97d32cc0036bd4edeff0a09a44c6083
--- /dev/null
+++ b/results/test/hyperbola/problem_0839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a819d5ce09fc4b19bef9d017ea2340ab35238d3eada21686d3833b977ed9bb94
+size 242369
diff --git a/results/test/hyperbola/problem_0841.png b/results/test/hyperbola/problem_0841.png
new file mode 100644
index 0000000000000000000000000000000000000000..5472c6628fa723b70094da780d9833ca7a6096c5
--- /dev/null
+++ b/results/test/hyperbola/problem_0841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b275c013dfa773dad4cf038686f5d822ff0e30b9e751a0711a3bc8dbdfd780a
+size 255996
diff --git a/results/test/hyperbola/problem_0842.png b/results/test/hyperbola/problem_0842.png
new file mode 100644
index 0000000000000000000000000000000000000000..30adf442c17c8b4593d83d40a396b321a1e0aae0
--- /dev/null
+++ b/results/test/hyperbola/problem_0842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89111bc5e42acfe973305b32d32de8c3ad6f6fd1c6dad548a2844ac5421e5a75
+size 258810
diff --git a/results/test/hyperbola/problem_0845.png b/results/test/hyperbola/problem_0845.png
new file mode 100644
index 0000000000000000000000000000000000000000..6714dd4b97242536f4c7b9f424576c784cfcec47
--- /dev/null
+++ b/results/test/hyperbola/problem_0845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3613f939fa27be61b616ee83f85def07ab1c2dbadee7bf109e29afeea65df574
+size 270478
diff --git a/results/test/hyperbola/problem_0849.png b/results/test/hyperbola/problem_0849.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b6a41b4b83ea559e5418743e77b5a6f674ef6ac
--- /dev/null
+++ b/results/test/hyperbola/problem_0849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:359e56cb4c7a7a3be0a57b5fbc5a3ee7ad04a55a7be32b5537fea685f2df9fe1
+size 286532
diff --git a/results/test/hyperbola/problem_0850.png b/results/test/hyperbola/problem_0850.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ae0c4e8806d0e4eb50ea5ba733ad8625d99b1bb
--- /dev/null
+++ b/results/test/hyperbola/problem_0850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9b43005cc7dafa17e3f1386ab78f18b737ef91bd8d732a377f1de190a081512
+size 260592
diff --git a/results/test/hyperbola/problem_0852.png b/results/test/hyperbola/problem_0852.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fc1d87ece437d3121882780427ff0e65da74b8e
--- /dev/null
+++ b/results/test/hyperbola/problem_0852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e74d030f3999ca73323b969d8861fd58a0e8b340851b6a88226fc84802fcee3
+size 270493
diff --git a/results/test/hyperbola/problem_0859.png b/results/test/hyperbola/problem_0859.png
new file mode 100644
index 0000000000000000000000000000000000000000..57e27256c3bfeb614ab4b9345c04a70053f8835f
--- /dev/null
+++ b/results/test/hyperbola/problem_0859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0e6c81dcf06f734b3f3d22f685d23d004883763a570de646d24c51c96fc5f6e
+size 275990
diff --git a/results/test/hyperbola/problem_0862.png b/results/test/hyperbola/problem_0862.png
new file mode 100644
index 0000000000000000000000000000000000000000..8556cfdc8d9c24fedb9473b3c5b46f8af3fe1be6
--- /dev/null
+++ b/results/test/hyperbola/problem_0862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c030c5407904ae9c285c8c20a23c6cfbc8e7b2f7efc50aee52e903df747e93d1
+size 270219
diff --git a/results/test/hyperbola/problem_0865.png b/results/test/hyperbola/problem_0865.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f8fc53f3dd8e05a1f4a1e72e919a92d3a6acff9
--- /dev/null
+++ b/results/test/hyperbola/problem_0865.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:648672480dfe5ffa9d48c721eae9fe76c83e110263b5f89dc898ad1d0f81db01
+size 268540
diff --git a/results/test/hyperbola/problem_0868.png b/results/test/hyperbola/problem_0868.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a14904c8ec6c67dab21fa3d439c5d426933a628
--- /dev/null
+++ b/results/test/hyperbola/problem_0868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a0e0563367e11d7fcf2c8d757a843e88b9413e397814e05ebb8f2313f8f4558
+size 279919
diff --git a/results/test/hyperbola/problem_0871.png b/results/test/hyperbola/problem_0871.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf186895d4d945464aea4a84ba57207615933aa6
--- /dev/null
+++ b/results/test/hyperbola/problem_0871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69289ccaa859c84fa7a8587cc22b1e890bcef2b77a3e7a7eaadfcae87435d817
+size 277698
diff --git a/results/test/hyperbola/problem_0874.png b/results/test/hyperbola/problem_0874.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd0b1ba07b56145095fc682ea178f044c87ce0fb
--- /dev/null
+++ b/results/test/hyperbola/problem_0874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53a7d79c65bfe46985fcf234617e605b0a6cca9ca3c5a94fb3f1a534454ab2a5
+size 267552
diff --git a/results/test/hyperbola/problem_0878.png b/results/test/hyperbola/problem_0878.png
new file mode 100644
index 0000000000000000000000000000000000000000..f6b72e8b5f1918fa1f3e47afca4b213896fe9b61
--- /dev/null
+++ b/results/test/hyperbola/problem_0878.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2928daf5ad90debad4771a2f93fa4e77474afc4cc00136b9dc432a9451e74b5f
+size 275256
diff --git a/results/test/hyperbola/problem_0879.png b/results/test/hyperbola/problem_0879.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa27416115cc79e796474f2c246ef22b5737e4dd
--- /dev/null
+++ b/results/test/hyperbola/problem_0879.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:438a6f405507d1237513e71b61745904b27381d0489b5dd60510fdf89ed2868d
+size 260832
diff --git a/results/test/hyperbola/problem_0881.png b/results/test/hyperbola/problem_0881.png
new file mode 100644
index 0000000000000000000000000000000000000000..abcb4cdc88ca1df9fe907618d4f5c3616959221b
--- /dev/null
+++ b/results/test/hyperbola/problem_0881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24f05497037a82503f4b1f111724788c3ff39762139311822301d6c8389b4fa4
+size 274271
diff --git a/results/test/hyperbola/problem_0883.png b/results/test/hyperbola/problem_0883.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0ac5228de38aef3e5f76ea7c58e0e331fa3ef56
--- /dev/null
+++ b/results/test/hyperbola/problem_0883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60160a9d46ea7e10dfdc5541947e97b79f7d6d4fce093e49a8ac81393360fe02
+size 281722
diff --git a/results/test/hyperbola/problem_0885.png b/results/test/hyperbola/problem_0885.png
new file mode 100644
index 0000000000000000000000000000000000000000..36c7ac5fb8f359b6b505d102fcbe6afc3643da6d
--- /dev/null
+++ b/results/test/hyperbola/problem_0885.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:558273776646705e84610b4d340fa4a6d3c5e13fe9098857f4b067039205f190
+size 255256
diff --git a/results/test/hyperbola/problem_0886.png b/results/test/hyperbola/problem_0886.png
new file mode 100644
index 0000000000000000000000000000000000000000..967f9c36663f928fb3f3404dc63032c416fb0b41
--- /dev/null
+++ b/results/test/hyperbola/problem_0886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40caf9f01d18e55d37aaa497427c883e681d993aefa7d9d0432afd6b73c63421
+size 257656
diff --git a/results/test/hyperbola/problem_0889.png b/results/test/hyperbola/problem_0889.png
new file mode 100644
index 0000000000000000000000000000000000000000..21003636ff04b3be81d11b10919005b5a6f7727e
--- /dev/null
+++ b/results/test/hyperbola/problem_0889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dde1037dc9c4916d15a4e76cf3291cc24a8d0a0230a78b44516f45517bd43bb9
+size 281414
diff --git a/results/test/hyperbola/problem_0890.png b/results/test/hyperbola/problem_0890.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cc03d7720c7859cfe3e72e82537c84b8a44c1fb
--- /dev/null
+++ b/results/test/hyperbola/problem_0890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a18f13947c493455793d870c39566079fd3b7e44c754edca9d1f1ada673dae2
+size 257352
diff --git a/results/test/hyperbola/problem_0894.png b/results/test/hyperbola/problem_0894.png
new file mode 100644
index 0000000000000000000000000000000000000000..023cadfae936478dfc49f7f3a6d99fa8ba3b58c5
--- /dev/null
+++ b/results/test/hyperbola/problem_0894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff41fe6fe993f6f6c862350d9be314b05599e520e2b593ca66f08cd45334c79e
+size 253518
diff --git a/results/test/hyperbola/problem_0895.png b/results/test/hyperbola/problem_0895.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c2d397ef1ae14291f29d84abd11a8a1ad74f534
--- /dev/null
+++ b/results/test/hyperbola/problem_0895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:616134237b3fca237e9df72892abe0b10d775a5b344c6ca9d7d0c2fd6ecf2a57
+size 264484
diff --git a/results/test/hyperbola/problem_0896.png b/results/test/hyperbola/problem_0896.png
new file mode 100644
index 0000000000000000000000000000000000000000..1abe4354532ce4868b9d431eeda82e34c104cd22
--- /dev/null
+++ b/results/test/hyperbola/problem_0896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6e80aad296bdfd224c1f37c67376a4361ac120b687af402646f0362c8825493
+size 258924
diff --git a/results/test/hyperbola/problem_0897.png b/results/test/hyperbola/problem_0897.png
new file mode 100644
index 0000000000000000000000000000000000000000..26a03b3031d8a9a895adb78d3b2382b205f05dac
--- /dev/null
+++ b/results/test/hyperbola/problem_0897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:761dafd13debab1f061d3cff1c95b94b811e96ed2f4c45471cc78af7425885df
+size 268662
diff --git a/results/test/hyperbola/problem_0898.png b/results/test/hyperbola/problem_0898.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f4561a79534d3d72ad8c7e36c9f07a6025c16e3
--- /dev/null
+++ b/results/test/hyperbola/problem_0898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bad3fc1c0a6da4a3445bc7f0702533c7ea2a213555c2a4ca7f35538b184714cc
+size 267287
diff --git a/results/test/hyperbola/problem_0901.png b/results/test/hyperbola/problem_0901.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ee29dd844398a5fc49d2358642ccf7194713a86
--- /dev/null
+++ b/results/test/hyperbola/problem_0901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f094ae66d17dec8a823117f81265025b99b01753f1d97613bef1bfb4f670efa
+size 256856
diff --git a/results/test/hyperbola/problem_0907.png b/results/test/hyperbola/problem_0907.png
new file mode 100644
index 0000000000000000000000000000000000000000..b145ba47228fdbf92b94ff0e732f9284f502e436
--- /dev/null
+++ b/results/test/hyperbola/problem_0907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d01013f89fef4c39d3eeb05439618a920c0374b3ce00df840a43fa2d9864649a
+size 271949
diff --git a/results/test/hyperbola/problem_0908.png b/results/test/hyperbola/problem_0908.png
new file mode 100644
index 0000000000000000000000000000000000000000..28de79e07221f382c8bf77dc819069a233ef03ed
--- /dev/null
+++ b/results/test/hyperbola/problem_0908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82fe23072f04390942390fd9356fab4103033d831a32022fd1dfce493d627179
+size 261298
diff --git a/results/test/hyperbola/problem_0909.png b/results/test/hyperbola/problem_0909.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8f9ad19c16564c8ad0b5f30acff86a462cd6f5c
--- /dev/null
+++ b/results/test/hyperbola/problem_0909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae39f36c226c80b9fca8004e113c1fdf4ce78680980cceff4623b0b12391f7cc
+size 232325
diff --git a/results/test/hyperbola/problem_0912.png b/results/test/hyperbola/problem_0912.png
new file mode 100644
index 0000000000000000000000000000000000000000..90c86d30b8f41da041facd34421ea2940b8126fa
--- /dev/null
+++ b/results/test/hyperbola/problem_0912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b706a83bbe349b8b7abb8aba44ed01707ca87e7fcfdecdb522fc81a446a0248
+size 262034
diff --git a/results/test/hyperbola/problem_0917.png b/results/test/hyperbola/problem_0917.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfe64af03fabed686fe3a822402e78d5887519ff
--- /dev/null
+++ b/results/test/hyperbola/problem_0917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27a936295af64bb02ac7f33a4baf45fd9846d0e5e796c7f9a3e5213ecea50ae3
+size 260468
diff --git a/results/test/hyperbola/problem_0919.png b/results/test/hyperbola/problem_0919.png
new file mode 100644
index 0000000000000000000000000000000000000000..1782bef774ee18e531ad0d33da2b4d2d3e4b3fc7
--- /dev/null
+++ b/results/test/hyperbola/problem_0919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c83e96489fa0f429c4d3c496bd08e694b789cc676fd7d234675ade887708e13b
+size 276903
diff --git a/results/test/hyperbola/problem_0921.png b/results/test/hyperbola/problem_0921.png
new file mode 100644
index 0000000000000000000000000000000000000000..26f6ea88680c89dfa3e2fe80d13bb64e49813989
--- /dev/null
+++ b/results/test/hyperbola/problem_0921.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:291c63d9c7642f6c14022ddecf67746f25c68ecf82d4f822210f5e509c11a3fd
+size 274524
diff --git a/results/test/hyperbola/problem_0922.png b/results/test/hyperbola/problem_0922.png
new file mode 100644
index 0000000000000000000000000000000000000000..65f3e64f2fe7ac75783a77e534486bcf68a9e570
--- /dev/null
+++ b/results/test/hyperbola/problem_0922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec58a498f11988d073370f2ed98d1851854d509f03636e603b6490a757ad215c
+size 247873
diff --git a/results/test/hyperbola/problem_0925.png b/results/test/hyperbola/problem_0925.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a620692ab355325adbda6e79a1ad52f4d8df836
--- /dev/null
+++ b/results/test/hyperbola/problem_0925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61f44220c958eb7545b604465998c52d887dcdcf0068f0810e5d1215ea7e5cdc
+size 275175
diff --git a/results/test/hyperbola/problem_0927.png b/results/test/hyperbola/problem_0927.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e0863f1eea087f75268e9c28512d841df3f26f0
--- /dev/null
+++ b/results/test/hyperbola/problem_0927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2771b5150eea71d6b4e2a51181dbcb52b725ca871c22c2ac2c04a4cdbdea0adf
+size 292931
diff --git a/results/test/hyperbola/problem_0934.png b/results/test/hyperbola/problem_0934.png
new file mode 100644
index 0000000000000000000000000000000000000000..02e9d3997175d2a667cb3bb4c05985a99f223591
--- /dev/null
+++ b/results/test/hyperbola/problem_0934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c449380424fd3e75fc71ae4e8a37aad9a040923e3695b8a84ac239c1321bd3eb
+size 273447
diff --git a/results/test/hyperbola/problem_0936.png b/results/test/hyperbola/problem_0936.png
new file mode 100644
index 0000000000000000000000000000000000000000..43567630279827dc2051450dbfb2763391a47a8a
--- /dev/null
+++ b/results/test/hyperbola/problem_0936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cf564de83fd21e26ac497984178692d6bc40e42ff732f86f967cff502a9e81c
+size 267354
diff --git a/results/test/hyperbola/problem_0940.png b/results/test/hyperbola/problem_0940.png
new file mode 100644
index 0000000000000000000000000000000000000000..c29d35007d7d13105998f4aa2930f83229001d3c
--- /dev/null
+++ b/results/test/hyperbola/problem_0940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45b64180f439d09117b8c1f3b2fa372900b15133dbb4388e73b8848fbde42b57
+size 265267
diff --git a/results/test/hyperbola/problem_0945.png b/results/test/hyperbola/problem_0945.png
new file mode 100644
index 0000000000000000000000000000000000000000..de44a26f76ffbd3d2266c07e8b3946cdcac3e9c0
--- /dev/null
+++ b/results/test/hyperbola/problem_0945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b7d3a632e1550dfb6f3081c60a5f4af590c0a9a77e51ef50c67b032ac5461fc
+size 263567
diff --git a/results/test/hyperbola/problem_0948.png b/results/test/hyperbola/problem_0948.png
new file mode 100644
index 0000000000000000000000000000000000000000..71ab9e0b9917877f63630749fca4d809e9620753
--- /dev/null
+++ b/results/test/hyperbola/problem_0948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0be1e4640f1a21b642d5b5c9e685e5b16ab7973715adcea63cd937cb6c7d824e
+size 269566
diff --git a/results/test/hyperbola/problem_0949.png b/results/test/hyperbola/problem_0949.png
new file mode 100644
index 0000000000000000000000000000000000000000..59699e60aa57d5374f1e1880edf5ad28c0be43c7
--- /dev/null
+++ b/results/test/hyperbola/problem_0949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0b7ac1f458d077cd35da74b8c53c58ed89616e3ae3740a2ec8d02bf7efc4501
+size 254169
diff --git a/results/test/hyperbola/problem_0950.png b/results/test/hyperbola/problem_0950.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0b5b19212b8689ccfb14b4d9e90197a7b91f682
--- /dev/null
+++ b/results/test/hyperbola/problem_0950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4dabb97c380dc1cbf9e380b1455f442a8c3d9f2d2192b1a773aa237546864c2
+size 271989
diff --git a/results/test/hyperbola/problem_0956.png b/results/test/hyperbola/problem_0956.png
new file mode 100644
index 0000000000000000000000000000000000000000..5576647b4e89d9d0dcb4c385f6f0f5b339a9f632
--- /dev/null
+++ b/results/test/hyperbola/problem_0956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81f6403a3d32bdb76940e7afec7cdd30125cb05882efb35f75cd642ca9fd1068
+size 286916
diff --git a/results/test/hyperbola/problem_0959.png b/results/test/hyperbola/problem_0959.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7e600939c7d2fd05fba10f9c03178f0215d5991
--- /dev/null
+++ b/results/test/hyperbola/problem_0959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b72cff2b19ccc620a806f6febd5cfe809d485921d59cde67f431b1d81b6685a
+size 257283
diff --git a/results/test/hyperbola/problem_0963.png b/results/test/hyperbola/problem_0963.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5301e78456dd17fccd68a9e499521e05fd9be6f
--- /dev/null
+++ b/results/test/hyperbola/problem_0963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:761bd5f48e4620701f1ac669c4463f506d0d16a92a89eb1bc1e712d7b07fbbac
+size 273083
diff --git a/results/test/hyperbola/problem_0964.png b/results/test/hyperbola/problem_0964.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9fe2f53dcdb0156db4000a7077919bfb083db2b
--- /dev/null
+++ b/results/test/hyperbola/problem_0964.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d21cb03faacf02167890f80163f80f238b55776068f2bbd0322a7942b1d1dc2
+size 253598
diff --git a/results/test/hyperbola/problem_0968.png b/results/test/hyperbola/problem_0968.png
new file mode 100644
index 0000000000000000000000000000000000000000..37dd7ab01fa242145baa7b8c4cb6fbd90fd32e89
--- /dev/null
+++ b/results/test/hyperbola/problem_0968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccf09aff05c5d5d34518378b65fc48e5afff43806987bbe73e9bf410728857de
+size 260889
diff --git a/results/test/hyperbola/problem_0969.png b/results/test/hyperbola/problem_0969.png
new file mode 100644
index 0000000000000000000000000000000000000000..66238a3894f1c1b96e9e780130740285daff6263
--- /dev/null
+++ b/results/test/hyperbola/problem_0969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12df00eb35e2a987119e5fd584cd58fc5f945c9657ae4a7fb1483f5658e35e86
+size 297462
diff --git a/results/test/hyperbola/problem_0970.png b/results/test/hyperbola/problem_0970.png
new file mode 100644
index 0000000000000000000000000000000000000000..e186345df4487012c8ce68a859bdb64da9ccf3cd
--- /dev/null
+++ b/results/test/hyperbola/problem_0970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc7a43e418ac2c672b2e2d687face2ecf329f71a6228407952e14ca1084cbf62
+size 263551
diff --git a/results/test/hyperbola/problem_0971.png b/results/test/hyperbola/problem_0971.png
new file mode 100644
index 0000000000000000000000000000000000000000..617cd1d478c3110d10de47f1abf4d58c7ac64c67
--- /dev/null
+++ b/results/test/hyperbola/problem_0971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a0db1e9289b3f663ca1c39de0d9562f13e3dd63c61d5843a382269f3fcb9850
+size 302297
diff --git a/results/test/hyperbola/problem_0984.png b/results/test/hyperbola/problem_0984.png
new file mode 100644
index 0000000000000000000000000000000000000000..06480bd8da891b0e92157a9a612e0218aca905fe
--- /dev/null
+++ b/results/test/hyperbola/problem_0984.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:330657976c3a638a736ed2568298d169e5836c653db3a30c04fb54662c6f0910
+size 296030
diff --git a/results/test/hyperbola/problem_0996.png b/results/test/hyperbola/problem_0996.png
new file mode 100644
index 0000000000000000000000000000000000000000..43c8dfb3c7176fd054f8c60d7967aeca4cbfe00b
--- /dev/null
+++ b/results/test/hyperbola/problem_0996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d2e456efeead9f8c70c5c42d24c9f08a394cc9642ece2965e080d1129ed96ac
+size 275091
diff --git a/results/test/hyperbola/problem_1002.png b/results/test/hyperbola/problem_1002.png
new file mode 100644
index 0000000000000000000000000000000000000000..cff64ebb1011e5732b133c8f1f1a301555450a63
--- /dev/null
+++ b/results/test/hyperbola/problem_1002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63ee45d883099c7837f056827cf11a4d62bd7f268495b73f87c6d6d08a8e4244
+size 281556
diff --git a/results/test/hyperbola/problem_1006.png b/results/test/hyperbola/problem_1006.png
new file mode 100644
index 0000000000000000000000000000000000000000..872fd6d9e487e811d5c8da2588fcf02a27e9308b
--- /dev/null
+++ b/results/test/hyperbola/problem_1006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4e93447ca89391236f41c4916ffe4c3c70e4cc0f5baa5f453dabdc223843016
+size 280867
diff --git a/results/test/hyperbola/problem_1009.png b/results/test/hyperbola/problem_1009.png
new file mode 100644
index 0000000000000000000000000000000000000000..cdf3c5cf0612ed441baea9b1ae11a3c732e7042c
--- /dev/null
+++ b/results/test/hyperbola/problem_1009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7dc72a8ec035a18881b469305c5a0c0825e45dc9075b12f35983e21c67e169dc
+size 273627
diff --git a/results/test/hyperbola/problem_1017.png b/results/test/hyperbola/problem_1017.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cf9d38fc5b5c7ad30e0d3b52670ca4e54ea849e
--- /dev/null
+++ b/results/test/hyperbola/problem_1017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75d688ca97d38279f332879feaf1335c018adeb9284c0752ca5063039e190abb
+size 273319
diff --git a/results/test/hyperbola/problem_1021.png b/results/test/hyperbola/problem_1021.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae0e7a5fa36bf94b07a542330d2f9b7543b6a8e5
--- /dev/null
+++ b/results/test/hyperbola/problem_1021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70ab02be7eafcabe635492070f0a16d3e082c53fa989135715391654648dc994
+size 268935
diff --git a/results/test/hyperbola/problem_1026.png b/results/test/hyperbola/problem_1026.png
new file mode 100644
index 0000000000000000000000000000000000000000..135a71c42cade247215efe7e74690db6d4471d96
--- /dev/null
+++ b/results/test/hyperbola/problem_1026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:733626c57e9d05f1b9ae557a5a6ee58b88e0d95cdebb8fbb033575573f4f6490
+size 278012
diff --git a/results/test/hyperbola/problem_1029.png b/results/test/hyperbola/problem_1029.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cf61f071e055a0ebad11aa959ca621ebb1b0e5d
--- /dev/null
+++ b/results/test/hyperbola/problem_1029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fe6a0c3afe85358711f79d1ae39ba01c86eb82c2d034f4f0178f94c4040917f
+size 257983
diff --git a/results/test/hyperbola/problem_1033.png b/results/test/hyperbola/problem_1033.png
new file mode 100644
index 0000000000000000000000000000000000000000..40536dd2300189239b292ea7bc76a76e38c28110
--- /dev/null
+++ b/results/test/hyperbola/problem_1033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2de1b6e1705e4e457271ad0e4f48f7806b33283f0fb488a96cfff66cc6da22a8
+size 266073
diff --git a/results/test/hyperbola/problem_1034.png b/results/test/hyperbola/problem_1034.png
new file mode 100644
index 0000000000000000000000000000000000000000..f222446a4b5fa8f9b31466c99e4b5f78f87b30c5
--- /dev/null
+++ b/results/test/hyperbola/problem_1034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d52186167ccf6eba03fdfd3a332fc8f63a65437588a431d22ec3934c0a5bd8a2
+size 267234
diff --git a/results/test/hyperbola/problem_1038.png b/results/test/hyperbola/problem_1038.png
new file mode 100644
index 0000000000000000000000000000000000000000..654a309482d75c61f022067d15f30b24eeaf06cd
--- /dev/null
+++ b/results/test/hyperbola/problem_1038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6db95429a203e3e4c0dbed957e3bc2893698e9b741498bd139722abb4debcf3c
+size 265636
diff --git a/results/test/hyperbola/problem_1040.png b/results/test/hyperbola/problem_1040.png
new file mode 100644
index 0000000000000000000000000000000000000000..7818cd468769b0507eac495d0a94832fff34c99c
--- /dev/null
+++ b/results/test/hyperbola/problem_1040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ee2eff1df2bf4de3f256a1eabded628ada816d15a2012a96ee5059ac6c4e62b
+size 270114
diff --git a/results/test/hyperbola/problem_1041.png b/results/test/hyperbola/problem_1041.png
new file mode 100644
index 0000000000000000000000000000000000000000..d179f8fd2346c3ae2a760caa071dba90afcf76db
--- /dev/null
+++ b/results/test/hyperbola/problem_1041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d710729c8931075a922113bcccc3b344eb3269a352cb939506901288c4e7a37
+size 267832
diff --git a/results/test/hyperbola/problem_1047.png b/results/test/hyperbola/problem_1047.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c4d75328677b5f06fa77c5110a1b45cffff13a9
--- /dev/null
+++ b/results/test/hyperbola/problem_1047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8ae0a5aa0b84b68b5d3c24efddf838e5ac59c0b2c7c80ca07771bd31ea0ef9b
+size 284972
diff --git a/results/test/hyperbola/problem_1059.png b/results/test/hyperbola/problem_1059.png
new file mode 100644
index 0000000000000000000000000000000000000000..89e1e9bd748a6d79be9d5e54bcd627bf505be62d
--- /dev/null
+++ b/results/test/hyperbola/problem_1059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a2b791ec9a24ef43b0a8ff6f2645712c1d09807d8aef2b02c12473aa5728b48
+size 272578
diff --git a/results/test/hyperbola/problem_1060.png b/results/test/hyperbola/problem_1060.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dad0f3eea6d30fbf119c47d4764135783355f9d
--- /dev/null
+++ b/results/test/hyperbola/problem_1060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b213535a15b1c6a5fcaf8f092aeb5594dddee61f0b408e554719ecb674fb2b3
+size 262619
diff --git a/results/test/hyperbola/problem_1064.png b/results/test/hyperbola/problem_1064.png
new file mode 100644
index 0000000000000000000000000000000000000000..236adbc238ea4ce1c3e7110270ecd22390af5222
--- /dev/null
+++ b/results/test/hyperbola/problem_1064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2118a41fb3fdd7def713712f792d0fe0534c4334ddb41eddfe1c2fb7c0a5623
+size 268193
diff --git a/results/test/hyperbola/problem_1065.png b/results/test/hyperbola/problem_1065.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0a2214ab7e37032c542dcf1be2c1c0998b6559d
--- /dev/null
+++ b/results/test/hyperbola/problem_1065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05e5246570d2d47947ae3e8b338d8bb8c1feaf2bbbc0557ca17306294efc05d6
+size 261052
diff --git a/results/test/hyperbola/problem_1071.png b/results/test/hyperbola/problem_1071.png
new file mode 100644
index 0000000000000000000000000000000000000000..d93b64e89eb7a8bc37fa0b1470f6454439dbe9b1
--- /dev/null
+++ b/results/test/hyperbola/problem_1071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5d9c6562828ead47fdb15c858d961dd4f9a716acfffa4b43f88ea4ba3166271
+size 270258
diff --git a/results/test/hyperbola/problem_1077.png b/results/test/hyperbola/problem_1077.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d7d52f18b6aa8954a427aa330fb5e917483824b
--- /dev/null
+++ b/results/test/hyperbola/problem_1077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9d8c8f185120f6504becaa64e3fab79e3407226238db78ee617f72f59b77211
+size 274546
diff --git a/results/test/hyperbola/problem_1084.png b/results/test/hyperbola/problem_1084.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe1d5da3c149e62afcb27212832283e19a054f4b
--- /dev/null
+++ b/results/test/hyperbola/problem_1084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:833dcb3711eb092774731735470d2e02db2067355007ce08a6658b46608ee569
+size 272277
diff --git a/results/test/hyperbola/problem_1086.png b/results/test/hyperbola/problem_1086.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb916b123aff0799762197ffd55d2951ed4e4cf7
--- /dev/null
+++ b/results/test/hyperbola/problem_1086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed2b0bbdfb885a0ba77a39c5314e92e21847536694e7ed70678300857c124132
+size 207846
diff --git a/results/test/hyperbola/problem_1087.png b/results/test/hyperbola/problem_1087.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3cb4cd23874ab00a9fd9ee64d217b92d82fe30d
--- /dev/null
+++ b/results/test/hyperbola/problem_1087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a134ef19080e9911eb5fa6961e2af578a714b6655fdcac306082c2ff73d46c6
+size 246479
diff --git a/results/test/hyperbola/problem_1089.png b/results/test/hyperbola/problem_1089.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a237f5caa04f4f7ac3387d77a22f8230ad6bc76
--- /dev/null
+++ b/results/test/hyperbola/problem_1089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ab004a4e842771afa999a1db63f2971fdf0b418fa4ad808dbd818db4b736b79
+size 280737
diff --git a/results/test/hyperbola/problem_1096.png b/results/test/hyperbola/problem_1096.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ff4da3b8525129598e0e04b35d3645d24f823ac
--- /dev/null
+++ b/results/test/hyperbola/problem_1096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e618fefa27d8d258675fac89a65339582d87c67d811cc4cfc7b10f0cf2115d00
+size 268678
diff --git a/results/test/hyperbola/problem_1097.png b/results/test/hyperbola/problem_1097.png
new file mode 100644
index 0000000000000000000000000000000000000000..85ef8365569d1818f4bee32c48d630b0ca169cb7
--- /dev/null
+++ b/results/test/hyperbola/problem_1097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a580f33e3a2019aac693e4f37a990e980ac32ab73c0f707ebb6d72b360db36a2
+size 280923
diff --git a/results/test/hyperbola/problem_1105.png b/results/test/hyperbola/problem_1105.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b3ac8008092de3ceed577f70a3a2495b12badb0
--- /dev/null
+++ b/results/test/hyperbola/problem_1105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:898667f5dfa44cfed10d99d0edd289e39d48dc1fdb34b160165238b20731abce
+size 271199
diff --git a/results/test/hyperbola/problem_1106.png b/results/test/hyperbola/problem_1106.png
new file mode 100644
index 0000000000000000000000000000000000000000..f49436414bef6fa34dc4e2ff201c0f676d751058
--- /dev/null
+++ b/results/test/hyperbola/problem_1106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:623a4694a5247ab2fa67217226137dba7a18d63ee5340c2dc4122483ab50e925
+size 257249
diff --git a/results/test/hyperbola/problem_1108.png b/results/test/hyperbola/problem_1108.png
new file mode 100644
index 0000000000000000000000000000000000000000..be16169182d7f44f5a0f3a7140b5586bff4ab5a7
--- /dev/null
+++ b/results/test/hyperbola/problem_1108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bbb48e6e96f319c137d3468d4b9b74039384057e780c131704da73fcd6057ed
+size 223610
diff --git a/results/test/hyperbola/problem_1109.png b/results/test/hyperbola/problem_1109.png
new file mode 100644
index 0000000000000000000000000000000000000000..3744a68fe9af4dada91daf795ff7811ed80770d0
--- /dev/null
+++ b/results/test/hyperbola/problem_1109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8a3ca918ef592f553939fa7c0ee2723d5fca6c96b14be8f677588a6e754404b
+size 266680
diff --git a/results/test/hyperbola/problem_1113.png b/results/test/hyperbola/problem_1113.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2803c7ec0a01d552ef67871c06547e920ca031d
--- /dev/null
+++ b/results/test/hyperbola/problem_1113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:643a12d04e9128cf92d3a7ea0c6a835b8ca96c4573f35737765b5e49d548bb6b
+size 224752
diff --git a/results/test/hyperbola/problem_1114.png b/results/test/hyperbola/problem_1114.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f13ee6949cc6c86e15048cde88abce24c0aee8a
--- /dev/null
+++ b/results/test/hyperbola/problem_1114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d256f5a27f6d0e13ae584738420903f270a07a7074024c11411bb31eea81699
+size 270792
diff --git a/results/test/hyperbola/problem_1116.png b/results/test/hyperbola/problem_1116.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c20d23a6042d9c1469bd65b4e87be46906e278c
--- /dev/null
+++ b/results/test/hyperbola/problem_1116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:538c1fcd89dc8cdbae67af610bd59d926fd3b41d2a7f19867a5fd3be3bb8928c
+size 251629
diff --git a/results/test/hyperbola/problem_1120.png b/results/test/hyperbola/problem_1120.png
new file mode 100644
index 0000000000000000000000000000000000000000..3248ca3ffcf0b0d6464ceb0e0e4244a8264c8b35
--- /dev/null
+++ b/results/test/hyperbola/problem_1120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92d8bffc1f47341bac147d7dcf80c0a7468d9f6f9113bc914abe88a3fa1f1989
+size 253684
diff --git a/results/test/hyperbola/problem_1122.png b/results/test/hyperbola/problem_1122.png
new file mode 100644
index 0000000000000000000000000000000000000000..798c298295cf52ae1d781a80fa1facbc14e6ea21
--- /dev/null
+++ b/results/test/hyperbola/problem_1122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:037208f4d9959eefb66f0e3575d8a86ee95093381b71511767ed3e10d9f05077
+size 269823
diff --git a/results/test/hyperbola/problem_1123.png b/results/test/hyperbola/problem_1123.png
new file mode 100644
index 0000000000000000000000000000000000000000..949e99e5175cdcca1abc4a4bb64ff63a061796d2
--- /dev/null
+++ b/results/test/hyperbola/problem_1123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21332cbf72249ee092d93ad31cafbc09ec6fe11f3e77fe9b9d87ec5416f2223b
+size 260264
diff --git a/results/test/hyperbola/problem_1132.png b/results/test/hyperbola/problem_1132.png
new file mode 100644
index 0000000000000000000000000000000000000000..3de29c31f331438cb076b11d500d64e4001cd6de
--- /dev/null
+++ b/results/test/hyperbola/problem_1132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9780a57a0ea2614d653814f12f177b3e54e1f3f280d97d249545544bd9e0a28
+size 312086
diff --git a/results/test/hyperbola/problem_1136.png b/results/test/hyperbola/problem_1136.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1d87932c51a7d99fb6a930324261181d30744ae
--- /dev/null
+++ b/results/test/hyperbola/problem_1136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:344d3bbcc056c56cf621e00f00b47b5eb5b9da942bf299e0972bbf19f64d08f5
+size 258426
diff --git a/results/test/hyperbola/problem_1137.png b/results/test/hyperbola/problem_1137.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd6fb1ea61cd6b7c668a74eb54c892f0014fbf0b
--- /dev/null
+++ b/results/test/hyperbola/problem_1137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3de207e51f1b470e2f211b40c268165025940f10c35a1e3d7a7599130854c5a
+size 254953
diff --git a/results/test/hyperbola/problem_1142.png b/results/test/hyperbola/problem_1142.png
new file mode 100644
index 0000000000000000000000000000000000000000..9deb21e3d167f64346eb1c13fa1af93d638fbe93
--- /dev/null
+++ b/results/test/hyperbola/problem_1142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ee8e085177be14d395b16df49b58e1d9d0af7278f418044e8783dd0195f6b14
+size 287107
diff --git a/results/test/hyperbola/problem_1145.png b/results/test/hyperbola/problem_1145.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9d724e8df094655e439baa3195d40ff457638d8
--- /dev/null
+++ b/results/test/hyperbola/problem_1145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3f7b419783c6098966c6f2e8dcb8d518a4e1ee7a45e24aece95ed1a57f3cc83
+size 289344
diff --git a/results/test/hyperbola/problem_1146.png b/results/test/hyperbola/problem_1146.png
new file mode 100644
index 0000000000000000000000000000000000000000..550d046578629b84d4fac9d4a75c86e98539ee1e
--- /dev/null
+++ b/results/test/hyperbola/problem_1146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25e92f356e7673874c8c71c001269b5a4ea06f3203867d70fd2a1e74a270073d
+size 261928
diff --git a/results/test/hyperbola/problem_1152.png b/results/test/hyperbola/problem_1152.png
new file mode 100644
index 0000000000000000000000000000000000000000..f191d00dc4a34091765a9ebcf7a9b30bf8572e1e
--- /dev/null
+++ b/results/test/hyperbola/problem_1152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a530babb41e353f4610d4a98ce0f827072277e1cb17a773dd5f6e61551d51b91
+size 264242
diff --git a/results/test/hyperbola/problem_1155.png b/results/test/hyperbola/problem_1155.png
new file mode 100644
index 0000000000000000000000000000000000000000..486f4fefca5324a640a57f535b3d1fccca381365
--- /dev/null
+++ b/results/test/hyperbola/problem_1155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b200bf45e5d7d2fa04a3ed6db21592686dac4aee48dd7a240ff0891f449d54e
+size 262174
diff --git a/results/test/hyperbola/problem_1157.png b/results/test/hyperbola/problem_1157.png
new file mode 100644
index 0000000000000000000000000000000000000000..47d5232cfab7400c86e72e04f63b718ff735d20b
--- /dev/null
+++ b/results/test/hyperbola/problem_1157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74b104d55b8acde0315d17e86728da60e458fe1c4ad5dee50c2dc445a3e3bf17
+size 262076
diff --git a/results/test/hyperbola/problem_1161.png b/results/test/hyperbola/problem_1161.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a43f48ce16006a08923d389f6d875c0d84308e9
--- /dev/null
+++ b/results/test/hyperbola/problem_1161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dff11a1fe1b0902df3646eba276c7574bbbdf0be4bd708dbd279baed32673a4c
+size 275629
diff --git a/results/test/hyperbola/problem_1165.png b/results/test/hyperbola/problem_1165.png
new file mode 100644
index 0000000000000000000000000000000000000000..13254d1eb2b8e4de1f7357abd9eaf3e4a5299b46
--- /dev/null
+++ b/results/test/hyperbola/problem_1165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:124e641cf9a46fa05f5018572268d017b7a523f705feb85448aa658488e52d5d
+size 229282
diff --git a/results/test/hyperbola/problem_1166.png b/results/test/hyperbola/problem_1166.png
new file mode 100644
index 0000000000000000000000000000000000000000..1edb8e5724c4cdeb705299d6cb4ef1e89da4df93
--- /dev/null
+++ b/results/test/hyperbola/problem_1166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8820ea2646a032e8354f5e2f39909a78e1fb95425466d2252d1abb8d3cc0d889
+size 245298
diff --git a/results/test/hyperbola/problem_1167.png b/results/test/hyperbola/problem_1167.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbbb0b653cd377cd792f4fe18fe1f30f37ce714a
--- /dev/null
+++ b/results/test/hyperbola/problem_1167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8075f6a6c477b7430327989c6d6359c0792b0ba2d08a25bf8ad78a1ee0b4af2b
+size 264005
diff --git a/results/test/hyperbola/problem_1168.png b/results/test/hyperbola/problem_1168.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c775c91feda4f1dfee6156520ed61f8f264e5f6
--- /dev/null
+++ b/results/test/hyperbola/problem_1168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97c51eaed6ca0e0762e89dc1e96f23945f8c014985130ca7d6c354a23955c835
+size 260387
diff --git a/results/test/hyperbola/problem_1170.png b/results/test/hyperbola/problem_1170.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d2e3f831ab5854b6be8f89349606e06b5cfa61a
--- /dev/null
+++ b/results/test/hyperbola/problem_1170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8962fa624a37715527b57580c887437ac1705b34507f665a7f69d7bf798c9ce2
+size 233014
diff --git a/results/test/hyperbola/problem_1174.png b/results/test/hyperbola/problem_1174.png
new file mode 100644
index 0000000000000000000000000000000000000000..231f75c2218de3c3de1cf25fe585055eea2d94e2
--- /dev/null
+++ b/results/test/hyperbola/problem_1174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90587bb86b51b7802580e971e244cda91baa62d691816270e35395442f0672b2
+size 270682
diff --git a/results/test/hyperbola/problem_1175.png b/results/test/hyperbola/problem_1175.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8a965f8a4f9124db485ac4d5524f9f527b6eeea
--- /dev/null
+++ b/results/test/hyperbola/problem_1175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da931f97ecd59ab422c9523b84de8e50e53b815181be74afb780497f8c4eae83
+size 253875
diff --git a/results/test/hyperbola/problem_1178.png b/results/test/hyperbola/problem_1178.png
new file mode 100644
index 0000000000000000000000000000000000000000..a36c2bf62d2688294a315d8edd0ceb1b661d64ef
--- /dev/null
+++ b/results/test/hyperbola/problem_1178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c769cd616b1d86dd27bc93b847ca0ce2d9b67b2d8a454b8cff969f1210991855
+size 285584
diff --git a/results/test/hyperbola/problem_1180.png b/results/test/hyperbola/problem_1180.png
new file mode 100644
index 0000000000000000000000000000000000000000..62cc6520020d72c6bffab6fb43c0d91d76d27230
--- /dev/null
+++ b/results/test/hyperbola/problem_1180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7179eddc2ab7e97c1be6bdbfa4b74492a04a8b7f2fa1429027a6446ba1280b57
+size 278443
diff --git a/results/test/hyperbola/problem_1182.png b/results/test/hyperbola/problem_1182.png
new file mode 100644
index 0000000000000000000000000000000000000000..c605f50782bf01e545c6cd94da35d0a2191d4a07
--- /dev/null
+++ b/results/test/hyperbola/problem_1182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f59c7627defe616557eb72a2464d3625e5af626a575288b9348d1287616393f
+size 262065
diff --git a/results/test/hyperbola/problem_1184.png b/results/test/hyperbola/problem_1184.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe19429b7f92b6b30418b77c952547219c971a10
--- /dev/null
+++ b/results/test/hyperbola/problem_1184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4473f770314c35e15e21f288bf1991c769ecba50052a73d3069bb383e2189a1b
+size 261181
diff --git a/results/test/hyperbola/problem_1185.png b/results/test/hyperbola/problem_1185.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee6875358e177632a34aacfc197bd1e24218382a
--- /dev/null
+++ b/results/test/hyperbola/problem_1185.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:408d1af4c55da2069ffbac2b06a19e422bef5bab5817e7d0b7b82b62396720b2
+size 239840
diff --git a/results/test/hyperbola/problem_1186.png b/results/test/hyperbola/problem_1186.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3c322932e4681aa917339903f111bddcc10daad
--- /dev/null
+++ b/results/test/hyperbola/problem_1186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85eaffcdace8607071715725d4baf054045b90eb8dcaf1ab29a7a895ee794dec
+size 268505
diff --git a/results/test/hyperbola/problem_1187.png b/results/test/hyperbola/problem_1187.png
new file mode 100644
index 0000000000000000000000000000000000000000..511a798a16583f6b724d343eec987b0945745995
--- /dev/null
+++ b/results/test/hyperbola/problem_1187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c648efe08e2a983ceb058f56daecb61722ae195b025025a0e6662ba6cb9dcd26
+size 277258
diff --git a/results/test/hyperbola/problem_1188.png b/results/test/hyperbola/problem_1188.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c75e9f145a066b6b219d7d90c9e4548faaf3239
--- /dev/null
+++ b/results/test/hyperbola/problem_1188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e473fd8f79b72c1746303eea8c190fe9fe1ccfc788e2494d7acadfd7d6fecf4
+size 257097
diff --git a/results/test/hyperbola/problem_1194.png b/results/test/hyperbola/problem_1194.png
new file mode 100644
index 0000000000000000000000000000000000000000..dff55c88e93bbff178516e406af85f8248ddeffb
--- /dev/null
+++ b/results/test/hyperbola/problem_1194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dba45b5acd54ae2b5b198a48c1620874404c0c0e8b6456e5d040bc8a366d9342
+size 279989
diff --git a/results/test/hyperbola/problem_1203.png b/results/test/hyperbola/problem_1203.png
new file mode 100644
index 0000000000000000000000000000000000000000..da777841e9ef897de64135637307402cc5117f25
--- /dev/null
+++ b/results/test/hyperbola/problem_1203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71b5690b1b63a91bcc3fc4181bacf10086b6c2818df6ac23172fffbf008dfd68
+size 268627
diff --git a/results/test/hyperbola/problem_1204.png b/results/test/hyperbola/problem_1204.png
new file mode 100644
index 0000000000000000000000000000000000000000..562bc54d988993ae8d8bd9cc5b16fb3c3d3e01e2
--- /dev/null
+++ b/results/test/hyperbola/problem_1204.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bf23e11affd509e5447be67efbb2251ab939b51e024419dde566a8bea740767
+size 268344
diff --git a/results/test/hyperbola/problem_1214.png b/results/test/hyperbola/problem_1214.png
new file mode 100644
index 0000000000000000000000000000000000000000..acee65b69f4d8df8126738b55f0f81d89c3f20f3
--- /dev/null
+++ b/results/test/hyperbola/problem_1214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6304c7b5af1fc10f0b3d7fca06f3ea81a42ad25c435a7acf4b46277707048ba
+size 303328
diff --git a/results/test/hyperbola/problem_1220.png b/results/test/hyperbola/problem_1220.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ccf70a254259fa5fff41883ae69129406d61f1e
--- /dev/null
+++ b/results/test/hyperbola/problem_1220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e461ac536e6469ea781ae4f771e85171481fba56c7180532a5866dc468774bc
+size 268273
diff --git a/results/test/hyperbola/problem_1223.png b/results/test/hyperbola/problem_1223.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a1614092176fbd6c0ccb0a903563f80b8073a18
--- /dev/null
+++ b/results/test/hyperbola/problem_1223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f73dc43ecf0403f65d0bed27f903bedbc421d0bbba76c112bc0f20daf2626708
+size 294725
diff --git a/results/test/hyperbola/problem_1230.png b/results/test/hyperbola/problem_1230.png
new file mode 100644
index 0000000000000000000000000000000000000000..9536128d9042176d0850afe31eacdb304c018e98
--- /dev/null
+++ b/results/test/hyperbola/problem_1230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddf1c937d7aa4b601649bf8b851b3210b77bfc0c549c66be9574d2fddb877fbf
+size 272895
diff --git a/results/test/hyperbola/problem_1234.png b/results/test/hyperbola/problem_1234.png
new file mode 100644
index 0000000000000000000000000000000000000000..3087938e1b38a985a25247377ff6246dcfa5ae7e
--- /dev/null
+++ b/results/test/hyperbola/problem_1234.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8420c7cc7c90ac8b2d7706716ec3600b85248e6e51cf5dee069f330aac73ffe
+size 258739
diff --git a/results/test/hyperbola/problem_1237.png b/results/test/hyperbola/problem_1237.png
new file mode 100644
index 0000000000000000000000000000000000000000..f36bbe7a7c25ea4a21b967c7c924068c582fda4d
--- /dev/null
+++ b/results/test/hyperbola/problem_1237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:205cc37a3ae42f084031ec54976ba6f0424c61eb7e5501fb0d03fbab9ab171d2
+size 247978
diff --git a/results/test/hyperbola/problem_1244.png b/results/test/hyperbola/problem_1244.png
new file mode 100644
index 0000000000000000000000000000000000000000..880becc615a47d465750281f4e4568fc9337427b
--- /dev/null
+++ b/results/test/hyperbola/problem_1244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d58f4965a0ee32affbfef62b487eaa6ca012e2ad8e9303a5c944f69e6561ea39
+size 264789
diff --git a/results/test/hyperbola/problem_1249.png b/results/test/hyperbola/problem_1249.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0ec13311c630f91aa58c3471cba28df2a35671c
--- /dev/null
+++ b/results/test/hyperbola/problem_1249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb23a5c9207fbda558f532c0b9e9caea8e340328e1d6007ec42c30a62c4cf829
+size 258545
diff --git a/results/test/hyperbola/problem_1251.png b/results/test/hyperbola/problem_1251.png
new file mode 100644
index 0000000000000000000000000000000000000000..71d7767b18e97f5f5b6a562c67583779009abaff
--- /dev/null
+++ b/results/test/hyperbola/problem_1251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6ca8813fd717db1d76364a4c26a97b3b819918412a4fb7340066e2e0d3b2d8b
+size 262876
diff --git a/results/test/hyperbola/problem_1254.png b/results/test/hyperbola/problem_1254.png
new file mode 100644
index 0000000000000000000000000000000000000000..58e22530c548b552d327560bf118db15795f2f0d
--- /dev/null
+++ b/results/test/hyperbola/problem_1254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59428f22817515f346980bc485af40a01519f37ac67cf49ac313d9c213f7391f
+size 252712
diff --git a/results/test/hyperbola/problem_1262.png b/results/test/hyperbola/problem_1262.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7c4b6a3dc492383e01322e9583c89008ac12240
--- /dev/null
+++ b/results/test/hyperbola/problem_1262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ab8ff5dbcba922e16c1235ac074c97f3f490541fe918e187ab784621c807dbb
+size 273579
diff --git a/results/test/hyperbola/problem_1265.png b/results/test/hyperbola/problem_1265.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8ee120f8b5adc019230b70d952ce78ed9ca2160
--- /dev/null
+++ b/results/test/hyperbola/problem_1265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:100c0966153e0eb312033070b64f6e8f1610664f939bcb3ea1ade029b9767450
+size 268712
diff --git a/results/test/hyperbola/problem_1268.png b/results/test/hyperbola/problem_1268.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0fe676c8f85c35bd2da5d497cb584c26fcadfdd
--- /dev/null
+++ b/results/test/hyperbola/problem_1268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:155adccf51010018419ce9d48954fcb6c68e62455ea201b0e6c288dc0b7afb01
+size 253143
diff --git a/results/test/hyperbola/problem_1271.png b/results/test/hyperbola/problem_1271.png
new file mode 100644
index 0000000000000000000000000000000000000000..19d3187497c920953dfc76ecc13aa72cc08ac59f
--- /dev/null
+++ b/results/test/hyperbola/problem_1271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e02fd90a0998eee060acb3d1ac2930f4ca209339117275fbbd41547f145bdee
+size 267158
diff --git a/results/test/hyperbola/problem_1280.png b/results/test/hyperbola/problem_1280.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6d46ac95d626cc87b08705edcded0745421635c
--- /dev/null
+++ b/results/test/hyperbola/problem_1280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82d6159ad0f3d0abe148c5a022dd697b2f31f19b9363d3a23f964929ff272c21
+size 257569
diff --git a/results/test/hyperbola/problem_1285.png b/results/test/hyperbola/problem_1285.png
new file mode 100644
index 0000000000000000000000000000000000000000..40a08b91208fbb71061bfdfdac6902a9b5a4e1d2
--- /dev/null
+++ b/results/test/hyperbola/problem_1285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce8dc47fd4cd8d742124627153b5010b54ebd7133d363b6374f3dc33163bbb7b
+size 261010
diff --git a/results/test/hyperbola/problem_1288.png b/results/test/hyperbola/problem_1288.png
new file mode 100644
index 0000000000000000000000000000000000000000..28e613f3cfa08b2ebf32b3e5beef46311a6020a9
--- /dev/null
+++ b/results/test/hyperbola/problem_1288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12b726c39ed8358bff00ad577563b4bbb55fb896aea76b8b062be4c357119dd7
+size 277032
diff --git a/results/test/hyperbola/problem_1289.png b/results/test/hyperbola/problem_1289.png
new file mode 100644
index 0000000000000000000000000000000000000000..c07c0d85873a993c192ea1327c67c8a086ac27ef
--- /dev/null
+++ b/results/test/hyperbola/problem_1289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e74b4f6550ced3beb69fdfd89883fbe536fd5b36078b61468cb01afd31c47c7
+size 268821
diff --git a/results/test/hyperbola/problem_1290.png b/results/test/hyperbola/problem_1290.png
new file mode 100644
index 0000000000000000000000000000000000000000..2789c35f29661f389706254af90b0be9f72e98b3
--- /dev/null
+++ b/results/test/hyperbola/problem_1290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7fc17f551c3594a3976e68f0a04b77eed53adba5ade73b9fa885c9bd279ae3d
+size 246738
diff --git a/results/test/hyperbola/problem_1291.png b/results/test/hyperbola/problem_1291.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b70dd3b0b55c2caac9a90c773a2e310b9cbcfbb
--- /dev/null
+++ b/results/test/hyperbola/problem_1291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18bf5b08f644fc445617b125c6d22ffd2391a61ca363f694a073290e75395b72
+size 272368
diff --git a/results/test/hyperbola/problem_1295.png b/results/test/hyperbola/problem_1295.png
new file mode 100644
index 0000000000000000000000000000000000000000..54cf87e39603a27b6ba7d9fab91d1672085382e0
--- /dev/null
+++ b/results/test/hyperbola/problem_1295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8e14319b3cfb49057ce9147cd1997f56077f5cd36ec7c532b942fb0d0137886
+size 276768
diff --git a/results/test/hyperbola/problem_1300.png b/results/test/hyperbola/problem_1300.png
new file mode 100644
index 0000000000000000000000000000000000000000..310bc14edbf4335b8aa72748c0026981786aad18
--- /dev/null
+++ b/results/test/hyperbola/problem_1300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4423162c4d378fd7af8e27b92bb38f32a0954b5c36e5ad7052c324b61dd5782
+size 267284
diff --git a/results/test/hyperbola/problem_1302.png b/results/test/hyperbola/problem_1302.png
new file mode 100644
index 0000000000000000000000000000000000000000..a36fa75475e2cfdce9bd30ec95e7d0675f4479ac
--- /dev/null
+++ b/results/test/hyperbola/problem_1302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d3f69881a7a3ecdea9485add43e0f62ea2c4eb872a96416bf507c2efcb6b6b2
+size 264440
diff --git a/results/test/hyperbola/problem_1305.png b/results/test/hyperbola/problem_1305.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7dfb7f9033897ad7982da100294a3f725fd18c9
--- /dev/null
+++ b/results/test/hyperbola/problem_1305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5cc193e7c43f322566772ea832b51f86aa7b608941926bb785067ea09a001ad
+size 269429
diff --git a/results/test/hyperbola/problem_1313.png b/results/test/hyperbola/problem_1313.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ba68ce2c65be3cde7c1488e5cc3ced6d02433a1
--- /dev/null
+++ b/results/test/hyperbola/problem_1313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:417f0a6b71a5d5a808b1e1ab394e2080e95a2fe6ad2779cae299caea9c260541
+size 270773
diff --git a/results/test/hyperbola/problem_1314.png b/results/test/hyperbola/problem_1314.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ae4e58266709b7e2aec27ee8904ab3bbb9cd46f
--- /dev/null
+++ b/results/test/hyperbola/problem_1314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa47b410ccd8cb812b20e30a3302f7f29da9d370da6fe7ac1b271e060536f307
+size 269683
diff --git a/results/test/hyperbola/problem_1318.png b/results/test/hyperbola/problem_1318.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd9310a1248bed73fe9d814e4bf987dffb63cca5
--- /dev/null
+++ b/results/test/hyperbola/problem_1318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5826c07f1555102ba32bd6ed64acc7854bd0564f895cb985d94d495f05668011
+size 251585
diff --git a/results/test/hyperbola/problem_1333.png b/results/test/hyperbola/problem_1333.png
new file mode 100644
index 0000000000000000000000000000000000000000..5461415b821c82f57397f54ae7ec0ec04e87c087
--- /dev/null
+++ b/results/test/hyperbola/problem_1333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37d37cade85a5cf7bf27e0e8ea1cf3f94831c004a019cf8723d445578ac9af40
+size 273809
diff --git a/results/test/hyperbola/problem_1336.png b/results/test/hyperbola/problem_1336.png
new file mode 100644
index 0000000000000000000000000000000000000000..1140a48e6ea0bd9d6fdd64b41895135b83487644
--- /dev/null
+++ b/results/test/hyperbola/problem_1336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:042c20cfc30dd8c6469e2a72ea080019a539857c84bdad7238cacc9794dc833b
+size 259870
diff --git a/results/test/hyperbola/problem_1337.png b/results/test/hyperbola/problem_1337.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d88ac52d6a3c3ff7a8f42bc431b09cd8fa572a3
--- /dev/null
+++ b/results/test/hyperbola/problem_1337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c6c595e69a1acf09a1f26a2beb87c286b4dfb4a40ec14d9e96d8cf87715615b
+size 258198
diff --git a/results/test/hyperbola/problem_1340.png b/results/test/hyperbola/problem_1340.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c6cbdee138d65813116c9c423f674c6e34c135c
--- /dev/null
+++ b/results/test/hyperbola/problem_1340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4bff1a75b7676253a446fc420e1a670f0d9739ebd3b513d721ff84c1b5fe311
+size 264309
diff --git a/results/test/hyperbola/problem_1342.png b/results/test/hyperbola/problem_1342.png
new file mode 100644
index 0000000000000000000000000000000000000000..464c4465b6412eec382b3740279da0bde4ef85f8
--- /dev/null
+++ b/results/test/hyperbola/problem_1342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da0dc181672469aa4744a82856ed9b7e65f066fbe82c46c8db4c2ee309316a74
+size 279061
diff --git a/results/test/hyperbola/problem_1344.png b/results/test/hyperbola/problem_1344.png
new file mode 100644
index 0000000000000000000000000000000000000000..c79513d990319bc6bbe061a355fb405c3aeff7ac
--- /dev/null
+++ b/results/test/hyperbola/problem_1344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d31a62336b1a2698e3dfdd5a7d54723dbc4d35a9caaeffebd451faa9fa97b224
+size 260722
diff --git a/results/test/hyperbola/problem_1350.png b/results/test/hyperbola/problem_1350.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d4f18244152d1e9dbe7601d501f0c088742a415
--- /dev/null
+++ b/results/test/hyperbola/problem_1350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2c62bf5e2ca7966f37da668ffe804404b4f46ea299bc602fc329e3e3e11299d
+size 265654
diff --git a/results/test/hyperbola/problem_1351.png b/results/test/hyperbola/problem_1351.png
new file mode 100644
index 0000000000000000000000000000000000000000..83128018bac580fb7d35fd6097c5338e1bdc1b40
--- /dev/null
+++ b/results/test/hyperbola/problem_1351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13dc96d22759794f4de36d5bb043609d113ebaa582a4567db96f068f18864448
+size 257668
diff --git a/results/test/hyperbola/problem_1357.png b/results/test/hyperbola/problem_1357.png
new file mode 100644
index 0000000000000000000000000000000000000000..d47a64f023889a4a1a38458e4ba95c31b41993d1
--- /dev/null
+++ b/results/test/hyperbola/problem_1357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a20c3dfeb1f971e71540fec5900b67c7401f0f0707bc32cedd87d57293bfeb21
+size 257091
diff --git a/results/test/hyperbola/problem_1359.png b/results/test/hyperbola/problem_1359.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fcb30a1b34cde886f56907e8a99bd630da9fa41
--- /dev/null
+++ b/results/test/hyperbola/problem_1359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bdbcb45804d9497e2e3af5284c34fdfec021ea627745f4520f10f5cdb5d6dcf
+size 270547
diff --git a/results/test/hyperbola/problem_1363.png b/results/test/hyperbola/problem_1363.png
new file mode 100644
index 0000000000000000000000000000000000000000..04254a34afa53cd160a9fb1a9e9f6482051d140a
--- /dev/null
+++ b/results/test/hyperbola/problem_1363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1090f5a35e7f823b9986ed6b827cac66e9b5d9c30e237a31370878ac4d666a94
+size 262899
diff --git a/results/test/hyperbola/problem_1369.png b/results/test/hyperbola/problem_1369.png
new file mode 100644
index 0000000000000000000000000000000000000000..65e657dc25973cbe773d79bb20fa91fed0a5154c
--- /dev/null
+++ b/results/test/hyperbola/problem_1369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99ba97e4378cfe6586f48a02a2e8a0804ba2c30863d3234284a748cc89cf081f
+size 264061
diff --git a/results/test/hyperbola/problem_1370.png b/results/test/hyperbola/problem_1370.png
new file mode 100644
index 0000000000000000000000000000000000000000..e299a54a5004ad19a47a5793120bf40ff631bf83
--- /dev/null
+++ b/results/test/hyperbola/problem_1370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa880444900f4c4f61ece5e5576776679f07ba11d038e1939b228247e5d72697
+size 304713
diff --git a/results/test/hyperbola/problem_1371.png b/results/test/hyperbola/problem_1371.png
new file mode 100644
index 0000000000000000000000000000000000000000..68f50d3f26dde5bc2f72af3f00bebed23c0f23da
--- /dev/null
+++ b/results/test/hyperbola/problem_1371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8831255c1ff086ec47419f62b4a10c16320ccc11592995984ed0e42cee87857e
+size 246211
diff --git a/results/test/hyperbola/problem_1372.png b/results/test/hyperbola/problem_1372.png
new file mode 100644
index 0000000000000000000000000000000000000000..44166cbc875bd3d33d54d7f49e863ec5f9c501b0
--- /dev/null
+++ b/results/test/hyperbola/problem_1372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e6527a77b89682d780aaaf87d873dcb6089b939b9c767b2ca3c1e1b416d4008
+size 270677
diff --git a/results/test/hyperbola/problem_1377.png b/results/test/hyperbola/problem_1377.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e1429d70ca23127cd783e01906d6d94710a8cee
--- /dev/null
+++ b/results/test/hyperbola/problem_1377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1f6d41f1e5994d7cdbf68e7908c3bda9459a6e241bc16be1ea19f707b1d53f6
+size 256694
diff --git a/results/test/hyperbola/problem_1378.png b/results/test/hyperbola/problem_1378.png
new file mode 100644
index 0000000000000000000000000000000000000000..04f987cf4622cca4b016046519cdc249b6574edb
--- /dev/null
+++ b/results/test/hyperbola/problem_1378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7829139fa3f5a318d633982199b9b7e7c6e6ecc0ae3faf31bf2027498b959938
+size 253492
diff --git a/results/test/hyperbola/problem_1381.png b/results/test/hyperbola/problem_1381.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e403eff5b676617be2680d238c670cd83b78c2d
--- /dev/null
+++ b/results/test/hyperbola/problem_1381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aeaa9036ba921cc0b61d5965fc2f5d7a9f33cbf68a147f5a372a2b74191f94b7
+size 268134
diff --git a/results/test/hyperbola/problem_1383.png b/results/test/hyperbola/problem_1383.png
new file mode 100644
index 0000000000000000000000000000000000000000..d280506454acd4ec215d651e2cc26480d4d0827e
--- /dev/null
+++ b/results/test/hyperbola/problem_1383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b797a4045abce08047dc2c546fad387c8c00ffce974b6f7cd2500fc7cd4865ce
+size 266229
diff --git a/results/test/hyperbola/problem_1384.png b/results/test/hyperbola/problem_1384.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8b0fde40da8a6640ad70de081881b2ef5c16cf3
--- /dev/null
+++ b/results/test/hyperbola/problem_1384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b3b7dbe13a215539d0ab42522979e5916d5ba08af598d27aa13891608142a80
+size 258148
diff --git a/results/test/hyperbola/problem_1388.png b/results/test/hyperbola/problem_1388.png
new file mode 100644
index 0000000000000000000000000000000000000000..80a65fc77a153031869f34645276d98bde2a415f
--- /dev/null
+++ b/results/test/hyperbola/problem_1388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35845747cd8f6a405547a1ed72ff4a48331c8b7986bc7a37e89f3234fecbd2bb
+size 269612
diff --git a/results/test/hyperbola/problem_1389.png b/results/test/hyperbola/problem_1389.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2bde1af9766fbd28c7ea6fc94e969e95027f596
--- /dev/null
+++ b/results/test/hyperbola/problem_1389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7b07c2ab1785350669d08e6c0770cff92ac3ba8bd7108861fea739e80622a36
+size 265672
diff --git a/results/test/hyperbola/problem_1391.png b/results/test/hyperbola/problem_1391.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eb21d8a8d7c971e61d3f52471b687f032d1b1a9
--- /dev/null
+++ b/results/test/hyperbola/problem_1391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:334a159d8ea360f514fcf4d13220298786b2682632208e7b60f63031d2ea368d
+size 267171
diff --git a/results/test/hyperbola/problem_1392.png b/results/test/hyperbola/problem_1392.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d66d384158ff5a4b0596c88ce9630c7fce92109
--- /dev/null
+++ b/results/test/hyperbola/problem_1392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbe89a14fb85288f3b35fcfc91ff464c5d2101e1576893322f793518d2936760
+size 249234
diff --git a/results/test/hyperbola/problem_1394.png b/results/test/hyperbola/problem_1394.png
new file mode 100644
index 0000000000000000000000000000000000000000..68eb1cbc0c476b2f59dd402e7b64e686f72d69d3
--- /dev/null
+++ b/results/test/hyperbola/problem_1394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04d904a74055c7b7214894acaa3c68452ade2b545332696e8e700e1a1595a201
+size 257728
diff --git a/results/test/hyperbola/problem_1399.png b/results/test/hyperbola/problem_1399.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7b989e8c2e73c738386e319364f24ec478c83ad
--- /dev/null
+++ b/results/test/hyperbola/problem_1399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6da37db5a6599fa77255900103623b2432aaea47f57549fa9bfa1f1d52dffae2
+size 267519
diff --git a/results/test/hyperbola/problem_1407.png b/results/test/hyperbola/problem_1407.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e4d5e571c8e5fea4a54423b4a6e6c388fb6aa06
--- /dev/null
+++ b/results/test/hyperbola/problem_1407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a00586283bdf4aec6e7364834d32c61153cc2bef4f822b9fcd3d7105516392c
+size 268541
diff --git a/results/test/hyperbola/problem_1413.png b/results/test/hyperbola/problem_1413.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc817553f277b41116b0f86fc8eb25af4766691e
--- /dev/null
+++ b/results/test/hyperbola/problem_1413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a7746f0e346f1826ce6d9490d9d82e07568240d2495c7c321cb3814fce4973b
+size 275093
diff --git a/results/test/hyperbola/problem_1419.png b/results/test/hyperbola/problem_1419.png
new file mode 100644
index 0000000000000000000000000000000000000000..112ff19356436b4ad398cf27b690c39e29f413ee
--- /dev/null
+++ b/results/test/hyperbola/problem_1419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff0378ce3b632c856eb5aa1d9c90af8d4d5c7122ed82827bf8f11c5e216061a2
+size 277697
diff --git a/results/test/hyperbola/problem_1423.png b/results/test/hyperbola/problem_1423.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf6ac5cd999cc532eb2789dfa726653de4322309
--- /dev/null
+++ b/results/test/hyperbola/problem_1423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2a7469ea5fc7732492a3af3eeb0a33ee0e9f3fe85dc7998f2d0289ea0c7cdc3
+size 271517
diff --git a/results/test/hyperbola/problem_1432.png b/results/test/hyperbola/problem_1432.png
new file mode 100644
index 0000000000000000000000000000000000000000..10c913cd702100a39fb1ffae196274e6e7e2834c
--- /dev/null
+++ b/results/test/hyperbola/problem_1432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e73692c49703a7a432585d92d9c7bbd186541c7b4252516f96ba51f219867e3e
+size 221449
diff --git a/results/test/hyperbola/problem_1444.png b/results/test/hyperbola/problem_1444.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ad1b94ede2c06e8d54e9c44edfde62204295593
--- /dev/null
+++ b/results/test/hyperbola/problem_1444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8f36ba5a2d40f80d1ea506e383fa8a393c376bb60543ae7d50eb5b152c20388
+size 274882
diff --git a/results/test/hyperbola/problem_1445.png b/results/test/hyperbola/problem_1445.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0c6ddb16ff53cc0f6b1b8b48b01b14aef3f65da
--- /dev/null
+++ b/results/test/hyperbola/problem_1445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d13dc9b7fc8d20d2189575b9cd06c132d3c1681350bed42b24663129f8835b64
+size 280097
diff --git a/results/test/hyperbola/problem_1446.png b/results/test/hyperbola/problem_1446.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0b03851f5e465d70a97a04f5a5ad19b3fb18160
--- /dev/null
+++ b/results/test/hyperbola/problem_1446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ddb124e6f02a5945e53028185fb19a986997ba23daa221409ad2383ac40a9bb
+size 277643
diff --git a/results/test/hyperbola/problem_1451.png b/results/test/hyperbola/problem_1451.png
new file mode 100644
index 0000000000000000000000000000000000000000..42ec90c80f1a5055b80dc2e76eb8c9ce920de44c
--- /dev/null
+++ b/results/test/hyperbola/problem_1451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f037a1d9ae1b84b55dc4cae7d49ceb7b004932e07802e33dd3f90aef7721e157
+size 279444
diff --git a/results/test/hyperbola/problem_1454.png b/results/test/hyperbola/problem_1454.png
new file mode 100644
index 0000000000000000000000000000000000000000..c61e547d8d5afcc0673b844d6f2c67cfdb78d7f3
--- /dev/null
+++ b/results/test/hyperbola/problem_1454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ce945098f7ea3b9aeeb10d641bf37184d4260704f1e6a3ffd42d7779ac84647
+size 278570
diff --git a/results/test/hyperbola/problem_1469.png b/results/test/hyperbola/problem_1469.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a6865aebf812bbef381615fb24652e7561b56e1
--- /dev/null
+++ b/results/test/hyperbola/problem_1469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f0749c69150445fd1ebae5de15cec6ef3a1ff4d50cd7c4a7fc225ba64cfd70c
+size 268508
diff --git a/results/test/hyperbola/problem_1475.png b/results/test/hyperbola/problem_1475.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a5625873a92e3fcc78ead414a9fc5499f05ef25
--- /dev/null
+++ b/results/test/hyperbola/problem_1475.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a2ffa8418a0c3c86d9be47d3746e57db20e562b3b09f562b550e89e1959202d
+size 265871
diff --git a/results/test/hyperbola/problem_1479.png b/results/test/hyperbola/problem_1479.png
new file mode 100644
index 0000000000000000000000000000000000000000..93748c749fd9cc8ea9f501df96111191f58582a3
--- /dev/null
+++ b/results/test/hyperbola/problem_1479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5673be936b15d0ed5cd4f56f3841d35a875f4648a59b2d510ccec762125c9dc9
+size 268577
diff --git a/results/test/hyperbola/problem_1486.png b/results/test/hyperbola/problem_1486.png
new file mode 100644
index 0000000000000000000000000000000000000000..4debdc3130cc84853066bb5e71e40f5048f808bc
--- /dev/null
+++ b/results/test/hyperbola/problem_1486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:586217c5306ea93485a0f11c0875ae6697822d77acfebbda1185304a86eec427
+size 254573
diff --git a/results/test/hyperbola/problem_1496.png b/results/test/hyperbola/problem_1496.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ff19715cf5641ed1cf5654c74639fd68a23edee
--- /dev/null
+++ b/results/test/hyperbola/problem_1496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd445d8554b57b0f22e7ee6183c49533a51004405e1fd17994cd39790c3b1335
+size 258114
diff --git a/results/test/hyperbola/problem_1498.png b/results/test/hyperbola/problem_1498.png
new file mode 100644
index 0000000000000000000000000000000000000000..907be30f6c520617fc9a3f7bdfe3cb3e5f50d65d
--- /dev/null
+++ b/results/test/hyperbola/problem_1498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab06962e90e906a8225a22f6a1ff1c9683f57385f0dd2fec63bced6f79d685f8
+size 271249
diff --git a/results/test/hyperbola/problem_1500.png b/results/test/hyperbola/problem_1500.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e5d82db624635b9b61c1abc622b059bcc361551
--- /dev/null
+++ b/results/test/hyperbola/problem_1500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0a4392a8d5fe4b01f04e83dd52b38ff667571edd54616d80dd5c29fa3bf8781
+size 273085
diff --git a/results/test/hyperbola/problem_1501.png b/results/test/hyperbola/problem_1501.png
new file mode 100644
index 0000000000000000000000000000000000000000..e64cb6ef1bc44203905feb23a49f0ea05cbd76c8
--- /dev/null
+++ b/results/test/hyperbola/problem_1501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:701b98ea907e0204baa6122c0ef8b365e7183c0b5ef53309a44f8a245f8ba0a3
+size 264890
diff --git a/results/test/hyperbola/problem_1505.png b/results/test/hyperbola/problem_1505.png
new file mode 100644
index 0000000000000000000000000000000000000000..de81a7d9d22c5a9fbde40422c2ae26dd241b1dc9
--- /dev/null
+++ b/results/test/hyperbola/problem_1505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81d18c94c151b2028d2ee2dfa4b521d64a57ae131739842284531837faf9ca84
+size 267592
diff --git a/results/test/hyperbola/problem_1509.png b/results/test/hyperbola/problem_1509.png
new file mode 100644
index 0000000000000000000000000000000000000000..a65e16af0c785f5713a9e73f7fd06263f851b82c
--- /dev/null
+++ b/results/test/hyperbola/problem_1509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fc2b11c419d804756d47b73afa119b94e2310616871daff4bddaabae753f9f6
+size 264815
diff --git a/results/test/hyperbola/problem_1512.png b/results/test/hyperbola/problem_1512.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ca239ae132aae5c639486794d70b0b4589b9221
--- /dev/null
+++ b/results/test/hyperbola/problem_1512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd46f28b2927c5cda946760f240e3221d5c024c6385298e6a9dbc0a204b2c90a
+size 256551
diff --git a/results/test/hyperbola/problem_1515.png b/results/test/hyperbola/problem_1515.png
new file mode 100644
index 0000000000000000000000000000000000000000..ced2ea32176fcf66483e65c9fefb1f944ac5b2de
--- /dev/null
+++ b/results/test/hyperbola/problem_1515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f369e96954e313143cdd9040eeed8008cb47382a91b282eaceecc3fdb8282c67
+size 254341
diff --git a/results/test/hyperbola/problem_1516.png b/results/test/hyperbola/problem_1516.png
new file mode 100644
index 0000000000000000000000000000000000000000..e921c178060b86861b5d9ba464949a5d0da931d0
--- /dev/null
+++ b/results/test/hyperbola/problem_1516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f537976957d87f7da992aa067fcd834d394eaf573791563677549d3e7dbef714
+size 245937
diff --git a/results/test/hyperbola/problem_1518.png b/results/test/hyperbola/problem_1518.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce49a42d71d09a589d06c652a077dfdee82e3f4c
--- /dev/null
+++ b/results/test/hyperbola/problem_1518.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db60d7e9229d91e20625b93dfe022f9f3b2967eb2b13e3dc5f76348b6359d8e4
+size 269237
diff --git a/results/test/hyperbola/problem_1523.png b/results/test/hyperbola/problem_1523.png
new file mode 100644
index 0000000000000000000000000000000000000000..c404dd98c5476fac39b4673bd668a2f4aa62b7d9
--- /dev/null
+++ b/results/test/hyperbola/problem_1523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91f645b9d4f2967e54498eb0c5e12da61edcada99ad3a151f6f3f4d644df00c6
+size 264992
diff --git a/results/test/hyperbola/problem_1524.png b/results/test/hyperbola/problem_1524.png
new file mode 100644
index 0000000000000000000000000000000000000000..389fd1c69058f05b35fb642fdd4923c61bff488f
--- /dev/null
+++ b/results/test/hyperbola/problem_1524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:239c02a768341e4bf6f634b6b6224290ef135f7efcddb1ce52dfc9bd85a3ca15
+size 296834
diff --git a/results/test/hyperbola/problem_1526.png b/results/test/hyperbola/problem_1526.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ffec98a42f200b324e1ed884159be8e2841a2c2
--- /dev/null
+++ b/results/test/hyperbola/problem_1526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1e5cdffda47550cecb63b96edab2275c5c338233c6abc920b3194ce55a1ba1e
+size 259831
diff --git a/results/test/hyperbola/problem_1536.png b/results/test/hyperbola/problem_1536.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c9945f639c756c9c86d412c2269e6dbf66d3fe7
--- /dev/null
+++ b/results/test/hyperbola/problem_1536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cad0ba6a87218de1aa4a19d522cdc3d32fe0e614e497937847403dd72014d928
+size 276204
diff --git a/results/test/hyperbola/problem_1538.png b/results/test/hyperbola/problem_1538.png
new file mode 100644
index 0000000000000000000000000000000000000000..452043d6dff04f0ff67dc4028a08efcb77d06262
--- /dev/null
+++ b/results/test/hyperbola/problem_1538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca42f8d35bf320191f11b634decd82f29852664cb785c203855af9967d6c20ac
+size 251952
diff --git a/results/test/hyperbola/problem_1543.png b/results/test/hyperbola/problem_1543.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d04ae912b4c254fd7196afc9086839572ab4d82
--- /dev/null
+++ b/results/test/hyperbola/problem_1543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3843f1ffdfb9ddb36b02f90d068fdff34a394b5898e033f717e7568e2f3adbc
+size 263789
diff --git a/results/test/hyperbola/problem_1549.png b/results/test/hyperbola/problem_1549.png
new file mode 100644
index 0000000000000000000000000000000000000000..a90bbd1bdfdac7e53014f736c53c8a34ebd9c796
--- /dev/null
+++ b/results/test/hyperbola/problem_1549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f02db03c1285b3bac329a011d562548078fc0c3b416f5a34043de104c02230b
+size 272245
diff --git a/results/test/hyperbola/problem_1554.png b/results/test/hyperbola/problem_1554.png
new file mode 100644
index 0000000000000000000000000000000000000000..1140963d7a6a864bd03ebcea7bc21bfb9d605df1
--- /dev/null
+++ b/results/test/hyperbola/problem_1554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b184be14299637b59518ee1cab79de367e2003546f3ff2e35062a927b96a3d7d
+size 272905
diff --git a/results/test/hyperbola/problem_1555.png b/results/test/hyperbola/problem_1555.png
new file mode 100644
index 0000000000000000000000000000000000000000..77ad79ceb3889e54753bb201e2270ea3e7438155
--- /dev/null
+++ b/results/test/hyperbola/problem_1555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5fe5b90f9c627016dea098b06446aee9679a53d34280c8c00d4a3a3840c6293
+size 248351
diff --git a/results/test/hyperbola/problem_1556.png b/results/test/hyperbola/problem_1556.png
new file mode 100644
index 0000000000000000000000000000000000000000..da2397336fe44e01323ef23a546d5a9145803106
--- /dev/null
+++ b/results/test/hyperbola/problem_1556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f472311a7ddf1294daebf049068dad11aba90d55178ab0e210cfd370e321793c
+size 230168
diff --git a/results/test/hyperbola/problem_1565.png b/results/test/hyperbola/problem_1565.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f4ce780b5b64ed419000e02e3b391f3b6911986
--- /dev/null
+++ b/results/test/hyperbola/problem_1565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc171154622cce63842260820b3c62eb93e8cabbaeb3d10576ff702e36eab55b
+size 252064
diff --git a/results/test/hyperbola/problem_1566.png b/results/test/hyperbola/problem_1566.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6bfff88343d7768b12d4a3c5e2b1941cd2da8f3
--- /dev/null
+++ b/results/test/hyperbola/problem_1566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8919d4340db2c9b17988a0935acbbbb36db19fa8b4d4bd6d27ca443636fd3b5
+size 276157
diff --git a/results/test/hyperbola/problem_1573.png b/results/test/hyperbola/problem_1573.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3b499a4abd1b95f42b19be07c14acf813003535
--- /dev/null
+++ b/results/test/hyperbola/problem_1573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e852a68eb5f9054b5373ecd201fa20ed1c9d7ccfc760c01b281917f0f39f00b
+size 270458
diff --git a/results/test/hyperbola/problem_1578.png b/results/test/hyperbola/problem_1578.png
new file mode 100644
index 0000000000000000000000000000000000000000..f98ba287a425e73ed73f05e9f8eee413c7a13c31
--- /dev/null
+++ b/results/test/hyperbola/problem_1578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14e5f2628eb8afcd601a8480ee4f32696f954ff20fb42223b067a4bf8cb5249e
+size 271173
diff --git a/results/test/hyperbola/problem_1581.png b/results/test/hyperbola/problem_1581.png
new file mode 100644
index 0000000000000000000000000000000000000000..55c4059e1cad45873903cd28b6eda928e66efc30
--- /dev/null
+++ b/results/test/hyperbola/problem_1581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0837a4769b438a826b5e7db9f5007a8c868057d1ac96488fb06d6e2897764b8a
+size 245531
diff --git a/results/test/hyperbola/problem_1584.png b/results/test/hyperbola/problem_1584.png
new file mode 100644
index 0000000000000000000000000000000000000000..a64028e6312e681238814157a1718173f49ee126
--- /dev/null
+++ b/results/test/hyperbola/problem_1584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:809c083feae5fc73e880132fc6c3d80d914a08f703872fd902e4c70a1501339a
+size 279002
diff --git a/results/test/hyperbola/problem_1587.png b/results/test/hyperbola/problem_1587.png
new file mode 100644
index 0000000000000000000000000000000000000000..60efd76d771af560bea5feafea1b39cae2cca7ce
--- /dev/null
+++ b/results/test/hyperbola/problem_1587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dc08dc55930fc913d5c438934c060d5d61f0471ce67ed5e88dc9038b131f88d
+size 246538
diff --git a/results/test/hyperbola/problem_1589.png b/results/test/hyperbola/problem_1589.png
new file mode 100644
index 0000000000000000000000000000000000000000..037e536801929e93a396cec8441946b44152ee71
--- /dev/null
+++ b/results/test/hyperbola/problem_1589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:728309658d5dbc10311dea55ea9ab2f9bc8e20b46e6eb9c72e614186c09b7a7c
+size 259889
diff --git a/results/test/hyperbola/problem_1609.png b/results/test/hyperbola/problem_1609.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d28ce57439ae9e8a0c0c48d7077755d523867eb
--- /dev/null
+++ b/results/test/hyperbola/problem_1609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b17daede26faa2433179e364830e29767f67e904945f2e5100753ee6ef2aa7e
+size 254270
diff --git a/results/test/hyperbola/problem_1610.png b/results/test/hyperbola/problem_1610.png
new file mode 100644
index 0000000000000000000000000000000000000000..38ae7e8021893640d0f64fb55128c5e7a2fc2916
--- /dev/null
+++ b/results/test/hyperbola/problem_1610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:947862e1ce0c4c79754e5a8c04e10f0d8adc65fba8b0115582d6875f2a7d3364
+size 328570
diff --git a/results/test/hyperbola/problem_1612.png b/results/test/hyperbola/problem_1612.png
new file mode 100644
index 0000000000000000000000000000000000000000..1bc75d5c35901d44f0aa034f41fb5c5aa56ddd2a
--- /dev/null
+++ b/results/test/hyperbola/problem_1612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ef3ce5a58c4a07838c5796e23658a915a3961a9f5898e23c8f9a7a9cc81ccdd
+size 266134
diff --git a/results/test/hyperbola/problem_1613.png b/results/test/hyperbola/problem_1613.png
new file mode 100644
index 0000000000000000000000000000000000000000..39bcbbdde22d0d1ff1af0161afefc18ff5ac7652
--- /dev/null
+++ b/results/test/hyperbola/problem_1613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2ecf787567155e99e64effe569a6e3c126e31e4921e5b06c7aba0ea3bc64339
+size 254573
diff --git a/results/test/hyperbola/problem_1616.png b/results/test/hyperbola/problem_1616.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d264513d4db9be1b51fa77e5218f7de4acbf96b
--- /dev/null
+++ b/results/test/hyperbola/problem_1616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44c805382313f67df9659c96285d47c150d2f9c66fbf64d0971d57b69e9dce8a
+size 259448
diff --git a/results/test/hyperbola/problem_1617.png b/results/test/hyperbola/problem_1617.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5a746ab98203ed8a67079fce8f68b450a924173
--- /dev/null
+++ b/results/test/hyperbola/problem_1617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47a273dc6d65ee8777f5b3a98a85b2c10d40525b3210592db1a61adf06df91a5
+size 253041
diff --git a/results/test/hyperbola/problem_1621.png b/results/test/hyperbola/problem_1621.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c2d13b5a775144c28b51d328af7f3a2daedff53
--- /dev/null
+++ b/results/test/hyperbola/problem_1621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a75a4e317c6f7a7df68695aaf782ed591529f0b83c4580140b54589caf042636
+size 256040
diff --git a/results/test/hyperbola/problem_1622.png b/results/test/hyperbola/problem_1622.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9959b57731c7fbfb5bcbdbf6ef600c5d8d67090
--- /dev/null
+++ b/results/test/hyperbola/problem_1622.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f3b3dc9ef2abc54852ab896c2e9ef2af0bb277b32d4acb6ada858025bea41dd
+size 271314
diff --git a/results/test/hyperbola/problem_1623.png b/results/test/hyperbola/problem_1623.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ee26feed97547d440ae718368a74e41df38dd9e
--- /dev/null
+++ b/results/test/hyperbola/problem_1623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba5b025b9f40f23e10169d1492164aecabd7b1d562d3b9cd192ec77828f5bf27
+size 241870
diff --git a/results/test/hyperbola/problem_1628.png b/results/test/hyperbola/problem_1628.png
new file mode 100644
index 0000000000000000000000000000000000000000..59f154af2c5f8f849b9856038716fe40d0331bae
--- /dev/null
+++ b/results/test/hyperbola/problem_1628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c0e4cfc76cb2d797c368cd2f23d38440fb56bf159f926da73878dc75a662992
+size 269810
diff --git a/results/test/hyperbola/problem_1630.png b/results/test/hyperbola/problem_1630.png
new file mode 100644
index 0000000000000000000000000000000000000000..c77aa79a5aeb2d8c02e0fd65f67a6526714be462
--- /dev/null
+++ b/results/test/hyperbola/problem_1630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c192e0d65eea1dc0b2b2fd980fc7860440a9d29e27e18e4e9a19c622e563151
+size 257309
diff --git a/results/test/hyperbola/problem_1631.png b/results/test/hyperbola/problem_1631.png
new file mode 100644
index 0000000000000000000000000000000000000000..f61944ed2e41c34147b94b0dfadb48f0bacdd911
--- /dev/null
+++ b/results/test/hyperbola/problem_1631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c0c577cbd0f46cda41d38ff473eb8fca3597ade06dce078f6f14ca497e35e64
+size 267809
diff --git a/results/test/hyperbola/problem_1634.png b/results/test/hyperbola/problem_1634.png
new file mode 100644
index 0000000000000000000000000000000000000000..8bdf3f8424450e87d470b66bbe8c91d4fa54c3cf
--- /dev/null
+++ b/results/test/hyperbola/problem_1634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0c1f6e95ba66b561d1c650598ca50444f649e2ffe9bd792f61abf7d652e5719
+size 245928
diff --git a/results/test/hyperbola/problem_1637.png b/results/test/hyperbola/problem_1637.png
new file mode 100644
index 0000000000000000000000000000000000000000..990d91b400c0033be44fe9986caa1a77c908c416
--- /dev/null
+++ b/results/test/hyperbola/problem_1637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de4c26275d5e4bbb2bfd0708820f4120872d5fe05b0248d9ca5c78d1b5f8e59c
+size 281627
diff --git a/results/test/hyperbola/problem_1638.png b/results/test/hyperbola/problem_1638.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7c4802c5a89fd8ce670b85acd424b1a9d319ec6
--- /dev/null
+++ b/results/test/hyperbola/problem_1638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0171ee5f87af39146542322a024fe00ce16b263d3466a33716053ab0ea16426
+size 272620
diff --git a/results/test/hyperbola/problem_1651.png b/results/test/hyperbola/problem_1651.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0260ddf6417a539dde16d5611bab777dbf955f4
--- /dev/null
+++ b/results/test/hyperbola/problem_1651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54f798cedf60c51c09793d59c6c315618b815a6e0fe50ec6a46f644520d8236d
+size 270658
diff --git a/results/test/hyperbola/problem_1654.png b/results/test/hyperbola/problem_1654.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca41a11adf49c2d422a5a973b16ebc8cb1df4ec5
--- /dev/null
+++ b/results/test/hyperbola/problem_1654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:045cf9ad410c62c3b5fbdfd405252dded5b72dbc0549662e4147060a2e863189
+size 260400
diff --git a/results/test/hyperbola/problem_1656.png b/results/test/hyperbola/problem_1656.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce6ccde294b6ac8aeb0f078ccf2c61e52bc0ec59
--- /dev/null
+++ b/results/test/hyperbola/problem_1656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9338c209497d884dd43cdc7022e4c536b8f3d8c77d78e3e76a7597b3ffbc24d
+size 281123
diff --git a/results/test/hyperbola/problem_1659.png b/results/test/hyperbola/problem_1659.png
new file mode 100644
index 0000000000000000000000000000000000000000..b615aa975ef7190d94953b907322cb2cd8077d88
--- /dev/null
+++ b/results/test/hyperbola/problem_1659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de402d6abef302c67c9abfb054cc4e6a0fdf54da4829fedec51c36b1fb0f79a1
+size 248033
diff --git a/results/test/hyperbola/problem_1661.png b/results/test/hyperbola/problem_1661.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bf07e65d7611c525df2b5aec590ebc68f23197e
--- /dev/null
+++ b/results/test/hyperbola/problem_1661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66e2917b02293e34cad6df33119116375fac8f3e4efc8875de58e251da77439a
+size 264208
diff --git a/results/test/hyperbola/problem_1664.png b/results/test/hyperbola/problem_1664.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c57abb60f5f6d26a8ef33b232a686882719033c
--- /dev/null
+++ b/results/test/hyperbola/problem_1664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d591c53fe7d5303e9ff2110a52314454ca3021c50f76986dc50378a31dc51c46
+size 259477
diff --git a/results/test/hyperbola/problem_1665.png b/results/test/hyperbola/problem_1665.png
new file mode 100644
index 0000000000000000000000000000000000000000..06236d12b13f894f82efa9b650a269286d53d85d
--- /dev/null
+++ b/results/test/hyperbola/problem_1665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b46046a70046944192de2dadf19b3b32ad8e6b8f95c61f7101379f424b70426
+size 264738
diff --git a/results/test/hyperbola/problem_1680.png b/results/test/hyperbola/problem_1680.png
new file mode 100644
index 0000000000000000000000000000000000000000..85b6e0d8c1847933d6e637aab8f36f5e6fb3b0fe
--- /dev/null
+++ b/results/test/hyperbola/problem_1680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c503d63703e3505e56bf8c79e544de7108464c52949bbd11c85fd17b4a805b10
+size 256144
diff --git a/results/test/hyperbola/problem_1681.png b/results/test/hyperbola/problem_1681.png
new file mode 100644
index 0000000000000000000000000000000000000000..72d1182c16fa2c891b253ae7d5df7067bd25c33a
--- /dev/null
+++ b/results/test/hyperbola/problem_1681.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d366ba47f66b44a61627b0adac9d62deefdc108df4dc11e45ac322b136140a6d
+size 267231
diff --git a/results/test/hyperbola/problem_1689.png b/results/test/hyperbola/problem_1689.png
new file mode 100644
index 0000000000000000000000000000000000000000..3deac16278374ed0b8834e27bb2c8ba0fefbfa58
--- /dev/null
+++ b/results/test/hyperbola/problem_1689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da44e0e4f60a9e5aebbf8c6fce0f9c00e216a644231f30f0be4544875f7081a9
+size 272927
diff --git a/results/test/hyperbola/problem_1690.png b/results/test/hyperbola/problem_1690.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a89f0dbeb4ee177b9c7fa215aba872c3b0bfeaa
--- /dev/null
+++ b/results/test/hyperbola/problem_1690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85b017ba3532059de182e101a6994469cc0a4d6ef4effa9d9bbb1b71e0e770c2
+size 255571
diff --git a/results/test/hyperbola/problem_1698.png b/results/test/hyperbola/problem_1698.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9cdf9e8a11a1193581490579376b9f79fb464b1
--- /dev/null
+++ b/results/test/hyperbola/problem_1698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e6648dfb4f924fb56e1a720374e49767b75c7368790ebeaca19b42a2e42dece
+size 262409
diff --git a/results/test/hyperbola/problem_1702.png b/results/test/hyperbola/problem_1702.png
new file mode 100644
index 0000000000000000000000000000000000000000..dee71df39ff006bd95d055dad56bbc09ee194b1d
--- /dev/null
+++ b/results/test/hyperbola/problem_1702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f5ab87c060d7b1d3c5d9bccd2064a69546933342e55c45ebaed92ddaa11372a
+size 266101
diff --git a/results/test/hyperbola/problem_1705.png b/results/test/hyperbola/problem_1705.png
new file mode 100644
index 0000000000000000000000000000000000000000..351ff1cbc286f7fcc3031ade01b95376ef7f3003
--- /dev/null
+++ b/results/test/hyperbola/problem_1705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8aa35c75f1b1b93bad6e1cfd6bdf5ed086da3f72b5bc58d953bec63f5315bbaa
+size 267330
diff --git a/results/test/hyperbola/problem_1706.png b/results/test/hyperbola/problem_1706.png
new file mode 100644
index 0000000000000000000000000000000000000000..7defa9b131ea199513934098922aa851831229bd
--- /dev/null
+++ b/results/test/hyperbola/problem_1706.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2de064e541c1bc7f819ab6f50b769c0b195ca95c662e3d45e5efe0097e1c3e46
+size 260551
diff --git a/results/test/hyperbola/problem_1708.png b/results/test/hyperbola/problem_1708.png
new file mode 100644
index 0000000000000000000000000000000000000000..4dc1811086b0719cbc63adf4a7e75f6c1e2f8651
--- /dev/null
+++ b/results/test/hyperbola/problem_1708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b257fd6d96311fa6709486a95f349a0edbbb1df574b671cfaa73ff809e708713
+size 258690
diff --git a/results/test/hyperbola/problem_1721.png b/results/test/hyperbola/problem_1721.png
new file mode 100644
index 0000000000000000000000000000000000000000..b328daa09634d2057ee1270a445038ee3cfbf807
--- /dev/null
+++ b/results/test/hyperbola/problem_1721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cabf7a1b090c8b8e181b44e63f4ba19d4a8f374e617f771d725e0f468a1c7087
+size 265310
diff --git a/results/test/hyperbola/problem_1724.png b/results/test/hyperbola/problem_1724.png
new file mode 100644
index 0000000000000000000000000000000000000000..f74b7b406e0418cfb6aeb92dbb0efc5a75e1cbe2
--- /dev/null
+++ b/results/test/hyperbola/problem_1724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:249f439e984036f8cb16177b8450f7b094fdfa08f14975ffd89ed069d374abdd
+size 254453
diff --git a/results/test/hyperbola/problem_1726.png b/results/test/hyperbola/problem_1726.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b7f8b6b7eb0cd26ec457016f52df63fa5c99f8e
--- /dev/null
+++ b/results/test/hyperbola/problem_1726.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01a99e1b001c64472be010d8b1b820e71d422b02e7d19b951073d81027779cc6
+size 236034
diff --git a/results/test/hyperbola/problem_1727.png b/results/test/hyperbola/problem_1727.png
new file mode 100644
index 0000000000000000000000000000000000000000..d40a1f9e57a425b3bff015fc15c59fbc7ce4aa44
--- /dev/null
+++ b/results/test/hyperbola/problem_1727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6aa4b02456fbcad57ebe86b5344f8ae9b35b3de9164c16d076eea006659e6390
+size 290436
diff --git a/results/test/hyperbola/problem_1731.png b/results/test/hyperbola/problem_1731.png
new file mode 100644
index 0000000000000000000000000000000000000000..e274313dbf2be6163fa2bcdf6f43a90ea7180570
--- /dev/null
+++ b/results/test/hyperbola/problem_1731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5cdd2c2342e2fbc059699821e7dba2e4099b3c8e0064f5940b09990b3a8c5d2
+size 267100
diff --git a/results/test/hyperbola/problem_1735.png b/results/test/hyperbola/problem_1735.png
new file mode 100644
index 0000000000000000000000000000000000000000..b61af9c87794f934ee2cfa001b69d73e5a5ae923
--- /dev/null
+++ b/results/test/hyperbola/problem_1735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfcbdb18cb0fcbd879d5d53a30ee75bfa119a4dd8c20e456400b8498436520a4
+size 274058
diff --git a/results/test/hyperbola/problem_1739.png b/results/test/hyperbola/problem_1739.png
new file mode 100644
index 0000000000000000000000000000000000000000..be9d0a85b63e22fdbdf7c6b6e168ca104f5a7d48
--- /dev/null
+++ b/results/test/hyperbola/problem_1739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09b3bb82021fe6f2936bf52dc673c093ce611349e907b5f74dd7e8b693f33578
+size 316196
diff --git a/results/test/hyperbola/problem_1743.png b/results/test/hyperbola/problem_1743.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c36378fef82847cb4348c93aa06eac3a38bba4c
--- /dev/null
+++ b/results/test/hyperbola/problem_1743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85196463be6aefc726d9c2035cc94da0e607a4720f31715ee3b949e74585c07b
+size 266244
diff --git a/results/test/hyperbola/problem_1746.png b/results/test/hyperbola/problem_1746.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d66fc25f9233722cd76a16845195453f15693df
--- /dev/null
+++ b/results/test/hyperbola/problem_1746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a7c8ecbcbdcef839db523b4ddef3c43bba9268975b80798d348457a0eaf5cad
+size 273078
diff --git a/results/test/hyperbola/problem_1750.png b/results/test/hyperbola/problem_1750.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5a4a2809788b0bc7e5b1776946583499ed44c82
--- /dev/null
+++ b/results/test/hyperbola/problem_1750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae1cba05c1591df197a80152056696703f44c02e700d412dde3a88068b54b2a4
+size 286294
diff --git a/results/test/hyperbola/problem_1751.png b/results/test/hyperbola/problem_1751.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a37eea4a2e5af2ab090b1389b555b651acfc814
--- /dev/null
+++ b/results/test/hyperbola/problem_1751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e552be9cf17f749e194dec21127384621cdc45eac45b4a7e7988fe4f4a8e4dd9
+size 271636
diff --git a/results/test/hyperbola/problem_1752.png b/results/test/hyperbola/problem_1752.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f4706f86771c74afaba060200d7c27e0fa5b61d
--- /dev/null
+++ b/results/test/hyperbola/problem_1752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:488f7f767319bc4a3a72eb8d105610c1fee641beeb8e18d47571917ed12af5b0
+size 268935
diff --git a/results/test/hyperbola/problem_1758.png b/results/test/hyperbola/problem_1758.png
new file mode 100644
index 0000000000000000000000000000000000000000..85ed08b2b950e9564153cc4d8ecdc7aecac4d896
--- /dev/null
+++ b/results/test/hyperbola/problem_1758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c5220baf89765921164d4110fc299aefb5268e22c446050916ab8c604151bbd
+size 276857
diff --git a/results/test/hyperbola/problem_1761.png b/results/test/hyperbola/problem_1761.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb9716060f802de4be67293257ec3cf8d7399885
--- /dev/null
+++ b/results/test/hyperbola/problem_1761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3766f1f71a0ec2422419adc2b89747d585aeba5ee4305cc5c2560ae7b6b81e09
+size 247346
diff --git a/results/test/hyperbola/problem_1762.png b/results/test/hyperbola/problem_1762.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f71d9e17dce441397c675ef7fa574e5d9cb32b2
--- /dev/null
+++ b/results/test/hyperbola/problem_1762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d287f796beac9bc86b5b26c217614d9231c4143fac5833c770467d1291819e11
+size 265178
diff --git a/results/test/hyperbola/problem_1770.png b/results/test/hyperbola/problem_1770.png
new file mode 100644
index 0000000000000000000000000000000000000000..82c9478294a78d1c13316859e3733bf772a6610a
--- /dev/null
+++ b/results/test/hyperbola/problem_1770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c17289ddb217357cb5c4b8a0c222cf7032e1e1476f1758ed0d06c4975977f21
+size 278573
diff --git a/results/test/hyperbola/problem_1773.png b/results/test/hyperbola/problem_1773.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f6a34f511fa8aa3eedcd5c1c22fc397c72e10e9
--- /dev/null
+++ b/results/test/hyperbola/problem_1773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aabbfef72e84659e9a0c74e0d5feed8f8646cb064124fa898a31b4beb63f4b75
+size 265006
diff --git a/results/test/hyperbola/problem_1774.png b/results/test/hyperbola/problem_1774.png
new file mode 100644
index 0000000000000000000000000000000000000000..5665a3f7648117af48aad70fb1018708be3959cb
--- /dev/null
+++ b/results/test/hyperbola/problem_1774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83cb04d60118425c21734f7efa93f970f76ec2af1d0e7c482c6ddfc23e9c0ec0
+size 293558
diff --git a/results/test/hyperbola/problem_1777.png b/results/test/hyperbola/problem_1777.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2c4133c12deedeba4dfa40cff0cc095be5faec1
--- /dev/null
+++ b/results/test/hyperbola/problem_1777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0289ab1ee5175adaddf8fbcbcad29d6249372fbf4e52dd1e454b1fa211349650
+size 273800
diff --git a/results/test/hyperbola/problem_1779.png b/results/test/hyperbola/problem_1779.png
new file mode 100644
index 0000000000000000000000000000000000000000..431844c3b26f70440585a7f705c326475b62684b
--- /dev/null
+++ b/results/test/hyperbola/problem_1779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5846ef8fd231827d4e4f7eb7047cee710e2bea54c27c41e9adb4aa43b680f3fc
+size 273432
diff --git a/results/test/hyperbola/problem_1784.png b/results/test/hyperbola/problem_1784.png
new file mode 100644
index 0000000000000000000000000000000000000000..8494642d4f85421d9066185ca08df95fe56f0d13
--- /dev/null
+++ b/results/test/hyperbola/problem_1784.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33353795a1ba579a8d6cc8ad67bcac07ac370b5c4c3299e7a2288aaf1f5015ab
+size 272156
diff --git a/results/test/hyperbola/problem_1795.png b/results/test/hyperbola/problem_1795.png
new file mode 100644
index 0000000000000000000000000000000000000000..8019c2cdaac403441a2599decd5a392c8c56ede3
--- /dev/null
+++ b/results/test/hyperbola/problem_1795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa814c70400f0b2385d5d84997b4eb6b9c05afe210a9bc791b119d97d60c5484
+size 272531
diff --git a/results/test/hyperbola/problem_1797.png b/results/test/hyperbola/problem_1797.png
new file mode 100644
index 0000000000000000000000000000000000000000..708dec18a35d3828770b2d5fc6aa195afa8db30c
--- /dev/null
+++ b/results/test/hyperbola/problem_1797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d8c457ec59c1728d661f1b481bd4ad101453e9dfaf426d244d55cbe30f113ab
+size 266200
diff --git a/results/test/hyperbola/problem_1798.png b/results/test/hyperbola/problem_1798.png
new file mode 100644
index 0000000000000000000000000000000000000000..261aa93fada386fa69eb975d1ef09917b178fc2a
--- /dev/null
+++ b/results/test/hyperbola/problem_1798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd3046e94415826f38aaca4180d9e7d81d1b681a7f05616446f7cdb442f36784
+size 259363
diff --git a/results/test/hyperbola/problem_1799.png b/results/test/hyperbola/problem_1799.png
new file mode 100644
index 0000000000000000000000000000000000000000..453bb588b2b9a5cd7df2163e71021a194ada7e4f
--- /dev/null
+++ b/results/test/hyperbola/problem_1799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:441fc893d553cca258d76dc40a21e385eb5ba7b350a1045e6e927b389b64cbab
+size 242553
diff --git a/results/test/hyperbola/problem_1804.png b/results/test/hyperbola/problem_1804.png
new file mode 100644
index 0000000000000000000000000000000000000000..711769b24b1da33d1e9807645eb8c427d04298b4
--- /dev/null
+++ b/results/test/hyperbola/problem_1804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f08ddeeaaa170f1d5472b7c86921193c26d0ddd14f426c31b8458a0acdc2f34f
+size 265482
diff --git a/results/test/hyperbola/problem_1807.png b/results/test/hyperbola/problem_1807.png
new file mode 100644
index 0000000000000000000000000000000000000000..686af3a70d2c0f93df000a21589f6f90bb5869d2
--- /dev/null
+++ b/results/test/hyperbola/problem_1807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c03344be395eaa94d067dd0bd9b2b70bcde1e59f17daf09309a0ed4153f5503d
+size 253614
diff --git a/results/test/hyperbola/problem_1814.png b/results/test/hyperbola/problem_1814.png
new file mode 100644
index 0000000000000000000000000000000000000000..c815652c2b744ef8bbf5d4b0af382b0c07d18b42
--- /dev/null
+++ b/results/test/hyperbola/problem_1814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e7a3626195af0c95a1e31c756a6b781d856dcd777e2fd0d6368be418f7793a3
+size 253511
diff --git a/results/test/hyperbola/problem_1821.png b/results/test/hyperbola/problem_1821.png
new file mode 100644
index 0000000000000000000000000000000000000000..6903990cde33fa06ddd492d786ef6f48c7b369a0
--- /dev/null
+++ b/results/test/hyperbola/problem_1821.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0dbdb6970a8e57d0f4d8076ab495d2a8a9e3bfe07d7494b4be9831e2ef6d3f95
+size 270923
diff --git a/results/test/hyperbola/problem_1829.png b/results/test/hyperbola/problem_1829.png
new file mode 100644
index 0000000000000000000000000000000000000000..32ef31706017361f6b57db3c8c59831aa0cb70ed
--- /dev/null
+++ b/results/test/hyperbola/problem_1829.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f0e3bbf4d1737f6e083ddde382e7814dc53883f0db9ef95bdc20af0f4c6bcfb
+size 270519
diff --git a/results/test/hyperbola/problem_1836.png b/results/test/hyperbola/problem_1836.png
new file mode 100644
index 0000000000000000000000000000000000000000..e931267d21c63564422c32a8181a31470876b512
--- /dev/null
+++ b/results/test/hyperbola/problem_1836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:849d130d3abda16248393c1f5c147ff48478042dfc9a67bbf63d6af00df88670
+size 257207
diff --git a/results/test/hyperbola/problem_1839.png b/results/test/hyperbola/problem_1839.png
new file mode 100644
index 0000000000000000000000000000000000000000..57e67bf952b2aaee84644e01d8721b92a070b77e
--- /dev/null
+++ b/results/test/hyperbola/problem_1839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f34911153b03b12941ba021715687c71accdac771f10f728b4f8348c5f22303
+size 269479
diff --git a/results/test/hyperbola/problem_1843.png b/results/test/hyperbola/problem_1843.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d2b05c9d65e6357b2585b345003cd7cd3e9ac7f
--- /dev/null
+++ b/results/test/hyperbola/problem_1843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c676946a397c094f6f24f591bec7c7b28bbcaf915b2dcd480651dc684f67a7df
+size 270778
diff --git a/results/test/hyperbola/problem_1852.png b/results/test/hyperbola/problem_1852.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c24d6ef755f3340301be814002395d6cd996504
--- /dev/null
+++ b/results/test/hyperbola/problem_1852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08e776791bc213aacb79bea7ee44623b36b46636651f2a0f8ed9187867d24c7a
+size 252624
diff --git a/results/test/hyperbola/problem_1854.png b/results/test/hyperbola/problem_1854.png
new file mode 100644
index 0000000000000000000000000000000000000000..476f908cb0d424baf3a6e66b2dfbb13543254389
--- /dev/null
+++ b/results/test/hyperbola/problem_1854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7a13d9e3beaada6bc76edfeffbc33b05d7729321b14365905c0ab3deea335fc
+size 250870
diff --git a/results/test/hyperbola/problem_1861.png b/results/test/hyperbola/problem_1861.png
new file mode 100644
index 0000000000000000000000000000000000000000..5cb7623cc869cb229403622633af2389ad59174d
--- /dev/null
+++ b/results/test/hyperbola/problem_1861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee798cfb816121ce9fc116613bc59fa19d17a1092ea4e5786ac1a4e3806e2f14
+size 244312
diff --git a/results/test/hyperbola/problem_1862.png b/results/test/hyperbola/problem_1862.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d8e3580792ffe2a1511a84f9a550d2282d32cc5
--- /dev/null
+++ b/results/test/hyperbola/problem_1862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e27c00e22b50dc3a917325a5ae386c894cce25bb3fed72aa3a04db644b84641
+size 264970
diff --git a/results/test/hyperbola/problem_1865.png b/results/test/hyperbola/problem_1865.png
new file mode 100644
index 0000000000000000000000000000000000000000..324734a41641408158b9bf424cdf0776dd65f3fb
--- /dev/null
+++ b/results/test/hyperbola/problem_1865.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0009cdbcb68bfede8544178a1d3195e0aca0d2adc3b342feefbe8cd19ecfc21b
+size 274297
diff --git a/results/test/hyperbola/problem_1868.png b/results/test/hyperbola/problem_1868.png
new file mode 100644
index 0000000000000000000000000000000000000000..11315adf3e65b84dcab4203aa1c7a7972c00dafc
--- /dev/null
+++ b/results/test/hyperbola/problem_1868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb10acb8ead495b5eeef752ad08b082f351f25deb65fd861a02d24a0a6c2e74e
+size 265474
diff --git a/results/test/hyperbola/problem_1871.png b/results/test/hyperbola/problem_1871.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d10a566cdaa3c9d6380636594ad3d6fc1438cbe
--- /dev/null
+++ b/results/test/hyperbola/problem_1871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33493c64be92308c595387dc35c53a01831ad74a07d7931a08560c73c00be016
+size 265653
diff --git a/results/test/hyperbola/problem_1873.png b/results/test/hyperbola/problem_1873.png
new file mode 100644
index 0000000000000000000000000000000000000000..8840f539a0f0e75eccd7e3eb75e0c6c4e9f1d812
--- /dev/null
+++ b/results/test/hyperbola/problem_1873.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:899432ba68bbee0ecbbce21151093c010746513c745001955bfeb186b29876ac
+size 272337
diff --git a/results/test/hyperbola/problem_1875.png b/results/test/hyperbola/problem_1875.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a2448a7621c519974275a44a31262377f1d9acf
--- /dev/null
+++ b/results/test/hyperbola/problem_1875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdebcad1b498616a281e0b5e0988a9f2f4d1fcdf0ff7450980e8a354db3a0c18
+size 248194
diff --git a/results/test/hyperbola/problem_1883.png b/results/test/hyperbola/problem_1883.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec6f499fcc708a52c2a57fe71e156e541a2c988b
--- /dev/null
+++ b/results/test/hyperbola/problem_1883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:566a1581f010129c3b736e61f5f926c614313b3620498dfb190cd1ced6755de7
+size 270732
diff --git a/results/test/hyperbola/problem_1886.png b/results/test/hyperbola/problem_1886.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8d710ec4662a9d6c1cefd7af177c3d385c8097d
--- /dev/null
+++ b/results/test/hyperbola/problem_1886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9a9d1e3fd03dd4f8f16edbd7f74332e247e8ed472070dd209d2b518fe53f8ff
+size 255879
diff --git a/results/test/hyperbola/problem_1888.png b/results/test/hyperbola/problem_1888.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2feca09d4774ba39440e10ae08e02ca00d199a0
--- /dev/null
+++ b/results/test/hyperbola/problem_1888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ace8325e3b167e978ebf5fc8ebc86610a864a70a4a28286cc7191b106fb7cec2
+size 267701
diff --git a/results/test/hyperbola/problem_1892.png b/results/test/hyperbola/problem_1892.png
new file mode 100644
index 0000000000000000000000000000000000000000..b789a4fe4618cb7ce5d9cd7aec26c9988e979606
--- /dev/null
+++ b/results/test/hyperbola/problem_1892.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3787d3522fe3b513daff93b98a1f6294d35277ecafcd14a48370965b82d0037
+size 259765
diff --git a/results/test/hyperbola/problem_1894.png b/results/test/hyperbola/problem_1894.png
new file mode 100644
index 0000000000000000000000000000000000000000..996b8b0c08d8b1e972d89d088c71d6e83fa26ca9
--- /dev/null
+++ b/results/test/hyperbola/problem_1894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:003577fb293626492fc6107e5697da10327aaaefb794d419e3c499253955e4cf
+size 226195
diff --git a/results/test/hyperbola/problem_1904.png b/results/test/hyperbola/problem_1904.png
new file mode 100644
index 0000000000000000000000000000000000000000..80c9def29f0a31eb1b6c1e3ccb5b023b9f07bff4
--- /dev/null
+++ b/results/test/hyperbola/problem_1904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2face1010bd65a4e6a6f1b69cb67fc3cb1871f5ef1277ab88858bd91abe2070b
+size 274240
diff --git a/results/test/hyperbola/problem_1905.png b/results/test/hyperbola/problem_1905.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf6ba52e885d25dcb718f9cb0eff25b901df5ef5
--- /dev/null
+++ b/results/test/hyperbola/problem_1905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:539193ef64d876e3b25ac2a821bfe9c3cc668c6dd7f8f50b779892eb268a8c62
+size 278407
diff --git a/results/test/hyperbola/problem_1906.png b/results/test/hyperbola/problem_1906.png
new file mode 100644
index 0000000000000000000000000000000000000000..401aba760317d6e67fa317917da76a6a1506ba2e
--- /dev/null
+++ b/results/test/hyperbola/problem_1906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ee07ed20834ba95b879945b745ab229b1e1328f23bb35fcdf7d09e03436bbba
+size 255746
diff --git a/results/test/hyperbola/problem_1908.png b/results/test/hyperbola/problem_1908.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1d60649c057a81e5638306f2004489c4a7383cb
--- /dev/null
+++ b/results/test/hyperbola/problem_1908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9910129bf877bfdcb772959eafc41a1477b7adbb72992ba9b670988a067c5c37
+size 286114
diff --git a/results/test/hyperbola/problem_1910.png b/results/test/hyperbola/problem_1910.png
new file mode 100644
index 0000000000000000000000000000000000000000..80bb7f0f2d37611dbc317a9ccc7017aeded4d795
--- /dev/null
+++ b/results/test/hyperbola/problem_1910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edf8e7d667d28be70f2a43a1866ca8e01da1845ee4432f06ec4e75609e47475e
+size 272321
diff --git a/results/test/hyperbola/problem_1911.png b/results/test/hyperbola/problem_1911.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e3a385cef101c560195074350c6f09a5853334d
--- /dev/null
+++ b/results/test/hyperbola/problem_1911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b06e6abe7ffa259ced333ace141064bcb0836a5474d0d97ecb88d3984080532e
+size 275621
diff --git a/results/test/hyperbola/problem_1912.png b/results/test/hyperbola/problem_1912.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c752f387d56cffdc5a7a8585b5b48ae2c7a3ed3
--- /dev/null
+++ b/results/test/hyperbola/problem_1912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8cd91db91ff9864a9d9a956f87316a9cd0592cd00541ca55bed96134220adfc
+size 267414
diff --git a/results/test/hyperbola/problem_1913.png b/results/test/hyperbola/problem_1913.png
new file mode 100644
index 0000000000000000000000000000000000000000..d32043e43a4034e59028bc70652e7b2c37b5798b
--- /dev/null
+++ b/results/test/hyperbola/problem_1913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e98b37c1e7660282b5be7b82877db3b72461ee331de3b2fc18e53d78d1f61b8
+size 255645
diff --git a/results/test/hyperbola/problem_1916.png b/results/test/hyperbola/problem_1916.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd6d8ea556d54c84b324835569a2a94dc5bb420f
--- /dev/null
+++ b/results/test/hyperbola/problem_1916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cbf0d4a1cec042d4a887fe39bdea2b8d60d70f527a04ab0393a475e3a624b95
+size 271879
diff --git a/results/test/hyperbola/problem_1918.png b/results/test/hyperbola/problem_1918.png
new file mode 100644
index 0000000000000000000000000000000000000000..1424d5b661ef4900e9dfe2b4fdb6a6001dfd8eb0
--- /dev/null
+++ b/results/test/hyperbola/problem_1918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7dc31e9efdd4aa6fc93d2e70799944774f2b2fc0e932fbb0868dac0f4a20835
+size 230756
diff --git a/results/test/hyperbola/problem_1921.png b/results/test/hyperbola/problem_1921.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2e28547d17a2b580513cbce226738020a294595
--- /dev/null
+++ b/results/test/hyperbola/problem_1921.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ba022f08b361db65cbbdf2cf777046dd0d288970ac8fd6d930cc57aa6e6c223
+size 267496
diff --git a/results/test/hyperbola/problem_1923.png b/results/test/hyperbola/problem_1923.png
new file mode 100644
index 0000000000000000000000000000000000000000..e182bc49d912c058f7ebc69ffca2fd93cf67b413
--- /dev/null
+++ b/results/test/hyperbola/problem_1923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef15db07d044f8b6462c983ac2fb9318ef61f73d8319f83c891b007bfabcb687
+size 265801
diff --git a/results/test/hyperbola/problem_1925.png b/results/test/hyperbola/problem_1925.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a997a554f1f89c636297b2eb495e3a53dab8363
--- /dev/null
+++ b/results/test/hyperbola/problem_1925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad90de91f74f684299d3acef67825361ab72703b5e7b94e500b30087ab1bc010
+size 250001
diff --git a/results/test/hyperbola/problem_1926.png b/results/test/hyperbola/problem_1926.png
new file mode 100644
index 0000000000000000000000000000000000000000..176e0a8d694eeabd6a464d4122d64ffc1e2eaeb3
--- /dev/null
+++ b/results/test/hyperbola/problem_1926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28c21ef2e56b60b5666e51e465f15e010ec59b063aee13f87532af1cd2df51a6
+size 264505
diff --git a/results/test/hyperbola/problem_1927.png b/results/test/hyperbola/problem_1927.png
new file mode 100644
index 0000000000000000000000000000000000000000..07b249e399dd1bad51528cbce59d0799de3a2295
--- /dev/null
+++ b/results/test/hyperbola/problem_1927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4fc834c3f4efe30dbf4239e22c9dc0446ef857520c235f44cbd585b3535d7f6
+size 261015
diff --git a/results/test/hyperbola/problem_1934.png b/results/test/hyperbola/problem_1934.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f3aca9ed69f76ab4549c54810597e8d34f2e700
--- /dev/null
+++ b/results/test/hyperbola/problem_1934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71c374f78c1603d81e23915dde5eb95359aca23d1a79a2dbb6b8b8dfe2bc71ed
+size 258743
diff --git a/results/test/hyperbola/problem_1935.png b/results/test/hyperbola/problem_1935.png
new file mode 100644
index 0000000000000000000000000000000000000000..82f5da6d14ec447cac0695efb1787c06212f5113
--- /dev/null
+++ b/results/test/hyperbola/problem_1935.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:425455ab392770e11b6211417d198f28f01934677771ab0dd78dad76626f05b4
+size 259207
diff --git a/results/test/hyperbola/problem_1944.png b/results/test/hyperbola/problem_1944.png
new file mode 100644
index 0000000000000000000000000000000000000000..484c2938b8a6b683d6b4b7c3128330e7deb04d03
--- /dev/null
+++ b/results/test/hyperbola/problem_1944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23a8958746b45af65f603c5cf63aba19c6d8d05d5aa80dd7fe1aa4b6da12a4a0
+size 211987
diff --git a/results/test/hyperbola/problem_1948.png b/results/test/hyperbola/problem_1948.png
new file mode 100644
index 0000000000000000000000000000000000000000..3398f21640739d82d5d325e127a4d261126dce6d
--- /dev/null
+++ b/results/test/hyperbola/problem_1948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93b5897b8db45625be4bc4644ee2312fa63059a17117da7135a7623ae7f7ec75
+size 253713
diff --git a/results/test/hyperbola/problem_1950.png b/results/test/hyperbola/problem_1950.png
new file mode 100644
index 0000000000000000000000000000000000000000..5039ee55fa9f37ddb5f9d670a6650df2932a29f9
--- /dev/null
+++ b/results/test/hyperbola/problem_1950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3829a783142911707d379a85a155ce0bc48aa618c433eabe293f9e5f4f7704e
+size 276056
diff --git a/results/test/hyperbola/problem_1958.png b/results/test/hyperbola/problem_1958.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c0017c6010ec180618a322c23293bdd071439c8
--- /dev/null
+++ b/results/test/hyperbola/problem_1958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff6da3d29844794d0ec8992df4a2e866c7bfc2ff42acb3ac70c2e63e93bfd80e
+size 246737
diff --git a/results/test/hyperbola/problem_1966.png b/results/test/hyperbola/problem_1966.png
new file mode 100644
index 0000000000000000000000000000000000000000..e63bbdab662e41a5a06ed5e2dbc4323eafa2683c
--- /dev/null
+++ b/results/test/hyperbola/problem_1966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:297bbb1e1fe7f9813bff8ed6958458ca14088b935e079280fa51a8d3f91c538b
+size 266548
diff --git a/results/test/hyperbola/problem_1968.png b/results/test/hyperbola/problem_1968.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1700965308033240154d95559f698d5fddfcd8c
--- /dev/null
+++ b/results/test/hyperbola/problem_1968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee974f9a842b3e8afa9ecf970d86542bdbb5c417a73b25aca9f3548dcda9b903
+size 262270
diff --git a/results/test/hyperbola/problem_1971.png b/results/test/hyperbola/problem_1971.png
new file mode 100644
index 0000000000000000000000000000000000000000..37ccf17fe6b7b176869a27ab15a81759bd144b69
--- /dev/null
+++ b/results/test/hyperbola/problem_1971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c53f30f9944413bd68d823de5e2fc95bb04779d69d4a2efdd23c264debdf8ca8
+size 259525
diff --git a/results/test/hyperbola/problem_1977.png b/results/test/hyperbola/problem_1977.png
new file mode 100644
index 0000000000000000000000000000000000000000..dedd3d86a56f5c337b1c7db583b6364f73045c0f
--- /dev/null
+++ b/results/test/hyperbola/problem_1977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e424d435845340bae5385b21a9e8dbb8028fb5c8a0ac7d6351855053c3d0fcba
+size 261095
diff --git a/results/test/hyperbola/problem_1978.png b/results/test/hyperbola/problem_1978.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cdcd720e3c418d9e3cedfdfc51ea1981ad77200
--- /dev/null
+++ b/results/test/hyperbola/problem_1978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a72bfeb16dfe8f0af2bacf2aec213d4072ec18867f7d5fbb3db13b085ff242f6
+size 237822
diff --git a/results/test/hyperbola/problem_1979.png b/results/test/hyperbola/problem_1979.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e62c049f9a917340d24684b8d8087d9d5b0a844
--- /dev/null
+++ b/results/test/hyperbola/problem_1979.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2a55ff97a2963a2860f50e88d9be61c7ba0ab3ac293ec8b4d7cbe99c682067d
+size 276591
diff --git a/results/test/hyperbola/problem_1980.png b/results/test/hyperbola/problem_1980.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d699a5177e3a2beebbbe437a6c39984086e6c09
--- /dev/null
+++ b/results/test/hyperbola/problem_1980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee17f50d70712c6b2bec2be2e2b8568d0885836c63d152ce51667887f1af0c57
+size 272101
diff --git a/results/test/hyperbola/problem_1986.png b/results/test/hyperbola/problem_1986.png
new file mode 100644
index 0000000000000000000000000000000000000000..578a06f01ca96e789320534e63e7e47c225afb28
--- /dev/null
+++ b/results/test/hyperbola/problem_1986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:531c70bb6348a5fd3bf0a2222e3d02f83d872b9b81264a21401e67203ba039e3
+size 262578
diff --git a/results/test/hyperbola/problem_1987.png b/results/test/hyperbola/problem_1987.png
new file mode 100644
index 0000000000000000000000000000000000000000..e876b1fbfec839786fa0e203bd0be255f9d143f1
--- /dev/null
+++ b/results/test/hyperbola/problem_1987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:312eae063464185c5ce29df2763f766661f0651fed48158959d834d9acf72314
+size 246113
diff --git a/results/test/hyperbola/problem_1989.png b/results/test/hyperbola/problem_1989.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b9aaed05c7129b324b8254bb1c2121f647caf4f
--- /dev/null
+++ b/results/test/hyperbola/problem_1989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ba89451af846e77abff39d018029cbff4c63319fa9ca921ef3a6aaea6e2b074
+size 268378
diff --git a/results/test/hyperbola/problem_1993.png b/results/test/hyperbola/problem_1993.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0f34d152a8e92a45ac0a5101ead717e1123fd43
--- /dev/null
+++ b/results/test/hyperbola/problem_1993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3335c9390a5fcfcf5dc92d2c10b27e47b42ae7aba5f9658c3bd4a4f3acb62dc1
+size 258145
diff --git a/results/test/hyperbola/problem_2002.png b/results/test/hyperbola/problem_2002.png
new file mode 100644
index 0000000000000000000000000000000000000000..66e8579a92822596a2e08b2a16e843a17d6c7caa
--- /dev/null
+++ b/results/test/hyperbola/problem_2002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84e1e03cba478758a554d3200d5a0ce64e60b0c82dd6dee7f9526de5c6fd1ebc
+size 257692
diff --git a/results/test/hyperbola/problem_2003.png b/results/test/hyperbola/problem_2003.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc4000d0e3c62ef21619d40288cd906b7feba952
--- /dev/null
+++ b/results/test/hyperbola/problem_2003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0621856950a919124ff1eeb933d9e1ccd3ff649825807147c1e43922ce2f44d5
+size 252773
diff --git a/results/test/hyperbola/problem_2004.png b/results/test/hyperbola/problem_2004.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d2539079107aaaf428841d97a1e64cbe06de654
--- /dev/null
+++ b/results/test/hyperbola/problem_2004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c35d671420e2c0c687454ce6e51b4ce09eaee2c3c0f3b524973be0f7b47c6555
+size 267984
diff --git a/results/test/hyperbola/problem_2008.png b/results/test/hyperbola/problem_2008.png
new file mode 100644
index 0000000000000000000000000000000000000000..66e6415911e1b120566c2b78624002193c37c002
--- /dev/null
+++ b/results/test/hyperbola/problem_2008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e31e3a4dfaa2e40f131ccba31fd4f65dcd4f1e84127ae579c2a22e0c96fe6184
+size 270464
diff --git a/results/test/hyperbola/problem_2015.png b/results/test/hyperbola/problem_2015.png
new file mode 100644
index 0000000000000000000000000000000000000000..28c0bda35eb5407ef495aaf1c9a9fa06c6a1a235
--- /dev/null
+++ b/results/test/hyperbola/problem_2015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebeed5f3ba17f370eaec724da2673ecec1a7430c59508513d7e45419945c0201
+size 290732
diff --git a/results/test/hyperbola/problem_2019.png b/results/test/hyperbola/problem_2019.png
new file mode 100644
index 0000000000000000000000000000000000000000..13e424b4e75749f4974dc2e5548ecfbcdf3de591
--- /dev/null
+++ b/results/test/hyperbola/problem_2019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06e6f35ad4b0d3ac263101a1ba8618b13ae261fc5a400d8a6aa55474fce73771
+size 270203
diff --git a/results/test/hyperbola/problem_2022.png b/results/test/hyperbola/problem_2022.png
new file mode 100644
index 0000000000000000000000000000000000000000..77eb457d3c0d63bd12a1e399cd4a86f0fca51c5d
--- /dev/null
+++ b/results/test/hyperbola/problem_2022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93961a0273b323f7c4b1c844077bbc8c7138810a25125c05336b8dad2e4d66f8
+size 235973
diff --git a/results/test/hyperbola/problem_2023.png b/results/test/hyperbola/problem_2023.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ef57ae1634b52c15c9916bd9638aa8504874868
--- /dev/null
+++ b/results/test/hyperbola/problem_2023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e420a1ed31394efa4010144532c507d696a174baf39dcaeb223bbcc339d10261
+size 256282
diff --git a/results/test/hyperbola/problem_2024.png b/results/test/hyperbola/problem_2024.png
new file mode 100644
index 0000000000000000000000000000000000000000..93ece87031479aca292b5645e8009d86f3384a26
--- /dev/null
+++ b/results/test/hyperbola/problem_2024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c569e3cd1f5e348d81161f3b7f4147a8964b7e3b61e6cf43761f115a86a2c44e
+size 269963
diff --git a/results/test/hyperbola/problem_2025.png b/results/test/hyperbola/problem_2025.png
new file mode 100644
index 0000000000000000000000000000000000000000..aee6bbc2e0cd190ea9e6fe738a806d106a32e9fa
--- /dev/null
+++ b/results/test/hyperbola/problem_2025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:877af7ed864cf3102d0eb7d76c1e6c33a63cb885e9a3d4358194284871a62190
+size 257473
diff --git a/results/test/hyperbola/problem_2040.png b/results/test/hyperbola/problem_2040.png
new file mode 100644
index 0000000000000000000000000000000000000000..320d02d16e7be048e0e9c72c9feca3e36de3849f
--- /dev/null
+++ b/results/test/hyperbola/problem_2040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef06fed0ac4566ad67ebe4375afe372deb9b5f934e73399b8a6f9ad20aea3064
+size 265035
diff --git a/results/test/hyperbola/problem_2041.png b/results/test/hyperbola/problem_2041.png
new file mode 100644
index 0000000000000000000000000000000000000000..aea004c4b1112465b3a7dda388986292331486f1
--- /dev/null
+++ b/results/test/hyperbola/problem_2041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1786bf7869535dcc685f424ea847c6e053e67635fb74302e20111a6451b8a310
+size 255233
diff --git a/results/test/hyperbola/problem_2045.png b/results/test/hyperbola/problem_2045.png
new file mode 100644
index 0000000000000000000000000000000000000000..79e80ccc82a0b6e5502b934c7e3d9476dd68c5af
--- /dev/null
+++ b/results/test/hyperbola/problem_2045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8108938ddd8cc82c6f82d1a7a4fe97cd87b7fcfea623d5a0d77703b4791b154b
+size 253650
diff --git a/results/test/hyperbola/problem_2047.png b/results/test/hyperbola/problem_2047.png
new file mode 100644
index 0000000000000000000000000000000000000000..843a18770b7e3f4bccc0e89d40655f45516477c1
--- /dev/null
+++ b/results/test/hyperbola/problem_2047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11ef8e313d4ed28ca187ed080467d5cd76d2425c061cd6f45feecf9917f2ad9e
+size 269086
diff --git a/results/test/hyperbola/problem_2049.png b/results/test/hyperbola/problem_2049.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef8fab197859f86c9a1f72e466a4cb8966df97a1
--- /dev/null
+++ b/results/test/hyperbola/problem_2049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b30840fe094c6e2ac0480051af8722fc3a64039218089aa27864743632436e8
+size 255902
diff --git a/results/test/hyperbola/problem_2051.png b/results/test/hyperbola/problem_2051.png
new file mode 100644
index 0000000000000000000000000000000000000000..d844e68b171df61787111d31b396100b07b4041d
--- /dev/null
+++ b/results/test/hyperbola/problem_2051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:665c2097e1fe977b06704cb2ded4af6b1126df8f0f5f482287bdd8b08c97f9a1
+size 258336
diff --git a/results/test/hyperbola/problem_2053.png b/results/test/hyperbola/problem_2053.png
new file mode 100644
index 0000000000000000000000000000000000000000..cece756be6795fab3ba372742f004b59fd3c0cb2
--- /dev/null
+++ b/results/test/hyperbola/problem_2053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d19c5a6ac4d29bd7eae3214ff322f410a34ce6f0415fa1c883519890d0c9b40d
+size 251853
diff --git a/results/test/hyperbola/problem_2057.png b/results/test/hyperbola/problem_2057.png
new file mode 100644
index 0000000000000000000000000000000000000000..1759973770ad693741a649a06565fb3e69746f3b
--- /dev/null
+++ b/results/test/hyperbola/problem_2057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0860040fbb5dbd134dc02f8021b6415fa98743a5b383a596e48b6cf4ff851953
+size 269723
diff --git a/results/test/hyperbola/problem_2060.png b/results/test/hyperbola/problem_2060.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a4d0cdfcec5ee30f53c3c2c19d3ddcccdbcb288
--- /dev/null
+++ b/results/test/hyperbola/problem_2060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8faa8f664fc85c3f685dba6acdcf5899955231dc56717099b9070c93ebcc2eae
+size 299949
diff --git a/results/test/hyperbola/problem_2065.png b/results/test/hyperbola/problem_2065.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2eecfdea6a9893dc9928eca15f29bfef90a8e70
--- /dev/null
+++ b/results/test/hyperbola/problem_2065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:935f402a0e1d2fef16508f3a34e2089e5a2efb6105f24a41b8587377e6ab2be4
+size 272272
diff --git a/results/test/parabola/problem_0002.png b/results/test/parabola/problem_0002.png
new file mode 100644
index 0000000000000000000000000000000000000000..553674cddef7037c875a38b51d13d2d70c1a8212
--- /dev/null
+++ b/results/test/parabola/problem_0002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c909c74e0190e6168e78766d47270e906d3363fe6e865486e865ddb3323de09
+size 191045
diff --git a/results/test/parabola/problem_0009.png b/results/test/parabola/problem_0009.png
new file mode 100644
index 0000000000000000000000000000000000000000..9841d84e338f8050791774ec285252f1f82a57d8
--- /dev/null
+++ b/results/test/parabola/problem_0009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab8d956257a9e98115ac90330a9cadd2978eb10472295e7234f379b028b5d8e4
+size 187875
diff --git a/results/test/parabola/problem_0010.png b/results/test/parabola/problem_0010.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0ecba270bf9fe68a41cd9b2d95103daedeca3d2
--- /dev/null
+++ b/results/test/parabola/problem_0010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:933d3881b37b46ed91a9a38fc35f11db6319615567f0a09f63f4a2c447d0c547
+size 184714
diff --git a/results/test/parabola/problem_0011.png b/results/test/parabola/problem_0011.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ad8ddc64e4d86ea12789ddbfe1791455f160a79
--- /dev/null
+++ b/results/test/parabola/problem_0011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e31d8ecf5b31f61c85964af7fc27890ee64307b3d85c924fb06dcb81a490cb0
+size 180724
diff --git a/results/test/parabola/problem_0013.png b/results/test/parabola/problem_0013.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f25847599623cf140b33ccac80431667a10c46e
--- /dev/null
+++ b/results/test/parabola/problem_0013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3a235574ff6d422c55700bebbf71696ee8f4dad4e583ab63f51aa2e9bfc5d9a
+size 158312
diff --git a/results/test/parabola/problem_0017.png b/results/test/parabola/problem_0017.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fc9641a2502be964b0c80b33b553e37103910a9
--- /dev/null
+++ b/results/test/parabola/problem_0017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5445031823e41416d7e6ca14de29e3d17ad8cfb32b70b3963b614235eabe9f77
+size 191174
diff --git a/results/test/parabola/problem_0018.png b/results/test/parabola/problem_0018.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fffc8ba676f7814a8b7708d559c845247d62430
--- /dev/null
+++ b/results/test/parabola/problem_0018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:856b86c0e64afd9437d2b792253c0a87966178b08e3eecb6485e9ef2f5e494e1
+size 192750
diff --git a/results/test/parabola/problem_0020.png b/results/test/parabola/problem_0020.png
new file mode 100644
index 0000000000000000000000000000000000000000..0367b6d52990277caca2558c9a5c0300c0592b40
--- /dev/null
+++ b/results/test/parabola/problem_0020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ad23fd81ae0c50c07166cd989946c86e2bd5495925d5314a364c5f523d1448c
+size 200652
diff --git a/results/test/parabola/problem_0022.png b/results/test/parabola/problem_0022.png
new file mode 100644
index 0000000000000000000000000000000000000000..93adc92a51b20b8a3188b153c24c07d1a0ab7168
--- /dev/null
+++ b/results/test/parabola/problem_0022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5d997b99704b096a080b5f9a2a92ed891705b074fe4888384087557641c98f5
+size 189199
diff --git a/results/test/parabola/problem_0023.png b/results/test/parabola/problem_0023.png
new file mode 100644
index 0000000000000000000000000000000000000000..6dc49cd85016a3f3d589a08fb0482ac5ac619191
--- /dev/null
+++ b/results/test/parabola/problem_0023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd54ff8565d1fed6b7d70df443840a3cf426dd638e7f88b63468ac64c08eab24
+size 189361
diff --git a/results/test/parabola/problem_0026.png b/results/test/parabola/problem_0026.png
new file mode 100644
index 0000000000000000000000000000000000000000..2275c5cc04cf787ba859029fad332a21a766ed6b
--- /dev/null
+++ b/results/test/parabola/problem_0026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebe4752c32f287e0b9a4295e4ebd14d60f71d5214f0e5fa8bf73f00209bfe7bf
+size 186860
diff --git a/results/test/parabola/problem_0027.png b/results/test/parabola/problem_0027.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cea0ae07cc835f475347033b424b6ec17ccb8f5
--- /dev/null
+++ b/results/test/parabola/problem_0027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7b98964cd202a03d2c9bdcbf6e452829aafb677b6b1a1370f61ad030d4b5a98
+size 200291
diff --git a/results/test/parabola/problem_0031.png b/results/test/parabola/problem_0031.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc035f2b1c439e77ff13bb6cac0247b8c4c4ad01
--- /dev/null
+++ b/results/test/parabola/problem_0031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:999a476d914097070b50360f4037f8ed6401112f2133feba0fb5aa16c067af5f
+size 189426
diff --git a/results/test/parabola/problem_0041.png b/results/test/parabola/problem_0041.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea68e4c30566a6eb3dd8b69f8b8f878034514778
--- /dev/null
+++ b/results/test/parabola/problem_0041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75eab2f90767129e8e0c43e03f70bb566b2e1b6a85c187fd9eb5b8a6359ada1b
+size 202555
diff --git a/results/test/parabola/problem_0042.png b/results/test/parabola/problem_0042.png
new file mode 100644
index 0000000000000000000000000000000000000000..9919890ead6ca41feaeff77893995e6e9c8843e8
--- /dev/null
+++ b/results/test/parabola/problem_0042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d8d1ca58436d12014e5945180f01ee4072b942b838daa387b4f13379024ca4b
+size 180383
diff --git a/results/test/parabola/problem_0047.png b/results/test/parabola/problem_0047.png
new file mode 100644
index 0000000000000000000000000000000000000000..c483223783689d6d501c46fbb37e752749d3caaa
--- /dev/null
+++ b/results/test/parabola/problem_0047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb58d61876eadcd53fc8e6351124efffdd46561f6970d36e2ab71aa964b8b82d
+size 208756
diff --git a/results/test/parabola/problem_0051.png b/results/test/parabola/problem_0051.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f226e6b8050e15c68d030f76062550498d21dcb
--- /dev/null
+++ b/results/test/parabola/problem_0051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb937378b2f72db2c46336517e014fbcd6e7bba22e5c2c508870a0e6207950c4
+size 186530
diff --git a/results/test/parabola/problem_0052.png b/results/test/parabola/problem_0052.png
new file mode 100644
index 0000000000000000000000000000000000000000..63b839f004c3b84a84c27d710c0184880544be99
--- /dev/null
+++ b/results/test/parabola/problem_0052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecce98c98571f9b94f4a0d477b5ceb2dc58521aa8e061fa5ca42582502579526
+size 189058
diff --git a/results/test/parabola/problem_0056.png b/results/test/parabola/problem_0056.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b55885a3326e9c8e4014588401e468725b37789
--- /dev/null
+++ b/results/test/parabola/problem_0056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:185fbed7bdabf43949e4e6b1bc68990ad22a737ac9f49b281a88b33c061bc844
+size 182504
diff --git a/results/test/parabola/problem_0057.png b/results/test/parabola/problem_0057.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea82517a0f5df5cd9d67da76522d58bd98315123
--- /dev/null
+++ b/results/test/parabola/problem_0057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9556c47e1b5c8d9d506a6323271b69dfbf1f01832aca7a1d64c6124abce22cbd
+size 188963
diff --git a/results/test/parabola/problem_0058.png b/results/test/parabola/problem_0058.png
new file mode 100644
index 0000000000000000000000000000000000000000..12ee359bcfa4a5fdb4bfcee0e0b82552257aff97
--- /dev/null
+++ b/results/test/parabola/problem_0058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd4dff0b5689f6e0c1681c4e73ac5d283c51ab2934ba84936a354e330c9e5f4a
+size 203462
diff --git a/results/test/parabola/problem_0059.png b/results/test/parabola/problem_0059.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd8551dc914adf1a0a0df9c96347325f4761b878
--- /dev/null
+++ b/results/test/parabola/problem_0059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31595a511779bed790f5d26f852993ce2cc68cfd98983778fa0fa7090aa87ff9
+size 173954
diff --git a/results/test/parabola/problem_0064.png b/results/test/parabola/problem_0064.png
new file mode 100644
index 0000000000000000000000000000000000000000..88b708e8e01cc6f05c998be1b842da9ee73c4b4d
--- /dev/null
+++ b/results/test/parabola/problem_0064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afd8e4c20f1672b7e27244ffc52ed15bae6f84fa4f0a47baf2530fd507bc35d4
+size 195891
diff --git a/results/test/parabola/problem_0065.png b/results/test/parabola/problem_0065.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f54b9b78978d5b591252a084f00fd556cfd8420
--- /dev/null
+++ b/results/test/parabola/problem_0065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bc2586ce41081e2bdc5616df84773ff7a2e6ed74b2b1e976ae4f546895ed556
+size 163981
diff --git a/results/test/parabola/problem_0068.png b/results/test/parabola/problem_0068.png
new file mode 100644
index 0000000000000000000000000000000000000000..a71558dd18a71ee8db41b0a12a8458d8aa3adbf0
--- /dev/null
+++ b/results/test/parabola/problem_0068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:939e9b7a0e6e0ab4850525468968f2b0c18eaaf4c206b534322b29d11985c960
+size 194581
diff --git a/results/test/parabola/problem_0070.png b/results/test/parabola/problem_0070.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3cf90a7ab126b06822761d509530b36275d29d2
--- /dev/null
+++ b/results/test/parabola/problem_0070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:354e2dea944ac26dea598fd45dc5936c2ba629e92b65332de73e42459e796970
+size 176445
diff --git a/results/test/parabola/problem_0074.png b/results/test/parabola/problem_0074.png
new file mode 100644
index 0000000000000000000000000000000000000000..032067d1801595c2af299e15e5486ce1b95f3525
--- /dev/null
+++ b/results/test/parabola/problem_0074.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b33c6d91df24ac30e81fe5efe42766538ea4efc3a28de632525e6253c79eab6
+size 196059
diff --git a/results/test/parabola/problem_0077.png b/results/test/parabola/problem_0077.png
new file mode 100644
index 0000000000000000000000000000000000000000..27df18aac0c8c53252a2a7ff6eb67c0e4a3156a5
--- /dev/null
+++ b/results/test/parabola/problem_0077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e08a68170f8bada38c529a33ecd7c9b8c4ab67c4629f2af2dec5ca01b7e89d36
+size 191668
diff --git a/results/test/parabola/problem_0081.png b/results/test/parabola/problem_0081.png
new file mode 100644
index 0000000000000000000000000000000000000000..32c062b04c233b47d79e842d38bfd4542a8c4aad
--- /dev/null
+++ b/results/test/parabola/problem_0081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f943ad6f0fdd2338dd8d4a3c0c3acce4ead0b4a83a782dd2b1ddd2440a3339e
+size 192085
diff --git a/results/test/parabola/problem_0082.png b/results/test/parabola/problem_0082.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2aa93b99b4f3d8f3c0fbf2cd01a09ba902beb99
--- /dev/null
+++ b/results/test/parabola/problem_0082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94afcbe8e4233b29021de96f18eaa772ba8f72f3290ad3aadda2a936867cf084
+size 200749
diff --git a/results/test/parabola/problem_0083.png b/results/test/parabola/problem_0083.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dd22d75a01efd8a0b54d4f328c2e2d4e1dc30c2
--- /dev/null
+++ b/results/test/parabola/problem_0083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e0d78933e6553b9306f5c73e5f32a5980a98f667b48c88ecb960686e3617b3e
+size 194560
diff --git a/results/test/parabola/problem_0086.png b/results/test/parabola/problem_0086.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b8748a1b528e8e2f124bd57e0d22d47b8e72839
--- /dev/null
+++ b/results/test/parabola/problem_0086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f26a3f0626542a8237833fe1f5cc0774d530a6e22bf33a19d4a1697545e63a38
+size 186671
diff --git a/results/test/parabola/problem_0087.png b/results/test/parabola/problem_0087.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f068614e8f59b2627c4755c599582cd44b86c4d
--- /dev/null
+++ b/results/test/parabola/problem_0087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c93058245ea19a9674fa71e43b5971a6eb532ef2cb34de10129c7da3723e92e7
+size 190162
diff --git a/results/test/parabola/problem_0091.png b/results/test/parabola/problem_0091.png
new file mode 100644
index 0000000000000000000000000000000000000000..07ead53ad6221808cece826daffc3ead79dde957
--- /dev/null
+++ b/results/test/parabola/problem_0091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb4fc967f72eef022298ad40a703f74f808550f493e94645e43aa871c4c5cefa
+size 187153
diff --git a/results/test/parabola/problem_0101.png b/results/test/parabola/problem_0101.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca8de98a88d0fd10033a299876372c1e514542f2
--- /dev/null
+++ b/results/test/parabola/problem_0101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02665b78833f24d4100aa829e64301b10721a0437069a73b6e01c26f99b9de23
+size 192336
diff --git a/results/test/parabola/problem_0110.png b/results/test/parabola/problem_0110.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a446a23644d254e066d956ba5da94b55d46c2ce
--- /dev/null
+++ b/results/test/parabola/problem_0110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4390bf89e050427a75f3965c0dd423b460b9c154fc05496164002f8b6f0bd30
+size 191281
diff --git a/results/test/parabola/problem_0120.png b/results/test/parabola/problem_0120.png
new file mode 100644
index 0000000000000000000000000000000000000000..f11077975b3aeffcddbf085e3853cecd7b52c20e
--- /dev/null
+++ b/results/test/parabola/problem_0120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71f2f6ee5aeaa184e7097cd10fe76d33f8bc9114319dd88dd519cbd6c74474b4
+size 178563
diff --git a/results/test/parabola/problem_0121.png b/results/test/parabola/problem_0121.png
new file mode 100644
index 0000000000000000000000000000000000000000..aec0eeefef5d6c1c04c91d38f706342ef50adc4e
--- /dev/null
+++ b/results/test/parabola/problem_0121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcae17f196113144e3f020490325952839031bcad0bfdce855804771eb155001
+size 166145
diff --git a/results/test/parabola/problem_0122.png b/results/test/parabola/problem_0122.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c96218f073a364ad0721ba1f6001f1b466df589
--- /dev/null
+++ b/results/test/parabola/problem_0122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e09ca5bb237da58e422a8cbdf1f19d0ec44905848c67a8bffc51a07737b0b86
+size 194432
diff --git a/results/test/parabola/problem_0124.png b/results/test/parabola/problem_0124.png
new file mode 100644
index 0000000000000000000000000000000000000000..227861be7d6276ab2095d5b602be92eed87726b4
--- /dev/null
+++ b/results/test/parabola/problem_0124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1539f8ee9986329432046b53651119e7c063e4f9074f347ccee4c23a61bf038c
+size 195138
diff --git a/results/test/parabola/problem_0125.png b/results/test/parabola/problem_0125.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ceed49786ce06fa3298c768d294f50c85227b2b
--- /dev/null
+++ b/results/test/parabola/problem_0125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef24a402455e103b324d6474d75c51bc6be9a2a1cb4b30b836b1a0de230f6fa4
+size 195835
diff --git a/results/test/parabola/problem_0136.png b/results/test/parabola/problem_0136.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a9c620e2f31979b5f536f59d824484bceab48b3
--- /dev/null
+++ b/results/test/parabola/problem_0136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c144e5c781eb0e63f310b455088ed6f499f119239d8d899017794afcae22a8b3
+size 183236
diff --git a/results/test/parabola/problem_0138.png b/results/test/parabola/problem_0138.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb889ad04c070eb2693df51261dc55666b48bcd6
--- /dev/null
+++ b/results/test/parabola/problem_0138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ede4aaaa6db9f6e45e7eea3e04dd8c7621e53d8b73f1a170869b0305adf8b31
+size 190617
diff --git a/results/test/parabola/problem_0144.png b/results/test/parabola/problem_0144.png
new file mode 100644
index 0000000000000000000000000000000000000000..e37f2af8a6362107d550a5f19d94b1260953a695
--- /dev/null
+++ b/results/test/parabola/problem_0144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f7bd7d240c50652059dde825071b304ebdec28d1a50d344e0412215507a4c96
+size 202014
diff --git a/results/test/parabola/problem_0149.png b/results/test/parabola/problem_0149.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcab2c49689882abb95f0398cd620f86b8500288
--- /dev/null
+++ b/results/test/parabola/problem_0149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1ca80f358190805edbc7603b18cb9fe3c96f51a5d98c344c06e9180bb13eca2
+size 190835
diff --git a/results/test/parabola/problem_0156.png b/results/test/parabola/problem_0156.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4f4e3108c1c3d364c7993a5be944df33177d90a
--- /dev/null
+++ b/results/test/parabola/problem_0156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d862ea2a958c31c6888e077399932200f98b6ca72ee45351efd2e3fc46165c1c
+size 191875
diff --git a/results/test/parabola/problem_0164.png b/results/test/parabola/problem_0164.png
new file mode 100644
index 0000000000000000000000000000000000000000..23c9fe4285f78eb46e609603ac18e768e09f9eff
--- /dev/null
+++ b/results/test/parabola/problem_0164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0eefcc37a9a32797e0af1308ba3d80f1c93731c545b2462461c592f9e7cc9530
+size 203700
diff --git a/results/test/parabola/problem_0170.png b/results/test/parabola/problem_0170.png
new file mode 100644
index 0000000000000000000000000000000000000000..78813bd5ae8a3a527e49cc7b8cb572d29388b235
--- /dev/null
+++ b/results/test/parabola/problem_0170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60284f0c6c1d39524c33d3da5c05257d80d7236380448bbf92168c1cbc9f1d59
+size 155169
diff --git a/results/test/parabola/problem_0172.png b/results/test/parabola/problem_0172.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0040e6291ebfdc0750c86f71c182de2ef239dad
--- /dev/null
+++ b/results/test/parabola/problem_0172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f59b4029b363afdce439ae018e54d3335a02490d84a56bffc2f760c03b0afac2
+size 197233
diff --git a/results/test/parabola/problem_0173.png b/results/test/parabola/problem_0173.png
new file mode 100644
index 0000000000000000000000000000000000000000..603751962b9619737e0d620e05ab780a25803959
--- /dev/null
+++ b/results/test/parabola/problem_0173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:346a957d41520cc996c8b426ff07a693c3701657f18c6a02bffff859c7e7b66a
+size 185747
diff --git a/results/test/parabola/problem_0177.png b/results/test/parabola/problem_0177.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe6a80b9b747af12d6a2a38931a9a0a67caa6d27
--- /dev/null
+++ b/results/test/parabola/problem_0177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4be85ad816e3502d21a95440c669054878509b093d989fabf3342752e59f5b35
+size 189956
diff --git a/results/test/parabola/problem_0179.png b/results/test/parabola/problem_0179.png
new file mode 100644
index 0000000000000000000000000000000000000000..25c4d704b49a6bc5360ee8ea6d6c8d504cd6c167
--- /dev/null
+++ b/results/test/parabola/problem_0179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ea4b98dacebb7d93e048da620b8aa821386e3dcf36a1a33e6d59e5a0ae261bb
+size 186233
diff --git a/results/test/parabola/problem_0181.png b/results/test/parabola/problem_0181.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4a84906d7816622f1ddbdc83ff1dd7d61ca2b0a
--- /dev/null
+++ b/results/test/parabola/problem_0181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d92fe1c430aaa861d7f563c0ffdccca2814fff2f7a839c6cf741aa894bb4da4d
+size 161006
diff --git a/results/test/parabola/problem_0188.png b/results/test/parabola/problem_0188.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c8f3a321826fbe312b00f33097bf7fb00640e7e
--- /dev/null
+++ b/results/test/parabola/problem_0188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4efada63bf97e559d018da723b0e9555b2493f0fa13ca7a1ccec728711679a38
+size 185974
diff --git a/results/test/parabola/problem_0195.png b/results/test/parabola/problem_0195.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1544a57235ece94aff74c270ef94fa809ddc1d6
--- /dev/null
+++ b/results/test/parabola/problem_0195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:160b7460c54a0d5124f246c20659891fabc6824e203e7455b080826d1151f09c
+size 194512
diff --git a/results/test/parabola/problem_0199.png b/results/test/parabola/problem_0199.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a406c3fab5b728838612589c05c75f7f5cca3e4
--- /dev/null
+++ b/results/test/parabola/problem_0199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7039ce92924860473ec807fae688f7dac7a11d2bde5c5eee766454a0668aeb31
+size 190696
diff --git a/results/test/parabola/problem_0201.png b/results/test/parabola/problem_0201.png
new file mode 100644
index 0000000000000000000000000000000000000000..363fc8c1c2dcf01b085d451c0fd8f37e75f8e505
--- /dev/null
+++ b/results/test/parabola/problem_0201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6feb2b791e5a9c68f79071e15ac0900d56c2353bbb2055d76764eb870fc13f36
+size 180170
diff --git a/results/test/parabola/problem_0207.png b/results/test/parabola/problem_0207.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9862950291a1eb746a95359854f76d6e4b1ca3d
--- /dev/null
+++ b/results/test/parabola/problem_0207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e0b81c2b0676b9935d7d18ee67308679dea6d020dc2fe2b013c6439df33d98a
+size 186290
diff --git a/results/test/parabola/problem_0209.png b/results/test/parabola/problem_0209.png
new file mode 100644
index 0000000000000000000000000000000000000000..b98359656af805a126dcbef988d7aed9bedca106
--- /dev/null
+++ b/results/test/parabola/problem_0209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51f537b9da723351b5a20184538f5ff6ae82d18211836c262347ad35c404fc90
+size 190887
diff --git a/results/test/parabola/problem_0210.png b/results/test/parabola/problem_0210.png
new file mode 100644
index 0000000000000000000000000000000000000000..48159b57fcc3514b34ec10d109312f690af7a9f5
--- /dev/null
+++ b/results/test/parabola/problem_0210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75ae3da4589b9819dc67acdc733113ec530d34a099a707ab8f6c780f9de8fede
+size 187912
diff --git a/results/test/parabola/problem_0217.png b/results/test/parabola/problem_0217.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2730770598b735ebf431d4c084e08f224603501
--- /dev/null
+++ b/results/test/parabola/problem_0217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5790586a84ea8fee0a4434e8913295a31f50e11872e184992abce280654b94f8
+size 191051
diff --git a/results/test/parabola/problem_0220.png b/results/test/parabola/problem_0220.png
new file mode 100644
index 0000000000000000000000000000000000000000..947b23b1f0c986cc1840e862b9388229fd31758a
--- /dev/null
+++ b/results/test/parabola/problem_0220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:016d94a70145399c80851648fdfb1666c3c47790bd8fd0e0cf77c2369218ccb2
+size 185589
diff --git a/results/test/parabola/problem_0223.png b/results/test/parabola/problem_0223.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fb30f3bbd9c399ae10e631882b78b101fff85d1
--- /dev/null
+++ b/results/test/parabola/problem_0223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d8159909312771524538f66ad81736f868d2ce50d857186be7510f4741d2f21
+size 189966
diff --git a/results/test/parabola/problem_0227.png b/results/test/parabola/problem_0227.png
new file mode 100644
index 0000000000000000000000000000000000000000..92949647b38531495d3badbea760cae44707a319
--- /dev/null
+++ b/results/test/parabola/problem_0227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ae0e366fbebbd765f282c41f0be27d9c057ad4cb02962c9e4a159856d146c32
+size 196338
diff --git a/results/test/parabola/problem_0238.png b/results/test/parabola/problem_0238.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e863d47ee379e2f906cfc492b5e29ca610f097d
--- /dev/null
+++ b/results/test/parabola/problem_0238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddf70606a17b6a3c71958eeb3cdb1fcd76293abb96f18393d0b10af3d94929c7
+size 184660
diff --git a/results/test/parabola/problem_0239.png b/results/test/parabola/problem_0239.png
new file mode 100644
index 0000000000000000000000000000000000000000..09f923185782a7f2eec8d5e35e3c58adb8c02c47
--- /dev/null
+++ b/results/test/parabola/problem_0239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d840d5baf19d8abd0ff13af19942cc02d8b5c6019dc0e5acaf38c7e644a1c65
+size 180230
diff --git a/results/test/parabola/problem_0249.png b/results/test/parabola/problem_0249.png
new file mode 100644
index 0000000000000000000000000000000000000000..9653e6a02b5d78f36ab6fe831659269b9ae22124
--- /dev/null
+++ b/results/test/parabola/problem_0249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f92068f2f6e4f374f8b191b3c13ae3011477ce401868522a3cdd2b25cf14e1b9
+size 192099
diff --git a/results/test/parabola/problem_0252.png b/results/test/parabola/problem_0252.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d9490be852427aa64b977d71fbad3b5a176b5df
--- /dev/null
+++ b/results/test/parabola/problem_0252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e544405cd44d89fb080609e720ac75b33f583aa1935e45fcbab91bf9a7e1560
+size 188488
diff --git a/results/test/parabola/problem_0254.png b/results/test/parabola/problem_0254.png
new file mode 100644
index 0000000000000000000000000000000000000000..0549a411b6eb17ff2320aeca35ef9b69cfb9ca31
--- /dev/null
+++ b/results/test/parabola/problem_0254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77c6d4c9a318a159f8a7b212e449f7da0f1370ab799e03cc339317864a70bc94
+size 201448
diff --git a/results/test/parabola/problem_0255.png b/results/test/parabola/problem_0255.png
new file mode 100644
index 0000000000000000000000000000000000000000..05702b061a427e9e5bc34773f2d75e1a0b9d1d40
--- /dev/null
+++ b/results/test/parabola/problem_0255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:382842d0f52ca3080ba54866f0caaf3f7bc87f7a39d3766f747f7acb181b9d43
+size 192113
diff --git a/results/test/parabola/problem_0258.png b/results/test/parabola/problem_0258.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bb93ebc64421efdeef37f3911a6e2c59dfd5637
--- /dev/null
+++ b/results/test/parabola/problem_0258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e43efa018bf0ce0c3f4b032585570d5d0389fe5f2bc984b974f632a7fb857f70
+size 189589
diff --git a/results/test/parabola/problem_0259.png b/results/test/parabola/problem_0259.png
new file mode 100644
index 0000000000000000000000000000000000000000..04286d1f62f280da91c83d098d671b88984036a7
--- /dev/null
+++ b/results/test/parabola/problem_0259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cab9333bebff42a518613cf73092b1802631c3544ead53ff33c2c35965e1b632
+size 194586
diff --git a/results/test/parabola/problem_0261.png b/results/test/parabola/problem_0261.png
new file mode 100644
index 0000000000000000000000000000000000000000..76aa29deb1830615077df4b52da0c6303b811320
--- /dev/null
+++ b/results/test/parabola/problem_0261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6939f62a52cc352b2d83a2cbce35cdc1edf5e0e536e81c3750f64be55e02f180
+size 205220
diff --git a/results/test/parabola/problem_0262.png b/results/test/parabola/problem_0262.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc6cfab07455ecddfe4a9d2f38f2d409371c1fc9
--- /dev/null
+++ b/results/test/parabola/problem_0262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7854efd1330c56a228e851271172be385d6df9a8f668c594982db03d9ef7748
+size 190659
diff --git a/results/test/parabola/problem_0269.png b/results/test/parabola/problem_0269.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7310ffc0b751d438176dc13ac18fa74a8ee703e
--- /dev/null
+++ b/results/test/parabola/problem_0269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3832af41230ca88bc385312fcd5811483af6b462c2e3f03137eee86d94a063d
+size 189247
diff --git a/results/test/parabola/problem_0271.png b/results/test/parabola/problem_0271.png
new file mode 100644
index 0000000000000000000000000000000000000000..3aea00cc32a98dca7715b3910dc5876039739e6b
--- /dev/null
+++ b/results/test/parabola/problem_0271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6a02fadc872d66c1ff049325ea005c4cacedf4e3ef3bbbc0f48c8389188fee2
+size 165298
diff --git a/results/test/parabola/problem_0275.png b/results/test/parabola/problem_0275.png
new file mode 100644
index 0000000000000000000000000000000000000000..78f702220d59441d680c482ce59b78da9899db7d
--- /dev/null
+++ b/results/test/parabola/problem_0275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5470beed5787e02b40d35fc6ef3fc21e4194072c2a67d38b280427a1e9ea6db2
+size 200974
diff --git a/results/test/parabola/problem_0276.png b/results/test/parabola/problem_0276.png
new file mode 100644
index 0000000000000000000000000000000000000000..11aecd07663fa7a77e3aa0c532437e56aa55b91b
--- /dev/null
+++ b/results/test/parabola/problem_0276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e014d29d11d6187ab9ab645d727365a30ee58c6e4dad824c99b3588bd167a47e
+size 187841
diff --git a/results/test/parabola/problem_0284.png b/results/test/parabola/problem_0284.png
new file mode 100644
index 0000000000000000000000000000000000000000..9570b1509a805521af2607a645df088bcb1f7a7d
--- /dev/null
+++ b/results/test/parabola/problem_0284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdc040c2f59f56683b29249f8e14ebcfe681853de2768e04f44b0aff3311965b
+size 195058
diff --git a/results/test/parabola/problem_0287.png b/results/test/parabola/problem_0287.png
new file mode 100644
index 0000000000000000000000000000000000000000..fadc77694761bb0146af4b8e67c821d204bf6071
--- /dev/null
+++ b/results/test/parabola/problem_0287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3907fed9e39e7aa4fbf7c4359cdca48dfe777a9f86399572d02b598883e8c4a1
+size 196032
diff --git a/results/test/parabola/problem_0297.png b/results/test/parabola/problem_0297.png
new file mode 100644
index 0000000000000000000000000000000000000000..c65e8ec14689a121c7c36a1559a27bf8b5e51726
--- /dev/null
+++ b/results/test/parabola/problem_0297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2398361098ca9045b27155ce2e4a27e3f660b20a5ef29def4509bec69a42510
+size 208989
diff --git a/results/test/parabola/problem_0308.png b/results/test/parabola/problem_0308.png
new file mode 100644
index 0000000000000000000000000000000000000000..a85e428c38741d279eb6f63f402fd5a933ae8cf3
--- /dev/null
+++ b/results/test/parabola/problem_0308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49db4971c56e62521c167cd6f0709befbbfca751c4a08b045d04f5fececa7268
+size 186148
diff --git a/results/test/parabola/problem_0312.png b/results/test/parabola/problem_0312.png
new file mode 100644
index 0000000000000000000000000000000000000000..238d4f4df3e9f6aa009a8d1839fc183c254b559c
--- /dev/null
+++ b/results/test/parabola/problem_0312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52cd5e589cc337a68ad9c3061b8e1f6fc54b93ca3a63ff73539fdded34501862
+size 189987
diff --git a/results/test/parabola/problem_0314.png b/results/test/parabola/problem_0314.png
new file mode 100644
index 0000000000000000000000000000000000000000..315017940e4e5e511b3f6022bb38d9db89e1eade
--- /dev/null
+++ b/results/test/parabola/problem_0314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1add69a34eb210a9a96df52ae4337f88efb1e0ec7e117ad02acc5d361005459e
+size 195059
diff --git a/results/test/parabola/problem_0317.png b/results/test/parabola/problem_0317.png
new file mode 100644
index 0000000000000000000000000000000000000000..42dd7a0ae2eee9a4d76e107af144a575449bafcf
--- /dev/null
+++ b/results/test/parabola/problem_0317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a356af113cfe238dc3a8f5f8b5acbda19a3ca71921e3839c22e0bf304f96769b
+size 189122
diff --git a/results/test/parabola/problem_0319.png b/results/test/parabola/problem_0319.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd2fe0b641b1c3086e39c8f6fefde8d8ed2a9edc
--- /dev/null
+++ b/results/test/parabola/problem_0319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:920d0b0d6539d4d31f11a7e4ec3ca55b1865773ff132303bda71007a1700969e
+size 192648
diff --git a/results/test/parabola/problem_0321.png b/results/test/parabola/problem_0321.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb0953760baabd694e7a45f00e4cd651041e6908
--- /dev/null
+++ b/results/test/parabola/problem_0321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b71fd21d9aa5424a4a3d564d05204156a8e0c42b2825716ece374cf77ed71362
+size 183527
diff --git a/results/test/parabola/problem_0325.png b/results/test/parabola/problem_0325.png
new file mode 100644
index 0000000000000000000000000000000000000000..9de93677edfeb71204daeec25afc77249e7144b9
--- /dev/null
+++ b/results/test/parabola/problem_0325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee16b1d039b6a7ac23e6e4949afbc8b1dbe7080f19669546a7d6dabf2a132406
+size 188352
diff --git a/results/test/parabola/problem_0327.png b/results/test/parabola/problem_0327.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f3364e276e9e1bb73d1f2191ebbe092a0c9103f
--- /dev/null
+++ b/results/test/parabola/problem_0327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d95cb07f8d4f166ce657a7c3eb722ad25363310d0764928e312db6ef53c71b4
+size 185371
diff --git a/results/test/parabola/problem_0344.png b/results/test/parabola/problem_0344.png
new file mode 100644
index 0000000000000000000000000000000000000000..805ced8e1405ddd491bf1d8b481abed670c541d8
--- /dev/null
+++ b/results/test/parabola/problem_0344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1737ff0da8de3e3197cf6d52493d23f2747043a239171b47cb7ce3d74fde598
+size 195232
diff --git a/results/test/parabola/problem_0345.png b/results/test/parabola/problem_0345.png
new file mode 100644
index 0000000000000000000000000000000000000000..98ada1f436246b60632f6cf5d8397f695f5ee3bd
--- /dev/null
+++ b/results/test/parabola/problem_0345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9122ba54ac489a3cccd0cec11020a22c318096e6f131344caa79400811d635a
+size 182725
diff --git a/results/test/parabola/problem_0346.png b/results/test/parabola/problem_0346.png
new file mode 100644
index 0000000000000000000000000000000000000000..5166e6e1497d28e72d7596822b898957766f95ee
--- /dev/null
+++ b/results/test/parabola/problem_0346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50f7a6989f01c1f381812019e5946459cd4a0031c87b5d0faeaa4688e4726ec3
+size 207312
diff --git a/results/test/parabola/problem_0352.png b/results/test/parabola/problem_0352.png
new file mode 100644
index 0000000000000000000000000000000000000000..3772163942f07bdb03864968a40b9655f1b6065c
--- /dev/null
+++ b/results/test/parabola/problem_0352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:058b85758c92e6187d63789cd986b3842e5af19e3dfc4e3f12661a55e4141ae0
+size 166479
diff --git a/results/test/parabola/problem_0355.png b/results/test/parabola/problem_0355.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6495fdce3a788be891a809d2d6b8e04a6c77ec0
--- /dev/null
+++ b/results/test/parabola/problem_0355.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61130c494a1836ea16964fc05a6b9ce1d12afbdea39bebdf4e1b3c629aeffee6
+size 182827
diff --git a/results/test/parabola/problem_0356.png b/results/test/parabola/problem_0356.png
new file mode 100644
index 0000000000000000000000000000000000000000..18bce83db1b297b6f94092b237fc02977ade7026
--- /dev/null
+++ b/results/test/parabola/problem_0356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:134d9141c32567821fa25979821a8e0ea9537537b2d26fb1121e23652d9864a9
+size 188323
diff --git a/results/test/parabola/problem_0358.png b/results/test/parabola/problem_0358.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ee66f28de87e8f23b8952f9be24c4232ff524e0
--- /dev/null
+++ b/results/test/parabola/problem_0358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30297bbb17d5e0b0a9aff50ce74a03638b1ed8d38d3da4279aa56a4d75ebd4a9
+size 203305
diff --git a/results/test/parabola/problem_0362.png b/results/test/parabola/problem_0362.png
new file mode 100644
index 0000000000000000000000000000000000000000..51c9581e579cff5210f72ebb4cc678e37a9bebd5
--- /dev/null
+++ b/results/test/parabola/problem_0362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23dbeefafa4dada52ea5a5fb382d13ea124be310c6bccc0e1e9fdda29783b63a
+size 184227
diff --git a/results/test/parabola/problem_0365.png b/results/test/parabola/problem_0365.png
new file mode 100644
index 0000000000000000000000000000000000000000..73ae133aff20cfb092830e1993ca6ce37163e1e0
--- /dev/null
+++ b/results/test/parabola/problem_0365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59c07e7d50adbd8dd1d61f22bfa45037f4cad060b5fed0f6831e331d9be57768
+size 192609
diff --git a/results/test/parabola/problem_0366.png b/results/test/parabola/problem_0366.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a818fc7ac467205ca08061af94de7d32a8e73ba
--- /dev/null
+++ b/results/test/parabola/problem_0366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e3b2f4a3966764e7f0bcd055aa9d91ec1dfbdfa12f73cbdac0b3042d3c1ea24
+size 185902
diff --git a/results/test/parabola/problem_0369.png b/results/test/parabola/problem_0369.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dfa60ffd817328e39a320391ab1b88d5c6677ac
--- /dev/null
+++ b/results/test/parabola/problem_0369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46f12eaca8486a0394c625a6c400590fa1431e61cf2c2c9695fb69ebe8aa9455
+size 197055
diff --git a/results/test/parabola/problem_0371.png b/results/test/parabola/problem_0371.png
new file mode 100644
index 0000000000000000000000000000000000000000..c90ecd028077fd4441adf8edbf377b5365ff7388
--- /dev/null
+++ b/results/test/parabola/problem_0371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:541dbc9708e39c9779d1bcc8b340bb05df612d0ddc6d5171a1d973e7ddd3c19b
+size 191252
diff --git a/results/test/parabola/problem_0375.png b/results/test/parabola/problem_0375.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6efa3498168059ee9dc0c754ba4fcf6cd97ad83
--- /dev/null
+++ b/results/test/parabola/problem_0375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36f11ba92f320089eaf9ce84b73eab0e675b2023c0cbba3d86c598111e2f7087
+size 197018
diff --git a/results/test/parabola/problem_0377.png b/results/test/parabola/problem_0377.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b7f252805f0c327a7d5780b994e6ebe737e68dc
--- /dev/null
+++ b/results/test/parabola/problem_0377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e7b8392471aa01ee18c6c9cd45de4f95248a28843b2fa9054d85ebccdb309c0
+size 184939
diff --git a/results/test/parabola/problem_0382.png b/results/test/parabola/problem_0382.png
new file mode 100644
index 0000000000000000000000000000000000000000..0876321cb764206874dff9fb913a49f8e49fd242
--- /dev/null
+++ b/results/test/parabola/problem_0382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30a06e1eca23b5286625ac04e1461ca2b30466f0429608d9d77114d186799423
+size 201396
diff --git a/results/test/parabola/problem_0383.png b/results/test/parabola/problem_0383.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fdc3a11a157aec81c5485ed05ec43434405c273
--- /dev/null
+++ b/results/test/parabola/problem_0383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4eb6e10ddc5fade3be4433a4d040db9b0924e8bacfc8ec8c14c94d57951d68ce
+size 206618
diff --git a/results/test/parabola/problem_0390.png b/results/test/parabola/problem_0390.png
new file mode 100644
index 0000000000000000000000000000000000000000..2674c27df0531db67a5b712c84b998277d7ae7fd
--- /dev/null
+++ b/results/test/parabola/problem_0390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f087ee78b2b57cf1dca595016bbf61da6e8ed3e2cbe6f4ace24324f729e7394
+size 194247
diff --git a/results/test/parabola/problem_0391.png b/results/test/parabola/problem_0391.png
new file mode 100644
index 0000000000000000000000000000000000000000..c993bde4cc8f4eb509809f55d4374c81cf81478e
--- /dev/null
+++ b/results/test/parabola/problem_0391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19be598ea37778e93a358276acee5cce478a7869ebe37f26ff1af1241cee45b8
+size 187196
diff --git a/results/test/parabola/problem_0395.png b/results/test/parabola/problem_0395.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d97c5e8cdb100dbe2f28ffa6f30449d552c0881
--- /dev/null
+++ b/results/test/parabola/problem_0395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93902c70db4f843982f430067fffd2c3d88c97eecf5c46d12a6c9d188535a541
+size 198135
diff --git a/results/test/parabola/problem_0397.png b/results/test/parabola/problem_0397.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ba461572a9dee0add7e769f77415d869350d6c3
--- /dev/null
+++ b/results/test/parabola/problem_0397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8d62734c334be4a8f6583d96027941f28048ef19633dd0d782b45a068a9ef1a
+size 185997
diff --git a/results/test/parabola/problem_0402.png b/results/test/parabola/problem_0402.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c38ac291f2fa97fc10fcd0c8c0ed65b55d5fffa
--- /dev/null
+++ b/results/test/parabola/problem_0402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:270548bf4f314737ee2d79d2b3ef9c31f177a395fb985085046bf076aa114de3
+size 195342
diff --git a/results/test/parabola/problem_0409.png b/results/test/parabola/problem_0409.png
new file mode 100644
index 0000000000000000000000000000000000000000..11780acf5b25618f47cd2a1f35880bc2ffdce867
--- /dev/null
+++ b/results/test/parabola/problem_0409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba9d625181778d53ca5307542e1b38bcd776f751f69cc378a9e3e67d12cd9c6d
+size 203506
diff --git a/results/test/parabola/problem_0413.png b/results/test/parabola/problem_0413.png
new file mode 100644
index 0000000000000000000000000000000000000000..e42f66647cdce514372295baa61f3a2d9600c0c8
--- /dev/null
+++ b/results/test/parabola/problem_0413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47a2de2eb2bd277e53d41cf15076f25a77c1f7cd1d89adf1449adae1a4d02da5
+size 176625
diff --git a/results/test/parabola/problem_0416.png b/results/test/parabola/problem_0416.png
new file mode 100644
index 0000000000000000000000000000000000000000..b51e04fcce00618a0a43d138b44a3f25f36fddc5
--- /dev/null
+++ b/results/test/parabola/problem_0416.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c6dccb57c44ad51b8ee6a5913b903903b4f4411b63d03fe46d180e7814c3ed7
+size 192081
diff --git a/results/test/parabola/problem_0418.png b/results/test/parabola/problem_0418.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f949f69a5ce91cf254d6e28f7cf2671952b073e
--- /dev/null
+++ b/results/test/parabola/problem_0418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ccbc26f8da3941b71702459b91ba60a2bd3d1c6842f910820200788d01554fe
+size 202499
diff --git a/results/test/parabola/problem_0420.png b/results/test/parabola/problem_0420.png
new file mode 100644
index 0000000000000000000000000000000000000000..6af9933c7121cfeef53b9c8c0fdbe4b9ecbb672f
--- /dev/null
+++ b/results/test/parabola/problem_0420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47d1ad5575b41645b2db8a376a45b9b379edef7f2f549f84ccf7c501053bc233
+size 190678
diff --git a/results/test/parabola/problem_0422.png b/results/test/parabola/problem_0422.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f51166e9303674b9c07ab5adf92eeb5293f2213
--- /dev/null
+++ b/results/test/parabola/problem_0422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2a455d5ea95c3d9f88f2aeda87045574e9fa0667451bb08bf250521f317df09
+size 191193
diff --git a/results/test/parabola/problem_0438.png b/results/test/parabola/problem_0438.png
new file mode 100644
index 0000000000000000000000000000000000000000..991d53b778b11e926bc5487f355be0ca3cd34b6e
--- /dev/null
+++ b/results/test/parabola/problem_0438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b84b376742616591825f5d4fd4bd10b827342fa2119f3249f952cd81e32e89b6
+size 190707
diff --git a/results/test/parabola/problem_0444.png b/results/test/parabola/problem_0444.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bd4c54af8825b601a089cb4955cf4114e038cc9
--- /dev/null
+++ b/results/test/parabola/problem_0444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4f5e3ee79a88ec26f4324db34cd87220f7afe934492dc75d83d27739e49a076
+size 194137
diff --git a/results/test/parabola/problem_0446.png b/results/test/parabola/problem_0446.png
new file mode 100644
index 0000000000000000000000000000000000000000..c72ddfafc812a10e56ef9ccd4b567633b784319b
--- /dev/null
+++ b/results/test/parabola/problem_0446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ed74e7ce98e6abe9a8e1cf4346622c81d1c56187838864275f1e02340f27820
+size 199605
diff --git a/results/test/parabola/problem_0447.png b/results/test/parabola/problem_0447.png
new file mode 100644
index 0000000000000000000000000000000000000000..c662f237dd2d752e407765b020e707e0dbe6b236
--- /dev/null
+++ b/results/test/parabola/problem_0447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cadf20e9a19f20de2371f377003c279e54538ec96b7fdc312115ae4b15be7c04
+size 177997
diff --git a/results/test/parabola/problem_0455.png b/results/test/parabola/problem_0455.png
new file mode 100644
index 0000000000000000000000000000000000000000..07cfc816658bcd9c612facfa042ebffe8e6cad38
--- /dev/null
+++ b/results/test/parabola/problem_0455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc8e8dd73f829df1c2ba4ef926afb8791194fd2edac44a11b0da6a255943e71f
+size 193108
diff --git a/results/test/parabola/problem_0456.png b/results/test/parabola/problem_0456.png
new file mode 100644
index 0000000000000000000000000000000000000000..69cba4105fb77f573e62888b8a94a93e8c85de4e
--- /dev/null
+++ b/results/test/parabola/problem_0456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12e4a9b6d7b935a08a2c031ee06f5e65dd710e67078e03f47a58906ea24115cf
+size 187941
diff --git a/results/test/parabola/problem_0459.png b/results/test/parabola/problem_0459.png
new file mode 100644
index 0000000000000000000000000000000000000000..85a5492e8ab1c005ba66800111bfda05d57b7ba1
--- /dev/null
+++ b/results/test/parabola/problem_0459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1de1e95d8327d6ea451554c1c74b0459e35092724d0d6fb35c8200a1bc3cf1cf
+size 193754
diff --git a/results/test/parabola/problem_0466.png b/results/test/parabola/problem_0466.png
new file mode 100644
index 0000000000000000000000000000000000000000..636dc73689c7907ccd36408d3be781635dd5c676
--- /dev/null
+++ b/results/test/parabola/problem_0466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9173049470cbdc1b3f261240c72a1ca1aa458e7397d2702d999c91c5c05de1fe
+size 208280
diff --git a/results/test/parabola/problem_0470.png b/results/test/parabola/problem_0470.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9318a61780132d94b7918701308f751aca55ffc
--- /dev/null
+++ b/results/test/parabola/problem_0470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af2e0b8ec91ee0bad83c4859ea6b26e105b30a256246d7f635a4baaa226b7e6a
+size 178326
diff --git a/results/test/parabola/problem_0471.png b/results/test/parabola/problem_0471.png
new file mode 100644
index 0000000000000000000000000000000000000000..c44d9789cb9a59231140c26bad538480ad833f56
--- /dev/null
+++ b/results/test/parabola/problem_0471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3c3789291682e40a684c2609265ff89854c3fac7efe61460b8f9bcba6e5e606
+size 188938
diff --git a/results/test/parabola/problem_0472.png b/results/test/parabola/problem_0472.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5c48552f40974b038c20f343af2008f53334bc3
--- /dev/null
+++ b/results/test/parabola/problem_0472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:034cdbf4bb402c437ecc40f630f934f65d189abf01df33d8dafab04bb21bad33
+size 181527
diff --git a/results/test/parabola/problem_0476.png b/results/test/parabola/problem_0476.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d6717c74b50089b330811f101e6ff6a517a7681
--- /dev/null
+++ b/results/test/parabola/problem_0476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9be7fe2da9b360b756275dff45c499b849008f370a03ce53233039c44150f396
+size 157674
diff --git a/results/test/parabola/problem_0482.png b/results/test/parabola/problem_0482.png
new file mode 100644
index 0000000000000000000000000000000000000000..32d2e5a8766cc10cd4ad81841549f1c5aec8fa89
--- /dev/null
+++ b/results/test/parabola/problem_0482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:041e82a3511afff559813369d9def0f99d122d829133c1c6068ae526e4b1111c
+size 185188
diff --git a/results/test/parabola/problem_0483.png b/results/test/parabola/problem_0483.png
new file mode 100644
index 0000000000000000000000000000000000000000..07eb5add2a9a5bc285fdd7a4a7d320a9cb874bd1
--- /dev/null
+++ b/results/test/parabola/problem_0483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35155cc02aa1a2cf23dbbe34ee9a3f340e6fa1ef2220d65de5bb5ee5cdc7e37e
+size 196734
diff --git a/results/test/parabola/problem_0487.png b/results/test/parabola/problem_0487.png
new file mode 100644
index 0000000000000000000000000000000000000000..f75cf99a5dbfa50b8eeaeb26f1052b5f4adfd41a
--- /dev/null
+++ b/results/test/parabola/problem_0487.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53cb787229dfee00331d5f9c8d56b591ff83a6f1182489839278cbd2db36a75c
+size 192819
diff --git a/results/test/parabola/problem_0488.png b/results/test/parabola/problem_0488.png
new file mode 100644
index 0000000000000000000000000000000000000000..178833654cb05b85d2de9edb3322840c3cc36a8e
--- /dev/null
+++ b/results/test/parabola/problem_0488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a3d6f2d8a242da0705b184946eaf36ce2482a84dfde626c5beda56e25e9a6b9
+size 177161
diff --git a/results/test/parabola/problem_0494.png b/results/test/parabola/problem_0494.png
new file mode 100644
index 0000000000000000000000000000000000000000..2aa980c29253a1878d3d2437f79fcc5e3cb35e05
--- /dev/null
+++ b/results/test/parabola/problem_0494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6be72402d0d8597d360b530fef9d0e5bfb69b24da00f55dc76741b4ea74760fb
+size 189645
diff --git a/results/test/parabola/problem_0501.png b/results/test/parabola/problem_0501.png
new file mode 100644
index 0000000000000000000000000000000000000000..a54f0277c5169de5e876c3436535bb8f75263e59
--- /dev/null
+++ b/results/test/parabola/problem_0501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b3a1e4fbeb92fd0e978271e3dbd9e0809d43c964592d58fd18fad8f43c59559
+size 187207
diff --git a/results/test/parabola/problem_0505.png b/results/test/parabola/problem_0505.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9b1942e919af4142a412253d1603e73395a16ed
--- /dev/null
+++ b/results/test/parabola/problem_0505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:358ea9448f6d191827cf94b8842cddec75096a77a9f77a5057865627a4478064
+size 193495
diff --git a/results/test/parabola/problem_0508.png b/results/test/parabola/problem_0508.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e5e739fd86c170851056423ed0b3afa202ccf16
--- /dev/null
+++ b/results/test/parabola/problem_0508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8807a00e435b9bad9e150833d55eeec9ed85dde5dc1092bd6b8c0089cd588762
+size 191947
diff --git a/results/test/parabola/problem_0510.png b/results/test/parabola/problem_0510.png
new file mode 100644
index 0000000000000000000000000000000000000000..217b8a632e1d0caeee6eb31c0d730d2af73bf658
--- /dev/null
+++ b/results/test/parabola/problem_0510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7e5897a532fb15f798f1fb5c0cd81a3c69b2876f9b36bc5aa7d4a36442555ae
+size 198851
diff --git a/results/test/parabola/problem_0512.png b/results/test/parabola/problem_0512.png
new file mode 100644
index 0000000000000000000000000000000000000000..df2f086fe405fddc43d5df817bf920dc547c9e39
--- /dev/null
+++ b/results/test/parabola/problem_0512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3bf31a290eb7508681fd53900f7e72fade1ee253e570fd28be01b604eee4f5f
+size 187458
diff --git a/results/test/parabola/problem_0515.png b/results/test/parabola/problem_0515.png
new file mode 100644
index 0000000000000000000000000000000000000000..80c0a970179d3fc22682bb2f31b872e421b8f431
--- /dev/null
+++ b/results/test/parabola/problem_0515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8057ebc2097a10a8e14127c7f0e704b809b49ba6f8977b733a67e59521f2876a
+size 191217
diff --git a/results/test/parabola/problem_0521.png b/results/test/parabola/problem_0521.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8759cbe3d94d97fe4b96ba19abf1339876e9e29
--- /dev/null
+++ b/results/test/parabola/problem_0521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ca026aa713f857fc3345194ed360d9d7acf5418f8750bb1b05652d35e565c4d
+size 180594
diff --git a/results/test/parabola/problem_0522.png b/results/test/parabola/problem_0522.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd2830e2a158d2a374eaf6263e00ce83c84b435b
--- /dev/null
+++ b/results/test/parabola/problem_0522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f8d8f7afdef79d75bcc2faf3bb6cab1273d8de1ed1fe5642f6b51b441f4935d
+size 204532
diff --git a/results/test/parabola/problem_0524.png b/results/test/parabola/problem_0524.png
new file mode 100644
index 0000000000000000000000000000000000000000..84e74ebd72ca99d42179a304dc0a675bb4189488
--- /dev/null
+++ b/results/test/parabola/problem_0524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a981f7deeba0aa423d77f799f80c230b404a05039931dbbabad26768e6fd1592
+size 201538
diff --git a/results/test/parabola/problem_0526.png b/results/test/parabola/problem_0526.png
new file mode 100644
index 0000000000000000000000000000000000000000..c602f37b7f1af1b4a1bacdd39a708576dc35dbec
--- /dev/null
+++ b/results/test/parabola/problem_0526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95ee563dd0671981a35c910af92610ac1efd7dc095b57e7499bb44ee5b63a725
+size 190961
diff --git a/results/test/parabola/problem_0528.png b/results/test/parabola/problem_0528.png
new file mode 100644
index 0000000000000000000000000000000000000000..e85f2ba808e998f5aecc28607ca382d1f52f2db2
--- /dev/null
+++ b/results/test/parabola/problem_0528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91019ef48d8bf74e422373fae761f3726f653bc7067dd5118ad480dc690a283d
+size 190161
diff --git a/results/test/parabola/problem_0530.png b/results/test/parabola/problem_0530.png
new file mode 100644
index 0000000000000000000000000000000000000000..72aac99460349bc3dcc43a81ce9689b0c3f96bbc
--- /dev/null
+++ b/results/test/parabola/problem_0530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0248173ed3122e636c49cd73f8dc37e9e20563426d5bb24e8ce431ab97dbdea
+size 188060
diff --git a/results/test/parabola/problem_0531.png b/results/test/parabola/problem_0531.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0fa63aba1e571f46a5cfcd22a5504607f8692e7
--- /dev/null
+++ b/results/test/parabola/problem_0531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97e037d19308491553d8a2e35b83b62241a7d0a35c1187623f0753466e9cbed9
+size 190156
diff --git a/results/test/parabola/problem_0546.png b/results/test/parabola/problem_0546.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e70079f856839eab24130523780beda017a9718
--- /dev/null
+++ b/results/test/parabola/problem_0546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:587889ac16cae27abb1c43100ad4de1bbfefa4f67b5b2459bf2662b59f91872d
+size 182018
diff --git a/results/test/parabola/problem_0552.png b/results/test/parabola/problem_0552.png
new file mode 100644
index 0000000000000000000000000000000000000000..1161f1113265af79b5602640cb1e877c223202d9
--- /dev/null
+++ b/results/test/parabola/problem_0552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5297313f56546b7c0db386d4dbaec064703fb4cdcfd313ad44eed570070a2594
+size 188981
diff --git a/results/test/parabola/problem_0553.png b/results/test/parabola/problem_0553.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed2850fc14985bfc99fa4b3eeaac20f2ce8a317e
--- /dev/null
+++ b/results/test/parabola/problem_0553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d8b79cf423c313b4c81c6752cad52e933153e65e9639db6b79fd9df37fba5ef
+size 191259
diff --git a/results/test/parabola/problem_0557.png b/results/test/parabola/problem_0557.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c802263837d2d3812bfa23f874c59833b2d95bb
--- /dev/null
+++ b/results/test/parabola/problem_0557.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:092a3351891be82de112c43c00b20e93108aba7be9e0db5c9a195425085b371c
+size 185847
diff --git a/results/test/parabola/problem_0571.png b/results/test/parabola/problem_0571.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f2bb134090db2d448be3e35d7d4b1cef4c5c5b2
--- /dev/null
+++ b/results/test/parabola/problem_0571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88093189bcbb3d078772fc6a2058cb0092831f11d3337bdf8e223d6284009912
+size 190358
diff --git a/results/test/parabola/problem_0580.png b/results/test/parabola/problem_0580.png
new file mode 100644
index 0000000000000000000000000000000000000000..8138380b163bc4905a02889855014fdbab06b4a8
--- /dev/null
+++ b/results/test/parabola/problem_0580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f5f42a7c9405c7356c2426418ad09138e45013d1b3fcb42265b9eb4082d8828
+size 193471
diff --git a/results/test/parabola/problem_0581.png b/results/test/parabola/problem_0581.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c397159643f5b3a646276345507332527f637cd
--- /dev/null
+++ b/results/test/parabola/problem_0581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ade5b002aeca39ab0ce0dc1bebc4ec9e03ebbfdb9b863d95f68143e54917f8fc
+size 197497
diff --git a/results/test/parabola/problem_0582.png b/results/test/parabola/problem_0582.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cb4a3dc0245786ca654ff953b98bbafa1a40fc6
--- /dev/null
+++ b/results/test/parabola/problem_0582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:342ade8cffc4d57066955ef2a4b0707251402bdf0f3db3855b202ae29037e605
+size 190475
diff --git a/results/test/parabola/problem_0583.png b/results/test/parabola/problem_0583.png
new file mode 100644
index 0000000000000000000000000000000000000000..30c443fefa3ae9eb4d3130dc35366e996dc67d06
--- /dev/null
+++ b/results/test/parabola/problem_0583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1574a4548eb9acb8c57a3b6e68e18741c5f7dbcd516bb1806e00e72544d23b15
+size 153295
diff --git a/results/test/parabola/problem_0586.png b/results/test/parabola/problem_0586.png
new file mode 100644
index 0000000000000000000000000000000000000000..12665121e5c9999a53f1f36e68423c4dc529e78f
--- /dev/null
+++ b/results/test/parabola/problem_0586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40fc9c173a0d93a0372aeeea4c54806c5a0fc16258bf657d1d4947cfe14e581f
+size 151292
diff --git a/results/test/parabola/problem_0587.png b/results/test/parabola/problem_0587.png
new file mode 100644
index 0000000000000000000000000000000000000000..99415cc87c5ec8909ecd7ad4c07046eafad5138a
--- /dev/null
+++ b/results/test/parabola/problem_0587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bb6b7bbf9b8ec744245af637b97b42adbf7b45e6b09c93592a701ca8a1d4bb9
+size 181167
diff --git a/results/test/parabola/problem_0588.png b/results/test/parabola/problem_0588.png
new file mode 100644
index 0000000000000000000000000000000000000000..747e00e1aff936c4471a2df53e3da56a03754410
--- /dev/null
+++ b/results/test/parabola/problem_0588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e8dd0cff71f538bdf44dfa093dd4a668d53ed29df279ad44472789f1cd001cf
+size 186979
diff --git a/results/test/parabola/problem_0595.png b/results/test/parabola/problem_0595.png
new file mode 100644
index 0000000000000000000000000000000000000000..42493358587dc40323dffafe0abe1f021f5a27a0
--- /dev/null
+++ b/results/test/parabola/problem_0595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2303b04f635c02595f9e8d0423784cf9c9b24d89eecd0f70205ab68c94ce4d10
+size 182639
diff --git a/results/test/parabola/problem_0596.png b/results/test/parabola/problem_0596.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dad3c0e99effadb161757851e3abca965f60b8f
--- /dev/null
+++ b/results/test/parabola/problem_0596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:739a440f15bf2cbe9b15014c454851c2df7545d2574cc012c2dc7a62ab7cfbfb
+size 198949
diff --git a/results/test/parabola/problem_0598.png b/results/test/parabola/problem_0598.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d64efe7a6c5964ac505e5fa32b6a5d0a110ecf3
--- /dev/null
+++ b/results/test/parabola/problem_0598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ad3c6a657bf78dfc57f930de0593628b5e944abf347dd822b2fd51465707468
+size 182648
diff --git a/results/test/parabola/problem_0600.png b/results/test/parabola/problem_0600.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a13fb82193c6c6f8d64bb75335f76549044adea
--- /dev/null
+++ b/results/test/parabola/problem_0600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef7b809e1fae0ed46918859f9efd9f8ca0e16557aaeca113cda454d0f312be60
+size 189549
diff --git a/results/test/parabola/problem_0606.png b/results/test/parabola/problem_0606.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c53da7eadd193f986f4e8a77be60f0ea8dd5b07
--- /dev/null
+++ b/results/test/parabola/problem_0606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3129bc144dc08cf3c060dfafcff7944df569fd5ca0a5a7def12ddec888ca247
+size 170981
diff --git a/results/test/parabola/problem_0615.png b/results/test/parabola/problem_0615.png
new file mode 100644
index 0000000000000000000000000000000000000000..3287d283ea231e2d553e3c2c03b79171acf8471e
--- /dev/null
+++ b/results/test/parabola/problem_0615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04c31d6342f8d4f5bb7b50fc4e729cfb3577691641abee09d8119e369bd8924c
+size 181508
diff --git a/results/test/parabola/problem_0619.png b/results/test/parabola/problem_0619.png
new file mode 100644
index 0000000000000000000000000000000000000000..23323e7cafc81d5c5b80bbcf5f8ec701751b1e4f
--- /dev/null
+++ b/results/test/parabola/problem_0619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7610f0ae6e15928b43e972a38472bea6d49894f1c41db72136ed65360e871a45
+size 196080
diff --git a/results/test/parabola/problem_0621.png b/results/test/parabola/problem_0621.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b62cd7cfa55b00b6d374194835e2515e7623964
--- /dev/null
+++ b/results/test/parabola/problem_0621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8afa8b8ec0036201c678bfe0b2f0d3de7f85fc812e8f4fb181b2e03fba44fc7d
+size 184094
diff --git a/results/test/parabola/problem_0623.png b/results/test/parabola/problem_0623.png
new file mode 100644
index 0000000000000000000000000000000000000000..7258137198377ce2b49c9d5a8d4e513d2bed03be
--- /dev/null
+++ b/results/test/parabola/problem_0623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da1707df814f9d6b23351f12180418f50d0c61161151b0748d8063aa3a15554e
+size 187798
diff --git a/results/test/parabola/problem_0625.png b/results/test/parabola/problem_0625.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5e0558ad41213056f8d45084c66ff19f4469d90
--- /dev/null
+++ b/results/test/parabola/problem_0625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0b4daef56d8bd848be07bcdf6ad972478076856fa6206f15432c9da9a5ce642
+size 186127
diff --git a/results/test/parabola/problem_0631.png b/results/test/parabola/problem_0631.png
new file mode 100644
index 0000000000000000000000000000000000000000..e152b038c8f2ebc6a6b2b71e28565f5cd9ec8f6c
--- /dev/null
+++ b/results/test/parabola/problem_0631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2ae16672e8e48e998a78517e823ffc5c06618f09eba619c45331e2693fdf17f
+size 203000
diff --git a/results/test/parabola/problem_0632.png b/results/test/parabola/problem_0632.png
new file mode 100644
index 0000000000000000000000000000000000000000..14ae877b52b6b29714777affe1d9f0e32b5220eb
--- /dev/null
+++ b/results/test/parabola/problem_0632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0c7349918bb9467dc9039db2ae46a555e5dd7bf595f618f5f09e50f0247e857
+size 192437
diff --git a/results/test/parabola/problem_0633.png b/results/test/parabola/problem_0633.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4c8ed949c4264e39680d0891e935f817207c3a8
--- /dev/null
+++ b/results/test/parabola/problem_0633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93662ab7239362e72a3db1f2818d2bd781324af67ae3df820096d5952d948785
+size 189097
diff --git a/results/test/parabola/problem_0637.png b/results/test/parabola/problem_0637.png
new file mode 100644
index 0000000000000000000000000000000000000000..59f0520516864a976bb3ca498b01a03d7edcf490
--- /dev/null
+++ b/results/test/parabola/problem_0637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bbe154e13c3ca295ed85038f56b5a98767508aeb9a4dc351eb612410910bf5f
+size 203627
diff --git a/results/test/parabola/problem_0640.png b/results/test/parabola/problem_0640.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b9cffd9c5b90504e2f33f6e5ff2fe0d86397b13
--- /dev/null
+++ b/results/test/parabola/problem_0640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:918c8a14807d000869fe394d772bc8ceb90349962a2df114bcf992ea8d4cb55e
+size 187736
diff --git a/results/test/parabola/problem_0643.png b/results/test/parabola/problem_0643.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb89fd52f3f8d6796694401ebbbf53d96dfe336d
--- /dev/null
+++ b/results/test/parabola/problem_0643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ef7b0c017595e2076c5e23a0b5114a72185871c80d1037de256fba094d89e17
+size 193380
diff --git a/results/test/parabola/problem_0648.png b/results/test/parabola/problem_0648.png
new file mode 100644
index 0000000000000000000000000000000000000000..19630e9b30cd67eebcf6fff27434f84a9a3240ba
--- /dev/null
+++ b/results/test/parabola/problem_0648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:caf9907f4c5baebe690055c51982407244200e6d025a4b5a07fa888c4a6e5615
+size 192218
diff --git a/results/test/parabola/problem_0652.png b/results/test/parabola/problem_0652.png
new file mode 100644
index 0000000000000000000000000000000000000000..62e4324fc86b456d5ab1edd90adddb4b10390e13
--- /dev/null
+++ b/results/test/parabola/problem_0652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab60ae8c34cdf7102f0e645f2f39549f23f167a55de4fb93f046d73de7253848
+size 196754
diff --git a/results/test/parabola/problem_0653.png b/results/test/parabola/problem_0653.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4bf45e50057278a748ddd2257df276d4b2b5652
--- /dev/null
+++ b/results/test/parabola/problem_0653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef664b7a065b92fa7a0c3074a3c64717e5754e10774cb07361ff16a588eea7eb
+size 166365
diff --git a/results/test/parabola/problem_0661.png b/results/test/parabola/problem_0661.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fea6c23071ac15c1e2367fc134a846f359772d1
--- /dev/null
+++ b/results/test/parabola/problem_0661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1dee6f5c99f80bcea3a3ee4935501234f3b36671f59236a8c849c9eff150548
+size 190836
diff --git a/results/test/parabola/problem_0662.png b/results/test/parabola/problem_0662.png
new file mode 100644
index 0000000000000000000000000000000000000000..009613d45c620adea9923c0d1b4850cf556634c5
--- /dev/null
+++ b/results/test/parabola/problem_0662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42c742206d5ac2890c0c0d09f10941e1a8e5a92e104c2ac33c32b024f4d67861
+size 184272
diff --git a/results/test/parabola/problem_0666.png b/results/test/parabola/problem_0666.png
new file mode 100644
index 0000000000000000000000000000000000000000..e03b9af782ffc334918807e1887cbcb730806a76
--- /dev/null
+++ b/results/test/parabola/problem_0666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e75ac86cc7028dada8d37023ebbebf15e807be4eb9307d90e00ffcb915cac1c9
+size 190461
diff --git a/results/test/parabola/problem_0668.png b/results/test/parabola/problem_0668.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a189b26fc0e4a6a7aa05661291a400054730dbc
--- /dev/null
+++ b/results/test/parabola/problem_0668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:211899c94b20ed5cd0a228baaa70e0e27b0c787d0dac98e4552fab2acfc245de
+size 210536
diff --git a/results/test/parabola/problem_0676.png b/results/test/parabola/problem_0676.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d529a3f024c61f750b81e5bb7a3b147b79179a6
--- /dev/null
+++ b/results/test/parabola/problem_0676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:140fa513690511be38777be00af043def8e45ed07b7b05f5c8a126834190d1d0
+size 190118
diff --git a/results/test/parabola/problem_0684.png b/results/test/parabola/problem_0684.png
new file mode 100644
index 0000000000000000000000000000000000000000..b179133e373e5ab4c8cc03f82cb5e22ac340be71
--- /dev/null
+++ b/results/test/parabola/problem_0684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1b723ca5ae32764417fe1c4e7a76ad20707a682233e8e8ec2648076c22b0b0d
+size 187568
diff --git a/results/test/parabola/problem_0688.png b/results/test/parabola/problem_0688.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc89a8614b623a1da408743feb2bff1341791d66
--- /dev/null
+++ b/results/test/parabola/problem_0688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7aaeb0f7c5651a81a89fd5ef916499067d9b1f460127c325b4638f115c1fbbed
+size 189647
diff --git a/results/test/parabola/problem_0689.png b/results/test/parabola/problem_0689.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a8cd16603bc74af767c3b03f1e34e940d3022d5
--- /dev/null
+++ b/results/test/parabola/problem_0689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adec30ed93d404618554d813d70951d5e4f13bfb75cf72ad43b714f8e25cacff
+size 186027
diff --git a/results/test/parabola/problem_0691.png b/results/test/parabola/problem_0691.png
new file mode 100644
index 0000000000000000000000000000000000000000..79dad49a7a0590bc1087aa9dba22cf8bf09b2bd3
--- /dev/null
+++ b/results/test/parabola/problem_0691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebec22ce773bafcaa0d23c02177b40578a6499589c9d40bdafbb2e9fcd02b958
+size 193143
diff --git a/results/test/parabola/problem_0694.png b/results/test/parabola/problem_0694.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4daebd71a07f4788cefd7a78e61e83ecf15f405
--- /dev/null
+++ b/results/test/parabola/problem_0694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:439544121493f4cfbdda01bd4b5ab08549de69618311faa17a238a128e412fd5
+size 183346
diff --git a/results/test/parabola/problem_0696.png b/results/test/parabola/problem_0696.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec892efe2255d74de41119bd489ff2edda16cdf7
--- /dev/null
+++ b/results/test/parabola/problem_0696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a8112a21b218dfdb2ba8c45182216e6da58337550e52782affe52c557c38e62
+size 196724
diff --git a/results/test/parabola/problem_0704.png b/results/test/parabola/problem_0704.png
new file mode 100644
index 0000000000000000000000000000000000000000..d812bb1eabe8443ab120efa3ff913ec733fced4d
--- /dev/null
+++ b/results/test/parabola/problem_0704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ce886e389f33e267cfdc020492bb5225795ef28bc9888961fc26d72f5d0de3d
+size 181500
diff --git a/results/test/parabola/problem_0706.png b/results/test/parabola/problem_0706.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f103773c961f4a57e1727068683812574afbbff
--- /dev/null
+++ b/results/test/parabola/problem_0706.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:619971ce953719a3dc4dfba12f453dcfd6423b25527d157e5dd4bd2b79e7d240
+size 188183
diff --git a/results/test/parabola/problem_0707.png b/results/test/parabola/problem_0707.png
new file mode 100644
index 0000000000000000000000000000000000000000..f21ce1e9a761520a8a073ffe0ea1e5d8eb846423
--- /dev/null
+++ b/results/test/parabola/problem_0707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a3f10e90a09d79126ccc1bcf455e9355e6124a890d85e35d667ee4fca591d5b
+size 196024
diff --git a/results/test/parabola/problem_0711.png b/results/test/parabola/problem_0711.png
new file mode 100644
index 0000000000000000000000000000000000000000..517bece6f93e65339d3d596f50f99cb6f324eb9d
--- /dev/null
+++ b/results/test/parabola/problem_0711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ac37c9b2d21cd1dceb699597f1cbf309d42d4c2c2e10a129638ebc7e06823ad
+size 189037
diff --git a/results/test/parabola/problem_0713.png b/results/test/parabola/problem_0713.png
new file mode 100644
index 0000000000000000000000000000000000000000..04391f080b8d0e6cb3ddd66679c0e5a8bd5a5ad5
--- /dev/null
+++ b/results/test/parabola/problem_0713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1079078193b6f23191d11a3c2bd93d55c968d9b31a919bef7467d1b8ed98dadf
+size 202300
diff --git a/results/test/parabola/problem_0719.png b/results/test/parabola/problem_0719.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8537a29a55b49af0c260a1c80e10c397377a148
--- /dev/null
+++ b/results/test/parabola/problem_0719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a807c34835130d2716a903d4739060d77225ae0ecd66197e75a88faf6facfdf
+size 175994
diff --git a/results/test/parabola/problem_0725.png b/results/test/parabola/problem_0725.png
new file mode 100644
index 0000000000000000000000000000000000000000..c719b7a6564ba1dba1abfd9c96b52b1ed2810a48
--- /dev/null
+++ b/results/test/parabola/problem_0725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c283d5459b3f1e47f0e49453e98314dd69d721f1b3253879c9a3da96db8efd86
+size 194871
diff --git a/results/test/parabola/problem_0727.png b/results/test/parabola/problem_0727.png
new file mode 100644
index 0000000000000000000000000000000000000000..68745ce54d20554fcd058dc04d025ec8966338a9
--- /dev/null
+++ b/results/test/parabola/problem_0727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca640fa7c638502e89a74ecbbcb4d379ab1fdf55b1d9a4caaa2396eb7b04c75c
+size 185148
diff --git a/results/test/parabola/problem_0729.png b/results/test/parabola/problem_0729.png
new file mode 100644
index 0000000000000000000000000000000000000000..c82ecdb560f600b41828a50af5be1c6f64cc4898
--- /dev/null
+++ b/results/test/parabola/problem_0729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0cc1160d6d5fd8773da466db130d8161abeb6fd5d28ce876ed892cf7947bb553
+size 197303
diff --git a/results/test/parabola/problem_0738.png b/results/test/parabola/problem_0738.png
new file mode 100644
index 0000000000000000000000000000000000000000..36bdd2911bf0f613c66187258b4dab9b2b116272
--- /dev/null
+++ b/results/test/parabola/problem_0738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5511e318dbe87bb3457feba50820b208e5a6828e8a33d9d0b2ee2a6f6bce587
+size 195992
diff --git a/results/test/parabola/problem_0741.png b/results/test/parabola/problem_0741.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7a5e838832ca569bed3cd0655e89ec1b6b7f746
--- /dev/null
+++ b/results/test/parabola/problem_0741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42f2a7407e7117dd3b0cf69cc5a8653d85b0f589942f09e3be02c8cd6c9a6980
+size 181429
diff --git a/results/test/parabola/problem_0743.png b/results/test/parabola/problem_0743.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc6b083b3cea643aaa2fc9f02a92582a2b055ea6
--- /dev/null
+++ b/results/test/parabola/problem_0743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ae6ff461b0123be93ab99dd56ccf33848381aca352a984fa4d4be65c4bc07e3
+size 189992
diff --git a/results/test/parabola/problem_0753.png b/results/test/parabola/problem_0753.png
new file mode 100644
index 0000000000000000000000000000000000000000..64ddfe572823ff350fdb25e6523171c43215e894
--- /dev/null
+++ b/results/test/parabola/problem_0753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d291316721d3c2a503182c5c4d7b4d1bb22d5fec406c23f0aca40b6fe2fda93
+size 183069
diff --git a/results/test/parabola/problem_0754.png b/results/test/parabola/problem_0754.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f4f09f3ca5a9e709dcb41e9f79c69a55216ae4f
--- /dev/null
+++ b/results/test/parabola/problem_0754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80453df254f6210c45767dcae442af59c1fa16a37c37db6971409ed4fd910ca3
+size 186908
diff --git a/results/test/parabola/problem_0755.png b/results/test/parabola/problem_0755.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d139214e2b6dd618f2889e4665795f1288dfcc2
--- /dev/null
+++ b/results/test/parabola/problem_0755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2af2f2f7a77fe15b491b5dec8c59cef1ef1c5c0de81bfdcbf377f96b6546beb
+size 189451
diff --git a/results/test/parabola/problem_0757.png b/results/test/parabola/problem_0757.png
new file mode 100644
index 0000000000000000000000000000000000000000..a406f1f6b81981cbf899f77a4f8d509d72c6b3e5
--- /dev/null
+++ b/results/test/parabola/problem_0757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5972897e4815dbc1ec6bca3b267920cf3435602ca078359db4dab755f5241cd9
+size 195013
diff --git a/results/test/parabola/problem_0761.png b/results/test/parabola/problem_0761.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc618532a55f35f60d4d7b7f5e0e22c028ca8074
--- /dev/null
+++ b/results/test/parabola/problem_0761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64717a5ec274b05e3a6f907fe922daedb1f76842cb3c541851ded1cb10eff3aa
+size 206288
diff --git a/results/test/parabola/problem_0763.png b/results/test/parabola/problem_0763.png
new file mode 100644
index 0000000000000000000000000000000000000000..15af64ce61674dd4ea57e71b02ac21433582e27e
--- /dev/null
+++ b/results/test/parabola/problem_0763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c171c4caaa3234291ee33bf8e6a57911a5af77e27f21df50b9385a9cad3d24f7
+size 194286
diff --git a/results/test/parabola/problem_0769.png b/results/test/parabola/problem_0769.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea3eab5111eaaa663c7e99bfeff4bd42c0799a24
--- /dev/null
+++ b/results/test/parabola/problem_0769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d822805eca8e8309efc6903673f48e197aea07d7735dbf5657834aafe8406b7
+size 191972
diff --git a/results/test/parabola/problem_0779.png b/results/test/parabola/problem_0779.png
new file mode 100644
index 0000000000000000000000000000000000000000..770f77af62e0c3fc19da772e9f9d682c5d3d3877
--- /dev/null
+++ b/results/test/parabola/problem_0779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf41dcd37e96160c213420c138ffbe892da6b08bcf1afb3aca3bcd3837153fb7
+size 188074
diff --git a/results/test/parabola/problem_0783.png b/results/test/parabola/problem_0783.png
new file mode 100644
index 0000000000000000000000000000000000000000..08c9fc65d15a96ecbee4b5f191d5c06fb51234ce
--- /dev/null
+++ b/results/test/parabola/problem_0783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56b9afa8c67efab42c1cbe00e8ece9e7b699973de4cb346751a45d6ba0c993dd
+size 187010
diff --git a/results/test/parabola/problem_0787.png b/results/test/parabola/problem_0787.png
new file mode 100644
index 0000000000000000000000000000000000000000..37ba4621f0aab01148efa8c96e0c33a1764580ac
--- /dev/null
+++ b/results/test/parabola/problem_0787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a15622afefd098e89e65e9ed4936d3e4005376bef7c4e2e2a95ebddb164070e6
+size 193953
diff --git a/results/test/parabola/problem_0800.png b/results/test/parabola/problem_0800.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fe14a0a82106c9fc2273f941a97b4eda599b2d8
--- /dev/null
+++ b/results/test/parabola/problem_0800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8341f0f712c49085d802e67526a386defc86ef5c5fe2f74caa9dfb62841fc49b
+size 188503
diff --git a/results/test/parabola/problem_0804.png b/results/test/parabola/problem_0804.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcc8f78dcdf58f7573ef55faf0b4b8a5c34fc1e6
--- /dev/null
+++ b/results/test/parabola/problem_0804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83b8f7db29dbcb5cf574835b76d7b7068633b481feb79657a24a44ca0effbdda
+size 181323
diff --git a/results/test/parabola/problem_0806.png b/results/test/parabola/problem_0806.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc61b5342f44c8e41817f4152bf079f5fc1013c7
--- /dev/null
+++ b/results/test/parabola/problem_0806.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d101c5b9ffe5fa1143f764228a4cbd627a0a90a25a2ac4c5c2a03b0067a5428e
+size 190128
diff --git a/results/test/parabola/problem_0810.png b/results/test/parabola/problem_0810.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fc52a901a527c05dd5d16560721264b76f244fa
--- /dev/null
+++ b/results/test/parabola/problem_0810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57e63cfda1fbdd231113f8eed92b2b58cb95be0a03d703f1b774d598503f595f
+size 187235
diff --git a/results/test/parabola/problem_0816.png b/results/test/parabola/problem_0816.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ebe70b43fc3f990ee31599a2c52606fe427b2f3
--- /dev/null
+++ b/results/test/parabola/problem_0816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e56db7fe1010f25f1a98707328e411fe249892e935e64bda66c49d216299dea7
+size 192564
diff --git a/results/test/parabola/problem_0819.png b/results/test/parabola/problem_0819.png
new file mode 100644
index 0000000000000000000000000000000000000000..1234ffd5ed9f7ce8588e2963b3bfdd63782cceee
--- /dev/null
+++ b/results/test/parabola/problem_0819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ff1a4ba5b1a6f863f7f78993873a3ca197502972e0468f4fb6504aa97ffe60e
+size 193202
diff --git a/results/test/parabola/problem_0820.png b/results/test/parabola/problem_0820.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6881b50bf58faac38d3154da6b664ed00b1f807
--- /dev/null
+++ b/results/test/parabola/problem_0820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe6913787833a0b8c3de7c35c2a699f85488de071bccf8faf6ffa284306cb430
+size 195284
diff --git a/results/test/parabola/problem_0823.png b/results/test/parabola/problem_0823.png
new file mode 100644
index 0000000000000000000000000000000000000000..49c07decde77588567e0ca64001b1c8aa8c2a656
--- /dev/null
+++ b/results/test/parabola/problem_0823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35edab042df1f57449748554fd2e645b79cc670dffa2ebaec0d599112b8b6a69
+size 194174
diff --git a/results/test/parabola/problem_0826.png b/results/test/parabola/problem_0826.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd6cbf5eb3e7e3b4193c02377892aa5692f264e9
--- /dev/null
+++ b/results/test/parabola/problem_0826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff4c57aad65e437f5383532fc45f57d6b028a5661c6b5107d4696960c52b0a3f
+size 189698
diff --git a/results/test/parabola/problem_0831.png b/results/test/parabola/problem_0831.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e58f00584fab305e2064291329f60df59f824c5
--- /dev/null
+++ b/results/test/parabola/problem_0831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:909a4528d35ec1b961119ccdb1c6fe48af74e066d7c7ea8bd46f98e98e375755
+size 187238
diff --git a/results/test/parabola/problem_0833.png b/results/test/parabola/problem_0833.png
new file mode 100644
index 0000000000000000000000000000000000000000..42557ee901befd5f49bf2cf865a6ef8ed666dc63
--- /dev/null
+++ b/results/test/parabola/problem_0833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0712119e2519b228855c3b431092b702c79c47a7689625daf5bd6644b9c30ae4
+size 194765
diff --git a/results/test/parabola/problem_0834.png b/results/test/parabola/problem_0834.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1d9b59670c9fd83f66beb2cbb48e64652e8a653
--- /dev/null
+++ b/results/test/parabola/problem_0834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b843ab0e53d4afe9eae289ef07404d8698c89ce9c288e40f94b3843eec3fd86
+size 189748
diff --git a/results/test/parabola/problem_0838.png b/results/test/parabola/problem_0838.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d6c76ab475d7c8971f64df0c018fdb5323b47c2
--- /dev/null
+++ b/results/test/parabola/problem_0838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eff723fc33beb425e971995967dbbd3c731f68ddf94c66e318a7edb5a3b177e7
+size 163322
diff --git a/results/test/parabola/problem_0840.png b/results/test/parabola/problem_0840.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a4111e00b6beec23a66d3fe71e6cef6f50a3b0d
--- /dev/null
+++ b/results/test/parabola/problem_0840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:852c000c85b08b581ba8015fc84955f26bf67c0331802e0bd55afd25464857a5
+size 196059
diff --git a/results/test/parabola/problem_0846.png b/results/test/parabola/problem_0846.png
new file mode 100644
index 0000000000000000000000000000000000000000..21ff7e7869adf0fc8b61b3df70be296e568916b6
--- /dev/null
+++ b/results/test/parabola/problem_0846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51ec867d528fb8cd242d272b37e6782c3f059b0d686ad116713794b01f43151b
+size 196952
diff --git a/results/test/parabola/problem_0848.png b/results/test/parabola/problem_0848.png
new file mode 100644
index 0000000000000000000000000000000000000000..549aff3822a76c8fdc33d8605a306f4665733c37
--- /dev/null
+++ b/results/test/parabola/problem_0848.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc35ba61b991b0c11fd11dd37c4cf366a30e7d40f93559ba7d86b2a14239d049
+size 184848
diff --git a/results/test/parabola/problem_0851.png b/results/test/parabola/problem_0851.png
new file mode 100644
index 0000000000000000000000000000000000000000..e212da7172e693869215ccb848b497a6706e0b42
--- /dev/null
+++ b/results/test/parabola/problem_0851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10170e415a31c63feb7730fa07bbd291e1e5a436e82e4d9b4386e205a7a95735
+size 196434
diff --git a/results/test/parabola/problem_0853.png b/results/test/parabola/problem_0853.png
new file mode 100644
index 0000000000000000000000000000000000000000..dccf6b7ee0fa88b861ad29ac590cc54ae426915e
--- /dev/null
+++ b/results/test/parabola/problem_0853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cc62f8a5ec016f1dbb9088fd41a76156728287f40b9d4f492d4cf401efda557
+size 184775
diff --git a/results/test/parabola/problem_0855.png b/results/test/parabola/problem_0855.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd2ea2611ae1fb0a9a05b015ccd88f51255825a4
--- /dev/null
+++ b/results/test/parabola/problem_0855.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f5a02a184aef943961d6b8a7872740a3b3cde912e98ccf9621289d1144b9e9b
+size 184158
diff --git a/results/test/parabola/problem_0860.png b/results/test/parabola/problem_0860.png
new file mode 100644
index 0000000000000000000000000000000000000000..eddd4ae0b87adf41f178113cf98c160dcb99e342
--- /dev/null
+++ b/results/test/parabola/problem_0860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:784edced25977d9adf21b36cfa1e4c56c61c4966e0239ae7475a5a8988a080aa
+size 183684
diff --git a/results/test/parabola/problem_0864.png b/results/test/parabola/problem_0864.png
new file mode 100644
index 0000000000000000000000000000000000000000..a46ae6ef227e62a2a5f9b2c58540255f9fc74ea2
--- /dev/null
+++ b/results/test/parabola/problem_0864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24d220dffdbce0a76721d15bb6810b90b50af4c1341860f6c34fa465d1262732
+size 191631
diff --git a/results/test/parabola/problem_0869.png b/results/test/parabola/problem_0869.png
new file mode 100644
index 0000000000000000000000000000000000000000..486d2bea5e354a179a90ace6af459b98afd303ba
--- /dev/null
+++ b/results/test/parabola/problem_0869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f32a455b46ccbd783db8762faceaee0663ee83f33520f7a43cdc29c827819b77
+size 170729
diff --git a/results/test/parabola/problem_0880.png b/results/test/parabola/problem_0880.png
new file mode 100644
index 0000000000000000000000000000000000000000..260ccb6c9aa81339db24ec5515aea36160f1669b
--- /dev/null
+++ b/results/test/parabola/problem_0880.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f195214dd2f80ad2659629700d43060b6fc6ef3f30d4774dba11e27214c8785b
+size 189335
diff --git a/results/test/parabola/problem_0882.png b/results/test/parabola/problem_0882.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ea0ce564d9092c10b9bd0563b4a155a12927665
--- /dev/null
+++ b/results/test/parabola/problem_0882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d2c90b8e7ee3f7b1dbd170d28fde57f130430685f42a80a1e681ef82628d03a
+size 176577
diff --git a/results/test/parabola/problem_0891.png b/results/test/parabola/problem_0891.png
new file mode 100644
index 0000000000000000000000000000000000000000..257697d5d7b9409a0bb56cfe23237f5caec3bf3c
--- /dev/null
+++ b/results/test/parabola/problem_0891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4feb0975d5a7e22d67af72714f54e5e424df4dd74672992e3011e454d6e03a9
+size 195162
diff --git a/results/test/parabola/problem_0893.png b/results/test/parabola/problem_0893.png
new file mode 100644
index 0000000000000000000000000000000000000000..960aef5268bf68a3c3f738247532666f92e764e9
--- /dev/null
+++ b/results/test/parabola/problem_0893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c6e4da1c683c0cdaec6eedab00908a2bc0b0e29bf9d033695486b0f2f9a6a65
+size 188948
diff --git a/results/test/parabola/problem_0905.png b/results/test/parabola/problem_0905.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea214905574b4f3ee6369c760aa20092936317f5
--- /dev/null
+++ b/results/test/parabola/problem_0905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f745f2ebb824d5c95e1a7c9ba7e9681039d9f143c0c20384c0c36c62122aec76
+size 201519
diff --git a/results/test/parabola/problem_0906.png b/results/test/parabola/problem_0906.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ac42edb0a2db6dbe88eea32836a9b7ab48d544b
--- /dev/null
+++ b/results/test/parabola/problem_0906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:649da01e1a31eeda61a9964e71f685227bbd49de5e2dd15f481b398b8ea3e72d
+size 201287
diff --git a/results/test/parabola/problem_0910.png b/results/test/parabola/problem_0910.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c974147fa9047a714a48bc5ed2faa2151cf43f3
--- /dev/null
+++ b/results/test/parabola/problem_0910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:881f1199721011baea617a48cb4dce9237c8525acbbec866deb536b8be28f4ec
+size 190152
diff --git a/results/test/parabola/problem_0914.png b/results/test/parabola/problem_0914.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0e6368cd80b3083bae003aae33f31404a323f19
--- /dev/null
+++ b/results/test/parabola/problem_0914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74653afc504d5f391a98aa732f3fd1b6f64b1fd99520cfa95ba34a6382feb7b0
+size 190420
diff --git a/results/test/parabola/problem_0916.png b/results/test/parabola/problem_0916.png
new file mode 100644
index 0000000000000000000000000000000000000000..117591a81ab3565ed59d57f814700b80e7825963
--- /dev/null
+++ b/results/test/parabola/problem_0916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddaaa9b505a1083ae1f7596c6efabe838ccc5c59f55043e93b744498c23c069d
+size 193299
diff --git a/results/test/parabola/problem_0923.png b/results/test/parabola/problem_0923.png
new file mode 100644
index 0000000000000000000000000000000000000000..2919c9b9ef81e42129cfc0656330e94ad81f85b3
--- /dev/null
+++ b/results/test/parabola/problem_0923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:736e6b001807ea32828884c2f4302f34bf54e53b91e90913d088d8618c87e7f8
+size 193826
diff --git a/results/test/parabola/problem_0935.png b/results/test/parabola/problem_0935.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c82cb305db12a8d39f366513b76b37c5247eadc
--- /dev/null
+++ b/results/test/parabola/problem_0935.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0429aa39b14320984db7c7c443a9afc276cbbfda518aaf93f20a557e25d236f
+size 202003
diff --git a/results/test/parabola/problem_0937.png b/results/test/parabola/problem_0937.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2b8cd0b7e1aa04a9d1017ca4fd01d2292a9ce5d
--- /dev/null
+++ b/results/test/parabola/problem_0937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3f1cfbe54c049e760bf6dd11f236760230cfc898bed63c718011a29b9c9705f
+size 177651
diff --git a/results/test/parabola/problem_0939.png b/results/test/parabola/problem_0939.png
new file mode 100644
index 0000000000000000000000000000000000000000..18ccab2e0de049cc358a8355f0acaaa498091669
--- /dev/null
+++ b/results/test/parabola/problem_0939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49fc5c5158a2d69eb6e8bd84a63b72f641525446c62851717715f51878f1ada0
+size 193211
diff --git a/results/test/parabola/problem_0946.png b/results/test/parabola/problem_0946.png
new file mode 100644
index 0000000000000000000000000000000000000000..db1b18c10053c6f787fb1cb391351a8f4c659e4e
--- /dev/null
+++ b/results/test/parabola/problem_0946.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:724f0ef7ae3dce973bf5079682ae05fd6f70e41f0a0ae98ec5193afb123e9d0d
+size 185462
diff --git a/results/test/parabola/problem_0952.png b/results/test/parabola/problem_0952.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2025d43529a5a2d4853cd7ea5cd44c4c5e43a01
--- /dev/null
+++ b/results/test/parabola/problem_0952.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a4ab5a951f5fb4be4787d48f2939702b4ee2c3539568d90b88578240d311e34
+size 178954
diff --git a/results/test/parabola/problem_0954.png b/results/test/parabola/problem_0954.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f83f3d280a890e510f90368e8371daff037b86d
--- /dev/null
+++ b/results/test/parabola/problem_0954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26763b83da9bb3f4a65599dc9ca4405c528b853ce3e5e9c0e1d242d0b5edb73b
+size 186494
diff --git a/results/test/parabola/problem_0955.png b/results/test/parabola/problem_0955.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dee6f6652f43d121f3a5786ca7dd839f4d4e4dd
--- /dev/null
+++ b/results/test/parabola/problem_0955.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cef50083a1af9b611adde9833c8dc195459d8997c0397dcfa49565ab7abcde09
+size 188578
diff --git a/results/test/parabola/problem_0957.png b/results/test/parabola/problem_0957.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac411bc10e94ab1ed27c3635d1f8efa45b2cb9e7
--- /dev/null
+++ b/results/test/parabola/problem_0957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03cf8d424c23c86841ad8dc47c31fdc2d84ff90f09a00b428e180d466a86daaf
+size 191473
diff --git a/results/test/parabola/problem_0958.png b/results/test/parabola/problem_0958.png
new file mode 100644
index 0000000000000000000000000000000000000000..e03e192f5bdc7e65d56fdaeb337b6ea5adec76a6
--- /dev/null
+++ b/results/test/parabola/problem_0958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b64595efc06b0fba6e1f934d8c2dad0bfa4f4d082fcc1f3e71bab523713f950
+size 180248
diff --git a/results/test/parabola/problem_0962.png b/results/test/parabola/problem_0962.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebc8007cd642a1852b6bdfdcf6aebd0b4361060f
--- /dev/null
+++ b/results/test/parabola/problem_0962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1af84fcff10562bb72a8d805f9b9f2d845ae8267d5ca48e4a9112f0256589d67
+size 191051
diff --git a/results/test/parabola/problem_0965.png b/results/test/parabola/problem_0965.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fdade110d42406e7b0d0c59533a5b96704b0d87
--- /dev/null
+++ b/results/test/parabola/problem_0965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a1765dcfde596f689ddbb5068916810933f4787b3d1f48c88d1fed786b4ceda
+size 186420
diff --git a/results/test/parabola/problem_0973.png b/results/test/parabola/problem_0973.png
new file mode 100644
index 0000000000000000000000000000000000000000..409ba8ffb45bc101b774ed0b22ba1dba848a9ffd
--- /dev/null
+++ b/results/test/parabola/problem_0973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbb6253f23f2e295e3a297dd01f1ed11abb959aa7f5c2ea2ecf58ef519eea818
+size 185469
diff --git a/results/test/parabola/problem_0974.png b/results/test/parabola/problem_0974.png
new file mode 100644
index 0000000000000000000000000000000000000000..03941b2255a77241e4944e6e90e7ee4ee52da6be
--- /dev/null
+++ b/results/test/parabola/problem_0974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19536ae22d7b823542df4e751baf848269531011c34ac240156222425c9b0b02
+size 203695
diff --git a/results/test/parabola/problem_0975.png b/results/test/parabola/problem_0975.png
new file mode 100644
index 0000000000000000000000000000000000000000..a11a0441d05532ac037277214257dc11587d752c
--- /dev/null
+++ b/results/test/parabola/problem_0975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e100fa63781aae4bb52fc5ef1d05e9b17883d9969d6cf5aac344b3ffd54ff991
+size 188800
diff --git a/results/test/parabola/problem_0978.png b/results/test/parabola/problem_0978.png
new file mode 100644
index 0000000000000000000000000000000000000000..7023421b4eba3786ba6b863dc5be8030523d1272
--- /dev/null
+++ b/results/test/parabola/problem_0978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cb1cb468ac702c7f75f936efce30cac46b0e4d012cbb04913a80d767fbace7b
+size 187965
diff --git a/results/test/parabola/problem_0980.png b/results/test/parabola/problem_0980.png
new file mode 100644
index 0000000000000000000000000000000000000000..69ae279958b3813699f3a28dfd25dbfd596a7987
--- /dev/null
+++ b/results/test/parabola/problem_0980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11d908ff412f8624fecef305a3cfc568f80c7b506283350f1cc7096c6eb462d6
+size 187658
diff --git a/results/test/parabola/problem_0987.png b/results/test/parabola/problem_0987.png
new file mode 100644
index 0000000000000000000000000000000000000000..88509a6cfd67f81955d61957a372492c00ab62ab
--- /dev/null
+++ b/results/test/parabola/problem_0987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69bf9ab494ed36ab407e4800b423003a72c351521e3cdbe0f04e07353df04e48
+size 191383
diff --git a/results/test/parabola/problem_0988.png b/results/test/parabola/problem_0988.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5904b9435f1de113cd89cbe73ab211eb83e60c6
--- /dev/null
+++ b/results/test/parabola/problem_0988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d83d143a17fbe8d54ab7cb66f01804f55178ca58d25e5129fad494e5d9bb842c
+size 188086
diff --git a/results/test/parabola/problem_0989.png b/results/test/parabola/problem_0989.png
new file mode 100644
index 0000000000000000000000000000000000000000..853b25e1a1da7d2bb47390f2541f42b44d19f077
--- /dev/null
+++ b/results/test/parabola/problem_0989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b270d31a061f1aea26fcd60e7c5d4fab56698fa242f6a5fff40322baee2da25f
+size 195081
diff --git a/results/test/parabola/problem_0993.png b/results/test/parabola/problem_0993.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa5ebb84549d1a0ca70988a0b941bff9a7ae74d8
--- /dev/null
+++ b/results/test/parabola/problem_0993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c635627522179f9b8bcd8189547dbcf30944933864781c88c0bffae4f3338e97
+size 182896
diff --git a/results/test/parabola/problem_0995.png b/results/test/parabola/problem_0995.png
new file mode 100644
index 0000000000000000000000000000000000000000..bae5ea1dc773845f3035235e1ea8fc4d09c22a5d
--- /dev/null
+++ b/results/test/parabola/problem_0995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7abbf6b4ad08b99c03c5870dbc6ef87311559ea72ae589c86d59913fbf466b8d
+size 194922
diff --git a/results/test/parabola/problem_0999.png b/results/test/parabola/problem_0999.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcbed64793d59eacbebf0ca3d53f3aa60917fd0d
--- /dev/null
+++ b/results/test/parabola/problem_0999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:052e4ee98b051c6794c9e8424747b9e8312a223fa825c8a73cb4ec3e66f4eb0f
+size 189009
diff --git a/results/test/parabola/problem_1000.png b/results/test/parabola/problem_1000.png
new file mode 100644
index 0000000000000000000000000000000000000000..d663f9875947e8d91ca020a2fe25465bfda93b14
--- /dev/null
+++ b/results/test/parabola/problem_1000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98742fe61f697417c1c8640e17fcc8a191406fc61ba8242b0b67745694a3f3ff
+size 185272
diff --git a/results/test/parabola/problem_1001.png b/results/test/parabola/problem_1001.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3f5ab4b9683462c9d5c611dd60b2af774ee07b0
--- /dev/null
+++ b/results/test/parabola/problem_1001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5576cdd135b69cb64fd01e81ae9cd5fa7e95d4ea5f2857f3d7e9ef82acc04696
+size 192934
diff --git a/results/test/parabola/problem_1003.png b/results/test/parabola/problem_1003.png
new file mode 100644
index 0000000000000000000000000000000000000000..b21d82a0beb597a01459c6cfe788a103303122a8
--- /dev/null
+++ b/results/test/parabola/problem_1003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1c5edfb53d7a23f829fab0b786cb1ae24d8b372ae096efdce001fe33f6b0fa8
+size 187669
diff --git a/results/test/parabola/problem_1013.png b/results/test/parabola/problem_1013.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd907b083bad9caa324e1478ba230f589a4e352f
--- /dev/null
+++ b/results/test/parabola/problem_1013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41df84c420b7eb2d1a2cb4396537952c80a272d7c8e74bbcd49000ee7697bfe3
+size 197481
diff --git a/results/test/parabola/problem_1015.png b/results/test/parabola/problem_1015.png
new file mode 100644
index 0000000000000000000000000000000000000000..b043f482fa16d0241dd88d1cf785059f7b860314
--- /dev/null
+++ b/results/test/parabola/problem_1015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e6194a52a4f413b63580e4762a2ffa14fb2696121dbf2583788c173cd3285a7
+size 185130
diff --git a/results/test/parabola/problem_1025.png b/results/test/parabola/problem_1025.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b8bf040b8a43195f2c3ae3cc115cd3c9cbd50b9
--- /dev/null
+++ b/results/test/parabola/problem_1025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89388f85196fa91afc039440b41c0eee221b66e4919b4542f24b2220620ad82b
+size 191410
diff --git a/results/test/parabola/problem_1030.png b/results/test/parabola/problem_1030.png
new file mode 100644
index 0000000000000000000000000000000000000000..10842710d10cd2abedda3408078f196b4f942c85
--- /dev/null
+++ b/results/test/parabola/problem_1030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d71ab0ff5b388fe4c4a0cc2d0fa5a4a3cbf8579e26a38222e0e72a189947b055
+size 194748
diff --git a/results/test/parabola/problem_1032.png b/results/test/parabola/problem_1032.png
new file mode 100644
index 0000000000000000000000000000000000000000..8eaf6f045e2c7eededa4caea929a8a666af22d63
--- /dev/null
+++ b/results/test/parabola/problem_1032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88cc17ad610b3890b5ec50ccf8b5ef7ad0693ed146bdc774f8af34100f091911
+size 191088
diff --git a/results/test/parabola/problem_1035.png b/results/test/parabola/problem_1035.png
new file mode 100644
index 0000000000000000000000000000000000000000..93794d072ca299da036c493aa331b55199977701
--- /dev/null
+++ b/results/test/parabola/problem_1035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9121bb74a3117a6f10656068229eb2f4333b00680f5c0a56ff88e1a426192703
+size 179868
diff --git a/results/test/parabola/problem_1048.png b/results/test/parabola/problem_1048.png
new file mode 100644
index 0000000000000000000000000000000000000000..80567e62f169743bf25cd03a81b7895c083962c4
--- /dev/null
+++ b/results/test/parabola/problem_1048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9441542c3668cb0619bfa3fb0fd9ef28e65668b231dd2a73829ba069c948b828
+size 194222
diff --git a/results/test/parabola/problem_1053.png b/results/test/parabola/problem_1053.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef6e2f062a7450b5abfc3133968ad19e4458b068
--- /dev/null
+++ b/results/test/parabola/problem_1053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26dde16c8a7e420fc81da1a807ef40824733693fea21375b84e7eec95cf252c5
+size 189853
diff --git a/results/test/parabola/problem_1055.png b/results/test/parabola/problem_1055.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ecc0e764cbccc4e86723162dea14f0e2b7de98a
--- /dev/null
+++ b/results/test/parabola/problem_1055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e1249a08508e451541d1c14b30be9aa78a3fe4837f4340b9bb2f5c5b7fbd9b8
+size 187436
diff --git a/results/test/parabola/problem_1063.png b/results/test/parabola/problem_1063.png
new file mode 100644
index 0000000000000000000000000000000000000000..7dcb3faee31fc550c6ebca9fe7361d14687ab005
--- /dev/null
+++ b/results/test/parabola/problem_1063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fea5d15e87f54aa8bdcb9cc609653e8b0e9516dc7b72f9dbe7f372299a280650
+size 186605
diff --git a/results/test/parabola/problem_1066.png b/results/test/parabola/problem_1066.png
new file mode 100644
index 0000000000000000000000000000000000000000..73447f326da5694de74ecff51db465b1f8a38007
--- /dev/null
+++ b/results/test/parabola/problem_1066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b6157a9426e9b60db6c5779d38fcb2700118c6c255477e58829740feea8d7b1
+size 186850
diff --git a/results/test/parabola/problem_1067.png b/results/test/parabola/problem_1067.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ed00276d93d27a19e77ef6ecd5f91b24d419f0c
--- /dev/null
+++ b/results/test/parabola/problem_1067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bafbe6d23e1da0b26504f06d417de7699edb5dcb072139e5be86b1238d81bcb
+size 189493
diff --git a/results/test/parabola/problem_1068.png b/results/test/parabola/problem_1068.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac56e51aaa57dce997aeaf9cecc561e6d7352385
--- /dev/null
+++ b/results/test/parabola/problem_1068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6831d3647b2889d9ef2c4d70c6c187946fe103ff4429cde07cfaddf12e90ef8e
+size 182883
diff --git a/results/test/parabola/problem_1070.png b/results/test/parabola/problem_1070.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5c673e7ce5c0d3b3507ce7272826e89283ad1c3
--- /dev/null
+++ b/results/test/parabola/problem_1070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6164476b6754e1da26ca8b165b1feea940cfb2b39582ce9bbc712b18396cbc16
+size 186877
diff --git a/results/test/parabola/problem_1072.png b/results/test/parabola/problem_1072.png
new file mode 100644
index 0000000000000000000000000000000000000000..3398c59d385b8f9715e912680c7bbf2d38a7b688
--- /dev/null
+++ b/results/test/parabola/problem_1072.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:875c0050eff7fc2cde4a8687f138f69f15e165e0d8c822d640fb65feed8261e8
+size 193907
diff --git a/results/test/parabola/problem_1073.png b/results/test/parabola/problem_1073.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bb098e9a2dce2557465b7e61873b9b1d3f8a08c
--- /dev/null
+++ b/results/test/parabola/problem_1073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10a9b3fc318c055164200e336826ecc98f6cf2f67ebcd12009d6533e917c5193
+size 198311
diff --git a/results/test/parabola/problem_1079.png b/results/test/parabola/problem_1079.png
new file mode 100644
index 0000000000000000000000000000000000000000..4682d3a36a2f2b79ded7af629127e9e27e503a62
--- /dev/null
+++ b/results/test/parabola/problem_1079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47cdfe764e938b7c07e8ec41ea160d69d92f1413a8ef1d49ded59054517f78d7
+size 204276
diff --git a/results/test/parabola/problem_1080.png b/results/test/parabola/problem_1080.png
new file mode 100644
index 0000000000000000000000000000000000000000..91cb8a80f86bd4a24ce74f81fe9325315c95f0dc
--- /dev/null
+++ b/results/test/parabola/problem_1080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be558b95d5c5b799b0baa4282d10be97f539a77fb1633cd83b6711570f2134db
+size 189844
diff --git a/results/test/parabola/problem_1082.png b/results/test/parabola/problem_1082.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e76bd1f6f41518e783c1bc2f8b1f35964ad55ff
--- /dev/null
+++ b/results/test/parabola/problem_1082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a14f99c41a80ed51eb83261d994f6897df1ae8d7b829f622c6490d50f369b9e0
+size 158430
diff --git a/results/test/parabola/problem_1090.png b/results/test/parabola/problem_1090.png
new file mode 100644
index 0000000000000000000000000000000000000000..2562cd0862e4e57104634464e1e7e360ab62476a
--- /dev/null
+++ b/results/test/parabola/problem_1090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:657cf011fa159d40a4f36986c741f63587bd268bf7f68b96a6871ddf334c5766
+size 194548
diff --git a/results/test/parabola/problem_1091.png b/results/test/parabola/problem_1091.png
new file mode 100644
index 0000000000000000000000000000000000000000..9308def2805d7d781f7baf5ecb118f724f6be89e
--- /dev/null
+++ b/results/test/parabola/problem_1091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07245e87247da3bd63035f3940a0165bd0eeb37bb81dfae95cd663c8ea19bbc4
+size 192719
diff --git a/results/test/parabola/problem_1092.png b/results/test/parabola/problem_1092.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8ee7515fab5b7ddebf9f0f377386db738a36ac9
--- /dev/null
+++ b/results/test/parabola/problem_1092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:624e466352549dfdcabd29a0d58a947b95529ebf4df9405c2060c06ccd85bd89
+size 181132
diff --git a/results/test/parabola/problem_1095.png b/results/test/parabola/problem_1095.png
new file mode 100644
index 0000000000000000000000000000000000000000..68d58792c2cb2ddbb19aee9f22e51b85411bbdda
--- /dev/null
+++ b/results/test/parabola/problem_1095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e07bcf464b865591bc379930a2a90336c794d48b9cc3fbdde7dffffc4ec9d71
+size 200074
diff --git a/results/test/parabola/problem_1098.png b/results/test/parabola/problem_1098.png
new file mode 100644
index 0000000000000000000000000000000000000000..60c786aac10b61052b3ac9d84f93c6d4eda41adc
--- /dev/null
+++ b/results/test/parabola/problem_1098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a79067eeb477215287a0f4aae07f976526779e2625d07d2e2f385266621f45d2
+size 197706
diff --git a/results/test/parabola/problem_1099.png b/results/test/parabola/problem_1099.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e749a58bcd207d2bf41c29ff0f9ccb3d09b921f
--- /dev/null
+++ b/results/test/parabola/problem_1099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3f5360ab84d4acaa20e494046e6b17e24dba11e23792ca7014bc72d3b149278
+size 170049
diff --git a/results/test/parabola/problem_1103.png b/results/test/parabola/problem_1103.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f607bb0cd7ad56f00789f950601b87b96890db1
--- /dev/null
+++ b/results/test/parabola/problem_1103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08be23e10cf4a98f6a8f13767a2529092cc941c227df0df3107978ea54cca689
+size 185283
diff --git a/results/test/parabola/problem_1112.png b/results/test/parabola/problem_1112.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ef9a260662fdfa21e23ca9123b1ff4ca85e0e6d
--- /dev/null
+++ b/results/test/parabola/problem_1112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63ff556a3e1a326e4b67bc419e837217eeef6b9a96c522250bfce5d060f65652
+size 180328
diff --git a/results/test/parabola/problem_1115.png b/results/test/parabola/problem_1115.png
new file mode 100644
index 0000000000000000000000000000000000000000..68950f3cd08b6bbd6205fa437b973be8e55d37ad
--- /dev/null
+++ b/results/test/parabola/problem_1115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db0e2ab99b436afcce2896f66eedf8cdd460c6327f7664d8067352a6a6f84b05
+size 193720
diff --git a/results/test/parabola/problem_1117.png b/results/test/parabola/problem_1117.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e09b700c58d33e4f86c60adccf12abe8c041def
--- /dev/null
+++ b/results/test/parabola/problem_1117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39b391fd7f9e1ebe51e76a2672e6f97534ba280465ce445bbb3ac8a037dae099
+size 201689
diff --git a/results/test/parabola/problem_1125.png b/results/test/parabola/problem_1125.png
new file mode 100644
index 0000000000000000000000000000000000000000..4826e03fce7ac8dbdbc8c818740965b5f2cc3528
--- /dev/null
+++ b/results/test/parabola/problem_1125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdc348846804bb222889fe0c5220551c6202be953877cea62f52c855b37c9434
+size 187946
diff --git a/results/test/parabola/problem_1129.png b/results/test/parabola/problem_1129.png
new file mode 100644
index 0000000000000000000000000000000000000000..3838ccdb72f8d4f69210f4c04902d27b33d4b7cd
--- /dev/null
+++ b/results/test/parabola/problem_1129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e17c69156bff217ebf96fe149adc2c65402384ea57b1800dd6807461f36208a
+size 179069
diff --git a/results/test/parabola/problem_1130.png b/results/test/parabola/problem_1130.png
new file mode 100644
index 0000000000000000000000000000000000000000..89da5a3866ffeac3f8dbe9979f68a0f3fdaa5996
--- /dev/null
+++ b/results/test/parabola/problem_1130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3897864ecd131d038ea3c0fce6023b3f89a1b8ceef37317dddbd78c3f563eb50
+size 167866
diff --git a/results/test/parabola/problem_1134.png b/results/test/parabola/problem_1134.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cfb2b25f9f0621e5d790511e12fa46c236517c4
--- /dev/null
+++ b/results/test/parabola/problem_1134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:474f82cbaeefce1ecb2efc52d071fa7c27c2284628b7dfa31e627b8b5f16dfb2
+size 183213
diff --git a/results/test/parabola/problem_1140.png b/results/test/parabola/problem_1140.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6f83ba26edf9946efb09b1b579e8c44f024a882
--- /dev/null
+++ b/results/test/parabola/problem_1140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bd6de529b0f18ba0fb0b7b81410a8742559b721e4ddcdb37b82c1da4d04df41
+size 192854
diff --git a/results/test/parabola/problem_1148.png b/results/test/parabola/problem_1148.png
new file mode 100644
index 0000000000000000000000000000000000000000..69bea5ae1d08c6b4c1f2b189a89c87e903c51fc6
--- /dev/null
+++ b/results/test/parabola/problem_1148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aff71bc860639cff6977582244315f13dccb1288f10bb3bc8bcd5fd7d7b4e882
+size 188777
diff --git a/results/test/parabola/problem_1151.png b/results/test/parabola/problem_1151.png
new file mode 100644
index 0000000000000000000000000000000000000000..d17dbd7144bd076b05c1d208838e571d7925771c
--- /dev/null
+++ b/results/test/parabola/problem_1151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43fe816e469829ef401f3bb492493de2a1a94fde77a3126bb79414bd0fe34b70
+size 183649
diff --git a/results/test/parabola/problem_1153.png b/results/test/parabola/problem_1153.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3efa4b82971ec842384eb4cdf149aed5c220161
--- /dev/null
+++ b/results/test/parabola/problem_1153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3de2ff3251767041b4e47d7f0670540f1d5ff9279b11ff12d43fb7e00e9ade64
+size 192284
diff --git a/results/test/parabola/problem_1160.png b/results/test/parabola/problem_1160.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa763ee773e28f46a8096bdc5e375990f57893d0
--- /dev/null
+++ b/results/test/parabola/problem_1160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f18911cdc30cb42139824d348f82c5fba1ecc2ab60332d2d6e375ce0ef3092c
+size 188981
diff --git a/results/test/parabola/problem_1163.png b/results/test/parabola/problem_1163.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ec31b0bd676984e73617ad1ae9a70936ad9715e
--- /dev/null
+++ b/results/test/parabola/problem_1163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:067a42c5b6030c857afb70152c11365bd5616736edd2775ae7b869e69b49494d
+size 190978
diff --git a/results/test/parabola/problem_1164.png b/results/test/parabola/problem_1164.png
new file mode 100644
index 0000000000000000000000000000000000000000..08609afda0d020b091f1f4569c6b3b9c93471837
--- /dev/null
+++ b/results/test/parabola/problem_1164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:231bdd7eee345265d1ed1819dae986583c9779240232e3dee314ee93633ff799
+size 197389
diff --git a/results/test/parabola/problem_1172.png b/results/test/parabola/problem_1172.png
new file mode 100644
index 0000000000000000000000000000000000000000..4acdd11b0b27fb7672f995785360fd2f7636ad35
--- /dev/null
+++ b/results/test/parabola/problem_1172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2676805d662dcb5ae6f99f623ad8b9fed43aa9688359489fae40c965c4968531
+size 189527
diff --git a/results/test/parabola/problem_1176.png b/results/test/parabola/problem_1176.png
new file mode 100644
index 0000000000000000000000000000000000000000..008d97d8a3f3d17bc41331696ba8c4b7b615dbcb
--- /dev/null
+++ b/results/test/parabola/problem_1176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc26d3d86a71eaf67f4411ff7f40cf1373bc132b406647d7e694634af7d86614
+size 189837
diff --git a/results/test/parabola/problem_1179.png b/results/test/parabola/problem_1179.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c3cc167ef12d78d9f934a37faaeb9ba9f8b0897
--- /dev/null
+++ b/results/test/parabola/problem_1179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:740346b8f46157ed43d244b510b08116228fae8809537771cc9e200840689be0
+size 175464
diff --git a/results/test/parabola/problem_1183.png b/results/test/parabola/problem_1183.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2f57f28cb6855255c89f349a939afa30acd8299
--- /dev/null
+++ b/results/test/parabola/problem_1183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b4a71f2f0576d621a04ca22c30ee342622ff78bda76a4929e220785f4e32f08
+size 166370
diff --git a/results/test/parabola/problem_1190.png b/results/test/parabola/problem_1190.png
new file mode 100644
index 0000000000000000000000000000000000000000..340b62aef27ca23bedb376213a847534c6dbb498
--- /dev/null
+++ b/results/test/parabola/problem_1190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01e3bbd225c29b52e6209640cc4b05c4d530ef68c58088494136ba5f23db3353
+size 191413
diff --git a/results/test/parabola/problem_1195.png b/results/test/parabola/problem_1195.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7199faca2289a89e023fc79fe0bff3f0b702fa4
--- /dev/null
+++ b/results/test/parabola/problem_1195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:581a768b06dc69ebd518e4cdc472115d3e49f71777c1cd27fbe9716f84689a9c
+size 189262
diff --git a/results/test/parabola/problem_1198.png b/results/test/parabola/problem_1198.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f02312fc337978d28fea4e2513b86a9394581cf
--- /dev/null
+++ b/results/test/parabola/problem_1198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7479cca62d18c2ae4b3bd9a4eeb1305f6570052c52251cd0c99ea9ddb1eabf2c
+size 190066
diff --git a/results/test/parabola/problem_1199.png b/results/test/parabola/problem_1199.png
new file mode 100644
index 0000000000000000000000000000000000000000..bad7082aced40e30236c1ea395c77b6a55063c60
--- /dev/null
+++ b/results/test/parabola/problem_1199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c75532e4eaf1c8f122018b57b9f569c1545fff93d0402c435606dd875b49c89
+size 179918
diff --git a/results/test/parabola/problem_1200.png b/results/test/parabola/problem_1200.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecf8d161d36c3f323130bf9ebac6e91b4ed6078a
--- /dev/null
+++ b/results/test/parabola/problem_1200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40d88df4927bb3cf90380ccfe6104e952775ee375f28a5442402bfb4d27536c9
+size 200458
diff --git a/results/test/parabola/problem_1201.png b/results/test/parabola/problem_1201.png
new file mode 100644
index 0000000000000000000000000000000000000000..4509453cde2e3d105900b079a787fa12043d5bd7
--- /dev/null
+++ b/results/test/parabola/problem_1201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:124cf60a9b3c9ac22d14f45ddec813a96369a0621eb0c86b7d9478066b3500cf
+size 197137
diff --git a/results/test/parabola/problem_1205.png b/results/test/parabola/problem_1205.png
new file mode 100644
index 0000000000000000000000000000000000000000..00ea18cc40667881dada5bfda4573982f38ad3a8
--- /dev/null
+++ b/results/test/parabola/problem_1205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6863cf36548dcff9db08163cbcf06e68ddd69c4593bcaaaabc82b3f28f562248
+size 201521
diff --git a/results/test/parabola/problem_1207.png b/results/test/parabola/problem_1207.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b34ed5d37e4f13ec7f83f19408f5fc46d091dd8
--- /dev/null
+++ b/results/test/parabola/problem_1207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1968ea77a1f72e192ccc9034cf9c7a3de22b50f252f095a0f46d85c9666a2a2
+size 196926
diff --git a/results/test/parabola/problem_1210.png b/results/test/parabola/problem_1210.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaff428c82c19043c71bdd973e5fed6610df35d4
--- /dev/null
+++ b/results/test/parabola/problem_1210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3515ef2416f5a05c3fbf4c7fc7bcc20c03cae7ea4adc763e0050f53dcc91410
+size 182455
diff --git a/results/test/parabola/problem_1211.png b/results/test/parabola/problem_1211.png
new file mode 100644
index 0000000000000000000000000000000000000000..13a26b38089b05cca638a671d6512f8df8aebcf7
--- /dev/null
+++ b/results/test/parabola/problem_1211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98bc7cc9c471f0d7df26a753d64d0cab82ab995d2ddcbe3f3d5207ba0a6a8b24
+size 176576
diff --git a/results/test/parabola/problem_1221.png b/results/test/parabola/problem_1221.png
new file mode 100644
index 0000000000000000000000000000000000000000..90c210802d2cd359e882e8c0a1a0170d0bf6f3b1
--- /dev/null
+++ b/results/test/parabola/problem_1221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f046ba4fcc659b41265e8dd9744278a7ce6fb6be14a74d1bfd678eb7554b96e1
+size 192380
diff --git a/results/test/parabola/problem_1224.png b/results/test/parabola/problem_1224.png
new file mode 100644
index 0000000000000000000000000000000000000000..393646f6a8f61779aaedde15b89136529227cdb4
--- /dev/null
+++ b/results/test/parabola/problem_1224.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e021fd37796925cded510006633ab6e261a49734932ba5d044157df892b5c221
+size 197496
diff --git a/results/test/parabola/problem_1226.png b/results/test/parabola/problem_1226.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c025ec0d8bec23a90da48e8842fbdc0a72ccba2
--- /dev/null
+++ b/results/test/parabola/problem_1226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b81adb4460d82bf643f695a4f377d60a668e36b51f88c7bf48a8929c9bf72ec
+size 185545
diff --git a/results/test/parabola/problem_1227.png b/results/test/parabola/problem_1227.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d9d15ec70bf1be8861ac27d9ab860bc98b60e57
--- /dev/null
+++ b/results/test/parabola/problem_1227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1869a62ea8063d5db53eb881a52295fde696350e236edba1b661275db6c37c6
+size 190918
diff --git a/results/test/parabola/problem_1228.png b/results/test/parabola/problem_1228.png
new file mode 100644
index 0000000000000000000000000000000000000000..aceac840e199a168b2633ff118ae235da96896e0
--- /dev/null
+++ b/results/test/parabola/problem_1228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81d1d72e87da63ea0c6423c86de9f559259e5a66679176cbc71e5cee43d35793
+size 186963
diff --git a/results/test/parabola/problem_1238.png b/results/test/parabola/problem_1238.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fa0483c13eb241d3d238a7312b97c53e2fcbeed
--- /dev/null
+++ b/results/test/parabola/problem_1238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b10e8629de7ac26631e27bb33329db8c594873113bb574ac02d06f496e00f47c
+size 199049
diff --git a/results/test/parabola/problem_1239.png b/results/test/parabola/problem_1239.png
new file mode 100644
index 0000000000000000000000000000000000000000..4aa2535a7e53b0040b7fc438dc70d5731283cb28
--- /dev/null
+++ b/results/test/parabola/problem_1239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e2524e1a9ffcf8ddaa2150e4ecc2f06fd320d6d6506fd676e3e7d9f7f21a211
+size 195441
diff --git a/results/test/parabola/problem_1242.png b/results/test/parabola/problem_1242.png
new file mode 100644
index 0000000000000000000000000000000000000000..39dc8884b016438ffc58dfbd9d9c5fddd0a86fb5
--- /dev/null
+++ b/results/test/parabola/problem_1242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13ddbd33032f8f86ad33c6b1bf24265f9b2a21fc8831000954600a992c7e7929
+size 187241
diff --git a/results/test/parabola/problem_1247.png b/results/test/parabola/problem_1247.png
new file mode 100644
index 0000000000000000000000000000000000000000..16d2b0efc949c756b2188e2207fa97ddac5c1896
--- /dev/null
+++ b/results/test/parabola/problem_1247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6efdf3d1bc55f5b2b9a206d3f3c764fdb19817e7f3023dd2381edbd725eab4b0
+size 190822
diff --git a/results/test/parabola/problem_1248.png b/results/test/parabola/problem_1248.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cbb64b9ad3825bcc2ff601ef064325dca3e2d3a
--- /dev/null
+++ b/results/test/parabola/problem_1248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d728e6b5090938f210e8dc077f3a89970b70e3bbadf2552e2044073694c9957
+size 192094
diff --git a/results/test/parabola/problem_1250.png b/results/test/parabola/problem_1250.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d82e14aa55c8d93010d02ae51cd68cd91e8c3e
--- /dev/null
+++ b/results/test/parabola/problem_1250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e06ca08dee4021e7f587d6c767094cbaf83ab93356e3533807c99cc235bf217
+size 193299
diff --git a/results/test/parabola/problem_1257.png b/results/test/parabola/problem_1257.png
new file mode 100644
index 0000000000000000000000000000000000000000..d421be98dbbebfbb5881ad5a2cac85d15e6e97c6
--- /dev/null
+++ b/results/test/parabola/problem_1257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93cc6bc798b7609cb289f7c1f060c96ea3183b62fddf46efedbdcb4a97c6213d
+size 194438
diff --git a/results/test/parabola/problem_1258.png b/results/test/parabola/problem_1258.png
new file mode 100644
index 0000000000000000000000000000000000000000..4de15c20a1cf7a9d24f6b878b844538c870bbf5b
--- /dev/null
+++ b/results/test/parabola/problem_1258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3073c4449248e8d1d38964ea9b67a780d6b947789c47803af28bde7bef7b0643
+size 185422
diff --git a/results/test/parabola/problem_1259.png b/results/test/parabola/problem_1259.png
new file mode 100644
index 0000000000000000000000000000000000000000..b600983ed8a2a349f39bee9115f883415bb402a0
--- /dev/null
+++ b/results/test/parabola/problem_1259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb61f5a4f0d9d686b8038eb2ec3fded3c7e21396d5e595272a2a7af4464de4db
+size 193966
diff --git a/results/test/parabola/problem_1263.png b/results/test/parabola/problem_1263.png
new file mode 100644
index 0000000000000000000000000000000000000000..357183be3983ad9a1d60568fc2e09c73d5e41f1b
--- /dev/null
+++ b/results/test/parabola/problem_1263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9496c11bb65a7781b1887b3cc5e184cd5acdcfdfd2e62fbfe5320c30c05f6ea0
+size 192490
diff --git a/results/test/parabola/problem_1264.png b/results/test/parabola/problem_1264.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed08ce38531d5379d692deab3a8988f19b47ecf5
--- /dev/null
+++ b/results/test/parabola/problem_1264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d054595d994bc854488bba8afb0b0c463b357eb4384a9d6c6cfc67183dd6c6a
+size 187145
diff --git a/results/test/parabola/problem_1267.png b/results/test/parabola/problem_1267.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e035235926cd9a2e0cdf35a5ff75f50d2f2c039
--- /dev/null
+++ b/results/test/parabola/problem_1267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69c551246ac53b9792c96564e0b21fe14a44e73e1106f6f01c8c8af4f5b18420
+size 149013
diff --git a/results/test/parabola/problem_1272.png b/results/test/parabola/problem_1272.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce744d589022e1f585c83cd5cd2c669bcfabbd75
--- /dev/null
+++ b/results/test/parabola/problem_1272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cab3ec705b4b9d89c7724c4725281d89823b52ebe1b9f79aa8040e5e5d6a8504
+size 193285
diff --git a/results/test/parabola/problem_1275.png b/results/test/parabola/problem_1275.png
new file mode 100644
index 0000000000000000000000000000000000000000..377a1acbdac3a7b02e74e7671a964e592a28a1f1
--- /dev/null
+++ b/results/test/parabola/problem_1275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2e14c6404248413510c0656c3502d0584a50873794263e5293bae423a39f653
+size 185980
diff --git a/results/test/parabola/problem_1278.png b/results/test/parabola/problem_1278.png
new file mode 100644
index 0000000000000000000000000000000000000000..f62726b5b27dcb109b9f6cb3974c894cd511885d
--- /dev/null
+++ b/results/test/parabola/problem_1278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9871434ba94a90d18848bfb4c2315dee24aeca5823cc2c5ff902eb2d49c25eb
+size 142371
diff --git a/results/test/parabola/problem_1279.png b/results/test/parabola/problem_1279.png
new file mode 100644
index 0000000000000000000000000000000000000000..48f5511a4581f8449b0d2198e7234698da3655ab
--- /dev/null
+++ b/results/test/parabola/problem_1279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04f5e79eba1ad2200a6c681033a7b5dd723876758984dd74c7c55e8fac03f44b
+size 190788
diff --git a/results/test/parabola/problem_1283.png b/results/test/parabola/problem_1283.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0e67e7259ada30b0077bb9271e1f8b05b5f3ba3
--- /dev/null
+++ b/results/test/parabola/problem_1283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea00a103cc75d012958d7510ed4e88c9576f2ad087539b1dd521af56be1f9180
+size 189877
diff --git a/results/test/parabola/problem_1286.png b/results/test/parabola/problem_1286.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc7466b3264066d6295bba7dbd55b3c95500b390
--- /dev/null
+++ b/results/test/parabola/problem_1286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df18b69b1a08133d98ed91ba7352ae7de94ca392c1b6cfc07b6cc6a3d2cc7ade
+size 206643
diff --git a/results/test/parabola/problem_1294.png b/results/test/parabola/problem_1294.png
new file mode 100644
index 0000000000000000000000000000000000000000..bee055b5feab7b3f52b1126beb9e778e96ad4ad2
--- /dev/null
+++ b/results/test/parabola/problem_1294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aebc9a9217b04ef8d81b566235d5eb88c14bf656f584fcc50dbe5154f1724299
+size 208149
diff --git a/results/test/parabola/problem_1296.png b/results/test/parabola/problem_1296.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a2f01ddd7a05b412560dca87c784ba8a30863c5
--- /dev/null
+++ b/results/test/parabola/problem_1296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:996a56ef647847b7c3cf6bc74ca6e53c9c506ac2cccfaf8fc5a55e758147c1a9
+size 203156
diff --git a/results/test/parabola/problem_1297.png b/results/test/parabola/problem_1297.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ccd247e49e854f3415597c8cd42023d96f45b2e
--- /dev/null
+++ b/results/test/parabola/problem_1297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:956737eff57d3ff3e9915dd10652ec127f0f7657dc4825fd47c32bb3cb0514e3
+size 165170
diff --git a/results/test/parabola/problem_1306.png b/results/test/parabola/problem_1306.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fee3cd899a99e4e04fb9308a53a7aa5c10da4d4
--- /dev/null
+++ b/results/test/parabola/problem_1306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80cd827476a5f617ec80c8f44320f88a49365fad02d0dc20631fc4a36999beaa
+size 196121
diff --git a/results/test/parabola/problem_1307.png b/results/test/parabola/problem_1307.png
new file mode 100644
index 0000000000000000000000000000000000000000..e27776eb82f0f739181cff83aa37551984e69e24
--- /dev/null
+++ b/results/test/parabola/problem_1307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14c4ea44e8e9fbbd2999502b1e8d8410c72dbc75a6a781451b20e8e3dbebf7dd
+size 191164
diff --git a/results/test/parabola/problem_1308.png b/results/test/parabola/problem_1308.png
new file mode 100644
index 0000000000000000000000000000000000000000..369fe12618d7b87043d0e2d7d20f1bf5606ee8c2
--- /dev/null
+++ b/results/test/parabola/problem_1308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fef46645aa93a8b53f013af0808fefd8d6d9b325810c2a6fc2b0d6322f5a710c
+size 198574
diff --git a/results/test/parabola/problem_1309.png b/results/test/parabola/problem_1309.png
new file mode 100644
index 0000000000000000000000000000000000000000..589a2f99cecce4176c2302585dbcf927ac7e0ad5
--- /dev/null
+++ b/results/test/parabola/problem_1309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b0195cd215ec473f5cf4d778eeadee7d2731a3ed44331f39f8f2d6492c8d6c1
+size 193439
diff --git a/results/test/parabola/problem_1319.png b/results/test/parabola/problem_1319.png
new file mode 100644
index 0000000000000000000000000000000000000000..baa086d976ec95950d2692e0411b02e216d5078f
--- /dev/null
+++ b/results/test/parabola/problem_1319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b1e945372ea97cbe3baf4f0e4b05cd01fc4b691fa128ecf329e00db3bf1cdc8
+size 204157
diff --git a/results/test/parabola/problem_1320.png b/results/test/parabola/problem_1320.png
new file mode 100644
index 0000000000000000000000000000000000000000..c640bf29c98d31fed1b0bdb040d6d5ffc812c236
--- /dev/null
+++ b/results/test/parabola/problem_1320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1756e5bf4b752311ed4f202c81227fe7a49cca0e1264d83a44fbade5b3c42ba5
+size 188642
diff --git a/results/test/parabola/problem_1324.png b/results/test/parabola/problem_1324.png
new file mode 100644
index 0000000000000000000000000000000000000000..946ad992187a97effe2b41ac51e6c2a253ba0d78
--- /dev/null
+++ b/results/test/parabola/problem_1324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86fcbb2e976e5c8428ebfe887a552a8bfbc4c3ab02199152920984110843b772
+size 186971
diff --git a/results/test/parabola/problem_1326.png b/results/test/parabola/problem_1326.png
new file mode 100644
index 0000000000000000000000000000000000000000..656b167774c64279a7b29d613cadda9904690b3b
--- /dev/null
+++ b/results/test/parabola/problem_1326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a94c2b41f2d223e8b692e2f4de0a83c05305ab335b88e0665b8aefc8c04f3bd8
+size 183315
diff --git a/results/test/parabola/problem_1327.png b/results/test/parabola/problem_1327.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffdb4344dd1e1607c67695951dc965ad4c86ff99
--- /dev/null
+++ b/results/test/parabola/problem_1327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34bb111bf8baae30a71dfc8da99e15aa7396c369f0d5fed4186262c997b0fb8a
+size 153093
diff --git a/results/test/parabola/problem_1328.png b/results/test/parabola/problem_1328.png
new file mode 100644
index 0000000000000000000000000000000000000000..70c8180edbd8353418dd13b4b58f079301bc20a5
--- /dev/null
+++ b/results/test/parabola/problem_1328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84badd1e115c8ed91b9c10eac02b785028a38de55e0a477fe2ac074fa4b184b4
+size 185280
diff --git a/results/test/parabola/problem_1329.png b/results/test/parabola/problem_1329.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5157df16fa21c2f0dd6571dc0526db4370964f3
--- /dev/null
+++ b/results/test/parabola/problem_1329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b192ed949b22592d9b4ba7c898db9571b81f98a8f3c5d7610800cdb7bb29f875
+size 191320
diff --git a/results/test/parabola/problem_1331.png b/results/test/parabola/problem_1331.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee08c48ac5ab461589b76253070eab973d3b1b70
--- /dev/null
+++ b/results/test/parabola/problem_1331.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37696c3d9fd855a1fd0bcf5c156210d4b5a9f615dd6278ac5a6be88ef43fc83f
+size 186709
diff --git a/results/test/parabola/problem_1334.png b/results/test/parabola/problem_1334.png
new file mode 100644
index 0000000000000000000000000000000000000000..c276416d5d6214e03197fd3a827803a325b3dd28
--- /dev/null
+++ b/results/test/parabola/problem_1334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2206e3a1fcff9c12e6d123daae3080291be4a9b56ac7d4c70c3cce6e552fb89
+size 179828
diff --git a/results/test/parabola/problem_1346.png b/results/test/parabola/problem_1346.png
new file mode 100644
index 0000000000000000000000000000000000000000..f14c0e46840c4a45bae6aa6dfc5d487300c4d024
--- /dev/null
+++ b/results/test/parabola/problem_1346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9d47818e070a4ab68af064ef2d9be518d73b0c03b9f19d5e3af0ac496a8131d
+size 186020
diff --git a/results/test/parabola/problem_1347.png b/results/test/parabola/problem_1347.png
new file mode 100644
index 0000000000000000000000000000000000000000..52071ba56a5dce7b7c230f09b9959bf66a5fceaa
--- /dev/null
+++ b/results/test/parabola/problem_1347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fc98c83232fd7be4958b75acba7483d231dbfc4fac849c8ba3a490ffda58bdd
+size 186223
diff --git a/results/test/parabola/problem_1352.png b/results/test/parabola/problem_1352.png
new file mode 100644
index 0000000000000000000000000000000000000000..94ab9fd504c88ec5638c36b3e1000ffbdbfc37fa
--- /dev/null
+++ b/results/test/parabola/problem_1352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e691ca63916c687da4ddd3bcec2d11b7fceb5db9cc2a875ce4bc0620bdd0d40e
+size 191883
diff --git a/results/test/parabola/problem_1360.png b/results/test/parabola/problem_1360.png
new file mode 100644
index 0000000000000000000000000000000000000000..76a792c1d95713199c07186b949fd8acbdbf81cc
--- /dev/null
+++ b/results/test/parabola/problem_1360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65c7d4132865867d0d9e07be0194b6895761207d5cbe3b2bc9e5ffb804f0370c
+size 191006
diff --git a/results/test/parabola/problem_1365.png b/results/test/parabola/problem_1365.png
new file mode 100644
index 0000000000000000000000000000000000000000..919a1588c7d72c2b28177505f1b3f3219c1576a9
--- /dev/null
+++ b/results/test/parabola/problem_1365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a5fef662cc6fd362b7f2fe54c0c025bbc8f28af3c4fed34e5df429bf8e13696
+size 184252
diff --git a/results/test/parabola/problem_1367.png b/results/test/parabola/problem_1367.png
new file mode 100644
index 0000000000000000000000000000000000000000..ccf19c62b92a43b6e7e94fb2f97c787a4cdff2e6
--- /dev/null
+++ b/results/test/parabola/problem_1367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82eff8c1404831dcc5c0f8e1c1204b57f6b73e7dd07aa5cfc71cd078f8613b80
+size 203745
diff --git a/results/test/parabola/problem_1376.png b/results/test/parabola/problem_1376.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6d70b62492bfbed35617a4e0f447ffd1364bf80
--- /dev/null
+++ b/results/test/parabola/problem_1376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a673c06127f56cc774be315736d7298d4861f457dec361462f048d9a94ba717b
+size 188830
diff --git a/results/test/parabola/problem_1380.png b/results/test/parabola/problem_1380.png
new file mode 100644
index 0000000000000000000000000000000000000000..81c3a7ea43fbc7d4f4e1e390294bde85c753cae9
--- /dev/null
+++ b/results/test/parabola/problem_1380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28696d3a6ea4d326077dcdc3ca2271e08faa040b869e4bb504664080f7c8b8b6
+size 176906
diff --git a/results/test/parabola/problem_1390.png b/results/test/parabola/problem_1390.png
new file mode 100644
index 0000000000000000000000000000000000000000..52c864987d4e1bd87dd1a7b84095a99f6b67b371
--- /dev/null
+++ b/results/test/parabola/problem_1390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d2128975a7656432e9d29bec6cc4692366956c4194e33edcb54f724aab6b9fe
+size 189724
diff --git a/results/test/parabola/problem_1396.png b/results/test/parabola/problem_1396.png
new file mode 100644
index 0000000000000000000000000000000000000000..e208caa5487e66d58b69d30f3addc781a941062b
--- /dev/null
+++ b/results/test/parabola/problem_1396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb199b3ad5d03e5a9f6476d890e3dcc51c6a3c45d6ccc5f5b00f4046dc8a4b0a
+size 197023
diff --git a/results/test/parabola/problem_1406.png b/results/test/parabola/problem_1406.png
new file mode 100644
index 0000000000000000000000000000000000000000..70a4b4efad6ec75a46c36ef370741d83e02edf4e
--- /dev/null
+++ b/results/test/parabola/problem_1406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8199ca644211157bbc23277e617aeee87e419d2153339ce92f416b3d52a735f7
+size 186668
diff --git a/results/test/parabola/problem_1409.png b/results/test/parabola/problem_1409.png
new file mode 100644
index 0000000000000000000000000000000000000000..adba17ae954ccc6738194fa045307d1d76e0dc4a
--- /dev/null
+++ b/results/test/parabola/problem_1409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70744926af87b7304950870af10f057462d0ba25bca3ddce07644d3fe6cbb9e8
+size 192033
diff --git a/results/test/parabola/problem_1412.png b/results/test/parabola/problem_1412.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fa60879a328e2321739cd74e0de287a9197faff
--- /dev/null
+++ b/results/test/parabola/problem_1412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5a3d85b8af5fcfdc6924c33cf730088d7504b6213459f55bb835c7b61a6f586
+size 185772
diff --git a/results/test/parabola/problem_1415.png b/results/test/parabola/problem_1415.png
new file mode 100644
index 0000000000000000000000000000000000000000..8949870a03358462e3f649171b7dc20e13b0c24d
--- /dev/null
+++ b/results/test/parabola/problem_1415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a824d3fda5a0152b0478f9612bb1f0d31f6f13c89b0f1f053e072b473cef62a0
+size 200000
diff --git a/results/test/parabola/problem_1433.png b/results/test/parabola/problem_1433.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ad18de8f9913478bf5c0faa43c0ce9bc9b42601
--- /dev/null
+++ b/results/test/parabola/problem_1433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19472484397a64c43b22794641998f93fd94d25cea51cf21d9801c49d3b1d90a
+size 184474
diff --git a/results/test/parabola/problem_1435.png b/results/test/parabola/problem_1435.png
new file mode 100644
index 0000000000000000000000000000000000000000..d92b7f1bb91075ff6195d0ef4e00fd53f3145f56
--- /dev/null
+++ b/results/test/parabola/problem_1435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c55e53f34abc5a95ea7fb986b1836840bb3a737118d324d4256ca7f648abdc4
+size 151248
diff --git a/results/test/parabola/problem_1438.png b/results/test/parabola/problem_1438.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2b927b79b8961620bf5e9a941dce4e6e8c1d958
--- /dev/null
+++ b/results/test/parabola/problem_1438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55d3860f0428a40127e4e98babdc93988ba3dc5c36daf24e29c88641a0134648
+size 199313
diff --git a/results/test/parabola/problem_1440.png b/results/test/parabola/problem_1440.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ecfeafde7ee692b91cf8b80e2847064f558a2b8
--- /dev/null
+++ b/results/test/parabola/problem_1440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c5981550e2a163fc22fd3dd6d3c209efe5456066fb31aabc75e91b86dd8f83b
+size 168828
diff --git a/results/test/parabola/problem_1441.png b/results/test/parabola/problem_1441.png
new file mode 100644
index 0000000000000000000000000000000000000000..2411903318935a3a5b9caf7ec3d0edc7f1c73219
--- /dev/null
+++ b/results/test/parabola/problem_1441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f919aab9ab6f2f01dbb205d47f5001e8f66e9eb5e3c6c7ac6291a5984edc7a95
+size 184410
diff --git a/results/test/parabola/problem_1442.png b/results/test/parabola/problem_1442.png
new file mode 100644
index 0000000000000000000000000000000000000000..1eb3cf28553fa1048ade7bde378c69a266acdfa9
--- /dev/null
+++ b/results/test/parabola/problem_1442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5712f4e6b5570368ae057912ac71152c9a00b2b5fd12998d8829c28d741777f7
+size 197172
diff --git a/results/test/parabola/problem_1448.png b/results/test/parabola/problem_1448.png
new file mode 100644
index 0000000000000000000000000000000000000000..e412f5305e86645b15927a565dd3b70176fc3d2d
--- /dev/null
+++ b/results/test/parabola/problem_1448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79d957da5bca7f5c990e2d97435e5c2ebe1fe3485bca3621626aaa39df821af0
+size 200940
diff --git a/results/test/parabola/problem_1449.png b/results/test/parabola/problem_1449.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6d2dc5885ab0a1b458b5e28862e6238548d0ab2
--- /dev/null
+++ b/results/test/parabola/problem_1449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30b5a23c6afd1b793afec81ccb91504c134ea66fcef858ad106a4ef5adeecd38
+size 192814
diff --git a/results/test/parabola/problem_1450.png b/results/test/parabola/problem_1450.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdabc23b55d8a623ef5117ee49a8d0becc83f14c
--- /dev/null
+++ b/results/test/parabola/problem_1450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd2b9b0e4d57e04a4d2b4bdf21ae3a3f5436ed1e6e0cef235215fe726be76946
+size 179933
diff --git a/results/test/parabola/problem_1456.png b/results/test/parabola/problem_1456.png
new file mode 100644
index 0000000000000000000000000000000000000000..414176b2a02437b01596d92e6e242e647811ba76
--- /dev/null
+++ b/results/test/parabola/problem_1456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a0600659aada1337a7c6b7e739e957d8d7a9918b8d8e0eda6d8fc0379005fb2
+size 189493
diff --git a/results/test/parabola/problem_1457.png b/results/test/parabola/problem_1457.png
new file mode 100644
index 0000000000000000000000000000000000000000..93dee6c9a354a6f524ad151b4a4e1651d0eb86cd
--- /dev/null
+++ b/results/test/parabola/problem_1457.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c1a5e31056b752a4858616722e3506fd36045fcfb25537e52fc42061cd62504
+size 199173
diff --git a/results/test/parabola/problem_1462.png b/results/test/parabola/problem_1462.png
new file mode 100644
index 0000000000000000000000000000000000000000..6392b2fef8a30bad43decd0bd3337c0cd7b4d2e5
--- /dev/null
+++ b/results/test/parabola/problem_1462.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8f1c721673c43b9f8a76c4dfa588caa8c82370a85ff6b3e918d20c954d0e8ec
+size 186301
diff --git a/results/test/parabola/problem_1466.png b/results/test/parabola/problem_1466.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0c394fff771a8a355f40863814606f7f31b537c
--- /dev/null
+++ b/results/test/parabola/problem_1466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dee14c104c1f38629d4fb0d4c0243ff4b5ce6c58edd7da788caf6038274c17c9
+size 196691
diff --git a/results/test/parabola/problem_1467.png b/results/test/parabola/problem_1467.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a8c3738d5a41a312319a37565e63e3cc8182a2c
--- /dev/null
+++ b/results/test/parabola/problem_1467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3c48f8c682380a5e9a394f1e809c24910b144c17299a22b19985b0f9118e295
+size 192943
diff --git a/results/test/parabola/problem_1471.png b/results/test/parabola/problem_1471.png
new file mode 100644
index 0000000000000000000000000000000000000000..34d25a308098a61ad3bb598c6c9db40216d9f460
--- /dev/null
+++ b/results/test/parabola/problem_1471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:650b7474d63e594b02758eabd9b4058c4b758b1b956b824f80bf748128f9bccc
+size 202350
diff --git a/results/test/parabola/problem_1477.png b/results/test/parabola/problem_1477.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c454bdc4970651cd354f62d3615f28f7f4f6471
--- /dev/null
+++ b/results/test/parabola/problem_1477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f80eb7f5d8c250ad595a7fd8eaeb417169d41cdfd2e6cbad9971b97b8f51a3ab
+size 193223
diff --git a/results/test/parabola/problem_1478.png b/results/test/parabola/problem_1478.png
new file mode 100644
index 0000000000000000000000000000000000000000..d484e3642234d825b1f8dce2e00b96805d014342
--- /dev/null
+++ b/results/test/parabola/problem_1478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15f68ad33436419c0571253487b9b390bbffe5264a9a413b6de2a35c07ba85bd
+size 186189
diff --git a/results/test/parabola/problem_1480.png b/results/test/parabola/problem_1480.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2b575ee220e867967fe1e3a80c69023d800195a
--- /dev/null
+++ b/results/test/parabola/problem_1480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b1351de385abf2de0089ae6d3a6da62c369ff51ceae6a574b299ff7f23da8ed
+size 194825
diff --git a/results/test/parabola/problem_1482.png b/results/test/parabola/problem_1482.png
new file mode 100644
index 0000000000000000000000000000000000000000..edecdcd09df54c1bca02a326413dc39a7875fab4
--- /dev/null
+++ b/results/test/parabola/problem_1482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f789e5bcc165bd4c4680f1d24df9c533733af0113a3e8fd6edf47c652759347a
+size 186613
diff --git a/results/test/parabola/problem_1485.png b/results/test/parabola/problem_1485.png
new file mode 100644
index 0000000000000000000000000000000000000000..6faed1377c8de0564a1ac4e35a99803c73d0fe72
--- /dev/null
+++ b/results/test/parabola/problem_1485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12089a49ede88a21475942cff4daf650e27f96a8d41a214bbee61aae5662efd9
+size 193011
diff --git a/results/test/parabola/problem_1487.png b/results/test/parabola/problem_1487.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cd05b74edc94a09cbed953f667ad29e158b6a0b
--- /dev/null
+++ b/results/test/parabola/problem_1487.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40cd3240d6f261058ca75e32f390d493d9359abefd8dbede7533545359ae55e0
+size 187802
diff --git a/results/test/parabola/problem_1489.png b/results/test/parabola/problem_1489.png
new file mode 100644
index 0000000000000000000000000000000000000000..14a18f3a78b10828a036512d42c3fce58d8e2219
--- /dev/null
+++ b/results/test/parabola/problem_1489.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76f9ac8c1e50273b66bc04c02a7fa89683af5db505edcc5971674eb476f89c27
+size 188936
diff --git a/results/test/parabola/problem_1494.png b/results/test/parabola/problem_1494.png
new file mode 100644
index 0000000000000000000000000000000000000000..21f4c949874ccdd07cd1f7a068a152b9357a3f09
--- /dev/null
+++ b/results/test/parabola/problem_1494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d33d5db8c366a68b129554344386bd16b2ec09aacbc4cfaed36d9789f38cc842
+size 193010
diff --git a/results/test/parabola/problem_1497.png b/results/test/parabola/problem_1497.png
new file mode 100644
index 0000000000000000000000000000000000000000..efb792079f85ee2b3ac58add28944ea64bf84269
--- /dev/null
+++ b/results/test/parabola/problem_1497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6dac77c5e0ecc750b879f8e1623868755c71f2cd50c3079317718566e799b09
+size 189183
diff --git a/results/test/parabola/problem_1503.png b/results/test/parabola/problem_1503.png
new file mode 100644
index 0000000000000000000000000000000000000000..43a94a728a0860f94e4b2c9950f82225944201da
--- /dev/null
+++ b/results/test/parabola/problem_1503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ac64258be12949ac6534bda67012a7cb8a4221860ef1ec337d01e513b85c0e0
+size 188836
diff --git a/results/test/parabola/problem_1510.png b/results/test/parabola/problem_1510.png
new file mode 100644
index 0000000000000000000000000000000000000000..89da5a3866ffeac3f8dbe9979f68a0f3fdaa5996
--- /dev/null
+++ b/results/test/parabola/problem_1510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3897864ecd131d038ea3c0fce6023b3f89a1b8ceef37317dddbd78c3f563eb50
+size 167866
diff --git a/results/test/parabola/problem_1514.png b/results/test/parabola/problem_1514.png
new file mode 100644
index 0000000000000000000000000000000000000000..00b91eef02548ba07fe5c0c0b2c1bf46a059e65c
--- /dev/null
+++ b/results/test/parabola/problem_1514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31b55ddceacd13a1b661c2996d96c546036c3e2fd7b6042bcb06de4e52833885
+size 169129
diff --git a/results/test/parabola/problem_1519.png b/results/test/parabola/problem_1519.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b9b9b88d1ac0c18faae0783c2269422b522c7cd
--- /dev/null
+++ b/results/test/parabola/problem_1519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66f51fe678e32beec7f33f9a645a19c1a2fcadbb65365f4c923932aae2f5ab24
+size 189824
diff --git a/results/test/parabola/problem_1521.png b/results/test/parabola/problem_1521.png
new file mode 100644
index 0000000000000000000000000000000000000000..16202620dc5ce66731014c269f13775864cf1e39
--- /dev/null
+++ b/results/test/parabola/problem_1521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7478e902a4b01247bc90c3372f315e650a90eb14cb4b83c1ec0e15347f9632b7
+size 187774
diff --git a/results/test/parabola/problem_1522.png b/results/test/parabola/problem_1522.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a710dba2f94e6577aa0583b26edd7b48d181e9c
--- /dev/null
+++ b/results/test/parabola/problem_1522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a7e30f0a3b8d652f18f7a1d48695ca99bd5e2f39821c312b25705fc66f49ef1
+size 194635
diff --git a/results/test/parabola/problem_1528.png b/results/test/parabola/problem_1528.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce1f32d4b920e8e41e0abd7b6722b503109617b3
--- /dev/null
+++ b/results/test/parabola/problem_1528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4558adf691497f992d000561fc67578494e4f57ef5a6da3e4b5f6f17196b0077
+size 196140
diff --git a/results/test/parabola/problem_1537.png b/results/test/parabola/problem_1537.png
new file mode 100644
index 0000000000000000000000000000000000000000..30d89b8e4a378c3e930f45342ab12c6861baca9f
--- /dev/null
+++ b/results/test/parabola/problem_1537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53d6c2ce49682b299c45671476efff681908a31bf6429bee41aafd8b25c70a3e
+size 206894
diff --git a/results/test/parabola/problem_1542.png b/results/test/parabola/problem_1542.png
new file mode 100644
index 0000000000000000000000000000000000000000..72c208a0ea192137379fe07c78da2f256303b9b3
--- /dev/null
+++ b/results/test/parabola/problem_1542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a17dd4ef3962a68610c131da83886b8bd153b6ffe7021eefa5f1d6aec492b9a
+size 189176
diff --git a/results/test/parabola/problem_1545.png b/results/test/parabola/problem_1545.png
new file mode 100644
index 0000000000000000000000000000000000000000..2866766a0e802f99cbbd94ef0309ec4f6ad2eb60
--- /dev/null
+++ b/results/test/parabola/problem_1545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56689f97e39caea45588e7856daeaebb854bc3277ce3902bd11d3c7f7da1eaae
+size 198469
diff --git a/results/test/parabola/problem_1548.png b/results/test/parabola/problem_1548.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ca56f13a6a16920f58943f25939420c2f9e0989
--- /dev/null
+++ b/results/test/parabola/problem_1548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74274909f2454d241814c7f15efe42079c29fe747ff7b51edfe1cc7bd157160b
+size 190324
diff --git a/results/test/parabola/problem_1552.png b/results/test/parabola/problem_1552.png
new file mode 100644
index 0000000000000000000000000000000000000000..54fbcb11b05e6c668345496362a7b191f1757e5c
--- /dev/null
+++ b/results/test/parabola/problem_1552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b369a20358b26dd673d7b877d120cc5b82f2d4a35f4155c14826ad3f8aba785b
+size 185178
diff --git a/results/test/parabola/problem_1558.png b/results/test/parabola/problem_1558.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a389f6fcd017b11ab58f56ba475288ff5e8a296
--- /dev/null
+++ b/results/test/parabola/problem_1558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04b3577a1c4de7a66c6618e7129ab0fb31392a3d89fb13d1e2228b91dad10e16
+size 191459
diff --git a/results/test/parabola/problem_1561.png b/results/test/parabola/problem_1561.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c360dce5f9c8f4695847e3405bcc25b38024df8
--- /dev/null
+++ b/results/test/parabola/problem_1561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96719ad359426a32a79e867e2f5385308b61fff22f660ca3ed3bfe0e2410ccab
+size 167113
diff --git a/results/test/parabola/problem_1562.png b/results/test/parabola/problem_1562.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d6c76ab475d7c8971f64df0c018fdb5323b47c2
--- /dev/null
+++ b/results/test/parabola/problem_1562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eff723fc33beb425e971995967dbbd3c731f68ddf94c66e318a7edb5a3b177e7
+size 163322
diff --git a/results/test/parabola/problem_1563.png b/results/test/parabola/problem_1563.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ec3201ecc615abd775d37292302a61c1c3af26a
--- /dev/null
+++ b/results/test/parabola/problem_1563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:266f30dbd715bd8693e9ada8bf62cb5acb0575c4e52df2a6089d6607851febfd
+size 187839
diff --git a/results/test/parabola/problem_1570.png b/results/test/parabola/problem_1570.png
new file mode 100644
index 0000000000000000000000000000000000000000..93bb22af77f7b7f3e207526d59304c7c2309aabe
--- /dev/null
+++ b/results/test/parabola/problem_1570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75989944821376b726d1fe84009446c160affc835ea531f54f9ff4f4df5041ba
+size 159917
diff --git a/results/test/parabola/problem_1572.png b/results/test/parabola/problem_1572.png
new file mode 100644
index 0000000000000000000000000000000000000000..58a63f8b32a70541b9982abfc8527b2893d0bbfc
--- /dev/null
+++ b/results/test/parabola/problem_1572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f54609f33e2e4fa313179e652cdd08b5e8aba78db8fcfd40337ab6f4e18f33
+size 188705
diff --git a/results/test/parabola/problem_1574.png b/results/test/parabola/problem_1574.png
new file mode 100644
index 0000000000000000000000000000000000000000..f55efae11613eb498b0fe237286aef4f67dd37ad
--- /dev/null
+++ b/results/test/parabola/problem_1574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0167c8548f27a6810f59b3589d39ee088a026867bc5c3c24613b741c592e71de
+size 191542
diff --git a/results/test/parabola/problem_1576.png b/results/test/parabola/problem_1576.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb6460d9a1ed40d3f21c60dc77645537fd9150d7
--- /dev/null
+++ b/results/test/parabola/problem_1576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccc270c23552d2db724f3b597558239d9329f9edfc516d38f77d7da5cd3184aa
+size 187831
diff --git a/results/test/parabola/problem_1577.png b/results/test/parabola/problem_1577.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b1462eb5e7bb7d2903c4a3a971f737cb122e6a9
--- /dev/null
+++ b/results/test/parabola/problem_1577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:517e070a45f9b336ff0024347d66c8f515f7e6e100ba6efce1012a2e21ae1b6c
+size 193333
diff --git a/results/test/parabola/problem_1580.png b/results/test/parabola/problem_1580.png
new file mode 100644
index 0000000000000000000000000000000000000000..5890f8edac48f8ee020d3fdc9436ab255a06a203
--- /dev/null
+++ b/results/test/parabola/problem_1580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:012da47a1aedbce706fd1598c87401834e1a1c166eba5dab2b557fd65e6ad34c
+size 183672
diff --git a/results/test/parabola/problem_1588.png b/results/test/parabola/problem_1588.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebc2d70cf4a84215227b543f456ca060689113a4
--- /dev/null
+++ b/results/test/parabola/problem_1588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66617be6b2ec4e63f3256b7f5bf75183fc05c51227ea9534d59d18dc38802723
+size 164117
diff --git a/results/test/parabola/problem_1590.png b/results/test/parabola/problem_1590.png
new file mode 100644
index 0000000000000000000000000000000000000000..70e7ac34594d0fcddaaa5a53f85c5cd04ebb7b90
--- /dev/null
+++ b/results/test/parabola/problem_1590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:718d8cd7962983d501869417638402cb4884b9218452ed143a305355fb9cdaec
+size 186267
diff --git a/results/test/parabola/problem_1600.png b/results/test/parabola/problem_1600.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef35101dac8e9119ccfad90e1bd9341418adf9de
--- /dev/null
+++ b/results/test/parabola/problem_1600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40efb78ec5be9c3340c39e354e5bd5662bcf377e462e4f5fe83c265d6b523c71
+size 191784
diff --git a/results/test/parabola/problem_1602.png b/results/test/parabola/problem_1602.png
new file mode 100644
index 0000000000000000000000000000000000000000..18f5cabda38836d1eaa4cb2a8d7ee353ee158b0b
--- /dev/null
+++ b/results/test/parabola/problem_1602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:532b649a31960262b9b7df14bd93ca50b93d8ee6974f1a3568500ac88d222833
+size 177377
diff --git a/results/test/parabola/problem_1615.png b/results/test/parabola/problem_1615.png
new file mode 100644
index 0000000000000000000000000000000000000000..b478121b4aeb0801f22ccb9d84a3fe78f250e692
--- /dev/null
+++ b/results/test/parabola/problem_1615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a95aa5d93bf6c9c92753ff0fe26d4815d282cc296879bc2b3497371b66c32dd8
+size 195752
diff --git a/results/test/parabola/problem_1620.png b/results/test/parabola/problem_1620.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d7109c1210a2111901c203e649e879ecbb80efb
--- /dev/null
+++ b/results/test/parabola/problem_1620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:def276b30d9e5a9d7dcf703d3a2593ec0a4a5cff4b724824c6e7015bbf75fe98
+size 198344
diff --git a/results/test/parabola/problem_1624.png b/results/test/parabola/problem_1624.png
new file mode 100644
index 0000000000000000000000000000000000000000..6533fee2eedb854766d790ae6ba0c0df6012d239
--- /dev/null
+++ b/results/test/parabola/problem_1624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8b9a927819554f179d2317d91ce0e473e550546987a48e568e5adc8ed52a4ba
+size 202972
diff --git a/results/test/parabola/problem_1629.png b/results/test/parabola/problem_1629.png
new file mode 100644
index 0000000000000000000000000000000000000000..c34040b29e3995e965a0e1cd5d0bc213167e294c
--- /dev/null
+++ b/results/test/parabola/problem_1629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afda4aa8966a06d103b02de13e1002ed1e87d944947c4e69e02c3384b91b6508
+size 190620
diff --git a/results/test/parabola/problem_1642.png b/results/test/parabola/problem_1642.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb372196a629094b8a474218a4fc251fc06fab15
--- /dev/null
+++ b/results/test/parabola/problem_1642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16100d74dad42a9ae1c23762f3f8e6b2577fc8ae2a2980bda151a83e70f5143b
+size 214523
diff --git a/results/test/parabola/problem_1647.png b/results/test/parabola/problem_1647.png
new file mode 100644
index 0000000000000000000000000000000000000000..94ab9fd504c88ec5638c36b3e1000ffbdbfc37fa
--- /dev/null
+++ b/results/test/parabola/problem_1647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e691ca63916c687da4ddd3bcec2d11b7fceb5db9cc2a875ce4bc0620bdd0d40e
+size 191883
diff --git a/results/test/parabola/problem_1648.png b/results/test/parabola/problem_1648.png
new file mode 100644
index 0000000000000000000000000000000000000000..aceac840e199a168b2633ff118ae235da96896e0
--- /dev/null
+++ b/results/test/parabola/problem_1648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81d1d72e87da63ea0c6423c86de9f559259e5a66679176cbc71e5cee43d35793
+size 186963
diff --git a/results/test/parabola/problem_1650.png b/results/test/parabola/problem_1650.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5a0a15866b57e46835fa3a48be9fb6bf8f6eeec
--- /dev/null
+++ b/results/test/parabola/problem_1650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d39a44ecf376c37b0dfc7f55819d9208389f9cc50be9b6b21e6a790957aa960
+size 184144
diff --git a/results/test/parabola/problem_1653.png b/results/test/parabola/problem_1653.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba480ce6ad97b4c3b6491950af95ecf00378f55b
--- /dev/null
+++ b/results/test/parabola/problem_1653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:917e1d19222d5af2fa836a583efdf7dfaef9321876b21f904f3fb9805935bdc2
+size 187543
diff --git a/results/test/parabola/problem_1655.png b/results/test/parabola/problem_1655.png
new file mode 100644
index 0000000000000000000000000000000000000000..1337a0355915bd8b9501f71bbd12ea2189dbf9ea
--- /dev/null
+++ b/results/test/parabola/problem_1655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe5d5967bd4be27523aa3fd81769311c38ab9c96b8f55b6495324e5b8637d3dc
+size 188413
diff --git a/results/test/parabola/problem_1658.png b/results/test/parabola/problem_1658.png
new file mode 100644
index 0000000000000000000000000000000000000000..37045055886fdfdfb6dc7fcec283bff061c7ab4d
--- /dev/null
+++ b/results/test/parabola/problem_1658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b67b2cc3454c0788b588430aa964acd3acb547aafb1eb405dfa34b95df43716c
+size 203820
diff --git a/results/test/parabola/problem_1668.png b/results/test/parabola/problem_1668.png
new file mode 100644
index 0000000000000000000000000000000000000000..d91d077e40121fd879a8490a91f83be01c58fe01
--- /dev/null
+++ b/results/test/parabola/problem_1668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6ceb293b639e9b5cc47a603235322b6551f9d70a8a8f21af50c4983379c8779
+size 193105
diff --git a/results/test/parabola/problem_1671.png b/results/test/parabola/problem_1671.png
new file mode 100644
index 0000000000000000000000000000000000000000..06a7f91c6dc767f35f0528ab911dfc0f5f84faef
--- /dev/null
+++ b/results/test/parabola/problem_1671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0f234629e6a290d7e3739a0f7e8a2f67c29d52b4344d9e9a760ae82f77f5c75
+size 204322
diff --git a/results/test/parabola/problem_1674.png b/results/test/parabola/problem_1674.png
new file mode 100644
index 0000000000000000000000000000000000000000..9dc88080c5ff7e3260e9b34411b71a2c45b842a3
--- /dev/null
+++ b/results/test/parabola/problem_1674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21ec077c45301629404b5c8723ba0d81a10f20631ddd0be574cc69b03aca9d57
+size 178923
diff --git a/results/test/parabola/problem_1676.png b/results/test/parabola/problem_1676.png
new file mode 100644
index 0000000000000000000000000000000000000000..7080b6738744d51f9aee64bb2e68b75cda83e43a
--- /dev/null
+++ b/results/test/parabola/problem_1676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b29bf001c0387814287588b82d2f8e4aaebb151eaa454cb13b49ba0447078713
+size 190316
diff --git a/results/test/parabola/problem_1683.png b/results/test/parabola/problem_1683.png
new file mode 100644
index 0000000000000000000000000000000000000000..82852ad95629a37bdc7a14984b6c9d0d3847ca61
--- /dev/null
+++ b/results/test/parabola/problem_1683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f07f1176cc9cdb364f9d285ba7744317f7cefb61786bc7d5a40d08de981f877
+size 197438
diff --git a/results/test/parabola/problem_1684.png b/results/test/parabola/problem_1684.png
new file mode 100644
index 0000000000000000000000000000000000000000..80ca1e799128d7ddb2efaea7ac3f8a17e7eaef5e
--- /dev/null
+++ b/results/test/parabola/problem_1684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91e9490a94de927fac04e9e901ccde51d073c985707f7adee6916a80d4871e9b
+size 177537
diff --git a/results/test/parabola/problem_1691.png b/results/test/parabola/problem_1691.png
new file mode 100644
index 0000000000000000000000000000000000000000..17627213dcee1e328d32fecf8755f9e5289bfe0c
--- /dev/null
+++ b/results/test/parabola/problem_1691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95d9a38f446f3bf2ce506a15e696df51a301c949f95f18140c85b16fff980677
+size 185368
diff --git a/results/test/parabola/problem_1692.png b/results/test/parabola/problem_1692.png
new file mode 100644
index 0000000000000000000000000000000000000000..298907c53541a66491599e61cc3a121c531e636b
--- /dev/null
+++ b/results/test/parabola/problem_1692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54bb5294ea843eacebad054848613a30169b73c617684ce8bf1ef1dae0749b32
+size 202144
diff --git a/results/test/parabola/problem_1694.png b/results/test/parabola/problem_1694.png
new file mode 100644
index 0000000000000000000000000000000000000000..df62d794a983fa62dda1e27e6e13466852302aca
--- /dev/null
+++ b/results/test/parabola/problem_1694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7339b12db802c7440b79a339d9eb9c199cc8f936c540b9b188304b56386d578f
+size 182069
diff --git a/results/test/parabola/problem_1695.png b/results/test/parabola/problem_1695.png
new file mode 100644
index 0000000000000000000000000000000000000000..962f2230c76c619e7a724d04e643dfe12bbef5de
--- /dev/null
+++ b/results/test/parabola/problem_1695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7169f9fbf97b10e71558385ca9df09256d5a6151c623ffeadb7916896e413504
+size 191452
diff --git a/results/test/parabola/problem_1697.png b/results/test/parabola/problem_1697.png
new file mode 100644
index 0000000000000000000000000000000000000000..70e2dd727b35eaf95a099f797fe314a55395cb77
--- /dev/null
+++ b/results/test/parabola/problem_1697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82f4f7a6dd83f2941dadd0d64385c3c393ea7ea958ef58499a0437e31064fa5c
+size 190603
diff --git a/results/test/parabola/problem_1711.png b/results/test/parabola/problem_1711.png
new file mode 100644
index 0000000000000000000000000000000000000000..8feaaa4524f26b1f1eaabce12c6f436a6c27bfc7
--- /dev/null
+++ b/results/test/parabola/problem_1711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06f166a01630a9e53b294add008ad18c3fa5bcc30b94000160f6e904038f01e9
+size 189023
diff --git a/results/test/parabola/problem_1714.png b/results/test/parabola/problem_1714.png
new file mode 100644
index 0000000000000000000000000000000000000000..58a8a82d09d6af8f93353e0f504fa5342495da96
--- /dev/null
+++ b/results/test/parabola/problem_1714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a00b2b0bc094902bbcb48ce16d0acf6aa5042928bba56cfb8dc2d584aecaeecb
+size 180972
diff --git a/results/test/parabola/problem_1717.png b/results/test/parabola/problem_1717.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4dd6e0ad5a61d622ba63f97aebe9c43d19b7f67
--- /dev/null
+++ b/results/test/parabola/problem_1717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d67f47388e6431a2a588b97da6eb596d09506f8e48f55aadc081b1b45b97d9a6
+size 209414
diff --git a/results/test/parabola/problem_1728.png b/results/test/parabola/problem_1728.png
new file mode 100644
index 0000000000000000000000000000000000000000..abfbee1ace402aa2c1e11b2463eb904983905773
--- /dev/null
+++ b/results/test/parabola/problem_1728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b10b55bdbb407ebbff4d432c7a5231a6e0b60cb3f04b354bb7032c7953094cab
+size 163579
diff --git a/results/test/parabola/problem_1730.png b/results/test/parabola/problem_1730.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a002d112496f502b8e19811407a6e2c38f871c5
--- /dev/null
+++ b/results/test/parabola/problem_1730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18c7593649d3b117c471245f0ba394af147b2966b9b0143658a1990a607eabd0
+size 192919
diff --git a/results/test/parabola/problem_1736.png b/results/test/parabola/problem_1736.png
new file mode 100644
index 0000000000000000000000000000000000000000..abfdf3ec05b58dd1a2feede9543ebd4bec28b745
--- /dev/null
+++ b/results/test/parabola/problem_1736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc4e2b8989978e5d0aa7f9e37235777cb4982ed82ed3143a4bfcf3161ee69a73
+size 196147
diff --git a/results/test/parabola/problem_1738.png b/results/test/parabola/problem_1738.png
new file mode 100644
index 0000000000000000000000000000000000000000..95b2fe57c6abc2d18aad6ed5ccb5f0b5d8ab4a38
--- /dev/null
+++ b/results/test/parabola/problem_1738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:20d066bbb5ef24f3396bcbbb4a648202d031b294df503b19b63b97d8a5b4e237
+size 185242
diff --git a/results/test/parabola/problem_1741.png b/results/test/parabola/problem_1741.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6026238a1c37b3ae7ab33843a5fb3bd54b045b9
--- /dev/null
+++ b/results/test/parabola/problem_1741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5597a54681d2e53a740b63ec9c00910b713105b82770d9f4b9fad54f7a259b2
+size 188121
diff --git a/results/test/parabola/problem_1742.png b/results/test/parabola/problem_1742.png
new file mode 100644
index 0000000000000000000000000000000000000000..6be440aa978bbcf4ef8e18417081d72322f259d0
--- /dev/null
+++ b/results/test/parabola/problem_1742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8facfdc261836de4677a65ce515711c6252e6fdebe50cf495652e55eb8450499
+size 204491
diff --git a/results/test/parabola/problem_1753.png b/results/test/parabola/problem_1753.png
new file mode 100644
index 0000000000000000000000000000000000000000..1bfc16d2de31a78d7dc24257a89e50e92649c7b3
--- /dev/null
+++ b/results/test/parabola/problem_1753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28c081942a8ef5dad70bd9b59ccf2887f1bf6c2e6e5f3b9c9de0ed0d510d3622
+size 179723
diff --git a/results/test/parabola/problem_1756.png b/results/test/parabola/problem_1756.png
new file mode 100644
index 0000000000000000000000000000000000000000..aea95d8da6d0c65a46cd1902bc87f81bc59b25ad
--- /dev/null
+++ b/results/test/parabola/problem_1756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14ccc56dcd4dd4066e5ee0cfea98a9d2d15765dcfe2b7de33e9435073745a0b8
+size 186975
diff --git a/results/test/parabola/problem_1760.png b/results/test/parabola/problem_1760.png
new file mode 100644
index 0000000000000000000000000000000000000000..2018e1b5acf40cb3695f60d60edb9e1cd5b6baf3
--- /dev/null
+++ b/results/test/parabola/problem_1760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a0378eadd8e7552394a9711c58bba4074e02751782799e399fcabef2931c6eb
+size 192188
diff --git a/results/test/parabola/problem_1763.png b/results/test/parabola/problem_1763.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c0b224a8220f5569f414d2336984c5569a0b74d
--- /dev/null
+++ b/results/test/parabola/problem_1763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:748bf4d697a83af797a0bc782f2b7efc49dcc3a0a570622390695a081c5a84e7
+size 186222
diff --git a/results/test/parabola/problem_1766.png b/results/test/parabola/problem_1766.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5def4aa356dd30897c538c6ca13647b6d4c5953
--- /dev/null
+++ b/results/test/parabola/problem_1766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38bcfc740ea44a314b8893d514b0f4da320b07c374cf8106d31dbf752233b9ba
+size 183773
diff --git a/results/test/parabola/problem_1767.png b/results/test/parabola/problem_1767.png
new file mode 100644
index 0000000000000000000000000000000000000000..bdacec429adf188c30c7227e35ce186024d8394f
--- /dev/null
+++ b/results/test/parabola/problem_1767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc6ab812faeb71a1c7243af1ce415709beeb4c53c1d4af7ed9a3dc07cfeff123
+size 187432
diff --git a/results/test/parabola/problem_1768.png b/results/test/parabola/problem_1768.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e33c0f5d3337f42ef1adddbc85086a42f5b4276
--- /dev/null
+++ b/results/test/parabola/problem_1768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f71455be6a82504f57526f19eaf9e43eff8e4a6e1fe6d6130234112a78ba647
+size 188015
diff --git a/results/test/parabola/problem_1772.png b/results/test/parabola/problem_1772.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe949579f94515bb430c1b9f905d63b461505b75
--- /dev/null
+++ b/results/test/parabola/problem_1772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:805312571dfd49ba77257ded2abae24473c9d22793ca034cb969da4de0a190b1
+size 197959
diff --git a/results/test/parabola/problem_1776.png b/results/test/parabola/problem_1776.png
new file mode 100644
index 0000000000000000000000000000000000000000..870c231e18432b206a4ed964589e36f170efe40e
--- /dev/null
+++ b/results/test/parabola/problem_1776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3eea6ed4cf4ac7868441d46784ef28f7482e0138eedab0c67ea75b61dae18063
+size 187168
diff --git a/results/test/parabola/problem_1778.png b/results/test/parabola/problem_1778.png
new file mode 100644
index 0000000000000000000000000000000000000000..87378e36fb519c779a0d46332b728e1ee8c81a8f
--- /dev/null
+++ b/results/test/parabola/problem_1778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c1a8f85fe643fd2f49c47280ba66940035e41b39653fbd448a185eae8475637
+size 190218
diff --git a/results/test/parabola/problem_1780.png b/results/test/parabola/problem_1780.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ead391f79d452be8699d029cc5402f2b52d0b4d
--- /dev/null
+++ b/results/test/parabola/problem_1780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3334dc3cf9ebd1ca7b8e82a74155f9d972c1ae6dc25c9b99b7b552f6d1b389f
+size 191355
diff --git a/results/test/parabola/problem_1782.png b/results/test/parabola/problem_1782.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b7479643c40f77265c452aebd2e82778067cd55
--- /dev/null
+++ b/results/test/parabola/problem_1782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a2ca25cdcfe83a824307b4ea60759ea0d9170debae68f8298faf784c4fbbc33
+size 193046
diff --git a/results/test/parabola/problem_1785.png b/results/test/parabola/problem_1785.png
new file mode 100644
index 0000000000000000000000000000000000000000..64005a2f18e76fda3b4ba5e1b88192f5f0642040
--- /dev/null
+++ b/results/test/parabola/problem_1785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84cce29a56118aa6314d68c1c0f0a3252fbfb4871ba94f2b272df91520d1a96e
+size 191748
diff --git a/results/test/parabola/problem_1787.png b/results/test/parabola/problem_1787.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7ea1a5c1adc4c938c57b98655c90c5c289672e6
--- /dev/null
+++ b/results/test/parabola/problem_1787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b53f2af44ee9ec3edc311ae0b95c46cae68315df255e3f75426d4f7cc1c6cb4f
+size 191750
diff --git a/results/test/parabola/problem_1788.png b/results/test/parabola/problem_1788.png
new file mode 100644
index 0000000000000000000000000000000000000000..805744615930c2569dde0df516d45b29617d31a6
--- /dev/null
+++ b/results/test/parabola/problem_1788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f02211a6181c32ea629647df889495ec2ad6207cb6f1f5ce800ee12ac74d4e9
+size 190650
diff --git a/results/test/parabola/problem_1793.png b/results/test/parabola/problem_1793.png
new file mode 100644
index 0000000000000000000000000000000000000000..2097b3e7798fbeb9fcc3e2ac9c1c9f555f94064a
--- /dev/null
+++ b/results/test/parabola/problem_1793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26cbaf3a043a01e56d31b8b4263f9fa4e079dc381b54b05097bfe534dfed9e9f
+size 194273
diff --git a/results/test/parabola/problem_1794.png b/results/test/parabola/problem_1794.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf015a51db2bd7e633e7b7dc2cf52a9ff2f13cd5
--- /dev/null
+++ b/results/test/parabola/problem_1794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e477a7421e70fd03fa4e08027d6c7209c01b3292322d1d63bd19b65d1838b7de
+size 191049
diff --git a/results/test/parabola/problem_1796.png b/results/test/parabola/problem_1796.png
new file mode 100644
index 0000000000000000000000000000000000000000..95dbb53fb3beaadf9b4ff6f37f5c477a1ad12a60
--- /dev/null
+++ b/results/test/parabola/problem_1796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e372fda47d08628def465af8c927820c4eb0626cdebe44be31ca6cd5d13fecaa
+size 191393
diff --git a/results/test/parabola/problem_1808.png b/results/test/parabola/problem_1808.png
new file mode 100644
index 0000000000000000000000000000000000000000..03f4d08f86550045ed4fee7c59902d27ff8498e6
--- /dev/null
+++ b/results/test/parabola/problem_1808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53c2a1d4684478548e547323bd6881b62b708e0faf9eca35addf742e106f240d
+size 201217
diff --git a/results/test/parabola/problem_1809.png b/results/test/parabola/problem_1809.png
new file mode 100644
index 0000000000000000000000000000000000000000..d533e34a317c60b17b5049a60d1c7421db19a0ae
--- /dev/null
+++ b/results/test/parabola/problem_1809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b7df42db9dce5ee041d99547714a3c6eb81d0da2f1f8ff270c6633c7c6ba24f
+size 193601
diff --git a/results/test/parabola/problem_1812.png b/results/test/parabola/problem_1812.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a29bab9e92b8d3577f36964f04ef7ef6a4ea8ee
--- /dev/null
+++ b/results/test/parabola/problem_1812.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:135d0a7d5828fcf859380c585ddc9c6ab18b43f6740e1ffd030246a8ae3c1592
+size 191533
diff --git a/results/test/parabola/problem_1813.png b/results/test/parabola/problem_1813.png
new file mode 100644
index 0000000000000000000000000000000000000000..50a3fb75fd19c7cbdf451528ad65516c996d2373
--- /dev/null
+++ b/results/test/parabola/problem_1813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fb585cf123873edbe20edeac058adc1d27bf15f513e4149dce0aeff5eceb6d3
+size 190403
diff --git a/results/test/parabola/problem_1817.png b/results/test/parabola/problem_1817.png
new file mode 100644
index 0000000000000000000000000000000000000000..3123a081d21159d42b6b79f258673898af0557bb
--- /dev/null
+++ b/results/test/parabola/problem_1817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb26ffdd3bc9ae033067e1fc3cff811c6f44660af17fb3d2ac3f8a9c2b87e36b
+size 188949
diff --git a/results/test/parabola/problem_1818.png b/results/test/parabola/problem_1818.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec521f50c0caa1cfc1453e34b79c4d6f2203f4c9
--- /dev/null
+++ b/results/test/parabola/problem_1818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97a571b5d9caecab8641d169afe44b20bfcc04fff2250f2c19898dbb810ce9b4
+size 190896
diff --git a/results/test/parabola/problem_1820.png b/results/test/parabola/problem_1820.png
new file mode 100644
index 0000000000000000000000000000000000000000..df5f1accf3db056dcd9a12884b041be419ad653c
--- /dev/null
+++ b/results/test/parabola/problem_1820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24ebca1d6a3313b7aef5524057cea85b2e29b568913848d381b381cdb50aefc3
+size 199184
diff --git a/results/test/parabola/problem_1825.png b/results/test/parabola/problem_1825.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b9eccf229e345c8a092f9e86d7f334c63f40367
--- /dev/null
+++ b/results/test/parabola/problem_1825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e90892f52913d7ee9c461fc437fbf99d77300c5e84c9dbb77b57fe98d1dc333
+size 201018
diff --git a/results/test/parabola/problem_1827.png b/results/test/parabola/problem_1827.png
new file mode 100644
index 0000000000000000000000000000000000000000..c715aed2157f26187b43395b5b54bcbe34c836a8
--- /dev/null
+++ b/results/test/parabola/problem_1827.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22c6f48d657db14b2ae5dc886056475ba559e6a411b80cc6897ae093f463c2c2
+size 190909
diff --git a/results/test/parabola/problem_1828.png b/results/test/parabola/problem_1828.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4766a590e97c5ef17c6262d471b8d7b949cfcd0
--- /dev/null
+++ b/results/test/parabola/problem_1828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:925a2444ffce2f6384a0335192619b89a471f7ea1bcf7834f5b0f1efb8e74a91
+size 185319
diff --git a/results/test/parabola/problem_1840.png b/results/test/parabola/problem_1840.png
new file mode 100644
index 0000000000000000000000000000000000000000..3daa9fb0e302776b85b58772bb22a36aa510a5c1
--- /dev/null
+++ b/results/test/parabola/problem_1840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acbbbc2b5cf4c5b7ce16b88d7bf3f2ea5effc9cce8929fb15df1115164bdbd0e
+size 192013
diff --git a/results/test/parabola/problem_1841.png b/results/test/parabola/problem_1841.png
new file mode 100644
index 0000000000000000000000000000000000000000..64b91931f10760970513cbf6ac7e75222138d6d5
--- /dev/null
+++ b/results/test/parabola/problem_1841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aea0bd35f948666a831eac73870398a9f3aaed8df0a5188176463a63729ef447
+size 189564
diff --git a/results/test/parabola/problem_1842.png b/results/test/parabola/problem_1842.png
new file mode 100644
index 0000000000000000000000000000000000000000..16779855b77b584ab0db193d2704813de6108916
--- /dev/null
+++ b/results/test/parabola/problem_1842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebd5c22eed490ff84d82694fa01095fbd8cfc91c600ae61199bbeeeb08b1c1f4
+size 185894
diff --git a/results/test/parabola/problem_1845.png b/results/test/parabola/problem_1845.png
new file mode 100644
index 0000000000000000000000000000000000000000..97acc20370dda1b583eba4a6713e052a03f96238
--- /dev/null
+++ b/results/test/parabola/problem_1845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b724b9ecf3cd64e5e7c3df53cdd9c2b920ad7455bcfa07eac3fbe0bd65fab74d
+size 203850
diff --git a/results/test/parabola/problem_1851.png b/results/test/parabola/problem_1851.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4ef329b203c0d7d895976178ae4ba71e7b01991
--- /dev/null
+++ b/results/test/parabola/problem_1851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5936efee822b8f17aab4f43477e1911e4a16126dbd9c342f4306d534a030b669
+size 189554
diff --git a/results/test/parabola/problem_1855.png b/results/test/parabola/problem_1855.png
new file mode 100644
index 0000000000000000000000000000000000000000..377725e2bd821e73f17fd34b78a8ff578b4bd6d2
--- /dev/null
+++ b/results/test/parabola/problem_1855.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a60a178f12c27bc81be647bb5bf6e7707ee8c39a927f32d89308981b7c887df2
+size 172135
diff --git a/results/test/parabola/problem_1858.png b/results/test/parabola/problem_1858.png
new file mode 100644
index 0000000000000000000000000000000000000000..28bea5008b2a4b854d20dc5951cc7535b218550c
--- /dev/null
+++ b/results/test/parabola/problem_1858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59ea98a3af0eda09bd283f368884641dd4fc166ebd614b316661ab9a9986880e
+size 192696
diff --git a/results/test/parabola/problem_1860.png b/results/test/parabola/problem_1860.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c15c4a25ae6060ac6d6730cfe3abc477e31557e
--- /dev/null
+++ b/results/test/parabola/problem_1860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aafbfefbe43afb103fd6185905a7abd1d468427a50ac1a533c13f6100f38bcf6
+size 199781
diff --git a/results/test/parabola/problem_1867.png b/results/test/parabola/problem_1867.png
new file mode 100644
index 0000000000000000000000000000000000000000..d13a77165b0fd994d97f0141a1e6a7d2a4b63a04
--- /dev/null
+++ b/results/test/parabola/problem_1867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b159b99f00044643ab0e1aa84eb800ca728a614d8ce46755f36131d48613cd56
+size 191835
diff --git a/results/test/parabola/problem_1877.png b/results/test/parabola/problem_1877.png
new file mode 100644
index 0000000000000000000000000000000000000000..529b5727af78443ab5ed261869e9cab5021d1854
--- /dev/null
+++ b/results/test/parabola/problem_1877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:342f1d5c9ab41c9bf746f103f3c62ba8e7b0a7bc9ca24ceba7eb3aa8b04be617
+size 194721
diff --git a/results/test/parabola/problem_1887.png b/results/test/parabola/problem_1887.png
new file mode 100644
index 0000000000000000000000000000000000000000..75ff1f401a39a006f06b69cd948feb2a9b6ba1be
--- /dev/null
+++ b/results/test/parabola/problem_1887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:796f917d71f18b629d4625b3b051f5059a2b3aee4ef36239023c350f943aea0b
+size 192219
diff --git a/results/test/parabola/problem_1890.png b/results/test/parabola/problem_1890.png
new file mode 100644
index 0000000000000000000000000000000000000000..645146e21d5878e3a713e1f1f973ceb53ce41f30
--- /dev/null
+++ b/results/test/parabola/problem_1890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:725b21be684aa1947dbab0e2c2970a96a637861fd31e9bca223bd98df03d55b1
+size 185785
diff --git a/results/test/parabola/problem_1897.png b/results/test/parabola/problem_1897.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fcab623f02ba8344aa54bad7696120cab7b1525
--- /dev/null
+++ b/results/test/parabola/problem_1897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce84d2e99c0b661e9785954fba03e5380b5a836b146145ab5dc5cbd45d9a81fb
+size 187684
diff --git a/results/test/parabola/problem_1900.png b/results/test/parabola/problem_1900.png
new file mode 100644
index 0000000000000000000000000000000000000000..beaef229ecef7347615b4c6356c8c292937558db
--- /dev/null
+++ b/results/test/parabola/problem_1900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9481aab637f91c2713bcce8a1a23e332cbf8561e46fbf7c56456fc11c7795071
+size 188843
diff --git a/results/test/parabola/problem_1902.png b/results/test/parabola/problem_1902.png
new file mode 100644
index 0000000000000000000000000000000000000000..879cc0b8f2f8b5e09bbfbdd6d4f9cd97b2cd2686
--- /dev/null
+++ b/results/test/parabola/problem_1902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b17684ee48397b3d0c65d65b7fb97add2dc8c30c9e826e644b1a2c0a751851f
+size 183709
diff --git a/results/test/parabola/problem_1915.png b/results/test/parabola/problem_1915.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c52c4955f4e7851b9794095491478900b5dda2c
--- /dev/null
+++ b/results/test/parabola/problem_1915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:211bfd01ee82c59acf2e9c8ab4e01459a1530bea4a9daf7bfb8a466e95975cee
+size 190089
diff --git a/results/test/parabola/problem_1917.png b/results/test/parabola/problem_1917.png
new file mode 100644
index 0000000000000000000000000000000000000000..538a376098272b830b8592fd2b31a5c6a0bb54cc
--- /dev/null
+++ b/results/test/parabola/problem_1917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f10f148aa026104d91480d74558ddbb3ed19679ef3b0f26b4d49544024020b5
+size 191818
diff --git a/results/test/parabola/problem_1922.png b/results/test/parabola/problem_1922.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9776961236e177be6901e64dc88ef7fbebe2f42
--- /dev/null
+++ b/results/test/parabola/problem_1922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e785f2cdc0772e51ff5123dd1a6eae414e91c6b9eb55130faf8079ea79b95e47
+size 194376
diff --git a/results/test/parabola/problem_1924.png b/results/test/parabola/problem_1924.png
new file mode 100644
index 0000000000000000000000000000000000000000..f46f6a72023e646da49f3708a3f2ef7536787761
--- /dev/null
+++ b/results/test/parabola/problem_1924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:888d2397ac61c0cac5fae9f81ca03f0a6533f9bff03039cc5a215bb5e7b265fc
+size 193738
diff --git a/results/test/parabola/problem_1932.png b/results/test/parabola/problem_1932.png
new file mode 100644
index 0000000000000000000000000000000000000000..82813f8c5cbc7132dcd10de2822e0a04eaff0acb
--- /dev/null
+++ b/results/test/parabola/problem_1932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cfb5895d44f37d5f13de61e4bdb972adf82379b808358eea1384fe9726474d2
+size 188234
diff --git a/results/test/parabola/problem_1941.png b/results/test/parabola/problem_1941.png
new file mode 100644
index 0000000000000000000000000000000000000000..d553c2b290b43660ff8abb2976a856fcc9c9f100
--- /dev/null
+++ b/results/test/parabola/problem_1941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acf11e57c8d5b604ff726d20fb6fe0fd86408047c10516b8be649fe2f8a28add
+size 187729
diff --git a/results/test/parabola/problem_1942.png b/results/test/parabola/problem_1942.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0b7d4fd48de3133a02bd1a14abb126d94326d50
--- /dev/null
+++ b/results/test/parabola/problem_1942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17156b14189872fcd946113f87e1dfe47a379d9f50b185bdb3fbc8b50060b2f9
+size 202652
diff --git a/results/test/parabola/problem_1947.png b/results/test/parabola/problem_1947.png
new file mode 100644
index 0000000000000000000000000000000000000000..75191e5260d508cf8deb8354caf216337cdc92df
--- /dev/null
+++ b/results/test/parabola/problem_1947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5ab1f0894a8de01745a39c07b7458d55369934fc5c84a6106678959caba0a81
+size 193923
diff --git a/results/test/parabola/problem_1951.png b/results/test/parabola/problem_1951.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8d46eb8ca4822db72ce65262b907a12f0503df6
--- /dev/null
+++ b/results/test/parabola/problem_1951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a64a192d9eb5cbbcc45cfdeb02c25bd722464c1ba2987412c29d54942cdafcc
+size 188839
diff --git a/results/test/parabola/problem_1954.png b/results/test/parabola/problem_1954.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7ad13be704153725429ae008592111f497ca003
--- /dev/null
+++ b/results/test/parabola/problem_1954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d1621609cd7f0a2d30269c144ef335f87461c77b4aa45d4c650df0fe3a3660a
+size 184240
diff --git a/results/test/parabola/problem_1956.png b/results/test/parabola/problem_1956.png
new file mode 100644
index 0000000000000000000000000000000000000000..496d7fe9bbf11e929d8ebc698b528ae7f6f6b4f0
--- /dev/null
+++ b/results/test/parabola/problem_1956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3db62235e36a2e680bc84e626b8bf06d646fc66f64b10ed078a191053c28b616
+size 193505
diff --git a/results/test/parabola/problem_1957.png b/results/test/parabola/problem_1957.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7668688d33d80fd6860b391bfd66309860541a7
--- /dev/null
+++ b/results/test/parabola/problem_1957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd8c0cf0ff11980529836f7277bbb76b2a1eed2f0bcbb93761b9cff1a9ec1524
+size 190008
diff --git a/results/test/parabola/problem_1959.png b/results/test/parabola/problem_1959.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bc8b5a8da48838ed3c7da07623ad7d98f607a13
--- /dev/null
+++ b/results/test/parabola/problem_1959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2de233fd8feebab28e975d0c3329195cf36e00b0948cd431d1a1da649451d828
+size 202790
diff --git a/results/test/parabola/problem_1960.png b/results/test/parabola/problem_1960.png
new file mode 100644
index 0000000000000000000000000000000000000000..08c7f93439f320c2bca880a5b57639f2ccb311e0
--- /dev/null
+++ b/results/test/parabola/problem_1960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c10009eed01945b25268c97054c3fee23df3d125ec92640c19f1de3e2bd69d22
+size 187754
diff --git a/results/test/parabola/problem_1963.png b/results/test/parabola/problem_1963.png
new file mode 100644
index 0000000000000000000000000000000000000000..18faca700b4b9957856b7aeed49e4b3d836a9e27
--- /dev/null
+++ b/results/test/parabola/problem_1963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bdb93c014cf91eb096c9ea14e7d134744905ddcf36bb956885f0a077f1eecdf
+size 182905
diff --git a/results/test/parabola/problem_1965.png b/results/test/parabola/problem_1965.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe320b73d3dc70f54fff86fedf689a635dead068
--- /dev/null
+++ b/results/test/parabola/problem_1965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ce38af0661b1a57a2b08776079bd53bed0d492c2a2ec35d3bde1ef9149ec63
+size 176999
diff --git a/results/test/parabola/problem_1967.png b/results/test/parabola/problem_1967.png
new file mode 100644
index 0000000000000000000000000000000000000000..bdd6222de06b5fb82bd3ae34277fa6470d27070e
--- /dev/null
+++ b/results/test/parabola/problem_1967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24406ebbf9aa1de4c0f8c83f3e1f9436d084f45ee11811643534a1a5341a0eff
+size 189549
diff --git a/results/test/parabola/problem_1969.png b/results/test/parabola/problem_1969.png
new file mode 100644
index 0000000000000000000000000000000000000000..91d9a939058aa4dcd84705d4db7698c709c175c9
--- /dev/null
+++ b/results/test/parabola/problem_1969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0b04af3234da3823a008bfb89d1857499fbbb0f9b3c21b3ae48edc8a382d92f
+size 190771
diff --git a/results/test/parabola/problem_1972.png b/results/test/parabola/problem_1972.png
new file mode 100644
index 0000000000000000000000000000000000000000..4990ee6d11c25485c0169b76fe8821915fbc36f7
--- /dev/null
+++ b/results/test/parabola/problem_1972.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97e2234abe044f9cd49d55c9f83478fe19f45b32c20e08f7b8d6edae6307cd1d
+size 196647
diff --git a/results/test/parabola/problem_1973.png b/results/test/parabola/problem_1973.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef15e68421222027828ac9d6c57f28d43d105417
--- /dev/null
+++ b/results/test/parabola/problem_1973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4837ac4528db0babf1d0fd7509c49acf4e0ee2b89863314e5e86aa3cd43c63d
+size 167187
diff --git a/results/test/parabola/problem_1976.png b/results/test/parabola/problem_1976.png
new file mode 100644
index 0000000000000000000000000000000000000000..178833654cb05b85d2de9edb3322840c3cc36a8e
--- /dev/null
+++ b/results/test/parabola/problem_1976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a3d6f2d8a242da0705b184946eaf36ce2482a84dfde626c5beda56e25e9a6b9
+size 177161
diff --git a/results/test/parabola/problem_1981.png b/results/test/parabola/problem_1981.png
new file mode 100644
index 0000000000000000000000000000000000000000..346cd41e786e071ae634d6319fb68b360fc68d99
--- /dev/null
+++ b/results/test/parabola/problem_1981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea4185b316c25e17725d539288d26ea9fc1ba899e57854e7cbf66947cddc9fe2
+size 194289
diff --git a/results/test/parabola/problem_1982.png b/results/test/parabola/problem_1982.png
new file mode 100644
index 0000000000000000000000000000000000000000..45fe5f06279afda70648f86e65a3079368633c61
--- /dev/null
+++ b/results/test/parabola/problem_1982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b581ad7145e630512e8c1fdda709537e531f047fe4fc277e1fea88d7d3e809a
+size 186530
diff --git a/results/test/parabola/problem_1988.png b/results/test/parabola/problem_1988.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdc87f89baaf8a0866cea449f54d9fcd793429a7
--- /dev/null
+++ b/results/test/parabola/problem_1988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba5e90416b61822878389a0404ab5630c030876b86dcb67d021ad1940fe33dd4
+size 210987
diff --git a/results/test/parabola/problem_2007.png b/results/test/parabola/problem_2007.png
new file mode 100644
index 0000000000000000000000000000000000000000..a69f5bfaa8a79f47faec29f8e14d8ecaf683b0dc
--- /dev/null
+++ b/results/test/parabola/problem_2007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fcc93fc2bfd3afc294de6034d422a0f631c9e647c5a34d62386d90c66893286
+size 189766
diff --git a/results/test/parabola/problem_2009.png b/results/test/parabola/problem_2009.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf29ac01952af07fd1999934cc02fc86b06584c4
--- /dev/null
+++ b/results/test/parabola/problem_2009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2aaf2aff35a28e6c9f79a0a4502e1b6ed48f9861adab23da5148735fd4c3a5c
+size 196901
diff --git a/results/test/parabola/problem_2012.png b/results/test/parabola/problem_2012.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c91fa33b4ea4888281da63a789d2c0ab4a137ba
--- /dev/null
+++ b/results/test/parabola/problem_2012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f86889ffd80c67c54a3b8f2ec18aed4b823c85d914edc9c70d57449356aa7e1
+size 183530
diff --git a/results/test/parabola/problem_2014.png b/results/test/parabola/problem_2014.png
new file mode 100644
index 0000000000000000000000000000000000000000..be6ed0d516e93213fa682bf1cbc67a8464bb689c
--- /dev/null
+++ b/results/test/parabola/problem_2014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65fedede96717774a170bf1c29033b544294e3a72d01de604da7a3d4f86072d9
+size 188667
diff --git a/results/test/parabola/problem_2017.png b/results/test/parabola/problem_2017.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b4bd136807fbd097796796042a66214052890a4
--- /dev/null
+++ b/results/test/parabola/problem_2017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d6b0557294015c65f5234e59339ac197e5a69f65cf3dc5a5738d042c70af380
+size 190464
diff --git a/results/test/parabola/problem_2018.png b/results/test/parabola/problem_2018.png
new file mode 100644
index 0000000000000000000000000000000000000000..94eb5313fd54c5ab941cb926dffd03274e8ff91e
--- /dev/null
+++ b/results/test/parabola/problem_2018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6d9d30ff219dcc423b4c61f1f5b74aee6208e6bc723d238183185c8419c4162
+size 187103
diff --git a/results/test/parabola/problem_2029.png b/results/test/parabola/problem_2029.png
new file mode 100644
index 0000000000000000000000000000000000000000..d395d07d72c754dadab3065edda30a2fa2a57d04
--- /dev/null
+++ b/results/test/parabola/problem_2029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35f2f521e7bfbe29c880bb26db1bcda1a2091312a6c0edba304f6276eedf2173
+size 186823
diff --git a/results/test/parabola/problem_2030.png b/results/test/parabola/problem_2030.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c53ddf743f5a7ab4f9cf30901e55a4ead5f371f
--- /dev/null
+++ b/results/test/parabola/problem_2030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b967a19549fbfa8c6146f8cd44a6112561bb015b043d977b348cd46d4982d599
+size 165993
diff --git a/results/test/parabola/problem_2032.png b/results/test/parabola/problem_2032.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a44cac13dc52eaa9873689a4bc43bafbeba9740
--- /dev/null
+++ b/results/test/parabola/problem_2032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09c58bb8c7b89ef3395bcdda3af9dcef8a8f9d6c3551225fd85fa5458fc163b9
+size 188205
diff --git a/results/test/parabola/problem_2034.png b/results/test/parabola/problem_2034.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8bd2c20d9e2f55dff7224fececdff7c3bcdc4bf
--- /dev/null
+++ b/results/test/parabola/problem_2034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:836c5f3c95a0ec217b83406cc04fd36279993ec4525420b3cbbeab4d700bea02
+size 168846
diff --git a/results/test/parabola/problem_2037.png b/results/test/parabola/problem_2037.png
new file mode 100644
index 0000000000000000000000000000000000000000..024f2a5cbf3dc7070c90a1ed88fead2843ae3901
--- /dev/null
+++ b/results/test/parabola/problem_2037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4258dbda9c3c61324e63f95860d5bf2000571e0f4b1a5b0834faceb78596d860
+size 183874
diff --git a/results/test/parabola/problem_2048.png b/results/test/parabola/problem_2048.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c0e40499fd94bf45b1afed779866d2462cac8f8
--- /dev/null
+++ b/results/test/parabola/problem_2048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3ab842ef4d278aa171f219f883d5e1b904287c8cb3ce6d8e58b36913f73cc88
+size 153054
diff --git a/results/test/parabola/problem_2055.png b/results/test/parabola/problem_2055.png
new file mode 100644
index 0000000000000000000000000000000000000000..44d5c5ed3061a5cf5c35443a7cb35294e4b60cfd
--- /dev/null
+++ b/results/test/parabola/problem_2055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9b8dba97c98fea5f3748ebf4ad18686ac4b46906f7ceb4e9ec20982f4fee880
+size 190473
diff --git a/results/test/parabola/problem_2058.png b/results/test/parabola/problem_2058.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b641e68ee123e18a87c34dd57bfbb4952054109
--- /dev/null
+++ b/results/test/parabola/problem_2058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7d6d408da3b4167bc3299f85b25f8c2038d2328cacd5dcee4aa1256f3a3e9b2
+size 189946
diff --git a/results/test/parabola/problem_2066.png b/results/test/parabola/problem_2066.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddd9ca93f3ec47fc5fd5db544298c12a0a636862
--- /dev/null
+++ b/results/test/parabola/problem_2066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96c996424094cec06b64518c848901eb5f321cc226d399fbd32b43e955c4b2ac
+size 163565
diff --git a/results/test/parabola/problem_2068.png b/results/test/parabola/problem_2068.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc431dc14db23c608b0dd5ab397cc4a5bd0a9c7d
--- /dev/null
+++ b/results/test/parabola/problem_2068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e1c280bfb5519d5564d1b6de73600d5cc0cc91ed696e2872688e9e7464c19db
+size 201670
diff --git a/results/test/summary.json b/results/test/summary.json
new file mode 100644
index 0000000000000000000000000000000000000000..205f64569964e704198b51cbd7cd634fddf9a858
--- /dev/null
+++ b/results/test/summary.json
@@ -0,0 +1,36993 @@
+{
+  "stats": {
+    "total": 2069,
+    "success": 1595,
+    "failed": 474
+  },
+  "type_stats": {
+    "ellipse": 467,
+    "hyperbola": 564,
+    "parabola": 532,
+    "circle": 32
+  },
+  "reason_counts": {
+    "ellipse_ecc_mismatch": 8,
+    "ellipse_point_off_curve": 8,
+    "hyperbola_point_off_curve": 14,
+    "parabola_point_off_curve": 4,
+    "ellipse_focus_mismatch": 7,
+    "hyperbola_focus_mismatch": 8,
+    "parabola_focus_mismatch": 2
+  },
+  "results": [
+    {
+      "index": 0,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.732385540716972,
+        "b": 2.4497476064802375,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.601017381791051e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/test/hyperbola/problem_0000.png",
+      "answer": "x^2/3-y^2/6=1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);Focus(G)={F1,F2};Expression(OneOf(Asymptote(G))) = (y = sqrt(2)*x)",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0001.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/k^2 = 1);k: Number;k>0;Coordinate(OneOf(Focus(G))) = (3,0)",
+      "coords": {}
+    },
+    {
+      "index": 2,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0002.png",
+      "answer": "sqrt(34)-1",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 5);PointOnCurve(P,G);Distance(P, yAxis) = d;d:Number",
+      "coords": {
+        "A": [
+          4.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 3,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0003.png",
+      "answer": "3*x+4*y-5=0",
+      "fact_expr": "G: Hyperbola;H: LineSegment;M: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(M) = (3, -1);IsChordOf(H,G);MidPoint(H)=M;PointOnCurve(M,H)",
+      "coords": {
+        "M": [
+          3.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 4,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0004.png",
+      "answer": "(x^2+y^2=1)&Negation(x=pm*1)",
+      "fact_expr": "P: Point;Slope(LineSegmentOf(P, A))*Slope(LineSegmentOf(P, B)) = -1;A: Point;Coordinate(A) = (-1, 0);B: Point;Coordinate(B) = (1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 5,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0005.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0006.png",
+      "answer": "(0,sqrt(2)/2]",
+      "fact_expr": "P: Point;PointOnCurve(P, G) = True;Coordinate(P) = (x1, y1);x1: Number;y1: Number;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) <= ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9872854805122186,
+        "b": 2.6119589473247777,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.271082513482038e-06,
+        "converged": true,
+        "iterations": 115
+      },
+      "output_path": "results/test/hyperbola/problem_0007.png",
+      "answer": "x^2/2-y^2/14=1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(C) = Focus(G);Expression(OneOf(Asymptote(C))) = (y = sqrt(7)*x)",
+      "coords": {}
+    },
+    {
+      "index": 8,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_0008.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/n + x^2/m = 1);m: Number;n: Number;m>0;n>0;Eccentricity(H) = 1/2;G: Parabola;Expression(G) = (y^2 = 8*x);OneOf(Focus(H)) = Focus(G)",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 9,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0009.png",
+      "answer": "y^2=-8*x",
+      "fact_expr": "G: Parabola;P: Point;O: Origin;m:Number;Coordinate(P) = (-3, m);Vertex(G) = O;PointOnCurve(Focus(G), xAxis);PointOnCurve(P, G);Distance(P, Focus(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 10,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0010.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (1, 5);PointOnCurve(M, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          1.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 11,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0011.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x - 1);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 12,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0012.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;G: Line;Expression(G) = (y = b*sqrt(6)/3);Intersection(G, C) = {A, B};A: Point;B: Point;O: Origin;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 13,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0013.png",
+      "answer": "(-1, 1)+{17/8}",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2);H: Circle;Expression(H) = (x^2 + (-a + y)^2 = 1);a: Number;NumIntersection(G, H) = 2",
+      "coords": {}
+    },
+    {
+      "index": 14,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "y",
+        "x_coef": 5.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0014.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/5 + y^2/9 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G);x1:Number;y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 15,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0015.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;LeftFocus(G) = F1;O: Origin;P: Point;PointOnCurve(P, G);Q: Point;PointOnCurve(Q, RightDirectrix(G));VectorOf(P, Q) = 2*VectorOf(F1, O);lambda: Number;lambda>0;VectorOf(F1, Q) = lambda*(VectorOf(F1, O)/Abs(VectorOf(F1, O)) + VectorOf(F1, P)/Abs(VectorOf(F1, P)))",
+      "coords": {}
+    },
+    {
+      "index": 16,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0016.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/b^2 = 1);b: Number;b>0;F: Point;RightFocus(G) = F;Distance(F, OneOf(Asymptote(G))) = 1;H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Number;p>0;PointOnCurve(LeftFocus(G), Directrix(H)) = True;M: Point;PointOnCurve(M, H) = True;I: Point;Coordinate(I) = (5, 0)",
+      "coords": {
+        "I": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 17,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0017.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;E: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(60, degree);Intersection(H, G) = {A, B};Intersection(PerpendicularBisector(LineSegmentOf(A,B)), xAxis) = E;Abs(LineSegmentOf(E, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 18,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0018.png",
+      "answer": "-2*p/t",
+      "fact_expr": "G: Parabola;p: Number;H: Line;O: Origin;A: Point;M: Point;B: Point;t:Number;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(M,SymmetryAxis(G));Coordinate(M) = (t, 0);PointOnCurve(M, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 19,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.656854249492381,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 32.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0019.png",
+      "answer": "[21/2, 27/2]",
+      "fact_expr": "G: Ellipse;H: Circle;J: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/36 + y^2/32 = 1);Expression(H) = (y^2 + (x - 2)^2 = 1);Expression(J) = (y^2 + (x + 2)^2 = 1/4);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, J)",
+      "coords": {}
+    },
+    {
+      "index": 20,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0020.png",
+      "answer": "5",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;A: Point;B: Point;k: Number;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (-1, -1);Slope(l)=k;PointOnCurve(Focus(C),l);Intersection(l, C) = {A,B};PointOnCurve(M,Directrix(C));DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 21,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.6935477682080864,
+        "b": 1.5214863254929487,
+        "major_axis": "y",
+        "x_coef": 0.9999999999999996,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 1.5072050880173891e-05,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/test/ellipse/problem_0021.png",
+      "answer": "x^2+y^2/4=1",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;Coordinate(A) = (0, 2);Coordinate(B) = (1/2, sqrt(3));PointOnCurve(A,G) = True;PointOnCurve(B,G) = True",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ],
+        "B": [
+          0.5,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 22,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0022.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;m: Number;O: Origin;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (m - m*y + x = 0);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Area(TriangleOf(O,A,B))=2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 23,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0023.png",
+      "answer": "3/5",
+      "fact_expr": "G: Parabola;P: Point;M: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P,G);L:Line;PointOnCurve(P,L);IsPerpendicular(L,Directrix(G));FootPoint(L,Directrix(G))=M;Abs(LineSegmentOf(P, M)) = 5;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 24,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 25,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0025.png",
+      "answer": "20",
+      "fact_expr": "F2: Point;F1: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);H: Line;PointOnCurve(F1, H) = True;A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 26,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/test/parabola/problem_0026.png",
+      "answer": "(0,1)",
+      "fact_expr": "G: Parabola;p: Number;H: Point;Expression(G) = (x^2 = 2*(p*y));Coordinate(H) = (2, 1);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 27,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0027.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;m>0;Expression(G) = (-x^2 + y^2/m = 1);Expression(H) = (y = x^2/8);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 28,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0028.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a > 0;b > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);F: Point;LeftFocus(C) = F;l: Line;Slope(l) = sqrt(2);PointOnCurve(F, l);A: Point;B: Point;Intersection(l, LeftPart(C)) = {A, B};E: Circle;IsDiameter(LineSegmentOf(A, B), E);O: Origin;PointOnCurve(O, E)",
+      "coords": {}
+    },
+    {
+      "index": 29,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 30,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0030.png",
+      "answer": "6/5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F, G);Slope(G) = sqrt(3);Intersection(G, C) = {A, B};VectorOf(A, B) = 5*(VectorOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 31,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0031.png",
+      "answer": "{1,3}",
+      "fact_expr": "G: Parabola;p: Number;H: Line;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (x = p/2);Focus(G)=F;PointOnCurve(A,G);PointOnCurve(B,G);Abs(VectorOf(A, F)) + Abs(VectorOf(B, F)) = 4;Distance(MidPoint(LineSegmentOf(A,B)),H)=1",
+      "coords": {}
+    },
+    {
+      "index": 32,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0032.png",
+      "answer": "y=pm*(3/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 33,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0033.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 34,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 35,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0035.png",
+      "answer": "-1",
+      "fact_expr": "k: Number;l: Line;Slope(l) = k;C: Ellipse;Expression(C) = (x^2/3 + y^2/2 = 1);A: Point;B: Point;Intersection(l, C) = {A, B};Coordinate(MidPoint(LineSegmentOf(A, B))) = (1/2, 1/3)",
+      "coords": {}
+    },
+    {
+      "index": 36,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0036.png",
+      "answer": "(-oo,-sqrt(2)/2]+[sqrt(2)/2,+oo)",
+      "fact_expr": "G: Ellipse;H: Line;B: Point;A: Point;Expression(G) = (x^2/2 + y^2 = 1);Expression(H) = (x = -1/2);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(MidPoint(LineSegmentOf(A,B)),H)",
+      "coords": {}
+    },
+    {
+      "index": 37,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_0037.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 38,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0038.png",
+      "answer": "(1,3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1,F2};PointOnCurve(P,RightPart(G));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 39,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 2.309742261840055,
+        "b": 1.632524068785969,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.273270740250148e-06,
+        "converged": true,
+        "iterations": 84
+      },
+      "output_path": "results/test/hyperbola/problem_0039.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Hyperbola;G: Point;Coordinate(G) = (4, 2);Expression(Asymptote(C)) = (y = pm*(sqrt(2)/2)*X);PointOnCurve(G, C);PointOnCurve(Focus(C), axis)",
+      "coords": {
+        "G": [
+          4.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 40,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_0040.png",
+      "answer": "{5/3,5/4}",
+      "fact_expr": "C: Hyperbola;O:Origin;Center(C)=O;Expression(OneOf(Asymptote(C)))=(y=4/3*x);SymmetryAxis(C)=axis",
+      "coords": {}
+    },
+    {
+      "index": 41,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0041.png",
+      "answer": "1/3",
+      "fact_expr": "E: Parabola;p: Number;C: Circle;G: Line;A: Point;F: Point;P: Point;M: Point;N: Point;p>0;Expression(E) = (x^2 = 2*(p*y));Expression(C) = ((x + 2)^2 + (y + 2)^2 = 1);Coordinate(P) = (3/2, -1);PointOnCurve(P, Directrix(E));TangentOfPoint(P , E) = G;TangentPoint(G, E) = A;Quadrant(A) = 1;Focus(E) = F;PointOnCurve(M, LineOf(A, F));PointOnCurve(N, C)",
+      "coords": {
+        "P": [
+          1.5,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 42,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0042.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Parabola;p: Number;p>0;Expression(C) = (y^2 = 2*p*x);Expression(l)=(x-2*y+6=0);IsTangent(l,C)",
+      "coords": {}
+    },
+    {
+      "index": 43,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0043.png",
+      "answer": "(7+2*sqrt(3))/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F1: Point;P: Point;F2: Point;e:Number;L:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = -x*b/a);LeftFocus(G)=F1;RightFocus(G)=F2;Eccentricity(G)=e;PointOnCurve(F1,L);IsPerpendicular(L,H);Intersection(L,RightPart(G))=P;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 44,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0044.png",
+      "answer": "[sqrt(3)/3,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightDirectrix(G)) = True;P: Point;PointOnCurve(F2, PerpendicularBisector(LineSegmentOf(P, F1))) = True",
+      "coords": {}
+    },
+    {
+      "index": 45,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0045.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;k1: Number;k2:Number;A: Point;P: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = k*x);Intersection(G, C) = {A, B};PointOnCurve(P, C);Negation(P = A);Negation(P = B);Slope(LineOf(P,A)) = k1;Slope(LineOf(P,B))=k2;Eccentricity(C) = 2;k:Number",
+      "coords": {}
+    },
+    {
+      "index": 46,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 47,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0047.png",
+      "answer": "(-3/2,pm*3*sqrt(3))",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;D: Point;Expression(C) = (y^2 = 6*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(l,Directrix(C))=D;Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 48,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 49,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0049.png",
+      "answer": "a^2+1+1/(a^2-1)",
+      "fact_expr": "G: Ellipse;a: Number;A: Point;B: Point;a>1;Expression(G) = (y^2 + x^2/a^2 = 1);Eccentricity(G)>sqrt(2)/2;UpperVertex(G)=A;PointOnCurve(B, G)",
+      "coords": {}
+    },
+    {
+      "index": 50,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 51,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0051.png",
+      "answer": "16/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};Abs(LineSegmentOf(F, A)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 52,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0052.png",
+      "answer": "[sqrt(2)/2,1]",
+      "fact_expr": "C: Parabola;M: Point;A: Point;F: Point;Expression(C) = (x^2 = 3*y);Focus(C)=F;Intersection(Directrix(C),yAxis)=A;PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 53,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0053.png",
+      "answer": "(sqrt(5)+1)/2",
+      "fact_expr": "C1: Hyperbola;Expression(C1)=(x^2/a^2-y^2/b^2=1);a:Number;b:Number;a>0;b>0;F1:Point;LeftFocus(C1)=F1;H:Circle;M:Point;l:Line;Expression(H)=(x^2+y^2=a^2);TangentOfPoint(F1,H)=l;TangentPoint(l,H)=M;C2:Parabola;Expression(C2)=(y^2=2*p*x);p:Number;p>0;N:Point;Intersection(OverlappingLine(LineSegmentOf(F1,M)),C2)=N;OneOf(Focus(C1))=Focus(C2);Abs(LineSegmentOf(M, F1)) = Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 54,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0054.png",
+      "answer": "ApplyUnit(120, degree)",
+      "fact_expr": "G: Ellipse;B1: Point;F1: Point;B2: Point;Expression(G) = (x^2/12 + y^2/9 = 1);Endpoint(MinorAxis(G)) = {B1, B2};OneOf(Focus(G)) = F1",
+      "coords": {}
+    },
+    {
+      "index": 55,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0055.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F1, LineSegmentOf(A, B));Perimeter(InscribedCircle(TriangleOf(A, B, F2))) = 2*pi;x1: Number;x2: Number;y1: Number;y2: Number;A: Point;B: Point;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {}
+    },
+    {
+      "index": 56,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0056.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G);F: Point;Focus(G) = F;Distance(M, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 57,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0057.png",
+      "answer": "y = pm*2*sqrt(2)*(x - 1)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, LineSegmentOf(A, B));LineSegmentOf(A, F) = 2*LineSegmentOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 58,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0058.png",
+      "answer": "5",
+      "fact_expr": "P: Point;Coordinate(P) = (-1, 0);H: Line;PointOnCurve(P, H);G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;Intersection(H, G) = {A, B};2*Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(A, B))",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 59,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0059.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = x);PointOnCurve(B,G);Coordinate(A)=(2,0)",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 60,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0060.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;l1: Line;l2: Line;F1: Point;P: Point;F2: Point;e: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l1);Inclination(l1) = ApplyUnit(30, degree);PointOnCurve(F2, l2);Intersection(l1, l2) = P;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(90, degree);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 61,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 62,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0062.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;A: Point;C:Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (-3, 2*sqrt(3));Asymptote(G)=Asymptote(C);PointOnCurve(A,C)",
+      "coords": {
+        "A": [
+          -3.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 63,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.5129417181015015,
+        "b": 2.0152759552001953,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.66731001122389e-06,
+        "converged": true,
+        "iterations": 100
+      },
+      "output_path": "results/test/hyperbola/problem_0063.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*(4/3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 64,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0064.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;p: Number;M: Circle;A: Point;B:Point;F: Point;x0:Number;y0:Number;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(M) = (y^2 + (x + 2)^2 = 4);Coordinate(A) = (x0, y0);PointOnCurve(A,G);TangentOnPoint(A,G)=l;TangentPoint(l,M)=B;Focus(G)=F;Distance(F,A)=Abs(LineSegmentOf(A,F));l:Line",
+      "coords": {}
+    },
+    {
+      "index": 65,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0065.png",
+      "answer": "(0, -2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y = -x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 66,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0066.png",
+      "answer": "2*x-y-15=0",
+      "fact_expr": "G: Hyperbola;H: Line;B: Point;A: Point;P: Point;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(P) = (8, 1);PointOnCurve(P,H);Intersection(H,G) = {A, B};MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 67,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 68,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0068.png",
+      "answer": "3/4",
+      "fact_expr": "C: Parabola;G: Line;l: Line;A: Point;O: Origin;F: Point;B: Point;D: Point;Expression(C) = (y^2 = 4*x);Directrix(C) = l;Focus(C) = F;PointOnCurve(F, G);Slope(G) = sqrt(3);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) > Abs(LineSegmentOf(B, F));Intersection(LineOf(A,O), l) = D",
+      "coords": {}
+    },
+    {
+      "index": 69,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0069.png",
+      "answer": "(4*sqrt(3))/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;L: Line;PointOnCurve(F1, L);A: Point;B: Point;Intersection(L, LeftPart(G)) = {A, B};AngleOf(A, F2, B) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 70,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0070.png",
+      "answer": "5/4",
+      "fact_expr": "Length(LineSegmentOf(A, B)) = 3;A: Point;B: Point;Endpoint(LineSegmentOf(A, B)) = {A, B};PointOnCurve(A, G);PointOnCurve(B, G);G: Parabola;Expression(G) = (y^2 = x);M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 71,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 72,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0072.png",
+      "answer": "3*sqrt(2)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;b: Number;a: Number;a>0;b>0;A: Point;H: Line;Expression(H) = (x = (4/3)*a);OneOf(Intersection(H,C)) = A;G: Circle;IsDiameter(LineSegmentOf(F1, F2), G);PointOnCurve(A, G)",
+      "coords": {}
+    },
+    {
+      "index": 73,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_0073.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (m*y^2 + x^2 = 1);m: Number;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 74,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0074.png",
+      "answer": "{y=((sqrt(3)/3)*x)-sqrt(3)/3, y=((-sqrt(3)/3)*x)+sqrt(3)/3}",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};P: Point;Q: Point;Projection(MidPoint(LineSegmentOf(A, F)), yAxis) = P;Projection(MidPoint(LineSegmentOf(B, F)), yAxis) = Q;Abs(LineSegmentOf(P, Q)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 75,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0075.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);PointOnCurve(OneOf(Focus(G)), Directrix(H));Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 76,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0076.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Circle;Expression(H) = (x^2 + y^2 = a^2);M: Point;AngleOf(F1, M, F2) = pi/4;L:Line;TangentOfPoint(F1,H)=L;Intersection(L,RightPart(G))=M",
+      "coords": {}
+    },
+    {
+      "index": 77,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0077.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "A: Point;Coordinate(A) = (0, 2);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;B: Point;Intersection(LineSegmentOf(F, A), G) = B;Z: Line;PointOnCurve(B, Z);IsPerpendicular(Z, l);M: Point;FootPoint(Z, l) = M;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(M, F))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 78,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0078.png",
+      "answer": "(sqrt(13) + 1)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;O: Origin;F: Point;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;IsDiameter(LineSegmentOf(O, F), H);OneOf(Intersection(H, G)) = A;Inclination(LineSegmentOf(O, A)) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 79,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0079.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);H: Line;PointOnCurve(RightFocus(G), H);IsPerpendicular(H, xAxis);A: Point;B: Point;L1: Line;L2: Line;Asymptote(G) = {L1, L2};Intersection(H, L1) = A;Intersection(H, L2) = B",
+      "coords": {}
+    },
+    {
+      "index": 80,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0080.png",
+      "answer": "b^2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;M: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Negation(P=Vertex(G));LeftFocus(G) = F1;RightFocus(G) = F2;HalfFocalLength(G) = c;c:Number;TangentPoint(InscribedCircle(TriangleOf(P,F1,F2)),LineSegmentOf(F1,F2))=M",
+      "coords": {}
+    },
+    {
+      "index": 81,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 0.9927864074707031,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00015326803259085864,
+        "converged": true,
+        "iterations": 44
+      },
+      "output_path": "results/test/parabola/problem_0081.png",
+      "answer": "(125*pi)/16",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;P: Point;Coordinate(P) = (4, 4);PointOnCurve(P, C);F: Point;Focus(C) = F;M: Point;Coordinate(M) = (-1, 4)",
+      "coords": {
+        "P": [
+          4.0,
+          4.0
+        ],
+        "M": [
+          -1.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 82,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0082.png",
+      "answer": "4*x - y - 15 = 0",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Q: Point;Expression(G) = (y^2 = 8*x);IsChordOf(LineSegmentOf(A,B),G);Coordinate(Q) = (4, 1);MidPoint(LineSegmentOf(A,B))=Q",
+      "coords": {
+        "Q": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 83,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0083.png",
+      "answer": "x=-3/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;P: Point;F: Point;Q: Point;O: Origin;p>0;Focus(C)=F;PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F),xAxis);PointOnCurve(Q, xAxis);IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(O, P));Abs(LineSegmentOf(F, Q)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 84,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0084.png",
+      "answer": "x^2/4-y^2/12=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (-a + x)^2 = 3);Eccentricity(C) = 2;IsTangent(Asymptote(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 85,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0085.png",
+      "answer": "{(sqrt(3)/2, +oo), (-oo, -sqrt(3)/2)}",
+      "fact_expr": "l: Line;O: Origin;PointOnCurve(O, l) = True;G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = -1);NumIntersection(l, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 86,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0086.png",
+      "answer": "2",
+      "fact_expr": "M: Point;Coordinate(M) = (-1, 1);C: Parabola;Expression(C) = (y^2 = 4*x);G: Line;PointOnCurve(Focus(C),G) = True;Slope(G) = k;k: Number;Intersection(G, C) = {A, B};A: Point;B: Point;AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 87,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0087.png",
+      "answer": "",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;m: Number;m>0;Coordinate(M) = (1, m);PointOnCurve(M, H);Distance(M, Focus(H)) = 5;G: Hyperbola;Expression(G) = (-y^2 + x^2/a = 1);a: Real;A: Point;LeftVertex(G) = A;IsParallel(OneOf(Asymptote(G)), LineOf(A, M))",
+      "coords": {}
+    },
+    {
+      "index": 88,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 89,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0089.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;Expression(Asymptote(G)) = (sqrt(3)*x + pm*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 90,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 91,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0091.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (3, 1);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 92,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 93,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0093.png",
+      "answer": "(3*sqrt(3)/4, +oo)",
+      "fact_expr": "C: Hyperbola;M: Point;F1: Point;F2: Point;P: Point;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, LeftPart(C));Perimeter(TriangleOf(M, F1, F2)) = 9;PointOnCurve(P, RightPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 94,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 95,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 96,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0096.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;O: Origin;A: Point;F1: Point;F2: Point;x0: Number;y0: Number;Expression(G) = (x^2/9 + y^2/8 = 1);Coordinate(P) = (x0, y0);LeftFocus(G) = F1;RightFocus(G) = F2;RightVertex(G) = A;DotProduct(VectorOf(O, P), VectorOf(O, A)) = 9;WhenMax(AngleOf(F1, P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 97,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0097.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;c:Number;A: Circle;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;Abs(LineSegmentOf(F1,F2))=2*c;O:Origin;Center(A)=O;Radius(A)=c;OneOf(Intersection(A, C)) = P;Area(TriangleOf(F1,P,F2)) = a^2",
+      "coords": {}
+    },
+    {
+      "index": 98,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0098.png",
+      "answer": "2*sqrt(10)",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 99,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 0.8176298651812968,
+        "b": 2.452642014841466,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4992967561765154e-06,
+        "converged": true,
+        "iterations": 283
+      },
+      "output_path": "results/test/hyperbola/problem_0099.png",
+      "answer": "y^2/9 - x^2 = 1",
+      "fact_expr": "E: Hyperbola;F: Point;Coordinate(F) = (-sqrt(3), 6);PointOnCurve(F, E);Expression(Asymptote(E)) = (y = pm*3*x)",
+      "coords": {
+        "F": [
+          -1.7320508075688772,
+          6.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 100,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 101,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0101.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);P: Point;t: Number;Coordinate(P) = (t, 3);PointOnCurve(P, C);F: Point;Focus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 102,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 103,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0103.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/9 - y^2/b^2 = 1);Distance(RightFocus(G),Asymptote(G))=(1/2)*Distance(RightFocus(G),LeftVertex(G))",
+      "coords": {}
+    },
+    {
+      "index": 104,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 105,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 106,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 107,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0107.png",
+      "answer": "x^2/9 + y^2/4 = 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(F1, F2));Abs(LineSegmentOf(P, F1)) = 4/3;Abs(LineSegmentOf(P, F2)) = 14/3",
+      "coords": {}
+    },
+    {
+      "index": 108,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0108.png",
+      "answer": "14+8*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 8);RightFocus(G) = F2;F2: Point;P: Point;Q: Point;PointOnCurve(F2, LineSegmentOf(P, Q)) = True;IsChordOf(LineSegmentOf(P, Q), G) = True;Abs(LineSegmentOf(P, Q)) = 7;F1: Point;LeftFocus(G) = F1",
+      "coords": {}
+    },
+    {
+      "index": 109,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7994307279586792,
+        "b": 1.695713604329748,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.1180587689958606e-05,
+        "converged": true,
+        "iterations": 86
+      },
+      "output_path": "results/test/ellipse/problem_0109.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;I: Point;P: Point;F1: Point;F2: Point;Q: Point;lambda:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G);Quadrant(P)=1;Incenter(TriangleOf(P, F1, F2)) = I;Intersection(LineOf(P,I), xAxis) = Q;Eccentricity(G) = 1/3;VectorOf(P, Q) = lambda*VectorOf(I, Q);a:Number;b:Number;a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 110,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0110.png",
+      "answer": "pm*sqrt(5)/2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l,G)={A,B};VectorOf(A, F) = 5*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 111,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0111.png",
+      "answer": "(x-5)^2+y^2=16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);H: Circle;RightFocus(G) = Center(H);IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 112,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0112.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Ellipse;a: Real;a>1;Expression(C) = (y^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 113,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0113.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 114,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 115,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0115.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(G) = F;L: Line;PointOnCurve(F, L) ;IsPerpendicular(L, OneOf(Asymptote(G))) ;Asymptote(G) = {l1, l2};Intersection(L, l1) = A;Intersection(L, l2) = B;A: Point;B: Point;l1: Line;l2: Line;Abs(LineSegmentOf(A, F))/Abs(LineSegmentOf(B, F)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 116,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0116.png",
+      "answer": "(0, pm*b)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F: Point;c: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (c, 0);OneOf(Focus(G)) = F;P: Point;PointOnCurve(P, G);Max(Distance(F, P)) = m ;m: Number;n: Number;Min(Distance(F, P)) = n;P0: Point;PointOnCurve(P0, G);Distance(F, P0) = (m + n)/2",
+      "coords": {}
+    },
+    {
+      "index": 117,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0117.png",
+      "answer": "(x^2/4 + y^2/3 = 1)&Negation(y = 0)",
+      "fact_expr": "G: Parabola;H: Circle;A: Point;B: Point;Coordinate(A) = (-1, 0);Coordinate(B) = (1, 0);Expression(H) = (x^2 + y^2 = 4);PointOnCurve(A, G);PointOnCurve(B, G);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 118,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0118.png",
+      "answer": "{sqrt(6)/2, -sqrt(6)/2, sqrt(2)/2, -sqrt(2)/2}",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 1);k: Real;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 119,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0119.png",
+      "answer": "3, 25/3",
+      "fact_expr": "G: Ellipse;m: Number;e: Number;Expression(G) = (x^2/5 + y^2/m = 1);Eccentricity(G) = e ;e = sqrt(10)/5",
+      "coords": {}
+    },
+    {
+      "index": 120,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0120.png",
+      "answer": "(-oo,-1]+[3,+oo)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);B: Point;Coordinate(B) = (1, 1);PointOnCurve(B, G) = True;PointOnCurve(P, G) = True;PointOnCurve(Q, G) = True;P: Point;Q: Point;IsPerpendicular(LineSegmentOf(B, P), LineSegmentOf(P, Q)) = True",
+      "coords": {
+        "B": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 121,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0121.png",
+      "answer": "(0,-2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -8*y)",
+      "coords": {}
+    },
+    {
+      "index": 122,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0122.png",
+      "answer": "5*sqrt(2)/2-1",
+      "fact_expr": "l: Line;G: Parabola;P: Point;d1:Number;d2:Number;Expression(G) = (y^2 = 4*x);Expression(l) = (x - y + 4 = 0);PointOnCurve(P, G);Distance(P, yAxis) = d1;Distance(P, l) = d2",
+      "coords": {}
+    },
+    {
+      "index": 123,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0123.png",
+      "answer": "",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 124,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0124.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;E: Point;M: Point;N: Point;lambda: Real;lambda>=0;Expression(C) = (y^2 = 4*x);Coordinate(E) = (-lambda, 0);PointOnCurve(M, C);PointOnCurve(N, C);Min(DotProduct(VectorOf(E, M), VectorOf(E, N))) = 0",
+      "coords": {}
+    },
+    {
+      "index": 125,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0125.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;F: Point;N: Point;M: Point;l: Line;lambda: Number;lambda > 0;Expression(C) = (y^2 = 12*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(M, C);PointOnCurve(N, l);LineSegmentOf(F, N) = lambda*LineSegmentOf(F, M);Abs(LineSegmentOf(M, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 127,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 128,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0128.png",
+      "answer": "(pm*3,0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/25 = 1);P:Point;F1:Point;F2:Point;PointOnCurve(P,G);Focus(G)={F1,F2};WhenMax(Distance(P,F1)*Distance(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 129,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0129.png",
+      "answer": "y=pm*(3/5)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/25 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 130,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0130.png",
+      "answer": "6",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/5 = 1);M: Point;PointOnCurve(M, C) = True;F1: Point;F2: Point;Focus(C) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 131,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0131.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Vertex(G) = Center(H);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 132,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0132.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);Distance(P, RightFocus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 133,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 134,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 135,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 136,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0136.png",
+      "answer": "p=1/2",
+      "fact_expr": "C: Parabola;p: Number;A: Point;p>0;Expression(C) = (y^2 = 2*p*x);m:Number;Coordinate(A) = (4, m);PointOnCurve(A, C);Distance(A, Focus(C)) = 17/4",
+      "coords": {}
+    },
+    {
+      "index": 137,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0137.png",
+      "answer": "4*sqrt(10)/5",
+      "fact_expr": "G: Ellipse;H: Line;t: Number;A: Point;B: Point;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (y = t + x);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 138,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0138.png",
+      "answer": "pm*4*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 16*x);F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C);O: Origin;N: Point;Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;Abs(LineSegmentOf(F, N)) = 2*Abs(LineSegmentOf(O, M))",
+      "coords": {}
+    },
+    {
+      "index": 139,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.8706156235768385,
+        "b": 0.9134866531697662,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 8.509210183089842e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/test/ellipse/problem_0139.png",
+      "answer": "x^2/9+y^2=1",
+      "fact_expr": "G: Ellipse;P: Point;Coordinate(P) = (3, 0);PointOnCurve(Focus(G),xAxis);PointOnCurve(P,G);Length(MajorAxis(G))=3*Length(MinorAxis(G))",
+      "coords": {
+        "P": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 140,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 141,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0141.png",
+      "answer": "(-oo, -sqrt(2)]",
+      "fact_expr": "P: Point;Coordinate(P) = (x0, y0);x0: Number;y0: Number;G: Hyperbola;Expression(G) = (x^2/2 - y^2/4 = 1);PointOnCurve(P, LeftPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 142,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0142.png",
+      "answer": "16",
+      "fact_expr": "l: Line;PointOnCurve(F2, l);G: Ellipse;Expression(G) = (x^2/16 + y^2/8 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 143,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 144,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0144.png",
+      "answer": "5/8",
+      "fact_expr": "l: Line;C: Parabola;p: Number;G: Circle;B: Point;A: Point;Q: Point;M: Point;N: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Slope(l) = sqrt(3);Intersection(l, C) = {A, B};IsDiameter(LineSegmentOf(A, B), G);Intersection(G, yAxis) = {M, N};MidPoint(LineSegmentOf(A, B)) = Q;Distance(F, Directrix(C)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 145,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0145.png",
+      "answer": "y = pm*x*8/15",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;O: Origin;A: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;Slope(G) = 1/4;PointOnCurve(F, G);Intersection(G, OneOf(Asymptote(C))) = A;Quadrant(A) = 1;Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 146,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0146.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (16*x^2 - 9*y^2 = 144)",
+      "coords": {}
+    },
+    {
+      "index": 147,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 148,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 149,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0149.png",
+      "answer": "3/2",
+      "fact_expr": "l: Line;G: Parabola;B: Point;C: Point;F: Point;A: Point;Expression(G) = (y^2 = 4*x);Intersection(l, G) = {A, B};Intersection(l,Directrix(G))=C;Focus(G) = F;VectorOf(B, C) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 150,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0150.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;l:Line;B: Point;C: Point;D: Point;Expression(G) = (x^2/3 + y^2/4 = 1);Expression(H) = (x + y + 1 = 0);Expression(l) = (x+y-1=0);UpperFocus(G) = F;Intersection(H,G)={A,B};Intersection(l,G)={C,D};F:Point",
+      "coords": {}
+    },
+    {
+      "index": 151,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0151.png",
+      "answer": "",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/9 = 1);P: Point;Coordinate(P) = (1/2, 1/2);L: Line;PointOnCurve(P,L);Intersection(P,G) = {A,B};A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          0.5,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 152,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.4142135623730951
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0152.png",
+      "answer": "{5, 1/3}",
+      "fact_expr": "l: Line;C: Circle;A: Point;B: Point;P: Point;Expression(C) = (y^2 + (x - 2)^2 = 2);Expression(l) = (x - y + 2 = 0);Intersection(l, xAxis) = A;PointOnCurve(P, l);PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, P))",
+      "coords": {}
+    },
+    {
+      "index": 153,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 154,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 155,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0155.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Circle;Expression(G) = (x^2 + y^2 = a^2);L1: Line;L2: Line;TangentOfPoint(OneOf(Focus(C)), G) = {L1, L2};A: Point;B: Point;TangentPoint(L1, G) = A;TangentPoint(L2, G) = B;AngleOf(A, O, B) = ApplyUnit(120, degree);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 156,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0156.png",
+      "answer": "1",
+      "fact_expr": "P: Point;Q: Point;PointOnCurve(P,G) = True;PointOnCurve(Q,G) = True;G: Parabola;Expression(G) = (x^2 = 2*y);XCoordinate(P) = 4;XCoordinate(Q) = -2;L1: Line;L2: Line;TangentOfPoint(P,G) = L1;TangentOfPoint(Q,G) = L2;Intersection(L1,L2) = A;A:Point",
+      "coords": {}
+    },
+    {
+      "index": 157,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0157.png",
+      "answer": "(sqrt(17)-3)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(M, G);Distance(M,LeftFocus(G))=2*Distance(M,RightDirectrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 158,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0158.png",
+      "answer": "x^2/16-y^2/9=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;C:Parabola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (4, 3);PointOnCurve(H,OneOf(Asymptote(G)));Expression(C)=(y^2=20*x);PointOnCurve(OneOf(Focus(G)),Directrix(C))",
+      "coords": {
+        "H": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 159,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0159.png",
+      "answer": "(0, 1]+[9, +oo)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/3 + y^2/m = 1);m: Number;A: Point;B: Point;Endpoint(MajorAxis(C)) = {A, B};M: Point;PointOnCurve(M, C);AngleOf(A, M, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 160,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0160.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 161,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0161.png",
+      "answer": "(1, 2]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 162,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0162.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 163,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0163.png",
+      "answer": "x^2/10 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;Z: Hyperbola;Expression(G) = (x^2/5 - y^2/3 = 1);Asymptote(Z) = Asymptote(G);Expression(OneOf(Directrix(Z))) = (x = 5/2)",
+      "coords": {}
+    },
+    {
+      "index": 164,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0164.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;l: Line;Expression(G) = (y^2 = 8*x);Focus(G) = F;Directrix(G)=l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l)=A;Inclination(LineSegmentOf(A, F)) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 165,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0165.png",
+      "answer": "x^2+y^2=4/3",
+      "fact_expr": "G: Circle;Expression(G) = (x^2 + y^2 = 1);P: Point;TangentOfPoint(P,G) = {LineSegmentOf(P,A),LineSegmentOf(P,B)};TangentPoint(LineSegmentOf(P,A),G) = A;TangentPoint(LineSegmentOf(P,B),G) = B;A: Point;B: Point;AngleOf(A, P, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 166,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0166.png",
+      "answer": "16",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/16 + y^2/8 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l) ;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 167,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0167.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, C);O: Origin;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F2));Tan(AngleOf(P, F2, F1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 168,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 169,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0169.png",
+      "answer": "5/7",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;F2: Point;F1: Point;B: Point;LeftFocus(C) = F1;RightFocus(C)=F2;Expression(C)=(x^2/a^2 + y^2/b^2 = 1);PointOnCurve(F1, l);Intersection(l, C) = {A, B};DotProduct((VectorOf(A,F2)+VectorOf(F1,F2)),VectorOf(A,F1))=0;VectorOf(A,F1)=4/3*VectorOf(F1,B);a:Number;b:Number;a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 170,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0170.png",
+      "answer": "y = -1/8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/2)",
+      "coords": {}
+    },
+    {
+      "index": 171,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0171.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);O: Origin;Abs(VectorOf(O, P)) = Abs(VectorOf(O, F1));Area(TriangleOf(F1, F2, P)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 172,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0172.png",
+      "answer": "y^2=6*x",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F, l);Slope(l) = sqrt(3);Intersection(l, C) = {A, B};YCoordinate(MidPoint(LineSegmentOf(A,B))) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 173,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0173.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (1, 1);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 174,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0174.png",
+      "answer": "16/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 175,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0175.png",
+      "answer": "x^2/48-y^2/16=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;O:Origin;Expression(H) = (x^2 + 4*y^2 = 64);Center(G)=O;Vertex(G)=Focus(H);FocalLength(G) = 16",
+      "coords": {}
+    },
+    {
+      "index": 176,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0176.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Distance(RightFocus(G), Asymptote(G)) = sqrt(3)/4*FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 177,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0177.png",
+      "answer": "8",
+      "fact_expr": "l: Line;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (x1,y1);Coordinate(Q) = (x2,y2);PointOnCurve(Focus(G),l);Intersection(l, G) = {P,Q};x1:Number;x2:Number;y1:Number;y2:Number;x1+x2=6;G:Parabola",
+      "coords": {}
+    },
+    {
+      "index": 178,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 5.656854249492381,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0178.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;A: Point;x0:Number;y0:Number;Expression(G) = (x^2/4 - y^2/32 = 1);Coordinate(A) = (x0, y0);PointOnCurve(A, RightPart(G));Distance(A,RightFocus(G)) = 2*x0",
+      "coords": {}
+    },
+    {
+      "index": 179,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0179.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = -4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Slope(H) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 180,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/test/hyperbola/problem_0180.png",
+      "answer": "x^2/3-y^2/6=1",
+      "fact_expr": "G: Hyperbola;Coordinate(Focus(G)) = (pm*3, 0);Expression(Asymptote(G)) = (y=pm*(sqrt(2)*x))",
+      "coords": {}
+    },
+    {
+      "index": 181,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0181.png",
+      "answer": "y = 1",
+      "fact_expr": "C: Parabola;Expression(C) = (y = -x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 182,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0182.png",
+      "answer": "12",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/8 = 1);Coordinate(A) = (0, 4);RightFocus(C)= F;PointOnCurve(P,LeftPart(C))",
+      "coords": {
+        "A": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 183,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 184,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.33732376966822,
+        "b": 1.7454107534785184,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.8920117601792354e-05,
+        "converged": true,
+        "iterations": 51
+      },
+      "output_path": "results/test/hyperbola/problem_0184.png",
+      "answer": "{5/4, 5/3}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 185,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0185.png",
+      "answer": "y^2/7-x^2/14=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);G1: Hyperbola;Asymptote(G) = Asymptote(G1);H: Point;Coordinate(H) = (-2, -3);PointOnCurve(H, G1) = True",
+      "coords": {
+        "H": [
+          -2.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 186,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0186.png",
+      "answer": "10",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.3645083904266357,
+        "b": 1.1801031827926636,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.282816697312228e-06,
+        "converged": true,
+        "iterations": 88
+      },
+      "output_path": "results/test/hyperbola/problem_0187.png",
+      "answer": "5/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;Omega: Circle;M: Point;F1: Point;F2: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Omega) = (-2*y + x^2 + y^2 = 0);LeftFocus(C) = F1;RightFocus(C) = F2;Length(RealAxis(C)) = 2;Expression(Asymptote(C)) = (y = pm*(1/2)*x);Abs(LineSegmentOf(M, F1)) - Abs(LineSegmentOf(M, F2)) = 2;PointOnCurve(N, Omega)",
+      "coords": {}
+    },
+    {
+      "index": 188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0188.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Line;O: Origin;A: Point;F:Point;p>0;Expression(G) = (y^2 = p*x);Slope(H)=2;Focus(G)=F;PointOnCurve(F,H);Intersection(H,yAxis)=A;Area(TriangleOf(O,A,F))=1",
+      "coords": {}
+    },
+    {
+      "index": 189,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 190,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 191,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 192,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0192.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/3 - y^2 = 1);p>0;Expression(H) = (y^2 = -2*p*x);Focus(H) = LeftFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 193,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 194,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/test/hyperbola/problem_0194.png",
+      "answer": "y^2/3-x^2=1",
+      "fact_expr": "G: Hyperbola;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Point;Coordinate(H) = (0, 2);OneOf(Focus(G)) = H",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 195,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0195.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2=2*p*x);p: Number;p>0;A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G) = True;Focus(G) = F;F: Point;PointOnCurve(F,LineSegmentOf(A,B)) = True;l: Line;Directrix(G) = l;IsPerpendicular(LineSegmentOf(A,A1),l) = True;A1: Point;FootPoint(LineSegmentOf(A,A1),l) = A1;IsPerpendicular(LineSegmentOf(B,B1),l) = True;B1: Point;FootPoint(LineSegmentOf(B,B1),l) = B1;N: Point;MidPoint(LineSegmentOf(A1,B1)) = N;LineSegmentOf(A,A1) = 4;LineSegmentOf(B,B1) = 2",
+      "coords": {}
+    },
+    {
+      "index": 196,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 197,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 198,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 199,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0199.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;O: Origin;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Inclination(l)=pi/3;PointOnCurve(F,l);Intersection(l,C)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 200,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 201,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0201.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (x^2 = 4*y);PointOnCurve(P, G);Focus(G) = F;Distance(P,F) = 3",
+      "coords": {}
+    },
+    {
+      "index": 202,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0202.png",
+      "answer": "2\nApplyUnit(120, degree)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0203.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2=2*p*x);Coordinate(A) = (2, 4);PointOnCurve(OneOf(Focus(G)), Directrix(H));Eccentricity(G) = 2;p:Number;PointOnCurve(A,H)",
+      "coords": {
+        "A": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 204,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 205,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0205.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F1, l);P: Point;Q: Point;Intersection(l, LeftPart(G)) = {P, Q};Abs(LineSegmentOf(P, Q)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 206,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0206.png",
+      "answer": "sqrt(2)/4",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;A: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) ={F1,F2};IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Intersection(LineSegmentOf(P, F1), C) = A;Intersection(LineSegmentOf(P, F2), C) =B;Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(A, F1))",
+      "coords": {}
+    },
+    {
+      "index": 207,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0207.png",
+      "answer": "(-oo,-6)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/8);A: Point;Intersection(Directrix(G), SymmetryAxis(G)) = A;H: Line;PointOnCurve(A, H) = True;Intersection(H, G) = {M, N};M: Point;N: Point;PointOnCurve(B, SymmetryAxis(G)) = True;B: Point;DotProduct((VectorOf(B, M) + VectorOf(M, N)/2), VectorOf(M, N)) = 0;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 208,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0208.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G) = {F1,  F2};AngleOf(P, F1, F2) = pi/6;Abs(VectorOf(P, F1) + VectorOf(P, F2)) = Abs(VectorOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 209,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0209.png",
+      "answer": "{3,6}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;L: Line;PointOnCurve(F,L);Intersection(L, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B));H: Circle;Expression(H) = (x^2 + y^2 = 2*p);Length(InterceptChord(LineOf(A, B), H)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 210,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0210.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Circle;F: Point;A: Point;M: Point;O:Origin;Vertex(G)=O;Coordinate(F) = (0, 1);Focus(G)=F;Expression(H) = ((x + 1)^2 + (y - 4)^2 = 1);PointOnCurve(A,G);PointOnCurve(M,H)",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 211,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0211.png",
+      "answer": "{5,3}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 212,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0212.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;P: Point;F: Point;O: Origin;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(F,l);IsPerpendicular(l,OneOf(Asymptote(C)));Intersection(l,RightPart(C))=P;MidPoint(LineSegmentOf(P, F)) = A;Abs(LineSegmentOf(O, A)) = -a + (3*b)/2",
+      "coords": {}
+    },
+    {
+      "index": 213,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0213.png",
+      "answer": "sqrt(7)/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree);Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 214,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 215,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 216,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 217,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0217.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;I: Point;A: Point;B: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y^2 = 4*x);Coordinate(I) = (0, 2);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);IsChordOf(LineSegmentOf(A, B), G);Intersection(OverlappingLine(LineSegmentOf(A, B)), yAxis) = I",
+      "coords": {
+        "I": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 218,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 219,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 220,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0220.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Line;M: Point;A: Point;p>0;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (p, 0);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H,G) = {A, B};y1*y2=-2;B:Point;PointOnCurve(M,H)",
+      "coords": {}
+    },
+    {
+      "index": 221,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0221.png",
+      "answer": "4*a+2*m",
+      "fact_expr": "A: Point;B: Point;G: Hyperbola;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, RightPart(G));PointOnCurve(B, RightPart(G));Focus(G)={F1,F2};RightFocus(G) = F2;PointOnCurve(F2, LineSegmentOf(A, B));Abs(LineSegmentOf(A, B)) = m;m:Number;b:Number;a:Number",
+      "coords": {}
+    },
+    {
+      "index": 222,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0222.png",
+      "answer": "0.2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;L:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1,L);IsPerpendicular(L,xAxis);Intersection(L,G)=P;AngleOf(F1,P,F2)=ApplyUnit(45,degree)",
+      "coords": {}
+    },
+    {
+      "index": 223,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0223.png",
+      "answer": "-2",
+      "fact_expr": "l: Line;C: Parabola;A: Point;O: Origin;H: Point;B: Point;Expression(C) = (y^2 = 4*x);Coordinate(H) = (2, 0);PointOnCurve(H, l);Intersection(l, C) = {A, B}",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 224,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0224.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 225,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0225.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P,RightPart(C));Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));Expression(Asymptote(C)) = (y = pm*x);Area(TriangleOf(P, F1, F2)) = 4*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 226,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 227,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0227.png",
+      "answer": "25*pi/8",
+      "fact_expr": "L: Line;Expression(L) = (x - y - 4 = 0);P: Point;PointOnCurve(P,L) = True;Negation(PointOnCurve(P,xAxis));Z: Parabola;Expression(Z) = (x^2 = 4*y);L1: Line;L2: Line;TangentOfPoint(P,Z) = {L1,L2};Intersection(L1,xAxis) = G;G: Point;Intersection(L2,xAxis) = H;H: Point",
+      "coords": {}
+    },
+    {
+      "index": 228,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0228.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 229,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0229.png",
+      "answer": "-1/2",
+      "fact_expr": "m: Line;G: Ellipse;O: Origin;P: Point;P1: Point;P2: Point;Expression(G) = (x^2/2 + y^2 = 1);Intersection(m, G) = {P1, P2};MidPoint(LineSegmentOf(P1, P2)) = P;k1: Number;Slope(m) = k1;Negation(k1 = 0);k2: Number;Slope(LineOf(O, P)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 230,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0230.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/b^2 = 1);b: Number;0 < b;b < 2;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l) = True;l: Line;Intersection(l, G) = {A, B};B: Point;A: Point;Max(Abs(VectorOf(A, F2)) + Abs(VectorOf(B, F2))) = 5",
+      "coords": {}
+    },
+    {
+      "index": 231,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 232,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0232.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (y = x*(sqrt(3)/3))",
+      "coords": {}
+    },
+    {
+      "index": 233,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 234,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 235,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 236,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 237,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch;ellipse_focus_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.9999999999999996
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_0237.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;F: Point;O:Origin;Coordinate(F) = (1, 0);RightFocus(C) = F;Center(C)=O;Eccentricity(C)=1/2",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_ecc_mismatch",
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 238,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0238.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Focus(G)=F;Expression(G) = (y^2 = 4*x);PointOnCurve(M,G);Distance(M,F)=Abs(LineSegmentOf(M,F));Abs(LineSegmentOf(M,F))=4;XCoordinate(M)=x1;x1:Number",
+      "coords": {}
+    },
+    {
+      "index": 239,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0239.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (x^2 = 2*(p*y));Expression(H) = (y^2 + (x - 1)^2 = 9);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 240,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0240.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F2),VectorOf(P, F1));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 241,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 242,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 243,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 244,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0244.png",
+      "answer": "y^2=-36*(x-5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);H: Parabola;RightFocus(G) = Vertex(H);LeftVertex(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 245,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/test/hyperbola/problem_0245.png",
+      "answer": "{2,2*sqrt(3)/3}",
+      "fact_expr": "G: Hyperbola;O:Origin;Center(G)=O;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 246,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0246.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;P: Point;F1:Point;F2:Point;Expression(G) = (x^2/64 + y^2/36 = 1);PointOnCurve(P, G);OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 4",
+      "coords": {}
+    },
+    {
+      "index": 247,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0247.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;B: Point;A: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 + y^2/6 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, LineOf(A, B));Intersection(LineOf(A, B), G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 248,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0248.png",
+      "answer": "[-7, 1]",
+      "fact_expr": "l: Line;G: Ellipse;C: Point;A: Point;B: Point;Expression(G) = (x^2 + y^2/9 = 1);Coordinate(C) = (1, 1);a: Number;b: Number;Expression(l) = (a*x + b*y = 0);Intersection(l, G) = {A, B}",
+      "coords": {
+        "C": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 249,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0249.png",
+      "answer": "{0}+[1/2, oo)",
+      "fact_expr": "G: Parabola;H: Line;k: Number;Expression(G) = (y^2 = 2*x);Expression(H) = (y = k*x + 1);NumIntersection(H, G) <= 1",
+      "coords": {}
+    },
+    {
+      "index": 250,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 251,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 252,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0252.png",
+      "answer": "-4/5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;Expression(G) = (y = 2*x - 4);A: Point;B: Point;Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 253,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0253.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;B1: Point;B2: Point;UpperVertex(C) = B1;LowerVertex(C) = B2;M: Point;PointOnCurve(M, C);Negation(PointOnCurve(M, axis));Slope(LineOf(M, B1))*Slope(LineOf(M, B2)) = -b/(2*a)",
+      "coords": {}
+    },
+    {
+      "index": 254,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0254.png",
+      "answer": "{(-oo,0)+[4,oo)}",
+      "fact_expr": "G: Parabola;H: Curve;a: Real;Expression(G) = (y^2 = 8*x);Expression(H) = And(x^2/a+y^2/4=1,y>=0);NumIntersection(Directrix(G), H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 255,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0255.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F,H);A: Point;B: Point;Intersection(H, G) = {A, B};WhenMin(Abs(LineSegmentOf(A, F)) + 4*Abs(LineSegmentOf(B, F)))",
+      "coords": {}
+    },
+    {
+      "index": 256,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 257,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0257.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;PointOnCurve(A, G);F: Point;OneOf(Focus(G)) = F;IsPerpendicular(LineSegmentOf(A, F), xAxis);FocalLength(G) = Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 258,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0258.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = lambda*VectorOf(F, B);Abs(VectorOf(A, F)) = 3/2;lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 259,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0259.png",
+      "answer": "32/3",
+      "fact_expr": "G: Parabola;p: Number;H: Line;F: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(F) = (1, 0);Focus(G) = F;PointOnCurve(F, H);Intersection(H, Directrix(G)) = A;OneOf(Intersection(H, G)) = B;VectorOf(F, A) = -3*VectorOf(F, B)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 260,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0260.png",
+      "answer": "9",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F: Point;LeftFocus(C) = F;A: Point;Coordinate(A) = (-3, -3);P: Point;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          -3.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 261,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0261.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;O: Origin;Expression(G) = (y^2 = -8*x);Focus(G) = F;PointOnCurve(P, Directrix(G));PointOnCurve(A, G);Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 262,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0262.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Parabola;p: Number;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Quadrant(A) = 1;Quadrant(B) = 1;Abs(LineSegmentOf(A, F)) = 2;Abs(LineSegmentOf(B, F)) = 4;Abs(LineSegmentOf(A, B)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 263,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0263.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;O: Origin;M: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G),H);IsPerpendicular(RealAxis(G),H);Intersection(H,G) = {M,N};IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(O, N))",
+      "coords": {}
+    },
+    {
+      "index": 264,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0264.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;H: Circle;Z: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (y^2 + (x - 5)^2 = 4);Expression(Z) = (y^2 + (x + 5)^2 = 1);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, Z)",
+      "coords": {}
+    },
+    {
+      "index": 265,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0265.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = x*(sqrt(2)/2));Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 266,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0266.png",
+      "answer": "x^2-4*y^2=1",
+      "fact_expr": "O: Origin;P: Point;G: Hyperbola;M: Point;Expression(G) = (x^2/4 - y^2 = 1);PointOnCurve(P, G);MidPoint(LineSegmentOf(O, P)) = M",
+      "coords": {}
+    },
+    {
+      "index": 267,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.3166247903554,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 11.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0267.png",
+      "answer": "4*sqrt(11)",
+      "fact_expr": "l: Line;G: Ellipse;F1: Point;A: Point;B: Point;F2: Point;Expression(G) = (x^2/11 + y^2/7 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 268,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0268.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;c: Number;Coordinate(F) = (c, 0);RightFocus(C) = F;P: Point;PointOnCurve(P, C);G: Circle;Expression(G) = (y^2 + (-c/3 + x)^2 = b^2/9);Q: Point;TangentPoint(LineSegmentOf(P, F), G) = Q;VectorOf(P, Q) = 2*VectorOf(Q, F)",
+      "coords": {}
+    },
+    {
+      "index": 269,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0269.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Parabola;M: Point;F: Point;A: Point;Expression(C) = (x^2 = 4*y);Focus(C)=F;PointOnCurve(F,l);Slope(l)=sqrt(3);Intersection(l,C)={A,B};Intersection(TangentOnPoint(A,C),TangentOnPoint(B,C))=M;B:Point",
+      "coords": {}
+    },
+    {
+      "index": 270,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0270.png",
+      "answer": "sqrt(3)/4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;M: Point;O: Origin;Expression(G) = (x^2/12 + y^2/3 = 1);OneOf(Focus(G)) = F1;PointOnCurve(P, G);MidPoint(LineSegmentOf(P, F1)) = M;PointOnCurve(M, yAxis);Distance(M, O) = Abs(LineSegmentOf(M, O))",
+      "coords": {}
+    },
+    {
+      "index": 271,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0271.png",
+      "answer": "{x=0,4*x-3*y-3=0}",
+      "fact_expr": "l: Line;G: Parabola;H: Circle;Expression(G) = (x^2 = -4*y);Expression(H) = ((x - 1)^2 + (y - 2)^2 = 1);PointOnCurve(Focus(G),l);IsTangent(l,H)",
+      "coords": {}
+    },
+    {
+      "index": 272,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 273,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 274,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/test/hyperbola/problem_0274.png",
+      "answer": "2*sqrt(26)",
+      "fact_expr": "C: Hyperbola;m: Number;P: Point;F1: Point;F2: Point;m>0;Expression(C) = (x^2/4 - y^2/m = 1);Expression(Asymptote(C)) = (y = pm*(sqrt(2)*x));LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F1)) = m - 1",
+      "coords": {}
+    },
+    {
+      "index": 275,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0275.png",
+      "answer": "(4*x^2 - y^2 - 6*y - 1 = 0)&Negation(y = 0)\ny = -1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);P: Point;Q: Point;PointOnCurve(P, G) = True;PointOnCurve(Q, G) = True;Negation(Vertex(G) = P);Negation(Vertex(G) = Q);O: Origin;AngleOf(P, O, Q) = pi/4;l1: Line;l2: Line;PointOnCurve(P, l1) = True;PointOnCurve(Q, l2) = True;IsTangent(l1, G) = True;IsTangent(l2, G) = True;M: Point;Intersection(l1, l2) = M;A: Point;B: Point;Intersection(l1, xAxis) = A;Intersection(l2, xAxis) = B;l3: Line;PointOnCurve(Orthocenter(TriangleOf(A, B, M)), l3) = True;I: Point;Coordinate(I) = (0, -1/4);PointOnCurve(I, l3) = True",
+      "coords": {
+        "I": [
+          0.0,
+          -0.25
+        ]
+      }
+    },
+    {
+      "index": 276,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0276.png",
+      "answer": "3/4",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y = x^2/2);Intersection(l, G) = {A, B};A: Point;B: Point;IsPerpendicular(TangentOnPoint(A,G),TangentOnPoint(B,G)) = True;Coordinate(A) = (2, 2)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 277,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 278,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 279,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7841060161590576,
+        "b": 0.3689577579498291,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.885034397579147e-07,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_0279.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-sqrt(3)/2, 0);Coordinate(F2) = (sqrt(3)/2, 0);Focus(G) = {F1, F2};Quadrant(P) = 1;PointOnCurve(P, G);Tan(AngleOf(P, F1, F2)) = 1/2;Tan(AngleOf(P, F2, F1)) = -2",
+      "coords": {
+        "F1": [
+          -0.8660254037844386,
+          0.0
+        ],
+        "F2": [
+          0.8660254037844386,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 280,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0280.png",
+      "answer": "[sqrt(3)/2,1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;O: Circle;A: Point;P: Point;B: Point;l1: Line;l2: Line;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = b^2);TangentOfPoint(P, O) = {l1, l2};TangentPoint(l1,O)=A;TangentPoint(l2,O)=B;AngleOf(A, P, B) = ApplyUnit(60, degree);PointOnCurve(P,C)",
+      "coords": {}
+    },
+    {
+      "index": 281,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0281.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "E: Ellipse;a: Number;F1: Point;M: Point;F2: Point;Expression(E) = (y^2/3 + x^2/a^2 = 1);RightFocus(E) = F2;LeftFocus(E)=F1;PointOnCurve(M, E);AngleOf(F1, M, F2) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 282,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 283,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0283.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;F: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = (4/3)*x);RightFocus(G) = F;Intersection(H, G) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 284,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0284.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*(p*y));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;In(A,C);F1: Circle;Center(F1) = F;Radius(F1) = LineSegmentOf(F,A);B: Point;D: Point;Intersection(F1, l) = {B, D};AngleOf(B, F, D) = ApplyUnit(90, degree);Area(TriangleOf(A, B, D)) = 4*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 285,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0285.png",
+      "answer": "6-sqrt(2)",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;F1: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Coordinate(A) = (1, 1);LeftFocus(G) = F1;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 286,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0286.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;A: Point;O: Origin;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = b^2);l1: Line;l2: Line;TangentOfPoint(OneOf(Endpoint(MajorAxis(C))),G) = {l1,l2};TangentPoint(l1,G)=A;TangentPoint(l2,G)=B;AngleOf(A, O, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 287,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0287.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);H: Circle;PointOnCurve(Focus(G),H) = True;PointOnCurve(Vertex(G),H) = True;IsTangent(Directrix(G),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 288,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 289,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0289.png",
+      "answer": "[sqrt(5)/2, sqrt(6)/2]",
+      "fact_expr": "G: Curve;Expression(G) = (x^2/4 + y^2/m = 1);m: Number;In(m, [-2, -1])",
+      "coords": {}
+    },
+    {
+      "index": 290,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0290.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "M: Point;Coordinate(M) = (1, 1);G: Line;Slope(G) = -1/2;PointOnCurve(M, G);C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 291,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 292,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.33732376966822,
+        "b": 1.7454107534785184,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.8920117601792354e-05,
+        "converged": true,
+        "iterations": 51
+      },
+      "output_path": "results/test/hyperbola/problem_0292.png",
+      "answer": "x^2/16-y^2/9=1",
+      "fact_expr": "G: Hyperbola;Coordinate(OneOf(Focus(G))) = (-5, 0);Expression(Asymptote(G))=(pm*4*y+3*x=0)",
+      "coords": {}
+    },
+    {
+      "index": 293,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0293.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 294,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0294.png",
+      "answer": "(1, 3]",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, LeftPart(G)) = True;Min(Abs(VectorOf(P, F2))^2/Abs(LineSegmentOf(P, F1))) = 8*a",
+      "coords": {}
+    },
+    {
+      "index": 295,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0295.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/16 - y^2/b^2 = 1);b: Number;b>0;F: Point;LeftFocus(C) = F;M: Point;PointOnCurve(M, OneOf(Asymptote(C)));O: Origin;IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(M, F));Area(TriangleOf(O, M, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 296,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0296.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;O: Origin;PointOnCurve(O, G) = True;Slope(G) = 4/3;G: Line;Intersection(G, RightPart(C)) = A;A: Point;Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 297,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0297.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);G: Line;PointOnCurve(Focus(C), G);A: Point;B: Point;Intersection(G, C) = {A, B};L: Line;PointOnCurve(A, L);IsPerpendicular(L, Directrix(C));M: Point;FootPoint(L, Directrix(C)) = M;Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(B, M))",
+      "coords": {}
+    },
+    {
+      "index": 298,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0298.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;F2: Point;D: Point;F1: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;UpperVertex(C)=A;MidPoint(LineSegmentOf(A, F2)) = D;IsPerpendicular(VectorOf(A,F2),VectorOf(D,F1))",
+      "coords": {}
+    },
+    {
+      "index": 299,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 300,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0300.png",
+      "answer": "(sqrt(3),2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Point;PointOnCurve(G, C) ;Quadrant(G) = 1;H: Point;VectorOf(O, H) = VectorOf(O, G) + lambda*(VectorOf(G, F1)/Abs(VectorOf(G, F1)) + VectorOf(G, F2)/Abs(VectorOf(G, F2)));lambda: Number;Negation(lambda = 0);O: Origin;Intersection(LineOf(G,H), xAxis) = P;P : Point;Coordinate(P) = (sqrt(3)/3, 0)",
+      "coords": {
+        "P": [
+          0.5773502691896257,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 301,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0301.png",
+      "answer": "2*sqrt(13)/13",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(3*x-2*y=0);Vertex(G)=Focus(H);Focus(G)=Vertex(H)",
+      "coords": {}
+    },
+    {
+      "index": 302,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0302.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;D: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (a, 0);Coordinate(B) = (0, b);In(A,Vertex(G));In(B,Vertex(G));L1:Line;L2:Line;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(L1,LineSegmentOf(A,B));IsPerpendicular(L2,LineSegmentOf(A,B));Intersection(L1, G) = C;Intersection(L2, G) = D;Negation(C=D);2*Abs(LineSegmentOf(B, D)) = 3*Abs(LineSegmentOf(A, C))",
+      "coords": {}
+    },
+    {
+      "index": 303,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 304,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0304.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 305,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0305.png",
+      "answer": "x^2/36-y^2/12=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2 + 4*y^2 = 64);Focus(G) = Focus(H);Expression(OneOf(Asymptote(G))) = (x+sqrt(3)*y=0)",
+      "coords": {}
+    },
+    {
+      "index": 306,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0306.png",
+      "answer": "{2/3,6}",
+      "fact_expr": "W: Ellipse;m: Number;Expression(W) = (x^2/2 + y^2/m = 1);Eccentricity(W) = sqrt(6)/3",
+      "coords": {}
+    },
+    {
+      "index": 307,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0307.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (9*x^2 - 4*y^2 = 36)",
+      "coords": {}
+    },
+    {
+      "index": 308,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0308.png",
+      "answer": "3/2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;M: Point;Expression(G)=(y=x^2/2);Intersection(l,G)={A,B};Abs(LineSegmentOf(A,B))=4;IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {}
+    },
+    {
+      "index": 309,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0309.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 310,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 311,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 312,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0312.png",
+      "answer": "x^2=pm*2*y",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;F: Point;Focus(C) = F;P: Point;Coordinate(P) = (x0, p/8);x0: Number;PointOnCurve(P,C) = True;Abs(LineSegmentOf(P,F)) = 5/8",
+      "coords": {}
+    },
+    {
+      "index": 313,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0313.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;m: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2;PointOnCurve(RightFocus(G), H);IsPerpendicular(xAxis, H);Length(InterceptChord(H, G)) = m",
+      "coords": {}
+    },
+    {
+      "index": 314,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0314.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "M: Parabola;Expression(M) = (y^2 = 3*x);l: Line;H: Point;Coordinate(H) = (3, 0);PointOnCurve(H, l);A: Point;B: Point;Intersection(l, M) = {A, B};O: Origin",
+      "coords": {
+        "H": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 315,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0315.png",
+      "answer": "[3+2*sqrt(3),+oo)",
+      "fact_expr": "G: Hyperbola;O: Origin;P: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);PointOnCurve(P, RightPart(G));Center(G)=O;LeftFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 316,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 317,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0317.png",
+      "answer": "{1,3}",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x = p/2);PointOnCurve(A,G);PointOnCurve(B,G);Focus(G)=F;Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 4;Distance(MidPoint(LineSegmentOf(A,B)),H)=1",
+      "coords": {}
+    },
+    {
+      "index": 318,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0318.png",
+      "answer": "sqrt(15)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;UpperVertex(G) = A;P: Point;Quadrant(P) = 1;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 4*Abs(LineSegmentOf(F1, F2));Area(TriangleOf(P, F1, A))=2*Area(TriangleOf(P, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 319,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0319.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;p: Number;l: Line;A: Point;F: Point;M: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Expression(l)=(x=-5/4);PointOnCurve(M, C);Directrix(C)=l;PointOnCurve(A, l);IsPerpendicular(LineSegmentOf(M, A),l);Inclination(LineOf(A,F)) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 320,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0320.png",
+      "answer": "sqrt(37)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;Q: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, G) = {P, Q};IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(P, F1));Abs(LineSegmentOf(P, Q)) = (5/12)*Abs(LineSegmentOf(P, F1))",
+      "coords": {}
+    },
+    {
+      "index": 321,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0321.png",
+      "answer": "9",
+      "fact_expr": "E: Parabola;l1:Line;l2:Line;A: Point;B: Point;C: Point;D: Point;F:Point;Expression(E) = (y^2 = x);Focus(E)=F;PointOnCurve(F,l1);PointOnCurve(F,l2);IsPerpendicular(l1,l2);Intersection(l1,E)={A,B};Intersection(l2,E)={C,D}",
+      "coords": {}
+    },
+    {
+      "index": 322,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0322.png",
+      "answer": "2*x - y - 15 = 0",
+      "fact_expr": "G: Hyperbola;H: LineSegment;P: Point;Expression(G) = (x^2/16 - y^2/4 = 1);Coordinate(P) = (8, 1);IsChordOf(H, G);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 323,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0323.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);OneOf(Focus(G))=Focus(H);Distance(Focus(G),Asymptote(G))=1",
+      "coords": {}
+    },
+    {
+      "index": 324,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_0324.png",
+      "answer": "y=pm*(1/2)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 325,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0325.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;P: Point;y0: Number;Coordinate(P) = (6, y0);PointOnCurve(P, G);F: Point;Focus(G) = F;Abs(LineSegmentOf(P, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 326,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 327,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0327.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (y = x - 3);Focus(C) = F;Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0328.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 2);p>0;Expression(H) = (y^2 = 2*(p*x));PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 329,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0329.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;a:Number;b:Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = x);Coordinate(A) = (a, b);PointOnCurve(A,RightPart(G));Distance(A, H) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 330,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 331,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0331.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/15 = 1);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 332,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0332.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;P: Point;F1:Point;F2:Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Distance(P,F1)=2;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 333,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 334,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 335,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0335.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);P: Point;M: Point;F1: Point;F2: Point;Coordinate(M) = (6, 4);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 336,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0336.png",
+      "answer": "(-oo, -sqrt(6)/2]+[sqrt(6)/2, +oo)",
+      "fact_expr": "C: Ellipse;l: Line;k: Number;Expression(C) = (x^2/2 + y^2 = 1);Expression(l) = (y = k*x + 2);IsIntersect(l, C)",
+      "coords": {}
+    },
+    {
+      "index": 337,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0337.png",
+      "answer": "2*sqrt(30)",
+      "fact_expr": "C: Hyperbola;D:Hyperbola;b: Number;a: Number;G: Point;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Coordinate(G) = (2, 6);Expression(D)=(x^2/4-y^2/6=1);Asymptote(C)=Asymptote(D);PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          2.0,
+          6.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 338,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0338.png",
+      "answer": "2",
+      "fact_expr": "O: Circle;Expression(O) = (x^2 + y^2 = 1);P: Point;Coordinate(P) = (2, 0);L1: Line;L2: Line;TangentOfPoint(P, O) = {L1, L2};TangentPoint(L1, O) = A;TangentPoint(L2, O) = B;A: Point;B: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Z1: Line;Z2: Line;Asymptote(C) = {Z1, Z2};PointOnCurve(A, Z1);PointOnCurve(B, Z2)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 339,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0339.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Ellipse;a: Number;Expression(G) = (x^2/9 - y^2/3 = 1);a>0;Expression(H) = (y^2/4 + x^2/a^2 = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0340.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;a: Number;H: Circle;A: Point;M: Point;F2: Point;F1: Point;N: Point;a>0;Expression(G) = (-y^2/7 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;LeftVertex(G) = A;Center(H) = F2;Radius(H) = Abs(LineSegmentOf(F2, A));Intersection(H, RightPart(G)) = {M, N};PointOnCurve(N, PerpendicularBisector(LineSegmentOf(A, M)))",
+      "coords": {}
+    },
+    {
+      "index": 341,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0341.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/5 + y^2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 342,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/hyperbola/problem_0342.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(H) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 343,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 344,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0344.png",
+      "answer": "25/8",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 4);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B}",
+      "coords": {
+        "A": [
+          4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 345,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0345.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;XCoordinate(A) = 1;PointOnCurve(A, G);Distance(A, Focus(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 346,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0346.png",
+      "answer": "sqrt(41)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);l: Line;Directrix(G) = l;C: Point;Coordinate(C) = (-3, -4);P: Point;PointOnCurve(P, G);d: Number;Distance(P, l) = d",
+      "coords": {
+        "C": [
+          -3.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 347,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0347.png",
+      "answer": "(5/2,+oo)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;F2: Point;B: Point;P: Point;Q: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F2;LeftFocus(G)=F1;PointOnCurve(F1, H);IsPerpendicular(H,xAxis);Intersection(H, LeftPart(G)) = {A, B};Intersection(LineSegmentOf(A,F2),yAxis)=P;Intersection(LineSegmentOf(B, F2), yAxis) = Q;Perimeter(TriangleOf(P, Q, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 348,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0348.png",
+      "answer": "9*x-32*y+73=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;M: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(M) = (-1, 2);IsChordOf(H, G);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 349,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 350,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0350.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;H: Circle;U: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2 - y^2/15 = 1);Expression(H) = (y^2 + (x + 4)^2 = 4);Expression(U) = (y^2 + (x - 4)^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, U)",
+      "coords": {}
+    },
+    {
+      "index": 351,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0351.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;Coordinate(A) = (1, 3);P: Point;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 352,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0352.png",
+      "answer": "(0,-1/4)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2)",
+      "coords": {}
+    },
+    {
+      "index": 353,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0353.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;H: Ellipse;b: Number;Expression(G) = (x^2/2 - y^2/2 = 1);b>0;Expression(H) = (x^2/4 + y^2/b^2 = 1);PointOnCurve(Focus(H),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 354,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/test/hyperbola/problem_0354.png",
+      "answer": "-6",
+      "fact_expr": "Eccentricity(C) = 3*sqrt(5)/5;C: Hyperbola;Expression(C) = (-y^2/4 + x^2/a^2 = 1);a: Number;a>0;G: Parabola;m: Real;Expression(G) = (y^2 = 2*(m*x));LeftFocus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 355,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0355.png",
+      "answer": "(0,3)",
+      "fact_expr": "G: Parabola;F: Point;Expression(G) = (x^2 = 12*y);Focus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 356,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0356.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;P: Point;y0: Number;Coordinate(P) = (6, y0);PointOnCurve(P, G);F: Point;Focus(G) = F;Abs(LineSegmentOf(P, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 357,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0357.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-1, 0);Coordinate(F2) = (1, 0);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(VectorOf(P,F1))+Abs(VectorOf(P,F2))=4",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 358,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0358.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 6*x);Coordinate(A) = (x1, y1);Coordinate(P) = (2, 2);Focus(G) = F;x1: Number;y1: Number;PointOnCurve(A, G)",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 359,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 360,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0360.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;F1: Point;F2: Point;P: Point;PointOnCurve(P,G) = True;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 361,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/test/hyperbola/problem_0361.png",
+      "answer": "x^2/2-y^2/16=1",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-3*sqrt(2), 0);LeftFocus(C) = F1;Eccentricity(C)=3",
+      "coords": {
+        "F1": [
+          -4.242640687119286,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 362,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0362.png",
+      "answer": "Abs(a)/2",
+      "fact_expr": "G: Parabola;a: Number;Negation(a=0);Expression(G) = (y^2 = a*x)",
+      "coords": {}
+    },
+    {
+      "index": 363,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.818297058047652,
+        "b": 1.8186428324319301,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 8.798975889096597e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/test/ellipse/problem_0363.png",
+      "answer": "{x^2/16+y^2/4=1,y^2/64+x^2/16=1}",
+      "fact_expr": "O: Origin;Center(G) = O;G: Ellipse;PointOnCurve(Focus(G), axis);Length(MajorAxis(G)) = 2*Length(MinorAxis(G));P: Point;Coordinate(P) = (4, 0);PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 364,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0364.png",
+      "answer": "(x^2-y^2/8=1)&(x>=1)",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x + 3)^2 = 4);A: Point;M: Circle;Coordinate(A) = (3, 0);PointOnCurve(A, M);IsOutTangent(C, M);M1: Point;Center(M) = M1",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 365,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0365.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;P: Point;Expression(C) = (y^2 = 4*x);Coordinate(P) = (-1, 0);Focus(C) = F;PointOnCurve(P, l);Slope(l) = k;k:Number;k>0;Intersection(l, C) = {A, B};LineSegmentOf(A, F)>LineSegmentOf(B, F);Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F))",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 366,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0366.png",
+      "answer": "2",
+      "fact_expr": "Q: Point;Coordinate(Q) = (2*sqrt(2), 0);G: Parabola;Expression(G) = (y = x^2/4);P: Point;Coordinate(P) = (x0, y0);x0: Number;y0: Number;PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 367,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 368,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 369,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0369.png",
+      "answer": "25/4",
+      "fact_expr": "F: Point;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;Focus(C) = F;A: Point;B: Point;PointOnCurve(A, C) = True;PointOnCurve(B, C) = True;VectorOf(A, F) = 4*VectorOf(F, B);Projection(A, Directrix(C)) = M;Projection(B, Directrix(C)) = N;M: Point;N: Point;Area(TriangleOf(M, F, N)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 370,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.33732376966822,
+        "b": 1.7454107534785184,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.8920117601792354e-05,
+        "converged": true,
+        "iterations": 51
+      },
+      "output_path": "results/test/hyperbola/problem_0370.png",
+      "answer": "{5/3,5/4}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 371,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0371.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);PointOnCurve(Focus(G),H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 6;XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 372,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0372.png",
+      "answer": "",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);c: Number;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), xAxis) ;AngleOf(P, F2, F1) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 373,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.8993116218750659,
+        "b": 1.324128928251209,
+        "major_axis": "x",
+        "x_coef": 3.999999999999999,
+        "y_coef": 2.000000000000001
+      },
+      "optimization": {
+        "final_loss": 0.013791354113027786,
+        "converged": true,
+        "iterations": 100
+      },
+      "output_path": "results/test/ellipse/problem_0373.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "G: Ellipse;H: Point;I: Point;Coordinate(H) = (sqrt(2), 1);Coordinate(I) = (sqrt(3), sqrt(2)/2);PointOnCurve(H, G);PointOnCurve(I, G)",
+      "coords": {
+        "H": [
+          1.4142135623730951,
+          1.0
+        ],
+        "I": [
+          1.7320508075688772,
+          0.7071067811865476
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 374,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0374.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/20 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G)) = True;MidPoint(LineSegmentOf(P, F2)) = M;M: Point;O: Origin;Center(H) = O;Radius(H) = LineSegmentOf(O, F1);H: Circle;PointOnCurve(M, H) = True",
+      "coords": {}
+    },
+    {
+      "index": 375,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0375.png",
+      "answer": "5/3",
+      "fact_expr": "G: Parabola;p: Number;H: Line;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Distance(F,Directrix(G)) = 2;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 376,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 377,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0377.png",
+      "answer": "8/5",
+      "fact_expr": "C: Parabola;p: Number;A: Point;P: Point;H: Point;0 < p;p < 4;Expression(C) = (x^2 = 2*(p*y));Coordinate(A) = (0, 4);Directrix(C) = l ;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, H),l);Abs(LineSegmentOf(P, H)) = Abs(LineSegmentOf(P, A));AngleOf(A, P, H) = ApplyUnit(120, degree);l:Line;FootPoint(LineSegmentOf(P, H),l)=H",
+      "coords": {
+        "A": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 378,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 379,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0379.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;F1: Point;F2:Point;B: Point;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Slope(l)=sqrt(5)/2;LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1,l);Intersection(l,LeftPart(G))=A;Intersection(l,RightPart(G))=B;PointOnCurve(F2,PerpendicularBisector(LineSegmentOf(F1,B)))",
+      "coords": {}
+    },
+    {
+      "index": 380,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 381,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0381.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "H: Line;Expression(H) = (y = (sqrt(3)/3)*x);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Intersection(H, G) = {A, B};F: Point;RightFocus(G) = F;IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 382,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0382.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "P: Point;Coordinate(P) = (2, 0);H: Line;PointOnCurve(P, H) = True;C: Parabola;Expression(C) = (y^2 = 4*x);Intersection(H, C) = {A, B};A: Point;O: Origin;B: Point;H1: Line;Expression(H1) = (x=-2);Intersection(LineOf(O,A),H1) = M;Intersection(LineOf(O,B),H1) = N;M: Point;N: Point;G: Circle;IsDiameter(LineSegmentOf(M,N),G) = True",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 383,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0383.png",
+      "answer": "y^2-4*x-y+4=0",
+      "fact_expr": "M: Point;Coordinate(M) = (1, 1);H: Line;PointOnCurve(M, H);G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 384,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 385,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0385.png",
+      "answer": "(sqrt(21)/7)+6",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/9 + y^2/8 = 1);F1: Point;F2: Point;LeftFocus(H) = F1;RightFocus(H) = F2;P: Point;PointOnCurve(P, H);Q: Point;lambda: Real;VectorOf(F1, P) = lambda*VectorOf(P, Q);Abs(VectorOf(P, Q)) = Abs(VectorOf(P, F2));G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1);lambda>0",
+      "coords": {}
+    },
+    {
+      "index": 386,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0386.png",
+      "answer": "(1,sqrt(2))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Line;PointOnCurve(RightFocus(G), H) = True;Inclination(H) = ApplyUnit(45, degree);NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0387.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 388,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0388.png",
+      "answer": "-2/3",
+      "fact_expr": "M: Point;Coordinate(M) = (2, 1);PointOnCurve(M, l) ;l: Line;G: Ellipse;Expression(G) = (x^2/12 + y^2/4 = 1);Intersection(l, G) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 389,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0389.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Point;Coordinate(H) = (3, -4);PointOnCurve(H, OneOf(Asymptote(G)))",
+      "coords": {
+        "H": [
+          3.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 390,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/test/parabola/problem_0390.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;Coordinate(M) = (1, 2);PointOnCurve(M, G);l: Line;A: Point;B: Point;Negation(A=B);Intersection(l, G) = {A, B};t: Number;Coordinate(Center(InscribedCircle(TriangleOf(M, A, B)))) = (1, t)",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 391,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0391.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C) = True;Abs(LineSegmentOf(P, F)) = 8;M: Point;MidPoint(LineSegmentOf(P, F)) = M",
+      "coords": {}
+    },
+    {
+      "index": 392,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0392.png",
+      "answer": "(sqrt(3)+sqrt(39))/6",
+      "fact_expr": "l: Line;Gamma: Hyperbola;A: Point;O: Origin;B: Point;Expression(Gamma) = (-y^2/b^2 + x^2/a^2 = 1);a:Number;b:Number;a>0;b>0;Expression(l)=(x = sqrt(a^2 + b^2));Intersection(l, Gamma) = {A, B};DotProduct((VectorOf(A, B) + VectorOf(A, O)),VectorOf(B, O)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 393,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0393.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Line;Expression(G) = (2*x - y = 0);OneOf(Asymptote(C)) = G",
+      "coords": {}
+    },
+    {
+      "index": 394,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 395,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0395.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;p: Number;F: Point;l: Line;H: Line;A: Point;B: Point;M: Point;N: Point;Q: Point;p > 0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(F, H);Inclination(H) = ApplyUnit(60, degree);Intersection(H, C) = {A, B};IsPerpendicular(LineSegmentOf(A, M), l);IsPerpendicular(LineSegmentOf(B, N), l);FootPoint(LineSegmentOf(A, M), l) = M;FootPoint(LineSegmentOf(B, N), l) = N;MidPoint(LineSegmentOf(M, N)) = Q;Abs(LineSegmentOf(Q, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 396,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 397,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/test/parabola/problem_0397.png",
+      "answer": "x-y-1=0",
+      "fact_expr": "G: Parabola;p: Number;M: Point;Expression(G) = (x^2 = 2*(p*y));Coordinate(M) = (2, 1);PointOnCurve(M, G);l:Line;IsTangent(l,G);TangentPoint(l,G)=M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 398,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 399,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0399.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));AngleOf(P, F1, F2) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 400,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 401,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0401.png",
+      "answer": "(-12, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 + y^2/k = 1);k: Number;e: Number;Eccentricity(G) = e;In(e, (1, 2))",
+      "coords": {}
+    },
+    {
+      "index": 402,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0402.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;H:Line;A: Point;C: Point;B: Point;D: Point;F:Point;l1:Line;l2:Line;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, H);Intersection(H,G)={A,B};PointOnCurve(A,l1);PointOnCurve(B,l2);IsPerpendicular(l1,xAxis);IsPerpendicular(l2,yAxis);FootPoint(l1,xAxis)=C;FootPoint(l2,yAxis)=D",
+      "coords": {}
+    },
+    {
+      "index": 403,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0403.png",
+      "answer": "{2*sqrt(41) - 2, 10}",
+      "fact_expr": "G: Curve;a: Number;F1: Point;F2: Point;P: Point;Expression(G) = (y^2/16 + x^2/a = 1);FocalLength(G) = 10;PointOnCurve(P, G);OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 2",
+      "coords": {}
+    },
+    {
+      "index": 404,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 405,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 406,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0406.png",
+      "answer": "5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(VectorOf(P, F1)) = 3;Abs(VectorOf(P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 407,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0407.png",
+      "answer": "(1,0);sqrt(2)/2",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y^2 = 4*x);F: Point;Focus(H) = F",
+      "coords": {}
+    },
+    {
+      "index": 408,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0408.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/b^2 = 1);b: Number;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Abs(LineSegmentOf(F1, F2)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0409.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 6*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 410,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0410.png",
+      "answer": "(pm*sqrt(5),0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 411,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 412,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0412.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 413,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0413.png",
+      "answer": "(0, 1/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y)",
+      "coords": {}
+    },
+    {
+      "index": 414,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0414.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 2);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 415,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 416,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0416.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;A: Point;L1:Line;L2:Line;Expression(G) = (x^2 = 2*y);PointOnCurve(P,G);PointOnCurve(Q,G);XCoordinate(P)=4;XCoordinate(Q)=-2;TangentOfPoint(P,G)=L1;TangentOfPoint(Q,G)=L2;Intersection(L1,L2)=A",
+      "coords": {}
+    },
+    {
+      "index": 417,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0417.png",
+      "answer": "[2,2*sqrt(2))",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/2 + y^2 = 1);Coordinate(P) = (x0, y0);Focus(C)={F1,F2};x0:Number;y0:Number;0<x0^2/2+y0^2;x0^2/2+y0^2<1",
+      "coords": {}
+    },
+    {
+      "index": 418,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0418.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 8*x);Focus(G)=F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0419.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 420,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0420.png",
+      "answer": "pi/3",
+      "fact_expr": "C: Parabola;G: Line;B: Point;A: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Quadrant(A)=1;Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 421,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0421.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;c: Number;M: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = sqrt(3)*(c + x));LeftFocus(C) = F1;RightFocus(C) = F2;FocalLength(C) = 2*c;OneOf(Intersection(G, C)) = M;AngleOf(M, F1, F2) = 2*AngleOf(M, F2, F1)",
+      "coords": {}
+    },
+    {
+      "index": 422,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0422.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;P: Point;A: Point;F: Point;Expression(C) = (x^2 = 4*y);Intersection(Directrix(C), axis) = A;PointOnCurve(P, C);Focus(C)=F",
+      "coords": {}
+    },
+    {
+      "index": 423,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0423.png",
+      "answer": "25/8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, LeftPart(G));l: Line;OneOf(Asymptote(G)) = l;Q: Point;Projection(P, l) = Q;Min(Abs(LineSegmentOf(P, F2)) + Abs(LineSegmentOf(P, Q))) = 5",
+      "coords": {}
+    },
+    {
+      "index": 424,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0424.png",
+      "answer": "[-sqrt(5), -1) + (-1, 1) + (1, sqrt(5)]",
+      "fact_expr": "A: Point;Coordinate(A) = (0, 2);l: Line;PointOnCurve(A, l);G: Curve;Expression(G) = (x^2 - y^2 = 1);IsIntersect(l, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 425,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.8176298651812968,
+        "b": 2.452642014841466,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4992967561765154e-06,
+        "converged": true,
+        "iterations": 283
+      },
+      "output_path": "results/test/hyperbola/problem_0425.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/b^2 = 1);b: Number;b>0;Expression(OneOf(Asymptote(G))) = (y = 3*x)",
+      "coords": {}
+    },
+    {
+      "index": 426,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0426.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;O: Point;P: Point;F: Point;Expression(G) = (x^2/2 + y^2 = 1);PointOnCurve(P, G);Center(G) = O;LeftFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 427,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0427.png",
+      "answer": "(sqrt(2)/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;Coordinate(A) = (a, 0);RightVertex(G) = A;P: Point;PointOnCurve(P, G) = True;O: Origin;AngleOf(A, P, O) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 428,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 429,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 430,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 431,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0431.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);G: Line;O:Origin;PointOnCurve(O,G);P: Point;F: Point;Q: Point;a>0;b>0;Intersection(G, C) = {P, Q};OneOf(Focus(C)) = F;Tan(AngleOf(P, F, Q)) = 4/3;Abs(LineSegmentOf(Q, F)) = 5*Abs(LineSegmentOf(P, F));Negation(P=Q)",
+      "coords": {}
+    },
+    {
+      "index": 432,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0432.png",
+      "answer": "x^2/2 + y^2 = 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;O: Circle;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = 1);RightFocus(C) = F2;L:Line;TangentOnPoint(F2, O)=L;Length(InterceptChord(L,C))=sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 433,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0433.png",
+      "answer": "1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Point;H: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (e, 1);Coordinate(H) = (-sqrt(3), sqrt(2));Eccentricity(C) = e;PointOnCurve(G, C);PointOnCurve(H, C)",
+      "coords": {
+        "H": [
+          -1.7320508075688772,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 434,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0434.png",
+      "answer": "(x - 3)^2 + y^2 = 1",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2/8 - y^2 = 1);Center(H) = RightFocus(G);IsTangent(H, Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 435,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 436,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0436.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};O: Origin;G: Circle;Center(G) = O;Radius(G) = b;P: Point;Intersection(G, C) = P;Quadrant(P) = 1;IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 437,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0437.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Circle;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a = 1);Expression(H) = (-6*x + x^2 + y^2 + 8 = 0);OneOf(Focus(G)) = Center(H);Length(MinorAxis(G))=8",
+      "coords": {}
+    },
+    {
+      "index": 438,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0438.png",
+      "answer": "(2/3)*sqrt(3)",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;p>0;Expression(G) = (x^2/3 - 16*y^2/p^2 = 1);Expression(H) = (y^2 = 2*(p*x));PointOnCurve(LeftFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 439,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0439.png",
+      "answer": "8",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(E) = {F1, F2};l: Line;PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, E) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 440,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0440.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 + (x - 2)^2 = 3);IsTangent(H, Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 441,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0441.png",
+      "answer": "x^2/3-y^2/5=1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/8 + y^2/5 = 1);Focus(H) = Vertex(C);C: Hyperbola;Focus(C) = Vertex(H)",
+      "coords": {}
+    },
+    {
+      "index": 442,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0442.png",
+      "answer": "2*x-y-15=0",
+      "fact_expr": "P: Point;Coordinate(P) = (8, 1);G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);H: LineSegment;IsChordOf(H,G) = True;MidPoint(H) = P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 443,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0443.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;LeftVertex(C) = A;F: Point;RightFocus(C) = F;G: Circle;Center(G) = F;B: Point;Quadrant(B) = 1;TangentPoint(G, OneOf(Asymptote(C))) = B;Slope(LineOf(A, B)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 444,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.496487617492676,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 5.969127983007638e-07,
+        "converged": true,
+        "iterations": 103
+      },
+      "output_path": "results/test/parabola/problem_0444.png",
+      "answer": "13/2",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(P) = (2, 6);PointOnCurve(P, C);Focus(C) = F",
+      "coords": {
+        "P": [
+          2.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 445,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0445.png",
+      "answer": "3*sqrt(10)",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/9 = 1);Expression(H) = (x = 1);LeftFocus(G)=F1;RightFocus(G)=F2;Intersection(H,OneOf(Asymptote(G)))=P",
+      "coords": {}
+    },
+    {
+      "index": 446,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0446.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F: Point;x1: Number;x2: Number;y1: Number;y2: Number;Expression(G) = (y^2 = 2*x);Coordinate(A) = (x1, y1) ;Coordinate(B) = (x2, y2);Focus(G) = F;PointOnCurve(F, l);x1 + x2 = 3;Intersection(l, G) = {A, B};Negation(A = B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 447,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0447.png",
+      "answer": "(0,1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 448,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 12.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0448.png",
+      "answer": "{30,10}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/144 = 1);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (13, 0);Distance(P, A) = 20;B: Point;Coordinate(B) = (-13, 0)",
+      "coords": {
+        "A": [
+          13.0,
+          0.0
+        ],
+        "B": [
+          -13.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 449,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_0449.png",
+      "answer": "x^2/4-y^/12=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 16*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 450,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0450.png",
+      "answer": "x+2y-3=0",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2 + 2*y^2 = 4);P: Point;Coordinate(P) = (1, 1);L: Line;PointOnCurve(P, L) = True;Intersection(L, C) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 451,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0451.png",
+      "answer": "1/16",
+      "fact_expr": "H: Circle;Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);G: Parabola;Expression(G) = (y = a*x^2);a: Number;a>0;IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 452,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0452.png",
+      "answer": "sqrt(2) - 1",
+      "fact_expr": "E: Parabola;p: Number;C: Ellipse;a: Number;b: Number;F: Point;p>0;Expression(E) = (y^2 = 2*(p*x));Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(E) = F;RightFocus(C) = F;A: Point;B: Point;Intersection(C, E) = {A, B};PointOnCurve(F, LineOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 453,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 454,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0454.png",
+      "answer": "",
+      "fact_expr": "G: Hyperbola;H: Curve;a: Number;Expression(G) = (x^2/9 - y^2/4 = 1);Expression(H) = (y = a*x^2 + 1/3);L1:Line;L2:Line;Asymptote(G)={L1,L2};IsTangent(L1,H);IsTangent(L2,H)",
+      "coords": {}
+    },
+    {
+      "index": 455,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0455.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Line;PointOnCurve(Focus(G), H);Slope(H) = -1;A: Point;B: Point;Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 456,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0456.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;A: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (x0, -2);x0:Number;PointOnCurve(A,G);Distance(A,Focus(G))=3*Distance(A,yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 457,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 458,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0458.png",
+      "answer": "6",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 + y^2/12 = 1);Focus(C) = {F1,F2};PointOnCurve(P, C);Abs(LineSegmentOf(P, F2)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 459,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0459.png",
+      "answer": "4/3",
+      "fact_expr": "l: Line;C: Parabola;F: Point;M: Point;P: Point;Q: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {P, Q};Intersection(l, Directrix(C)) = M;VectorOf(F, M) = 3*VectorOf(F, P)",
+      "coords": {}
+    },
+    {
+      "index": 460,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 461,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0461.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;I: Point;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(I) = (1, sqrt(3)/2);PointOnCurve(I, H);Focus(G)=Focus(H)",
+      "coords": {
+        "I": [
+          1.0,
+          0.8660254037844386
+        ]
+      }
+    },
+    {
+      "index": 462,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0462.png",
+      "answer": "63/4",
+      "fact_expr": "P: Point;Coordinate(P) = (5, 0);C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);M: Point;N: Point;PointOnCurve(M,RightPart(C)) ;PointOnCurve(N,RightPart(C)) ;IsPerpendicular(VectorOf(P, M), VectorOf(P, N))",
+      "coords": {
+        "P": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 463,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0463.png",
+      "answer": "4*sqrt(6)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C)) = True;Abs(LineSegmentOf(P, F2)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 464,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0464.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;M: Point;A: Point;B: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = M;RightFocus(G) = F;PointOnCurve(F, l);IsPerpendicular(xAxis, l);Intersection(l, G) = {A,B};IsPerpendicular(LineSegmentOf(M, A), LineSegmentOf(M, B))",
+      "coords": {}
+    },
+    {
+      "index": 465,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0465.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "G:Hyperbola;a:Number;b:Number;a>0;b>0;C:Parabola;e:Number;Expression(G)=(x^2/a^2-y^2/b^2=1);Expression(C)=(y^2=8*x);Eccentricity(G)=e;e=2;OneOf(Focus(G))=Focus(C)",
+      "coords": {}
+    },
+    {
+      "index": 466,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0466.png",
+      "answer": "2",
+      "fact_expr": "C1: Parabola;C2: Circle;M: Point;A: Point;B: Point;Coordinate(M) = (1, 1);Expression(C1) = (y^2 = 8*x);Expression(C2) = (x^2+y^2-4*x+3=0);PointOnCurve(A, C1);PointOnCurve(B, C2)",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 467,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 468,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0468.png",
+      "answer": "(1/2, 2/3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;B: Point;F: Point;k: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;PointOnCurve(A, G);Slope(G) = k;Intersection(G, C) = {A, B};Projection(B, xAxis) = F;RightFocus(C) = F;1/3 < k;k < 1/2",
+      "coords": {}
+    },
+    {
+      "index": 469,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 470,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0470.png",
+      "answer": "(-1,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x)",
+      "coords": {}
+    },
+    {
+      "index": 471,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0471.png",
+      "answer": "",
+      "fact_expr": "P: Point;Coordinate(P) = (2, 1);G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 472,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0472.png",
+      "answer": "{0,-1,-4/5}",
+      "fact_expr": "G: Line;Expression(G) = (y = x*(a + 1) - 1);H: Curve;Expression(H) = (y^2 = a*x);a: Real;NumIntersection(G, H)=1",
+      "coords": {}
+    },
+    {
+      "index": 473,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0473.png",
+      "answer": "14",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b = 1);Expression(Asymptote(G)) = (y = pm*x)",
+      "coords": {}
+    },
+    {
+      "index": 474,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0474.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Eccentricity(G) = 2;H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 475,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 476,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0476.png",
+      "answer": "17/8",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (y = 2*x^2);Coordinate(A) = (1, 2);PointOnCurve(A, G);Focus(G) = F;F: Point",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 477,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0477.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;HalfFocalLength(G) = c;c: Number;PointOnCurve(RightFocus(G), L);Slope(L) = 1;L: Line;NumIntersection(L, RightPart(G)) = 2;H: Parabola;Expression(H) = (y^2 = 4*c*x);Length(InterceptChord(Directrix(H), G)) = (2*sqrt(2)/3)*b*e^2;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 478,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "y",
+        "x_coef": 27.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0478.png",
+      "answer": "y^2/4-x^2/5=1",
+      "fact_expr": "C: Hyperbola;F:Ellipse;P:Point;Expression(F) = (x^2/27 + y^2/36 = 1);Coordinate(P) = (sqrt(15), 4);Focus(C) = Focus(F);PointOnCurve(P,C)",
+      "coords": {
+        "P": [
+          3.872983346207417,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 479,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0479.png",
+      "answer": "4*x+9*y-13=0",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;M: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(M) = (1, 1);Intersection(G, H) = {A,B};IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A, B)) = M;PointOnCurve(M,H)",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0480.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F,l);Slope(l)=a/b;L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(L1,l)=A;Intersection(L2,l)=B;VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 481,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0481.png",
+      "answer": "5*sqrt(5)/3",
+      "fact_expr": "L: Line;Slope(L) = 2;G: Ellipse;Expression(G) = (x^2/5 + y^2/4 = 1);RightFocus(G) = F2;F2: Point;PointOnCurve(F2, L) = True;Intersection(L, G) = {A, B};A: Point;B: Point;IsChordOf(LineSegmentOf(A,B), G) = True",
+      "coords": {}
+    },
+    {
+      "index": 482,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0482.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 483,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0483.png",
+      "answer": "-1",
+      "fact_expr": "C: Parabola;p: Number;Z: Line;A: Point;F: Point;M: Point;B: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(M) = (-1, 4);Focus(C) = F;PointOnCurve(M, Z);IsPerpendicular(Z, yAxis);Intersection(Z, C) = A;Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(A, M));Intersection(LineOf(A, F), C) = {A, B}",
+      "coords": {
+        "M": [
+          -1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 484,
+      "success": false,
+      "error": "Circle from diameter: cannot parse diameter pattern"
+    },
+    {
+      "index": 485,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0485.png",
+      "answer": "20",
+      "fact_expr": "C: Hyperbola;A: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 - y^2/4 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, LeftPart(C));Abs(LineSegmentOf(A, F1)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 486,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 487,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0487.png",
+      "answer": "8*sqrt(6)/9",
+      "fact_expr": "l: Line;G: Parabola;p: Number;F: Point;A: Point;B: Point;m:Number;p>0;Expression(G) = (y^2 = 2*p*x);Expression(l)=(y=-x+m);m>=0;m<1;Coordinate(F) = (-1, 0);Focus(G) = F;Intersection(l,G) = {A, B};Negation(A = B)",
+      "coords": {
+        "F": [
+          -1.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 488,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0488.png",
+      "answer": "(0,1)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y)",
+      "coords": {}
+    },
+    {
+      "index": 489,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 490,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0490.png",
+      "answer": "7/2",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);IsPerpendicular(H, xAxis);IsIntersect(H, G);OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 491,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0491.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);IsPerpendicular(xAxis, H);Intersection(H, G) = P",
+      "coords": {}
+    },
+    {
+      "index": 492,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0492.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Distance(RightFocus(G), OneOf(Asymptote(G))) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 493,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0493.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 494,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0494.png",
+      "answer": "5/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A,G) = True;PointOnCurve(B,G) = True;VectorOf(A,F)= 3*VectorOf(F,B)",
+      "coords": {}
+    },
+    {
+      "index": 495,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0495.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(M,G);LeftFocus(G)=F1;Distance(M,F1)=2;MidPoint(LineSegmentOf(M,F1))=N",
+      "coords": {}
+    },
+    {
+      "index": 496,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 497,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0497.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Slope(OneOf(Asymptote(G)))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 498,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 499,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0499.png",
+      "answer": "x^2/4 + y^2 = 1",
+      "fact_expr": "C: Circle;N: Point;P: Point;M: Point;O: Origin;l: Line;Expression(C) = (x^2 + y^2 = 4);PointOnCurve(M, C);PointOnCurve(M, l);IsPerpendicular(l, xAxis);FootPoint(l, xAxis) = N;VectorOf(N, P) = VectorOf(P, M)",
+      "coords": {}
+    },
+    {
+      "index": 500,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0500.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;c: Number;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(C) = c;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 501,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0501.png",
+      "answer": "(2, 1)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (2, 3);WhenMin(LineSegmentOf(P, A) + LineSegmentOf(P, F))",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 502,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0502.png",
+      "answer": "33",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/64 - y^2/36 = 1);M: Point;PointOnCurve(M, G) = True;LeftFocus(G) = F1;RightFocus(G) = F2;F1: Point;F2: Point;Abs(LineSegmentOf(M, F1)) = 17",
+      "coords": {}
+    },
+    {
+      "index": 503,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 504,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0504.png",
+      "answer": "7/3",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 + y^2/7 = 1);PointOnCurve(P, C);Focus(C) = {F1, F2};Radius(InscribedCircle(TriangleOf(P,F1,F2)))=1;Quadrant(P)=1",
+      "coords": {}
+    },
+    {
+      "index": 505,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0505.png",
+      "answer": "18",
+      "fact_expr": "C: Parabola;l1: Line;l2: Line;A: Point;B: Point;D: Point;E: Point;F: Point;Expression(C) = (x^2 = 2*y);Focus(C) = F;PointOnCurve(F,l1);PointOnCurve(F,l2);IsPerpendicular(l1,l2);Intersection(l1, C) = {A, B};Intersection(l2, C) = {D,E}",
+      "coords": {}
+    },
+    {
+      "index": 506,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0506.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;M: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = ((x + 1)^2 + (y - 3)^2 = 1);LeftFocus(G)=F1;PointOnCurve(P,G);PointOnCurve(M, H)",
+      "coords": {}
+    },
+    {
+      "index": 507,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/test/hyperbola/problem_0507.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/2 + x^2/a^2 = 1);a: Number;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = pi/3;Eccentricity(G) = sqrt(6)/2",
+      "coords": {}
+    },
+    {
+      "index": 508,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0508.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;C: Point;Intersection(Directrix(G), xAxis) = C;H: Circle;Center(H) = F;Radius(H) = p;A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 509,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0509.png",
+      "answer": "(0,sqrt(2)-1]",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F2: Point;F1: Point;LeftFocus(E) = F1;RightFocus(E) = F2;A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),E);PointOnCurve(F1,LineSegmentOf(A,B));Abs(VectorOf(F2,A)-VectorOf(F2,B)) >= Abs(VectorOf(F2,A)+VectorOf(F2,B))",
+      "coords": {}
+    },
+    {
+      "index": 510,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/test/parabola/problem_0510.png",
+      "answer": "pi/3",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 2);E: Parabola;Expression(E) = (y^2 = 2*p*x);p: Number;p>0;PointOnCurve(P, E);M: Point;Coordinate(M) = (1, 0);PointOnCurve(M, l);Slope(l) > 0;l: Line;Intersection(l, E) = {A, B};A: Point;B: Point;VectorOf(A, M) = 3*VectorOf(M, B)",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ],
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 511,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0511.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G)=A;UpperVertex(G)=B;RightFocus(G) = F;IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, F));a > b;b > 0",
+      "coords": {}
+    },
+    {
+      "index": 512,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0512.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;O: Origin;M: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(M, G);Abs(LineSegmentOf(M, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 513,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 514,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0514.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;UpperVertex(G) = B;Length(MinorAxis(G)) = 4;Eccentricity(G)=sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 515,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0515.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(A, G);Focus(G) = F;Abs(LineSegmentOf(A,F))=4;AngleOf(O, F, A) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 516,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0516.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;p: Number;M: Point;F: Point;m:Number;m>0;Expression(G) = (x^2/2 - y^2/b^2 = 1);p>0;Expression(H) = (y^2 = 2*p*x);Coordinate(M) = (1, m);PointOnCurve(M, H);Focus(H) = F;Distance(M, F) = 5;Distance(F,OneOf(Asymptote(G))) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 517,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 518,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0518.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);L1: Line;L2: Line;Asymptote(G) = {L1, L2};Distance(P, L1)*Distance(P, L2) = b^2/3",
+      "coords": {}
+    },
+    {
+      "index": 519,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0519.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;A1: Circle;M: Point;A: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;Center(A1)=A;Length(Radius(A1))=b;Intersection(A1, OneOf(Asymptote(C))) = {M, N};AngleOf(M, A, N) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 520,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 5.656854249492381,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0520.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;A: Point;x0: Number;y0:Number;Expression(G) = (x^2/4 - y^2/32 = 1);Coordinate(A) = (x0, y0);PointOnCurve(A, RightPart(G));Distance(A,RightFocus(G)) = 2*x0",
+      "coords": {}
+    },
+    {
+      "index": 521,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0521.png",
+      "answer": "{0,1}",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 1);k: Number;G: Parabola;Expression(G) = (y^2 = 4*x);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 522,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0522.png",
+      "answer": "3*x-y-11=0",
+      "fact_expr": "G: Parabola;H: LineSegment;P: Point;Expression(G) = (y^2 = 6*x);Coordinate(P) = (4, 1);PointOnCurve(P,H);MidPoint(H)=P;IsChordOf(H,G)",
+      "coords": {
+        "P": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 523,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0523.png",
+      "answer": "2/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;PointOnCurve(F, G);Slope(G) = sqrt(3);Intersection(G, C) = {A, B};VectorOf(A, F) = VectorOf(F, B)/2",
+      "coords": {}
+    },
+    {
+      "index": 524,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0524.png",
+      "answer": "9/8",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 8*x);Length(LineSegmentOf(A, B)) = 6;MidPoint(LineSegmentOf(A, B)) = M;IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 525,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0525.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;F2: Point;P: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(O,F2),G);Intersection(G, OneOf(Asymptote(C))) = {O, P};AngleOf(O, P, F1) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0526.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;O: Origin;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(Focus(C), G);Slope(G) = 1;Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 527,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0527.png",
+      "answer": "sqrt(14)/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;I: Line;B: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(I) = (y = b/3);Intersection(I, G) = {B, C};IsDiameter(LineSegmentOf(B,C),H);RightFocus(G)=F;PointOnCurve(F,H);F:Point",
+      "coords": {}
+    },
+    {
+      "index": 528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0528.png",
+      "answer": "1/3",
+      "fact_expr": "l: Line;Gamma: Parabola;O: Origin;F: Point;A: Point;B: Point;Expression(Gamma) = (y^2 = 4*x);Expression(l)=(sqrt(3)*x - y - sqrt(3) = 0);Intersection(l,Gamma) = {A, B};Intersection(l,xAxis)=F;LineSegmentOf(O,F)=lambda*LineSegmentOf(O,A)+mu*LineSegmentOf(O,B);lambda<=mu;lambda:Number;mu:Number",
+      "coords": {}
+    },
+    {
+      "index": 529,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0529.png",
+      "answer": "9/10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Expression(Asymptote(G)) = (3*x + pm*(4*y) = 0)",
+      "coords": {}
+    },
+    {
+      "index": 530,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0530.png",
+      "answer": "4",
+      "fact_expr": "l1: Line;Expression(l1) = (4*x - 3*y + 16 = 0);l2: Line;Expression(l2) = (x = -1);G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);d1: Number;Distance(P, l1) = d1;d2: Number;Distance(P, l2) = d2",
+      "coords": {}
+    },
+    {
+      "index": 531,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0531.png",
+      "answer": "3",
+      "fact_expr": "G: Curve;H: Curve;Expression(G) = (y^2 = 2*x);Expression(H) = (y^2 + (x - 2)^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 532,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0532.png",
+      "answer": "(3, 0)\ny^2 = 12*x",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);C: Parabola;F: Point;RightFocus(G) = F;O: Origin;Vertex(C) = O;Focus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 533,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 534,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 535,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 536,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_0536.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 537,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0537.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;Gamma: Circle;P: Point;F1: Point;Q: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C)=F1;PointOnCurve(P, C);IsDiameter(LineSegmentOf(P,F1),Gamma);PointOnCurve(Q, Gamma);O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 538,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 539,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0539.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;E: Circle;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(E) = (y^2 + (x - 2)^2 = 1);Center(E)=RightFocus(C);IsTangent(E, Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 540,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 541,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0541.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(OneOf(Asymptote(G))) = (y = x*(sqrt(2)/2))",
+      "coords": {}
+    },
+    {
+      "index": 542,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0542.png",
+      "answer": "[sqrt(5),sqrt(6)]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;O: Origin;M: Point;N: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 1 - x);Eccentricity(G)=e;Intersection(H,G)={M,N};Range(e)=[1/sqrt(3),1/sqrt(2)];IsPerpendicular(LineSegmentOf(O,M),LineSegmentOf(O,N));e:Number",
+      "coords": {}
+    },
+    {
+      "index": 543,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 544,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 545,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0545.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;b: Number;P: Point;F1: Point;F2: Point;b>0;Expression(G) = (x^2/9 - y^2/b^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 546,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0546.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;p: Number;H: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (2, 3);Distance(H, Focus(G)) = 5",
+      "coords": {
+        "H": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 547,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0547.png",
+      "answer": "5",
+      "fact_expr": "G:Hyperbola;a: Number;P: Point;F2: Point;F1: Point;Expression(G) = (-y^2/9 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));Expression(OneOf(Asymptote(G))) = (3*x - y = 0);LeftFocus(G) =F1;RightFocus(G)=F2;Abs(LineSegmentOf(P, F2)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 548,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0548.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) = True;PointOnCurve(F1, LineSegmentOf(A, B)) = True;Perimeter(InscribedCircle(TriangleOf(A, B, F2))) = pi;Coordinate(A) = (x1, y1);x1: Number;y1: Number;Coordinate(B) = (x2, y2);x2: Number;y2: Number",
+      "coords": {}
+    },
+    {
+      "index": 549,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 550,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0550.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Circle;Expression(H) = (x^2 + y^2 = a^2);L: Line;TangentOfPoint(F2,H) = L;Intersection(L,LeftPart(G)) = M;M: Point;AngleOf(F1, M, F2) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 551,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0551.png",
+      "answer": "[3, 27/8]",
+      "fact_expr": "G: Ellipse;b: Number;H: Line;M: Point;N: Point;F2: Point;F1: Point;lambda: Number;Expression(G) = (x^2/4 + y^2/b^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, G) = {M, N};Min(Length(LineSegmentOf(M, N))) = 3;Abs(VectorOf(N, F2)) = lambda*Abs(VectorOf(F2, M));In(lambda, [1, 2]);IsChordOf(LineSegmentOf(M, N), G)",
+      "coords": {}
+    },
+    {
+      "index": 552,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0552.png",
+      "answer": "3*sqrt(2)/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;O: Origin;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 553,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0553.png",
+      "answer": "1/9",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*p*x);M: Point;a: Real;m:Number;m>0;p: Number;p>0;Distance(M,Focus(H))=5;G: Hyperbola;Expression(G) = (-y^2 + x^2/a=1);A:Point;LeftVertex(G)=A;Coordinate(M) = (1, m);PointOnCurve(M, H);IsParallel(OneOf(Asymptote(G)),LineOf(A,M))",
+      "coords": {}
+    },
+    {
+      "index": 554,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0554.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/3 + y^2/2 = 1);PointOnCurve(P, G);Distance(P, LeftFocus(G)) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 555,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 556,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          4.0,
+          1.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0556.png",
+      "answer": "x^2/12-y^2/4=1",
+      "fact_expr": "c: Hyperbola;Expression(Asymptote(c)) = (x + pm*sqrt(3)*y = 0);G: Circle;Expression(G) = (-2*y - 8*x + x^2 + y^2 + 16 = 0);PointOnCurve(RightFocus(c), G)",
+      "coords": {}
+    },
+    {
+      "index": 557,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0557.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "G: Ellipse;O: Origin;Center(G) = O;Eccentricity(G) = 1/2;H: Parabola;Expression(H) = (y^2 = -4*x);l: Line;Directrix(H) = l;PointOnCurve(OneOf(Focus(G)), l)",
+      "coords": {}
+    },
+    {
+      "index": 558,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0558.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);F: Point;RightFocus(G) = F;l: Line;PointOnCurve(F, l);Q: Point;Intersection(l, MinorAxis(G)) = Q;M: Point;N: Point;Intersection(l, G) = {M, N};lambda: Number;mu: Number;VectorOf(F, M) = lambda*VectorOf(M, Q);VectorOf(F, N) = mu*VectorOf(N, Q)",
+      "coords": {}
+    },
+    {
+      "index": 559,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/test/hyperbola/problem_0559.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*(sqrt(2)*x))",
+      "coords": {}
+    },
+    {
+      "index": 560,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0560.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;P: Point;PointOnCurve(P, RightPart(C));O: Origin;Abs(LineSegmentOf(P, F)) = Abs(LineSegmentOf(O, F));Cos(AngleOf(O, F, P)) = 1/4",
+      "coords": {}
+    },
+    {
+      "index": 561,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0561.png",
+      "answer": "6",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G) = True;H1: Circle;Expression(H1) = (y^2 + (x + 1)^2 = 1);H2: Circle;Expression(H2) = (y^2 + (x - 1)^2 = 1);Q: Point;R: Point;PointOnCurve(Q, H1) = True;PointOnCurve(R, H2) = True",
+      "coords": {}
+    },
+    {
+      "index": 562,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 563,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0563.png",
+      "answer": "(pm*2*sqrt(2), 0)\ny = pm*(sqrt(15)/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/8 + y^2/5 = 1);Eccentricity(G) = 2*sqrt(6)/3;Vertex(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 564,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0564.png",
+      "answer": "[sqrt(6/3),1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftVertex(C) = A1;RightVertex(C) = A2;A1: Point;A2: Point;PointOnCurve(P, C) = True;P: Point;AngleOf(A1, P, A2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 565,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142164151010692,
+        "b": 1.4142164151010692,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.2160979279094996e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_0565.png",
+      "answer": "(-4,0)+(0,4)",
+      "fact_expr": "G:Hyperbola;F1: Point;F2: Point;m:Number;P:Point;Coordinate(F1)=(-2,0);Coordinate(F2)=(2, 0);Distance(P,F1)-Distance(P,F2)=m;Locus(P)=G",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 566,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0566.png",
+      "answer": "(0, 1)",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);e1: Number;e2: Number;Eccentricity(H) = e1;Eccentricity(G) = e2",
+      "coords": {}
+    },
+    {
+      "index": 567,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 568,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0568.png",
+      "answer": "(16/5,-9/5)",
+      "fact_expr": "l: Line;G: Ellipse;P: Point;A: Point;B: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Expression(l)=(x-y+1=0);Intersection(l,G)={A,B};PointOnCurve(P,G);WhenMax(Area(TriangleOf(P,A,B)))",
+      "coords": {}
+    },
+    {
+      "index": 569,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.660254037844387,
+        "b": 5.0,
+        "major_axis": "y",
+        "x_coef": 25.0,
+        "y_coef": 75.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0569.png",
+      "answer": "25*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/75 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 570,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0570.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);H: Line;PointOnCurve(RightFocus(G), H);IsPerpendicular(H, xAxis);A: Point;B: Point;l1: Line;l2: Line;Asymptote(G) = {l1, l2};Intersection(H, l1) = A;Intersection(H, l2) = B",
+      "coords": {}
+    },
+    {
+      "index": 571,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0571.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y = x^2/4);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);y1 + y2 = 5",
+      "coords": {}
+    },
+    {
+      "index": 572,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 573,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0573.png",
+      "answer": "5",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;PointOnCurve(A, C) = True;P: Point;PointOnCurve(P, OverlappingLine(LineSegmentOf(F1, A))) = True;DotProduct(VectorOf(A, F2) + VectorOf(A, P), VectorOf(F2, P)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 574,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0574.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;A: Point;B:Point;P: Point;F:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);l:Line;l1:Line;l2:Line;RightFocus(C)=F;PointOnCurve(F, l);IsPerpendicular(l,l1);FootPoint(l,l1)=B;Intersection(l,yAxis)=P;Intersection(l,l2)=A;Between(P,A,B)=True;Abs(LineSegmentOf(O, A)) = (5/3)*a;OneOf(Asymptote(C)) = l1;OneOf(Asymptote(C)) = l2;Negation(l1=l2)",
+      "coords": {}
+    },
+    {
+      "index": 575,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0575.png",
+      "answer": "2/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A:Point;B: Point;F: Point;e:Number;k:Number;a > b;b > 0;k>0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;Slope(G)=k;LeftVertex(C)=A;Intersection(G,C)={A,B};Projection(B, xAxis) = F;Eccentricity(C) = e ;e= 1/3",
+      "coords": {}
+    },
+    {
+      "index": 576,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0576.png",
+      "answer": "(sqrt(2)-1)/4",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;a: Number;A: Point;P: Point;O: Origin;c:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G)=A;Expression(l)=(x=2*c);PointOnCurve(P,l);AngleOf(A,P,O)=ApplyUnit(45,degree)",
+      "coords": {}
+    },
+    {
+      "index": 577,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0577.png",
+      "answer": "sqrt(30)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;RightVertex(C) = A;A1: Circle;Center(A1) = A;Radius(A1) = b;M: Point;N: Point;Intersection(A1, OneOf(Asymptote(C))) = {M, N};O: Origin;VectorOf(O, M) = (3/2)*VectorOf(O, N)",
+      "coords": {}
+    },
+    {
+      "index": 578,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0578.png",
+      "answer": "sqrt(21)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;L: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, L);IsPerpendicular(L, OneOf(Asymptote(G)));FootPoint(L, OneOf(Asymptote(G))) = P;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 579,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 580,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0580.png",
+      "answer": "ApplyUnit(60,degree)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;F: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Quadrant(A)=1;Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 581,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0581.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);F: Point;Focus(C) = F;P1: Point;P2: Point;PointOnCurve(P1, C) ;PointOnCurve(P2, C) ;YCoordinate(P1) = y1;YCoordinate(P2) = y2;y1^2 + y2^2 = 8;y1:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 582,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0582.png",
+      "answer": "10*sqrt(5)",
+      "fact_expr": "G: Parabola;A: Point;O: Origin;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(A,G);PointOnCurve(B,G);Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, B));Orthocenter(TriangleOf(A,O,B))=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 583,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0833333358168602,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0583.png",
+      "answer": "y=-1/12",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/3)",
+      "coords": {}
+    },
+    {
+      "index": 584,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0584.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C1: Parabola;Expression(C1) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C1) = F;C2: Hyperbola;Expression(C2) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;OneOf(Intersection(C1, OneOf(Asymptote(C2)))) = A;A: Point;IsPerpendicular(LineSegmentOf(A, F), xAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 585,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0585.png",
+      "answer": "9*sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 586,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0586.png",
+      "answer": "y=-1/16",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 587,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0587.png",
+      "answer": "(x+1)^2+y^2=7",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x);H: Circle;Focus(G) = Center(H);Radius(H) = sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 588,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0588.png",
+      "answer": "(2 - sqrt(2))/2",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);Expression(l) = (x + y + sqrt(2) = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 589,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0589.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 590,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0590.png",
+      "answer": "3*x+4*y-7=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P:Point;Expression(G) = (x^2/4 + y^2/3=1);MidPoint(H)=P;Coordinate(P) = (1,1);IsChordOf(H,G)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 591,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0591.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;P: Point;H: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;l:Line;PointOnCurve(F, l);IsPerpendicular(l, OneOf(Asymptote(C)));FootPoint(l, OneOf(Asymptote(C)))=H;PointOnCurve(P, C);VectorOf(F, P) = 3*VectorOf(F, H)",
+      "coords": {}
+    },
+    {
+      "index": 592,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0592.png",
+      "answer": "y=pm*(sqrt(3)*x)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/3 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 593,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0593.png",
+      "answer": "5*x^2/4-5*y^2/16=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 2*x - 4);RightFocus(G)=F;PointOnCurve(F, H);NumIntersection(H,G)=1",
+      "coords": {}
+    },
+    {
+      "index": 594,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 595,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0595.png",
+      "answer": "(4,pm*4)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);D: Point;PointOnCurve(D, G) = True;Distance(D, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 596,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0596.png",
+      "answer": "8",
+      "fact_expr": "l: Line;E: Parabola;C: Point;D: Point;A: Point;B: Point;Expression(E) = (y^2 = 4*x);PointOnCurve(Focus(E), l);Intersection(l, E) = {A, B};Intersection(TangentOnPoint(A,E), yAxis) = C;Intersection(TangentOnPoint(B,E),yAxis)=D",
+      "coords": {}
+    },
+    {
+      "index": 597,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0597.png",
+      "answer": "3*sqrt(2)-5",
+      "fact_expr": "C: Ellipse;E: Circle;M: Point;N: Point;F1:Point;F2:Point;LeftFocus(C)=F1;RightFocus(C)=F2;Expression(C) = (x^2/4+y^2/3=1);Expression(E)=((x-4)^2+(y-3)^2=1);PointOnCurve(M,C);PointOnCurve(N,E)",
+      "coords": {}
+    },
+    {
+      "index": 598,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0598.png",
+      "answer": "3*sqrt(2)/2",
+      "fact_expr": "G: Parabola;H: Line;P0: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x - y + 4 = 0);PointOnCurve(P0, G)",
+      "coords": {}
+    },
+    {
+      "index": 599,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0599.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;O: Origin;l: Line;PointOnCurve(O, l);Intersection(l, C) = {A, B};A: Point;B: Point;2*Abs(LineSegmentOf(F, O)) = Abs(LineSegmentOf(A, B));AngleOf(B, A, F) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0600.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(Focus(C), l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 4;Distance(MidPoint(LineSegmentOf(A, B)), yAxis) = 1",
+      "coords": {}
+    },
+    {
+      "index": 601,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 602,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0602.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 603,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 604,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 605,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0605.png",
+      "answer": "y^2=20*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*m*x);m: Number;m>0;G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);Distance(Focus(H),OneOf(Asymptote(G))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 606,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0606.png",
+      "answer": "y=-4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 16*y)",
+      "coords": {}
+    },
+    {
+      "index": 607,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0607.png",
+      "answer": "5/4",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;M: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Length(RealAxis(C)) = 8;RightFocus(C)=F;PointOnCurve(M,OneOf(Asymptote(C)));IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(M, F));Area(TriangleOf(O,M,F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 608,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 609,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0609.png",
+      "answer": "28/3",
+      "fact_expr": "l: Line;G: Ellipse;B: Point;F2: Point;A: Point;F1: Point;Expression(G) = (x^2/9 + y^2/4 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 610,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0610.png",
+      "answer": "5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;B: Point;F: Point;O: Origin;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, F));Abs(LineSegmentOf(O, F)) = 5;Abs(LineSegmentOf(B, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 611,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0611.png",
+      "answer": "{sqrt(2),1}",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = k*x + 1);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 612,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0612.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;A: Point;F: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0,-2);Eccentricity(E) = sqrt(3)/2;Focus(E) = F;Slope(LineOf(A,F))=2*sqrt(3)/3",
+      "coords": {
+        "A": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 613,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 614,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0614.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F: Point;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;RightVertex(C) = A;PointOnCurve(P, C);Max(Abs(LineSegmentOf(P, F))) = 3;Min(Abs(LineSegmentOf(P, F))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 615,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0615.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (-2, 3);Distance(H, Focus(G)) = 5",
+      "coords": {
+        "H": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 616,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0616.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);F1: Point;F2: Point;LeftFocus(G)=F1;RightFocus(G)=F2;P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 617,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 618,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0618.png",
+      "answer": "x^2/4 - y^2/12=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = 2;Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 619,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0619.png",
+      "answer": "",
+      "fact_expr": "C: Parabola;p: Number;M: Point;N: Point;A: Point;F: Point;l: Line;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(A) = (0, 3);Focus(C) = F;Directrix(C) = l;PointOnCurve(M, C);PointOnCurve(M,l);IsPerpendicular(LineSegmentOf(M,N),l);Min(Abs(LineSegmentOf(M, A)) + Abs(LineSegmentOf(M, N))) = 2;FootPoint(LineSegmentOf(M,N),l)=N",
+      "coords": {
+        "A": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 620,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 621,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0621.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);Slope(l) = 1;Intersection(l, G) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 622,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 623,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0623.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;F: Point;B: Point;A: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = pi/4;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 624,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0624.png",
+      "answer": "[2, +oo)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;H: Line;PointOnCurve(F, H);Inclination(H) = ApplyUnit(60, degree);NumIntersection(H, RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 625,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0625.png",
+      "answer": "{y^2 = 8*x,y^2 = -16*x}",
+      "fact_expr": "G: Parabola;m: Number;H: Line;Expression(G) = (y^2 = m*x);Expression(H) = (x = 1);Distance(Directrix(G), H) = 3",
+      "coords": {}
+    },
+    {
+      "index": 626,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 627,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0627.png",
+      "answer": "x=2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = m*x);m: Number;E: Ellipse;Expression(E) = (x^2/9 + y^2/5 = 1);Focus(C) = LeftFocus(E)",
+      "coords": {}
+    },
+    {
+      "index": 628,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 629,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 630,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0630.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (x^2/4 - y^2/m = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 631,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0631.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;K: Point;Intersection(Directrix(C), xAxis) = K;A: Point;PointOnCurve(A, C);Abs(LineSegmentOf(A, K)) = sqrt(2)*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 632,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0632.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Line;PointOnCurve(Focus(G), H);Slope(H) = 1;A: Point;B: Point;Intersection(H, G) = {A, B};YCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 633,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0633.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;l: Line;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C)=F;PointOnCurve(F, l);Inclination(l)=ApplyUnit(60,degree);Intersection(l,C) = {A, B};Abs(LineSegmentOf(A, F)) > Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 634,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0634.png",
+      "answer": "4/3",
+      "fact_expr": "G: Hyperbola;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/5 - y^2/4 = 1);Focus(G) = {F1,F2};PointOnCurve(M, G);IsPerpendicular(LineSegmentOf(M, F1), LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 635,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 636,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 637,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0637.png",
+      "answer": "8 - 4*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 16;Abs(LineSegmentOf(A, F)) < Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 638,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0638.png",
+      "answer": "y=pm*(3/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 639,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0639.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Center(G), LineSegmentOf(A, B));F1: Point;OneOf(Focus(G) )= F1",
+      "coords": {}
+    },
+    {
+      "index": 640,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0640.png",
+      "answer": "y=(15/8)*x+1",
+      "fact_expr": "C: Parabola;a: Number;P: Point;F: Point;a>0;Expression(C) = (x^2 = a*y);Coordinate(P) = (2*a, 4*a);PointOnCurve(P, C);Focus(C) = F;Distance(P, F) = 17",
+      "coords": {}
+    },
+    {
+      "index": 641,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 642,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7071067811865476,
+        "b": 0.5773502691896257,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0642.png",
+      "answer": "y=pm*(sqrt(6)/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (2*x^2 - 3*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 643,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0643.png",
+      "answer": "3*sqrt(5)",
+      "fact_expr": "C: Parabola;A: Point;P: Point;F: Point;l: Line;d: Number;Expression(C) = (y^2 = 16*x);Coordinate(A) = (1, 6);Focus(C) = F;PointOnCurve(P, C);Directrix(C) = l;Distance(P, l) = d",
+      "coords": {
+        "A": [
+          1.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 644,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 645,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0645.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Tan(AngleOf(P, F1, F2)) = sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 646,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0646.png",
+      "answer": "2*sqrt(7)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;A: Point;LeftVertex(C) = A;F: Point;RightFocus(C) = F;G: Circle;Diameter(G) = Length(RealAxis(C));l1: Line;l2: Line;Intersection(G,l1) = P;P: Point;Quadrant(P) = 2;IsParallel(LineSegmentOf(P,A) , l2) = True;O: Origin;Area(TriangleOf(O,P,A)) = sqrt(3);OneOf(Asymptote(C)) = l1;OneOf(Asymptote(C)) = l2;Negation(l1=l2)",
+      "coords": {}
+    },
+    {
+      "index": 647,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 648,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0648.png",
+      "answer": "3",
+      "fact_expr": "F: Point;G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;Focus(G) = F;PointOnCurve(F, H) = True;H: Line;OneOf(Intersection(H, G)) = A;A: Point;Intersection(H, Directrix(G)) = B;B: Point;VectorOf(B, A) = 2*VectorOf(A, F);Abs(VectorOf(B, A)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_0649.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 650,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0650.png",
+      "answer": "-3/4",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;P: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Coordinate(P) = (1, 1);PointOnCurve(P, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B))=P;IsChordOf(LineSegmentOf(A,B),C)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 651,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0651.png",
+      "answer": "(0, 4)",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = 2*(p*y));p: Number;p>0;G: Hyperbola;Expression(G) = (-x^2/16 + y^2/9 = 1);PointOnCurve(OneOf(Vertex(G)), Directrix(H)) = True",
+      "coords": {}
+    },
+    {
+      "index": 652,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0652.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;p: Number;A: Point;N: Point;M: Point;F: Point;B: Point;l: Line;l1: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = ((7/2)*p, 0);Focus(G) = F;Directrix(G) = l;PointOnCurve(M, l1);IsPerpendicular(l, l1);FootPoint(l, l1) = N;Intersection(LineSegmentOf(A, N), LineSegmentOf(M, F)) = B;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(M, F));Area(TriangleOf(A, B, M)) = (9*sqrt(2))/2;PointOnCurve(M, G)",
+      "coords": {}
+    },
+    {
+      "index": 653,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0653.png",
+      "answer": "y = -1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2)",
+      "coords": {}
+    },
+    {
+      "index": 654,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 655,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 656,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0656.png",
+      "answer": "y^2=-16*x",
+      "fact_expr": "C: Hyperbola;G: Parabola;O: Origin;Expression(C) = (x^2/10 - y^2/6 = 1);Vertex(G) = O;SymmetryAxis(G)=xAxis;Focus(G)=LeftFocus(C)",
+      "coords": {}
+    },
+    {
+      "index": 657,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0657.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Line;M: Point;F2: Point;N: Point;F1: Point;Expression(G) = (x^2/4 - y^2/3 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1, H);Intersection(H, LeftPart(G)) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 658,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0658.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 659,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0659.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;P: Point;Q: Point;O:Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;PointOnCurve(O, l);Intersection(l, C) = {P, Q};Abs(LineSegmentOf(P, Q)) = a;IsPerpendicular(LineSegmentOf(A, P), LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 660,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0660.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;H: Circle;l: Line;m: Number;n: Number;J: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Expression(H) = (x^2 + y^2 = 4);Expression(l) = (m*x + n*y = 4);Coordinate(J) = (m, n);NumIntersection(l, H)=0;PointOnCurve(J, L);L:Line",
+      "coords": {}
+    },
+    {
+      "index": 661,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0661.png",
+      "answer": "11*sqrt(5)/5",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x + 2*y - 12 = 0);PointOnCurve(P, G);d1: Number;d2: Number;Distance(P, Directrix(G)) = d1;Distance(P, H) = d2",
+      "coords": {}
+    },
+    {
+      "index": 662,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0662.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (x^2 = 3*y);PointOnCurve(A,G);YCoordinate(A)=5/4",
+      "coords": {}
+    },
+    {
+      "index": 663,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 664,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 665,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 666,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0666.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;B: Point;D: Point;F: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Focus(C) = F;Intersection(Directrix(C), yAxis) = D;PointOnCurve(F, G);Intersection(G, C) = {A, B};IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(A, D));Abs(LineSegmentOf(B, F)) = Abs(LineSegmentOf(A, F)) + 4",
+      "coords": {}
+    },
+    {
+      "index": 667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0667.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F2: Point;A: Point;F1: Point;c:Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y =-(b/a)*x);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, RightPart(G));Abs(LineSegmentOf(A,F1))=(11/2)*a-c;HalfFocalLength(G)=c;IsParallel(LineOf(A,F2),H)",
+      "coords": {}
+    },
+    {
+      "index": 668,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0668.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;G: Line;A: Point;E: Point;B: Point;H: Point;F: Point;k: Number;Expression(C) = (y^2 = 8*x);Expression(G) = (x = -2);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};L1:Line;L2:Line;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(L1,G);IsPerpendicular(L2,G);FootPoint(L1,G)=E;FootPoint(L2,G)=H;Abs(LineSegmentOf(A, E)) = 2*Abs(LineSegmentOf(B, H));Slope(l) = k",
+      "coords": {}
+    },
+    {
+      "index": 669,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 670,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0670.png",
+      "answer": "(1,sqrt(2)]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(G) = c",
+      "coords": {}
+    },
+    {
+      "index": 671,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0671.png",
+      "answer": "32/3",
+      "fact_expr": "C: Hyperbola;G: Line;M: Point;F1: Point;F2: Point;Expression(C) = (x^2/9 - y^2/16 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(Focus(C),G);IsParallel(G,Asymptote(C));Intersection(G,C)=M",
+      "coords": {}
+    },
+    {
+      "index": 672,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0672.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;a: Number;G: Point;Expression(C) = (y^2/3 + x^2/a^2 = 1);Coordinate(G) = (1, 0);OneOf(Focus(C)) = G",
+      "coords": {
+        "G": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 673,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          -3.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0673.png",
+      "answer": "{y^2=9*x, x^2=(-1/3)*y}",
+      "fact_expr": "G: Parabola;SymmetryAxis(G) = axis;O: Origin;Vertex(G) = O;H: Circle;Expression(H) = (6*y - 2*x + x^2 + y^2 + 9 = 0);PointOnCurve(Center(H), G)",
+      "coords": {}
+    },
+    {
+      "index": 674,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0674.png",
+      "answer": "1+(3*sqrt(2))/4",
+      "fact_expr": "C: Ellipse;G: Line;A: Point;F: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};k: Number;Abs(LineSegmentOf(A,F))+2*Abs(LineSegmentOf(B,F)) >= k",
+      "coords": {}
+    },
+    {
+      "index": 675,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 676,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0676.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p > 0;PointOnCurve(Focus(G), l) = True;l: Line;Intersection(l, G) = {A, B};A: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;B: Point;Coordinate(B) = (x2, y2);x2: Number;y2: Number",
+      "coords": {}
+    },
+    {
+      "index": 677,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 678,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0678.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;Focus(G) = {F1,F2};c: Number;FocalLength(G) = 2*c;P: Point;PointOnCurve(P, G) = True;M: Point;H: Circle;Expression(H) = (x^2 + y^2 = a^2);TangentPoint(LineOf(P,F1),H) = M;MidPoint(LineSegmentOf(P,F1)) = M",
+      "coords": {}
+    },
+    {
+      "index": 679,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 680,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_0680.png",
+      "answer": "{9/4,4}",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (y^2/3 + x^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 681,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 682,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 683,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0683.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Ellipse;E: Circle;N: Point;M: Point;Expression(C) = (x^2/9 + y^2/8 = 1);Expression(E) = (y^2 + (x - 1)^2 = 1);PointOnCurve(M, C);PointOnCurve(N, E);IsTangent(LineOf(M,N),E)",
+      "coords": {}
+    },
+    {
+      "index": 684,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0684.png",
+      "answer": "[1, +oo)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;Coordinate(Focus(G)) = (1, 0);H: Point;PointOnCurve(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 685,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0685.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;I: Line;k: Number;A: Point;B: Point;F:Point;a>0;b>0;Negation(k=0);Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(I) = (y = k*x);Intersection(I, G) = {A, B};IsDiameter(LineSegmentOf(A,B),H);PointOnCurve(F,H);RightFocus(G)=F;Area(TriangleOf(A,B,F))=4*a^2",
+      "coords": {}
+    },
+    {
+      "index": 686,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0686.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/3 + y^2 = 1);F1: Point;Focus(E) = {F1, F2};l: Line;PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, E) = {A, B};F2: Point",
+      "coords": {}
+    },
+    {
+      "index": 687,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0687.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;k: Number;O: Origin;M: Point;F1:Point;F2: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);k>0;Expression(H) = (y = k*x);LeftFocus(G) =F1;RightFocus(G)=F2;Intersection(H, G) = {M, N};Abs(LineSegmentOf(O, M)) = Abs(LineSegmentOf(O, F2));Area(TriangleOf(M,F2,N))=(Abs(LineSegmentOf(M,F2))+Abs(LineSegmentOf(N,F2)))^2/16",
+      "coords": {}
+    },
+    {
+      "index": 688,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0688.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);Q: Point;Coordinate(Q) = (9*p/2, 0);Abs(LineSegmentOf(Q, F)) = 2*Abs(LineSegmentOf(P, F));Area(TriangleOf(P, Q, F)) = 8*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 689,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0689.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 16*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, l);Q: Point;OneOf(Intersection(LineOf(P, F), C)) = Q;VectorOf(F, P) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 690,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 691,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0691.png",
+      "answer": "(-2, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x)",
+      "coords": {}
+    },
+    {
+      "index": 692,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0692.png",
+      "answer": "(3/5,-2/5)",
+      "fact_expr": "H: Line;Expression(H) = (x - y = 1);G: Ellipse;Expression(G) = (x^2/3 + y^2/2 = 1);Intersection(H,G) = {A,B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 693,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 694,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0694.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (3, y1);y1:Number;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 695,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0695.png",
+      "answer": "25",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G) = True;Focus(G) = {F1,F2};F1: Point;F2: Point;Distance(P,F1) * Distance(P,F2) = m;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0696.png",
+      "answer": "sqrt(5)+4",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;P: Point;F: Point;M:Number;N:Number;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -1);Coordinate(A) = (-1, 1);Coordinate(B) = (3, 2);PointOnCurve(P, G);Focus(G) = F;Min(Distance(P,A)+Distance(P,H))=M;Min(Abs(LineSegmentOf(P, B)) + Abs(LineSegmentOf(P, F))) = N",
+      "coords": {
+        "A": [
+          -1.0,
+          1.0
+        ],
+        "B": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 697,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0697.png",
+      "answer": "12+6*sqrt(3)",
+      "fact_expr": "C: Ellipse;A: Point;F1: Point;F2: Point;Expression(C) = (x^2/36 + y^2/9 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(A, C)",
+      "coords": {}
+    },
+    {
+      "index": 698,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0698.png",
+      "answer": "{(y^2=3*x), (y^2=-3*x)}",
+      "fact_expr": "G: Parabola;O: Origin;H: Circle;Vertex(G) = O;SymmetryAxis(G) = xAxis;Expression(H) = (x^2 + y^2 = 4);Length(InterceptChord(G, H)) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 699,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0699.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;H: Circle;a: Number;a>0;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (-4*x + x^2 + y^2 = 0);RightFocus(G) = Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 700,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0700.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;A: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (-a, 0);Coordinate(B) = (0, b);LeftFocus(G) = F;In(A, Vertex(G));In(B, Vertex(G));Distance(F, LineOf(A, B)) = b/sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 701,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 702,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 703,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 704,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0704.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = 2*p*y);p: Number;p>0;G: Hyperbola;Expression(G) = (-x^2 + y^2 = 1);PointOnCurve(OneOf(Focus(G)), Directrix(H)) = True",
+      "coords": {}
+    },
+    {
+      "index": 705,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0705.png",
+      "answer": "64*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/100 + y^2/64 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 706,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0706.png",
+      "answer": "sqrt(3)/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;P: Point;Coordinate(P) = (3/2, y0);y0: Number;Focus(G) = F;F: Point;Distance(P, F) = 2;O: Origin;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 707,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0707.png",
+      "answer": "(3,2*sqrt(3))",
+      "fact_expr": "m: Line;G: Parabola;n: Line;P: Point;M: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Quadrant(P) = 1;TangentOnPoint(P, G) = m;PointOnCurve(P,n);IsParallel(xAxis, n);C:Line;PointOnCurve(F,C);IsParallel(C,m);Intersection(C,n)=M;Abs(LineSegmentOf(P,M))=4",
+      "coords": {}
+    },
+    {
+      "index": 708,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 709,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0709.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "C: Ellipse;F1: Point;P: Point;F2: Point;Expression(C) = (x^2/16+y^2/8=1);Focus(C)={F1,F2};PointOnCurve(P, C);AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 710,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0710.png",
+      "answer": "-1/3",
+      "fact_expr": "G: Hyperbola;H: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2 - y^2/2 = 1);Expression(H) = (x^2/4 + y^2 = 1);LeftFocus(H) = F1;RightFocus(H) = F2;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 711,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0711.png",
+      "answer": "(0,2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y)",
+      "coords": {}
+    },
+    {
+      "index": 712,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0712.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;c:Number;G: Circle;H: Line;F1: Point;O: Origin;N: Point;M: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(C)=F1;RightFocus(C) = F2;PointOnCurve(F1, H);TangentPoint(H, G) = M;Intersection(H,RightPart(C))=N;Abs(LineSegmentOf(O, N)) = c;F2:Point;c>0",
+      "coords": {}
+    },
+    {
+      "index": 713,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0713.png",
+      "answer": "18",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F,H);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 714,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0714.png",
+      "answer": "4/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);Cos(AngleOf(F1, P, F2)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 715,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0715.png",
+      "answer": "[sqrt(3)/3,1)",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;I: Point;O: Origin;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Incenter(TriangleOf(P, F1, F2)) = I",
+      "coords": {}
+    },
+    {
+      "index": 716,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0716.png",
+      "answer": "{x^2/10-y^2/6=1, x^2/10-y^2/6=-1}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/3 = 1);Z: Hyperbola;Asymptote(G) = Asymptote(Z);FocalLength(Z) = 8",
+      "coords": {}
+    },
+    {
+      "index": 717,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0717.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l1: Line;l2: Line;Asymptote(G) = {l1, l2};P: Point;Quadrant(P) = 1;PointOnCurve(P, l1);IsPerpendicular(l2, LineSegmentOf(P, F1));IsParallel(l2, LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 718,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0718.png",
+      "answer": "[sqrt(5),oo)",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;F: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;Slope(l)=2;PointOnCurve(F,l);NumIntersection(l, RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 719,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0719.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y = x^2);Expression(H) = (x + y + 2 = 0);PointOnCurve(P, G);WhenMin(Distance(P, H))",
+      "coords": {}
+    },
+    {
+      "index": 720,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 721,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0721.png",
+      "answer": "[sqrt(2),sqrt(21)/3)",
+      "fact_expr": "G: Hyperbola;H: Ellipse;D:Ellipse;a: Number;a<=1;Expression(H) = (x^2/4 + y^2/16 = 1);Expression(D) = (y^2/4 + (a*x^2)/16 = 1);PointOnCurve(Focus(G),xAxis);PointOnCurve(Intersection(D,H),Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 722,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0722.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2 + y^2/5 = 1);Vertex(G) = Center(H);Focus(G) = RightVertex(H)",
+      "coords": {}
+    },
+    {
+      "index": 723,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0723.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>b;b>0;F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;L: Line;x1: Number;x2: Number;y1: Number;y2: Number;PointOnCurve(F1,L) = True;Intersection(L,G) = {A,B};Coordinate(A) = (x1,y1);Coordinate(B) = (x2,y2);Radius(InscribedCircle(TriangleOf(A,B,F2))) = 1;Abs(LineSegmentOf(F1,F2)) = 2;Abs(y1-y2) = 3;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 724,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0724.png",
+      "answer": "x+4*y-5=0",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/16 + y^2/4 = 1);Coordinate(M) = (1, 1);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 725,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0725.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Negation(A=B);M: Point;Intersection(Directrix(C), xAxis) = M;Tan(AngleOf(A, M, B)) = 2*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 726,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0726.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 727,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0727.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Distance(P, yAxis) = 4",
+      "coords": {}
+    },
+    {
+      "index": 728,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0728.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/5 + x^2/a^2 = 1);a: Number;H: Point;Coordinate(H) = (3, 0);RightFocus(G) = H",
+      "coords": {
+        "H": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 729,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0729.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Curve;k: Number;M: Point;F: Point;Expression(G) = (y^2 = 8*x);k>0;Expression(H) = (x*y = k);Intersection(G, H) = M;Focus(G) = F;Distance(M, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 730,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0730.png",
+      "answer": "y=pm*3*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/36 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 731,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 732,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 733,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 734,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0734.png",
+      "answer": "[sqrt(3)/3,sqrt(2)/2]",
+      "fact_expr": "M: Ellipse;b: Number;a: Number;c:Number;P: Point;F1: Point;F2: Point;e: Number;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(M)=F1;RightFocus(M)=F2;PointOnCurve(P,M);Range(Abs(LineSegmentOf(P,F1))*Abs(LineSegmentOf(P,F2)))=[2*c^2,3*c^2];c=sqrt(a^2-b^2);Eccentricity(M)=e",
+      "coords": {}
+    },
+    {
+      "index": 735,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 736,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/hyperbola/problem_0736.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Eccentricity(G) = sqrt(3);OneOf(Directrix(G))=Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 737,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0737.png",
+      "answer": "(1,sqrt(2))",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P,Asymptote(E));Abs(Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2))) = 2*b",
+      "coords": {}
+    },
+    {
+      "index": 738,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0738.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);H: Circle;Expression(H) = (m + 6*x + x^2 + y^2 = 0);m: Real;IsTangent(Directrix(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 739,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0739.png",
+      "answer": "8",
+      "fact_expr": "M: Point;Coordinate(M) = (sqrt(3), 0);G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);H: Line;Expression(H) = (y = k*(x + sqrt(3)));A: Point;B: Point;Intersection(G,H) = {A,B};k:Number",
+      "coords": {
+        "M": [
+          1.7320508075688772,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 740,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0740.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1 = F2);Distance(P, F1) = 3",
+      "coords": {}
+    },
+    {
+      "index": 741,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 0.9927864074707031,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00015326803259085864,
+        "converged": true,
+        "iterations": 44
+      },
+      "output_path": "results/test/parabola/problem_0741.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;p: Number;P: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(P) = (4, 4);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "P": [
+          4.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 742,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 743,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0743.png",
+      "answer": "9/4",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 2*(VectorOf(F, B));IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 744,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0744.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/16 + y^2/7 = 1);Focus(G) = Endpoint(MajorAxis(H));PointOnCurve(Focus(H),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 745,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0746.png",
+      "answer": "y = pm*(2/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 747,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0747.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "r1: Hyperbola;r2:Hyperbola;O: Origin;A: Point;B: Point;x1:Number;x2:Number;y1:Number;y2:Number;a:Number;b:Number;a>0 ;b>0;Expression(r1) = (x^2/a^2-y^2/b^2=1);Expression(r2) = (y^2/b^2-x^2/a^2=1);PointOnCurve(A,r1);PointOnCurve(B,r2);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1^2 - x2^2 = a^2;Slope(LineOf(O, A))*Slope(LineOf(O,B)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 748,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_0748.png",
+      "answer": "2*x+pm*y=0",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 749,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0749.png",
+      "answer": "(x^2+(y-1)^2=3/4)&(x>0,y>0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1);A: Point;UpperVertex(G) = A;F: Point;LeftFocus(G) = F;C: Point;MidPoint(LineSegmentOf(O, A)) = C;O: Origin;P: Point;Quadrant(P) = 1;Abs(LineSegmentOf(C, P)) = (sqrt(3)/2)*Abs(LineSegmentOf(O, C))",
+      "coords": {}
+    },
+    {
+      "index": 750,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0750.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A1: Point;A2: Point;LeftVertex(G) = A1;RightVertex(G) = A2;P: Point;PointOnCurve(P, LeftPart(G));Slope(LineOf(P, A1)) = -1;Slope(LineOf(P, A2)) = -1/3",
+      "coords": {}
+    },
+    {
+      "index": 751,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0751.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Length(RealAxis(G))=2;Length(ImageinaryAxis(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 752,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0752.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;P: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;OneOf(Endpoint(ImageinaryAxis(C))) = B;PointOnCurve(P, LeftPart(C));Min(Perimeter(TriangleOf(B, P, F))) = 4*Length(RealAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 753,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0753.png",
+      "answer": "20",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (x^2 = 4*y);Slope(H)=2;PointOnCurve(Focus(G),H);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 754,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0754.png",
+      "answer": "2",
+      "fact_expr": "M: Point;PointOnCurve(M, G) = True;G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;MidPoint(LineSegmentOf(M,F)) = P;Distance(P, yAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 755,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0755.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (x1, y1);Coordinate(A) = (2, 2);Focus(G) = F;x1:Number;y1:Number;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 756,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -4.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0756.png",
+      "answer": "x=13/8",
+      "fact_expr": "O1: Circle;Expression(O1) = (x^2 + y^2 = 1);O2: Circle;Expression(O2) = (y^2 + (x - 4)^2 = 4);P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;TangentOfPoint(P, O1) = LineOf(P, A);TangentOfPoint(P, O2) = LineOf(P, B);TangentPoint(LineOf(P, A), O1) = A;TangentPoint(LineOf(P, B), O2) = B;A: Point;B: Point;Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 757,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0757.png",
+      "answer": "2/7",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;m: Number;n: Number;Coordinate(P) = (m, n);PointOnCurve(P, G);Distance(P, Focus(G)) = 8*m",
+      "coords": {}
+    },
+    {
+      "index": 758,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0758.png",
+      "answer": "4*sqrt(5)/3",
+      "fact_expr": "H: Line;Expression(H) = (y = x - 1);G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 759,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0759.png",
+      "answer": "(0, sqrt(3))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;e: Number;Eccentricity(G) = e;In(e, (1, 2))",
+      "coords": {}
+    },
+    {
+      "index": 760,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0760.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;A: Point;Q: Point;H:Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;Center(H)=A;Radius(H)=sqrt(2)*a;Intersection(H,RightPart(C))={P,Q};AngleOf(P, A, Q) = pi/2",
+      "coords": {}
+    },
+    {
+      "index": 761,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0761.png",
+      "answer": "8",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;M: Point;B: Point;Expression(C) = (y^2 = 6*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(Directrix(C), xAxis) = M;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(M, F))",
+      "coords": {}
+    },
+    {
+      "index": 762,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 763,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0763.png",
+      "answer": "(2,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 764,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0764.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;Expression(G) = (-y^2/2 + x^2/a = 1);Expression(H) = (x^2/4 + y^2/a^2 = 1);Focus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 765,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0765.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;B: Point;A: Point;O: Origin;Expression(G) = (x^2 - y^2/2 = 1);PointOnCurve(A, G);PointOnCurve(B, G);DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 766,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_0766.png",
+      "answer": "y^2/4-x^2=1",
+      "fact_expr": "E: Hyperbola;Expression(Asymptote(E)) = (y = pm*2*x);Coordinate(Focus(E)) = (0, pm*sqrt(5))",
+      "coords": {}
+    },
+    {
+      "index": 767,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0767.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 2)",
+      "coords": {}
+    },
+    {
+      "index": 768,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0768.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, xAxis) = True;G: Line;Expression(G) = (y = m + 2*x);m: Number;Negation(m = 0);NumIntersection(G, C) = 1;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 769,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0769.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;G: Line;P: Point;B: Point;A: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(P) = (1, 0);Focus(C) = F;PointOnCurve(P, G);Intersection(G, C) = {A, B};2*VectorOf(B, P) = VectorOf(P, A)",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 770,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0770.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 771,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0771.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;B: Point;F1: Point;F2: Point;a>0;b>0;l:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1,F2};PointOnCurve(F2,l);IsPerpendicular(l,xAxis);Intersection(l,G)={A,B};Radius(InscribedCircle(TriangleOf(A,B,F1)))=a",
+      "coords": {}
+    },
+    {
+      "index": 772,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 773,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0773.png",
+      "answer": "10",
+      "fact_expr": "F: Point;LeftFocus(E) = F;E: Ellipse;Expression(E) = (x^2/16 + y^2/12 = 1);P: Point;PointOnCurve(P, E) = True;A: Point;Coordinate(A) = (1, sqrt(3))",
+      "coords": {
+        "A": [
+          1.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 774,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0774.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 775,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.2628633975982666,
+        "b": 1.8162860737044515,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.6997004191253788e-06,
+        "converged": true,
+        "iterations": 101
+      },
+      "output_path": "results/test/ellipse/problem_0775.png",
+      "answer": "",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);A: Point;Coordinate(A)=(1, 2);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 776,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 777,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0777.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;m: Number;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/m = 1);Coordinate(F1) = (-4, 0);Coordinate(F2) = (4, 0);Focus(G) = {F1,F2}",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ],
+        "F2": [
+          4.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 778,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0778.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(F2, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 779,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0779.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y = x^2/4);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(30, degree);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 780,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 781,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 782,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 783,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0783.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 6;Abs(LineSegmentOf(B, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 784,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 785,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0785.png",
+      "answer": "5/2",
+      "fact_expr": "G: Ellipse;a: Number;B: Point;P: Point;e:Number;a>1;Expression(G) = (x^2 + y^2/a^2 = 1);Coordinate(B) = (-1, 0);Eccentricity(G)=e;e = (2*sqrt(5))/5;PointOnCurve(P, G)",
+      "coords": {
+        "B": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 786,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0786.png",
+      "answer": "{(2,3),(-2,3)}",
+      "fact_expr": "C: Ellipse;l: Line;P: Point;B: Point;A: Point;Expression(C) = (x^2/16 + y^2/12 = 1);Coordinate(P) = (0, 6);PointOnCurve(P, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(P,B)) = A",
+      "coords": {
+        "P": [
+          0.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 787,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0787.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "C: Parabola;p: Number;G: Line;F: Point;A: Point;B: Point;H:Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(H) = (-1, 0);Focus(C) = F;PointOnCurve(H, G);Intersection(G, C) = {A, B};Min(4*Abs(LineSegmentOf(F, A)) + Abs(LineSegmentOf(F, B))) = 19",
+      "coords": {
+        "H": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 788,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0788.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;B: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);Intersection(l, LeftPart(C)) =A;Intersection(l,RightPart(C))=B;IsDiameter(LineSegmentOf(A,B),G);PointOnCurve(F2,G);Abs(LineSegmentOf(A,F2))=Abs(LineSegmentOf(B,F2))",
+      "coords": {}
+    },
+    {
+      "index": 789,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0789.png",
+      "answer": "pm*sqrt(6)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);A: Point;B: Point;LeftVertex(C) = A;RightVertex(C) = B;P: Point;PointOnCurve(P, C);Negation(P=A);Negation(P=B);M: Point;Intersection(LineOf(A, P), yAxis) = M;N: Point;PointOnCurve(A, LineOf(A, N));IsParallel(LineOf(A, N), LineOf(B, P));Intersection(LineOf(A, N), yAxis) = N;S: Point;t: Number;Coordinate(S) = (t, 0);DotProduct(VectorOf(S, M), VectorOf(S, N)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 790,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0790.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1,F2};PointOnCurve(P,G);AngleOf(F1,P,F2)=ApplyUnit(90,degree)",
+      "coords": {}
+    },
+    {
+      "index": 791,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0791.png",
+      "answer": "2/5",
+      "fact_expr": "C: Ellipse;l: Line;l1:Line;A: Point;B: Point;D: Point;F: Point;Expression(C) = (x^2/25 + y^2/9 = 1);RightFocus(C) = F;PointOnCurve(F,l);Negation(IsParallel(l,yAxis));Intersection(l,C)={A,B};PerpendicularBisector(LineSegmentOf(A, B)) = l1;Intersection(MajorAxis(C),l1)=D",
+      "coords": {}
+    },
+    {
+      "index": 792,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0792.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(E) = F;F: Point;M: Point;N: Point;J: Line;OneOf(Asymptote(E)) = J;PointOnCurve(M, J) = True;PointOnCurve(N, J) = True;Abs(LineSegmentOf(F, M)) = Abs(LineSegmentOf(F, N));Abs(LineSegmentOf(F, N)) = sqrt(3)*a;DotProduct(VectorOf(F, M), VectorOf(F, N)) = a^2",
+      "coords": {}
+    },
+    {
+      "index": 793,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0793.png",
+      "answer": "sqrt(13)-2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;Q: Point;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);PointOnCurve(Q,Asymptote(C));Quadrant(P)=1;Quadrant(Q)=1;2*VectorOf(Q, P) = VectorOf(P, F2);DotProduct(VectorOf(Q, F1), VectorOf(Q, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 794,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0794.png",
+      "answer": "[0,2]",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 + y^2/12 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 795,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0795.png",
+      "answer": "0",
+      "fact_expr": "G: Hyperbola;b: Number;P: Point;F1: Point;F2: Point;y0:Number;b>0;Expression(G) = (x^2/2 - y^2/b^2 = 1);Coordinate(P) = (sqrt(3), y0);LeftFocus(G) = F1;RightFocus(G) = F2;Expression(OneOf(Asymptote(G)))=(y=x);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 796,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0796.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Tan(AngleOf(P, F1, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 797,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0797.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Eccentricity(G) = 5/4;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(F1, P, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 798,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0798.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/12 = 1);P: Point;PointOnCurve(P, G);XCoordinate(P) = XCoordinate(RightFocus(G))",
+      "coords": {}
+    },
+    {
+      "index": 799,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0799.png",
+      "answer": "(1, 3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Min(Abs(LineSegmentOf(P, F1))^2/Abs(LineSegmentOf(P, F2))) = 8*a;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 800,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0800.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;Intersection(Directrix(G),xAxis)=M;PointOnCurve(N,G);Abs(LineSegmentOf(M,N))=2*Abs(LineSegmentOf(N,F))",
+      "coords": {}
+    },
+    {
+      "index": 801,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0801.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;L:Line;PointOnCurve(F2,L);IsPerpendicular(Asymptote(C),L);Center(G)=F1;Radius(G)=Abs(LineSegmentOf(O,F1));IsTangent(L,G)",
+      "coords": {}
+    },
+    {
+      "index": 802,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 803,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_0803.png",
+      "answer": "2/7",
+      "fact_expr": "C: Ellipse;a: Number;G: Line;a>sqrt(2);Expression(C) = (y^2/3 + x^2/a^2 = 1);Expression(G) = (y = 6*x);Eccentricity(C) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 804,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0804.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (x^2 = 4*y);PointOnCurve(A, G);Distance(A, Focus(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 805,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0805.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;Q: Point;F1: Point;O: Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;PointOnCurve(P,G);PointOnCurve(Q, RightDirectrix(G));VectorOf(P, Q) = 2*VectorOf(F1, O);lambda:Number;VectorOf(F1, Q) = lambda*(VectorOf(F1, O)/Abs(VectorOf(F1, O)) + VectorOf(F1, P)/Abs(VectorOf(F1, P)));lambda>0",
+      "coords": {}
+    },
+    {
+      "index": 806,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0806.png",
+      "answer": "sqrt(5)-1",
+      "fact_expr": "G: Parabola;P: Point;A: Point;M: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (2, 0);PointOnCurve(P,G);Projection(P, xAxis) = M",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 807,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0807.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(5)/3;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(P, F1) + Distance(P, F2) = 12",
+      "coords": {}
+    },
+    {
+      "index": 808,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0808.png",
+      "answer": "21",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/25 - y^2/24 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 11",
+      "coords": {}
+    },
+    {
+      "index": 809,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0809.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (1, 4/3);PointOnCurve(P,Asymptote(G))",
+      "coords": {
+        "P": [
+          1.0,
+          1.3333333333333333
+        ]
+      }
+    },
+    {
+      "index": 810,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0810.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "E: Parabola;p: Number;A: Point;F: Point;O: Origin;p>0;Expression(E) = (y^2 = 2*(p*x));Focus(E) = F;PointOnCurve(A, E);Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(O, F));Abs(LineSegmentOf(O, A)) = sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 811,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 812,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 813,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0813.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "l: Line;C: Hyperbola;a: Number;A: Point;B: Point;F2: Point;F1: Point;a>0;Expression(C) = (-y^2/2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);IsPerpendicular(xAxis,l);Intersection(l, C) = {A, B};Area(TriangleOf(A, B, F2)) = 2*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 814,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 815,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0815.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);M: Point;PointOnCurve(M, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(M, F1) = 4",
+      "coords": {}
+    },
+    {
+      "index": 816,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0816.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H: Circle;O: Origin;F:Point;p>0;Expression(G) = (y^2 = 2*p*x);Directrix(G)=l;Radius(H)=3;Vertex(G)=O;Focus(G)=F;PointOnCurve(O,H);PointOnCurve(F,H);IsTangent(H,l)",
+      "coords": {}
+    },
+    {
+      "index": 817,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 818,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0818.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "M: Point;Coordinate(M) = (1, 1);Slope(l) = -1/3;PointOnCurve(M, l) = True;l: Line;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;B: Point;A: Point",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 819,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0819.png",
+      "answer": "2",
+      "fact_expr": "E: Parabola;p: Number;A: Point;F: Point;B: Point;G: Circle;p>0;Expression(E) = (y^2 = 2*(p*x));Focus(E) = F;PointOnCurve(A, E);Center(G) = A;IsTangent(G, yAxis);Intersection(G, LineSegmentOf(A, F)) = B;Abs(LineSegmentOf(A, B)) = 2*Abs(LineSegmentOf(B, F));Length(InterceptChord(PerpendicularBisector(LineSegmentOf(A, F)), G)) = sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 820,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0820.png",
+      "answer": "{3,1/3}",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;Focus(C) = F;F: Point;Coordinate(F) = (1, 0);PointOnCurve(F, G) = True;G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;Intersection(Directrix(C), xAxis) = M;M: Point;Area(TriangleOf(M, A, B)) = 8*sqrt(3)/3",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 821,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 822,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 823,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0823.png",
+      "answer": "{ApplyUnit(45, degree), pi/4}",
+      "fact_expr": "C: Parabola;p: Number;M: Point;F: Point;K: Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(M, C);Focus(C) = F;Abs(LineSegmentOf(M, F)) = p;Intersection(Directrix(C), xAxis) = K",
+      "coords": {}
+    },
+    {
+      "index": 824,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0824.png",
+      "answer": "1+2*sqrt(2)",
+      "fact_expr": "l: Line;C: Hyperbola;P: Point;F1: Point;Q: Point;Expression(C) = (x^2/2 - y^2 = 1);PointOnCurve(P, RightPart(C));OneOf(Asymptote(C))=l;Projection(P,l)=Q;LeftFocus(C)=F1",
+      "coords": {}
+    },
+    {
+      "index": 825,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0825.png",
+      "answer": "[sqrt(2)/2,1)",
+      "fact_expr": "G: Ellipse;m: Number;n: Number;H: Curve;e: Number;m > n;n > 0;Expression(G) = (y^2/n + x^2/m = 1);Expression(H) = (x^2 + y^2 = Abs(m - n));IsIntersect(G, H);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 826,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0826.png",
+      "answer": "3",
+      "fact_expr": "A: Point;B: Point;l: Line;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 827,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 828,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 829,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0830.png",
+      "answer": "x^2-y^2/24=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;LeftFocus(G) = F1;RightFocus(G) = F2;F1: Point;F2: Point;O: Origin;Abs(LineSegmentOf(F1, F2)) = 10;M: Point;PointOnCurve(M, LeftPart(G)) = True;Abs(LineSegmentOf(O, M)) = sqrt(a^2 + b^2);4*Abs(LineSegmentOf(M, F1)) = 3*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 831,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0831.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G) = True;Distance(P, Directrix(G)) = d1;d1: Number;l: Line;Expression(l) = (4*x - 3*y + 16 = 0);Distance(P, l) = d2;d2: Number",
+      "coords": {}
+    },
+    {
+      "index": 832,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0832.png",
+      "answer": "(0,20)",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;I: Point;Expression(C) = (x^2/9 - y^2/16 = 1);LeftFocus(C)=F1;RightFocus(C) = F2;Quadrant(P) = 1;PointOnCurve(P, C);Incenter(TriangleOf(P, F1, F2)) = I",
+      "coords": {}
+    },
+    {
+      "index": 833,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0833.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "l: Line;Expression(l)=(x=m*y+1);m: Number;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;F: Point;Focus(C)=F;PointOnCurve(F,l);A: Point;B: Point;Intersection(l,C)={A,B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 834,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0834.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;C: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, LineOf(A, B));Intersection(LineOf(A, B), G) = {A, B};Intersection(LineOf(A, B), Directrix(G)) = C;Abs(LineSegmentOf(B, C)) = 2*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 835,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0835.png",
+      "answer": "4*sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;B: Point;Expression(G) = (x^2/2 - y^2/3 = 1);Expression(H) = (y = x + 1);Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 836,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0836.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/8 + y^2/2 = 1);G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 837,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 13.0,
+        "b": 12.0,
+        "major_axis": "x",
+        "x_coef": 169.0,
+        "y_coef": 144.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0837.png",
+      "answer": "22",
+      "fact_expr": "G: Ellipse;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/169 + y^2/144 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 838,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0838.png",
+      "answer": "y=2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -8*y)",
+      "coords": {}
+    },
+    {
+      "index": 839,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0839.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 840,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0840.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 841,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0841.png",
+      "answer": "",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (4*x - 3*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 842,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0842.png",
+      "answer": "sqrt(34)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = (3/5)*x)",
+      "coords": {}
+    },
+    {
+      "index": 843,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 844,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0844.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "C:Ellipse;a:Number;b:Number;lambda:Number;F1:Point;P:Point ;Q:Point;O:Origin;a>b ;b>0;Expression(C)=(x^2/a^2+y^2/b^2=1);LeftFocus(C)=F1;PointOnCurve(P,C);PointOnCurve(Q,RightDirectrix(C));VectorOf(P,Q)=2*VectorOf(F1,O);VectorOf(F1,Q) = lambda * (VectorOf(F1,P)/Abs(VectorOf(F1,P))+VectorOf(F1,O)/Abs(VectorOf(F1,O)));lambda>0;Negation(RightVertex(C)=P)",
+      "coords": {}
+    },
+    {
+      "index": 845,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/test/hyperbola/problem_0845.png",
+      "answer": "y^2/3-x^2=1",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*sqrt(3)*x);P: Point;Coordinate(P) = (sqrt(3), 2*sqrt(3));PointOnCurve(P, G) = True",
+      "coords": {
+        "P": [
+          1.7320508075688772,
+          3.4641016151377544
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 846,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0846.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Line;M: Point;F: Point;A: Point;p>0;x0: Number;x0 > p/2;Expression(C) = (y^2 = 2*(p*x));Expression(H) = (x = p/2);Coordinate(M) = (x0, 2*sqrt(2));Focus(C) = F;PointOnCurve(M, C);Center(G) = M;Intersection(G, LineSegmentOf(M, F)) = A;Length(InterceptChord(H, G)) = sqrt(3)*Abs(LineSegmentOf(M, A));Abs(LineSegmentOf(M, A)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 847,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0847.png",
+      "answer": "-1/3",
+      "fact_expr": "G: Hyperbola;m: Real;n: Real;H: Ellipse;Expression(G) = (y^2/n + x^2/m = 1);Expression(H) = (x^2/5 + y^2/4 = 1);Eccentricity(G)=2;Focus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 848,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0848.png",
+      "answer": "{(1,-4),(1,4)}",
+      "fact_expr": "M: Parabola;P: Point;F: Point;Expression(M) = (y^2 = 16*x);Focus(M)=F;PointOnCurve(P, M);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 849,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0849.png",
+      "answer": "2\ny=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 850,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0850.png",
+      "answer": "x^2/9-y^2/16=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (5, 0);OneOf(Focus(G))=H;Expression(OneOf(Asymptote(G)))=(3*y-4*x=0)",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 851,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0851.png",
+      "answer": "20",
+      "fact_expr": "l1: Line;Expression(l1) = (2*x -y + 6 = 0);l2: Line;Expression(l2) = (x = -1);C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);WhenMin(Distance(P, l1) + Distance(P, l2))",
+      "coords": {}
+    },
+    {
+      "index": 852,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0852.png",
+      "answer": "y = pm*(4/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;I: Point;F: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 20*x);Coordinate(I) = (15/4, 3);Focus(H) = F;RightFocus(G) = F;PointOnCurve(I, G)",
+      "coords": {
+        "I": [
+          3.75,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 853,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0853.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 16*x);PointOnCurve(P, G);Distance(P, yAxis) = 6",
+      "coords": {}
+    },
+    {
+      "index": 854,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 855,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0855.png",
+      "answer": "x=-1\n(1,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 856,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 857,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0857.png",
+      "answer": "6-2*sqrt(6)",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;A: Point;Q: Point;F: Point;Expression(G) = (x^2/6 + y^2/2 = 1);Expression(H) = (x^2 + y^2 = 8);RightFocus(G) = F;UpperVertex(G) = A;PointOnCurve(P, H);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 858,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0858.png",
+      "answer": "[0,sqrt(2)]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);P: Point;PointOnCurve(P,C) = True;DotProduct(VectorOf(O,P),VectorOf(P,F2)) >= -1;O: Origin;F2: Point;RightFocus(C) = F2",
+      "coords": {}
+    },
+    {
+      "index": 859,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0859.png",
+      "answer": "sqrt(2)\n0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2/b^2 = 1);b: Number;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Expression(OneOf(Asymptote(G))) = (y = x);y0: Number;P: Point;Coordinate(P) = (sqrt(3), y0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 860,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0860.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: LineSegment;P: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(P) = (3, 1);IsChordOf(H,G);MidPoint(H)=P;Slope(OverlappingLine(H))=2",
+      "coords": {
+        "P": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 861,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 862,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0862.png",
+      "answer": "y=pm*(sqrt(10)/4)*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;RightFocus(G) = F;I: Point;Coordinate(I) = ((3*a^2)/p, (2*b^2)/p);PointOnCurve(I, G)",
+      "coords": {}
+    },
+    {
+      "index": 863,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 864,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0864.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;K: Point;Coordinate(K) = (2, 0);H: Line;PointOnCurve(K, H);A: Point;B: Point;Intersection(H, G) = {A, B};C: Point;Intersection(H, Directrix(G)) = C;Area(TriangleOf(A, C, F))/Area(TriangleOf(B, C, F)) = 2/5",
+      "coords": {
+        "K": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 865,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0865.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "B: Point;F: Point;C: Hyperbola;a: Number;b: Number;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;RightFocus(C)=F;Intersection(LeftDirectrix(C),xAxis)=B;MidPoint(LineSegmentOf(B, F)) = A",
+      "coords": {}
+    },
+    {
+      "index": 866,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0866.png",
+      "answer": "[1/2,1)",
+      "fact_expr": "A: Point;P: Point;G: Ellipse;b: Number;a: Number;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;Intersection(RightDirectrix(G), xAxis) = A;PointOnCurve(P,G);PointOnCurve(F,PerpendicularBisector(LineSegmentOf(A,P)))",
+      "coords": {}
+    },
+    {
+      "index": 867,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 868,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0868.png",
+      "answer": "4",
+      "fact_expr": "F1:Point;F2:Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;b: Number;a: Number;a>0;b>0;e:Number;Eccentricity(C)=e;P: Point;PointOnCurve(P,RightPart(C));DotProduct(VectorOf(P,F2),VectorOf(F1,F2)) =0;Abs(VectorOf(P, F2)) = (2*sqrt(3))/3;e=2*sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 869,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0869.png",
+      "answer": "2+sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2);M: Point;N: Point;PointOnCurve(M, G);PointOnCurve(N, G);Negation(M=N);F: Point;Focus(G) = F;AngleOf(M, F, N) = ApplyUnit(135, degree);IsChordOf(LineSegmentOf(M, N), G);P: Point;MidPoint(LineSegmentOf(M, N)) = P;l: Line;Expression(l) = (y=-1/16);d: Number;Distance(P, l) = d;lambda: Number;Abs(LineSegmentOf(M, N))^2 = (d^2)*lambda",
+      "coords": {}
+    },
+    {
+      "index": 870,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0870.png",
+      "answer": "{[-1-sqrt(3),0)+(0,1+sqrt(3)]}",
+      "fact_expr": "l: Line;C: Curve;M: Point;Q: Point;N: Point;n:Number;Expression(C) = (x^2/2 + y^2 = 1);Expression(l)=(y=1);Intersection(l,yAxis)=M;PointOnCurve(Q,l);Negation(Q=M);XCoordinate(MidPoint(Q)) = n;PointOnCurve(N, C);AngleOf(M, Q, N) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 871,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0871.png",
+      "answer": "sqrt(3) + 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Origin;M: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, RightPart(G));DotProduct((VectorOf(O, F2) + VectorOf(O, M)),VectorOf(F2, M)) = 0;Abs(VectorOf(M, F1)) = sqrt(3)*Abs(VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 872,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          1.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0872.png",
+      "answer": "16",
+      "fact_expr": "H: Line;b: Number;a: Number;c: Number;b*c>0;Expression(H) = (a*x + b*y + c - 1 = 0);G: Circle;Expression(G) = (-2*y + x^2 + y^2 - 15 = 0);PointOnCurve(Center(G),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 873,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 874,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_0874.png",
+      "answer": "(pm*2, 0)\ny=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Eccentricity(G) = 2;H: Parabola;Expression(H) = (y^2 = 8*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 875,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 876,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0876.png",
+      "answer": "[-1/3, 0)+(0, 1/3]",
+      "fact_expr": "G: Hyperbola;k: Real;H: Circle;Expression(G) = (x^2/9 - y^2/4 = k^2);Expression(H) = (x^2 + y^2 = 1);IsIntersect(G, H)",
+      "coords": {}
+    },
+    {
+      "index": 877,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 5.291502622129181,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 28.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0877.png",
+      "answer": "5",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;O: Origin;M: Point;Expression(C) = (x^2/64 + y^2/28 = 1);LeftFocus(C) = F1;PointOnCurve(P, C);Distance(P,LeftFocus(C))=6;MidPoint(LineSegmentOf(P,F1)) = M",
+      "coords": {}
+    },
+    {
+      "index": 878,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0878.png",
+      "answer": "ApplyUnit(90,degree)",
+      "fact_expr": "G: Hyperbola;H: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/2 - y^2/2 = 1);Expression(H) = (x^2/6 + y^2/2 = 1);OneOf(Intersection(G,H))=P;Focus(G)={F1,F2};Focus(H)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 879,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0879.png",
+      "answer": "(-2, 0)+(0, 2)",
+      "fact_expr": "H: Circle;Expression(H) = (x^2 + y^2 = R^2);R: Number;G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1);NumIntersection(H, G) = 0",
+      "coords": {}
+    },
+    {
+      "index": 880,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0880.png",
+      "answer": "x=-3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x)",
+      "coords": {}
+    },
+    {
+      "index": 881,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0881.png",
+      "answer": "sqrt(5)-2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F1: Point;LeftFocus(G) = F1;H: Circle;Expression(H) = (x^2 + y^2 = 4);L1: Line;TangentOfPoint(F1, H) = L1;Intersection(L1, RightPart(G)) = P;P: Point;TangentPoint(L1, H) = T;T: Point;MidPoint(LineSegmentOf(P, F1)) = M;M: Point;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 882,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0882.png",
+      "answer": "y=-1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y)",
+      "coords": {}
+    },
+    {
+      "index": 883,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0883.png",
+      "answer": "[sqrt(2), +oo)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;I: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2)) = I;Center(InscribedCircle(TriangleOf(P, F1, F2))) = I;Area(TriangleOf(I, P, F1)) - Area(TriangleOf(I, P, F2)) <= (sqrt(2)/2)*Area(TriangleOf(I, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 884,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0884.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/5 + y^2/m = 1);m: Real;Coordinate(OneOf(Focus(G))) = (0, 2)",
+      "coords": {}
+    },
+    {
+      "index": 885,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.552875593585339,
+        "b": 2.3303634978370953,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3057248743840209e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/test/hyperbola/problem_0885.png",
+      "answer": "x^2/4-y^2/9=1",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(3/2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 886,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0886.png",
+      "answer": "4/5",
+      "fact_expr": "alpha: Number;Inclination(l) = alpha;l: Line;Slope(l) = Eccentricity(G);G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 887,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0887.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Distance(P, LeftFocus(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 888,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0888.png",
+      "answer": "12",
+      "fact_expr": "C1: Ellipse;C2: Ellipse;O: Origin;M: Point;N: Point;Expression(C1) = (x^2/16+y^2/9=1);Expression(C2) = (x^2/64+y^2/36=1);PointOnCurve(M,C1);PointOnCurve(N,C2)",
+      "coords": {}
+    },
+    {
+      "index": 889,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0889.png",
+      "answer": "(1,sqrt(5))",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Line;PointOnCurve(RightFocus(E), G);Slope(G) = 2;NumIntersection(G, RightPart(E)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 890,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_0890.png",
+      "answer": "x^2/4-y^2/12 = 1",
+      "fact_expr": "E: Hyperbola;a: Number;b: Number;a > 0;b > 0;Expression(E) = (x^2/a^2 - y^2/b^2 = 1);Expression(OneOf(Asymptote(E))) = (y = sqrt(3)*x);F: Parabola;Expression(F) = (y^2 = 16*x);OneOf(Focus(E)) = Focus(F)",
+      "coords": {}
+    },
+    {
+      "index": 891,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0891.png",
+      "answer": "1/4",
+      "fact_expr": "C: Parabola;l1:Line;l2:Line;A: Point;B: Point;D: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F,l1);PointOnCurve(F,l2);IsPerpendicular(l1,l2);Intersection(l1,C)={A, B};Intersection(l2,C)={D, E}",
+      "coords": {}
+    },
+    {
+      "index": 892,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_0892.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;H: Ellipse;m: Number;n: Number;Expression(G) = (y^2 = 4*x);m > n;n > 0;Expression(H) = (y^2/n + x^2/m = 1);Eccentricity(H) = 1/2;OneOf(Focus(H))=Focus(G)",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 893,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0893.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;O: Origin;H: Line;PointOnCurve(Focus(G), H);IsPerpendicular(H, xAxis);P: Point;Intersection(H, G) = P;LineSegmentOf(P, O) = 3*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 894,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0894.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 895,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/test/hyperbola/problem_0895.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = 2*x);Expression(RightDirectrix(G)) = (x = sqrt(5)/5)",
+      "coords": {}
+    },
+    {
+      "index": 896,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_0896.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;m: Number;Expression(C) = (-y^2/4 + x^2/m = 1);Eccentricity(C) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 897,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0897.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;OneOf(Focus(C)) = F;G: Circle;Expression(G) = (x^2 + y^2 = a^2);TangentOfPoint(F, G) = {l1, l2};l1: Line;l2: Line;TangentPoint(l1,G) = A;TangentPoint(l2,G) = B;A: Point;B: Point;AngleOf(A, F, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 898,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0898.png",
+      "answer": "(1,3]",
+      "fact_expr": "F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P,LeftPart(G)) = True;Abs(LineSegmentOf(P,F2))^2/Abs(LineSegmentOf(P,F1)) = 8*a",
+      "coords": {}
+    },
+    {
+      "index": 899,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 900,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0900.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;m: Number;m>0;Expression(G) = (y^2 + x^2/m = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 901,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0901.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*(3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 902,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0902.png",
+      "answer": "[1, 4]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Length(MinorAxis(G)) = 2;A: Point;UpperVertex(G) = A;B: Point;LeftVertex(G) = B;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Area(TriangleOf(F1, A, B)) = (2 - sqrt(3))/2;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 903,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0903.png",
+      "answer": "4",
+      "fact_expr": "P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F: Point;Coordinate(F) = (3, 0);Abs(LineSegmentOf(P, F)) = 2;O: Origin;M: Point;MidPoint(LineSegmentOf(P, F)) = M",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 904,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 905,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0905.png",
+      "answer": "0",
+      "fact_expr": "C: Parabola;p:Number;p>0;A: Point;B: Point;P: Point;F: Point;Expression(C) = (x^2 = 2*(p*y));Focus(C) = F;IsChordOf(LineSegmentOf(A,B),C);PointOnCurve(F,LineSegmentOf(A,B));l1:Line;l2:Line;TangentOfPoint(A,C)=l1;TangentOfPoint(B,C)=l2;Intersection(l1,l2)=P",
+      "coords": {}
+    },
+    {
+      "index": 906,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0906.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;O: Origin;B: Point;M: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (4, 0);DotProduct(VectorOf(O, A), VectorOf(O, B)) = -4;Intersection(l,C)={A,B};Quadrant(A) = 1;WhenMin(Area(TriangleOf(A,B,M)))",
+      "coords": {
+        "M": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 907,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0907.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;G: Line;a: Number;b: Number;P: Point;F1: Point;F2: Point;Q: Point;Expression(G) = (y = x*(b/a));LeftFocus(C) = F1;RightFocus(C) = F2;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2));MidPoint(LineSegmentOf(P, F1)) = Q;PointOnCurve(Q, G);a > 0;b > 0",
+      "coords": {}
+    },
+    {
+      "index": 908,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0908.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 909,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0909.png",
+      "answer": "3*x-2*y-16=0",
+      "fact_expr": "G: Hyperbola;H: Line;B: Point;C: Point;A: Point;Expression(G) = (x^2 - 4*y^2 = 16);Coordinate(A) = (6, 1);PointOnCurve(A, H);Intersection(H, G) = {B, C};MidPoint(LineSegmentOf(B,C))=A",
+      "coords": {
+        "A": [
+          6.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 910,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0910.png",
+      "answer": "2*sqrt(2)-2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 911,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 912,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_0912.png",
+      "answer": "x^2-y^2/4=1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (sqrt(2), 2);PointOnCurve(H,G) = True;Expression(Asymptote(G)) = (y = pm*2*x)",
+      "coords": {
+        "H": [
+          1.4142135623730951,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 913,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 914,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0914.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;A: Point;M: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (2, 0);PointOnCurve(M, G)",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 915,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0915.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 916,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0916.png",
+      "answer": "2",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 4*x);M: Point;Coordinate(M) = (2, 0);l: Line;B: Point;A: Point;PointOnCurve(M,l) = True;Intersection(l, E) = {A, B};C: Point;Intersection(Directrix(E) , l) = C;Quadrant(A) = 1 ;Abs(LineSegmentOf(C, B))/Abs(LineSegmentOf(A, B)) = 2/3",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 917,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0917.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 918,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 919,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0919.png",
+      "answer": "9*sqrt(2)/4",
+      "fact_expr": "C: Hyperbola;a, b: Number;b > a;a > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;Coordinate(P) = (2, sqrt(2));PointOnCurve(P, C);Abs(LineSegmentOf(P, F1))/Abs(LineSegmentOf(P, F2)) = 3;A: Point;Intersection(LineSegmentOf(P, F1), C) = {P, A}",
+      "coords": {
+        "P": [
+          2.0,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 920,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 921,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0921.png",
+      "answer": "(1,sqrt(2)+1)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;c:Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Sin(AngleOf(P, F1, F2))/Sin(AngleOf(P, F2, F1)) = a/c",
+      "coords": {}
+    },
+    {
+      "index": 922,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0922.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Hyperbola;A: Point;F1: Point;B: Point;F2: Point;Expression(C) = (x^2 - y^2/8 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(F2, l);Intersection(l, LeftPart(C)) = A;Abs(LineSegmentOf(A, F1)) = Abs(LineSegmentOf(B, F1));Intersection(l, RightPart(C)) = B",
+      "coords": {}
+    },
+    {
+      "index": 923,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0923.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C) = True;Abs(LineSegmentOf(M, F)) = 5;IsDiameter(LineSegmentOf(M, F), G) = True;G: Circle;PointOnCurve(D, G) = True;D: Point;Coordinate(D) = (0,2);p > Abs(LineSegmentOf(M, F))",
+      "coords": {
+        "D": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 924,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0924.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);M: Point;Coordinate(M) = (-1, 1/2);H: LineSegment;IsChordOf(H, G) = True;MidPoint(H) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 925,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_0925.png",
+      "answer": "16",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Line;H: Point;A: Point;B: Point;F2: Point;F1:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (-2, 0);PointOnCurve(H, C);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(F1, G);Intersection(G, LeftPart(C)) = {A, B};AngleOf(A, F2, B) = ApplyUnit(45, degree);Abs(LineSegmentOf(A, F2)) = 8",
+      "coords": {
+        "H": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 926,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0926.png",
+      "answer": "(sqrt(7) - 1)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;RightVertex(G) = A;Z: Line;PointOnCurve(F, Z);IsPerpendicular(Z, xAxis);Intersection(Z, G) = P;Radius(InscribedCircle(TriangleOf(A, F, P))) = sqrt(a^2 - b^2)/2",
+      "coords": {}
+    },
+    {
+      "index": 927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0927.png",
+      "answer": "x^2/4-y^2/5=1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (y = (sqrt(5)/2)*x);G: Ellipse;Expression(G) = (x^2/12 + y^2/3 = 1);Focus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 928,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 929,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0929.png",
+      "answer": "36",
+      "fact_expr": "C: Ellipse;a: Number;F1: Point;P: Point;F2: Point;a>3;Expression(C) = (y^2/9 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 930,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.6638543605804443,
+        "b": 2.2922656641629255,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.1016254280344046e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/ellipse/problem_0930.png",
+      "answer": "(-1,1)",
+      "fact_expr": "G: Ellipse;n: Number;m: Number;P: Point;A: Point;B: Point;m>0;n>0;Expression(G) = (y^2/n + x^2/m = 1);Coordinate(A) = (-1, -3);Coordinate(B) = (2, 0);Coordinate(P) = (x1, y1);x1:Number;y1:Number;-1<x1;x1<2;y1<0;PointOnCurve(P, G);PointOnCurve(A,G);PointOnCurve(B,G)",
+      "coords": {
+        "A": [
+          -1.0,
+          -3.0
+        ],
+        "B": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 931,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0931.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(P) = (x1, y1);Quadrant(P) = 1;PointOnCurve(P, G);x1:Number;y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 932,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0932.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);Expression(OneOf(Directrix(G))) = (y = m)",
+      "coords": {}
+    },
+    {
+      "index": 933,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 934,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/hyperbola/problem_0934.png",
+      "answer": "sqrt(2)*x+pm*2*y=0",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 935,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0935.png",
+      "answer": "5*x+y-1=0",
+      "fact_expr": "l: Line;Expression(l) = (k*x - y + 1 = 0);k: Number;C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;B: Point;Intersection(l, C) = {A, B};O: Origin;P: Point;Intersection(Directrix(C), xAxis) = P;DotProduct(VectorOf(O, A), VectorOf(O, B)) < 0;WhenMin(DotProduct(VectorOf(P, A), VectorOf(P, B)))",
+      "coords": {}
+    },
+    {
+      "index": 936,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0936.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Z1: Line;Z2: Line;Asymptote(G) = {Z1, Z2};H: Parabola;Expression(H) = (y^2 = 4*x);A: Point;Intersection(Z1, Directrix(H)) = A;B: Point;Intersection(Z2, Directrix(H)) = B;O: Origin;Area(TriangleOf(A, O, B)) = 2*sqrt(3);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 937,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0937.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;a: Number;Expression(G) = (y^2 = 2*(a*x));Expression(Directrix(G)) = (x = -2)",
+      "coords": {}
+    },
+    {
+      "index": 938,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_0938.png",
+      "answer": "(y^2=2*x+1)&(-1/2<=x<=1/2)",
+      "fact_expr": "C: Circle;P: Point;Q: Point;x0:Number;y0:Number;Expression(C) = (x^2 + y^2 = 1);Coordinate(P) = (x0, y0);Coordinate(Q) = (x0*y0, x0 + y0);PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 939,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0939.png",
+      "answer": "2*pi/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;F: Point;Focus(G) = F;A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(A, G);PointOnCurve(B, G);p + x1 + x2 = ((2*sqrt(3))/3)*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 940,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0940.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;M: Point;E: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(G))=F;L:Line;PointOnCurve(F,L);IsPerpendicular(L,Asymptote(G));FootPoint(L,Asymptote(G))=M;Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = E;LineSegmentOf(F, M) = LineSegmentOf(M, E)",
+      "coords": {}
+    },
+    {
+      "index": 941,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 942,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0942.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 943,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0943.png",
+      "answer": "8*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/5 + y^2/4 = 1);F1: Point;LeftFocus(G) = F1;F2: Point;RightFocus(G) = F2;L: Line;PointOnCurve(F1, L)=  True;IsPerpendicular(L, xAxis) = True;Intersection(L, G) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 944,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0944.png",
+      "answer": "(-1+sqrt(5))/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;O: Origin;A: Point;B: Point;F: Point;a > b;b > 0;RightFocus(G) = F;L:Line;IsPerpendicular(L,xAxis);PointOnCurve(F,L);Intersection(L, G) = {A, B};DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 945,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0945.png",
+      "answer": "[2,+oo)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, C) = True;L1: Line;L2: Line;Asymptote(C) = {L1,L2};Distance(P,L1) * Distance(P,L2) = 1;c: Number;HalfFocalLength(C) = c",
+      "coords": {}
+    },
+    {
+      "index": 946,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0946.png",
+      "answer": "10",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;Expression(C) = (y^2 = 2*p*x);Expression(l)=(y=2*x-4);Focus(C)=F;PointOnCurve(F,l);Intersection(l,C)={A,B};F:Point",
+      "coords": {}
+    },
+    {
+      "index": 947,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0947.png",
+      "answer": "x^2/4-y^2/12=1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);G: Hyperbola;Focus(H) = Focus(G);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 948,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0948.png",
+      "answer": "16/3",
+      "fact_expr": "C1: Hyperbola;P: Point;F: Point;Expression(C1) = (x^2/4 - y^2/5 = 1);PointOnCurve(P, C1);RightFocus(C1) = F;LineSegmentOf(P, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 949,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0949.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;b/a = 2;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 950,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0950.png",
+      "answer": "y = pm*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(P, C);AngleOf(P, B, A) = pi/2 + AngleOf(P, A, B)",
+      "coords": {}
+    },
+    {
+      "index": 951,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0951.png",
+      "answer": "sqrt(3)*x + pm*y=0",
+      "fact_expr": "P: Point;Coordinate(P) = (-2, 0);PointOnCurve(P, C);C: Hyperbola;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(C) = Focus(G)",
+      "coords": {
+        "P": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 952,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0952.png",
+      "answer": "y = -1/2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*y)",
+      "coords": {}
+    },
+    {
+      "index": 953,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0953.png",
+      "answer": "1",
+      "fact_expr": "C1: Hyperbola;C: Ellipse;b: Number;a: Number;M: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Expression(C1)=(2*x^2/a^2-y^2=1);Focus(C)=Focus(C1);OneOf(Intersection(C,C1))=M;Abs(LineSegmentOf(M,F1))*Abs(LineSegmentOf(M,F2))=2",
+      "coords": {}
+    },
+    {
+      "index": 954,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0954.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "H: Line;Expression(H) = (y = sqrt(3)*(x - 1));G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 955,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0955.png",
+      "answer": "sqrt(5) - 1",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);Expression(l) = (2*x - y + 3 = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 956,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/test/hyperbola/problem_0956.png",
+      "answer": "y = pm*(sqrt(3)/2)*x",
+      "fact_expr": "C1:Hyperbola;C2:Hyperbola;P:Point;Q:Point;XCoordinate(P)=XCoordinate(Q);YCoordinate(P)=2*YCoordinate(Q);Locus(P)=C1;Locus(Q)=C2;Expression(Asymptote(C1)) = (y = pm*(sqrt(3)*x))",
+      "coords": {}
+    },
+    {
+      "index": 957,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0957.png",
+      "answer": "2*sqrt(21)",
+      "fact_expr": "C: Parabola;G: Circle;A: Point;B: Point;D: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Center(G) = F;Intersection(G, C) = {A, B};Intersection(G, Directrix(C)) = {D, E};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 958,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0958.png",
+      "answer": "(9/2)*sqrt(2)",
+      "fact_expr": "G: Parabola;l1: Line;l2: Line;P:Point;Expression(G) = (x^2 = 16*y);Expression(l1) = (x - y - 5 = 0);Expression(l2) = (y=-4);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 959,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0959.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/16 + x^2/a^2 = 1);Coordinate(OneOf(Focus(G))) = (5, 0)",
+      "coords": {}
+    },
+    {
+      "index": 960,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0960.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 5",
+      "coords": {}
+    },
+    {
+      "index": 961,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0961.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 962,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0962.png",
+      "answer": "y^2=10*x",
+      "fact_expr": "G: Parabola;p: Number;H: Line;O:Origin;p>0;Expression(G) = (y^2 = 2*(p*x));L:Line;PointOnCurve(Focus(G),H);PointOnCurve(O,L);IsPerpendicular(H,L);Coordinate(FootPoint(H,L))=(2,1)",
+      "coords": {}
+    },
+    {
+      "index": 963,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/test/hyperbola/problem_0963.png",
+      "answer": "y^2/3-x^2=1",
+      "fact_expr": "G: Hyperbola;PointOnCurve(Focus(G),yAxis);FocalLength(G) = 4;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 964,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_0964.png",
+      "answer": "{4,1/4}",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b + x^2/a = 1);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 965,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0965.png",
+      "answer": "{x=0, y=-3, x+3*y+9=0}",
+      "fact_expr": "H: Point;Coordinate(H) = (0, -3);l: Line;PointOnCurve(H, l);G: Parabola;Expression(G) = (y^2 = 4*x);NumIntersection(l, G) = 1",
+      "coords": {
+        "H": [
+          0.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 966,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 967,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_0967.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/2 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 968,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0968.png",
+      "answer": "8/3",
+      "fact_expr": "G: Hyperbola;P: Point;A: Point;B: Point;O: Origin;m: Number;n: Number;Expression(G) = (x^2 - y^2/4 = 1);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(P, G);Negation(A = B);Negation(A = P);Negation(P = B);VectorOf(P, A) + VectorOf(P, B) = 2*VectorOf(P, O);Slope(LineSegmentOf(P, A)) = m;Slope(LineSegmentOf(P, B)) = n",
+      "coords": {}
+    },
+    {
+      "index": 969,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0969.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Hyperbola;H: Ellipse;a2: Number;b2: Number;a1: Number;b1: Number;F1: Point;P: Point;F2: Point;a2>0;b2>0;Expression(G) = (-y^2/b2^2 + x^2/a2^2 = 1);a1>b1;b1>0;Expression(H) = (y^2/b1^2 + x^2/a1^2 = 1);OneOf(Intersection(H, G)) = P;Focus(G) = {F1, F2};Focus(H) = {F1, F2};Focus(G) = Focus(H);e1: Number;e2: Number;Eccentricity(H) = e1;Eccentricity(G) = e2;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 970,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/test/hyperbola/problem_0970.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (1, 2);Expression(Asymptote(G)) = (y = pm*sqrt(2)*x);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 971,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0971.png",
+      "answer": "-5",
+      "fact_expr": "G: Hyperbola;H: Ellipse;b: Number;a: Number;A: Point;P: Point;B: Point;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a1:Number;b1:Number;a1 > b1;b1 > 0;Expression(H) = (y^2/b1^2 + x^2/a1^2 = 1);Vertex(G)={A,B};In(A,Vertex(H));In(B,Vertex(H));PointOnCurve(P,G);PointOnCurve(M,H);Negation(P=A);Negation(P=B);Negation(M=A);Negation(M=B);LineSegmentOf(A, P) + LineSegmentOf(B, P) = lambda*(LineSegmentOf(A, M) + LineSegmentOf(B, M));lambda:Real;Slope(LineOf(A,P))=k1;Slope(LineOf(B,P))=k2;Slope(LineOf(A,M))=k3;Slope(LineOf(B,M))=k4;k1:Number;k2:Number;k3:Number;k4:Number;k1+k2=5",
+      "coords": {}
+    },
+    {
+      "index": 972,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0972.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "r: Ellipse;b: Number;a: Number;c: Number;M: Point;F1: Point;F2: Point;G:Line;a > b;b > 0;Expression(r) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = sqrt(3)*(c + x));LeftFocus(r)=F1;RightFocus(r)=F2;FocalLength(r)=2*c;OneOf(Intersection(G,r))=M;AngleOf(M,F1,F2)=2*AngleOf(M,F2,F1)",
+      "coords": {}
+    },
+    {
+      "index": 973,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0973.png",
+      "answer": "20",
+      "fact_expr": "O: Origin;G: Parabola;Expression(G) = (y^2 = 16*x);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;Area(TriangleOf(O, P, F)) = 32",
+      "coords": {}
+    },
+    {
+      "index": 974,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0974.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;A: Point;F: Point;K: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = K;PointOnCurve(A, C);Abs(LineSegmentOf(A, K)) = sqrt(2)*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 975,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0975.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;K: Point;PointOnCurve(K, C);F: Point;Focus(C) = F;G: Point;Coordinate(G) = (4, 0);Min(Distance(K, F) + Distance(K, G)) = 5",
+      "coords": {
+        "G": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 976,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 977,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 978,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0978.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Slope(G) = 1;Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 979,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 980,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0980.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;Endpoint(LineSegmentOf(A, B)) = {A, B};Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);IsChordOf(LineSegmentOf(A,B),G) = True;PointOnCurve(Focus(G),LineSegmentOf(A,B)) = True;x1: Number;y1: Number;x2: Number;y2: Number",
+      "coords": {}
+    },
+    {
+      "index": 981,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0981.png",
+      "answer": "(2*sqrt(6))/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);H: Line;Slope(H) = 1;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 982,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0982.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;k:Number;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3)/2;RightFocus(C)=F;PointOnCurve(F, G);Slope(G)=k;k>0;Intersection(G, C) = {A,B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 983,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0983.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/9 + x^2/m = 1);e: Number;Eccentricity(G) = e;e = 1/2;m: Real;PointOnCurve(Focus(G), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 984,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0984.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;G: Line;F: Point;P: Point;Q: Point;Expression(C) = (x^2/4 - y^2/12 = 1);Expression(G) = (x = 2);RightFocus(C) = F;Quadrant(P) = 1;PointOnCurve(P, G);Quadrant(Q) = 1;Intersection(LineOf(P, F), OneOf(Asymptote(C))) = Q;VectorOf(F, P) = 2*VectorOf(P, Q)",
+      "coords": {}
+    },
+    {
+      "index": 985,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 986,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0986.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Parabola;a: Number;M: Ellipse;b: Number;H: Line;B: Point;A: Point;P: Point;Expression(G) = (y^2 = -a*x);a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = -x);RightVertex(M) = A;UpperVertex(M) = B;Intersection(LineOf(A,B), H) = P;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 987,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0987.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "A: Point;C: Point;N: Point;M: Point;Coordinate(A) = (0, 1);Coordinate(C) = (0, 5);E: Curve;Expression(E) = (x^2 = 4*y);Locus(M) = E;Abs(LineSegmentOf(N, C)) = 2",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ],
+        "C": [
+          0.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 988,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0988.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l) = True;Intersection(l,G) = {A,B};B: Point;A: Point;P: Point;Coordinate(P) = (-5/3, 0);IsPerpendicular(LineSegmentOf(P, B), LineSegmentOf(A, B))",
+      "coords": {
+        "P": [
+          -1.6666666666666667,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 989,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0989.png",
+      "answer": "x^2+(y-2)^2=16",
+      "fact_expr": "G: Parabola;H: Circle;L: Line;P:Point;D:Point;Expression(G) = (x^2 = 8*y);Expression(L) = (y = 2);Intersection(G,L)={P,D};PointOnCurve(P,H);PointOnCurve(D,H);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 990,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0990.png",
+      "answer": "3/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F: Point;A:Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F;RightVertex(G)=A;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,F),xAxis);Abs(LineSegmentOf(P,F))=(1/4)*Abs(LineSegmentOf(A,F))",
+      "coords": {}
+    },
+    {
+      "index": 991,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0991.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);M: Point;MidPoint(LineSegmentOf(F1, P)) = M;Abs(LineSegmentOf(O, M)) = 1;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 992,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_0992.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/8 + y^2/m = 1);OverlappingLine(MajorAxis(G),yAxis);FocalLength(G) = 4",
+      "coords": {}
+    },
+    {
+      "index": 993,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_0993.png",
+      "answer": "{2,6}",
+      "fact_expr": "G: Parabola;p: Real;A: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (m, 2*sqrt(3));PointOnCurve(A, G);Distance(A, Focus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 994,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 995,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0995.png",
+      "answer": "(5/3,2*sqrt(3)/3)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Quadrant(A)=1;Abs(LineSegmentOf(F, A)) = 3*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 996,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_0996.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;F: Point;N: Point;M:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;l1:Line;l2:Line;Expression(l1)=(y=(b/a)*x);Expression(l2)=(y=-(b/a)*x);L:Line;PointOnCurve(F,L);IsPerpendicular(l1,L);FootPoint(l1,L)=M;Intersection(L,l2)=N;Abs(LineSegmentOf(O, F)) = Abs(LineSegmentOf(F, N));Asymptote(C)={l1,l2}",
+      "coords": {}
+    },
+    {
+      "index": 997,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 998,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 999,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_0999.png",
+      "answer": "1/2",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;B: Point;Expression(C) = (y = x^2/4);Coordinate(M) = (1, -1);PointOnCurve(Focus(C), G);Slope(G) = k;Intersection(G, C) = {A, B};DotProduct(VectorOf(A, M), VectorOf(B, M)) = 0;k:Number",
+      "coords": {
+        "M": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1000,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1000.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;M: Point;x1:Number;y1:Number;Expression(G) = (x^2 = 4*y);Coordinate(M) = (x1, y1);PointOnCurve(M, G);Distance(M, Focus(G)) = 3;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 1001,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1001.png",
+      "answer": "x=2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x)",
+      "coords": {}
+    },
+    {
+      "index": 1002,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1002.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/6 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1003,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1003.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;A: Point;B: Point;D: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Coordinate(D) = (m, 0);x1:Number;x2:Number;y1:Number;y2:Number;m:Number;PointOnCurve(A, C);PointOnCurve(B, C);Intersection(PerpendicularBisector(LineSegmentOf(A,B)), xAxis) = D;x1 + x2 = 2",
+      "coords": {}
+    },
+    {
+      "index": 1004,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1004.png",
+      "answer": "(x-2)^2+y^2=1",
+      "fact_expr": "G: Circle;A: Point;P: Point;O: Origin;B: Point;x1:Number;y1:Number;Expression(G) = (x^2 + y^2 = 4);Coordinate(A) = (4, 0);Coordinate(P) = (x1, y1);PointOnCurve(B, G);VectorOf(O, A) + VectorOf(O, B) = 2*VectorOf(O, P)",
+      "coords": {}
+    },
+    {
+      "index": 1005,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1005.png",
+      "answer": "-9",
+      "fact_expr": "G: Hyperbola;k: Real;Expression(G) = (x^2/4 + y^2/k = 1);Distance(OneOf(Focus(G)),Asymptote(G))=3",
+      "coords": {}
+    },
+    {
+      "index": 1006,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/hyperbola/problem_1006.png",
+      "answer": "pm*1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;m: Number;A: Point;O: Origin;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x = m);l1: Line;l2: Line;Asymptote(C) = {l1, l2} ;Intersection(G, l1) = A;Intersection(G, l2) = B;Area(TriangleOf(A, O, B)) = sqrt(2);Eccentricity(C) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1007,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1008,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1008.png",
+      "answer": "25",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/9 + x^2/a = 1);a: Number;FocalLength(C) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1009,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1009.png",
+      "answer": "x^2/6-y^2/2=1",
+      "fact_expr": "G: Hyperbola;C: Hyperbola;H: Point;Expression(G) = (x^2/3 - y^2 = 1);Coordinate(H) = (3, -1);PointOnCurve(H, C);Asymptote(G) = Asymptote(C)",
+      "coords": {
+        "H": [
+          3.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1010,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1011,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1011.png",
+      "answer": "18+2*sqrt(17)",
+      "fact_expr": "P: Point;Coordinate(P) = (0, 2);G: Ellipse;Expression(G) = (x^2/16 + y^2/8 = 1);A: Point;B: Point;x1:Number;y1:Number;x2:Number;y2:Number;PointOnCurve(A, G);PointOnCurve(B, G);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);lambda: Real;VectorOf(A, P) = lambda*VectorOf(P, B)",
+      "coords": {
+        "P": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1012,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1012.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;C: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(A) = (-3, 0);Coordinate(B) = (3, 0);PointOnCurve(C, G)",
+      "coords": {
+        "A": [
+          -3.0,
+          0.0
+        ],
+        "B": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1013,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1013.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;M: Point;PointOnCurve(M, G);Negation(Vertex(G) = M);O: Origin;VectorOf(O, M) = 2*VectorOf(O, N);N: Point;P: Point;H: Line;PointOnCurve(N,H);IsPerpendicular(LineOf(O,M),H);Intersection(H,xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 1014,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1014.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 1015,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1015.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1016,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1016.png",
+      "answer": "(0,sqrt(5)/5]",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;G: Circle;A: Point;B: Point;a > b;b > 0;l1:Line;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(C),l1);IsPerpendicular(l1,xAxis);Intersection(l1,C)={A,B};PointOnCurve(LeftFocus(C),l);PointOnCurve(UpperVertex(C),l);IsDiameter(LineSegmentOf(A,B),G);IsIntersect(l,G)",
+      "coords": {}
+    },
+    {
+      "index": 1017,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1017.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;P: Point;H: Point;F1: Point;F2:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,RightPart(C));L:Line;PointOnCurve(P,L);IsPerpendicular(L,OneOf(Asymptote(C)));FootPoint(L,OneOf(Asymptote(C)))=H;Min(Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, H))) = 4*a",
+      "coords": {}
+    },
+    {
+      "index": 1018,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1019,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1019.png",
+      "answer": "-2",
+      "fact_expr": "Gamma: Ellipse;Expression(Gamma) = (x^2/a^2 + y^2/b^2 = 1);a: Number;b: Number;a > b;b > 0;Eccentricity(Gamma) = sqrt(2)/2;A: Point;B: Point;C: Point;PointOnCurve(Vertex(TriangleOf(A, B, C)), Gamma) = True;MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = F;D: Point;E: Point;F: Point;k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(A, C))) = k3;Negation(k1 = 0);Negation(k2 = 0);Negation(k3 = 0);O: Origin;Slope(LineOf(O, D)) + Slope(LineOf(O, E)) + Slope(LineOf(O, F)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1020,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1021,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1021.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Line;A: Point;B: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, H);Intersection(H, RightPart(C)) = {A,B};IsPerpendicular(LineSegmentOf(A,F1),LineSegmentOf(A,B));4*Abs(LineSegmentOf(A,F1))=3*Abs(LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 1022,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1022.png",
+      "answer": "1/2",
+      "fact_expr": "M: Ellipse;b: Number;a: Number;c: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(M) = F1;RightFocus(M) = F2;PointOnCurve(P,M);Max(DotProduct(VectorOf(P, F1), VectorOf(P,F2))) = 3*c^2;c^2 = a^2-b^2",
+      "coords": {}
+    },
+    {
+      "index": 1023,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1023.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 16);A: Point;B: Point;P: Point;Coordinate(P) = (2, -1);PointOnCurve(P, LineOf(A,B));Intersection(LineOf(A,B),G)={A,B};Slope(LineOf(A,B)) = 1/2",
+      "coords": {
+        "P": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1024,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1024.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;O: Origin;B:Point;A:Point;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(P) = (x0,y0);PointOnCurve(P,G);WhenMin(Abs(LineSegmentOf(A,B)));x0:Number;y0:Number;l1:Line;TangentOfPoint(P,G)=l1;Expression(l1)=(x0*x/4+y0=1);Intersection(l2,yAxis)=A;Intersection(l1,yAxis)=B",
+      "coords": {}
+    },
+    {
+      "index": 1025,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1025.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;F: Point;P: Point;y1: Number;Expression(G) = (y^2 = 2*x);Coordinate(P) = (2, y1);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1026,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1026.png",
+      "answer": "y=pm*sqrt(6)*x",
+      "fact_expr": "F2: Point;F1: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);l: Line;Intersection(l, LeftPart(C)) = P;Intersection(l, RightPart(C)) = Q;Q: Point;P: Point;AngleOf(Q, P, F2) = ApplyUnit(60, degree);Abs(LineSegmentOf(P, Q)) = Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1027,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1027.png",
+      "answer": "x^2/(4*a^2)+y^2/(4*b^2)=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Origin;Q: Point;P: Point;F1: Point;F2: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};VectorOf(O, Q) = VectorOf(P, F1) + VectorOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1028,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1028.png",
+      "answer": "y^2=-12*x",
+      "fact_expr": "F: Circle;Expression(F) = (y^2 + (x + 3)^2 = 1);l: Line;Expression(l) = (x = 2);M: Circle;IsTangent(l, M);IsOutTangent(F, M);M1: Point;Center(M) = M1",
+      "coords": {}
+    },
+    {
+      "index": 1029,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1029.png",
+      "answer": "y=pm*(3/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1030,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1030.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;M: Point;P: Point;l1: Line;l2: Line;Expression(C) = (y^2 = 4*x);Expression(G) = (x=-2);Coordinate(M) = (0, 1);PointOnCurve(P,G);TangentOfPoint(P, C) = {l1, l2};TangentPoint(l1,C)=A;TangentPoint(l2,C)=B",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1031,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "y",
+        "x_coef": 5.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1031.png",
+      "answer": "sqrt(15)/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/5 + y^2/9 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(F1, F2));r: Number;Radius(InscribedCircle(TriangleOf(P, F1, F2))) = r",
+      "coords": {}
+    },
+    {
+      "index": 1032,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1032.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;PointOnCurve(Focus(G), xAxis);H: Line;Expression(H) = (2*x - y = 0);A: Point;B: Point;Intersection(H, G) = {A, B};P: Point;Coordinate(P) = (1, 2);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1033,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1033.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A: Point;LeftVertex(C) = A;O: Origin;G: Circle;IsDiameter(LineSegmentOf(O,F),G);Intersection(G,OneOf(Asymptote(C))) = P;P: Point;e: Number;Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, F));Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 1034,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1034.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(C))=F;OneOf(Endpoint(ImageinaryAxis(C)))=B;PointOnCurve(MidPoint(LineSegmentOf(F,B)), C)",
+      "coords": {}
+    },
+    {
+      "index": 1035,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1035.png",
+      "answer": "-8",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = a*y);a: Number;G: Hyperbola;Expression(G) = (-x^2 + y^2/3 = 1);Focus(H) = LowerFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1036,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1037,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1038,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1038.png",
+      "answer": "x^2/4-(3*y^2)/4=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*sqrt(3)/3*x);Distance(Vertex(G), Asymptote(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1039,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1040,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1040.png",
+      "answer": "pm*3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);A: Point;RightVertex(C) = A;PointOnCurve(A, l);l: Line;Intersection(l, Asymptote(C)) = {P, Q};P: Point;Q: Point;VectorOf(P, A) = 2*VectorOf(A, Q)",
+      "coords": {}
+    },
+    {
+      "index": 1041,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1041.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G);AngleOf(F1,P,F2)=2*pi/3;Abs(LineSegmentOf(F1, P)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1042,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1042.png",
+      "answer": "-1",
+      "fact_expr": "Gamma: Ellipse;Expression(Gamma) = (x^2/5 + y^2 = 1);F1: Point;F2: Point;LeftFocus(Gamma) = F1;RightFocus(Gamma) = F2;P: Point;PointOnCurve(P, Gamma);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1043,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1043.png",
+      "answer": "6 +sqrt(10)",
+      "fact_expr": "C: Ellipse;M: Point;N: Point;F1: Point;F2: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;UpperVertex(C)=N;Abs(VectorOf(M, N))^2 = 2*DotProduct(VectorOf(M, F1), VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1044,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1044.png",
+      "answer": "{25, -7}",
+      "fact_expr": "C: Curve;a: Number;Expression(C) = (y^2/9 + x^2/a = 1);FocalLength(C) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1045,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1045.png",
+      "answer": "[7,9)",
+      "fact_expr": "H: Curve;Expression(H) = (x = sqrt(a - y^2));a: Number;G: Ellipse;Expression(G) = (x^2/9 + y^2/7 = 1);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1046,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.708203932499369,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 45.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1046.png",
+      "answer": "(-3,4)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/45 + y^2/20 = 1);P:Point;PointOnCurve(P,G);F1:Point;F2:Point;Focus(G)={F1,F2};IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2));Quadrant(P)=2",
+      "coords": {}
+    },
+    {
+      "index": 1047,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1047.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G)=(x^2/m+y^2/9=1);m:Number;m>9;C:Hyperbola;Expression(C)=(x^2/n-y^2/9=1);n>0;n:Number;F1:Point;F2:Point;P:Point;Focus(G)={F1,F2};Focus(C)={F1,F2};OneOf(Intersection(G,C))=P",
+      "coords": {}
+    },
+    {
+      "index": 1048,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1048.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(F, G);Intersection(G, l) = A;OneOf(Intersection(G,C))=B;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1049,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1049.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "l: Line;C: Ellipse;a: Number;b: Number;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Expression(l)=(y = sqrt(3)*x);Intersection(l, C) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 1050,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1051,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1051.png",
+      "answer": "x^2/24+y^2/8=1",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;A: Point;B: Point;F: Point;M: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (4, 0);Coordinate(M) = (1, -1);RightFocus(E) = F;PointOnCurve(F, G);Intersection(G, E) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "F": [
+          4.0,
+          0.0
+        ],
+        "M": [
+          1.0,
+          -1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1052,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1052.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1053,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1053.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "C: Parabola;P: Point;O: Origin;m:Number;Coordinate(P) = (4, m);Vertex(C) = O;PointOnCurve(Focus(C), xAxis);PointOnCurve(P, C);Distance(P, Focus(C)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1054,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1055,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1055.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Focus(G) = F;Coordinate(F) = (0, 1);F: Point;P: Point;Coordinate(P) = (0, 2);l: Line;PointOnCurve(P,l) = True;Intersection(l, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 4*sqrt(6)",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ],
+        "P": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1056,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1056.png",
+      "answer": "[1,9)",
+      "fact_expr": "G: Ellipse;m: Real;H: Line;k: Number;Expression(G) = (x^2/9 + y^2/m = 1);Expression(H) = (y = k*x + 1);PointOnCurve(Focus(G),xAxis);IsIntersect(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 1057,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1057.png",
+      "answer": "14",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/100 + y^2/36 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;Distance(P, F1) = 6;OneOf(Focus(G)) = F2;Negation(F1= F2)",
+      "coords": {}
+    },
+    {
+      "index": 1058,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1058.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;c:Number;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G)={F1,F2};P: Point;PointOnCurve(P, G);Area(TriangleOf(P, F1, F2)) =(sqrt(2)/2)*b^2",
+      "coords": {}
+    },
+    {
+      "index": 1059,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1059.png",
+      "answer": "5/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(C) = F;B1: Point;B2: Point;ImageinaryAxis(C) = LineSegmentOf(B1, B2);M: Point;O: Origin;MidPoint(LineSegmentOf(O, B1)) = M;G: Line;PointOnCurve(F, G);PointOnCurve(M, G);A: Point;Intersection(G, C) = A;LineSegmentOf(F, M) = 2*LineSegmentOf(M, A)",
+      "coords": {}
+    },
+    {
+      "index": 1060,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1060.png",
+      "answer": "x^2-y^2/2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Slope(OneOf(Asymptote(G))) = sqrt(2);H: Parabola;Expression(H) = (y^2 = 4*(sqrt(3)*x));RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1061,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1062,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1063,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1063.png",
+      "answer": "(-3, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -12*x)",
+      "coords": {}
+    },
+    {
+      "index": 1064,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1064.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "H: Line;Expression(H) = (y = 1 - x);G: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Intersection(H, G) = {A, B};A: Point;B: Point;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B)) = True;O: Origin;e: Number;Eccentricity(G) = e;In(e, [1/2, sqrt(3)/2])",
+      "coords": {}
+    },
+    {
+      "index": 1065,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_1065.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;a>0;Expression(G) = (-y^2/16 + x^2/a^2 = 1);Coordinate(H) = (2, 0);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1066,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1066.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;H: Line;a: Real;O: Origin;A: Point;B: Point;F:Point;Expression(H) = (x = a);Expression(G) = (y^2 = 4*x);Intersection(H, G) = {A, B};Focus(G)=F;Orthocenter(TriangleOf(O,A,B))=F",
+      "coords": {}
+    },
+    {
+      "index": 1067,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1067.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 16*x);F: Point;Focus(C) = F;A: Point;Coordinate(A) = (-4, 0);P: Point;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          -4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1068,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1068.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (y = x^2/4);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1069,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1070,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1070.png",
+      "answer": "1",
+      "fact_expr": "A: Point;B: Point;C: Curve;Expression(C) = (y = x^2/4);PointOnCurve(A, C);PointOnCurve(B, C);XCoordinate(A) + XCoordinate(B) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1071,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1071.png",
+      "answer": "{1,13}",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/9 - y^2/7 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C) = True;P: Point;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 1072,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1072.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C)=(y^2 = 2*(p*x));p:Number;p>0;Focus(C) = F;PointOnCurve(F, l);Inclination(l) = ApplyUnit(60, degree);Intersection(l, C) = {A, B};Quadrant(A)=1;Quadrant(B)=4",
+      "coords": {}
+    },
+    {
+      "index": 1073,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1073.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1074,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1075,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1075.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F1,l) = True;Intersection(l,G) = {A,B};Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1076,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1076.png",
+      "answer": "12",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/36 + y^2/16 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 1077,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1077.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;F1: Point;A: Point;B: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(G, L1) = A;Intersection(G,L2) =B;VectorOf(F1, A) = VectorOf(A, B);DotProduct(VectorOf(F1,B),VectorOf(F2,B))=0",
+      "coords": {}
+    },
+    {
+      "index": 1078,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1079,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1079.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;F: Point;A: Point;P: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;Coordinate(A)=(6,3);PointOnCurve(P,G);Negation(PointOnCurve(P,LineOf(A,F)))",
+      "coords": {
+        "A": [
+          6.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1080,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1080.png",
+      "answer": "3",
+      "fact_expr": "H: Line;G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1081,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1081.png",
+      "answer": "8+2*sqrt(7)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Negation(P=Endpoint(MajorAxis(G)))",
+      "coords": {}
+    },
+    {
+      "index": 1082,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1082.png",
+      "answer": "y=1",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 1083,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1083.png",
+      "answer": "x^2/9-y^2/3=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H)=(x^2 + 4*y^2 = 16);Focus(H) = Focus(G);Expression(OneOf(Asymptote(G))) = (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1084,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1084.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F: Point;N: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;L:Line;L1:Line;L2:Line;PointOnCurve(F, L);IsPerpendicular(L,L1);FootPoint(L,L1)=M;Intersection(L,L2)=N;2*VectorOf(M, F) = VectorOf(F, N);OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 1085,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1085.png",
+      "answer": "3*x+2*y-4=0",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A: Point;B: Point;PointOnCurve(A,C) = True;PointOnCurve(B,C) = True;Negation(A=B);P: Point;Coordinate(P) = (1, 1/2);VectorOf(A, P) = VectorOf(P, B)",
+      "coords": {
+        "P": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 1086,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1086.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/24 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;PointOnCurve(A, RightPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 1087,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1087.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1088,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1088.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 1);L: Line;PointOnCurve(P, L) = True;G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);Intersection(L, G) = {M, N};M: Point;N: Point;MidPoint(LineSegmentOf(M, N)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1089,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1089.png",
+      "answer": "(3+sqrt(10))/4",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;F: Point;Q: Point;A: Point;B: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;RightFocus(C) = F;PointOnCurve(A,l);Intersection(l,OneOf(Asymptote(C)))=Q;OneOf(Intersection(LineOf(Q,F), C)) = B;DotProduct(VectorOf(A, Q), VectorOf(A, B)) = DotProduct(VectorOf(A, Q), VectorOf(F, B));VectorOf(B, Q) = 4*VectorOf(F, Q);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 1090,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5002657771110535,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 8.410525879298802e-06,
+        "converged": true,
+        "iterations": 102
+      },
+      "output_path": "results/test/parabola/problem_1090.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;M: Point;Coordinate(M) = (2, 2);PointOnCurve(M, G)",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1091,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1091.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;H: Line;O: Origin;M: Point;a: Number;Negation(a=0);Coordinate(M) = (a, 0);PointOnCurve(M, H);A: Point;B: Point;Intersection(H, G) = {A, B};k1: Number;k2: Number;Slope(LineSegmentOf(O, A)) = k1;Slope(LineSegmentOf(O, B)) = k2;k1*k2 = -2*p",
+      "coords": {}
+    },
+    {
+      "index": 1092,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1092.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4);M: Point;PointOnCurve(M, G);Distance(M, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1093,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1094,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1094.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Ellipse;G: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1095,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1095.png",
+      "answer": "7/2",
+      "fact_expr": "F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 2*x);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1096,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1096.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;F1: Point;P: Point;F2: Point;Expression(C) = (x^2 - y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1097,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0599746704101562,
+        "b": 2.576634645462036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 9.342352313979063e-07,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/test/hyperbola/problem_1097.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/4 + x^2/m = 1);m: Number;m>0;F1: Point;F2: Point;Coordinate(F1) = (-4, 0);Coordinate(F2) = (4, 0);Focus(C) = {F1, F2};M: Point;PointOnCurve(M, C);AngleOf(F1, M, F2) = ApplyUnit(60, degree)",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ],
+        "F2": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1098,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1098.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;B: Point;A: Point;D: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F,LineOf(A,B));PointOnCurve(F,LineOf(D,E));Intersection(LineOf(A,B),C)={A,B};Intersection(LineOf(D,E),C)={D,E};Slope(LineOf(A,B))=k1;Slope(LineOf(D,E))=k2;k1:Number;k2:Number;k1^2+k2^2=4",
+      "coords": {}
+    },
+    {
+      "index": 1099,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 40.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1099.png",
+      "answer": "y=-40",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 160*y)",
+      "coords": {}
+    },
+    {
+      "index": 1100,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1101,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1102,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1102.png",
+      "answer": "(6,8)",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;F: Point;B: Point;k:Number;Negation(k=0);Expression(C) = (x^2/4 + y^2 = 1);LeftFocus(C) = F;Expression(l)=(y = k*x) ;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1103,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1103.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (2*x + y - 4 = 0);Intersection(G, H) = {A, B};Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1104,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1105,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1105.png",
+      "answer": "(1,sqrt(3))",
+      "fact_expr": "A1: Point;A2: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > 0;b > 0;LeftVertex(C) = A1;RightVertex(C) = A2;M: Point;PointOnCurve(M, C);k1: Number;k2: Number;Slope(LineOf(M, A1)) = k1;Slope(LineOf(M, A2)) = k2;k1 * k2 < 2",
+      "coords": {}
+    },
+    {
+      "index": 1106,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1106.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;e: Number;Eccentricity(G) = e;Expression(Asymptote(G)) = (y = pm*x*sqrt(6))",
+      "coords": {}
+    },
+    {
+      "index": 1107,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1108,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1108.png",
+      "answer": "40",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2 - 16*y^2 = 16);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, LeftPart(G)) = {A, B};Abs(LineSegmentOf(A, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1109,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1109.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Parabola;Expression(H) = (y^2 = 8*x);OneOf(Focus(G))=Focus(H);Distance(Focus(G),Asymptote(G))=1",
+      "coords": {}
+    },
+    {
+      "index": 1110,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1111,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1112,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1112.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 16*x);PointOnCurve(M, G);XCoordinate(M) = 6;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1113,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1113.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/15 = 1);P: Point;PointOnCurve(P, RightPart(G));H: Circle;Expression(H) = (y^2 + (x + 4)^2 = 4);K: Circle;Expression(K) = (y^2 + (x - 4)^2 = 1);Z1: Line;Z2: Line;TangentOfPoint(P, H) = Z1;TangentOfPoint(P, K) = Z2;M: Point;TangentPoint(Z1, H) = M;N: Point;TangentPoint(Z2, K) = N",
+      "coords": {}
+    },
+    {
+      "index": 1114,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1114.png",
+      "answer": "sqrt(7)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F2: Point;B: Point;O: Origin;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);Intersection(l, C) = {A, B};IsPerpendicular(LineSegmentOf(B, F1),LineSegmentOf(O, A));Abs(LineSegmentOf(A, F2)) = Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1115.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);Slope(G) = 1;Intersection(G, C) = {P, Q};P: Point;Q: Point;Projection(P, Directrix(C)) = M;Projection(Q, Directrix(C)) = N;M: Point;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 1116,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1116.png",
+      "answer": "27",
+      "fact_expr": "G: Hyperbola;m: Real;Negation(m=0);Expression(G) = (x^2/9 - y^2/m = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1117,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1117.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Parabola;M: Point;x1: Number;y1: Number;Expression(G) = (y^2 = 6*x);Coordinate(M) = (x1, y1);PointOnCurve(M, G);Distance(M, Focus(G)) = 9/2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1118,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1119,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1120,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1120.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1121,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1121.png",
+      "answer": "1/2",
+      "fact_expr": "l: Line;G: Ellipse;a: Number;b: Number;A: Point;F: Point;P: Point;O: Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;RightFocus(G) = F;PointOnCurve(F, l);IsPerpendicular(xAxis, l);PointOnCurve(P, l);AngleOf(A, P, O) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1122,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.5,
+        "b": 0.8660254037844386,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1122.png",
+      "answer": "",
+      "fact_expr": "l: Line;G: Hyperbola;H: Ellipse;Expression(G) = (12*x^2 - 4*y^2 = 3);Expression(l) = (y = x + 3);PointOnCurve(P,l);PointOnCurve(P,H);Focus(G)=Focus(H);WhenMin(MajorAxis(H));P:Point",
+      "coords": {}
+    },
+    {
+      "index": 1123,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1123.png",
+      "answer": "3*x+pm*2*y=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1124,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1124.png",
+      "answer": "pi",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1125,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1125.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;l1: Line;l2: Line;P: Point;Expression(G) = (y = x^2/4);Expression(l1)=(4*x - 3*y - 12 = 0);Expression(l2)=(y+1=0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1127,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1127.png",
+      "answer": "[sqrt(2)/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;e:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree);Eccentricity(G)=e",
+      "coords": {}
+    },
+    {
+      "index": 1128,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1129,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1129.png",
+      "answer": "y=-a/4",
+      "fact_expr": "G: Parabola;a: Number;Expression(G) = (x^2 = a*y);Negation(a=0)",
+      "coords": {}
+    },
+    {
+      "index": 1130,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1130.png",
+      "answer": "(1, 1)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y = x^2);Expression(H) = (2*x - y = 4);Z: Point;PointOnCurve(Z, G);WhenMin(Distance(Z, H))",
+      "coords": {}
+    },
+    {
+      "index": 1131,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1132,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1132.png",
+      "answer": "[-sqrt(3)/3,sqrt(3)/3]",
+      "fact_expr": "G: Hyperbola;H: Line;F: Point;Expression(G) = (x^2/12 - y^2/4 = 1);RightFocus(G) = F;PointOnCurve(F,H);NumIntersection(H,RightPart(G))=1",
+      "coords": {}
+    },
+    {
+      "index": 1133,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1133.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);m: Real;PointOnCurve(Focus(G), yAxis);Eccentricity(G) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 1134,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1134.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1135,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1135.png",
+      "answer": "sqrt(10)/4",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(E) = F;l: Line;O: Origin;PointOnCurve(O, l);P: Point;Q: Point;Intersection(l, E) = {P, Q};Abs(LineSegmentOf(P, F)) = 3*Abs(LineSegmentOf(Q, F));AngleOf(P, F, Q) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1136,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1136.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(Focus(G),Asymptote(G)) = a",
+      "coords": {}
+    },
+    {
+      "index": 1137,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1137.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1138,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1138.png",
+      "answer": "(2,0)",
+      "fact_expr": "C: Ellipse;P: Point;F: Point;Expression(C) = (x^2/4 + y^2/3 = 1);RightFocus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1139,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1139.png",
+      "answer": "[1,3]",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1140,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1140.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;p: Number;O: Origin;M: Point;F: Point;P: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(P, G);PointOnCurve(M, LineSegmentOf(P,F));Abs(LineSegmentOf(P, M)) = 2*Abs(LineSegmentOf(M, F))",
+      "coords": {}
+    },
+    {
+      "index": 1141,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1142,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1142.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Ellipse;l: Line;A: Point;B: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(H), l);IsPerpendicular(l,xAxis);Intersection(l, H) = {A, B};LineSegmentOf(A, B) = a/2",
+      "coords": {}
+    },
+    {
+      "index": 1143,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1143.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (x^2/25 + y^2/m^2 = 1);FocalLength(G) = 6;m>0;m<5",
+      "coords": {}
+    },
+    {
+      "index": 1144,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1144.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;n: Number;H: Ellipse;m: Number;F1: Point;P: Point;F2: Point;n>0;Expression(G) = (-y^2 + x^2/n = 1);m>1;Expression(H) = (y^2 + x^2/m = 1);Focus(G) = {F1,F2};Focus(H) = {F1,F2};OneOf(Intersection(G,H))=P",
+      "coords": {}
+    },
+    {
+      "index": 1145,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1145.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;H: Ellipse;m: Number;n: Number;P: Point;F1: Point;F2: Point;m>0;n>0;Expression(H) = (y^2/9 + x^2/m^2 = 1);Expression(G) = (-y^2/4 + x^2/n^2 = 1);Focus(H) = {F1, F2};Focus(G) = {F1, F2};OneOf(Intersection(H,G))=P",
+      "coords": {}
+    },
+    {
+      "index": 1146,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1146.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;A: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A,LeftPart(G));IsPerpendicular(LineSegmentOf(A,F1),LineSegmentOf(A,F2))",
+      "coords": {}
+    },
+    {
+      "index": 1147,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1147.png",
+      "answer": "7*x+8*y-22=0",
+      "fact_expr": "l: Line;G: Ellipse;a: Number;b: Number;A: Point;B: Point;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (2, 1);FocalLength(G)=6;MinorAxis(G)=(sqrt(7)/4)*MajorAxis(G);Intersection(l,G)={A,B};IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1148,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1148.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G) = True;L: Line;PointOnCurve(P, L) = True;IsPerpendicular(L, Directrix(G)) = True;FootPoint(L, Directrix(G)) = M;M: Point;Abs(LineSegmentOf(P, M)) = 5;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1149,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 9.0,
+        "b": 5.196152422706632,
+        "major_axis": "x",
+        "x_coef": 81.0,
+        "y_coef": 27.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1149.png",
+      "answer": "36",
+      "fact_expr": "G: Ellipse;H:Line;P: Point;Q: Point;F2: Point;F1: Point;Expression(G) = (x^2/81 + y^2/27 = 1);Focus(G) = {F1, F2};PointOnCurve(F1,H);Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 1150,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1150.png",
+      "answer": "x^2/16+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(3)/2;Length(MinorAxis(G))=4",
+      "coords": {}
+    },
+    {
+      "index": 1151,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1151.png",
+      "answer": "(5,pm*2*sqrt(5))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P:Point;Distance(P,Focus(G))=6;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 1152,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1152.png",
+      "answer": "(2*sqrt(3))/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(C) = F;A: Point;Coordinate(A) = (0, 2*b);Inclination(LineOf(A, F)) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1153,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1153.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Parabola;A: Point;P: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (0, 2);PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1154,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1155,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1155.png",
+      "answer": "x^2/20-y^2/5=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 1);FocalLength(C) = 10;PointOnCurve(P, Asymptote(C))",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1156,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1157,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1157.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;m>0;Expression(G) = (x^2/4 - y^2/m^2 = 1);Expression(H) = (y^2 = 16*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1158,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1159,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1160,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1160.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H) = True;Intersection(H, G) = {A, B};A: Point;B: Point;l: Line;Directrix(G) = l;Intersection(H, l) = C;C: Point;Abs(LineSegmentOf(A, F)) > Abs(LineSegmentOf(B, F));Abs(LineSegmentOf(B, C)) = 2*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 1161,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1161.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,RightPart(G));DotProduct((VectorOf(O, F2) + VectorOf(O, P)),VectorOf(F2, P)) = 0;Abs(VectorOf(P, F1)) = sqrt(3)*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1162,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1162.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;a: Number;O: Origin;F: Point;P: Point;Expression(C) = (y^2/3 + x^2/a^2 = 1);RightFocus(C)=F;PointOnCurve(P,C);Abs(LineSegmentOf(O,F))=Abs(LineSegmentOf(F,P))",
+      "coords": {}
+    },
+    {
+      "index": 1163,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1163.png",
+      "answer": "28/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Expression(l) = (y = sqrt(3)*x + b);Focus(C) = F;Distance(F, l) = sqrt(3);Intersection(l, C) = {A, B};b:Number",
+      "coords": {}
+    },
+    {
+      "index": 1164,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1164.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 8*y);F: Point;Focus(C) = F;O: Origin;P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F), LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 1165,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1165.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1166,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1166.png",
+      "answer": "32",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/8 = 1);F: Point;RightFocus(C) = F;P: Point;PointOnCurve(P, LeftPart(C));A: Point;Coordinate(A) = (0, 6*sqrt(6));PointOnCurve(A, yAxis)",
+      "coords": {
+        "A": [
+          0.0,
+          14.696938456699067
+        ]
+      }
+    },
+    {
+      "index": 1167,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1167.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);P: Point;PointOnCurve(P, RightPart(G));F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;I: Point;Incenter(TriangleOf(P,F1,F2)) = I;lambda: Real;Area(TriangleOf(P,F1,F2)) = 2*Area(TriangleOf(I,P,F2)) + (1+1/lambda)*Area(TriangleOf(I,F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 1168,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/test/hyperbola/problem_1168.png",
+      "answer": "{sqrt(6)/2,sqrt(3)}",
+      "fact_expr": "G: Hyperbola;Expression(OneOf(Asymptote(G))) = (y=sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1169,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1169.png",
+      "answer": "3*sqrt(6)/8",
+      "fact_expr": "l: Line;PointOnCurve(Focus(G), l) = True;Intersection(l,G) = {P,Q};G: Ellipse;Expression(G) = (x^2 + y^2/2 = 1);P: Point;Q: Point;M: Point;Intersection(PerpendicularBisector(LineSegmentOf(P,Q)),xAxis) = M",
+      "coords": {}
+    },
+    {
+      "index": 1170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1170.png",
+      "answer": "y=pm*(1/2)*x\n12",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 - y^2/4 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1171,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1172,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1172.png",
+      "answer": "[sqrt(2)/2,1]",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;Intersection(Directrix(G),yAxis) = M;M: Point;PointOnCurve(N,G) = True;N: Point;lambda: Number;Abs(LineSegmentOf(N, F)) = lambda*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 1173,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1173.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;a: Number;M: Point;A: Point;B: Point;N: Point;F1: Point;F2: Point;a>1;Expression(G) = (y^2 + x^2/a^2 = 1);RightVertex(G) = A;LowerVertex(G) = B;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, G);PointOnCurve(N, G);Max(Area(TriangleOf(M, A, B))) = 1 + sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1174,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1174.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C2: Hyperbola;C1: Parabola;A: Point;p: Number;a: Number;b: Number;a > 0;b > 0;p > 0;Expression(C1) = (y^2 = 2*p*x);Expression(C2) = (x^2/a^2 - y^2/b^2 = 1);Intersection(C1, OneOf(Asymptote(C2))) = A;Distance(A, Directrix(C1)) = p",
+      "coords": {}
+    },
+    {
+      "index": 1175,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1175.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;a > 0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (3*x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1176,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1176.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);M: Point;Coordinate(M) = (-1, 2);PointOnCurve(Focus(C), G);Slope(G) = k;k: Number;G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1177,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1178,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1178.png",
+      "answer": "[2*a, (4*sqrt(3)*a)/3]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;e: Number;Eccentricity(C) = e;e = 2;G: Line;PointOnCurve(F2, G);A: Point;B: Point;Intersection(G, RightPart(C)) = {A, B};Quadrant(A) = 1;M: Point;N: Point;Incenter(TriangleOf(A, F1, F2)) = M;Incenter(TriangleOf(B, F1, F2)) = N;a>0;b>0",
+      "coords": {}
+    },
+    {
+      "index": 1179,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.24967060983181,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 6.555423624376999e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/test/parabola/problem_1179.png",
+      "answer": "1/2",
+      "fact_expr": "C: Parabola;p: Number;G: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(G) = (1, 1);PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1180,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1180.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;P: Point;Q: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, LeftPart(C)) = {P, Q};IsPerpendicular(VectorOf(P,F2),VectorOf(P,Q));Perimeter(TriangleOf(P,Q,F2))=12*a",
+      "coords": {}
+    },
+    {
+      "index": 1181,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1182,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_1182.png",
+      "answer": "x^2/36-y^2/64=1",
+      "fact_expr": "G: Hyperbola;F: Point;O:Origin;Center(G)=O;Coordinate(F) = (10, 0);OneOf(Focus(G))=F;Expression(Asymptote(G)) = (y = pm*(4/3)*x)",
+      "coords": {
+        "F": [
+          10.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1183,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1183.png",
+      "answer": "2",
+      "fact_expr": "Q: Point;Coordinate(Q) = (-2*sqrt(2), 0);G: Parabola;Expression(G) = (x^2 = -4*y);P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;PointOnCurve(P, G) = True",
+      "coords": {
+        "Q": [
+          -2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1184,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1184.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Parabola;Expression(G) = (x^2 = 4*y);Distance(Focus(G), Asymptote(C)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 1185,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1185.png",
+      "answer": "2*sqrt(3)+3*sqrt(2)",
+      "fact_expr": "P: Point;m: Number;Coordinate(P) = (m, 2);C: Hyperbola;Expression(C) = (x^2/2 - y^2/2 = 1);PointOnCurve(P, RightPart(C));F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Q: Point;Intersection(LineSegmentOf(P, F1), LeftPart(C)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 1186,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1186.png",
+      "answer": "sqrt(10)/ 2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;PointOnCurve(A, G) = True;AngleOf(F1, A, F2) = ApplyUnit(90, degree);Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1187.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Line;P: Point;Q: Point;F2: Point;A: Point;B: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1,H);IsPerpendicular(xAxis, H);Intersection(H, LeftPart(G)) = {A, B};Intersection(LineSegmentOf(A, F2), yAxis) = P ;Intersection(LineSegmentOf(B, F2), yAxis) = Q;Perimeter(TriangleOf(P, Q, F2)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 1188,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1188.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(Asymptote(G)) = ((2*y)+(3*(pm*x)) = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1189,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.928203230275509,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 48.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1189.png",
+      "answer": "48",
+      "fact_expr": "C: Ellipse;Q: Point;F1: Point;F2: Point;Expression(C) = (x^2/100 + y^2/48 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(Q, C);Abs(LineSegmentOf(Q, F1)) = (2/3)*Abs(LineSegmentOf(Q, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1190,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1190.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p > 0;F: Point;Focus(C) = F;Distance(F, Directrix(C)) = 4;PointOnCurve(F, l) = True;PointOnCurve(R, l) = True;R: Point;Coordinate(R) = (m, 0);m: Number;l: Line;Intersection(C, l) = {P, Q};P: Point;Q: Point;VectorOf(R, P) = VectorOf(P, F)",
+      "coords": {}
+    },
+    {
+      "index": 1191,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1192,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1192.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {A,B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1193,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_1193.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 1194,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1194.png",
+      "answer": "{sqrt(7)/2, sqrt(21)/3}",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(H) = 1/2;b: Number;a: Number;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1195,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1195.png",
+      "answer": "3+2*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);Focus(G) = F;F: Point;PointOnCurve(F,H) = True;H: Line;Intersection(H,G) = {A,B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1196,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1197,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1198,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1198.png",
+      "answer": "a/2-p/2",
+      "fact_expr": "G: Parabola;p: Number;a:Number;A: Point;B: Point;M: Point;p>0;a>=2*p;Expression(G) = (y^2 = 2*(p*x));IsChordOf(LineSegmentOf(A,B),G);Length(LineSegmentOf(A,B))=a;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1199,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1199.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;A: Point;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (-2, 0);PointOnCurve(A, Directrix(C))",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1200,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1200.png",
+      "answer": "2*sqrt(15)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 2);k: Number;G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1201,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1201.png",
+      "answer": "x=8/3",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (y^2 = -12*x);LeftFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1202,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1202.png",
+      "answer": "{sqrt(6),sqrt(2)}",
+      "fact_expr": "l: Line;C: Circle;A: Point;O: Origin;B: Point;b: Number;Expression(C) = (x^2 + y^2 = 4);Slope(l)=1;b>0;Intercept(l,yAxis)=b;Intersection(l, C) = {A, B};Area(TriangleOf(A, O, B)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_1203.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(F1, P), LineSegmentOf(F2, P));Area(TriangleOf(P, F1, F2)) = 8;Eccentricity(C)=sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1204,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1204.png",
+      "answer": "(1,(2/3)*sqrt(3))",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(30, degree);NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1205,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1205.png",
+      "answer": "4",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = 12*x);PointOnCurve(P, G) = True;Q: Point;H: Circle;Expression(H) = (x^2 + (y - 4)^2 = 1);PointOnCurve(Q, H) = True;I: Line;Expression(I) = (x = -3)",
+      "coords": {}
+    },
+    {
+      "index": 1206,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1207,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1207.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Focus(G), LineSegmentOf(A, B));Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1208,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1209,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1210,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1210.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (2*sqrt(2), 2);PointOnCurve(A,G)",
+      "coords": {
+        "A": [
+          2.8284271247461903,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1211,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1211.png",
+      "answer": "",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*y);F: Point;Focus(C) = F;l: Line;Directrix(C) = l",
+      "coords": {}
+    },
+    {
+      "index": 1212,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1213,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1213.png",
+      "answer": "(y^2 = 80 - 20*x)&(x <= 4)",
+      "fact_expr": "G: Circle;H: Line;Z: Circle;Expression(G) = (2*x + x^2 + y^2 - 15 = 0);Expression(H) = (x = 5);IsTangent(Z, H);IsOutTangent(Z, G)",
+      "coords": {}
+    },
+    {
+      "index": 1214,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1214.png",
+      "answer": "x^2/4-y^2/3=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Ellipse;Expression(H) = (x^2/16 + y^2/9 = 1);Focus(G) = Focus(H);Eccentricity(G) = Eccentricity(H)*2",
+      "coords": {}
+    },
+    {
+      "index": 1215,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1216,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1216.png",
+      "answer": "2*x+y-17=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P: Point;Expression(G) = (x^2 + 4*y^2 = 4);Coordinate(P) = (8, 1);MidPoint(H)=P;IsChordOf(H,G)",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1217,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1217.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1218,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1218.png",
+      "answer": "-5",
+      "fact_expr": "P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;G: Curve;PointOnCurve(P, G);Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1219,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1220,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1220.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(90, degree);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1221,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1221.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, sqrt(15));PointOnCurve(P, G);d1:Number;d2:Number;Distance(P, yAxis) = d1;Distance(P, A) = d2",
+      "coords": {
+        "A": [
+          2.0,
+          3.872983346207417
+        ]
+      }
+    },
+    {
+      "index": 1222,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1222.png",
+      "answer": "25/3, 3",
+      "fact_expr": "G: Ellipse;m: Number;m>0;e: Number;Expression(G) = (x^2/5 + y^2/m = 1);Eccentricity(G) = e;e = sqrt(10)/5",
+      "coords": {}
+    },
+    {
+      "index": 1223,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.535473169108841,
+        "b": 3.535473169108841,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.3822798825688845e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/test/hyperbola/problem_1223.png",
+      "answer": "(x^2/9-y^2/16=1)&(x>0)",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-5, 0);Coordinate(F2) = (5, 0);PointOnCurve(P,H);Distance(P,F1)-Distance(P,F2)=6;P:Point",
+      "coords": {
+        "F1": [
+          -5.0,
+          0.0
+        ],
+        "F2": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1224,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1224.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;O: Origin;Center(C) = O;C: Ellipse;OneOf(Focus(C)) = F;Q: Point;OneOf(Focus(C)) = Q;Negation(F = Q);Eccentricity(C) = sqrt(2)/2;P: Point;PointOnCurve(P, C) = True;AngleOf(F, P, Q) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1225,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1225.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G) ;AngleOf(F1, P, F2) = pi/3;R:Number;r:Number;Radius(CircumCircle(TriangleOf(F1,P,F2)))=R;Radius(InscribedCircle(TriangleOf(F1,P,F2)))=r;R=4*r",
+      "coords": {}
+    },
+    {
+      "index": 1226,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1226.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;l: Line;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F,l);Inclination(l)=ApplyUnit(30,degree);Intersection(l, G) = {A, B};Length(LineSegmentOf(A,B))=8",
+      "coords": {}
+    },
+    {
+      "index": 1227,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1227.png",
+      "answer": "6",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l);Intersection(l,G)={A,B};XCoordinate(MidPoint(LineSegmentOf(A,B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1228,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1228.png",
+      "answer": "(4,2)",
+      "fact_expr": "A: Point;B: Point;G: Parabola;H: Line;Expression(G) = (y^2 = 4*x);Expression(H) = (x - y = 2);Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 1229,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1229.png",
+      "answer": "pm*sqrt(7)",
+      "fact_expr": "C: Ellipse;l: Line;m: Real;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Expression(l) = (y = x + m);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, l);Min(Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1230,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1230.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Line;Expression(H) = (2*x - y + 1 = 0);IsParallel(OneOf(Asymptote(G)), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 1231,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1231.png",
+      "answer": "8*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;H: Line;t: Number;F: Point;M: Point;N: Point;Expression(G) = (x^2/5 + y^2/4 = 1);Expression(H) = (x = t);LeftFocus(G)=F;Intersection(H, G) = {M, N};WhenMax(Perimeter(TriangleOf(F,M,N)))",
+      "coords": {}
+    },
+    {
+      "index": 1232,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1232.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1233,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1233.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);Focus(G) = {F1, F2};F1: Point;F2: Point;A: Point;PointOnCurve(A, G)",
+      "coords": {}
+    },
+    {
+      "index": 1234,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1234.png",
+      "answer": "(sqrt(5),+oo)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 2*x);IsIntersect(G, H)",
+      "coords": {}
+    },
+    {
+      "index": 1235,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1236,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1236.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1237,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1237.png",
+      "answer": "5*sqrt(2)+5",
+      "fact_expr": "G: Hyperbola;H: Circle;M: Point;F1: Point;F2:Point;A: Point;Expression(H) = (x^2 + (y - 5)^2 = 1);Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(A, H);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(M, RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 1238,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1238.png",
+      "answer": "25/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x);F: Point;Focus(G)=F;M: Point;PointOnCurve(M,G);L:Line;PointOnCurve(M,L);IsPerpendicular(Directrix(G),L);N: Point;FootPoint(Directrix(G),L)=N;Abs(LineSegmentOf(N, F)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1239,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1239.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A1: Point;F: Point;B1: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Projection(A,Directrix(G))=A1;Projection(B,Directrix(G))=B1",
+      "coords": {}
+    },
+    {
+      "index": 1240,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1240.png",
+      "answer": "{1,16}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);Eccentricity(G) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 1241,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1241.png",
+      "answer": "(0,4)",
+      "fact_expr": "l: Line;C: Ellipse;O: Origin;M: Point;N: Point;Q: Point;lambda:Real;Expression(C) = (x^2/8 + y^2/4 = 1);Expression(l) = (y = 2*m + x/m);m:Number;Negation(m=0);Intersection(l, C) = {M, N};PointOnCurve(Q, C);VectorOf(O, M) + VectorOf(O, N) = lambda*VectorOf(O, Q);Negation(lambda=0)",
+      "coords": {}
+    },
+    {
+      "index": 1242,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1242.png",
+      "answer": "pm*4/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 1243,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1243.png",
+      "answer": "-4",
+      "fact_expr": "G: Hyperbola;m: Real;F1: Point;Expression(G) = (y^2/12 + x^2/m = 1);Coordinate(F1) = (0, 4);OneOf(Focus(G)) = F1",
+      "coords": {
+        "F1": [
+          0.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1244,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1244.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, LeftPart(G));Abs(LineSegmentOf(M, F1)) = 2*Abs(LineSegmentOf(F1, F2));Cos(AngleOf(M, F1, F2)) = -5/16;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1245,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1245.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Ellipse;l: Line;M: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(M) = (4, 2);MidPoint(InterceptChord(l, G)) = M",
+      "coords": {
+        "M": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1246,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1246.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "H: Line;Expression(H) = (x - 2*y + 3 = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Intersection(H, G) = {A, B};A: Point;B: Point;P: Point;Coordinate(P) = (-1, 1);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1247,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1247.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;P: Point;M: Point;F: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);PointOnCurve(P,LineSegmentOf(P,M));IsPerpendicular(LineSegmentOf(P,M),l);FootPoint(LineSegmentOf(P,M),l)=M;Abs(LineSegmentOf(M, P)) = Abs(LineSegmentOf(M, F));Area(TriangleOf(P, M, F)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1248,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1248.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;A: Point;PointOnCurve(A, C) = True;PointOnCurve(A, Z) = True;l: Line;Directrix(C) = l;IsPerpendicular(Z, l) = True;Z: Line;FootPoint(Z, l) = B;B: Point;Intersection(LineSegmentOf(F, B), xAxis) = D;D: Point;Abs(LineSegmentOf(A, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1249,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1249.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Inclination(OneOf(Asymptote(C))) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1250,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1250.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;M: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = E;PointOnCurve(F, G);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = M;Abs(LineSegmentOf(M, E)) = sqrt(11)",
+      "coords": {}
+    },
+    {
+      "index": 1251,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1251.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;F1: Point;P: Point;F2: Point;O: Origin;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Tan(AngleOf(F1, P, F2)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1252,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1252.png",
+      "answer": "9",
+      "fact_expr": "C: Ellipse;M: Point;F1: Point;F2: Point;Expression(C) = (x^2/9 + y^2/4 = 1);Focus(C) = {F1, F2};PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 1253,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1253.png",
+      "answer": "x^2+2*y^2=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/2 = 1);P: Point;L: Line;PointOnCurve(P,G);PointOnCurve(P, L);IsPerpendicular(L, xAxis);Q: Point;FootPoint(L, xAxis) = Q;M: Point;MidPoint(LineSegmentOf(P, Q)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1254,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1254.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Number;F: Point;Expression(G) = (-x^2/9 + y^2/m = 1);Coordinate(F) = (0, 5);OneOf(Focus(G)) = F",
+      "coords": {
+        "F": [
+          0.0,
+          5.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1255,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1255.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;H: Line;k: Number;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (y = k*x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 1256,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1257,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1257.png",
+      "answer": "x=5*p/2",
+      "fact_expr": "G: Parabola;p: Number;B: Point;A: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*p*x);PointOnCurve(A,G);PointOnCurve(B,G);Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, B));Orthocenter(TriangleOf(A,O,B))=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1258,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1258.png",
+      "answer": "(2,pm*2*sqrt(2))",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1259,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1259.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, F));G: Circle;IsDiameter(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 1260,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1260.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1261,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1261.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b + x^2/a = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);AngleOf(P, F1, F2) = pi/6;AngleOf(P, F2, F1) = pi/3;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1262,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1262.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-a*y + b*x = 0);Eccentricity(G) = 2;RightVertex(G) = A;RightFocus(G) = F;d1: Number;d2: Number;Distance(A, H) = d1;Distance(F, H) = d2",
+      "coords": {}
+    },
+    {
+      "index": 1263,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1263.png",
+      "answer": "125/16",
+      "fact_expr": "k: Number;Slope(l) = k;k = 3/4;l: Line;G: Parabola;Expression(G) = (x^2 = 4*y);PointOnCurve(Focus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};M: Point;Intersection(TangentOfPoint(A, G), TangentOfPoint(B, G)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1264,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1264.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Point;XCoordinate(H) = 6;PointOnCurve(H, G);Distance(H, Focus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1265,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1265.png",
+      "answer": "y=pm*(sqrt(5)/2)*x",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/11 + y^2/2 = 1);C: Hyperbola;Expression(C) = (-y^2/5 + x^2/a^2 = 1);a: Number;a>0;Focus(E) = Focus(C)",
+      "coords": {}
+    },
+    {
+      "index": 1266,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1266.png",
+      "answer": "",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 + y^2/m = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1267,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1267.png",
+      "answer": "(0, -1/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -2*y)",
+      "coords": {}
+    },
+    {
+      "index": 1268,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1268.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;k: Real;Expression(G) = (-y^2/4 + x^2/k = 1);Coordinate(OneOf(Focus(G)))=(sqrt(6),0)",
+      "coords": {}
+    },
+    {
+      "index": 1269,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1270,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1270.png",
+      "answer": "pm*4",
+      "fact_expr": "G: Parabola;a: Number;H: Ellipse;Expression(G) = (y^2 = a*x);Expression(H) = (x^2/4 + y^2/3 = 1);OneOf(Focus(H)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1271,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1271.png",
+      "answer": "2",
+      "fact_expr": "l: Line;Slope(l) = 1;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;B: Point;D: Point;Intersection(l, C) = {B, D};M: Point;Coordinate(M)=(1,3);MidPoint(LineSegmentOf(B, D)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1272,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1272.png",
+      "answer": "1/3",
+      "fact_expr": "Gamma: Parabola;l: Line;O: Origin;F: Point;A: Point;B: Point;Expression(Gamma) = (y^2 = 4*x);Expression(l) = (sqrt(3)*x - y - sqrt(3) = 0);Intersection(l,Gamma)={A,B};Intersection(l,xAxis)=F;lambda:Number;mu:Number;lambda<=mu;VectorOf(O, F) = lambda*VectorOf(O, A) + mu*VectorOf(O, B)",
+      "coords": {}
+    },
+    {
+      "index": 1273,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1274,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1274.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;G: Circle;a:Number;b: Number;H: Line;P: Point;F1: Point;F2: Point;A: Point;Q: Point;Expression(C)=(y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = b^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, H);TangentPoint(H,G)=A;Intersection(H,C) = {P,Q};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 1275,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1275.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;A: Point;PointOnCurve(A, C);Abs(LineSegmentOf(A, F)) = 5;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1276,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1276.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;l1: Line;l2:Line;A: Point;F: Point;B: Point;C: Point;D: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Expression(l1) = (x - y - 2 = 0);Expression(l2)=(x-y+2=0);LeftFocus(G) = F;Intersection(l1,G)={A,B};Intersection(l2,G)={C,D}",
+      "coords": {}
+    },
+    {
+      "index": 1277,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1278,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.03125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1278.png",
+      "answer": "(0, 1/32)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 8*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 1279,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1279.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C) = F;M: Point;PointOnCurve(M, Directrix(C));YCoordinate(M) =3*sqrt(3);N: Point;OneOf(Intersection(LineOf(M, F), C)) = N;VectorOf(M, N) = 2*VectorOf(N, F)",
+      "coords": {}
+    },
+    {
+      "index": 1280,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1280.png",
+      "answer": "1/2",
+      "fact_expr": "H: Line;Expression(H) = (k*x - y + 1 = 0);k: Number;G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);Intersection(H, G) = {A, B};A: Point;B: Point;Negation(A = B);M: Point;Coordinate(M) = (3, 0);PointOnCurve(M, xAxis);Distance(M, A) = Distance(M, B)",
+      "coords": {
+        "M": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1281,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1281.png",
+      "answer": "sqrt(17)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);x1: Number;y1: Number;P: Point;Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1282,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1283,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1283.png",
+      "answer": "pi/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;M: Point;Coordinate(M) = (x1, y1);x1: Number;y1: Number;N: Point;Coordinate(N) = (x2, y2);x2: Number;y2: Number;PointOnCurve(M, C);PointOnCurve(N, C);x1 + x2 + 2 = 2*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 1284,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1284.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;F1: Point;F2: Point;P:Point;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};OneOf(Intersection(H,G))=P",
+      "coords": {}
+    },
+    {
+      "index": 1285,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_1285.png",
+      "answer": "y = pm*x/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Eccentricity(C) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1286,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1286.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);H: Line;D: Point;Coordinate(D) = (2, 0);PointOnCurve(D, H);A: Point;B: Point;Intersection(H, G) = {A, B};Length(LineSegmentOf(A, B)) = 10;C: Point;MidPoint(LineSegmentOf(A, B)) = C",
+      "coords": {
+        "D": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1287.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2 = 1);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (x - y + 6 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1288,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1288.png",
+      "answer": "sqrt(13)+2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;M: Point;P: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);Coordinate(M) = (4, 3);LeftFocus(G) = F;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "M": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1289,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1289.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;C: Point;Coordinate(C) = (0, 2*b);PointOnCurve(B, PerpendicularBisector(LineSegmentOf(A, C)))",
+      "coords": {}
+    },
+    {
+      "index": 1290,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1290.png",
+      "answer": "y^2/8-x^2/32=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);Z: Hyperbola;Asymptote(G) = Asymptote(Z);H: Point;Coordinate(H) = (2, 3);PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1291,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1291.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H) ;IsPerpendicular(H, xAxis) ;Intersection(H, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(F1, F2)) = (sqrt(3)/2)*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 1292,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1292.png",
+      "answer": "y=pm*sqrt(2)/2*x",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;Expression(H) = (x^2/4 + y^2 = 1);Coordinate(P) = (2, 1);Focus(G) = Focus(H);PointOnCurve(P,G)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1293,
+      "success": false,
+      "error": "\nF_{1}|=\\lambda|M F_{2}|$ $\\left(\\frac{1}{3} \\leq \\lambda \\leq\n                       ^\nParseException: Expected end of text, found '$'  (at char 23), (line:1, col:24)"
+    },
+    {
+      "index": 1294,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1294.png",
+      "answer": "5*sqrt(2)/2",
+      "fact_expr": "G: Parabola;H: Line;M: Point;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 8*x);Coordinate(M) = (1, 0);PointOnCurve(M, H);Intersection(H, G) = {A, B};Focus(G) = F;Abs(LineSegmentOf(A, F)) = 6",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1295,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1295.png",
+      "answer": "8*sqrt(3)",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (x^2/4 - y^2/8 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);LineSegmentOf(P, F1) = 2*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1296,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1296.png",
+      "answer": "pm*2*sqrt(2)/3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;k: Real;Expression(C) = (y^2 = 8*x);Expression(G) = (y = k*(x + 2));Intersection(G, C) = {A, B};Focus(C) = F;Abs(VectorOf(F, A)) = 2*Abs(VectorOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 1297,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1297.png",
+      "answer": "(0,-3/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/6)",
+      "coords": {}
+    },
+    {
+      "index": 1298,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1299,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1299.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G)=(x^2/9+y^2/4=1)",
+      "coords": {}
+    },
+    {
+      "index": 1300,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1300.png",
+      "answer": "(sqrt(2),+oo)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;PointOnCurve(A, RightPart(G));Distance(F2, LineOf(A, F1)) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 1301,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1302,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1302.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1303,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.039365291595459,
+        "b": 2.936960895380947,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 2.390299779739223e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_1303.png",
+      "answer": "y = pm*25/4",
+      "fact_expr": "G: Ellipse;O: Origin;Center(G) = O;Eccentricity(G) = 4/5;Coordinate(OneOf(Focus(G)))=(0,4)",
+      "coords": {}
+    },
+    {
+      "index": 1304,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1304.png",
+      "answer": "0",
+      "fact_expr": "G: Ellipse;H: Line;E: Point;N: Point;M: Point;P: Point;l:Line;Expression(G) = (x^2/2 + y^2 = 1);PointOnCurve(Center(G),H);Intersection(H,G)={M,N};Quadrant(M)=1;PointOnCurve(M,l);IsPerpendicular(l,xAxis);FootPoint(l,xAxis)=E;OneOf(Intersection(LineOf(N,E),G))=P",
+      "coords": {}
+    },
+    {
+      "index": 1305,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1305.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;C: Point;Coordinate(C) = (0, sqrt(2)*b);PointOnCurve(B, PerpendicularBisector(LineSegmentOf(A, C)))",
+      "coords": {}
+    },
+    {
+      "index": 1306,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1306.png",
+      "answer": "(9/4)*p",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(l,Directrix(C)) = M;VectorOf(A, B) + VectorOf(A, M) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1307,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1307.png",
+      "answer": "pm*1",
+      "fact_expr": "l: Line;C: Parabola;B: Point;A: Point;P: Point;F: Point;Q: Point;Expression(C) = (y^2 = 4*x);Coordinate(P) = (-1, 0);Focus(C) = F;PointOnCurve(P, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = Q;Abs(LineSegmentOf(F, Q)) = 2",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1308,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1308.png",
+      "answer": "{pi/3,2*pi/3}",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;theta: Number;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};-1/Abs(LineSegmentOf(B, F)) + 1/Abs(LineSegmentOf(A, F)) = 1;Inclination(l) = theta",
+      "coords": {}
+    },
+    {
+      "index": 1309,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1309.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (-1, 0);Intersection(Directrix(G), xAxis) = A;Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1310,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1311,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1312,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1313,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1313.png",
+      "answer": "(1,5/3]",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));IsIntersect(LineOf(P,F1), H)",
+      "coords": {}
+    },
+    {
+      "index": 1314,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1314.png",
+      "answer": "sqrt(15)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;P: Point;B: Point;O:Origin;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(P, G);Negation(A=B);Negation(A=P);Negation(B=P);PointOnCurve(O,LineSegmentOf(A,B));Slope(LineOf(P, B)) = k2;Slope(LineOf(P,A))=k1;k1:Number;k2:Number;k1*k2=2/3;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1315,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1315.png",
+      "answer": "100/3",
+      "fact_expr": "G: Parabola;H: Ellipse;A: Point;B: Point;Expression(H) = (x^2/25 + y^2/16 = 1);Vertex(G)=Center(H);LeftDirectrix(H)=Directrix(G);Intersection(RightDirectrix(H),G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 1316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1316.png",
+      "answer": "y^2/20+x^2/4=1",
+      "fact_expr": "G: Ellipse;H: Point;Expression(G) = (x^2/9 + y^2/25 = 1);Coordinate(H) = (sqrt(3), sqrt(5));C:Ellipse;Focus(C)=Focus(G);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          1.7320508075688772,
+          2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 1317,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1317.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;O: Origin;M: Point;Expression(G) = (x^2/9 + y^2/5 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(P, F1)) = M;Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1318,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.1209959984138265,
+        "b": 2.1209959984138265,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 8.099017116797696e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/test/hyperbola/problem_1318.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);Focus(G) = {F1, F2};Length(ImageinaryAxis(G)) = sqrt(2)*Length(RealAxis(G))",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1319,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1319.png",
+      "answer": "pm*(sqrt(3)/3)",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 2*x);PointOnCurve(Focus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};M: Circle;IsDiameter(Abs(LineSegmentOf(A, B)), M);IsTangent(Directrix(G), M);Area(M) = 16*pi",
+      "coords": {}
+    },
+    {
+      "index": 1320,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/test/parabola/problem_1320.png",
+      "answer": "x^2=4*y",
+      "fact_expr": "C: Parabola;O: Origin;Vertex(C) = O;PointOnCurve(Focus(C), yAxis);G: Point;Coordinate(G) = (2, 1);PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1321,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1322,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1322.png",
+      "answer": "(pm*sqrt(3),0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 1323,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1323.png",
+      "answer": "(0,sqrt(3)-1]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;LeftVertex(G) = A;B: Point;UpperVertex(G) = B;F: Point;RightFocus(G) = F;MidPoint(LineSegmentOf(A,B)) = M;M: Point;DotProduct(VectorOf(M, F), 2*VectorOf(M, A)) + VectorOf(B, F)^2 >= 0",
+      "coords": {}
+    },
+    {
+      "index": 1324,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1324.png",
+      "answer": "(4, 2)",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x - y = 2);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1325,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/ellipse/problem_1325.png",
+      "answer": "{16/3,3}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 1326,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1326.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;Coordinate(Focus(G)) = (1,0)",
+      "coords": {}
+    },
+    {
+      "index": 1327,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1327.png",
+      "answer": "(0,1/16)",
+      "fact_expr": "G: Parabola;F: Point;Expression(G) = (y = 4*x^2);Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1328,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1328.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;p: Real;Expression(G) = (x^2/(12 - m) - y^2/(m + 4) = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1329,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1329.png",
+      "answer": "8*x - y - 15 = 0",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;Expression(G) = (y^2 = 16*x);Coordinate(P) = (2, 1);PointOnCurve(P, H);Intersection(H, G) = {A, B};VectorOf(P, A) + VectorOf(P, B) = 0",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1330,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1330.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Circle;e: Number;a > b;b > 0;Expression(H) = (y^2 + (x - 2)^2 = 1);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(OneOf(Vertex(G)),H);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1331,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1331.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P,G);Distance(P, Focus(G)) = Distance(P, yAxis)*2",
+      "coords": {}
+    },
+    {
+      "index": 1332,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1333,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_1333.png",
+      "answer": "-21/5",
+      "fact_expr": "A: Point;B: Point;G: Hyperbola;b: Number;P: Point;F1: Point;F2: Point;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Coordinate(B) = (0, b);Eccentricity(G)=sqrt(5)/2;Focus(G)={F1,F2};LeftVertex(G)=A;PointOnCurve(P, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 1334,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1334.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;k: Number;H: Parabola;Expression(G) = (x^2 - y^2 = k);Expression(H) = (y^2 = 16*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1335,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1336,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_1336.png",
+      "answer": "x^2-y^2/4=1",
+      "fact_expr": "C: Hyperbola;Expression(Asymptote(C)) = (y = pm*2*x)",
+      "coords": {}
+    },
+    {
+      "index": 1337,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1337.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2;Distance(Focus(G),Asymptote(G))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1338,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1339,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1340.png",
+      "answer": "x^2/5-y^2/20=1",
+      "fact_expr": "l: Line;Expression(l) = (y = 2*x + 10);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(OneOf(Focus(G)), l);IsParallel(l, OneOf(Asymptote(G)))",
+      "coords": {}
+    },
+    {
+      "index": 1341,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1342,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1342.png",
+      "answer": "(1, sqrt(2)]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-4*x + x^2 + y^2 + 2 = 0);IsIntersect(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 1343,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1343.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;a: Real;O: Origin;F: Point;B: Point;a > sqrt(3);Expression(C) = (y^2/3 + x^2/a^2 = 1);RightFocus(C) = F;UpperVertex(C) = B;Perimeter(TriangleOf(O, F, B)) = sqrt(3) + 3",
+      "coords": {}
+    },
+    {
+      "index": 1344,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_1344.png",
+      "answer": "y=pm*(1/2)*x",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 1345,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1345.png",
+      "answer": "-1/4",
+      "fact_expr": "C: Ellipse;O: Origin;D: Point;B: Point;A: Point;Expression(C) = (x^2/4 + y^2 = 1);PointOnCurve(A,C);PointOnCurve(B,C);MidPoint(LineSegmentOf(A, B)) = D;Slope(LineOf(O,D))=1",
+      "coords": {}
+    },
+    {
+      "index": 1346,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1346.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (x0, sqrt(2));x0:Number;PointOnCurve(A,G);Distance(A, Focus(G)) = Distance(A, yAxis) * 3",
+      "coords": {}
+    },
+    {
+      "index": 1347,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1347.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Inclination(H) = ApplyUnit(30, degree);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1348,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1348.png",
+      "answer": "[3/2, +oo)",
+      "fact_expr": "Q: Point;m: Real;Coordinate(Q) = (m, 0);P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);RightVertex(G) = P;WhenMin(Length(LineSegmentOf(P, Q)))",
+      "coords": {}
+    },
+    {
+      "index": 1349,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -1.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1349.png",
+      "answer": "x^2 + y^2 - 4*x + 2*y + 1 = 0",
+      "fact_expr": "P: Point;A: Point;G: Circle;M: Point;Expression(G) = (2*y - 4*x + x^2 + y^2 - 11 = 0);PointOnCurve(P, G);Center(G) = A;MidPoint(LineSegmentOf(P, A)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1350,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1350.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1351,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_1351.png",
+      "answer": "x^2/4-y^2/15=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1352,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1352.png",
+      "answer": "1/4",
+      "fact_expr": "A: Point;M: Point;G: Hyperbola;a: Real;H: Parabola;p: Number;Expression(G) = (x^2 - y^2/a = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Coordinate(M) = (1, m);PointOnCurve(M, H);Distance(M, Focus(H)) = 5;LeftVertex(G) = A;IsPerpendicular(OneOf(Asymptote(G)), LineOf(A, M));m:Number",
+      "coords": {}
+    },
+    {
+      "index": 1353,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1354,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1355,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1356,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1356.png",
+      "answer": "x^2/7-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2 + x^2/m = 1);m: Number;H: Ellipse;Expression(H) = (x^2/12 + y^2/4 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1357,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1357.png",
+      "answer": "",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/36 - y^2/m = 1);FocalLength(G) = 18",
+      "coords": {}
+    },
+    {
+      "index": 1358,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1359,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1359.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A1: Point;B: Point;A2: Point;C: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;LeftVertex(G) = A1;RightVertex(G) = A2;L:Line;PointOnCurve(F, L);IsPerpendicular(L,xAxis);Intersection(L, G) = {B, C};IsPerpendicular(LineSegmentOf(A1, B), LineSegmentOf(A2, C))",
+      "coords": {}
+    },
+    {
+      "index": 1360,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1360.png",
+      "answer": "1/9",
+      "fact_expr": "A: Point;M: Point;G: Hyperbola;a: Real;H: Parabola;p: Number;m: Number;Expression(G) = (-y^2 + x^2/a = 1);p>0;m > 0;Expression(H) = (y^2 = 2*(p*x));Coordinate(M) = (1, m);PointOnCurve(M, H);Distance(M, Focus(H)) = 5;LeftVertex(G) = A;IsParallel(OneOf(Asymptote(G)), LineOf(A, M))",
+      "coords": {}
+    },
+    {
+      "index": 1361,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1362,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1363,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1363.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);c: Number;FocalLength(G) = 2*c;Distance(Focus(G),Asymptote(G))=c/2",
+      "coords": {}
+    },
+    {
+      "index": 1364,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1365,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1365.png",
+      "answer": "2\nx=-1",
+      "fact_expr": "G: Parabola;p: Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(Focus(G)) = (1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 1366,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1366.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/8 + y^2/3 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1367,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1367.png",
+      "answer": "9*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C) = F;G: Ellipse;Expression(G) = (4*x^2/9 + y^2/b^2 = 1);b: Number;RightVertex(G) = F;l: Line;Directrix(C) = l;A: Point;PointOnCurve(A, C) = True;PointOnCurve(A, LineSegmentOf(A, B)) = True;IsPerpendicular(LineSegmentOf(A, B), l) = True;FootPoint(LineSegmentOf(A, B), l) = B;B: Point;Slope(LineOf(B, F)) = k_BF;k_BF: Number;k_BF = -sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1368,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1368.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);M: Point;MidPoint(LineSegmentOf(F1, P)) = M;O: Origin;Abs(LineSegmentOf(O, M)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1369,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1369.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: LineSegment;L:LineSegment;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(F,H);PointOnCurve(F,L);OneOf(Focus(G)) = F ;F: Point;L1:Line;L2:Line;Asymptote(G)={L1,L2};IsPerpendicular(H,L1);IsPerpendicular(L,L2);H + L = a",
+      "coords": {}
+    },
+    {
+      "index": 1370,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1370.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "Vertex(H) = O;O: Origin;G: Hyperbola;Expression(G) = (x^2/12 - y^2/4 = 1);RightFocus(G) = Focus(H);H: Parabola",
+      "coords": {}
+    },
+    {
+      "index": 1371,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7841060161590576,
+        "b": 0.3689577579498291,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.885034397579147e-07,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_1371.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-sqrt(3)/2, 0);Coordinate(F2) = (sqrt(3)/2, 0);Focus(G) = {F1, F2};Quadrant(P) = 1;PointOnCurve(P, G);Tan(AngleOf(P, F1, F2)) = 1/2;Tan(AngleOf(P, F2, F1)) = -2",
+      "coords": {
+        "F1": [
+          -0.8660254037844386,
+          0.0
+        ],
+        "F2": [
+          0.8660254037844386,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1372,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1372.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;H: Ellipse;Expression(G) = (x^2/8 - y^2/b^2 = 1);Expression(H) = (x^2/2 + y^2 = 1);Directrix(G)=Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 1373,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1374,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1374.png",
+      "answer": "{(-sqrt(2)/2,sqrt(30)/6),(-sqrt(2)/2,-sqrt(30)/6)}",
+      "fact_expr": "G: Ellipse;F1: Point;A: Point;F2: Point;B: Point;Expression(G) = (x^2/3 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(F1, A) = 3*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 1375,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1376,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1376.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "G: Parabola;l1:Line;l2:Line;P:Point;Expression(G) = (y^2 = 4*x);Expression(l1)=(2*x-y+2=0);Expression(l2)=(x=-1);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 1377,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1377.png",
+      "answer": "4/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/m = 1);m: Number;Radius(H) = Eccentricity(G);Center(H) = RightFocus(G);H: Circle;IsTangent(H, OneOf(Asymptote(G))) = True",
+      "coords": {}
+    },
+    {
+      "index": 1378,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_1378.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/16 - y^2/m = 1);Eccentricity(G) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 1379,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1379.png",
+      "answer": "2*sqrt(42)/7",
+      "fact_expr": "G: Ellipse;H: Circle;A: Point;B: Point;Q: Point;l1: Line;l2: Line;Expression(G) = (x^2/16 + y^2/8 = 1);Expression(H) = (y^2 + (x - 1)^2 = 1);PointOnCurve(Q, G);TangentOfPoint(Q, H) = {l1, l2};TangentPoint(l1,H)=A;TangentPoint(l2,H)=B",
+      "coords": {}
+    },
+    {
+      "index": 1380,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1380.png",
+      "answer": "2",
+      "fact_expr": "H: Line;Expression(H) = (y = b + x);b: Number;G: Parabola;Expression(G) = (x^2 = 2*y);Intersection(H, G) = {A, B};A: Point;B: Point;O: Origin;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1381,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1381.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;A: Point;B: Point;O: Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = -8*x);l1:Line;l2:Line;Asymptote(G)={l1,l2};Intersection(l1, Directrix(G)) = A;Intersection(l2, Directrix(G)) = B;Area(TriangleOf(A, B, O)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1382,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1382.png",
+      "answer": "25/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);P: Point;PointOnCurve(P, G);H: Circle;Expression(H) = (x^2 + (y + 2)^2 = 1);A: Point;B: Point;IsDiameter(LineSegmentOf(A, B), H)",
+      "coords": {}
+    },
+    {
+      "index": 1383,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1383.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Parabola;p: Number;A: Point;B:Point;O: Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(L1,Directrix(H))=A;Intersection(L2,Directrix(H))=B;Eccentricity(G)=2;Area(TriangleOf(A,O,B))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1384,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1384.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1385,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1385.png",
+      "answer": "(1/2,2/3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;H: Line;A:Point;B: Point;e: Number;k:Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C)=A;PointOnCurve(A,H);Slope(H)=k;Intersection(H,C)={A,B};RightFocus(C)=F;IsPerpendicular(LineSegmentOf(B,F),xAxis);1/3<k;k<1/2;Eccentricity(C) = e;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 1386,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1386.png",
+      "answer": "[sqrt(3)/3,sqrt(2)/2]",
+      "fact_expr": "M: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;c:Number;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(M) =F1;RightFocus(M)=F2;PointOnCurve(P,M);Range(Max(Abs(LineSegmentOf(P,F1))*Abs(LineSegmentOf(P,F2))))=[2*c^2,3*c^2];Eccentricity(M) = e;c=sqrt(a^2-b^2)",
+      "coords": {}
+    },
+    {
+      "index": 1387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1387.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;p>0;Expression(G) = (x^2 = 2*(p*y));Expression(H) = (x^2/3 + y^2/12 = 1);Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 1388,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1388.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "F: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(G) = F;PointOnCurve(F, l) = True;l: Line;H: Circle;Expression(H) = (x^2 + y^2 = a^2);IsTangent(l, H) = True;TangentPoint(l, H) = A;A: Point;Intersection(l, RightPart(G)) = B;B: Point;VectorOf(F, A) = VectorOf(F, B)/3",
+      "coords": {}
+    },
+    {
+      "index": 1389,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1389.png",
+      "answer": "(5/4,-3/4)",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = x);PointOnCurve(P, RightPart(G));Distance(P, H) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1390,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1390.png",
+      "answer": "4/3",
+      "fact_expr": "l: Line;G: Parabola;E: Point;F: Point;P: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);PointOnCurve(P, LineSegmentOf(P, E));IsPerpendicular(LineSegmentOf(P, E), l);FootPoint(LineSegmentOf(P, E), l) = E;Inclination(LineOf(E, F)) = ApplyUnit(150, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1391,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1391.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;LeftFocus(G) = F;A: Point;RightVertex(G) = A;B: Point;Coordinate(B) = (0, b);P: Point;MidPoint(LineSegmentOf(A, B)) = P;Abs(LineSegmentOf(P, F)) = sqrt(6)*Abs(LineSegmentOf(O, P));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1392,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1392.png",
+      "answer": "y=pm*(1/2)*x\nsqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1393,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1393.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(M,G);LeftFocus(G)=F1;Distance(M,F1)=6;MidPoint(LineSegmentOf(M,F1))=N",
+      "coords": {}
+    },
+    {
+      "index": 1394,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_1394.png",
+      "answer": "x^2/9 - y^2/27 = 1",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 24*x);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 1395,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1396,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1396.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Q: Point;Expression(G) = (y^2 = 2*x);Coordinate(P)=(x1,y1);Coordinate(Q)=(x2,y2);PointOnCurve(Focus(G), H);Intersection(H, G)={P,Q};x1:Number;x2:Number;y1:Number;y2:Number;x1+x2=3",
+      "coords": {}
+    },
+    {
+      "index": 1397,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1397.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;F2: Point;B: Point;F1: Point;A1: Point;Expression(G) = (x^2/4 + y^2/b^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1, l);Intersection(l, G) = {A1, B};Max(LineSegmentOf(A1, F2) + LineSegmentOf(B, F2)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1398,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1398.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;P: Point;Q: Point;Expression(G) = (x^2/4 + y^2/1 = 1);Coordinate(P) = (0, 1);PointOnCurve(Q, G)",
+      "coords": {
+        "P": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1399,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1399.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F:Point;OneOf(Focus(G))=F;l:Line;IsParallel(l,Asymptote(G));Intersection(l, yAxis) = P;P:Point;O:Origin;MidPoint(LineSegmentOf(O,P))=Endpoint(ImageinaryAxis(G));PointOnCurve(F,l)",
+      "coords": {}
+    },
+    {
+      "index": 1400,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -5.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1400.png",
+      "answer": "10",
+      "fact_expr": "C1: Curve;C2: Curve;C3: Curve;P: Point;Q: Point;R: Point;Expression(C1) = (x^2/16 - y^2/9 = 1);Expression(C2) = (y^2 + (x - 5)^2 = 1);Expression(C3) = (y^2 + (x + 5)^2 = 1);PointOnCurve(P, C1);PointOnCurve(Q, C2);PointOnCurve(R, C3)",
+      "coords": {}
+    },
+    {
+      "index": 1401,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1401.png",
+      "answer": "3*x+4*y-7=0",
+      "fact_expr": "Gamma: Ellipse;Expression(Gamma) = (x^2/4 + y^2/3 = 1);P: Point;Coordinate(P) = (1, 1);l: Line;PointOnCurve(P, l);A: Point;B: Point;Intersection(l, Gamma) = {A, B};IsChordOf(LineSegmentOf(A, B), Gamma);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1402,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1403,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1403.png",
+      "answer": "2*sqrt(7)/7",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;a: Number;H: Circle;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(LeftFocus(G), l);Inclination(l) = pi/3;IsDiameter(MajorAxis(G), H);Length(InterceptChord(l, H)) = FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 1404,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1404.png",
+      "answer": "[2, 3]",
+      "fact_expr": "H: Circle;Expression(H) = (x^2 + y^2 = a^2);a: Real;a>0;G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 1405,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1405.png",
+      "answer": "24",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2:Point;Expression(G) = (x^2/49 + y^2/24 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 1406,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1406.png",
+      "answer": "(1, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Point;Coordinate(H) = (-1, 1);PointOnCurve(H, Directrix(G))",
+      "coords": {
+        "H": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1407,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1407.png",
+      "answer": "(a^2+b^2)/4",
+      "fact_expr": "P: Point;PointOnCurve(P, E);E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;l1: Line;Expression(l1) = (y = (b/a)*x);l2: Line;Expression(l2) = (y = (-b/a)*x);Asymptote(E) = {l1, l2};Z1: Line;Z2: Line;PointOnCurve(P, Z1);PointOnCurve(P, Z2);IsParallel(Z1, l1);IsParallel(Z2, l2);R: Point;Q: Point;Intersection(Z1, l2) = R;Intersection(Z2, l1) = Q",
+      "coords": {}
+    },
+    {
+      "index": 1408,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1409.png",
+      "answer": "x-y-2=0",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F:Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M,G);PointOnCurve(N,G);Negation(M=N);Focus(G)=F;YCoordinate(MidPoint(LineSegmentOf(M,N)))=2;Abs(LineSegmentOf(M,F))+Abs(LineSegmentOf(N,F))=10",
+      "coords": {}
+    },
+    {
+      "index": 1410,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1410.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;Expression(G) = (x^2/3 + y^2 = 1);UpperVertex(G) = A;LeftVertex(G) = B",
+      "coords": {}
+    },
+    {
+      "index": 1411,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1412,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1412.png",
+      "answer": "4",
+      "fact_expr": "A: Point;B: Point;C:Curve;Expression(C)=(y^2=4*x);IsChordOf(LineSegmentOf(A,B),C);PointOnCurve(Focus(C),LineSegmentOf(A,B));Abs(LineSegmentOf(A, B)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1413,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1413.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(G) = F;A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);O: Origin;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F));DotProduct(VectorOf(O, F), VectorOf(O, A)) + DotProduct(VectorOf(P, A), VectorOf(P, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1414,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1414.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;A: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;LeftVertex(G) = A;UpperVertex(G) = B;Distance(F, LineOf(A,B)) = (2*b)/sqrt(17)",
+      "coords": {}
+    },
+    {
+      "index": 1415,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1415.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G:Parabola;P: Point;O: Origin;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(P,G);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1416,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1416.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;A: Point;P: Point;B: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(E) = A;RightVertex(E) = B;PointOnCurve(P, E);Tan(AngleOf(P, A, B)) = 1/2;Tan(AngleOf(P, B, A)) = 2/9",
+      "coords": {}
+    },
+    {
+      "index": 1417,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1417.png",
+      "answer": "sqrt(10)/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;A: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, G);AngleOf(F1, A, F2) = ApplyUnit(90, degree);Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1418,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1419.png",
+      "answer": "(-oo,-32]+(0,oo)",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;M: Point;O: Origin;A: Point;B: Point;a > b;b > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (4, 0);PointOnCurve(M,l);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(l,L1)=A;Intersection(l,L2)=B;Negation(A=B);Eccentricity(G) = 2",
+      "coords": {
+        "M": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1420,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1421,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1422,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1422.png",
+      "answer": "4/5\nx=pm*(25/4)",
+      "fact_expr": "G:Curve;Expression(G)=(x^2/25+y^2/9=1)",
+      "coords": {}
+    },
+    {
+      "index": 1423,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1423.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "F1: Point;F2: Point;Focus(E) = {F1, F2};E: Hyperbola;Expression(E) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, E);O: Origin;Distance(P, O) = b;Sin(AngleOf(P, F2, F1)) = 3*Sin(AngleOf(P, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1424,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1425,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1425.png",
+      "answer": "sqrt(2) - 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Z: Line;PointOnCurve(F2, Z);IsPerpendicular(Z, xAxis);OneOf(Intersection(Z, G)) = P;AngleOf(F1, P, F2) = ApplyUnit(45, degree);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1426,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1427,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1428,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1428.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;m: Real;m>1;Expression(G) = (y^2 + x^2/m = 1);Length(MajorAxis(G)) = 2*Length(MinorAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 1429,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1429.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/5 + y^2/4 = 1);F: Point;RightFocus(H) = F;G: Parabola;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1430,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1430.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Real;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1431,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1432,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1432.png",
+      "answer": "(x - 2*sqrt(5)) + y^2 = 25",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2/4 - y^2/16 = 1);RightFocus(G) = Center(H);Length(InterceptChord(Asymptote(G),H))=6",
+      "coords": {}
+    },
+    {
+      "index": 1433,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1433.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G) = True;Distance(M, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1434,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1434.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/6 + y^2/m = 1);m: Number;Coordinate(OneOf(Focus(G))) = (0,2)",
+      "coords": {}
+    },
+    {
+      "index": 1435,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.03125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1435.png",
+      "answer": "65/16",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;M:Point;Expression(G) = (x^2 = y/8);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B))=M;YCoordinate(M)=2",
+      "coords": {}
+    },
+    {
+      "index": 1436,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1436.png",
+      "answer": "5/2",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Focus(G) = {F1,F2};PointOnCurve(F1,H);IsPerpendicular(H,xAxis);OneOf(Intersection(H,G)) = P;IsIntersect(G, H)",
+      "coords": {}
+    },
+    {
+      "index": 1437,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1437.png",
+      "answer": "(x-3/8)^2 + y^2 = 9/64",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;M: Point;O: Origin;D: Point;Expression(G) = (x^2/4 + y^2 = 1);t: Real;Coordinate(M) = (1, t);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;PerpendicularBisector(LineSegmentOf(A, B)) = l;IsPerpendicular(LineSegmentOf(O, D), l);FootPoint(LineSegmentOf(O, D), l) = D",
+      "coords": {}
+    },
+    {
+      "index": 1438,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1438.png",
+      "answer": "3*sqrt(2)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;PointOnCurve(N, Directrix(C));N: Point;L: Line;PointOnCurve(N, L) ;IsPerpendicular(LineSegmentOf(N, F), L);Intersection(L, yAxis) = M;M: Point;PointOnCurve(E, C);E: Point;2*VectorOf(N, E) = VectorOf(N, F) + VectorOf(N, M)",
+      "coords": {}
+    },
+    {
+      "index": 1439,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1439.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;M: Point;A: Point;B: Point;C: Point;D: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Endpoint(MajorAxis(E)) = {A, B};Endpoint(MinorAxis(E)) = {C, D};Abs(LineSegmentOf(M, A))/Abs(LineSegmentOf(M, B)) = 2;Max(TriangleOf(M, A, B)) = 8;Min(TriangleOf(M, C, D)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1440,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1440.png",
+      "answer": "7*sqrt(2)/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (x - y - 2 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1441,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1441.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1442,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1442.png",
+      "answer": "sqrt(2)\n(3/4)*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;A: Point;Coordinate(A) = (0, 2);B: Point;MidPoint(LineSegmentOf(F, A)) = B;PointOnCurve(B, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1443,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1443.png",
+      "answer": "(0,(sqrt(6)-sqrt(2))/4)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O,G);Intersection(G, C) = {A, B};AngleOf(A, F, B) >= ApplyUnit(150, degree);O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 1444,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1444.png",
+      "answer": "sqrt(13) - 2",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;P: Point;F: Point;Expression(G) = (x^2/4 - y^2/5 = 1);Coordinate(A) = (0, 2);PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(A, B)) = 2;RightFocus(G) = F",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1445,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1445.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Line;M: Point;F2: Point;N: Point;Expression(G) = (x^2/4 - y^2/3 = 1);RightFocus(G) = F2;F1: Point;LeftFocus(G) = F1;PointOnCurve(F1, H);Intersection(H, LeftPart(G)) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 1446,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1446.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;F: Point;E: Point;O: Origin;P: Point;l1: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2/4);Coordinate(F) = (-c, 0);LeftFocus(G) = F;TangentOfPoint(F, H) = l1;TangentPoint(l1,H)=E;Intersection(OverlappingLine(LineSegmentOf(F,E)),RightPart(G))=P;VectorOf(O,E)=(VectorOf(O,F)+VectorOf(O,P))/2;c:Number;c>0",
+      "coords": {}
+    },
+    {
+      "index": 1447,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1447.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(RightFocus(G), H);Slope(H) = 2;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1448,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1448.png",
+      "answer": "-2",
+      "fact_expr": "C: Parabola;G: Circle;M: Point;A: Point;B: Point;x0:Number;y0:Number;Expression(C) = (x^2 = 8*y);Coordinate(M) = (x0, y0);PointOnCurve(M,LineOf(M,A));PointOnCurve(M,LineOf(M,B));TangentPoint(LineOf(M,A),C)=A;TangentPoint(LineOf(M,B),C)=B;IsDiameter(LineSegmentOf(A,B),G);PointOnCurve(M,G)",
+      "coords": {}
+    },
+    {
+      "index": 1449,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1449.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;A: Point;l1:Line;l2:Line;Expression(G) = (x^2 = 2*y);PointOnCurve(P,G);PointOnCurve(Q,G);XCoordinate(P)=4;XCoordinate(Q)=-2;TangentOnPoint(P,G)=l1;TangentOnPoint(Q,G)=l2;Intersection(l1,l2)=A",
+      "coords": {}
+    },
+    {
+      "index": 1450,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1450.png",
+      "answer": "8",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = p*y);p: Number;G: Hyperbola;Expression(G) = (-x^2 + y^2/3 = 1);Focus(H) = UpperFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1451,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1451.png",
+      "answer": "(-oo, -sqrt(3)/2) + (sqrt(3)/2, +oo)",
+      "fact_expr": "l: Line;G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = -1);O: Origin;PointOnCurve(O, l);NumIntersection(l, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1452,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1452.png",
+      "answer": "(0,pm*3)",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);F1:Point;F2:Point;Distance(P,F1)*Distance(P,F2) = m;WhenMax(m);m:Number;Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 1453,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1453.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1454,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1454.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;l1: Line;l2: Line;F: Point;O: Origin;P: Point;Q: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(Q, l1);Expression(l1)=(y = -x*b/a);PointOnCurve(P, l2);Expression(l2)=(y = x*(b/a));2*VectorOf(F, Q) = VectorOf(F, P);DotProduct(VectorOf(F, P), VectorOf(O, Q)) = 0;Area(TriangleOf(F, O, P)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1455,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1456,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1456.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);M: Point;Coordinate(M) = (2, 2);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1457,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1457.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;m: Number;Coordinate(M) = (1, m);PointOnCurve(M, G);Distance(M, Focus(G)) = 5;C: Hyperbola;Expression(C) = (x^2 - y^2/b^2 = 1);b: Number;b>0;A: Point;LeftVertex(C) = A;IsPerpendicular(OneOf(Asymptote(C)), LineOf(A, M))",
+      "coords": {}
+    },
+    {
+      "index": 1458,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1458.png",
+      "answer": "[sqrt(3)/2,1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;P: Point;F2: Point;LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,C);AngleOf(F1,P,F2)=ApplyUnit(120,degree)",
+      "coords": {}
+    },
+    {
+      "index": 1459,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1460,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.9902384281158447,
+        "b": 1.827926735623088,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.2790036214234405e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/ellipse/problem_1460.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;RightVertex(C) = A;B: Point;UpperVertex(C) = B;P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, C);WhenMin(Length(LineSegmentOf(A, B)))",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1461,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1462,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1462.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (2, 3)",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1463,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1463.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F: Point;P: Point;O: Origin;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(P, C);Quadrant(P)=1;AngleOf(F, P, O) = pi/6;Abs(LineSegmentOf(P, F)) = sqrt(3)*Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 1464,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1464.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/9 + x^2/a^2 = 1);a: Number;a>3;F1: Point;F2: Point;Focus(G) = {F1, F2};Abs(LineSegmentOf(F1, F2)) = 8;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) ;PointOnCurve(F1, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 1465,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1466,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1466.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;F: Point;D: Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(A, C);PointOnCurve(B, C);Focus(C) = F;AngleOf(A, F, B) = ApplyUnit(120, degree);MidPoint(LineSegmentOf(A, B))=D;Distance(D, Directrix(C)) = d;d:Number",
+      "coords": {}
+    },
+    {
+      "index": 1467,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1467.png",
+      "answer": "x = 2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x)",
+      "coords": {}
+    },
+    {
+      "index": 1468,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1468.png",
+      "answer": "4*sqrt(7)",
+      "fact_expr": "G: Ellipse;H: Line;F1: Point;A:Point;C:Circle;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = (3*x + 4*y - 21 = 0);LeftFocus(G)=F1;Center(C)=F1;RightVertex(G)=A;PointOnCurve(A,C)",
+      "coords": {}
+    },
+    {
+      "index": 1469,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1469.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "e: Number;Eccentricity(H) = e;e = 1/2;G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);Focus(H) = Focus(G);H: Ellipse",
+      "coords": {}
+    },
+    {
+      "index": 1470,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1470.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1471,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1471.png",
+      "answer": "16",
+      "fact_expr": "l: Line;G: Parabola;M: Point;N: Point;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Coordinate(M) = (2, 0);Coordinate(N) = (3, 1);PointOnCurve(M, l);PointOnCurve(N, l);Intersection(l,G)={A,B}",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ],
+        "N": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1472,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -3.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1472.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "l: Line;F: Circle;G:Circle;Expression(F) = (y^2 + (x - 3)^2 = 4);Expression(l)=(x=-1);IsOutTangent(F,G);IsTangent(l,G)",
+      "coords": {}
+    },
+    {
+      "index": 1473,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1474,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1474.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;P: Point;B: Point;D: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightVertex(G) = A;UpperVertex(G) = B;PointOnCurve(P, G);Intersection(LineSegmentOf(A, P), yAxis) = C;Intersection(LineSegmentOf(B, P), xAxis) = D;Abs(LineSegmentOf(A, D))*Abs(LineSegmentOf(B, C)) = a^2",
+      "coords": {}
+    },
+    {
+      "index": 1475,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1475.png",
+      "answer": "x^2/4-y^2/3=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (2, sqrt(3));Coordinate(F) = (-sqrt(7), 0);PointOnCurve(H, OneOf(Asymptote(G)));OneOf(Focus(G)) = F",
+      "coords": {
+        "H": [
+          2.0,
+          1.7320508075688772
+        ],
+        "F": [
+          -2.6457513110645907,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1476,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 9.0,
+        "b": 5.196152422706632,
+        "major_axis": "x",
+        "x_coef": 81.0,
+        "y_coef": 27.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1476.png",
+      "answer": "36",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/81 + y^2/27 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F1, H);P: Point;Q: Point;Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 1477,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1477.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;O: Origin;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l);Inclination(l) = pi/3;Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1478,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1478.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (1, 1);IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1479,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1479.png",
+      "answer": "1/(Cos(alpha)-Sin(alpha))",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;IsDiameter(LineSegmentOf(F1,F2),H);H: Circle;Intersection(H,RightPart(G)) = P;P: Point;AngleOf(P, F1, F2) = alpha;alpha: Number",
+      "coords": {}
+    },
+    {
+      "index": 1480,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1480.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 1481,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1481.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;H: Line;M: Point;N: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Intersection(H, G) = {M, N};Area(InscribedCircle(TriangleOf(M, N, F2))) = pi",
+      "coords": {}
+    },
+    {
+      "index": 1482,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1482.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;P: Point;F: Point;O: Origin;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1483,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1483.png",
+      "answer": "-4/3",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;O: Origin;E: Point;P: Point;Q: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (b + x - 2*y = 0);Eccentricity(G)= sqrt(3)/3;Intersection(H, G) = {P, Q};MidPoint(LineSegmentOf(P,Q))=E",
+      "coords": {}
+    },
+    {
+      "index": 1484,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1485,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1485.png",
+      "answer": "ApplyUnit(90,degree)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;O: Origin;B: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (y = x - 2);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1486,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1486.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);P: Point;PointOnCurve(P, G);L1: Line;L2: Line;Asymptote(G) = {L1, L2};l1: Line;l2: Line;PointOnCurve(P, l1);PointOnCurve(P, l2);IsParallel(L1, l1);IsParallel(L2, l2);M: Point;N: Point;Intersection(l1, xAxis) = M;Intersection(l2, xAxis) = N;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1487,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1487.png",
+      "answer": "sqrt(2)*27/16",
+      "fact_expr": "G: Parabola;P: Point;A: Point;B: Point;C: Point;l1: Line;l2: Line;Expression(G) = (y = x^2);Coordinate(P) = (0, 1);TangentOfPoint(C, G) = {l1, l2};TangentPoint(l1, G) = A;TangentPoint(l2, G) = B;VectorOf(C, P) = VectorOf(C, A)/3 + (2/3)*VectorOf(C, B)",
+      "coords": {
+        "P": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1488,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1488.png",
+      "answer": "x^2/18+y^2/8=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;M: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (0, -1);Eccentricity(C) = sqrt(3)/3;Center(G)=M;IsIntersect(G,C);Max(Radius(G))=sqrt(15)",
+      "coords": {
+        "M": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1489,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1489.png",
+      "answer": "x=-1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 1490,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1490.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1491,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1491.png",
+      "answer": "[-5,5]",
+      "fact_expr": "G: Ellipse;P: Point;x1:Number;y1:Number;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1492,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1493,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 1494,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1494.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);P: Point;Q: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);Intersection(l, G) = {P, Q};XCoordinate(MidPoint(LineSegmentOf(P, Q))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1495,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1496,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1496.png",
+      "answer": "y = pm*x",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/8 + x^2/a^2 = 1);Coordinate(OneOf(Focus(G))) = (4, 0)",
+      "coords": {}
+    },
+    {
+      "index": 1497,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1497.png",
+      "answer": "(-1/2,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -2*x)",
+      "coords": {}
+    },
+    {
+      "index": 1498,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1498.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;F2: Point;B: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, LeftPart(C)) = {A, B};Abs(LineSegmentOf(A, F2)) = 6;Abs(LineSegmentOf(B, F2)) = 10;Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1499,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1500,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1500.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;c:Number;H: Circle;F1: Point;M: Point;F2: Point;a>0;b>0;c>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;Center(H)=F2;Radius(H)=c;OneOf(Intersection(H,RightPart(G)))=M;IsTangent(LineOf(F1,M),H)",
+      "coords": {}
+    },
+    {
+      "index": 1501,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1501.png",
+      "answer": "a^2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;R: Point;Q: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);PointOnCurve(P, H);IsParallel(H, RealAxis(G));L1: Line;L2: Line;Asymptote(G) = {L1, L2};Intersection(H, L1) = R;Intersection(H, L2) = Q",
+      "coords": {}
+    },
+    {
+      "index": 1502,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1502.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;F2: Point;M: Point;F1: Point;N: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F2;Center(H) = F2;PointOnCurve(Center(G), H);Intersection(H, G) = {M, N};LeftFocus(G) = F1;PointOnCurve(F1, LineOf(M, F1));IsTangent(LineOf(M, F1), H)",
+      "coords": {}
+    },
+    {
+      "index": 1503,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1503.png",
+      "answer": "4*sqrt(6)",
+      "fact_expr": "l: Line;G: Parabola;M: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (2, 0);PointOnCurve(M, l);Slope(l) = 1;Intersection(l, G) = {A, B}",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1504,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1504.png",
+      "answer": "(x - 2)^2 + (y + 1)^2 = 1",
+      "fact_expr": "P: Point;Coordinate(P) = (4, -2);G: Circle;Expression(G) = (x^2 + y^2 = 4);Z: Point;PointOnCurve(Z, G)",
+      "coords": {}
+    },
+    {
+      "index": 1505,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1505.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;O: Origin;D: Point;E: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x = a);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(G,L1)=D;Intersection(G,L2)=E;Area(TriangleOf(O, D, E)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1506,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1507,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1507.png",
+      "answer": "66/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/100 + y^2/36 = 1);P: Point;PointOnCurve(P, G);Distance(P, RightDirectrix(G)) = 17/2",
+      "coords": {}
+    },
+    {
+      "index": 1508,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1508.png",
+      "answer": "5/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2 + y^2/5 = 1);A: Point;RightVertex(C) = A;P: Point;PointOnCurve(P, C) = True",
+      "coords": {}
+    },
+    {
+      "index": 1509,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/test/hyperbola/problem_1509.png",
+      "answer": "x^2/2-y^2/4=1",
+      "fact_expr": "G: Hyperbola;P: Point;O: Origin;Center(G)=O;Coordinate(P) = (1, -2);PointOnCurve(Focus(G), xAxis);PointOnCurve(P, G);Expression(OneOf(Asymptote(G)))=(y=sqrt(2)*x)",
+      "coords": {
+        "P": [
+          1.0,
+          -2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1510,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1510.png",
+      "answer": "(1, 1)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y = x^2);Expression(H) = (2*x - y = 4);Z: Point;PointOnCurve(Z, G);WhenMin(Distance(Z, H))",
+      "coords": {}
+    },
+    {
+      "index": 1511,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1512,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/test/hyperbola/problem_1512.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);OneOf(Focus(G)) = F;Expression(Asymptote(G)) = (y = pm*sqrt(3)*x)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1513,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1514,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1514.png",
+      "answer": "{0,1/8}",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 2);G: Parabola;Expression(G) = (y^2 = x);NumIntersection(H, G) = 1;k: Real",
+      "coords": {}
+    },
+    {
+      "index": 1515,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1515.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/12 + x^2/a^2 = 1);a: Number;a>0;Inclination(OneOf(Asymptote(G))) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1516,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1516.png",
+      "answer": "2*sqrt(3)\ny=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1517,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1518,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1518.png",
+      "answer": "5/3",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;P: Point;PointOnCurve(P, LeftPart(E));Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(F1, F2));G: Circle;Expression(G) = (x^2 + y^2 = a^2);IsTangent(LineOf(P, F2), G)",
+      "coords": {}
+    },
+    {
+      "index": 1519,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1519.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (1, 4);l: Line;PointOnCurve(P,l) = True;Intersection(l,G) = {A,B};A: Point;B: Point;MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1520,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1520.png",
+      "answer": "3/2",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;P: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Coordinate(P) = (-1, 1/2);PointOnCurve(P, l);Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A, B), C);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          -1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 1521,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1521.png",
+      "answer": "(x-2)^2 + (y - 4*sqrt(2))^2 = 36",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x);H: Circle;PointOnCurve(Center(H), G);PointOnCurve(Vertex(G), H);PointOnCurve(Focus(G), H);Quadrant(Center(H)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1522,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1522.png",
+      "answer": "1",
+      "fact_expr": "l: Line;Expression(l) = (x - y + 1 = 0);C: Parabola;Expression(C) = (x^2 = 2*y);A: Point;B: Point;Intersection(l, C) = {A, B};P: Point;PointOnCurve(P, l);M: Point;N: Point;PointOnCurve(M, C);PointOnCurve(N, C);IsParallel(VectorOf(M, N), VectorOf(A, B));Abs(VectorOf(M, N)) < Abs(VectorOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 1523,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1523.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Length(ImageinaryAxis(G)) = 2;FocalLength(G) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1524,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1524.png",
+      "answer": "2*sqrt(3)-2",
+      "fact_expr": "G: Hyperbola;H: Circle;P: Point;F: Point;N: Point;O: Origin;T: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Expression(H) = (x^2 + y^2 = 4);LeftFocus(G)=F;TangentOfPoint(F,H)=LineOf(F,P);Intersection(LineOf(F,P),RightPart(G))=P;TangentPoint(LineOf(F,P),H)=T;MidPoint(LineSegmentOf(F,P)) = N",
+      "coords": {}
+    },
+    {
+      "index": 1525,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1525.png",
+      "answer": "-1/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F: Point;RightFocus(C) = F;G: Line;Expression(G) = (y = k*x + 1);k: Real;A: Point;B: Point;Intersection(G, C) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 1526,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1526.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/9 = 1);PointOnCurve(P, G);LeftFocus(G)=F1;RightFocus(G)=F2;Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1527,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1528.png",
+      "answer": "7",
+      "fact_expr": "l1: Line;b: Number;b>3;Expression(l1) = (x - sqrt(3)*y + b = 0);C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l2: Line;Directrix(C) = l2;A: Point;PointOnCurve(A, C);d1: Number;d2: Number;Distance(A, l1) = d1;Distance(A, l2) = d2;WhenMin(d1+d2);d1 = 2*d2",
+      "coords": {}
+    },
+    {
+      "index": 1529,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1529.png",
+      "answer": "2*x+4*y-3=0",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);Coordinate(MidPoint(LineSegmentOf(A,B))) = (1/2, 1/2);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1530,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1531,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1531.png",
+      "answer": "(3/2, sqrt(15)/2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;PointOnCurve(M, C);Quadrant(M) = 1;Abs(LineSegmentOf(M, F1)) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1532,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1533,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1534,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1534.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Vertex(TriangleOf(A,B,C)),G);IsPerpendicular(LineSegmentOf(A,B),xAxis);IsParallel(LineSegmentOf(A,C),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1535,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1535.png",
+      "answer": "1/7",
+      "fact_expr": "P: Point;A: Point;G: Ellipse;b: Number;a: Number;B: Point;a > b;b > 0;e: Number;alpha: Number;beta: Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = e ;e = 1/2;LeftVertex(G) = A;RightVertex(G) = B;PointOnCurve(P, G);Negation(P = A);Negation(P = B);Inclination(LineOf(P, A)) = alpha;Inclination(LineOf(P, B)) = beta",
+      "coords": {}
+    },
+    {
+      "index": 1536,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1536.png",
+      "answer": "25/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;N: Point;F2: Point;M: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, LeftPart(C));L:Line;PointOnCurve(M, L);IsPerpendicular(L,OneOf(Asymptote(C)));FootPoint(L,OneOf(Asymptote(C)))=N;Min(Abs(LineSegmentOf(M,F2))+Abs(LineSegmentOf(M,N)))=10",
+      "coords": {}
+    },
+    {
+      "index": 1537,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1537.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "l: Line;C: Parabola;B: Point;P: Point;A: Point;Expression(C) = (y^2 = 8*x);Coordinate(P) = (-2, 0);PointOnCurve(P, l);Intersection(l, C) = {A, B};Quadrant(A) = 1;Quadrant(B) = 1;MidPoint(LineSegmentOf(P,B)) = A",
+      "coords": {
+        "P": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1538,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1538.png",
+      "answer": "{3,1/3}",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;Expression(G) = (-y^2/n + x^2/m = 1);Eccentricity(G) = 2;Negation(m*n=0)",
+      "coords": {}
+    },
+    {
+      "index": 1539,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1540,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1540.png",
+      "answer": "-b^2/a^2",
+      "fact_expr": "P: Point;A: Point;G: Ellipse;a: Number;b: Number;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Endpoint(MinorAxis(G)) = {A, B};PointOnCurve(P, G);Negation(P = A);Negation(P = B)",
+      "coords": {}
+    },
+    {
+      "index": 1541,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1542,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1542.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;H: Line;Expression(H) = (m - m*y + x = 0);PointOnCurve(Focus(G), H);m: Number;Intersection(H, G) = {A, B};O: Origin;A: Point;B: Point;Area(TriangleOf(O, A, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1543,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1543.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);F1: Point;LeftFocus(G) = F1;PointOnCurve(F1, LineOf(A, B)) = True;Inclination(LineOf(A, B)) = pi/6;A: Point;B: Point;Intersection(LineOf(A, B), LeftPart(G)) = A;Intersection(LineOf(A, B), RightPart(G)) = B;IsChordOf(LineSegmentOf(A, B), G) = True",
+      "coords": {}
+    },
+    {
+      "index": 1544,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1545,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1545.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = -8*x);PointOnCurve(P, G);Distance(P, yAxis) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1546,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1547,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1548,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1548.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;y1: Number;y2: Number;Coordinate(A) = (2, y1);Coordinate(B) = (1/2, y2);PointOnCurve(A, G);PointOnCurve(B, G);Quadrant(A) = 1;Quadrant(B) = 4;Abs(LineSegmentOf(A, F)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1549,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1549.png",
+      "answer": "y=pm*((4/3)*x)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Distance(F2, LineOf(P, F1)) = Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 1550,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1550.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 2*y^2 = 2);H: Line;PointOnCurve(Focus(G), H) = True;Inclination(H) = ApplyUnit(45, degree);A: Point;B: Point;Intersection(H,G) = {A,B};O: Origin;Center(G) = O",
+      "coords": {}
+    },
+    {
+      "index": 1551,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1551.png",
+      "answer": "",
+      "fact_expr": "G: Ellipse;F2: Point;B: Point;F1: Point;A: Point;Expression(G) = (x^2/3 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(F1, A) = 5*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 1552,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1552.png",
+      "answer": "1",
+      "fact_expr": "l: Line;E: Parabola;F: Point;A: Point;B: Point;Expression(E) = (y^2 = 4*x);Focus(E) = F;PointOnCurve(F, l);Intersection(l, E) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1553,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1553.png",
+      "answer": "{(2, 3), sqrt(13)}",
+      "fact_expr": "G: Ellipse;C: Curve;m: Real;Expression(G) = (x^2/9 + y^2/4 = 1);m>0;Expression(C) = (Abs(x) + Abs(y) = m);NumIntersection(C, G) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1554,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1554.png",
+      "answer": "(1,2)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;A: Point;B: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (1, 2);Coordinate(B) = (-1, 2);IsPerpendicular(VectorOf(A,P),VectorOf(B,P));NumIntersection(Asymptote(G),Locus(P))=0",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ],
+        "B": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1555,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1555.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(F, P1), LineSegmentOf(F, P2))",
+      "coords": {}
+    },
+    {
+      "index": 1556,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.47213595499958,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1556.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/20 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1557,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1558,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1558.png",
+      "answer": "3*sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);N: Point;Coordinate(N) = (2, 0);H: Line;PointOnCurve(N, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, N))/Abs(LineSegmentOf(B, N)) = 2",
+      "coords": {
+        "N": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1559,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1559.png",
+      "answer": "[sqrt(5)/5,sqrt(3)/3]",
+      "fact_expr": "Gamma: Ellipse;a: Number;b: Number;A: Point;F1: Point;F2: Point;B: Point;a > b;b > 0;lambda:Number;In(lambda,[2,3]);Expression(Gamma) = (x^2/a^2 + y^2/b^2 = 1);LeftFocus(Gamma) = F1;RightFocus(Gamma) = F2;PointOnCurve(A, Gamma);PointOnCurve(B, Gamma);DotProduct(VectorOf(A,F1),VectorOf(F1,F2))=0;VectorOf(A,F2)=lambda*VectorOf(F2,B)",
+      "coords": {}
+    },
+    {
+      "index": 1560,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1560.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;Expression(G) = (x^2/2 + y^2 = 1);Slope(H)=1;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1561,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1561.png",
+      "answer": "x = -1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x)",
+      "coords": {}
+    },
+    {
+      "index": 1562,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1562.png",
+      "answer": "y=2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -8*y)",
+      "coords": {}
+    },
+    {
+      "index": 1563,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1563.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x + y + 2 = 0);Intersection(H,xAxis) = A;Intersection(H,yAxis) = B;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1564,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1565,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1565.png",
+      "answer": "sqrt(11)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/7 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1566,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1566.png",
+      "answer": "pm*(4/3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, RightPart(G));F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;O: Origin;H: Circle;A: Point;TangentPoint(LineOf(P, F1), H) = A;Center(H) = O;Radius(H) = a;PointOnCurve(F2, PerpendicularBisector(LineSegmentOf(P, F1)))",
+      "coords": {}
+    },
+    {
+      "index": 1567,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1567.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/3 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);LineSegmentOf(P, F1) = 2*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1568,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1569,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1570,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 25.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1570.png",
+      "answer": "(25, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 100*x)",
+      "coords": {}
+    },
+    {
+      "index": 1571,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1571.png",
+      "answer": "x^2+y^2/2=1",
+      "fact_expr": "G: Ellipse;O: Origin;P: Point;Q:Point;Expression(G) = (x^2/4 + y^2/8 = 1);PointOnCurve(P, G);MidPoint(LineSegmentOf(O,P))=Q",
+      "coords": {}
+    },
+    {
+      "index": 1572,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1572.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1573,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1573.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;M: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Inclination(H)=ApplyUnit(45,degree);Intersection(H, RightPart(G)) = M;IsPerpendicular(LineSegmentOf(M,F2),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1574,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1574.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;F: Point;N: Point;M: Point;l: Line;lambda:Number;lambda>0;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(M, C);PointOnCurve(N, l);VectorOf(F, N) = lambda*VectorOf(F, M);Abs(LineSegmentOf(M, F)) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 1575,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1576,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1576.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Slope(G) = 1;Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1577,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1577.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (-x^2 + y^2/3 = 1);Expression(H) = (x^2 = 8*y)",
+      "coords": {}
+    },
+    {
+      "index": 1578,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.5,
+        "b": 0.8660254037844386,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1578.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "l: Line;G: Hyperbola;H: Ellipse;P: Point;Expression(G) = (12*x^2 - 4*y^2 = 3);Expression(l) = (y = x + 3);PointOnCurve(P, l);PointOnCurve(P, H);Focus(G) = Focus(H);WhenMin(MajorAxis(H))",
+      "coords": {}
+    },
+    {
+      "index": 1579,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1579.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "A: Point;B: Point;E: Ellipse;Expression(E) = (y^2 + x^2/m = 1);m: Number;m > 1;Vertex(MinorAxis(E)) = {A, B};P: Point;PointOnCurve(P, E) = True;Negation(P = A);Negation(P = B);Slope(LineOf(A, P))*Slope(LineOf(B, P)) = -m/4",
+      "coords": {}
+    },
+    {
+      "index": 1580,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1580.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;PointOnCurve(P, G);Distance(P, xAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1581,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1581.png",
+      "answer": "(-sqrt(10)/2,-sqrt(2)/2)+(-sqrt(2)/2,sqrt(2)/2)+(sqrt(2)/2,sqrt(10)/2)",
+      "fact_expr": "l: Line;C: Hyperbola;Expression(C) = (x^2/2 - y^2 = 1);Expression(l)=(y=k*x+2);NumIntersection(l,C)=2;k:Number",
+      "coords": {}
+    },
+    {
+      "index": 1582,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1582.png",
+      "answer": "pm*3*y+4*x=0",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G)=(x^2/25+y^2/16=1);Focus(C)=Endpoint(MajorAxis(G));Endpoint(RealAxis(C))=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1583,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1583.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1584,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1584.png",
+      "answer": "(1,sqrt(2)]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-4*x + x^2 + y^2 + 2 = 0);IsIntersect(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 1585,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1585.png",
+      "answer": "45/2",
+      "fact_expr": "A: Point;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);LeftVertex(G) = A;B: Point;PointOnCurve(B, G) = True;PointOnCurve(C, yAxis) = True;C: Point;Coordinate(C) = (0, 4)",
+      "coords": {
+        "C": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1586,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1586.png",
+      "answer": "4/5",
+      "fact_expr": "G: Ellipse;m: Number;m>0;Expression(G)=(y^2/9 + x^2/m^2 = 1);Coordinate(OneOf(Focus(G)))=(4,0)",
+      "coords": {}
+    },
+    {
+      "index": 1587,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1587.png",
+      "answer": "12*sqrt(6)",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/8 = 1);Coordinate(A) = (0, 6*sqrt(6));RightFocus(C) = F;PointOnCurve(P, LeftPart(C));WhenMin(Perimeter(TriangleOf(A,P,F)))",
+      "coords": {
+        "A": [
+          0.0,
+          14.696938456699067
+        ]
+      }
+    },
+    {
+      "index": 1588,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1588.png",
+      "answer": "(-6, -6)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -2*p*y);p: Number;p>0;F: Point;Coordinate(F) = (0, -3);Focus(G) = F;H: Line;Expression(H) = (y = x)",
+      "coords": {
+        "F": [
+          0.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 1589,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1589.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = e ;e: Number;e = 2",
+      "coords": {}
+    },
+    {
+      "index": 1590,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1590.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;O: Origin;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(P,G);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1591,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1592,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1593,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -4.0,
+          0.0
+        ],
+        "radius": 13.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1593.png",
+      "answer": "x^2/64+y^2/48=1",
+      "fact_expr": "M: Circle;Expression(M) = (y^2 + (x - 4)^2 = 169);N: Circle;Expression(N) = (y^2 + (x + 4)^2 = 9);P: Circle;IsInTangent(P,M) = True;IsOutTangent(P,N) = True;P1: Point;Center(P) = P1",
+      "coords": {}
+    },
+    {
+      "index": 1594,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1594.png",
+      "answer": "-1",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (x^2/6 + y^2/3 = 1);Focus(G) = {F1, F2};A: Point;B: Point;LeftVertex(G) = A;UpperVertex(G) = B;P: Point;PointOnCurve(P, LineSegmentOf(A, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1595,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1595.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;G: Line;F2: Point;M: Point;N: Point;F1: Point;Expression(C) = (x^2/3 + y^2/4 = 1);Focus(C) = {F1, F2};PointOnCurve(F1,G);Intersection(G,C) = {M,N}",
+      "coords": {}
+    },
+    {
+      "index": 1596,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1596.png",
+      "answer": "5",
+      "fact_expr": "A: Point;Coordinate(A) = (-1, 1);C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);M: Point;PointOnCurve(M, C) = True;F: Point;RightFocus(C) = F",
+      "coords": {
+        "A": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1597,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1598,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1598.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);Focus(C) = Focus(G);Expression(OneOf(Asymptote(C))) = (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1599,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1600.png",
+      "answer": "(3 + pm*sqrt(5))/4",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 3;YCoordinate(MidPoint(LineSegmentOf(A, B))) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 1601,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1601.png",
+      "answer": "(1+sqrt(145))/18",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;A: Point;B: Point;PointOnCurve(F2, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(F1, F2));Abs(LineSegmentOf(F1, A)) = 1/2*Abs(LineSegmentOf(F1, B))",
+      "coords": {}
+    },
+    {
+      "index": 1602,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1602.png",
+      "answer": "(0,1/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/2)",
+      "coords": {}
+    },
+    {
+      "index": 1603,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1604,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1604.png",
+      "answer": "4",
+      "fact_expr": "E: Ellipse;G: Line;m: Number;F1: Point;A: Point;B: Point;Expression(E) = (x^2/25 + y^2/9 = 1);Expression(G) = (x = m);LeftFocus(E) = F1;Intersection(G, E) = {A, B};WhenMax(Perimeter(TriangleOf(F1,A,B)))",
+      "coords": {}
+    },
+    {
+      "index": 1605,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1606,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1606.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;e: Number;H: Line;A: Point;P: Point;B: Point;C: Point;Q: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = e ;e = 1/2;PointOnCurve(Center(G), H);Intersection(H, G) = {A, B};Quadrant(A) = 1;Z: Line;PointOnCurve(A, Z);IsPerpendicular(Z, xAxis);Intersection(Z, G) = C;PointOnCurve(A, LineOf(A, P));IsPerpendicular(LineOf(A, P), LineSegmentOf(A, B));Intersection(LineOf(A, P), G) = P;Intersection(LineSegmentOf(B, P), LineSegmentOf(A, C)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 1607,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "y",
+        "x_coef": 16.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1607.png",
+      "answer": "(0,pm*3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/25 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1608,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1609,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1609.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) ={F1,F2};PointOnCurve(P, G);AngleOf(F1,P,F2)=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 1610,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1610.png",
+      "answer": "16",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(C)=Focus(G);Expression(LeftDirectrix(C))=(x=-1);P: Point;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,RightPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 1611,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1611.png",
+      "answer": "[2*sqrt(2) - 3, 56/9]",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x - 1)^2 = 1);G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, G);L1: Line;L2: Line;TangentPoint(L1, C) = A;TangentPoint(L2, C) = B;A: Point;B: Point;TangentOfPoint(P, C) = {L1, L2}",
+      "coords": {}
+    },
+    {
+      "index": 1612,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1612.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(G) = 2*sqrt(5);Length(RealAxis(G)) = 2*Length(ImageinaryAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 1613,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1613.png",
+      "answer": "y=pm*(x/2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/16 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1614,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1614.png",
+      "answer": "[sqrt(7)/4, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/9 + x^2/a = 1);a: Number;a>9;H: Line;Expression(H) = (x - sqrt(3)*y = 0);Negation(Distance(OneOf(Vertex(MajorAxis(G))),H) < 2)",
+      "coords": {}
+    },
+    {
+      "index": 1615,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1615.png",
+      "answer": "5/6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;H: Line;A: Point;B: Point;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 25/12;Abs(LineSegmentOf(A, F)) < Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 1616,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1616.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(OneOf(Focus(G))) = (m, 0);Coordinate(P) = (m, 2*m);PointOnCurve(P, G);m:Number;m>0",
+      "coords": {}
+    },
+    {
+      "index": 1617,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1617.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (x^2/7 - y^2/m = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1618,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1618.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;M: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(M, G);Distance(M, RightDirectrix(G)) = 20/3",
+      "coords": {}
+    },
+    {
+      "index": 1619,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1620,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1620.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;P: Point;O: Origin;Negation(P=O);PointOnCurve(P, G);H: Line;PointOnCurve(P, H);Z: Parabola;Expression(Z) = (y^2 = 8*p*x);A: Point;B: Point;Intersection(H, Z)={A, B};Q: Point;Intersection(LineOf(O,P), Z)={P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 1621,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1621.png",
+      "answer": "5",
+      "fact_expr": "l: Line;C: Hyperbola;P: Point;F1: Point;Q: Point;Expression(C) = (x^2/4 - y^2 = 1);PointOnCurve(P, RightPart(C));OneOf(Asymptote(C))=l;Projection(P,l)=Q;LeftFocus(C)=F1",
+      "coords": {}
+    },
+    {
+      "index": 1622,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/test/hyperbola/problem_1622.png",
+      "answer": "(pm*2, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/b^2 = 1);b: Number;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1623,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1623.png",
+      "answer": "32/15",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);A: Point;RightVertex(G) = A;RightFocus(G) = F;F: Point;PointOnCurve(F, H) = True;IsParallel(H, OneOf(Asymptote(G))) = True;H: Line;Intersection(H, G) = B;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1624,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1624.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "O: Origin;Center(H) = O;H: Ellipse;PointOnCurve(I, H);I: Point;Coordinate(I) = (2, -3);G: Parabola;Expression(G) = (y^2 = 8*x);OneOf(Focus(H)) = Focus(G)",
+      "coords": {
+        "I": [
+          2.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 1625,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1626,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1627,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5773502691896257,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.3333333333333333
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1627.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 3*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1628,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1628.png",
+      "answer": "y^2/12-x^2/18=1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;M: Point;Expression(G) = (x^2/3 - y^2/2 = 1);Coordinate(M) = (2*sqrt(3), 2*sqrt(5));Asymptote(G) = Asymptote(C);PointOnCurve(M,C)",
+      "coords": {
+        "M": [
+          3.4641016151377544,
+          4.47213595499958
+        ]
+      }
+    },
+    {
+      "index": 1629,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1629.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;p: Number;E: Point;O: Origin;M: Point;F: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(M, G);Focus(G) = F;L:Line;PointOnCurve(M, L);IsPerpendicular(L, l);FootPoint(L, l)=E;Abs(LineSegmentOf(E, O)) = Abs(LineSegmentOf(M, F));XCoordinate(M) = 3;Directrix(G)=l",
+      "coords": {}
+    },
+    {
+      "index": 1630,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1630.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/b^2 - y^2/a^2 = 1);b: Number;a: Number;l1: Line;l2: Line;Asymptote(G) = {l1, l2};IsPerpendicular(l1, l2)",
+      "coords": {}
+    },
+    {
+      "index": 1631,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1631.png",
+      "answer": "14/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (5*x^2 - 4*y^2 = 20);P: Point;PointOnCurve(P, G) = True;Distance(P, RightFocus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1632,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1632.png",
+      "answer": "[3/5, 3/4]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;Coordinate(F) = (0, -3);OneOf(Focus(G)) = F;A: Point;Coordinate(A) = (0, 2);P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)) = 9",
+      "coords": {
+        "F": [
+          0.0,
+          -3.0
+        ],
+        "A": [
+          0.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1633,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1633.png",
+      "answer": "100/3",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/16 = 1);G: Parabola;Center(H) = Vertex(G);LeftDirectrix(H) = Directrix(G);Intersection(G,RightDirectrix(H)) = {A,B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1634,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1634.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1635,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1635.png",
+      "answer": "x^2/4-y^2/12=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Focus(G)=Focus(H);Eccentricity(G)=2",
+      "coords": {}
+    },
+    {
+      "index": 1636,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1636.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);Distance(P, LeftFocus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1637,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_1637.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;Q: Point;F1: Point;M: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (-sqrt(2), -sqrt(3));Coordinate(Q) = (sqrt(15)/3, sqrt(2));PointOnCurve(P,C);PointOnCurve(Q,C);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M,C);AngleOf(F1, M, F2) = ApplyUnit(120, degree)",
+      "coords": {
+        "P": [
+          -1.4142135623730951,
+          -1.7320508075688772
+        ],
+        "Q": [
+          1.2909944487358056,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1638,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1638.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C1) = F1;RightFocus(C1) = F2;PointOnCurve(F1, l) = True;Intersection(l, RightPart(C1)) = P;l: Line;P: Point;IsPerpendicular(LineSegmentOf(P, F2), xAxis) = True;Sin(AngleOf(P, F1, F2)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 1639,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1639.png",
+      "answer": "8*sqrt(5)/5",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G) = True;l: Line;Expression(l) = (x + 2*y - 12 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1640,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          2.0
+        ],
+        "radius": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1640.png",
+      "answer": "y^2/9 + x^2/5 = 1",
+      "fact_expr": "C1: Circle;Expression(C1) = (-4*y + x^2 + y^2 - 32 = 0);B: Point;PointOnCurve(B, C1);A: Point;Coordinate(A) = (0, -2);C: Point;Center(C1) = C;P: Point;Intersection(PerpendicularBisector(LineSegmentOf(A,B)), LineSegmentOf(B, C)) = P;Locus(P) = E;E: Curve",
+      "coords": {}
+    },
+    {
+      "index": 1641,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1641.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F2: Point;F1: Point;Z: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;PointOnCurve(F1, Z);IsPerpendicular(Z, xAxis);Intersection(Z, G) = P;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1642,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1642.png",
+      "answer": "1/2\n{((2*sqrt(2))*x-y-4*sqrt(2)=0), ((2*sqrt(2))*x+y-4*sqrt(2)=0)}",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 8*x);F: Point;Focus(E) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, E) = {A, B};VectorOf(A,B) = 3*VectorOf(F,B)",
+      "coords": {}
+    },
+    {
+      "index": 1643,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1643.png",
+      "answer": "8*x+25*y-58=0",
+      "fact_expr": "M: Point;Coordinate(M) = (1, 2);l: Line;PointOnCurve(M, l);G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1644,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1645,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 7.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1645.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;F1: Point;M: Point;F2: Point;O: Origin;Expression(G) = (x^2/7 + y^2/3 = 1);PointOnCurve(M, G);Focus(G) = {F1, F2};2*LineSegmentOf(M, O) = LineSegmentOf(F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1646,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          4.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1646.png",
+      "answer": "9",
+      "fact_expr": "G: Circle;C:Circle;H: Curve;P: Point;M: Point;N: Point;Expression(H)=(sqrt((x+4)^2+y^2)+sqrt((x-4)^2+y^2)=12);Expression(G) = (y^2 + (x + 4)^2 = 4);Expression(C) = (y^2 + (x - 4)^2 = 1);PointOnCurve(P,H);PointOnCurve(M, G);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 1647,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1647.png",
+      "answer": "1/4",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Number;p>0;M: Point;Coordinate(M) = (1, m);m: Number;PointOnCurve(M, H);Distance(M, Focus(H)) = 5;G: Hyperbola;Expression(G) = (x^2 - y^2/a = 1);a: Real;A: Point;LeftVertex(G) = A;IsPerpendicular(OneOf(Asymptote(G)), LineOf(A, M))",
+      "coords": {}
+    },
+    {
+      "index": 1648,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1648.png",
+      "answer": "(4,2)",
+      "fact_expr": "H: Line;Expression(H) = (x - y = 2);G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1649,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1650,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1650.png",
+      "answer": "{2,-14}",
+      "fact_expr": "G: Parabola;a: Real;H: Circle;Expression(G) = (y^2 = 2*(a*x));Expression(H) = (y^2 + (x - 3)^2 = 16);IsTangent(Directrix(G),H);Negation(a=0)",
+      "coords": {}
+    },
+    {
+      "index": 1651,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1651.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;O:Origin;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);L:Line;PointOnCurve(RightVertex(C),L);IsPerpendicular(xAxis,L);Intersection(L,OneOf(Asymptote(C)))=A;RightFocus(C)=Center(G);Radius(G)=4;PointOnCurve(A,G);PointOnCurve(O,G)",
+      "coords": {}
+    },
+    {
+      "index": 1652,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1653,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1653.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;F: Point;H:Line;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(P,G);PointOnCurve(P,H);IsPerpendicular(H,Directrix(G));FootPoint(H,Directrix(G))=Q;AngleOf(Q, P, F) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1654,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1654.png",
+      "answer": "a^2*b^2/(b^2-a^2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;b > a;a > 0;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);O: Origin;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B))",
+      "coords": {}
+    },
+    {
+      "index": 1655,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1655.png",
+      "answer": "1/2",
+      "fact_expr": "O: Point;Vertex(G)=O;F: Point;Focus(G) =F;G: Parabola;Expression(G) = (y = x^2/2);H: Line;PointOnCurve(F,H);A: Point;B: Point;Intersection(H,G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1656,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_1656.png",
+      "answer": "x^2/9-y^2/16=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/49 + y^2/24 = 1);Focus(G)=Focus(H);Expression(Asymptote(G))=(y=pm*(4/3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1657,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1657.png",
+      "answer": "x^2+y^2=4/3",
+      "fact_expr": "l: Line;Gamma: Ellipse;H: Circle;O: Origin;P: Point;Q: Point;Expression(Gamma)=(x^2/4+y^2/2=1);Intersection(l,Gamma) = {P, Q};IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(O, Q));Center(H)=O;IsTangent(l,H)",
+      "coords": {}
+    },
+    {
+      "index": 1658,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1658.png",
+      "answer": "(1/2,2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);Focus(G) = F;F: Point;A: Point;Coordinate(A) = (1, 2);P: Point;PointOnCurve(P, G) = True;WhenMin(Perimeter(TriangleOf(P,A,F))) = True",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1659,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1659.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Hyperbola;H: Line;m: Number;A: Point;B: Point;Expression(G) = (x^2 - y^2/4 = 1);Expression(H) = (y = m + x);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = sqrt(2)*(8/3)",
+      "coords": {}
+    },
+    {
+      "index": 1660,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1661,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/test/hyperbola/problem_1661.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/3 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(C) = sqrt(2);G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 1662,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1662.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (n*y^2 + x^2 = 1);n: Real;H: Ellipse;Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1663,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1664,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1664.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*2*sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1665,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1665.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Length(ImageinaryAxis(G))=2;FocalLength(G) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1666,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1666.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y - 2 = 0);Coordinate(MidPoint(LineSegmentOf(A, B))) = (m, 1/2);Intersection(G, H) = {A, B};Abs(LineSegmentOf(A, B)) = sqrt(5);m:Number",
+      "coords": {}
+    },
+    {
+      "index": 1667,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1668,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1668.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "C: Parabola;p: Number;lambda:Number;T: Point;P: Point;F: Point;Q: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Intersection(Directrix(C),xAxis)=T;PointOnCurve(P,C);PointOnCurve(Q,C);IsTangent(LineOf(T,P),C);VectorOf(T, P) = lambda*VectorOf(F, Q);lambda>0",
+      "coords": {}
+    },
+    {
+      "index": 1669,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1669.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;H: Ellipse;Expression(H) = (x^2/8 + y^2/4 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1670,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1671,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.9970735311508179,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 2.85904548036342e-06,
+        "converged": true,
+        "iterations": 88
+      },
+      "output_path": "results/test/parabola/problem_1671.png",
+      "answer": "4\nx=-2",
+      "fact_expr": "G: Parabola;p: Number;H: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (2, -4);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 1672,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1673,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1674,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1674.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;H: Point;m: Number;Coordinate(H) = (m, 3);PointOnCurve(H, G);Distance(H, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1675,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1675.png",
+      "answer": "(4*x^2-4*y^2/15=1)&(x<=-1/2)",
+      "fact_expr": "M: Circle;C1:Circle;C2:Circle;Expression(C1)=((x+2)^2+y^2=1);Expression(C2)=((x-2)^2+y^2=4);IsOutTangent(M,C1);IsOutTangent(M,C2)",
+      "coords": {}
+    },
+    {
+      "index": 1676,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1676.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Inclination(H)=(3/4)*pi;Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 1677,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1678,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1678.png",
+      "answer": "[1/2, 1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b + x^2/a = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;K: Point;PointOnCurve(K, C);d: Number;Max(Distance(K, F)) = d;P: Point;PointOnCurve(P, RightDirectrix(C));LineSegmentOf(P, F) = d",
+      "coords": {}
+    },
+    {
+      "index": 1679,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1679.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G) = True;F1: Point;OneOf(Focus(G)) = F1;Distance(P, F1) = 2;M: Point;MidPoint(LineSegmentOf(P, F1)) = M;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1680,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1680.png",
+      "answer": "{5/3, 5/4}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/n + x^2/m = 1);m: Number;n: Number;Expression(OneOf(Asymptote(G))) = (y = (4/3)*x);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1681,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1681.png",
+      "answer": "(1, 2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1682,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1683,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1683.png",
+      "answer": "5*sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;N: Point;F: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C)=F;PointOnCurve(F,l);Intersection(l,C)={M,N};VectorOf(M, F) = 4*VectorOf(F, N);Area(TriangleOf(O,M,N))=sqrt(3)*Abs(LineSegmentOf(M,N))",
+      "coords": {}
+    },
+    {
+      "index": 1684,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1684.png",
+      "answer": "y=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 1685,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1685.png",
+      "answer": "-12",
+      "fact_expr": "l: Line;G: Ellipse;B: Point;A: Point;M: Point;Expression(G) = (x^2/16 + y^2/8 = 1);Coordinate(M) = (1, 1);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = M;k:Number;Slope(l)=k",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1686,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1686.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;L: Line;F2: Point;P: Point;Q: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1,L);Intersection(L, G) = {P, Q};TangentPoint(InscribedCircle(TriangleOf(P,F2,Q)),LineSegmentOf(P,F2))=MidPoint(LineSegmentOf(P,F2));TangentPoint(InscribedCircle(TriangleOf(P,F2,Q)),LineSegmentOf(P,Q))=F1",
+      "coords": {}
+    },
+    {
+      "index": 1687,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1687.png",
+      "answer": "x^2/4+y^2/2=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;Coordinate(F) = (sqrt(2), 0);RightFocus(C) = F;G: Line;PointOnCurve(F, G);IsPerpendicular(G, xAxis);Length(InterceptChord(G, C)) = 2",
+      "coords": {
+        "F": [
+          1.4142135623730951,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1688,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1688.png",
+      "answer": "[3/8,3/4]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A1: Point;A2: Point;LeftVertex(C) = A1;RightVertex(C) = A2;P: Point;PointOnCurve(P, C) = True;Range(Slope(LineOf(P, A1))) = [-2, -1]",
+      "coords": {}
+    },
+    {
+      "index": 1689,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1689.png",
+      "answer": "sqrt(2) + 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;O: Origin;Q: Point;F: Point;x0: Number;y0: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(Q) = (x0, y0);RightFocus(C) = F;Quadrant(P) = 1;PointOnCurve(P, C);a*y0 + b*x0 = 0;PerpendicularBisector(LineSegmentOf(O, P)) = LineSegmentOf(Q, F);PerpendicularBisector(LineSegmentOf(Q, F)) = LineSegmentOf(O, P)",
+      "coords": {}
+    },
+    {
+      "index": 1690,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1690.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Number;a>0;Expression(Asymptote(G)) = (3*x + pm*2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1691,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1691.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;PointOnCurve(F, l) = True;Slope(l) = -1;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1692,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1692.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 1693,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1694,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1694.png",
+      "answer": "(x-1)^2+y^2=4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Circle;Focus(G) = Center(H);Radius(H) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1695,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1695.png",
+      "answer": "6",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;O: Origin;Coordinate(F) = (1, 0);Vertex(C) = O;Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Coordinate(MidPoint(LineSegmentOf(A, B)))= (2,m);IsChordOf(LineSegmentOf(A, B),C);m:Number",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1696,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1697,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1697.png",
+      "answer": "19/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/2);P: Point;PointOnCurve(P, G);M: Point;Projection(P, xAxis) = M;A: Point;Coordinate(A) = (6, 17/2)",
+      "coords": {
+        "A": [
+          6.0,
+          8.5
+        ]
+      }
+    },
+    {
+      "index": 1698,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1698.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Eccentricity(G) = 2;M: Point;PointOnCurve(M,LeftPart(G)) = True;L: Line;PointOnCurve(M,L) = True;IsParallel(L,xAxis) = True;Intersection(L,Asymptote(G)) = {P,Q};P: Point;Q: Point;Abs(LineSegmentOf(M, Q))*Abs(LineSegmentOf(P, M)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1699,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "y",
+        "x_coef": 5.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1699.png",
+      "answer": "10",
+      "fact_expr": "C: Ellipse;M: Point;F1: Point;F2: Point;Expression(C) = (x^2/5 + y^2/9 = 1);PointOnCurve(M, C);Focus(C) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 1700,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1701,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1701.png",
+      "answer": "(sqrt(6)-sqrt(2))/4",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;P: Point;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(A) = (-2, 1);Coordinate(B) = (2, 1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ],
+        "B": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1702,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1702.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Area(TriangleOf(P, F1, F2)) = 2*a*b;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1703,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1704,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1705,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1705.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Z1: Line;Z2: Line;OneOf(Asymptote(C)) = Z1;OneOf(Asymptote(C)) = Z2;Negation(Z1=Z2);IsPerpendicular(Z1, Z2);Distance(Vertex(C), Z1) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1706,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1706.png",
+      "answer": "x^2/4-y^2/12=1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;FocalLength(C) = 8;M: Point;Coordinate(M) = (1, sqrt(3));PointOnCurve(M, Asymptote(C))",
+      "coords": {
+        "M": [
+          1.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 1707,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1707.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;B: Point;LeftVertex(C) = A;RightVertex(C) = B;P: Point;Negation(P=A);Negation(P=B);PointOnCurve(P, C);m: Number;n: Number;Slope(LineOf(A, P)) = m;Slope(LineOf(B, P)) = n;WhenMin((a/b)*(3 - 2/(3*m*n)) + 2/(m*n) + 3*(ln(Abs(m)) + ln(Abs(n))))",
+      "coords": {}
+    },
+    {
+      "index": 1708,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1708.png",
+      "answer": "3",
+      "fact_expr": "E: Hyperbola;Expression(E) = (x^2/4 - y^2/b^2 = 1);Eccentricity(E) = 2;b: Number;b>0;P: Point;PointOnCurve(P, E) = True;A1: Line;A2: Line;Asymptote(E) = {A1, A2}",
+      "coords": {}
+    },
+    {
+      "index": 1709,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1710,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1710.png",
+      "answer": "25",
+      "fact_expr": "G: Ellipse;m: Number;P: Point;F1:Point;F2:Point;Expression(G) = (y^2/16 + x^2/m = 1);Distance(P, F1) = 3;Distance(P, F2) = 7;PointOnCurve(P, G);OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 1711,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1711.png",
+      "answer": "x=-1\n{(4,4),(4,-4)}",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1712,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1713,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1714,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1714.png",
+      "answer": "{x+3*y-2=0,x-y+2=0}",
+      "fact_expr": "m: Line;G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (x^2 = y);Coordinate(P) = (-1, 1);PointOnCurve(P, m);Intersection(m, xAxis) = A;PointOnCurve(B,G);IsPerpendicular(LineSegmentOf(P,A),LineSegmentOf(P,B));IsTangent(LineSegmentOf(A, B), G)",
+      "coords": {
+        "P": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1715,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1716,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1717,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1717.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 6*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;Intersection(l, C) = A;B: Point;Intersection(l, Directrix(C)) = B;VectorOf(F, B) = 3*VectorOf(F, A);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1718,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1718.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;UpperVertex(G) = A;Intersection(PerpendicularBisector(LineSegmentOf(A, F2)), G) = B;PointOnCurve(F1,LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 1719,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1720,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1720.png",
+      "answer": "x^2/4-y^2/5=1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/12 + y^2/3 = 1);Focus(G) = Focus(C);Expression(OneOf(Asymptote(C))) = (y = x*(sqrt(5)/2))",
+      "coords": {}
+    },
+    {
+      "index": 1721,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1721.png",
+      "answer": "10",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/3 = 1);Coordinate(A) = (0, 2*sqrt(3));RightFocus(C) = F;PointOnCurve(P, LeftPart(C))",
+      "coords": {
+        "A": [
+          0.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 1722,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1723,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1724,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1724.png",
+      "answer": "x^2/10+y^2/4=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;I: Point;Expression(G) = (x^2/5 - y^2 = 1);Coordinate(I) = (0, -2);Focus(G)=Focus(H);PointOnCurve(I, H)",
+      "coords": {
+        "I": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 1725,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1725.png",
+      "answer": "2*pi/3\n2*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1726,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1726.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1727,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/test/hyperbola/problem_1727.png",
+      "answer": "pm*1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;H: Line;m: Number;B: Point;A: Point;a>0;b>0;a=1;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = 5);Expression(H) = (m + x - y = 0);Eccentricity(C) = sqrt(3);Intersection(H, C) = {A, B};PointOnCurve(MidPoint(LineSegmentOf(A,B)),G);Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 1728,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1728.png",
+      "answer": "y = 2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 1729,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1729.png",
+      "answer": "x^2/16+y^2/9=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Length(MajorAxis(C)) = 8;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 1730,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1730.png",
+      "answer": "",
+      "fact_expr": "l: Line;G: Parabola;F: Point;M: Point;N: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(Directrix(G), xAxis) = A;PointOnCurve(A, l);Intersection(l, G) = {M, N};A:Point",
+      "coords": {}
+    },
+    {
+      "index": 1731,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1731.png",
+      "answer": "(sqrt(5)+1)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;B: Point;O: Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A,G);PointOnCurve(B,G);c:Number;IsPerpendicular(LineSegmentOf(O,A),LineSegmentOf(O,B));Distance(O, LineOf(A,B)) = c",
+      "coords": {}
+    },
+    {
+      "index": 1732,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1732.png",
+      "answer": "(0, pm*sqrt(2))",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1733,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 6.324555320336759,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 40.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1733.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Ellipse;A: Point;M: Point;P: Point;Expression(G) = (x^2/49 + y^2/40 = 1);PointOnCurve(P,G);Coordinate(A) = (3, 0);Abs(VectorOf(A, M)) = 1;DotProduct(VectorOf(P, M), VectorOf(A, M)) = 0",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1734,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.825101613998413,
+        "b": 2.34489402930029,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.7647765222287931e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/test/ellipse/problem_1734.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (2, 3);Coordinate(OneOf(Focus(C))) = (2,0);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1735,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1735.png",
+      "answer": "3/8",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;l: Line;PointOnCurve(F, l) = True;Expression(l) = (y = sqrt(3)*(-2*a + x));A: Point;Intersection(l,RightPart(C)) = A;B: Point;Intersection(l,yAxis) = B;Area(TriangleOf(O, B, F)) = 8*sqrt(3);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1736,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1736.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;C: Point;D: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (2, 0);Focus(G) = F;PointOnCurve(P, H);Intersection(H, G) = {A, B};Intersection(LineOf(A, F), G) = C;Intersection(LineOf(B, F), G) = D;Slope(LineOf(A, B)) = k1;Slope(LineOf(C, D)) = k2;k1: Number;k2: Number",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1737,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1738,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1738.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);l1: Line;Expression(l1) = (4*x - 3*y - 7 = 0);l2: Line;Expression(l2) = (y = -1)",
+      "coords": {}
+    },
+    {
+      "index": 1739,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1739.png",
+      "answer": "(pm*2, 0)\ny = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = 2;Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1740,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1740.png",
+      "answer": "(0, 2]+[8, +oo)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/m = 1);m: Number;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1741,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1741.png",
+      "answer": "5",
+      "fact_expr": "M: Point;PointOnCurve(M, G) = True;G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;PointOnCurve(A, H) = True;H: Circle;Expression(H) = ((x - 5)^2 + (y + 1)^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1742,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1742.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;Intersection(Directrix(G), xAxis) = P;H: Line;PointOnCurve(P, H);k: Number;Slope(H) = k;k>0;A: Point;B: Point;Intersection(H, G) = {A, B};F: Point;Focus(G) = F;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 1743,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1743.png",
+      "answer": "-b^2/a^2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;N: Point;Endpoint(RealAxis(G)) = {M, N};Q: Point;PointOnCurve(Q, G);Negation(Q=M);Negation(Q=N);alpha: Number;AngleOf(Q, M, N) = alpha;beta: Number;AngleOf(Q, N, M) = beta",
+      "coords": {}
+    },
+    {
+      "index": 1744,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1744.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;O: Origin;A: Point;F2: Point;F1: Point;a: Number;b: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Quadrant(A) = 1;PointOnCurve(A, G);DotProduct(VectorOf(O, A), VectorOf(O, F2)) = Abs(VectorOf(O, F2))^2;Expression(LineOf(O, A)) = (y = x*(sqrt(2)/2))",
+      "coords": {}
+    },
+    {
+      "index": 1745,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          2.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1745.png",
+      "answer": "16",
+      "fact_expr": "C1: Circle;Expression(C1) = ((x - 2)^2 + (y - 2)^2 = 4);C2: Circle;Expression(C2) = ((x + 2)^2 + (y + 1)^2 = 2);A: Point;B: Point;P: Point;PointOnCurve(P, C1);IsChordOf(LineSegmentOf(A, B), C2);Abs(LineSegmentOf(A, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1746.png",
+      "answer": "1/2",
+      "fact_expr": "C: Hyperbola;O: Origin;N: Point;M: Point;Expression(C) = (x^2 - y^2 = 1);PointOnCurve(M, C);L:Line;PointOnCurve(M, L);IsPerpendicular(L, OneOf(Asymptote(C)));FootPoint(L, OneOf(Asymptote(C)))=N",
+      "coords": {}
+    },
+    {
+      "index": 1747,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1748,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1749,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1750,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 8.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1750.png",
+      "answer": "26",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/36 - y^2/64 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F2)) = 14",
+      "coords": {}
+    },
+    {
+      "index": 1751,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1751.png",
+      "answer": "y = pm*(3/2)*x",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;H: Circle;F: Point;A: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2);LeftFocus(G) = F;PointOnCurve(F, l);TangentPoint(l, H) = A;Intersection(l, RightPart(G)) = B;VectorOf(F, A) = (1/3)*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1752,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1752.png",
+      "answer": "1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/3 - y^2 = 1);F: Point;OneOf(Focus(C)) = F",
+      "coords": {}
+    },
+    {
+      "index": 1753,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1753.png",
+      "answer": "3",
+      "fact_expr": "F: Point;Focus(C) = F;C: Parabola;Expression(C) = (x^2 = 16*y);l: Line;Expression(l) = (y = -1);A: Point;PointOnCurve(A, C) = True;PointOnCurve(A,LineSegmentOf(A, P)) = True;IsPerpendicular(LineSegmentOf(A,P),l) = True;FootPoint(LineSegmentOf(A,P),l) = P;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 1754,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1755,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1756,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1756.png",
+      "answer": "-1",
+      "fact_expr": "C: Parabola;p: Number;A: Point;F: Point;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (-2, 4);PointOnCurve(A, Directrix(C));Focus(C) = F",
+      "coords": {
+        "A": [
+          -2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1757,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1758,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6277244091033936,
+        "b": 1.818325400352478,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.648646149187698e-07,
+        "converged": true,
+        "iterations": 99
+      },
+      "output_path": "results/test/hyperbola/problem_1758.png",
+      "answer": "y=pm*sqrt(5)*x/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Eccentricity(G) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 1759,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1760,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1760.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;P: Point;F: Point;p>0;Expression(G)=(y^2 = 2*p*x);Coordinate(P)=(6, y1);PointOnCurve(P,G);Focus(G)=F;Distance(P,F) = 8;y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 1761,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1761.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;A: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(A) = (0, 1)",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1762,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1762.png",
+      "answer": "sqrt(3) + 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));AngleOf(P, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1763,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1763.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = k*(x - 1));Coordinate(MidPoint(LineSegmentOf(A, B))) = (3/2, 1);Intersection(H, G) = {A, B};k:Number",
+      "coords": {}
+    },
+    {
+      "index": 1764,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1764.png",
+      "answer": "2/3",
+      "fact_expr": "F: Point;A: Point;LeftFocus(Gamma) = F;LowerVertex(Gamma) = A;Gamma: Ellipse;Expression(Gamma) = (x^2/2 + y^2 = 1);M: Point;x0: Number;y0: Number;Coordinate(M) = (x0, y0);Quadrant(M) = 1;PointOnCurve(M, Gamma);N: Point;Coordinate(N) = (0, 1/y0);H: Point;PointOnCurve(H, LineSegmentOf(F, M));Abs(VectorOf(F, H)) = Abs(VectorOf(A, H));DotProduct(VectorOf(F, H), VectorOf(N, H)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1765,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1765.png",
+      "answer": "2*x+y-3=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/4 = 1);P: Point;Coordinate(P) = (1, 1);H: LineSegment;PointOnCurve(P, H);IsChordOf(H, G);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1766,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1766.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;l1: Line;l2: Line;Expression(G) = (y = x^2/4);Expression(l1) = (3*x - 4*y - 6 = 0);Expression(l2) = (y = -1);P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1767,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1767.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;L: Line;PointOnCurve(F, L);Intersection(L, G) = {P, Q};P: Point;Q: Point;Length(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1768,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1768.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;k: Number;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = k*x - k);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 1769,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1769.png",
+      "answer": "7/2",
+      "fact_expr": "G: Ellipse;A: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/7 = 1);Focus(G) = {F1, F2};PointOnCurve(A, G);AngleOf(A, F1, F2) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1770,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1770.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "l: Line;G: Hyperbola;M: Point;N: Point;F2: Point;F1: Point;Expression(G) = (x^2/3 - y^2 = 1);RightFocus(G) = F2;LeftFocus(G)=F1;PointOnCurve(F1, l);Inclination(l) = ApplyUnit(60, degree);Intersection(l, G) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 1771,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1772,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1772.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;N: Point;Coordinate(N) = (4, 0);l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};G: Circle;IsDiameter(LineSegmentOf(N, F), G);M: Point;Intersection(l, G) = M;Negation(M=F);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "N": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1773,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1773.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F2: Point;RightFocus(G) = F2;P: Point;Q: Point;IsChordOf(LineSegmentOf(P,Q),G) = True;PointOnCurve(F2,LineSegmentOf(P,Q)) = True;IsPerpendicular(LineSegmentOf(P,Q),RealAxis(G)) = True;F1: Point;LeftFocus(G) = F1;AngleOf(P, F1, Q) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1774,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1774.png",
+      "answer": "9/2",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/a1^2 + y^2/b1^2 = 1);a1: Number;b1: Number;a1 > 0;b1 > 0;C2: Hyperbola;Expression(C2) = (x^2/a2^2 - y^2/b2^2 = 1);a2: Number;b2: Number;a2 > 0;b2 > 0;F1: Point;F2: Point;Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};OneOf(Intersection(C1, C2)) = P;P: Point;e1: Number;e2: Number;Eccentricity(C1) = e1;Eccentricity(C2) = e2;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1775,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1775.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;O: Origin;M: Point;x1:Number;y1:Number;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(P) = (x1, y1);Coordinate(F) = (3, 0);PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 2;MidPoint(LineSegmentOf(P, F)) = M",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1776,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1776.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;l1: Line;l2: Line;P: Point;Expression(G) = (y = x^2/4);PointOnCurve(P, G);Expression(l1) = (4*x - 3*y = 7);Expression(l2) = (y = -1)",
+      "coords": {}
+    },
+    {
+      "index": 1777,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1777.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F2, G);Slope(G) = b/a;P: Point;Intersection(G, C) = P;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1778,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1778.png",
+      "answer": "pi/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;Intersection(Directrix(C), xAxis) = M;P: Point;Q: Point;l1: Line;l2: Line;TangentOfPoint(M, C) = {l1, l2};TangentPoint(l1, C) = P;TangentPoint(l2, C) = Q",
+      "coords": {}
+    },
+    {
+      "index": 1779,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1779.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "Gamma: Hyperbola;l: Line;a: Number;b: Number;a>0;b>0;A: Point;B: Point;Expression(l) = (x - sqrt(3)*y = 0);Expression(Gamma) = (-y^2/b^2 + x^2/a^2 = 1);Intersection(l, Gamma) = {A, B};C: Point;PointOnCurve(A, LineOf(A, C));IsPerpendicular(LineOf(A, C), l);Intersection(LineOf(A, C), Gamma) = C;AngleOf(A, B, C) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1780,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1780.png",
+      "answer": "1/4",
+      "fact_expr": "l: Line;G: Parabola;M: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (2, 0);Negation(IsPerpendicular(l,xAxis));PointOnCurve(M, l);Intersection(l, G) = {A, B}",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1781,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1781.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;A: Point;F: Point;P: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);RightFocus(G) = F;Coordinate(A) = (0, sqrt(6))",
+      "coords": {
+        "A": [
+          0.0,
+          2.449489742783178
+        ]
+      }
+    },
+    {
+      "index": 1782,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1782.png",
+      "answer": "16",
+      "fact_expr": "M: Parabola;Expression(M) = (y^2 = 4*x);F: Point;Focus(M) = F;A: Point;B: Point;C: Point;D: Point;PointOnCurve(F, LineSegmentOf(A, B));PointOnCurve(F, LineSegmentOf(C, D));IsChordOf(LineSegmentOf(A, B), M);IsChordOf(LineSegmentOf(C, D), M);IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(C, D));Intersection(LineSegmentOf(A, B), M) = {A, B};Intersection(LineSegmentOf(C, D), M) = {C, D}",
+      "coords": {}
+    },
+    {
+      "index": 1783,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1783.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G)=F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l,G) ={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 1784,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1784.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;Q: Point;F: Point;P: Point;O:Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O,l);Intersection(l,LeftPart(C))=P;Intersection(l,RightPart(C))=Q;Abs(LineSegmentOf(Q,F))-Abs(LineSegmentOf(P,F))=Length(ImageinaryAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 1785,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1785.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;Q: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C)=F;PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F),xAxis);PointOnCurve(Q, xAxis);IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(O, P));Abs(LineSegmentOf(F, Q)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1786,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1787,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1787.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;M: Point;O:Origin;P: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P, C);Quadrant(P)=1;MidPoint(LineSegmentOf(P, F)) = M;Vertex(C)=O",
+      "coords": {}
+    },
+    {
+      "index": 1788,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1788.png",
+      "answer": "4*sqrt(13)",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;O: Origin;Expression(G) = (y^2 = -16*x);Focus(G) = F;PointOnCurve(P, Directrix(G));PointOnCurve(A, G);Abs(LineSegmentOf(A, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1789,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1790,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1791,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1792,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1792.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "l: Line;E: Ellipse;b: Number;a: Number;P: Point;F2: Point;Q: Point;F1: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F2,l);Intersection(l, E) = {P, Q};Abs(LineSegmentOf(P, F2)) = 2*Abs(LineSegmentOf(Q,F2));Abs(LineSegmentOf(Q,F1))=3*Abs(LineSegmentOf(Q,F2))",
+      "coords": {}
+    },
+    {
+      "index": 1793,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1793.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;D: Point;C: Point;A: Point;M: Point;B: Point;F: Point;k2: Number;k1: Number;Expression(G) = (y^2 = 4*x);Coordinate(M) = (4, 0);Focus(G) = F;PointOnCurve(F, H);Slope(H) = k1;Intersection(H, G) = {A, B};Intersection(OverlappingLine(LineSegmentOf(A, M)), G) = C;Intersection(OverlappingLine(LineSegmentOf(B, M)), G) = D;Slope(LineOf(C, D)) = k2",
+      "coords": {
+        "M": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1794,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1794.png",
+      "answer": "4+pm*2*sqrt(3)",
+      "fact_expr": "C: Parabola;P: Point;F: Point;H: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = H;PointOnCurve(P, C);Abs(LineSegmentOf(P, H)) = (sqrt(5)/2)*Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 1795,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1795.png",
+      "answer": "(sqrt(2) + 1, +oo)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;N: Point;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;H: Line;PointOnCurve(F2,H);IsPerpendicular(H,xAxis);Intersection(H, C) = {M, N};DotProduct(VectorOf(N, F1), VectorOf(M, F1)) < 0",
+      "coords": {}
+    },
+    {
+      "index": 1796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1796.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;O: Origin;M: Point;PointOnCurve(M, G) = True;Abs(LineSegmentOf(M, F)) = 3*Abs(LineSegmentOf(O, F));Area(TriangleOf(M, F, O)) = 16*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1797,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/test/hyperbola/problem_1797.png",
+      "answer": "1",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Eccentricity(C)=sqrt(5);IsPerpendicular(LineSegmentOf(F1, P), LineSegmentOf(F2, P));Area(TriangleOf(P, F1, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1798,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1798.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C1: Hyperbola;a: Number;C2: Hyperbola;b: Number;a>0;b>0;Expression(C1) = (y^2/a^2 - x^2/b^2 = 1);Expression(C2) = (x^2/4 - y^2 = 1);Asymptote(C1) = Asymptote(C2)",
+      "coords": {}
+    },
+    {
+      "index": 1799,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1799.png",
+      "answer": "(11/10,0)",
+      "fact_expr": "A: Point;B: Point;A1: Point;F: Point;G:Curve;C:Point;Expression(G)=(x^2/16-y^2/9=1);IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F,LineSegmentOf(A,B));RightFocus(G)=F;PointOnCurve(A,LineSegmentOf(A,A1));IsPerpendicular(RightDirectrix(G),LineSegmentOf(A,A1));FootPoint(RightDirectrix(G),LineSegmentOf(A,A1))=A1;Intersection(LineSegmentOf(B,A1),xAxis)=C",
+      "coords": {}
+    },
+    {
+      "index": 1800,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.9876673221588135,
+        "b": 1.5893483050269506,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.171300880237459e-05,
+        "converged": true,
+        "iterations": 68
+      },
+      "output_path": "results/test/ellipse/problem_1800.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;k: Number;Expression(G) = (x^2/25 + y^2/k = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 1801,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1802,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1802.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;F: Point;B: Point;k: Number;Expression(G) = (x^2/9 + y^2/5 = 1);RightFocus(G) = F;PointOnCurve(F, l);Slope(l) = k;Intersection(l, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1803,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1803.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;Expression(G) = (y^2 = -2*p*x);Expression(H) = (y^2 + (x + 1)^2 = 1);Center(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1804,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1532304286956787,
+        "b": 2.5773532390594482,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 8.412490387854632e-06,
+        "converged": true,
+        "iterations": 114
+      },
+      "output_path": "results/test/hyperbola/problem_1804.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(5)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1805,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1805.png",
+      "answer": "[1,3)+(16/3,16]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/4 + x^2/a = 1);a: Number;e: Number;Eccentricity(G) = e;In(e,(1/2, sqrt(3)/2])",
+      "coords": {}
+    },
+    {
+      "index": 1806,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1807,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1807.png",
+      "answer": "x^2/2-y^2/4=1",
+      "fact_expr": "G: Hyperbola;H: Point;C:Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);Coordinate(H) = (2, 2);Asymptote(G) = Asymptote(C);PointOnCurve(H, C)",
+      "coords": {
+        "H": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1808,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1808.png",
+      "answer": "",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;H: Parabola;Expression(G) = (m*x^2 + n*y^2 = 1);Expression(H) = (y = x^2/8);OneOf(Focus(G)) = Focus(H);Eccentricity(G)=2",
+      "coords": {}
+    },
+    {
+      "index": 1809,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1809.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "C: Parabola;A: Point;F: Point;P: Point;O: Origin;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(A, C);PointOnCurve(P, Directrix(C));Abs(LineSegmentOf(A, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1810,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1810.png",
+      "answer": "[sqrt(3)/2,1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;PointOnCurve(P,C);Quadrant(P)=1;DotProduct(VectorOf(F, O), VectorOf(F, P)) = Abs(LineSegmentOf(P, F))^2",
+      "coords": {}
+    },
+    {
+      "index": 1811,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1811.png",
+      "answer": "y^2 = -16*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -2*p*x);p: Number;p>0;H: Circle;Expression(H) = (-4*x + x^2 + y^2 = 0);IsTangent(H, Directrix(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1812,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1812.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);Intersection(Directrix(C), xAxis) = M;M: Point;F: Point;Focus(C) = F;L: Line;Inclination(L) = ApplyUnit(60,degree);PointOnCurve(F,L) = True;Intersection(L,C) = {A,B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1813,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1813.png",
+      "answer": "y^2 = 2*x - 2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(B) = (2, 0);MidPoint(LineSegmentOf(A, B)) = P;PointOnCurve(A, G)",
+      "coords": {
+        "B": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1814,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1814.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - y^2/8 = 1);Expression(H) = (x + 2*y + 7 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1815,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1816,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1817,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1817.png",
+      "answer": "pm*3",
+      "fact_expr": "C: Parabola;p: Number;M: Point;F: Point;A: Point;O: Origin;Expression(C) = (y^2 = 2*p*x);PointOnCurve(A, C);Focus(C) = F;Distance(A, F) = 4;PointOnCurve(M, Directrix(C));VectorOf(M, F) = 3*VectorOf(F, A)",
+      "coords": {}
+    },
+    {
+      "index": 1818,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1818.png",
+      "answer": "[-1,0)",
+      "fact_expr": "x0: Number;x0 < 0;M: Point;Coordinate(M) = (x0, 0);O: Origin;C: Parabola;Expression(C) = (y^2 = 4*x);N: Point;PointOnCurve(N, C);AngleOf(O, M, N) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1819,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1819.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);PointOnCurve(MidPoint(LineSegmentOf(P,F1)), yAxis);Abs(LineSegmentOf(P, F1)) = lambda*Abs(LineSegmentOf(P, F2));lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 1820,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1820.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;O: Origin;Expression(G) = (y^2 = 2*x);Coordinate(A) = (-1/2, 0);Focus(G) = F;PointOnCurve(P, G);Abs(LineSegmentOf(A, P)) = sqrt(2)*Abs(LineSegmentOf(P, F))",
+      "coords": {
+        "A": [
+          -0.5,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1821,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1821.png",
+      "answer": "20",
+      "fact_expr": "C: Hyperbola;b: Number;G: Circle;H: Circle;F2: Point;P: Point;F1: Point;A1: Point;A2: Point;b>0;Expression(C) = (x^2/5 - y^2/b^2 = 1);LeftVertex(C) = A1;RightVertex(C) = A2;LeftFocus(C)=F1;RightFocus(C)=F2;IsDiameter(LineSegmentOf(F1,F2),G);OneOf(Intersection(G,LeftPart(C)))=P;IsDiameter(LineSegmentOf(A1,A2),H);IsTangent(H,LineOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 1822,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1823,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1823.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "N: Parabola;p: Number;M: Ellipse;a: Number;b: Number;P: Point;F1: Point;F2: Point;Expression(N) = (y^2 = 2*(p*x));a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(M) = F1;RightFocus(M) = F2;Focus(N) = F2;OneOf(Intersection(M,N))=P;Abs(LineSegmentOf(P, F1)) = sqrt(2)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1824,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1824.png",
+      "answer": "x^2/4-y^2/3=1",
+      "fact_expr": "G: Ellipse;A: Point;M: Point;N: Point;B: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftVertex(G) = A;RightVertex(G) = B;PointOnCurve(M,G);PointOnCurve(N,G);IsPerpendicular(LineSegmentOf(M,N),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1825,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1825.png",
+      "answer": "-11",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (y = 2*x - 2);Intersection(H, G) = {A, B};Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1826,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1826.png",
+      "answer": "{(-2/3, sqrt(2)/3), (-2/3, -sqrt(2)/3)}",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F: Point;LeftFocus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};O: Origin;DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0;Z: Line;PointOnCurve(O, Z);IsPerpendicular(Z, LineOf(A, B));H: Point;FootPoint(Z, LineOf(A, B)) = H",
+      "coords": {}
+    },
+    {
+      "index": 1827,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1827.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Curve;O: Origin;P: Point;Q: Point;Expression(C) = (y = x^2/2);PointOnCurve(P, C);TangentOnPoint(P, C) = l;Z: Line;PointOnCurve(P, Z);IsPerpendicular(Z, l);Intersection(Z, C) = Q;IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(O, Q))",
+      "coords": {}
+    },
+    {
+      "index": 1828,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 3.9731175899505615,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00018243117665406317,
+        "converged": true,
+        "iterations": 127
+      },
+      "output_path": "results/test/parabola/problem_1828.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;a: Number;P: Point;F: Point;Expression(G) = (y^2 = a*x);Coordinate(P) = (1, 4);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = Abs(LineSegmentOf(P, F));Negation(a = 0)",
+      "coords": {
+        "P": [
+          1.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1829,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/test/hyperbola/problem_1829.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Circle;F1: Point;F2: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (3, 4);PointOnCurve(A, C);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(F1, F2), G);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          3.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1830,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1830.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;O: Circle;H: Line;m: Number;n: Number;I: Point;L:Line;Expression(G) = (x^2/9 + y^2/4 = 1);Expression(O) = (x^2 + y^2 = 4);Expression(H) = (m*x + n*y = 4);Coordinate(I) = (m, n);NumIntersection(H, O)=0;PointOnCurve(I,L)",
+      "coords": {}
+    },
+    {
+      "index": 1831,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1832,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1833,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1834,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1834.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Line;P: Point;F1: Point;Q: Point;F2: Point;a > b;b > 0;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, G) = {P, Q};AngleOf(F1, P, Q) = ApplyUnit(60, degree);Abs(LineSegmentOf(P,F1))=Abs(LineSegmentOf(P,Q))",
+      "coords": {}
+    },
+    {
+      "index": 1835,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1835.png",
+      "answer": "5/13",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);P: Point;PointOnCurve(P, G) = True;PointOnCurve(MidPoint(LineSegmentOf(P,F1)),yAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 1836,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1836.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = 2*sqrt(3)/3;H: Line;Expression(H) = (y = x*(b/a))",
+      "coords": {}
+    },
+    {
+      "index": 1837,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1838,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1838.png",
+      "answer": "5/7",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;G: Line;O: Origin;PointOnCurve(O, G);A: Point;B: Point;Intersection(C, G) = {A,B};Abs(LineSegmentOf(A, B)) = 10;Abs(LineSegmentOf(A, F)) = 6;Cos(AngleOf(A, B, F)) = 4/5;e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 1839,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1839.png",
+      "answer": "(1, sqrt(2)]",
+      "fact_expr": "C1:Hyperbola;C2:Hyperbola;a:Number;b:Number;a>0;b>0;m:Number;n:Number;m>0;n>0;e1:Number;e2:Number;Expression(C1)=(x^2/a^2-y^2/b^2=1);Expression(C2)=(y^2/m^2-x^2/n^2=1);Eccentricity(C1)=e1;Eccentricity(C2)=e2;Asymptote(C1)=Asymptote(C2)",
+      "coords": {}
+    },
+    {
+      "index": 1840,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1840.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);k: Number;Slope(l) = k;P: Point;Q: Point;Intersection(l, C) = {P, Q};M: Point;Intersection(PerpendicularBisector(LineSegmentOf(P, Q)), xAxis) = M;Abs(LineSegmentOf(P, Q)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1841,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1841.png",
+      "answer": "",
+      "fact_expr": "G: Parabola;A: Point;P: Point;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 6);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          4.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 1842,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1842.png",
+      "answer": "2*sqrt(5) - 1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;m:Number;n:Number;Expression(G) = (x^2 = 4*y);Expression(H) = (x + 2*y + 8 = 0);PointOnCurve(A, G);Distance(A, xAxis) = m;Distance(A,H)=n",
+      "coords": {}
+    },
+    {
+      "index": 1843,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1843.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Line;Slope(G) = sqrt(2);A: Point;B: Point;Intersection(G, C) = {A, B};O: Origin;P: Point;MidPoint(LineSegmentOf(A, B)) = P;Slope(LineOf(O, P)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1844,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1845,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1845.png",
+      "answer": "7",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;M:Point;Expression(G) = (y^2 = 6*x);PointOnCurve(Focus(G),l);Intersection(l,G)={A,B};MidPoint(LineSegmentOf(A,B))=M;XCoordinate(M)=2",
+      "coords": {}
+    },
+    {
+      "index": 1846,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1846.png",
+      "answer": "(15*sqrt(41))/41",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (4*x - 5*y + 40 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1847,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1847.png",
+      "answer": "[5, 7]",
+      "fact_expr": "C: Ellipse;F2: Point;P: Point;F1: Point;Q: Point;F: Circle;Expression(C) = (x^2/9 + y^2/6 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Center(F) = F2;Radius(F) = 1;PointOnCurve(P, C);PointOnCurve(Q, F)",
+      "coords": {}
+    },
+    {
+      "index": 1848,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1849,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1849.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);IsPerpendicular(H, xAxis);A: Point;B: Point;Intersection(H, G) = {A, B};C: Point;Intersection(LineOf(A, F2), G) = {A, C};VectorOf(A, F2) = 2*VectorOf(F2, C)",
+      "coords": {}
+    },
+    {
+      "index": 1850,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1850.png",
+      "answer": "",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);H: LineSegment;IsChordOf(H,G) = True;Coordinate(MidPoint(H)) = (1/2, 1/2)",
+      "coords": {}
+    },
+    {
+      "index": 1851,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1851.png",
+      "answer": "pm*2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (-1, 0);PointOnCurve(P, H);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(P, B)) = A",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1852,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1852.png",
+      "answer": "",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/16 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1853,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1854,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1854.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2 - 4*y^2 = 4);Focus(G) = {F1, F2};PointOnCurve(P, G);DotProduct(VectorOf(P,F1),VectorOf(P,F2))=0",
+      "coords": {}
+    },
+    {
+      "index": 1855,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.24967060983181,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 6.555423624376999e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/test/parabola/problem_1855.png",
+      "answer": "(0, 1/4)",
+      "fact_expr": "G: Parabola;m: Number;H: Point;Expression(G) = (x^2 = m*y);Coordinate(H) = (-1, 1);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1856,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1857,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1858,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1858.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (x^2 = 8*y);PointOnCurve(P, G);Distance(P, Focus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1859,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1860,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1860.png",
+      "answer": "4/3",
+      "fact_expr": "C: Parabola;k: Number;k > 0;F: Point;A: Point;B: Point;A1: Point;B1: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;H: Line;PointOnCurve(F, H);Slope(H) = k;Intersection(H, C) = {A, B};l1: Line;l2: Line;PointOnCurve(A, l1);PointOnCurve(B, l2);IsPerpendicular(l1, Directrix(C));IsPerpendicular(l2, Directrix(C));FootPoint(l1, Directrix(C)) = A1;FootPoint(l2, Directrix(C)) = B1;Area(TriangleOf(A, B, B1))/Area(TriangleOf(A, B, A1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1861,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1861.png",
+      "answer": "",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;B: Point;Expression(G) = (x^2/2 - y^2 = 1);PointOnCurve(RightFocus(G), H);Inclination(H)=ApplyUnit(45, degree) ;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1862,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1862.png",
+      "answer": "(x-3)^2+y^2=5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);H: Circle;Center(H) = RightFocus(G);IsTangent(H, Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 1863,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1864,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1864.png",
+      "answer": "3*sqrt(2)",
+      "fact_expr": "P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;G: Ellipse;Expression(G) = (x^2/9 + y^2 = 1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1865,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1865.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);IsPerpendicular(H, xAxis);OneOf(Intersection(H, G)) = P;AngleOf(P, F1, F2) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 1866,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1867,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1867.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1868,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/test/hyperbola/problem_1868.png",
+      "answer": "x^2/5-y^2/20=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = 2*x);H: Parabola;Expression(H) = (y^2 = 20*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1869,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1870,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1871,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1871.png",
+      "answer": "(sqrt(5)-1)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, Asymptote(C));IsPerpendicular(LineSegmentOf(M, F1), LineSegmentOf(M, F2));Abs(LineSegmentOf(M, F1)) = 2*b + Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1872,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1872.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;Expression(l) = (x - sqrt(3)*y + 8 + 2*sqrt(3) = 0);P: Point;PointOnCurve(P, l);WhenMax(AngleOf(F1, P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1873,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1873.png",
+      "answer": "x^2/9-y^2/3=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;E: Circle;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C)=(-y^2/b^2 + x^2/a^2=1);Expression(E)=(x^2 + (y-1/2)^2=49/4);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,RightPart(C));IsDiameter(LineSegmentOf(P,F1),E);PointOnCurve(F2,E)",
+      "coords": {}
+    },
+    {
+      "index": 1874,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1875,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1875.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;P:Point;Expression(C) = (x^2/2 - y^2 = 1);PointOnCurve(P, C);l1:Line;l2:Line;Asymptote(C)={l1,l2};Distance(P,l1)=d1;Distance(P,l2)=d2;d1:Number;d2:Number",
+      "coords": {}
+    },
+    {
+      "index": 1876,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1877,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1877.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;C: Point;D: Point;lambda:Number;Expression(G) = (y^2 = 2*x);PointOnCurve(Focus(G),LineSegmentOf(A,B));PointOnCurve(Focus(G),LineSegmentOf(C,D));IsChordOf(LineSegmentOf(A,B),G);IsChordOf(LineSegmentOf(C,D),G);IsPerpendicular(LineSegmentOf(A,B),LineSegmentOf(C,D));Abs(LineSegmentOf(A, B)) + Abs(LineSegmentOf(C, D)) = (lambda*Abs(LineSegmentOf(A, B)))*Abs(LineSegmentOf(C, D))",
+      "coords": {}
+    },
+    {
+      "index": 1878,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1879,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1879.png",
+      "answer": "2\nApplyUnit(120, degree)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1880,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1881,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1881.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/10 + y^2/6 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1882,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1882.png",
+      "answer": "-6",
+      "fact_expr": "M: Point;H: Circle;Expression(H) = ((x - 6)^2 + (y - 4)^2 = 1);PointOnCurve(M, H);P: Point;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);F: Point;Coordinate(F) = (-3, 0)",
+      "coords": {
+        "F": [
+          -3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1883,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1883.png",
+      "answer": "9/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G);A: Point;B: Point;Intersection(G, LeftPart(C)) = {A, B};Abs(LineSegmentOf(A, F2)) = 3;Abs(LineSegmentOf(B, F2)) = 5;Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1884,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1885,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1886,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1886.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/3^2 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1887,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1887.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;F: Point;B: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (-2, 0);PointOnCurve(M, l);Slope(l) = 2/3;Intersection(l, C) = {A, B};Focus(C)=F;Area(TriangleOf(M,F,B))=2*Area(TriangleOf(M,F,A))",
+      "coords": {
+        "M": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1888,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1888.png",
+      "answer": "(1,3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, LeftPart(G));Abs(LineSegmentOf(P, F2))^2/Abs(LineSegmentOf(P, F1)) = 8*a",
+      "coords": {}
+    },
+    {
+      "index": 1889,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1890,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1890.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 2*p*x);p: Number;M: Point;Coordinate(M) = (1, m);m: Number;PointOnCurve(M, E) = True;Distance(M, Focus(E)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1891,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1891.png",
+      "answer": "[2, 2*sqrt(2)]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);x0^2/2 + y0^2 <= 1",
+      "coords": {}
+    },
+    {
+      "index": 1892,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1892.png",
+      "answer": "6",
+      "fact_expr": "l: Line;G: Hyperbola;O: Origin;c: Number;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(G) = c;Expression(l) = (a*x + b*y = a*b);Distance(O, l) = (1/3)*c + 1",
+      "coords": {}
+    },
+    {
+      "index": 1893,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1893.png",
+      "answer": "y=-x+1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F: Point;RightFocus(G) = F;l: Line;PointOnCurve(F, l) = True;Intersection(l, G) = {P, Q};Q: Point;P: Point;Quadrant(P) = 2;Q1: Point;PointOnCurve(Q, G) = True;PointOnCurve(Q1, G) = True;Coordinate(Q) = (xQ, yQ);xQ: Number;yQ: Number;Coordinate(Q1) = (xQ1, yQ1);xQ1: Number;yQ1: Number;yQ + yQ1 = 0;IsPerpendicular(LineSegmentOf(F, Q1), LineSegmentOf(P, Q)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1894,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1894.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 2);Expression(H) = (y^2 = 2*(p*x));Directrix(H) = LeftDirectrix(G)",
+      "coords": {}
+    },
+    {
+      "index": 1895,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1895.png",
+      "answer": "[2, 3]",
+      "fact_expr": "E: Ellipse;F1: Point;P: Point;F2: Point;Expression(E) = (x^2/4 + y^2/3 = 1);Focus(E) = {F1, F2};PointOnCurve(P, E)",
+      "coords": {}
+    },
+    {
+      "index": 1896,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1896.png",
+      "answer": "x^2/4+3*y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;C: Point;A: Point;O: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (2, 0);Center(G) = O;OneOf(Endpoint(MajorAxis(G)))=A;PointOnCurve(O, LineSegmentOf(B, C));IsChordOf(LineSegmentOf(B, C),G);DotProduct(VectorOf(A, C), VectorOf(B, C)) = 0;Abs(-VectorOf(O, B) + VectorOf(O, C)) = 2*Abs(-VectorOf(B, A) + VectorOf(B, C))",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1897,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1897.png",
+      "answer": "25/4",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C)=(y^2 = 4*x);Focus(C)=F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1898,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1898.png",
+      "answer": "sqrt(2)\n(pm*sqrt(2), 0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/3 + x^2/m = 1);m: Number;m>0;T:Point;OneOf(Focus(G))=T;Coordinate(T) = (0, 1);PointOnCurve(P, G) ;P: Point;F1: Point;F2: Point;Focus(G) = {F1, F2};Area(TriangleOf(P, F1, F2)) = sqrt(2)",
+      "coords": {
+        "T": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1899,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1900,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1900.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -1);Coordinate(A) = (0, 1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1901,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1901.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;J: Line;H: Line;A: Point;P: Point;B: Point;E: Point;F: Point;O: Origin;Expression(G) = (x^2/4 + y^2/2 = 1);Expression(H) = (x = 3);RightVertex(G) = P;PointOnCurve(O, J);Intersection(J, G) = {A, B};Intersection(LineOf(P, A), H) = E;Intersection(LineOf(P, B), H) = F",
+      "coords": {}
+    },
+    {
+      "index": 1902,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1902.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);XCoordinate(P) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1903,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1904,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1904.png",
+      "answer": "pm*sqrt(210)/3",
+      "fact_expr": "l: Line;G: Hyperbola;Expression(G) = (x^2/3 - y^2/2 = 1);Length(InterceptChord(l,G))=4;Slope(l)=2",
+      "coords": {}
+    },
+    {
+      "index": 1905,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1905.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/6 - y^2/3 = 1);H: Circle;Expression(H) = (y^2 + (x - 3)^2 = r^2);r: Number;r>0;IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 1906,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1906.png",
+      "answer": "y = pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1907,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1907.png",
+      "answer": "{2*sqrt(3)/3,2}",
+      "fact_expr": "C: Hyperbola;G: Circle;O: Origin;Expression(G) = (y^2 + (x - 2)^2 = 1);Center(C) = O;SymmetryAxis(C)=axis;IsTangent(Asymptote(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 1908,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1908.png",
+      "answer": "1/3",
+      "fact_expr": "G: Hyperbola;H: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/3 - y^2 = 1);Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};OneOf(Intersection(H,G))=P",
+      "coords": {}
+    },
+    {
+      "index": 1909,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1909.png",
+      "answer": "2*sqrt(38)/5",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + 4*y^2 = 4);Expression(H) = (y = x - 1/2)",
+      "coords": {}
+    },
+    {
+      "index": 1910,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1910.png",
+      "answer": "sqrt(17)/3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,RightPart(G));DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Tan(AngleOf(P, F1, F2)) = 1/4",
+      "coords": {}
+    },
+    {
+      "index": 1911,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1911.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;L1:Line;L2:Line;OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2);L:Line;PointOnCurve(F, L);IsPerpendicular(L1, L);FootPoint(L1, L)=A;Intersection(L,L2)=B;2*VectorOf(A, F) = VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1912,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1912.png",
+      "answer": "1 + sqrt(2)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;Q: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};IsChordOf(LineSegmentOf(P, Q), G);PointOnCurve(F1, LineSegmentOf(P, Q));IsPerpendicular(xAxis, LineSegmentOf(P, Q));AngleOf(P, F2, Q) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1913,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1913.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/16 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1914,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1914.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;N: Point;M: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = (y^2 + (x + 3)^2 = 1);Expression(C) = (y^2 + (x - 3)^2 = 1);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 1915,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1915.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;l: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(l) = (3*x - 4*y + 12 = 0);PointOnCurve(P, G);d1:Number;d2:Number;Distance(P, yAxis) = d1;Distance(P, l) = d2",
+      "coords": {}
+    },
+    {
+      "index": 1916,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1916.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(M) = (y^2 + (-a + x)^2 = b^2/4);IsTangent(OneOf(Asymptote(C)),M);WhenMax(a^2/(a^2*b^2+1)-(4/49)*a^2)",
+      "coords": {}
+    },
+    {
+      "index": 1917,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1917.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "l: Line;Slope(l) = 2;G: Parabola;Expression(G) = (y^2 = a*x);a>0;a: Number;F: Point;PointOnCurve(F,l) = True;Focus(G) = F;Intersection(l,yAxis) = A;O: Origin;A: Point;Area(TriangleOf(O,A,F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1918,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1918.png",
+      "answer": "y=(pm*3/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1919,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1920,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1920.png",
+      "answer": "4+2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 1921,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1921.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Circle;A: Point;C: Point;B: Point;F: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = a^2);LeftFocus(G) = F;l1: Line;l2: Line;TangentOfPoint(F, O) = {l1, l2};TangentPoint(l1,O)=A;TangentPoint(l2,O)=B;LeftVertex(G) = C;AngleOf(A, C, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1922,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1922.png",
+      "answer": "sqrt(17)-1",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;PointOnCurve(P, C);G: Circle;Expression(G) = (x^2 + (y - 4)^2 = 1);Q: Point;PointOnCurve(Q, G);Distance(P, Directrix(C)) = d;d: Number",
+      "coords": {}
+    },
+    {
+      "index": 1923,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1923.png",
+      "answer": "(sqrt(5)+1)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;OneOf(Focus(G)) = F;F: Point;OneOf(Endpoint(ImageinaryAxis(G))) = B;B: Point;IsPerpendicular(LineOf(F,B),OneOf(Asymptote(G))) = True",
+      "coords": {}
+    },
+    {
+      "index": 1924,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1924.png",
+      "answer": "x^2=6*y-9",
+      "fact_expr": "G: Parabola;F: Point;M: Point;P: Point;Expression(G) = (x^2 = 12*y);Focus(G) = F;PointOnCurve(P, G);VectorOf(F, M) = VectorOf(M, P)",
+      "coords": {}
+    },
+    {
+      "index": 1925,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1925.png",
+      "answer": "x^2/3 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2 - y^2/4 = 1);Coordinate(H) = (2, 2);Asymptote(G) = Asymptote(C);PointOnCurve(H, C)",
+      "coords": {
+        "H": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1926,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1926.png",
+      "answer": "(1, 2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, RightPart(G));Abs(LineSegmentOf(M, F1))/Abs(LineSegmentOf(M, F2)) = 3;Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 1927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_1927.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (-a + x)^2 = 3/4);Eccentricity(C) = 2;IsTangent(Asymptote(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 1928,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1929,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1930,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1930.png",
+      "answer": "4*sqrt(2)/3",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2/2 + y^2 = 1);Expression(H) = (y = x - 1)",
+      "coords": {}
+    },
+    {
+      "index": 1931,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1931.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;P: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(P, C);Slope(LineOf(P, A))=k1;Slope(LineOf(P, B)) = k2;k1:Number;k2:Number;k1*k2 = -4/9",
+      "coords": {}
+    },
+    {
+      "index": 1932,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1932.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;F: Point;P:Point;A:Point;Expression(C) = (y^2 = -4*x);Focus(C) = F;Coordinate(A) = (-1, 1);PointOnCurve(P,C)",
+      "coords": {
+        "A": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1933,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1934,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1934.png",
+      "answer": "[2*sqrt(2),+oo]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Inclination(OneOf(Asymptote(G))) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1935,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1935.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Circle;Expression(H) = ((x - sqrt(3))^2 + (y - 1)^2 = 1);IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 1936,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1937,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1937.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;F: Point;Expression(C) = (x^2/2 + y^2 = 1);Expression(l)=(x-y+2=0);LeftFocus(C) = F;PointOnCurve(P, C);Distance(P, l) = d;d:Number",
+      "coords": {}
+    },
+    {
+      "index": 1938,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1938.png",
+      "answer": "8",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1939,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1939.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, C);Slope(LineSegmentOf(P, UpperVertex(C)))*Slope(LineSegmentOf(P, LowerVertex(C))) = -4/9",
+      "coords": {}
+    },
+    {
+      "index": 1940,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1940.png",
+      "answer": "{16,34}",
+      "fact_expr": "G: Ellipse;t: Number;Expression(G) = (x^2/25 + y^2/t = 1);Focus(G) = {F1,F2};F1: Point;F2: Point;Distance(F1,F2) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1941,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1941.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(A, G);PointOnCurve(B, G);IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B));Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1942,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1942.png",
+      "answer": "9/4",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Quadrant(A) = 1;VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1943,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1944,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.4148966481295064,
+        "b": 2.904512927119681,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.037912459509782e-07,
+        "converged": true,
+        "iterations": 470
+      },
+      "output_path": "results/test/hyperbola/problem_1944.png",
+      "answer": "7",
+      "fact_expr": "C: Hyperbola;b: Number;b>0;Expression(C)=(x^2-y^2/b^2 = 1);Expression(Asymptote(C))=(y=pm*7*x)",
+      "coords": {}
+    },
+    {
+      "index": 1945,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1945.png",
+      "answer": "-2",
+      "fact_expr": "T: Ellipse;Expression(T) = (x^2/a^2 + y^2/b^2 = 1);a: Number;b: Number;a > b;b > 0;Eccentricity(T) = sqrt(2)/2;F: Point;Coordinate(F) = (1, 0);RightFocus(T) = F;A: Point;B: Point;C: Point;PointOnCurve(Vertex(TriangleOf(A, B, C)), T) = True;MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = M;D: Point;E: Point;M: Point;k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(A, C))) = k3;Negation(k1 = 0);Negation(k2 = 0);Negation(k3 = 0);O: Origin;Slope(LineOf(O, D)) + Slope(LineOf(O, E)) + Slope(LineOf(O, M)) = 1",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1946,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1947,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1947.png",
+      "answer": "-27/16",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 3*x);PointOnCurve(Focus(G),H);Intersection(H,G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1948,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/test/hyperbola/problem_1948.png",
+      "answer": "4*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (sqrt(3), 2);PointOnCurve(H, G);Eccentricity(G)=3",
+      "coords": {
+        "H": [
+          1.7320508075688772,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1949,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1950,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1950.png",
+      "answer": "sqrt(17)/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F2: Point;B: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, l);Intersection(l,RightPart(C))={A, B};DotProduct(VectorOf(A,F1),VectorOf(A,F2))=0;Abs(LineSegmentOf(A, F2))/Abs(LineSegmentOf(B, F2)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 1951,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1951.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};YCoordinate(MidPoint(LineSegmentOf(A, B))) = 2;IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 1952,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1953,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1954,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1954.png",
+      "answer": "pm*1",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;k: Number;Expression(C) = (y^2 = 4*x);Slope(l)=k;PointOnCurve(Focus(C),l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, B))=8",
+      "coords": {}
+    },
+    {
+      "index": 1955,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1956,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1956.png",
+      "answer": "pm*sqrt(2)/4",
+      "fact_expr": "l: Line;C: Parabola;E: Point;F: Point;A: Point;B: Point;k: Number;Expression(C) = (y = x^2/4);Focus(C) = F;Intersection(Directrix(C),axis)=E;PointOnCurve(F, l);Intersection(l, C) = {A, B};3*VectorOf(E, F) = VectorOf(E, A) + 2*VectorOf(E, B);Slope(l) = k",
+      "coords": {}
+    },
+    {
+      "index": 1957,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1957.png",
+      "answer": "9",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Projection(P, yAxis) = Q;Q: Point;M: Point;Coordinate(M) = (7, 8)",
+      "coords": {
+        "M": [
+          7.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 1958,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1958.png",
+      "answer": "(x^2 - y^2/8 = 1)&(x <= -1)",
+      "fact_expr": "C: Circle;Z: Circle;A: Point;P: Point;Expression(C) = (y^2 + (x - 3)^2 = 4);Coordinate(A) = (-3, 0);Center(Z) = P;PointOnCurve(A, Z);IsOutTangent(Z, C)",
+      "coords": {
+        "A": [
+          -3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1959,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1959.png",
+      "answer": "11/2",
+      "fact_expr": "G: Parabola;B: Point;P: Point;F: Point;Expression(G) = (y^2 = 6*x);Focus(G) = F;PointOnCurve(P, G) = True;Coordinate(B) = (4, 3)",
+      "coords": {
+        "B": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1960,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1960.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;H: Circle;Expression(H) = (x^2 + (y + 1)^2 = 1);A: Point;B: Point;TangentPoint(l, G) = A;TangentPoint(l, H) = B;Negation(A=B);F: Point;Focus(G) = F;WhenMin(Abs(LineSegmentOf(A, F)))",
+      "coords": {}
+    },
+    {
+      "index": 1961,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1962,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1962.png",
+      "answer": "y^2/8+x^2/4=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Coordinate(F1) = (0, -2);Coordinate(F2) = (0, 2);Focus(G) = {F1, F2};Length(MajorAxis(G)) = 4*sqrt(2)",
+      "coords": {
+        "F1": [
+          0.0,
+          -2.0
+        ],
+        "F2": [
+          0.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1963,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1963.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;O: Origin;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1964,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1965,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1965.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);F: Point;Focus(G) = F;M: Point;N: Point;PointOnCurve(M, G);PointOnCurve(N, G);Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1966,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1966.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 6)",
+      "coords": {}
+    },
+    {
+      "index": 1967,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1967.png",
+      "answer": "{y^2=4*x,y^2=16*x}",
+      "fact_expr": "G: Parabola;p: Number;F:Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(F, G);Distance(F,Focus(G)) = 5;Distance(F,SymmetryAxis(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1968,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1968.png",
+      "answer": "y=pm*2*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (3, 0);OneOf(Focus(G)) = H;Coordinate(OneOf(Vertex(G)))=(1,0)",
+      "coords": {
+        "H": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1969,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1969.png",
+      "answer": "-1",
+      "fact_expr": "l: Line;G: Parabola;F: Point;A: Point;B: Point;P:Point;m:Number;n:Number;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(Directrix(G), xAxis) = P;PointOnCurve(P, l);Intersection(l, G) = {A, B};Slope(LineSegmentOf(F, A)) = m;Slope(LineSegmentOf(F,B))=n",
+      "coords": {}
+    },
+    {
+      "index": 1970,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1971,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1971.png",
+      "answer": "y = pm*x/2",
+      "fact_expr": "C: Hyperbola;a: Number;Expression(C) = (-y^2/5 + x^2/a^2 = 1);a>0;FocalLength(C) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1972,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1972.png",
+      "answer": "y^2=2*x\n9*sqrt(2)/4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;F: Point;Coordinate(F) = (1/2, 0);Focus(C) = F;P: Point;PointOnCurve(P, C);G: Line;Expression(G) = (x + y + 5 = 0);Q: Point;PointOnCurve(Q, G)",
+      "coords": {
+        "F": [
+          0.5,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1973,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1973.png",
+      "answer": "(1/4,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x)",
+      "coords": {}
+    },
+    {
+      "index": 1974,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1975,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1975.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;F: Point;Expression(C) = (x^2/9 + y^2/7 = 1);Coordinate(A) = (-sqrt(2), 1);LeftFocus(C) = F;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          -1.4142135623730951,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1976,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1976.png",
+      "answer": "(0,1)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y)",
+      "coords": {}
+    },
+    {
+      "index": 1977,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1977.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;I: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(I) = (sqrt(2), sqrt(6));PointOnCurve(I, OneOf(Asymptote(G)))",
+      "coords": {
+        "I": [
+          1.4142135623730951,
+          2.449489742783178
+        ]
+      }
+    },
+    {
+      "index": 1978,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1978.png",
+      "answer": "16/5",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;Focus(G) = {F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1),LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1979,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1979.png",
+      "answer": "15",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/8 = 1);Expression(H) = (x^2/16 + y^2/7 = 1);Focus(G) = {F1, F2};Focus(H) = {F1, F2};OneOf(Intersection(G, H)) = P",
+      "coords": {}
+    },
+    {
+      "index": 1980,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1980.png",
+      "answer": "sqrt(26)/4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;Q: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, RightPart(G)) = {P, Q};IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(P, F1));Abs(LineSegmentOf(P, Q)) = (8/15)*Abs(LineSegmentOf(P, F1))",
+      "coords": {}
+    },
+    {
+      "index": 1981,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1981.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;L: LineSegment;IsChordOf(L,G) = True;PointOnCurve(F,L) = True;Intersection(L,G) = {A,B};A: Point;B: Point;L1: Line;L2: Line;PointOnCurve(A,L1) = True;IsPerpendicular(L1,yAxis) = True;PointOnCurve(B,L2) = True;IsPerpendicular(L2,yAxis) = True;FootPoint(L1,yAxis) = C;FootPoint(L2,yAxis) = D;C: Point;D: Point",
+      "coords": {}
+    },
+    {
+      "index": 1982,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_1982.png",
+      "answer": "x = -4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;M: Point;m: Number;Coordinate(M) = (1, m);PointOnCurve(M, G);Distance(M, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1983,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1983.png",
+      "answer": "x^2/9 + y^2/5 = 1",
+      "fact_expr": "O: Circle;G: Circle;A: Point;P: Point;Coordinate(A) = (2, 0);Expression(O) = (x^2 + y^2 = 9);IsDiameter(LineSegmentOf(A, P), G);IsInTangent(G, O)",
+      "coords": {}
+    },
+    {
+      "index": 1984,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1984.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);Focus(G) = {F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 1985,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1985.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);P: Point;PointOnCurve(P, G);Q: Point;Coordinate(Q) = (0, -4)",
+      "coords": {
+        "Q": [
+          0.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 1986,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1986.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (1, 0);Distance(P,OneOf(Asymptote(C)))=1/2",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1987,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1987.png",
+      "answer": "2*sqrt(10)",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1988,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_1988.png",
+      "answer": "2;4*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);E: Point;a: Number;Coordinate(E) = (a, 0);l: Line;PointOnCurve(E, l);P: Point;Q: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);Intersection(l, C) = {P, Q};y1*y2 = -4;M: Point;N: Point;MidPoint(H) = Q;Endpoint(H) = {M, N};PointOnCurve(N, xAxis);PointOnCurve(M, C);H:LineSegment;Negation(P=Q)",
+      "coords": {}
+    },
+    {
+      "index": 1989,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1989.png",
+      "answer": "x^2-y^2/8=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;F:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (1, 2);RightFocus(C)=F;Expression(Asymptote(C))=(y=pm*(2*sqrt(2)*x));Distance(A, F) = 2*sqrt(2)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1990,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1991,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1991.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};l: Line;PointOnCurve(F1, l);M: Point;N: Point;Intersection(l, G) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 1992,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/circle/problem_1992.png",
+      "answer": "y^2=-8*x",
+      "fact_expr": "P: Circle;G: Line;C:Circle;P1:Point;Expression(C)=((x+2)^2+y^2=1);Expression(G) = (x = 1);IsOutTangent(P,C);IsTangent(P,G);Center(P)=P1",
+      "coords": {}
+    },
+    {
+      "index": 1993,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_1993.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Inclination(OneOf(Asymptote(C))) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1994,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1995,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1996,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1997,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1997.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/9 + x^2/a^2 = 1);a: Number;a>3;F1: Point;F2: Point;Focus(G) = {F1, F2};Abs(LineSegmentOf(F1, F2)) = 8;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) = True;PointOnCurve(F1, LineSegmentOf(A, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1998,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1998.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/16 + y^2/7 = 1);PointOnCurve(P, G);Distance(P, RightFocus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1999,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_1999.png",
+      "answer": "[sqrt(3)/2, 1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;M: Point;F1: Point;F2: Point;e: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, C);Area(TriangleOf(M, F1, F2)) = sqrt(3)*b^2;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 2000,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2000.png",
+      "answer": "pm*1",
+      "fact_expr": "l: Line;G: Ellipse;M: Point;N: Point;Expression(G) = (x^2/2 + y^2 = 1);Expression(l)=(y=k*x+1);Intersection(l,G)={M,N};Abs(LineSegmentOf(M, N)) = 4*sqrt(2)/3;k:Number",
+      "coords": {}
+    },
+    {
+      "index": 2001,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2002,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/test/hyperbola/problem_2002.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2003,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2003.png",
+      "answer": "2*sqrt(10)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P,F1),VectorOf(P,F2))=0",
+      "coords": {}
+    },
+    {
+      "index": 2004,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2004.png",
+      "answer": "(1,3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Min(Abs(LineSegmentOf(P, F1))^2/Abs(LineSegmentOf(P, F2))) = 8*a;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2005,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2005.png",
+      "answer": "x^2/45+y^2/20=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True;L1: Line;L2: Line;Directrix(G) = {L1, L2};Distance(P, L1) = 6;Distance(P, L2) = 12",
+      "coords": {}
+    },
+    {
+      "index": 2006,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2006.png",
+      "answer": "[1/2,1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F: Point;A: Point;a>0;b>0;Expression(C) = (y^2/b + x^2/a = 1);RightFocus(C) = F;PointOnCurve(A, C);Max(Distance(A, F))= d;PointOnCurve(P, RightDirectrix(C));LineSegmentOf(P, F) = d;d:Number",
+      "coords": {}
+    },
+    {
+      "index": 2007,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2007.png",
+      "answer": "[pi/4, pi/3] + [2*pi/3, 3*pi/4]",
+      "fact_expr": "G: Parabola;H: Circle;I: LineSegment;alpha: Number;Expression(G) = (y^2 = 4*x);Expression(H) = (x^2 + y^2 = 3/4);PointOnCurve(Focus(G), I);Inclination(I) = alpha;Negation(Length(I) > 8);IsChordOf(I, G);IsIntersect(OverlappingLine(I), H)",
+      "coords": {}
+    },
+    {
+      "index": 2008,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2008.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;RightVertex(C) = A;A1: Circle;Center(A1) = A;c: Number;HalfFocalLength(C) = c;Radius(A1) = c;M: Point;N: Point;Intersection(A1, OneOf(Asymptote(C))) = {M, N};Abs(LineSegmentOf(M, N)) = sqrt(3)*c",
+      "coords": {}
+    },
+    {
+      "index": 2009,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2009.png",
+      "answer": "36",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l1: Line;l2: Line;PointOnCurve(F, l1);PointOnCurve(F, l2);IsPerpendicular(l1, l2);A: Point;B: Point;Intersection(l1, C) = {A, B};D: Point;E: Point;Intersection(l2, C) = {D, E}",
+      "coords": {}
+    },
+    {
+      "index": 2010,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2010.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};P: Point;PointOnCurve(P,G) = True;IsPerpendicular(LineSegmentOf(P,F1) , LineSegmentOf(P,F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 2011,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2011.png",
+      "answer": "4*sqrt(10)/3",
+      "fact_expr": "l: Line;G: Ellipse;M: Point;A: Point;B: Point;F: Point;Expression(G) = (x^2/8 + y^2/4 = 1);Coordinate(M) = (0, 1);PointOnCurve(M, l);Intersection(l, G) = {A, B};RightFocus(G) = F;WhenMax(Perimeter(TriangleOf(A,B,F)))",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2012,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_2012.png",
+      "answer": "{0, 1, 4/5}",
+      "fact_expr": "l: Line;G: Curve;a: Real;Expression(G) = (y^2 = a*x);Expression(l) = (y = x*(a - 1) - 1);NumIntersection(l, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2013,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2014,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_2014.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;Directrix(C) = l;M: Point;Coordinate(M) = (1, 0);G: Line;PointOnCurve(M, G);Slope(G) = sqrt(3);A: Point;Intersection(G, l) = A;B: Point;OneOf(Intersection(G, C)) = B;LineSegmentOf(A, M) = LineSegmentOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2015,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/test/hyperbola/problem_2015.png",
+      "answer": "10",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (y = sqrt(2)*x);F: Point;Coordinate(F) = (-sqrt(3), 0);LeftFocus(C) = F;PointOnCurve(F , l) = True;Slope(l) = 2;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), C) = True",
+      "coords": {
+        "F": [
+          -1.7320508075688772,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2016,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2016.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;m: Number;P: Point;Q: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = -3*m + x);Intersection(G, C) = {P, Q};XCoordinate(MidPoint(LineSegmentOf(P, Q))) = 2*m",
+      "coords": {}
+    },
+    {
+      "index": 2017,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2017.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "l: Line;G: Parabola;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l,G)={A,B};VectorOf(B, A) = 4*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 2018,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_2018.png",
+      "answer": "x=2",
+      "fact_expr": "C: Parabola;m: Number;E: Circle;Expression(C) = (y^2 = m*x);Expression(E) = (4*x + x^2 + y^2 - 1 = 0);Focus(C) = Center(E)",
+      "coords": {}
+    },
+    {
+      "index": 2019,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2019.png",
+      "answer": "(sqrt(3)+1)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, LeftPart(C)) = True;Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(F1, F2));AngleOf(P, F1, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2020,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2020.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Range(Eccentricity(G))=(0, sqrt(2)/2];A: Point;RightFocus(G) = A;B: Point;UpperVertex(G) = B;Distance(LeftFocus(G), LineOf(A, B)) = 2;A1: Point;LeftFocus(G) = A1;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2021,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2021.png",
+      "answer": "3*x-4*y-7=0",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(M) = (1, -1);PointOnCurve(M,l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 2022,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4142164151010692,
+        "b": 1.4142164151010692,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.2160979279094996e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/test/hyperbola/problem_2022.png",
+      "answer": "x^2-y^2/3=1",
+      "fact_expr": "G: Hyperbola;SymmetryAxis(G) = axis;O: Origin;Center(G) = O;F1: Point;F2: Point;Coordinate(F1) = (-2, 0);Coordinate(F2) = (2, 0);Focus(G) = {F1, F2};P: Point;Coordinate(P) = (-2, 3);PointOnCurve(P, G)",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ],
+        "P": [
+          -2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2023,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2023.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Expression(Asymptote(G)) = (y = pm*(x*(sqrt(3)/2)))",
+      "coords": {}
+    },
+    {
+      "index": 2024,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2024.png",
+      "answer": "sqrt(3)+sqrt(6)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;F1: Point;A: Point;F2: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, RightPart(C));Intersection(LineOf(A,F1), yAxis) = B;Abs(LineSegmentOf(F1, B)) = 3*Abs(LineSegmentOf(A, B));IsPerpendicular(LineSegmentOf(A, F1), LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2025,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2025.png",
+      "answer": "(x-2)^2+y^2=4",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2 - y^2/3 = 1);RightFocus(G) = Center(H);Eccentricity(G)=Radius(H)",
+      "coords": {}
+    },
+    {
+      "index": 2026,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2026.png",
+      "answer": "x^2/9-y^2/7=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = 4/3;Focus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2027,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2028,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2028.png",
+      "answer": "x+4*y-5=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;I: Point;Expression(G) = (x^2/16 + y^2/4 = 1);Coordinate(I) = (1, 1);MidPoint(H)=I;IsChordOf(H,G)",
+      "coords": {
+        "I": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2029,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_2029.png",
+      "answer": "3/2",
+      "fact_expr": "l: Line;Expression(l) = (-m + x - y = 0);m: Number;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;PointOnCurve(Focus(C), l) = True;Intersection(l, C) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2030,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2030.png",
+      "answer": "(3/4, +oo)",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y = 2*x^2);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(A, G);PointOnCurve(B, G);PerpendicularBisector(LineSegmentOf(A, B)) = l;Slope(l) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 2031,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2031.png",
+      "answer": "10",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = -2*p*y);p: Number;p>0;F: Point;Focus(C) = F;Q: Curve;Expression(Q) = (x^2/4 + y^2/8 = 1);OneOf(Focus(Q)) = F;PointOnCurve(F, G) = True;G: Line;Intersection(G, C) = {A, B};Negation(A = B);A: Point;B: Point;Intersection(TangentOnPoint(A, C), TangentOnPoint(B, C)) = M;M: Point;XCoordinate(MidPoint(M)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2032,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2032.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);Length(LineSegmentOf(A, B)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 2033,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2033.png",
+      "answer": "sqrt(35)",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + 4*y^2 = 16);Expression(H) = (y = x/2 + 1)",
+      "coords": {}
+    },
+    {
+      "index": 2034,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2034.png",
+      "answer": "4*sqrt(5)",
+      "fact_expr": "G: Line;H: Curve;A: Point;B: Point;Expression(G) = (y = 2*x + 3);Expression(H) = (y = x^2);Intersection(G, H) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2035,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2036,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2037,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2037.png",
+      "answer": "3",
+      "fact_expr": "P: Point;Coordinate(P) = (2, a);a: Number;C: Parabola;Expression(C) = (y^2 = 4*x);PointOnCurve(P, C) = True",
+      "coords": {}
+    },
+    {
+      "index": 2038,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2039,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2040,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2040.png",
+      "answer": "(0, 2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (4, 0);RightFocus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(60, degree);NumIntersection(H, RightPart(G)) = 1",
+      "coords": {
+        "F": [
+          4.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2041,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2041.png",
+      "answer": "8*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;H: Parabola;C: Circle;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y = x^2/4);Center(C)=Focus(H);Radius(C)=Distance(Focus(H),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 2042,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2043,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2043.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G);Max(AngleOf(F1, P, F2)) = (2*pi)/3;a:Number;b:Number;a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 2044,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2045,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2045.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2046,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2047,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2047.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, Asymptote(C)) = True;O: Origin;Abs(LineSegmentOf(O, P)) = 1;Area(TriangleOf(P, F1, F2)) = sqrt(2)*a",
+      "coords": {}
+    },
+    {
+      "index": 2048,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2048.png",
+      "answer": "(0, 1/8)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 2049,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2049.png",
+      "answer": "pm*5",
+      "fact_expr": "G: Hyperbola;P: Point;I: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 - y^2/16 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);VectorOf(F1, I)*Abs(VectorOf(P, F2)) + VectorOf(P, I)*Abs(VectorOf(F1, F2)) + VectorOf(F2, I)*Abs(VectorOf(P, F1)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2050,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2051,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2051.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;B: Point;A: Point;O: Origin;Expression(G) = (x^2 - y^2/2 = 1);PointOnCurve(A, G);PointOnCurve(B, G);DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2052,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2052.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;B: Point;C: Point;A: Point;Expression(G) = (x^2/3 + y^2 = 1);Negation(A=F);OneOf(Focus(G)) = A;PointOnCurve(B, G);PointOnCurve(C, G);F:Point;OneOf(Focus(G))=F;PointOnCurve(F,LineSegmentOf(B,C))",
+      "coords": {}
+    },
+    {
+      "index": 2053,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2053.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2054,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2054.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);IsPerpendicular(LineSegmentOf(P,F2),xAxis);Abs(LineSegmentOf(P,F1))=2*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 2055,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_2055.png",
+      "answer": "(a-p)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);a: Number;Abs(LineSegmentOf(A, B)) = a;a>2*p;M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2056,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2057,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2057.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;M: Point;N: Point;l1: Line;l2: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);L1:Line;L2:Line;PointOnCurve(P,L1);PointOnCurve(P,L2);Asymptote(G)={l1,l2};IsParallel(L1,l1);IsParallel(L2,l2);Intersection(L1,l2)=M;Intersection(L2,l1)=N;Abs(LineSegmentOf(P, M))*Abs(LineSegmentOf(P, N)) = b^2",
+      "coords": {}
+    },
+    {
+      "index": 2058,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/test/parabola/problem_2058.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G:Line;M: Point;A: Point;B: Point;l: Line;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(M) = (1, 0);Directrix(C)=l;PointOnCurve(M,G);Slope(G)=sqrt(3);Intersection(G,l)=A;OneOf(Intersection(G,C))=B;VectorOf(A, M) = VectorOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2059,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2059.png",
+      "answer": "6*sqrt(2)/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);H: Point;Coordinate(H) = (1, 0);l: Line;PointOnCurve(H, l) = True;Inclination(l) = ApplyUnit(45, degree);Intersection(l, G) = {A, B};A: Point;O: Origin;B: Point",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2060,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3228756555322954,
+        "b": 2.2912878474779204,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2060.png",
+      "answer": "x^2/4-y^2/3=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/16 + y^2/9 = 1);Focus(G) = Focus(H);Eccentricity(G)=2*Eccentricity(H)",
+      "coords": {}
+    },
+    {
+      "index": 2061,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2062,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2063,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2063.png",
+      "answer": "{4/7,4}",
+      "fact_expr": "G: Ellipse;C:Ellipse;a: Number;Expression(G) = (a*x^2 + y^2 = 4);Expression(C)=(x^2/12 + y^2/9 = 1);FocalLength(G)=FocalLength(C)",
+      "coords": {}
+    },
+    {
+      "index": 2064,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2065,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/hyperbola/problem_2065.png",
+      "answer": "(sqrt(2),+oo)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;A: Point;B: Point;M:Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;L:Line;OneOf(Asymptote(G))=L;Expression(L)=(y=(b/a)*x);L1:Line;IsPerpendicular(L,L1);FootPoint(L,L1)=M;PointOnCurve(F, L1);Intersection(L1,LeftPart(G)) = A;Intersection(L1,RightPart(G)) = B",
+      "coords": {}
+    },
+    {
+      "index": 2066,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 22.963727951049805,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 107.33567810058594,
+        "converged": false,
+        "iterations": 500
+      },
+      "output_path": "results/test/parabola/problem_2066.png",
+      "answer": "y^2 = -16*x",
+      "fact_expr": "G: Parabola;H: Point;O: Origin;Coordinate(H) = (-4, -8);PointOnCurve(Focus(G), xAxis);PointOnCurve(H, G);Vertex(G) = O",
+      "coords": {
+        "H": [
+          -4.0,
+          -8.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2067,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/ellipse/problem_2067.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2068,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/test/parabola/problem_2068.png",
+      "answer": "32",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);Inclination(G) = ApplyUnit(30, degree);A: Point;B: Point;Intersection(G, C) = {A, B}",
+      "coords": {}
+    }
+  ]
+}
\ No newline at end of file
diff --git a/results/train/circle/problem_0085.png b/results/train/circle/problem_0085.png
new file mode 100644
index 0000000000000000000000000000000000000000..c39e782c0aaf544bd4a5354880d2f684d26cb232
--- /dev/null
+++ b/results/train/circle/problem_0085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:939c8ffac3ff834f0c0824497a49c0bb447a96cf55be36a5b5e64072b790972e
+size 180408
diff --git a/results/train/circle/problem_0117.png b/results/train/circle/problem_0117.png
new file mode 100644
index 0000000000000000000000000000000000000000..402d4983ef403769dfb71291d0660185d414affe
--- /dev/null
+++ b/results/train/circle/problem_0117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99d7b4520274a5b9ff0b5a527629b937127621d1ccea63fc593359b67e4f3cda
+size 191168
diff --git a/results/train/circle/problem_0138.png b/results/train/circle/problem_0138.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f166b531b2aaa90c7b39d56d592509d4bbeb262
--- /dev/null
+++ b/results/train/circle/problem_0138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:314a08ea932fb5fdf111087a9af2ce2a30b10f1623a97e2a06bfb223712a7054
+size 211364
diff --git a/results/train/circle/problem_0250.png b/results/train/circle/problem_0250.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed66b8a7fbf28b98ba19ed7aeca2a7de96abef30
--- /dev/null
+++ b/results/train/circle/problem_0250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3a77d98ca95c518d225615b075b83c3cad929f06ad37adbf44ad4ee16945699
+size 183486
diff --git a/results/train/circle/problem_0354.png b/results/train/circle/problem_0354.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d646afc5ffe88e97e8de4dc781544106c134766
--- /dev/null
+++ b/results/train/circle/problem_0354.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3a6f4f59969cb13ed70d7cf0c18d72d0ce223a2644868128f594323f7953fe1
+size 196008
diff --git a/results/train/circle/problem_0399.png b/results/train/circle/problem_0399.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f5be3c7ba6e88a95f9aee0d5fde6350fbe37215
--- /dev/null
+++ b/results/train/circle/problem_0399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:109de4e473614eb05d13ea6fab2b21329cebe8afb5640c1c58fb97fbc1e04517
+size 240259
diff --git a/results/train/circle/problem_0635.png b/results/train/circle/problem_0635.png
new file mode 100644
index 0000000000000000000000000000000000000000..caa7d1f5f04985c07ca138e27ed17266fdd3dcc9
--- /dev/null
+++ b/results/train/circle/problem_0635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9dc238bbb4fc17e5d052fa74fe64ea90593a36585917cbe6dead899b0ed6b76d
+size 208274
diff --git a/results/train/circle/problem_0722.png b/results/train/circle/problem_0722.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdf9812092c3eb715e856e967504029b7586b0ff
--- /dev/null
+++ b/results/train/circle/problem_0722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e4d3acfcc75b6b67e4f87f4762300ae851048daf1b4f6e52a9dfcefd799dd5d
+size 204682
diff --git a/results/train/circle/problem_0756.png b/results/train/circle/problem_0756.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7e593768c7a567df084cbff48be88e90ef77a77
--- /dev/null
+++ b/results/train/circle/problem_0756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e88515f887894f2059c2f9f4113d47efd44041c7e605084008ce1ed6096195f
+size 211899
diff --git a/results/train/circle/problem_0762.png b/results/train/circle/problem_0762.png
new file mode 100644
index 0000000000000000000000000000000000000000..d87425d1debc3247f71d6abe0b79691d19ddcbea
--- /dev/null
+++ b/results/train/circle/problem_0762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ea326840d96dcf48affdb9d1df314106b080517496050c75f92ab1055a7d6bd
+size 205955
diff --git a/results/train/circle/problem_0876.png b/results/train/circle/problem_0876.png
new file mode 100644
index 0000000000000000000000000000000000000000..20bb2c27db61c8b21759aa4343e734e01dca0d43
--- /dev/null
+++ b/results/train/circle/problem_0876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2958bec552ca9133f478d67dfba9fdb9108332b20910196df384235e839be537
+size 220346
diff --git a/results/train/circle/problem_0980.png b/results/train/circle/problem_0980.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c7b01ffb04ef3255500d1ac773e87357b2e6022
--- /dev/null
+++ b/results/train/circle/problem_0980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd81243ae38db1258151b0c144d47f2e5d70cc3880a5e766dd94b5a66ffe7083
+size 215353
diff --git a/results/train/circle/problem_1035.png b/results/train/circle/problem_1035.png
new file mode 100644
index 0000000000000000000000000000000000000000..deab21280f6fc6bf067c028fa4ba59f0a534fff3
--- /dev/null
+++ b/results/train/circle/problem_1035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6604dbd402e6d1580c23f9c906e2d0226814c1699e62ed8fcba2a834f2393e02
+size 197837
diff --git a/results/train/circle/problem_1100.png b/results/train/circle/problem_1100.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd80ae6247a4bf97baabbcabc90fcc7e53531ef9
--- /dev/null
+++ b/results/train/circle/problem_1100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d3a2d88c810fd2fe19c1d3355d2716b3f079676f4bdb699f1e119f95fe6d1ee
+size 195141
diff --git a/results/train/circle/problem_1184.png b/results/train/circle/problem_1184.png
new file mode 100644
index 0000000000000000000000000000000000000000..b166a4ac63fe38d6e5bb7f01b0cb192f3ba70a95
--- /dev/null
+++ b/results/train/circle/problem_1184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6354a4ba953679579c1f7180e9736785ff3b337e7972293163d3d85897d11fc
+size 233490
diff --git a/results/train/circle/problem_1365.png b/results/train/circle/problem_1365.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a5931f8a0711ed3c3404471b3fecbe33aa7bccf
--- /dev/null
+++ b/results/train/circle/problem_1365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ac5ddb0fa1534c713a924a83dd3a2278d08a3c4815f026e73aa69de2fa7c279
+size 193721
diff --git a/results/train/circle/problem_1406.png b/results/train/circle/problem_1406.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e56e4e15e4ba306fd27243a4ee685ea0703601f
--- /dev/null
+++ b/results/train/circle/problem_1406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:240306d1099bf36c330a06133a709d5b8a50255e1728c0749379407fa4da0449
+size 211279
diff --git a/results/train/circle/problem_1490.png b/results/train/circle/problem_1490.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3f8bcbf0558e01cdf11cc604777c55518f44c46
--- /dev/null
+++ b/results/train/circle/problem_1490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9191a4fa9548c829ce304329f7933b5bc838933cf3ee93c85b975e61ce32f89c
+size 237913
diff --git a/results/train/circle/problem_1611.png b/results/train/circle/problem_1611.png
new file mode 100644
index 0000000000000000000000000000000000000000..4862ae6b6267e5d23164babec43688610f125542
--- /dev/null
+++ b/results/train/circle/problem_1611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0fd83f98966e501654aca7327cde3825c12981ce441a6995ba4dbf329cbe18a
+size 213150
diff --git a/results/train/circle/problem_1804.png b/results/train/circle/problem_1804.png
new file mode 100644
index 0000000000000000000000000000000000000000..b71f2e9e2d71feedae9af1bfe7be7675c1f2aa6f
--- /dev/null
+++ b/results/train/circle/problem_1804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b20c5aa2730f1e74931bdfd91fabe2da783af5f4e6972ccfa2ad1e6527b6818f
+size 189457
diff --git a/results/train/circle/problem_1842.png b/results/train/circle/problem_1842.png
new file mode 100644
index 0000000000000000000000000000000000000000..256c7aada7b77b75d7c6ea132e84354778774b44
--- /dev/null
+++ b/results/train/circle/problem_1842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3244ccb117cb4aa47456a6a729921b05b6e36c83b0071a004357d4eda2d73010
+size 188421
diff --git a/results/train/circle/problem_1953.png b/results/train/circle/problem_1953.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8de55d4a27f2aca0a3a2edf2474cdfb1a52621b
--- /dev/null
+++ b/results/train/circle/problem_1953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a61c24456455fae1b7a643d943dc9bda80fc47141b5c2d8b49b28f39adc1a314
+size 198407
diff --git a/results/train/circle/problem_2006.png b/results/train/circle/problem_2006.png
new file mode 100644
index 0000000000000000000000000000000000000000..aac4d5472c63398a391f02323d8b9779eac93491
--- /dev/null
+++ b/results/train/circle/problem_2006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aaf0844875f09812d26d97151b211bb2fcfac40f4cf457b9672dcc616d420195
+size 197008
diff --git a/results/train/circle/problem_2152.png b/results/train/circle/problem_2152.png
new file mode 100644
index 0000000000000000000000000000000000000000..d91788889705e2cf5bd9a407eddfb1d4bc9927b7
--- /dev/null
+++ b/results/train/circle/problem_2152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f47788694f1f45370a6b40c4ffa0a27fc02efe35f6c7f4a56c454f29354a02a
+size 198032
diff --git a/results/train/circle/problem_2208.png b/results/train/circle/problem_2208.png
new file mode 100644
index 0000000000000000000000000000000000000000..1867dc4ad22b715991271c84fc437bcd7475ec50
--- /dev/null
+++ b/results/train/circle/problem_2208.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33cdbef6ed3508280a4c108ce7bf2a77b56280c314c9dd0c20229e9b1c2cbc9b
+size 213043
diff --git a/results/train/circle/problem_2270.png b/results/train/circle/problem_2270.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c4d5fc782ed7831882c5f6120156f3bdb28fed6
--- /dev/null
+++ b/results/train/circle/problem_2270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12b5449b6aa1087979cd788eac0b33f9731f666b2aa79cca1e815fdbe4464447
+size 200888
diff --git a/results/train/circle/problem_2299.png b/results/train/circle/problem_2299.png
new file mode 100644
index 0000000000000000000000000000000000000000..135f31c5bd67fc5229d43f4f99e84eb09eee1a3c
--- /dev/null
+++ b/results/train/circle/problem_2299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38b3d9b334369fef671c4d2dd82bbbb571adc0b5913e6a6e24bea75166c038ab
+size 205521
diff --git a/results/train/circle/problem_2376.png b/results/train/circle/problem_2376.png
new file mode 100644
index 0000000000000000000000000000000000000000..3deab3bc1b70ce591a0d3ed1e46d97fc682558bf
--- /dev/null
+++ b/results/train/circle/problem_2376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36b555fa3f4e5a43042b11b961b36396633a8cb704cb56474674d527eaefdc25
+size 195266
diff --git a/results/train/circle/problem_2483.png b/results/train/circle/problem_2483.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e39e5145609279a84f283363fd48c5c7f3137d5
--- /dev/null
+++ b/results/train/circle/problem_2483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5681eabcb4a09334dd672dc51ffc9e783151b818441b5ad34aa349c241d58c9c
+size 199594
diff --git a/results/train/circle/problem_2557.png b/results/train/circle/problem_2557.png
new file mode 100644
index 0000000000000000000000000000000000000000..8292383daab2a60d748c65fe355de6b241635fed
--- /dev/null
+++ b/results/train/circle/problem_2557.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a749a74bb083c3a3b58b7f8360e6ea3c7ccf865378e0acf7122cdb27242059a
+size 202964
diff --git a/results/train/circle/problem_2595.png b/results/train/circle/problem_2595.png
new file mode 100644
index 0000000000000000000000000000000000000000..fff3e8ebc56698d66326dc681c7ec34ecf352fc8
--- /dev/null
+++ b/results/train/circle/problem_2595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e30b6efe4e5d0e327b3ced2911f1cc65042deb959bcc34254accea1e5724e4be
+size 204812
diff --git a/results/train/circle/problem_2627.png b/results/train/circle/problem_2627.png
new file mode 100644
index 0000000000000000000000000000000000000000..507bd2b1827de85dfed4b4fc6f82ed0e87838745
--- /dev/null
+++ b/results/train/circle/problem_2627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b75d22934a8f89cd6bf98a0a605c1fa619c0494344cd49d3ae21d7a1b41832fc
+size 207592
diff --git a/results/train/circle/problem_2858.png b/results/train/circle/problem_2858.png
new file mode 100644
index 0000000000000000000000000000000000000000..2dd9b5144b8b6ff946a5bee21a92c06d73508d0d
--- /dev/null
+++ b/results/train/circle/problem_2858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92933de51966b8a86c6cedc28e933ba4fa44dfb7581535c1554be0cdd2edfbd3
+size 195748
diff --git a/results/train/circle/problem_2877.png b/results/train/circle/problem_2877.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf9e5c1aaa2709e9dd566819db6276d4aedf6d36
--- /dev/null
+++ b/results/train/circle/problem_2877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39045bf99738fb5dfecc20a6c250270a609583b50946201b32213f7027e155f0
+size 212979
diff --git a/results/train/circle/problem_3024.png b/results/train/circle/problem_3024.png
new file mode 100644
index 0000000000000000000000000000000000000000..c58dd34f5b82a4300b65467bb5a1e9305ee073c8
--- /dev/null
+++ b/results/train/circle/problem_3024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:20a6d0e843b75cf1d6554bd93672d6372468432ff174ad62ac4afc01a00256f3
+size 206987
diff --git a/results/train/circle/problem_3155.png b/results/train/circle/problem_3155.png
new file mode 100644
index 0000000000000000000000000000000000000000..242eedce905f3b88983bef53fa5f7ac79cb05203
--- /dev/null
+++ b/results/train/circle/problem_3155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46c9e27917e5dda3e00a0f5e14c15fb9ef4febba4dd2eb68b69708e55a4305f6
+size 186122
diff --git a/results/train/circle/problem_3158.png b/results/train/circle/problem_3158.png
new file mode 100644
index 0000000000000000000000000000000000000000..affb97481eefd4b689742e78315623d57c75574d
--- /dev/null
+++ b/results/train/circle/problem_3158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75d0a0b5f33da7c0e5fe1f8e130599aab4bd2ebd7182e1311e21cf9f9ef3f1ae
+size 222582
diff --git a/results/train/circle/problem_3201.png b/results/train/circle/problem_3201.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef42c4e14d588708273a647c98470efe7b03c8b5
--- /dev/null
+++ b/results/train/circle/problem_3201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c847485ac39f61dae2fd6855360f9a6e219698c76b53155b751e1aeb3b9dcf26
+size 195026
diff --git a/results/train/circle/problem_3420.png b/results/train/circle/problem_3420.png
new file mode 100644
index 0000000000000000000000000000000000000000..4966ada8ee40fce617a1e8d48a4217948f44cea8
--- /dev/null
+++ b/results/train/circle/problem_3420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a62e032a41df37fdc0949b08eebd14ece241c7d78654cf6753b792316fdf0b55
+size 195394
diff --git a/results/train/circle/problem_3550.png b/results/train/circle/problem_3550.png
new file mode 100644
index 0000000000000000000000000000000000000000..58105efc04fb1f2c757527d88765adfdbf914266
--- /dev/null
+++ b/results/train/circle/problem_3550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:253b96f869921838d127b7c397fac341ac9ae469fd2a4b335a327f4cf7788d5b
+size 194151
diff --git a/results/train/circle/problem_3664.png b/results/train/circle/problem_3664.png
new file mode 100644
index 0000000000000000000000000000000000000000..41e197d328d4fb229dd169195204cd3c75da96df
--- /dev/null
+++ b/results/train/circle/problem_3664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68b5e30ad75e80ddd0ce97a8721159ee8498ab51b249b101535b6283a83661de
+size 221539
diff --git a/results/train/circle/problem_3777.png b/results/train/circle/problem_3777.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebb9b087266366f687fd32f294e0d9b423d19a94
--- /dev/null
+++ b/results/train/circle/problem_3777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:003380cf15949ad351b5a509ba85e820685e846e2a3e303e5df847d039517525
+size 242720
diff --git a/results/train/circle/problem_3781.png b/results/train/circle/problem_3781.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f3765dbc936ca3aef9736204959b0d35326f6f5
--- /dev/null
+++ b/results/train/circle/problem_3781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d5edc8e39c7cd7bc2879bb358421bd278645b41a435433e73429f9466348c88
+size 196042
diff --git a/results/train/circle/problem_3816.png b/results/train/circle/problem_3816.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8d2dd82bd8dd6afcc39d55ba8cccafa872a1114
--- /dev/null
+++ b/results/train/circle/problem_3816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60f54c66d44dd7a63ff21a03ff49b1c06a31fb81c818707e3bc2fc93dcb748c9
+size 198759
diff --git a/results/train/circle/problem_3882.png b/results/train/circle/problem_3882.png
new file mode 100644
index 0000000000000000000000000000000000000000..78937feef3b9c80d4d26d73e5aeb50793715348c
--- /dev/null
+++ b/results/train/circle/problem_3882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06332edb0789473ace3224d555d3049e534d40a9b69ab494d1b094d72ed42ad8
+size 202964
diff --git a/results/train/circle/problem_4027.png b/results/train/circle/problem_4027.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd79950385d23342efe3f4958c7a7b6b67c8f23c
--- /dev/null
+++ b/results/train/circle/problem_4027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95648236bf422220b2fcd08957d848d6befd78b9d397ab58abcec59bd2a193e6
+size 243650
diff --git a/results/train/circle/problem_4124.png b/results/train/circle/problem_4124.png
new file mode 100644
index 0000000000000000000000000000000000000000..21c799e61450b770279bd7e518a1713e25f4d795
--- /dev/null
+++ b/results/train/circle/problem_4124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fc31c56c5bf8922f11e6e9a0cc35b8e7ea4fea88a6043503ba6039861229f8f
+size 194402
diff --git a/results/train/circle/problem_4229.png b/results/train/circle/problem_4229.png
new file mode 100644
index 0000000000000000000000000000000000000000..961b0df6270aab66a0f228c0dd739cce099fe29a
--- /dev/null
+++ b/results/train/circle/problem_4229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:114d695adc813102ac5ae8464cedb6321de1d7607c23646895fb0bb2180e5f7f
+size 201203
diff --git a/results/train/circle/problem_4325.png b/results/train/circle/problem_4325.png
new file mode 100644
index 0000000000000000000000000000000000000000..c37f8015b7754d4de087e126c32024ccee76af15
--- /dev/null
+++ b/results/train/circle/problem_4325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d14f2e0c3aecc9dbbbf1fb947907380a8f4174fe8b9f9eaceca74db7bd324c12
+size 192972
diff --git a/results/train/circle/problem_4363.png b/results/train/circle/problem_4363.png
new file mode 100644
index 0000000000000000000000000000000000000000..a29d2b03da507b7eec5873a0d2501617660ff05e
--- /dev/null
+++ b/results/train/circle/problem_4363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff361168f3a14e1356aad15082f9fa4a1c8cb4cfd4d85edb03ac93868bf7f1f0
+size 236798
diff --git a/results/train/circle/problem_4389.png b/results/train/circle/problem_4389.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7d8a7a6de96a556c2665faa0197f96481e92ed9
--- /dev/null
+++ b/results/train/circle/problem_4389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6aa43ba13ce1f95624f010bf35364b1fd452f71a40bd579e5ed7d541202e1ea0
+size 201573
diff --git a/results/train/circle/problem_4394.png b/results/train/circle/problem_4394.png
new file mode 100644
index 0000000000000000000000000000000000000000..e332cf2a49066b5d9a3281ca5899d9d1896e079b
--- /dev/null
+++ b/results/train/circle/problem_4394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c536e52a1e2309c7e62a56bcc107a83b66952bfb3e40584f2554b11f5e3a2ca4
+size 191619
diff --git a/results/train/circle/problem_4453.png b/results/train/circle/problem_4453.png
new file mode 100644
index 0000000000000000000000000000000000000000..833900e587ca6c08ab01aef6f9d4f96248d2440c
--- /dev/null
+++ b/results/train/circle/problem_4453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6fda6e629d2098c3c0bdca105656fdf5c66918f5bbe4a946ef5f8a2fb5eedca
+size 188309
diff --git a/results/train/circle/problem_4475.png b/results/train/circle/problem_4475.png
new file mode 100644
index 0000000000000000000000000000000000000000..c13a3c686e8821612dceb1c7f61a9a801cc777b8
--- /dev/null
+++ b/results/train/circle/problem_4475.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:921a43b58f4dec99fe9f46e3931b5f3ed2fde4699950ce91248e9770a31a21c8
+size 202345
diff --git a/results/train/circle/problem_4570.png b/results/train/circle/problem_4570.png
new file mode 100644
index 0000000000000000000000000000000000000000..17d11b41e3a7a8c703af4ebd6f88d5c1f83a2a1d
--- /dev/null
+++ b/results/train/circle/problem_4570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1c4d43742bcf4166b611111230ee9a5d05ee7c3a0d4c45f6edc2a6c78e79b83
+size 194229
diff --git a/results/train/circle/problem_4571.png b/results/train/circle/problem_4571.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee990d1437ad24fae1c335ececb0026fa3c5ccee
--- /dev/null
+++ b/results/train/circle/problem_4571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f995837de84808c695539d0bc53b1a68e1d9e17e303e2122941326f0a93304b
+size 198086
diff --git a/results/train/circle/problem_4637.png b/results/train/circle/problem_4637.png
new file mode 100644
index 0000000000000000000000000000000000000000..f56d5ce35989c01eedaa81f0f22c43494e4f9eb8
--- /dev/null
+++ b/results/train/circle/problem_4637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfd76c89bbdd28dc77c88f3a48cc7ac721a9dbac331f67bce6d5d19895cf139d
+size 221942
diff --git a/results/train/circle/problem_4771.png b/results/train/circle/problem_4771.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b113f041c7497c8bd9415e769f83416301b2a5c
--- /dev/null
+++ b/results/train/circle/problem_4771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9c7dfeb464ec950201743999a4d75eecb2371f50dd31bf683c2b58f3b31b22c
+size 216284
diff --git a/results/train/circle/problem_4948.png b/results/train/circle/problem_4948.png
new file mode 100644
index 0000000000000000000000000000000000000000..09789e44ad914b134d78ad517ff897ab5621d08d
--- /dev/null
+++ b/results/train/circle/problem_4948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e4bd4bc003fa947432ed3c081a82690a9b7a5c0104a3f332c2f86dd74522916
+size 204512
diff --git a/results/train/circle/problem_4952.png b/results/train/circle/problem_4952.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7edbbec70c944c8f92fd55e1c7ff738ad5a4815
--- /dev/null
+++ b/results/train/circle/problem_4952.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:085c193786e7008d5042d77f5e48327023e0334c0f810b95baaee626237594e4
+size 227535
diff --git a/results/train/circle/problem_5069.png b/results/train/circle/problem_5069.png
new file mode 100644
index 0000000000000000000000000000000000000000..c91e097e2bc729f94c9727749811043400567669
--- /dev/null
+++ b/results/train/circle/problem_5069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6755bbd2e7f6d4a2a9cc83faeed6786e8c7087d7b00ea492f1fbc72fc47f8ef
+size 232872
diff --git a/results/train/circle/problem_5097.png b/results/train/circle/problem_5097.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfdf3dfd72cafe586e50d4bebddf25f06ecfd88c
--- /dev/null
+++ b/results/train/circle/problem_5097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f560dd959943358bde4fa031ef98d1f914f008be6cad3d8697451463b0e6b4c1
+size 198749
diff --git a/results/train/circle/problem_5100.png b/results/train/circle/problem_5100.png
new file mode 100644
index 0000000000000000000000000000000000000000..eff62012cb7d6c8392d1a8f473f7e25ea001a210
--- /dev/null
+++ b/results/train/circle/problem_5100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee1a24da28a43973c3be04bde99cf54ab188ae0f22c84b9371893c34e19c6037
+size 195485
diff --git a/results/train/circle/problem_5112.png b/results/train/circle/problem_5112.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bedb2489f91cde0913124b9d4d1d897949678ca
--- /dev/null
+++ b/results/train/circle/problem_5112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea47a9abbe4746988d6136f6d1ab965b1007fbbe55afd2459c70d6c55ad56d1e
+size 194878
diff --git a/results/train/circle/problem_5190.png b/results/train/circle/problem_5190.png
new file mode 100644
index 0000000000000000000000000000000000000000..e59016f2112c80e82802270f362840889dd642f0
--- /dev/null
+++ b/results/train/circle/problem_5190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bae5d0476b5ef64250ee06569dac42a68352f022d0e77e0b2e7e57a484ff6ca4
+size 193869
diff --git a/results/train/circle/problem_5267.png b/results/train/circle/problem_5267.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9e13aac165efbf6e506f38222bb834eb919ef04
--- /dev/null
+++ b/results/train/circle/problem_5267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d49656699d7223c0e051a2b2750c5d0deddcd05d57a830587753620cef2bfcd3
+size 197289
diff --git a/results/train/circle/problem_5275.png b/results/train/circle/problem_5275.png
new file mode 100644
index 0000000000000000000000000000000000000000..d05641dfaf3723af23d47aa0dad0d6a2f47f1005
--- /dev/null
+++ b/results/train/circle/problem_5275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f49e1af7ea93a5d2573789299051e391bc105e9e05e352357f2c695c6a1b6e5
+size 203552
diff --git a/results/train/circle/problem_5319.png b/results/train/circle/problem_5319.png
new file mode 100644
index 0000000000000000000000000000000000000000..6341947d9c57d1354d4930b8236af7da92928a6d
--- /dev/null
+++ b/results/train/circle/problem_5319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9f627fe4bc4027fa56fad95bf5785dcb6b0e4b220358ae0a4fe744322715163
+size 202321
diff --git a/results/train/circle/problem_5569.png b/results/train/circle/problem_5569.png
new file mode 100644
index 0000000000000000000000000000000000000000..4567d302f26334a061833ffe56ecc2838c5b7208
--- /dev/null
+++ b/results/train/circle/problem_5569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a817ea63cdbedd51912996cecf66288415188455a36722d34b6c97b1401faf56
+size 198443
diff --git a/results/train/circle/problem_5610.png b/results/train/circle/problem_5610.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cc0171c119867a9cc7a9fa0fbc4cbe374964dd6
--- /dev/null
+++ b/results/train/circle/problem_5610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a42f55979667d178d1bd88a1beb91b20aeaed068b1884ed2df1af7f717e29b6
+size 193163
diff --git a/results/train/circle/problem_5694.png b/results/train/circle/problem_5694.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7aff7b579e75eda13088b633660cab5321340cf
--- /dev/null
+++ b/results/train/circle/problem_5694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8f9a96e546e09489307a467dbf40f5511ab52b5606c530a9674500462f46e15
+size 198285
diff --git a/results/train/circle/problem_5745.png b/results/train/circle/problem_5745.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d2b76135617eaf477c16f98a1be3277416c7d33
--- /dev/null
+++ b/results/train/circle/problem_5745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee869048e0bc36c4f9298e384d4ffd245fc6c69fd8748296a68a1bbe0ab5aa07
+size 211127
diff --git a/results/train/circle/problem_5792.png b/results/train/circle/problem_5792.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9ac20e4abd67f78607bcf83e2ff58dc23637706
--- /dev/null
+++ b/results/train/circle/problem_5792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c39d8b1487e1ea34359b1117372ae6811dad69b3f08034ae5bbcf06bda5de192
+size 232523
diff --git a/results/train/circle/problem_5814.png b/results/train/circle/problem_5814.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab996b30a625e0a3d0a996640e4def48909fae98
--- /dev/null
+++ b/results/train/circle/problem_5814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09b37527d8007addf31407189110884f5f8187546da07ea6fd46a0151ea72e69
+size 222586
diff --git a/results/train/circle/problem_5986.png b/results/train/circle/problem_5986.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb70c130211f73b31a272294da41ae688299a11c
--- /dev/null
+++ b/results/train/circle/problem_5986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23c0826ede763b5820ba93409b8f121735d8a533954964c36ffc34fa6f6d4e6e
+size 202468
diff --git a/results/train/circle/problem_6022.png b/results/train/circle/problem_6022.png
new file mode 100644
index 0000000000000000000000000000000000000000..64273214ecbd2935d909b5df53b4936852405133
--- /dev/null
+++ b/results/train/circle/problem_6022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aae43370d889d9b16ce4dc032d3f0206887be792e14cbcc900d827089459a110
+size 205375
diff --git a/results/train/circle/problem_6122.png b/results/train/circle/problem_6122.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7d8e6c1a7bd0cf2ed8d5912b8778ee16b92c720
--- /dev/null
+++ b/results/train/circle/problem_6122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe17c75c3f9d281c902c3892b4214d580ab14ef966d82f6888c61436c98170a0
+size 202258
diff --git a/results/train/circle/problem_6220.png b/results/train/circle/problem_6220.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa6b2cbdc0e5dc21a724620cfc3bfed3242e0b1d
--- /dev/null
+++ b/results/train/circle/problem_6220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc7f76cde19a8b2196235935ebc3ab42c15f9ef51691b6384dcb17fe5f6cf30c
+size 214356
diff --git a/results/train/circle/problem_6279.png b/results/train/circle/problem_6279.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed81f13495cc402b073b4e6ee08e031c6b49073c
--- /dev/null
+++ b/results/train/circle/problem_6279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:808b416ec8da3473c6ddca3238fdda867dde108c6c76bee1d356222b1c853da1
+size 207090
diff --git a/results/train/circle/problem_6586.png b/results/train/circle/problem_6586.png
new file mode 100644
index 0000000000000000000000000000000000000000..432d136aeae3eaee286be4cdf8caf523ed4a4f80
--- /dev/null
+++ b/results/train/circle/problem_6586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:448bc920cfa166f2658ad4b1d9130007978f23db1ce82a081477c4e893fab994
+size 203343
diff --git a/results/train/circle/problem_6727.png b/results/train/circle/problem_6727.png
new file mode 100644
index 0000000000000000000000000000000000000000..28db3025db0b71fdd2d9f8273d4c965a100a7413
--- /dev/null
+++ b/results/train/circle/problem_6727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13ee0beae8f90b924bb440cb950c1405fc0b0fde0a8534c5cf990dfeed838ba1
+size 202097
diff --git a/results/train/circle/problem_6741.png b/results/train/circle/problem_6741.png
new file mode 100644
index 0000000000000000000000000000000000000000..223bff903a9ed9ddd93f07051cda2d72032a7a99
--- /dev/null
+++ b/results/train/circle/problem_6741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4de9ac8539f273cba70eb2d87edcd93b617be9d561a1e7113881f8b8c380aaec
+size 215964
diff --git a/results/train/circle/problem_6884.png b/results/train/circle/problem_6884.png
new file mode 100644
index 0000000000000000000000000000000000000000..b63ea25b518f9122f935e8aa10eb786370f0ea33
--- /dev/null
+++ b/results/train/circle/problem_6884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4501ec286950dad885be1b9aa0ee3aa47cd09c0fbf50e98c94147e89ccfa46b1
+size 218797
diff --git a/results/train/circle/problem_6933.png b/results/train/circle/problem_6933.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f2f94625f2b5c97d2e5f3bf156bd6f443781523
--- /dev/null
+++ b/results/train/circle/problem_6933.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61c7ca1161f71318c9200922a1a952a0fcdbe690596fb57573c266149ccd88c9
+size 193737
diff --git a/results/train/circle/problem_6942.png b/results/train/circle/problem_6942.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba7a3cc18dc50bb7c0d442e1cfc0780156da0188
--- /dev/null
+++ b/results/train/circle/problem_6942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8a6859816c56497fe323ddc56001119a2bfd666efb16123b3c51a058e883ca3
+size 201249
diff --git a/results/train/circle/problem_7004.png b/results/train/circle/problem_7004.png
new file mode 100644
index 0000000000000000000000000000000000000000..7766ad0b3bd7e9e69f8eae1ea916456a7ec8eecf
--- /dev/null
+++ b/results/train/circle/problem_7004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fdc9907df22455a471145c7b04e77722f946a7b5d4469d2b35c535f0d040a59
+size 218945
diff --git a/results/train/circle/problem_7025.png b/results/train/circle/problem_7025.png
new file mode 100644
index 0000000000000000000000000000000000000000..96bbf8cefd990381abd2f36051061eb8dfc08e43
--- /dev/null
+++ b/results/train/circle/problem_7025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:faad2e04c65bfdd5955383022319a2744e244a05af3cc73c51300c415ebc696b
+size 189373
diff --git a/results/train/circle/problem_7193.png b/results/train/circle/problem_7193.png
new file mode 100644
index 0000000000000000000000000000000000000000..63b3f661f69029e6c588392e0fece7c27660c017
--- /dev/null
+++ b/results/train/circle/problem_7193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6f6ffc2daa84c3adc1f95fb8ed1e268f93fbb17a6de2dfb6bef395f4d3007c9
+size 205746
diff --git a/results/train/circle/problem_7414.png b/results/train/circle/problem_7414.png
new file mode 100644
index 0000000000000000000000000000000000000000..725dfdb9f9f87d382c5d4a690db851f66b208362
--- /dev/null
+++ b/results/train/circle/problem_7414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a721a31f0c1c81d101eede55df5a9dfc51bad239555897cac19c0252941a630
+size 201483
diff --git a/results/train/circle/problem_7528.png b/results/train/circle/problem_7528.png
new file mode 100644
index 0000000000000000000000000000000000000000..f33174607df743559994e933daea0f6bc37f5aef
--- /dev/null
+++ b/results/train/circle/problem_7528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:662b573eaba937b221dcf6d21891491165adca1f1c6ed8e652a36e6ef39f6d92
+size 215665
diff --git a/results/train/circle/problem_7579.png b/results/train/circle/problem_7579.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a63ab9dae9c0382acd48bd2b21c833a42e163b0
--- /dev/null
+++ b/results/train/circle/problem_7579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ab6d7aec9f939ee952992d4d916ebff56b73211334295a909055ca245b99e66
+size 190619
diff --git a/results/train/ellipse/problem_0000.png b/results/train/ellipse/problem_0000.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd36dc3121b0d3baad90de2c24b02584588c91b7
--- /dev/null
+++ b/results/train/ellipse/problem_0000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc8afbbf666808846b5b0e227e74b8435423c072332d138f009c744373e512ac
+size 218274
diff --git a/results/train/ellipse/problem_0006.png b/results/train/ellipse/problem_0006.png
new file mode 100644
index 0000000000000000000000000000000000000000..a58b554201fd5f38af1a88d6c790f1acb83b05c7
--- /dev/null
+++ b/results/train/ellipse/problem_0006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e0dc05c2b3d661fd1b4bb626cabba2582d2a9ad87f9c4c7d44be1e941db2fb9
+size 212162
diff --git a/results/train/ellipse/problem_0016.png b/results/train/ellipse/problem_0016.png
new file mode 100644
index 0000000000000000000000000000000000000000..f75bf05d87d293c218cfd9f1d537449df0b369dd
--- /dev/null
+++ b/results/train/ellipse/problem_0016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec42624251af708a0d9a46b333fba470349981a9ffcc61312906c8bff0adad43
+size 217790
diff --git a/results/train/ellipse/problem_0028.png b/results/train/ellipse/problem_0028.png
new file mode 100644
index 0000000000000000000000000000000000000000..11fa9b339d093dc0439d20ed233cb8eda98c9828
--- /dev/null
+++ b/results/train/ellipse/problem_0028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0c954adae04ce6660a023af92403caccc19d6bcd71e164077a42ae9aabf602c
+size 232104
diff --git a/results/train/ellipse/problem_0034.png b/results/train/ellipse/problem_0034.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dd9007cbfed13ec6a143a526e4a9f33a7fa4fab
--- /dev/null
+++ b/results/train/ellipse/problem_0034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2abaf7a46a059b353dc2ccd56e6bd497738f6f5bee1fc0070203984b66404635
+size 225566
diff --git a/results/train/ellipse/problem_0037.png b/results/train/ellipse/problem_0037.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf224684d42d30276aa23782ad02fd4850bfb818
--- /dev/null
+++ b/results/train/ellipse/problem_0037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0349e3913ed0da77c669b87ffd58b4f63738b27ba55a85808ce074c82b3fdad0
+size 224623
diff --git a/results/train/ellipse/problem_0048.png b/results/train/ellipse/problem_0048.png
new file mode 100644
index 0000000000000000000000000000000000000000..24473548a9f74ba55079e07e69373f40b49633fb
--- /dev/null
+++ b/results/train/ellipse/problem_0048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97426e899622b9200aa41474036c42c85e779536815d2f33162a73ae70bc7be1
+size 255187
diff --git a/results/train/ellipse/problem_0053.png b/results/train/ellipse/problem_0053.png
new file mode 100644
index 0000000000000000000000000000000000000000..738a6f0ebb07d8db403c2c4bdadf6a82c0e3bd0d
--- /dev/null
+++ b/results/train/ellipse/problem_0053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9e0eb7a89370995661f6b356129f550aa900108c02a5493e4c31437de847933
+size 223054
diff --git a/results/train/ellipse/problem_0057.png b/results/train/ellipse/problem_0057.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfdf849c107a5100e1be44fecefebcb29206e506
--- /dev/null
+++ b/results/train/ellipse/problem_0057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c66836369d71d55fdff0eb6fcc976a6b599234727d15f88c39c2890a4e1ee5f6
+size 222845
diff --git a/results/train/ellipse/problem_0060.png b/results/train/ellipse/problem_0060.png
new file mode 100644
index 0000000000000000000000000000000000000000..a41610322b6bfa9f3ec7bf9b32cf199b54607231
--- /dev/null
+++ b/results/train/ellipse/problem_0060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f1332aa77e3f822f22d966c9f92e8efd332a455b7db8bc45b3e8a635d3a1573
+size 217089
diff --git a/results/train/ellipse/problem_0063.png b/results/train/ellipse/problem_0063.png
new file mode 100644
index 0000000000000000000000000000000000000000..873550cf0258905a47d441c68017e55f154473b1
--- /dev/null
+++ b/results/train/ellipse/problem_0063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1268f3addfffddf78e018dfd73e466be16190d0bc18218279f9bc1932707557a
+size 222201
diff --git a/results/train/ellipse/problem_0065.png b/results/train/ellipse/problem_0065.png
new file mode 100644
index 0000000000000000000000000000000000000000..a11450372595d542bb456cd0ce6f550f9f36845f
--- /dev/null
+++ b/results/train/ellipse/problem_0065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75369901bb485eb575265553fa18a99a9989b1fc42ef393d4a64bba005519511
+size 238284
diff --git a/results/train/ellipse/problem_0069.png b/results/train/ellipse/problem_0069.png
new file mode 100644
index 0000000000000000000000000000000000000000..df4a04dd6dff787d3324299dfb8b297d0c1e70b4
--- /dev/null
+++ b/results/train/ellipse/problem_0069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:944a393624327af69205c9632ec624502df2399269527f7c11fc717e06c3d832
+size 225222
diff --git a/results/train/ellipse/problem_0074.png b/results/train/ellipse/problem_0074.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3e6cd34784b62673fbf7f5918aeaa95df554fe4
--- /dev/null
+++ b/results/train/ellipse/problem_0074.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cab58dae2d5c725a5d838336c1b67db5583148f99684000aa22afb84e4e3133f
+size 225430
diff --git a/results/train/ellipse/problem_0075.png b/results/train/ellipse/problem_0075.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b8b596d6a3ea43ba79862ff24a579929680d1de
--- /dev/null
+++ b/results/train/ellipse/problem_0075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8d9f1c2eb1af101042e51f9db2372363a1dd984adeb4ab333c4b653427a1ea8
+size 211582
diff --git a/results/train/ellipse/problem_0076.png b/results/train/ellipse/problem_0076.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b72013de97d221a16cfa0d383da202379a6cc84
--- /dev/null
+++ b/results/train/ellipse/problem_0076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05c7ae3249fa8b6c186db544aab95d8c166c1d3f28525483edb446925b398f96
+size 225617
diff --git a/results/train/ellipse/problem_0078.png b/results/train/ellipse/problem_0078.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cc3203a58551bbb41f9a8055b135eb7a1528b03
--- /dev/null
+++ b/results/train/ellipse/problem_0078.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adcf7c30f8ae5fec7e3f06adf6aef81a21023d23ce9d6040f107f3e8bf9d7e5a
+size 213034
diff --git a/results/train/ellipse/problem_0079.png b/results/train/ellipse/problem_0079.png
new file mode 100644
index 0000000000000000000000000000000000000000..81cc75a1de78533c493b7289c857396a459884af
--- /dev/null
+++ b/results/train/ellipse/problem_0079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4aa7c3ca8915a605fc8065fa1194ed279e40e5db1258334c79d4e5354ae23ae6
+size 221840
diff --git a/results/train/ellipse/problem_0080.png b/results/train/ellipse/problem_0080.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe74b1509304626fdcc46757067338d549727486
--- /dev/null
+++ b/results/train/ellipse/problem_0080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3af9953db653880f56f5424e4dce70bf8398c68c97f6961852409c135719865d
+size 229147
diff --git a/results/train/ellipse/problem_0083.png b/results/train/ellipse/problem_0083.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c853eda74929c71e8821924b7c38a198f3e0fa0
--- /dev/null
+++ b/results/train/ellipse/problem_0083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb9b04b621c09f2ca990f95bddf62a6e8376c9836a25a9ea75c19c1c0d7024b0
+size 230357
diff --git a/results/train/ellipse/problem_0086.png b/results/train/ellipse/problem_0086.png
new file mode 100644
index 0000000000000000000000000000000000000000..18e66b02ef045676ac5063f4394952c4aa793b81
--- /dev/null
+++ b/results/train/ellipse/problem_0086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:052d1bd25a0da9c4f64b39c20aeafe0dde0ac834cd2ecc2e938c62edd182ce07
+size 223129
diff --git a/results/train/ellipse/problem_0096.png b/results/train/ellipse/problem_0096.png
new file mode 100644
index 0000000000000000000000000000000000000000..533c85823ac9ee6434ca700c3219f36e1367a72e
--- /dev/null
+++ b/results/train/ellipse/problem_0096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d22d316d5d74f9130581a77b84e699b79a8946f64d7e1f2b14c2c6dbe5755642
+size 240833
diff --git a/results/train/ellipse/problem_0099.png b/results/train/ellipse/problem_0099.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf199c44f95b8bcb9dbd4c9dbf72e1cf116d36e1
--- /dev/null
+++ b/results/train/ellipse/problem_0099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:485f771ec07c5e26ebefb7675cd3139082e7623cb86d2bd3dc92ff0361d2cabd
+size 237552
diff --git a/results/train/ellipse/problem_0112.png b/results/train/ellipse/problem_0112.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd52959848ad64415688c0f57fb6f4d8a5a317e1
--- /dev/null
+++ b/results/train/ellipse/problem_0112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d13163988dff9733411eeaaf18586ae8ffa5d76821079469ec6265da1a7e4966
+size 221592
diff --git a/results/train/ellipse/problem_0128.png b/results/train/ellipse/problem_0128.png
new file mode 100644
index 0000000000000000000000000000000000000000..73a84bc000ea47bab28a3680e1226f835797ab29
--- /dev/null
+++ b/results/train/ellipse/problem_0128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a25b352a8fd4b9a98617e9697ac75dfcde61e1803fd938c5ec47e6da7087b969
+size 223370
diff --git a/results/train/ellipse/problem_0136.png b/results/train/ellipse/problem_0136.png
new file mode 100644
index 0000000000000000000000000000000000000000..8efeb6c5110da36801ec0d2d3e0fb5b843915ace
--- /dev/null
+++ b/results/train/ellipse/problem_0136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f4b65929574842368cece5367e58b2c076e324fc6d7efbccc71fa95218aa784
+size 205708
diff --git a/results/train/ellipse/problem_0143.png b/results/train/ellipse/problem_0143.png
new file mode 100644
index 0000000000000000000000000000000000000000..82a554ab8d38fedc716dd20a938d2df1d8928f7b
--- /dev/null
+++ b/results/train/ellipse/problem_0143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc2f70ae388671a8f33e87905356bd58564d8dd35da1bab507e87aed9bbee014
+size 232978
diff --git a/results/train/ellipse/problem_0159.png b/results/train/ellipse/problem_0159.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dd7e18cddd28149dd41454856f86faf14a47671
--- /dev/null
+++ b/results/train/ellipse/problem_0159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:486743f356ece2d4527276ec79af045dea0b84e69b8ff961ca4c9b6e33d70213
+size 195105
diff --git a/results/train/ellipse/problem_0161.png b/results/train/ellipse/problem_0161.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2701ee37b221e779920e98e9f5ead9dc8908532
--- /dev/null
+++ b/results/train/ellipse/problem_0161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79c835affbba7c3151dc5983d0b126d575973768bd902b86f1142015890289d6
+size 224376
diff --git a/results/train/ellipse/problem_0167.png b/results/train/ellipse/problem_0167.png
new file mode 100644
index 0000000000000000000000000000000000000000..d71450c7f420dec4f17cf71b0e033b407c58dfa4
--- /dev/null
+++ b/results/train/ellipse/problem_0167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82a8298d07dae27d6e2ee03442999e3cbee05a5d0fa9f095ca6975d13305990a
+size 223046
diff --git a/results/train/ellipse/problem_0170.png b/results/train/ellipse/problem_0170.png
new file mode 100644
index 0000000000000000000000000000000000000000..80b9e33ebfc1beb733d703816ea8e8923b2b94e3
--- /dev/null
+++ b/results/train/ellipse/problem_0170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0ef7258afdca0ff4f12d7149cd29846f2e11e75112647ee2c72377b6ea0f5f4
+size 216482
diff --git a/results/train/ellipse/problem_0174.png b/results/train/ellipse/problem_0174.png
new file mode 100644
index 0000000000000000000000000000000000000000..789e8c8ac3f94428bce9f1ad3908aeef56db4b43
--- /dev/null
+++ b/results/train/ellipse/problem_0174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b532542001f0c70e3bb076627b4795edc9fb61c9c6d4e2452163c053123204b
+size 236364
diff --git a/results/train/ellipse/problem_0180.png b/results/train/ellipse/problem_0180.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a31dfaf879636518a66febdf45b4e1fb372dc5e
--- /dev/null
+++ b/results/train/ellipse/problem_0180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1d2696700436bc20e31510b130204f51f9491b9fd9d3d87029535fea2881320
+size 220497
diff --git a/results/train/ellipse/problem_0181.png b/results/train/ellipse/problem_0181.png
new file mode 100644
index 0000000000000000000000000000000000000000..d03f33efd1d33658a4c2f812aac1d3a1229acca6
--- /dev/null
+++ b/results/train/ellipse/problem_0181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43a8e92de6c13dc992205bbf458586b5896d63c373a58ab159536bc3c11d9380
+size 228683
diff --git a/results/train/ellipse/problem_0182.png b/results/train/ellipse/problem_0182.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0665ca102f5aedbde1e66571788bb3d3f3c6490
--- /dev/null
+++ b/results/train/ellipse/problem_0182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b19cc108d319fe2f052932441833086b75bc8a5ce8431c5bda6dfeb40db65587
+size 229796
diff --git a/results/train/ellipse/problem_0188.png b/results/train/ellipse/problem_0188.png
new file mode 100644
index 0000000000000000000000000000000000000000..119d3570ec6a3446faf7283752cb71fb53430c81
--- /dev/null
+++ b/results/train/ellipse/problem_0188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d936bdaf6c0edc6ddc63f8655d897cacfa2d3ec7ad4008cd4c6aa5ffdbaf49b0
+size 211888
diff --git a/results/train/ellipse/problem_0212.png b/results/train/ellipse/problem_0212.png
new file mode 100644
index 0000000000000000000000000000000000000000..3eb80c6614a3df3cf170491d35f667eb70e4fa6c
--- /dev/null
+++ b/results/train/ellipse/problem_0212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3a061a435b28f855f9e996f9d51f0504a392e91c5851be1018edb4533ae84ef
+size 217227
diff --git a/results/train/ellipse/problem_0213.png b/results/train/ellipse/problem_0213.png
new file mode 100644
index 0000000000000000000000000000000000000000..f42ededf4bfc5efea12f0aac327a0675b30f1985
--- /dev/null
+++ b/results/train/ellipse/problem_0213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f463fe1233191a177e39852e828ca5d4183ccfdb87995930f54dcdd93d275f74
+size 186102
diff --git a/results/train/ellipse/problem_0221.png b/results/train/ellipse/problem_0221.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ccb89c1cee40e9b58e0ce9251f078e8e556a32a
--- /dev/null
+++ b/results/train/ellipse/problem_0221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7a3e8f30ba43d50f2bd725adc48c40f455ec40d63aac8bbb30c49b458f276fc
+size 247418
diff --git a/results/train/ellipse/problem_0222.png b/results/train/ellipse/problem_0222.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd9bbd200768307cf4fcf44d626a4613a0c14d75
--- /dev/null
+++ b/results/train/ellipse/problem_0222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fd423ab8b0e4c749eeb21dbd79b928d85b69c66fd32fc9cd1983228b7ec4e95
+size 221157
diff --git a/results/train/ellipse/problem_0226.png b/results/train/ellipse/problem_0226.png
new file mode 100644
index 0000000000000000000000000000000000000000..173a828728b2a246ea1c9fa406bf759ac1e84e30
--- /dev/null
+++ b/results/train/ellipse/problem_0226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5b24f0631cc0efbdb289750d46d8c0da36193ba7508375cfebf46a4a04eaaba
+size 234544
diff --git a/results/train/ellipse/problem_0231.png b/results/train/ellipse/problem_0231.png
new file mode 100644
index 0000000000000000000000000000000000000000..1723bc2310ce0b979bc4fb3f38d60c19914913ea
--- /dev/null
+++ b/results/train/ellipse/problem_0231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e7b9d77fbad82a38ee570f3045a62a39af36ef0f0959806f4a51ae88665455c
+size 187453
diff --git a/results/train/ellipse/problem_0235.png b/results/train/ellipse/problem_0235.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a7a3f30b85f6b40eb57c0393396896449234bbb
--- /dev/null
+++ b/results/train/ellipse/problem_0235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a875cdeaf1d6554cc78b83c66516e95760a240f217ee17aa8d9a34d66ef2f10b
+size 216706
diff --git a/results/train/ellipse/problem_0242.png b/results/train/ellipse/problem_0242.png
new file mode 100644
index 0000000000000000000000000000000000000000..db9403081608e26937b7b99ac749daa0141b7c21
--- /dev/null
+++ b/results/train/ellipse/problem_0242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39739d78c8c6b41ab3a3ecf697cb84c028b14c3f7c28ba204d52916f80596efa
+size 240398
diff --git a/results/train/ellipse/problem_0247.png b/results/train/ellipse/problem_0247.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a3361df382f39c85fcd4386e4c7ffe2573be791
--- /dev/null
+++ b/results/train/ellipse/problem_0247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd595e3f66ec39a2a3685156e6f3c790db9de650f0637f1c95e99a8910d93857
+size 223436
diff --git a/results/train/ellipse/problem_0253.png b/results/train/ellipse/problem_0253.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f77f906df4c8d84e43b6849221d760deb754c89
--- /dev/null
+++ b/results/train/ellipse/problem_0253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c262fef022f6010f7f58fe5e469ff59b0c4f1fa2ec9d4e302d60eae4810a06f4
+size 235054
diff --git a/results/train/ellipse/problem_0268.png b/results/train/ellipse/problem_0268.png
new file mode 100644
index 0000000000000000000000000000000000000000..be30e2a32d2fa76202ee21ad0feb5316573fdf8c
--- /dev/null
+++ b/results/train/ellipse/problem_0268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:110264812ee598a69dfabc0c8bcb74ab33f4740cf55ed5a6edd7a53cb3438636
+size 225651
diff --git a/results/train/ellipse/problem_0271.png b/results/train/ellipse/problem_0271.png
new file mode 100644
index 0000000000000000000000000000000000000000..07d27b46a2029b7aa2596e024bac0680bf9fd4eb
--- /dev/null
+++ b/results/train/ellipse/problem_0271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68322bc0f611a3a19406cf32bc30c91ec6af28ff5db7585e03e2f9d4688bebff
+size 192117
diff --git a/results/train/ellipse/problem_0278.png b/results/train/ellipse/problem_0278.png
new file mode 100644
index 0000000000000000000000000000000000000000..76427dcc9ce44232cbb456291c223d6a839a3367
--- /dev/null
+++ b/results/train/ellipse/problem_0278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07a8a4319b30e33ce22c0f469ceb7e483fe33b4ae36c377b8a518a591a1c5ac6
+size 220141
diff --git a/results/train/ellipse/problem_0283.png b/results/train/ellipse/problem_0283.png
new file mode 100644
index 0000000000000000000000000000000000000000..bcb76e5b336aadbe7104ce9f50c52320eb6fc212
--- /dev/null
+++ b/results/train/ellipse/problem_0283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8d9f76216caf2a9627261f8750c5b5d0a4aef19d226d91de2ece4b9646969b0
+size 224109
diff --git a/results/train/ellipse/problem_0287.png b/results/train/ellipse/problem_0287.png
new file mode 100644
index 0000000000000000000000000000000000000000..26c21c1a142efbf4023aeaa61695697cb690f5ce
--- /dev/null
+++ b/results/train/ellipse/problem_0287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c7dca30c079b22189f24071f1f05150c9d11779952f4fd74ad9cdf8dfd379bb
+size 224613
diff --git a/results/train/ellipse/problem_0288.png b/results/train/ellipse/problem_0288.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4afa363439b36cbdac357fa93eba227d4e9807b
--- /dev/null
+++ b/results/train/ellipse/problem_0288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a514082b7a5152b7cd7f040656bfde45a9f0c4307f4820acf31a5c25ad08f74
+size 231441
diff --git a/results/train/ellipse/problem_0289.png b/results/train/ellipse/problem_0289.png
new file mode 100644
index 0000000000000000000000000000000000000000..165a80962ce1107d4a9d825fe72ac9cba6d6fa41
--- /dev/null
+++ b/results/train/ellipse/problem_0289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:442d78215d743ba38784351791fb07da79165efbffcbc8ed181e6a121e3a2c84
+size 200468
diff --git a/results/train/ellipse/problem_0295.png b/results/train/ellipse/problem_0295.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ae587e1a0bc1be72deae9857756046360b8897d
--- /dev/null
+++ b/results/train/ellipse/problem_0295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1df0d845952c4893c6f20d4a459bc821494beb953ab8681f0fbae527e033d31
+size 218118
diff --git a/results/train/ellipse/problem_0299.png b/results/train/ellipse/problem_0299.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2b6a8c1533352c80c447f3e25602b22921b6ab6
--- /dev/null
+++ b/results/train/ellipse/problem_0299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afeac0dec8805677a4377287282bb31ad7e16c3d15ad7053c422d7135f5e00fa
+size 222394
diff --git a/results/train/ellipse/problem_0302.png b/results/train/ellipse/problem_0302.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab2a28214082bab23c13604769b07fc41a41fe3a
--- /dev/null
+++ b/results/train/ellipse/problem_0302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b841cc871d6c0d47011a5d5ea3eaf2efe342179b45f72d188e17667f99485d7e
+size 234657
diff --git a/results/train/ellipse/problem_0306.png b/results/train/ellipse/problem_0306.png
new file mode 100644
index 0000000000000000000000000000000000000000..46ccbc33a6183bc3d825c3047c3ee84045166daa
--- /dev/null
+++ b/results/train/ellipse/problem_0306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c3496f8e21cd0ed77ce5005cf6c0e72ff870f77cfe6f2f970c3c0d4d16d25a7
+size 217586
diff --git a/results/train/ellipse/problem_0308.png b/results/train/ellipse/problem_0308.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d1a95c2afa5cc4ed471a503a71cd92f88e499a5
--- /dev/null
+++ b/results/train/ellipse/problem_0308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af9754aa836f9c6c50b4c688fed42b888543f0ae8297305f0d9d4351647caf8b
+size 225987
diff --git a/results/train/ellipse/problem_0313.png b/results/train/ellipse/problem_0313.png
new file mode 100644
index 0000000000000000000000000000000000000000..3916e5281bbf801bd80a3251c420408e1a3d7aed
--- /dev/null
+++ b/results/train/ellipse/problem_0313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f9d99757c12c06452cb2cf8abee8b736c2dccfe84717506937bfd375a66ed28
+size 233409
diff --git a/results/train/ellipse/problem_0316.png b/results/train/ellipse/problem_0316.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a96eb0629444c1b09506ddda6de72d26f6a9718
--- /dev/null
+++ b/results/train/ellipse/problem_0316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53e1a34d8c4180336fd3a12fe7979b651c3a603a8118b675375f2ae9a63a1466
+size 226747
diff --git a/results/train/ellipse/problem_0318.png b/results/train/ellipse/problem_0318.png
new file mode 100644
index 0000000000000000000000000000000000000000..5156fd9c7177cfbff6b2112b7d3994660731c102
--- /dev/null
+++ b/results/train/ellipse/problem_0318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:874ba46be303cab171c39dd4aa99a60a7c9676d69e176c5e29e9df9aa25ee839
+size 212977
diff --git a/results/train/ellipse/problem_0320.png b/results/train/ellipse/problem_0320.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a92d0d81c47c8f94c7f0a51ab9d2cddd553f461
--- /dev/null
+++ b/results/train/ellipse/problem_0320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17de16f908b4a5f2a952c78d08365ad6c47e49c4392f94ef3374c79cd5d12e28
+size 220564
diff --git a/results/train/ellipse/problem_0321.png b/results/train/ellipse/problem_0321.png
new file mode 100644
index 0000000000000000000000000000000000000000..8408606c7fe42f441c3c9146d3ac9e663b44e0d6
--- /dev/null
+++ b/results/train/ellipse/problem_0321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3caa7393c51196ec845cbb37ee6e1c10afc116e0fbdefc041753ae05da937818
+size 194560
diff --git a/results/train/ellipse/problem_0327.png b/results/train/ellipse/problem_0327.png
new file mode 100644
index 0000000000000000000000000000000000000000..7149c331c0180c2d496a5f874c966091769647de
--- /dev/null
+++ b/results/train/ellipse/problem_0327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7795f0e87c8cc0d9e1b8c33d4fa0ab2b19c6b506b4a31df14139846fbe08b31f
+size 219958
diff --git a/results/train/ellipse/problem_0330.png b/results/train/ellipse/problem_0330.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bc29d49175027dab8ed441db7a2ad4bdf9b6b92
--- /dev/null
+++ b/results/train/ellipse/problem_0330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:649a74b598d55cb3d14ef4085038b1d82c0ef944a14446b383d9771e5e527f2b
+size 218046
diff --git a/results/train/ellipse/problem_0332.png b/results/train/ellipse/problem_0332.png
new file mode 100644
index 0000000000000000000000000000000000000000..29c0e243fe7a3a165f0ecca18a2df68f2def3c36
--- /dev/null
+++ b/results/train/ellipse/problem_0332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc9e5b5a01c4fd783c4ad6c3929cfcf25e7ba6a2a5c9f93d4cb6adc3908fb827
+size 209692
diff --git a/results/train/ellipse/problem_0335.png b/results/train/ellipse/problem_0335.png
new file mode 100644
index 0000000000000000000000000000000000000000..71a149218d7fdf124ace65a653b01371cb9ffdfb
--- /dev/null
+++ b/results/train/ellipse/problem_0335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acc2a3d7b96555f97bc9ff344c9b58ed94ce0273f4e08329d107bc345d3cd8e8
+size 224925
diff --git a/results/train/ellipse/problem_0336.png b/results/train/ellipse/problem_0336.png
new file mode 100644
index 0000000000000000000000000000000000000000..a92d96f04c9924d228fea56627688b3e64749957
--- /dev/null
+++ b/results/train/ellipse/problem_0336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:585a3e6bab03763b1840decb04379326a68acea9ac542597c680a9a63c32e681
+size 217364
diff --git a/results/train/ellipse/problem_0337.png b/results/train/ellipse/problem_0337.png
new file mode 100644
index 0000000000000000000000000000000000000000..c847aaf341c3ba6aeeacaa23b8ae1d056784ce41
--- /dev/null
+++ b/results/train/ellipse/problem_0337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adf08c1f3a997550d27f67e3fc1f41bb6f742c92f57bfdb0dbcac65ebecbc4fa
+size 249185
diff --git a/results/train/ellipse/problem_0338.png b/results/train/ellipse/problem_0338.png
new file mode 100644
index 0000000000000000000000000000000000000000..1efc88b97984b1a4155663031183e540f27c8252
--- /dev/null
+++ b/results/train/ellipse/problem_0338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be6283cee92e031f6c384786b2466f784b7322a3706ddbf1bc2b48223ddedb86
+size 231541
diff --git a/results/train/ellipse/problem_0341.png b/results/train/ellipse/problem_0341.png
new file mode 100644
index 0000000000000000000000000000000000000000..85653bfa204b70ed926d17fd31f70b841a75229a
--- /dev/null
+++ b/results/train/ellipse/problem_0341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba185aa04921b32ce33e3ee7bba731d77273d729a06ad34e7dc0ea9f429bbe65
+size 223916
diff --git a/results/train/ellipse/problem_0342.png b/results/train/ellipse/problem_0342.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c68ff92ed9002c60ae958f40b4d4e5128e1afad
--- /dev/null
+++ b/results/train/ellipse/problem_0342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2224a428ac6621894edd64ba010feb74501375281170e1c798ab405ff744845
+size 226093
diff --git a/results/train/ellipse/problem_0344.png b/results/train/ellipse/problem_0344.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dddd508b257b32787cf923b695b76b91d820aa4
--- /dev/null
+++ b/results/train/ellipse/problem_0344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e232771bc6b875202e8c84015c70694e44edd1e49dbc9bdc66d80b148a8d8799
+size 229883
diff --git a/results/train/ellipse/problem_0358.png b/results/train/ellipse/problem_0358.png
new file mode 100644
index 0000000000000000000000000000000000000000..800e882ed3168689686a2f68cfe8850fa8e0b5fd
--- /dev/null
+++ b/results/train/ellipse/problem_0358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c9f5f8dce89240c76e00b358a662ade7714a513ba28402c019b27434e3c5c18
+size 193612
diff --git a/results/train/ellipse/problem_0362.png b/results/train/ellipse/problem_0362.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d6926191d304e6a8dd83886efced4f7ed25cd42
--- /dev/null
+++ b/results/train/ellipse/problem_0362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f9ecce33ed8cf110a8dbf1937c63ccfbad7d65ec71f0d8d849aa9f1a583fb13
+size 221173
diff --git a/results/train/ellipse/problem_0367.png b/results/train/ellipse/problem_0367.png
new file mode 100644
index 0000000000000000000000000000000000000000..1de98f2e3d6caa9feae5b46b2508f2e004a3bfe7
--- /dev/null
+++ b/results/train/ellipse/problem_0367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b64ec5b4a98d73a297af67bed55eeae2f8479f751d742d0357768b43aa268206
+size 225616
diff --git a/results/train/ellipse/problem_0368.png b/results/train/ellipse/problem_0368.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa29d540941872841474ce10bbf13a8879b28fda
--- /dev/null
+++ b/results/train/ellipse/problem_0368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44bf62da300b4e970610d0c77863432a965e0932b7b6965dd63e2a67061d64f7
+size 228771
diff --git a/results/train/ellipse/problem_0371.png b/results/train/ellipse/problem_0371.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed875ba00752500f2411a6682655d35697d539eb
--- /dev/null
+++ b/results/train/ellipse/problem_0371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5c19bbfb21130c00291e8e95b106477c09db42ddd3ae08215d06623b98a6e9a
+size 220227
diff --git a/results/train/ellipse/problem_0376.png b/results/train/ellipse/problem_0376.png
new file mode 100644
index 0000000000000000000000000000000000000000..47b64394d10b9cbf86a8806b6996752109e631ff
--- /dev/null
+++ b/results/train/ellipse/problem_0376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0da7279c57a924cc92cbe92af225811b21e3759702de48664bfc13ddc9f05d1e
+size 224232
diff --git a/results/train/ellipse/problem_0377.png b/results/train/ellipse/problem_0377.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fc826d4e9a95a7caea9dbaa6f11b0a592b9a7d1
--- /dev/null
+++ b/results/train/ellipse/problem_0377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f842b0d51abb2ffa9fe60f4599d74d38329b83c048d63028c7b8b21b14216ab
+size 193839
diff --git a/results/train/ellipse/problem_0378.png b/results/train/ellipse/problem_0378.png
new file mode 100644
index 0000000000000000000000000000000000000000..7773d1fbdff48b293bb8de4c99815e9ca467e4df
--- /dev/null
+++ b/results/train/ellipse/problem_0378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90a1b9a76657f112c8ea6cdf545f8b98716453d7f8c21cc2a6faef61b2d8b0fd
+size 225632
diff --git a/results/train/ellipse/problem_0382.png b/results/train/ellipse/problem_0382.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d24d7bb05bf42c8d247d72b4fe3dcdfd53b1966
--- /dev/null
+++ b/results/train/ellipse/problem_0382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09a9fc38a1801668419df0b43f35891b4666fdc7412ab96804208085de6bb67e
+size 219462
diff --git a/results/train/ellipse/problem_0387.png b/results/train/ellipse/problem_0387.png
new file mode 100644
index 0000000000000000000000000000000000000000..537d4ccf7bafbffc5d6c9408cf1f6e58a310e8f5
--- /dev/null
+++ b/results/train/ellipse/problem_0387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:422dbf0b358e36655ba2a77a8734743e71770ac2afd09637be53d572e11c7423
+size 231454
diff --git a/results/train/ellipse/problem_0394.png b/results/train/ellipse/problem_0394.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bf65bd27379aa9b49cefc0200b562c06f9f3c3c
--- /dev/null
+++ b/results/train/ellipse/problem_0394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29f6fcc5f7a9e566b634d919c78e75c18c28dba4961f11b57279ed92712914cc
+size 226417
diff --git a/results/train/ellipse/problem_0396.png b/results/train/ellipse/problem_0396.png
new file mode 100644
index 0000000000000000000000000000000000000000..de3534ea46e7519a59ac0130d6b2140c551ee660
--- /dev/null
+++ b/results/train/ellipse/problem_0396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb02aa573c3b2525e827c58aeadb49af3c6cdc1dd703b77a8f167331325b3f9a
+size 222145
diff --git a/results/train/ellipse/problem_0397.png b/results/train/ellipse/problem_0397.png
new file mode 100644
index 0000000000000000000000000000000000000000..50471cf5601a712217bba047c6eef7cdc159c94e
--- /dev/null
+++ b/results/train/ellipse/problem_0397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9e2d74dccf21d5795c4aa3968f82f4b7e94367d808ac185562a51a2b918381d
+size 202995
diff --git a/results/train/ellipse/problem_0398.png b/results/train/ellipse/problem_0398.png
new file mode 100644
index 0000000000000000000000000000000000000000..0da28c53793eb32c4a9d4e1f97094552f1d03ceb
--- /dev/null
+++ b/results/train/ellipse/problem_0398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0abed50a671ff2ac39ea64a1b5e8edb260df6bb5b21bbe61ced45678677d98bc
+size 216681
diff --git a/results/train/ellipse/problem_0402.png b/results/train/ellipse/problem_0402.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f736bee94a825e8943cbfaf058c6abc397c9564
--- /dev/null
+++ b/results/train/ellipse/problem_0402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce07270dc1855ba6795e655b9e908ae24e0bdbf7c00fd47aa203e6d65c918608
+size 232196
diff --git a/results/train/ellipse/problem_0406.png b/results/train/ellipse/problem_0406.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5bf0bbea5d69413a110d0aeea9799700d01a2ee
--- /dev/null
+++ b/results/train/ellipse/problem_0406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fa917912d5ed8f2087dc4727f0a952e6a725444e3a0d6093359f17ecd921504
+size 194919
diff --git a/results/train/ellipse/problem_0413.png b/results/train/ellipse/problem_0413.png
new file mode 100644
index 0000000000000000000000000000000000000000..51ecf4065fdedd0affed3844d81b1b79ece1de33
--- /dev/null
+++ b/results/train/ellipse/problem_0413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cb42e86420186486b3d612417d0b5796ebc893e2b3d252fe92fa8e6efdf82cf
+size 215815
diff --git a/results/train/ellipse/problem_0429.png b/results/train/ellipse/problem_0429.png
new file mode 100644
index 0000000000000000000000000000000000000000..3125ebdf9da587667533273558359d7b02cefe17
--- /dev/null
+++ b/results/train/ellipse/problem_0429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0dbb9d1e66ffe019c2141379c2e71f208a46d4ff662b5a1f2b9b3ba4adeee54
+size 227431
diff --git a/results/train/ellipse/problem_0430.png b/results/train/ellipse/problem_0430.png
new file mode 100644
index 0000000000000000000000000000000000000000..e375faa396e114703d4ea0a63636dd125690797a
--- /dev/null
+++ b/results/train/ellipse/problem_0430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44340f3a95dbed8b9bf9f40e8c93d3ad3cfde23aa2f4c9808f79c1c9b56f3ed2
+size 223546
diff --git a/results/train/ellipse/problem_0434.png b/results/train/ellipse/problem_0434.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f6411922e94f19795cedd8dfd4039c413e69c7f
--- /dev/null
+++ b/results/train/ellipse/problem_0434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:581b0e5c1d042905649bc7b94e069619238d86b53c3861f76d093b2f77e69a82
+size 214687
diff --git a/results/train/ellipse/problem_0435.png b/results/train/ellipse/problem_0435.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b318421dfd7998e8c288d2d8323059898f8958e
--- /dev/null
+++ b/results/train/ellipse/problem_0435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0726771c3ff6997928c21b6136a9b63cba6d58a6d206659f6930d7ea2f311f17
+size 223879
diff --git a/results/train/ellipse/problem_0436.png b/results/train/ellipse/problem_0436.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fa6e0b9266a5669f1d910037978c55a3556b118
--- /dev/null
+++ b/results/train/ellipse/problem_0436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a0a3ddd9cd03b45d6ac273edf1f16387ef82d8fed51516dbf83e5d2d566be92
+size 213062
diff --git a/results/train/ellipse/problem_0438.png b/results/train/ellipse/problem_0438.png
new file mode 100644
index 0000000000000000000000000000000000000000..c512a1f8e7b825f878c08a43691c5ef1cb44414b
--- /dev/null
+++ b/results/train/ellipse/problem_0438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbe7036da6edd65073a85221f8a3291460771b97aa66d0fb7758576717ad7cee
+size 228509
diff --git a/results/train/ellipse/problem_0439.png b/results/train/ellipse/problem_0439.png
new file mode 100644
index 0000000000000000000000000000000000000000..9eb305a2d324826e3ca24e688ad1b8261bf6f7b2
--- /dev/null
+++ b/results/train/ellipse/problem_0439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:342b5fb71fdf14670782678ce6f05c6c97de48f469f4213f478feb9ac9b194a8
+size 216112
diff --git a/results/train/ellipse/problem_0440.png b/results/train/ellipse/problem_0440.png
new file mode 100644
index 0000000000000000000000000000000000000000..678cb102e2de53142dd5eaf65ba9fb1daf5a6019
--- /dev/null
+++ b/results/train/ellipse/problem_0440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:249b966c909fd7f1115f9d42afc2aa04de22c4d04bded9695f31968c0cc1e87a
+size 204413
diff --git a/results/train/ellipse/problem_0446.png b/results/train/ellipse/problem_0446.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f8ac52da6d6a60ee42a2b2748361168b10b50b0
--- /dev/null
+++ b/results/train/ellipse/problem_0446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcb2e88f273ebea6583ab27d8fe4f2d8180a0074b940e701e596f393e4c6a240
+size 195720
diff --git a/results/train/ellipse/problem_0453.png b/results/train/ellipse/problem_0453.png
new file mode 100644
index 0000000000000000000000000000000000000000..f87271b2d581985050c084dec86e675c90194b34
--- /dev/null
+++ b/results/train/ellipse/problem_0453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27a622b99b33562674dc2deabd8b5aee2a55bce3d59698d4b4f263c8b5c0851b
+size 223443
diff --git a/results/train/ellipse/problem_0467.png b/results/train/ellipse/problem_0467.png
new file mode 100644
index 0000000000000000000000000000000000000000..b45aa34bb0b851d4dea6f4cd76c01d7c152ae6e2
--- /dev/null
+++ b/results/train/ellipse/problem_0467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db44ee72d29796c264039162f2f42b1ece70b551ac0b0f10eb7875470a158ab3
+size 218948
diff --git a/results/train/ellipse/problem_0476.png b/results/train/ellipse/problem_0476.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7e7e0d52ebbebdaa53cc6c7b93c9b94b7d9fcdc
--- /dev/null
+++ b/results/train/ellipse/problem_0476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d96d58da8664d7a44fc253d271b9113b276373988b02e213a715236e53114d32
+size 238969
diff --git a/results/train/ellipse/problem_0489.png b/results/train/ellipse/problem_0489.png
new file mode 100644
index 0000000000000000000000000000000000000000..34521e7c75d5bbb1d4b2afab737bce44695af678
--- /dev/null
+++ b/results/train/ellipse/problem_0489.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b793806f9835157636290829fdb3c6d2a22822ee695bb6af17fb910bc2703a69
+size 216368
diff --git a/results/train/ellipse/problem_0490.png b/results/train/ellipse/problem_0490.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4106f340323c721e36f455bff130576de5e0856
--- /dev/null
+++ b/results/train/ellipse/problem_0490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eef715d676d491f84e7a068400a120c8dadc1e50b8d557954c0ab31a255db1d7
+size 216737
diff --git a/results/train/ellipse/problem_0495.png b/results/train/ellipse/problem_0495.png
new file mode 100644
index 0000000000000000000000000000000000000000..cafb069a27b3baec1fb86a857406af00671e7268
--- /dev/null
+++ b/results/train/ellipse/problem_0495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69208ecde4418f778f9b6e62a68a6c81fced6106c18c27f986cceacc38e8e4b1
+size 224002
diff --git a/results/train/ellipse/problem_0499.png b/results/train/ellipse/problem_0499.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed39fab03f5cce3edbeb16cbe1addb3564472275
--- /dev/null
+++ b/results/train/ellipse/problem_0499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52edb9b13d6af8e1308bbaabe34b41a0a629499049f4fc3039073c6792b25acc
+size 217524
diff --git a/results/train/ellipse/problem_0506.png b/results/train/ellipse/problem_0506.png
new file mode 100644
index 0000000000000000000000000000000000000000..9087b3854a5013dcc3a4df86f721d469d4891bfc
--- /dev/null
+++ b/results/train/ellipse/problem_0506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b9fabe71383b9ebad865aaa93638f014fc48dc4507ef9cb7cc78d4dc4be6075
+size 225418
diff --git a/results/train/ellipse/problem_0507.png b/results/train/ellipse/problem_0507.png
new file mode 100644
index 0000000000000000000000000000000000000000..58e872026d9faaf5eaa8db87f0f6fa3f91ab3826
--- /dev/null
+++ b/results/train/ellipse/problem_0507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b58d9b60a64969305450d6486c6f193b56b22080323a3e8042129a4f1a5a06e
+size 231633
diff --git a/results/train/ellipse/problem_0514.png b/results/train/ellipse/problem_0514.png
new file mode 100644
index 0000000000000000000000000000000000000000..5df784554ab61cab142dba51653e08111cb86946
--- /dev/null
+++ b/results/train/ellipse/problem_0514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57f8d8780ba96e738aedffa83c44fde8c4f7d35f81aa8dec1f9d1a43175a1947
+size 216449
diff --git a/results/train/ellipse/problem_0515.png b/results/train/ellipse/problem_0515.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a7c1c8a1feb2e7c9f66649f2f97a27b8e8f8096
--- /dev/null
+++ b/results/train/ellipse/problem_0515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97449f7796edb8952b3df9c538237079baf0227bb1e94f3354f358433ccf45b0
+size 238854
diff --git a/results/train/ellipse/problem_0516.png b/results/train/ellipse/problem_0516.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc2e38f445db8cd1e06c7cbc9f91823f7f90cba4
--- /dev/null
+++ b/results/train/ellipse/problem_0516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9f174e90997ab0977617035a2620dbaa800570a8dfc4f1e82da0248579b2f7c
+size 236602
diff --git a/results/train/ellipse/problem_0524.png b/results/train/ellipse/problem_0524.png
new file mode 100644
index 0000000000000000000000000000000000000000..afbba989dbfe9ba1793728007e7b5232076ccd03
--- /dev/null
+++ b/results/train/ellipse/problem_0524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:873b4f85d6fa0127d53d7804c174274f90b052f08f7063ccf76fc2ee8652f9ba
+size 234028
diff --git a/results/train/ellipse/problem_0527.png b/results/train/ellipse/problem_0527.png
new file mode 100644
index 0000000000000000000000000000000000000000..e775e1b95270ea2f039189587fefa6e1ec900228
--- /dev/null
+++ b/results/train/ellipse/problem_0527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea3ce1f8a03722931d1c9a85b097b289e325002157993e6940d6eb624684a68b
+size 191900
diff --git a/results/train/ellipse/problem_0529.png b/results/train/ellipse/problem_0529.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffc6d180d81371f3d711513263d504d666174b74
--- /dev/null
+++ b/results/train/ellipse/problem_0529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1084006b9db59768a26d6f6e0bca9477f6ee98511139aed457d28f7410059d6
+size 197993
diff --git a/results/train/ellipse/problem_0530.png b/results/train/ellipse/problem_0530.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd1822e6d603d1c033ced3c2a0a54936ed2bbdf4
--- /dev/null
+++ b/results/train/ellipse/problem_0530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e3d4ba8ed6a37fd9c6e488ea20bc1f0bceac5deec995fe176e2083d5fc6c00d
+size 227823
diff --git a/results/train/ellipse/problem_0537.png b/results/train/ellipse/problem_0537.png
new file mode 100644
index 0000000000000000000000000000000000000000..c68fd1cef0163e2fcda6e510d2d689968b8d34c8
--- /dev/null
+++ b/results/train/ellipse/problem_0537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cf7780c7ee8353959d3c25c36593cde8c4c7a23399907e555dc95e1a93099bf
+size 220192
diff --git a/results/train/ellipse/problem_0541.png b/results/train/ellipse/problem_0541.png
new file mode 100644
index 0000000000000000000000000000000000000000..843b1999e5c1c955eed32b1f4dff776da45ef931
--- /dev/null
+++ b/results/train/ellipse/problem_0541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1996b170598a01c8a5e0468a0ee94d682559ff988b63833f03a2e791abdff269
+size 223604
diff --git a/results/train/ellipse/problem_0543.png b/results/train/ellipse/problem_0543.png
new file mode 100644
index 0000000000000000000000000000000000000000..a78629fca9b245f93472dbadc4061e42299721ef
--- /dev/null
+++ b/results/train/ellipse/problem_0543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c66cceac9972456a4dd0661f08801e8f6bb859bd9c8445b5ab104f06901db0a
+size 233899
diff --git a/results/train/ellipse/problem_0545.png b/results/train/ellipse/problem_0545.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fa84799ac4529ff8c637a94b562f05074632d2b
--- /dev/null
+++ b/results/train/ellipse/problem_0545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ebf7f98c19596655b62ef890362073bf69e3171504be9a2c5447a677b31f3d3
+size 215297
diff --git a/results/train/ellipse/problem_0557.png b/results/train/ellipse/problem_0557.png
new file mode 100644
index 0000000000000000000000000000000000000000..e251144bf1ff26cef0ecf10b3b1ade55d18999d6
--- /dev/null
+++ b/results/train/ellipse/problem_0557.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1d56f54be29a6b7b40315cba88dd22293c367c701d07829c7ba60bc173c2dd4
+size 219318
diff --git a/results/train/ellipse/problem_0560.png b/results/train/ellipse/problem_0560.png
new file mode 100644
index 0000000000000000000000000000000000000000..61fae8cc9477d78720249faac654faa7747ab362
--- /dev/null
+++ b/results/train/ellipse/problem_0560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d753b5fa1e565a26cccb49ad326ff24f6aba957d14183182e3da7c12b55ebf38
+size 218000
diff --git a/results/train/ellipse/problem_0561.png b/results/train/ellipse/problem_0561.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b7391c4cd3affddcac7498da9202b69509ba5e1
--- /dev/null
+++ b/results/train/ellipse/problem_0561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9774611d39f0756ef552735c89421c282cea1e128fa90f1a1ed3e7aba0bbad31
+size 239834
diff --git a/results/train/ellipse/problem_0562.png b/results/train/ellipse/problem_0562.png
new file mode 100644
index 0000000000000000000000000000000000000000..6325657e831e1970b61ba3012ac5f620ab173e4d
--- /dev/null
+++ b/results/train/ellipse/problem_0562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53cb2ff24c210c817d9477d5e5c1059470f089ef3b5ee039825cd7bc07c05f99
+size 222660
diff --git a/results/train/ellipse/problem_0572.png b/results/train/ellipse/problem_0572.png
new file mode 100644
index 0000000000000000000000000000000000000000..f783dd1eaa83c8bf50966cea7aa7d7481daa9a65
--- /dev/null
+++ b/results/train/ellipse/problem_0572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7a5670aad2cc9be8ffb54ee300b543ac9e908dc663365dc8dbb9de69e9fca8a
+size 227469
diff --git a/results/train/ellipse/problem_0579.png b/results/train/ellipse/problem_0579.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a1995af21b0abc8701b9a99448e37931c33d37c
--- /dev/null
+++ b/results/train/ellipse/problem_0579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d6f739eefc95e80e78a75aafeeaa1f8626082bfd9297931f8320e29cb494f9e
+size 212215
diff --git a/results/train/ellipse/problem_0583.png b/results/train/ellipse/problem_0583.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce55bb5301fbb2d03353d336e32d006f640636b9
--- /dev/null
+++ b/results/train/ellipse/problem_0583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:505cc24bacec0b0cf8734361df82fd39dc574c7eaaa8d3215f0945c0b7840fbe
+size 215017
diff --git a/results/train/ellipse/problem_0588.png b/results/train/ellipse/problem_0588.png
new file mode 100644
index 0000000000000000000000000000000000000000..3271ea672412a2821b3d0934be3f2f8d25447677
--- /dev/null
+++ b/results/train/ellipse/problem_0588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f01e22cf603941b6a9df2d1da711cdde0b88bc4e387d0a45c9095b7f6c11a18
+size 198239
diff --git a/results/train/ellipse/problem_0590.png b/results/train/ellipse/problem_0590.png
new file mode 100644
index 0000000000000000000000000000000000000000..efbfb0ba64006e4475076625c9ce07a679154d9b
--- /dev/null
+++ b/results/train/ellipse/problem_0590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad7840e861d7c3429cb98edf90881eb669fe16b67a1ff714ec6e5363b28a7bad
+size 227637
diff --git a/results/train/ellipse/problem_0592.png b/results/train/ellipse/problem_0592.png
new file mode 100644
index 0000000000000000000000000000000000000000..602184ae9f4f98301821dd025db9f7a542e106ca
--- /dev/null
+++ b/results/train/ellipse/problem_0592.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:270e58e8701876542c26316571403b625962a2fac7b93674bc6921f85bb01f87
+size 223628
diff --git a/results/train/ellipse/problem_0596.png b/results/train/ellipse/problem_0596.png
new file mode 100644
index 0000000000000000000000000000000000000000..c707b14f41a816dcf6d940683885748c24ae7c3d
--- /dev/null
+++ b/results/train/ellipse/problem_0596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5094e04bb995b10e9138469f2c88c7b27bab3989fc5fd9866e3ca5d22adfe6b
+size 246950
diff --git a/results/train/ellipse/problem_0601.png b/results/train/ellipse/problem_0601.png
new file mode 100644
index 0000000000000000000000000000000000000000..6697b016cf41107988736dd02c7e6d2f2603b5d5
--- /dev/null
+++ b/results/train/ellipse/problem_0601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4021beef0b795e090db56b6a0a531f329c42b3a8d66a6850f908822733eb15e4
+size 229924
diff --git a/results/train/ellipse/problem_0612.png b/results/train/ellipse/problem_0612.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdd713d17b0ca3bda502536a187fa3adb0316796
--- /dev/null
+++ b/results/train/ellipse/problem_0612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c0dc5b14cab576dbbb1a695173f4cc4f29cf8d0c0ce8e4d6b8b0a4633eda97e
+size 220441
diff --git a/results/train/ellipse/problem_0615.png b/results/train/ellipse/problem_0615.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5fb2b580d8b2d511d8c9cc811e720f6188c48d9
--- /dev/null
+++ b/results/train/ellipse/problem_0615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39e1a231fad1aba2866ff03d100ed5f6438cd35d70ce2396dddf26b1fcc07040
+size 229044
diff --git a/results/train/ellipse/problem_0616.png b/results/train/ellipse/problem_0616.png
new file mode 100644
index 0000000000000000000000000000000000000000..711d45281c777873d0640316dd0c4219bdf870db
--- /dev/null
+++ b/results/train/ellipse/problem_0616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f31807aefc147b02671161c8d0ff5c3ab69257fb4ad0e0a7b8a185bc3d39c93
+size 223776
diff --git a/results/train/ellipse/problem_0617.png b/results/train/ellipse/problem_0617.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2492e9fea67cdeead62eb9e17b54bcd71e20c64
--- /dev/null
+++ b/results/train/ellipse/problem_0617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b9de61913bec2393de0bdc05916a1b057781d9d591272ddb004b6b014242a2c
+size 234513
diff --git a/results/train/ellipse/problem_0619.png b/results/train/ellipse/problem_0619.png
new file mode 100644
index 0000000000000000000000000000000000000000..376fd8699256bd09a0248808e592b164b6c7981e
--- /dev/null
+++ b/results/train/ellipse/problem_0619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6308d74ab28ce6a597d99c2b7fe5d56a569004bf1e64af83218b51d8eda54adc
+size 217256
diff --git a/results/train/ellipse/problem_0621.png b/results/train/ellipse/problem_0621.png
new file mode 100644
index 0000000000000000000000000000000000000000..342bd0b0266e47c5c2b1ab681f30a23103416ac9
--- /dev/null
+++ b/results/train/ellipse/problem_0621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:353a94efcda0c8eafe9ea70e4e56043e57012626399e24905501f5277308fa98
+size 212435
diff --git a/results/train/ellipse/problem_0622.png b/results/train/ellipse/problem_0622.png
new file mode 100644
index 0000000000000000000000000000000000000000..8024b3e48e02a5370247c27ed08f634e7efa5f91
--- /dev/null
+++ b/results/train/ellipse/problem_0622.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68c805fd6079fa7a3754d4ed6a3e7b52119f5aa2d30d848eb063d3cf3aa93cb9
+size 225529
diff --git a/results/train/ellipse/problem_0633.png b/results/train/ellipse/problem_0633.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca6566fc2da69d4a9d980d08f6685000e9a392a9
--- /dev/null
+++ b/results/train/ellipse/problem_0633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2cab5b9be14154d2c9717401b7f0a48a33ce3c237d151e9469132372c42f1d5
+size 226000
diff --git a/results/train/ellipse/problem_0637.png b/results/train/ellipse/problem_0637.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a82fe3351071facb550c561b43006b030ac7b1b
--- /dev/null
+++ b/results/train/ellipse/problem_0637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1671872b4ec44c1f6af32ae9c5c80d8891d1d460d772fbc381d47f0448c82d0
+size 236171
diff --git a/results/train/ellipse/problem_0639.png b/results/train/ellipse/problem_0639.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f10f1b5d4b14aabad0d01d424effd3a393062b9
--- /dev/null
+++ b/results/train/ellipse/problem_0639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d97b45806e684c09d144eeb355a36331d53e002699a7dc61b21d5fc5215c6ad1
+size 192242
diff --git a/results/train/ellipse/problem_0643.png b/results/train/ellipse/problem_0643.png
new file mode 100644
index 0000000000000000000000000000000000000000..5744c67fca786f6a65dbc20beb4cea8abd9cd5b9
--- /dev/null
+++ b/results/train/ellipse/problem_0643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e84ff68e1b65a1189d7e1670bebae7137f6fe7675ac4c756d663fe7645d2758
+size 220939
diff --git a/results/train/ellipse/problem_0645.png b/results/train/ellipse/problem_0645.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ecbf7660924cb8732ef859d739a64af09ef18bd
--- /dev/null
+++ b/results/train/ellipse/problem_0645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc9bc7c405324b7b4f833e142881d20bf2e572b985ce6fd9b22f7bc7b2405775
+size 222288
diff --git a/results/train/ellipse/problem_0658.png b/results/train/ellipse/problem_0658.png
new file mode 100644
index 0000000000000000000000000000000000000000..c18efa538695c396a835b094ef72fe36b30e8c63
--- /dev/null
+++ b/results/train/ellipse/problem_0658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5dc3e827443b0027be799c1c6ed547ed4d4f5eafcf62ecb08a903725f5fbc43c
+size 230034
diff --git a/results/train/ellipse/problem_0672.png b/results/train/ellipse/problem_0672.png
new file mode 100644
index 0000000000000000000000000000000000000000..218890faf31995f741dc98dab8efac21f13dfca4
--- /dev/null
+++ b/results/train/ellipse/problem_0672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:736d9665a22ed19c55d9a411fae98fe9f1495c36112b0974f7035d1b10c99733
+size 192629
diff --git a/results/train/ellipse/problem_0678.png b/results/train/ellipse/problem_0678.png
new file mode 100644
index 0000000000000000000000000000000000000000..0db71928d3bf7de1285883ba344b76ff93a04388
--- /dev/null
+++ b/results/train/ellipse/problem_0678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57720efd8a252aa31eb92c236b5f6cdd7a7160effce6755d63d1cb7e14219419
+size 218135
diff --git a/results/train/ellipse/problem_0682.png b/results/train/ellipse/problem_0682.png
new file mode 100644
index 0000000000000000000000000000000000000000..d60f4cab901d8a449dc8e37b2b26fac930ef7085
--- /dev/null
+++ b/results/train/ellipse/problem_0682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c58a359aa09bf0318588ca0a49856ba218559c35c8e670b7097525f148a4bea
+size 229213
diff --git a/results/train/ellipse/problem_0684.png b/results/train/ellipse/problem_0684.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d8dc94916552da87de2cd3d3e6e9a6c1841109a
--- /dev/null
+++ b/results/train/ellipse/problem_0684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f27731389c15cc1d07b0d0c715f1bb5cbccf705a5337234d58989ebe7ff11965
+size 223217
diff --git a/results/train/ellipse/problem_0685.png b/results/train/ellipse/problem_0685.png
new file mode 100644
index 0000000000000000000000000000000000000000..df25e55c341db123cb12e96fdb713afb6b5c061e
--- /dev/null
+++ b/results/train/ellipse/problem_0685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:579299494b1256393252a400c7a7b85190465fd3a5dbeb16b396f189fbbc53da
+size 224418
diff --git a/results/train/ellipse/problem_0686.png b/results/train/ellipse/problem_0686.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb0bb2c42778b2debaf3a0cea0553703f00d9374
--- /dev/null
+++ b/results/train/ellipse/problem_0686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fcf755b9318dabe0f93885ba8b8686353a4601c0ae84f9fa5f621e6bec55d3e
+size 223281
diff --git a/results/train/ellipse/problem_0691.png b/results/train/ellipse/problem_0691.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c3b25ba7243ea70e9b395cf9072e6dd3bc35160
--- /dev/null
+++ b/results/train/ellipse/problem_0691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d76c8f6eed8eb5aa9c493eed0d322b129df4aba3934a8d7b88fb859d994a8912
+size 227144
diff --git a/results/train/ellipse/problem_0693.png b/results/train/ellipse/problem_0693.png
new file mode 100644
index 0000000000000000000000000000000000000000..595c612c15560a1476e86616a18d22c8fb5dd47a
--- /dev/null
+++ b/results/train/ellipse/problem_0693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcf23e927a2dd5739df20fb8c85611e5c953034cbfd17ad6a0efba5538630cd0
+size 222998
diff --git a/results/train/ellipse/problem_0699.png b/results/train/ellipse/problem_0699.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fd76b318d0deb473588ce104e5bd57d1501065f
--- /dev/null
+++ b/results/train/ellipse/problem_0699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a3366e2807cf664f3ed7b93110b7969e2324725849b98e199db8f53f3cda735
+size 219807
diff --git a/results/train/ellipse/problem_0703.png b/results/train/ellipse/problem_0703.png
new file mode 100644
index 0000000000000000000000000000000000000000..f98be0b6a9cd36796a2d743446ecff37df46c4f1
--- /dev/null
+++ b/results/train/ellipse/problem_0703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc6e67cba31b2e9c0bdb7246b70607cc01cecfd6e57fae4e2d0925f20a64a9e3
+size 190605
diff --git a/results/train/ellipse/problem_0708.png b/results/train/ellipse/problem_0708.png
new file mode 100644
index 0000000000000000000000000000000000000000..07f4e096a812b623aa7e0e77db1d684812f6b0b3
--- /dev/null
+++ b/results/train/ellipse/problem_0708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7bec5d551e033117797f7bbce7e37fff8b15685450ae968a188f97df8bdf7db
+size 228087
diff --git a/results/train/ellipse/problem_0713.png b/results/train/ellipse/problem_0713.png
new file mode 100644
index 0000000000000000000000000000000000000000..00c5a9fc03f2d4d31c0450504c0e8309b35ba666
--- /dev/null
+++ b/results/train/ellipse/problem_0713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8b1b3a4155614ceb44415f49ae7c738caf03388383c12bbd66de6bd4225a5b9
+size 243601
diff --git a/results/train/ellipse/problem_0715.png b/results/train/ellipse/problem_0715.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b632ca8c7d023ea7fcbf1e9eabc6bab6f5438e4
--- /dev/null
+++ b/results/train/ellipse/problem_0715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8c6b772eb3285b759986a9ca85695488e87dc658a97e154bc2bd60cff155e15
+size 222473
diff --git a/results/train/ellipse/problem_0717.png b/results/train/ellipse/problem_0717.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bec8728fa531d42616e9697aa176cb00a0e2c60
--- /dev/null
+++ b/results/train/ellipse/problem_0717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6dc6db602f1e69317cf814281a3f4bbe0a26fd8bf3750ed6a2c762adf49a0dd3
+size 228425
diff --git a/results/train/ellipse/problem_0720.png b/results/train/ellipse/problem_0720.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ac4598648a8231c866cd55a2d1c0556270697fa
--- /dev/null
+++ b/results/train/ellipse/problem_0720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a744495b911e5b6ff97a006d0ba8f32fca8340bc8eb76506ddea45cd225c961
+size 226123
diff --git a/results/train/ellipse/problem_0724.png b/results/train/ellipse/problem_0724.png
new file mode 100644
index 0000000000000000000000000000000000000000..96b986687ae64256daf3f897287ad59622c55eb8
--- /dev/null
+++ b/results/train/ellipse/problem_0724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0922fe77d840e65d9afc73fe0e9e68f8d51d0e734f11c241d4e9c0d7814e0095
+size 216622
diff --git a/results/train/ellipse/problem_0726.png b/results/train/ellipse/problem_0726.png
new file mode 100644
index 0000000000000000000000000000000000000000..604d55c39a460b385049f2c6d0f9cd0709228e14
--- /dev/null
+++ b/results/train/ellipse/problem_0726.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7254105291756cde9b794c5e1448b96b8741434df4f801ae22d936f602848c19
+size 215024
diff --git a/results/train/ellipse/problem_0729.png b/results/train/ellipse/problem_0729.png
new file mode 100644
index 0000000000000000000000000000000000000000..4af7f4299a46c55b80f684be278ef1a01bcd5bf8
--- /dev/null
+++ b/results/train/ellipse/problem_0729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a5487642b05f54203e09dbd57cfb907fccb1a228ae72f3d50aa2922a30a7e2d
+size 218140
diff --git a/results/train/ellipse/problem_0739.png b/results/train/ellipse/problem_0739.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d335f9e75b73fb886c03324c3a94ce02653c094
--- /dev/null
+++ b/results/train/ellipse/problem_0739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0185cfb093d1dfe91c941a3af9e78ee94e31d1318cb1bf123ae86ad538f5ee9
+size 217526
diff --git a/results/train/ellipse/problem_0743.png b/results/train/ellipse/problem_0743.png
new file mode 100644
index 0000000000000000000000000000000000000000..b392e2aa82ff5dcbb5b35723ac6707409903b4d6
--- /dev/null
+++ b/results/train/ellipse/problem_0743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c660786e236bcd3b4ed146a324c533c63d3bda3e5fc30dd456ad69309f09b63
+size 240919
diff --git a/results/train/ellipse/problem_0746.png b/results/train/ellipse/problem_0746.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c277fe7cbe68113ec259409e9e1dd875ac67fb6
--- /dev/null
+++ b/results/train/ellipse/problem_0746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d10ca94663c17a1fc8eb18aaf6145c7c359bdfc78092a4474613f49c0683f2e
+size 220471
diff --git a/results/train/ellipse/problem_0753.png b/results/train/ellipse/problem_0753.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fb39dc3c5383d88393d9a5b43d411ce3a55aaf4
--- /dev/null
+++ b/results/train/ellipse/problem_0753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffe89ca7493094f466c5972c3e027b9c9b03b6eb87e92c88160076b9d2b10f8e
+size 229876
diff --git a/results/train/ellipse/problem_0757.png b/results/train/ellipse/problem_0757.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ae8ecccb4a1e6de2988c61250da5d883ffb731f
--- /dev/null
+++ b/results/train/ellipse/problem_0757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe98fead7cb9799327bc1b631ffb53e57ca6dd4e2008e1615a65f6f44a4959fc
+size 210868
diff --git a/results/train/ellipse/problem_0761.png b/results/train/ellipse/problem_0761.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c7906bbb4b9d95c41b6a483d62a55157596a228
--- /dev/null
+++ b/results/train/ellipse/problem_0761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0823c3c07fca4af44a577cff0be93358e1bb6fc83d0d8f0ee3ae9bcd0c9e09ca
+size 223141
diff --git a/results/train/ellipse/problem_0765.png b/results/train/ellipse/problem_0765.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb0f42572db7c1b237679bb78de092ef62db7114
--- /dev/null
+++ b/results/train/ellipse/problem_0765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e024b46c259392163daeff9e268ad42f9161e6b98732d835bfc945d2ae1cd485
+size 219698
diff --git a/results/train/ellipse/problem_0767.png b/results/train/ellipse/problem_0767.png
new file mode 100644
index 0000000000000000000000000000000000000000..d72d501992873dfbf298119f054c9d5503fe0eca
--- /dev/null
+++ b/results/train/ellipse/problem_0767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f07bf5f1cb80d76c8a75ee54b4defb37d4580dbaccef554c4f3415d00e8c345
+size 226001
diff --git a/results/train/ellipse/problem_0770.png b/results/train/ellipse/problem_0770.png
new file mode 100644
index 0000000000000000000000000000000000000000..d75ded819ab377d6ce72bac429c4dea0d0f8889b
--- /dev/null
+++ b/results/train/ellipse/problem_0770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:883b96391f6fd14668d7eca7567c659e2f0add7c8eff9482df12ca2ebb0a8c3a
+size 227363
diff --git a/results/train/ellipse/problem_0775.png b/results/train/ellipse/problem_0775.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb51a6aae18ffa86d1dc80c6a57183f579d4fa25
--- /dev/null
+++ b/results/train/ellipse/problem_0775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7100d7b34b667e3f922982bceea73221e7080c2179dfdf32da22296813f4bf5
+size 224563
diff --git a/results/train/ellipse/problem_0780.png b/results/train/ellipse/problem_0780.png
new file mode 100644
index 0000000000000000000000000000000000000000..377d89248b96ce28407e4ed16bd5d3b70901ddbb
--- /dev/null
+++ b/results/train/ellipse/problem_0780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:143012fe84232b1cea58d9b8f40ed84883e3a25077e76424c2a34fa2b54eee26
+size 211181
diff --git a/results/train/ellipse/problem_0781.png b/results/train/ellipse/problem_0781.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf31ccd04058ad1674db3d04c532bdb815353c3f
--- /dev/null
+++ b/results/train/ellipse/problem_0781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bdba4aa268c0ad3295ee762dd0f00d0b5f22829ab0b90c8f518fcce53c4daf3
+size 233906
diff --git a/results/train/ellipse/problem_0784.png b/results/train/ellipse/problem_0784.png
new file mode 100644
index 0000000000000000000000000000000000000000..3932383f41ffc78764e135baaee885324c476f64
--- /dev/null
+++ b/results/train/ellipse/problem_0784.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e863fded5139a1c40592819c82722e54c9d5d60efd7a550be661c8c222a5f6eb
+size 198443
diff --git a/results/train/ellipse/problem_0790.png b/results/train/ellipse/problem_0790.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a4b00ff35af09105b7b75fc4a715cf867fa239e
--- /dev/null
+++ b/results/train/ellipse/problem_0790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39414fe6727bee350ce82ea7194a2a276131dd818f80b369cc83d545d9f13455
+size 225174
diff --git a/results/train/ellipse/problem_0791.png b/results/train/ellipse/problem_0791.png
new file mode 100644
index 0000000000000000000000000000000000000000..62facf032809d92813ddfb50d7e571f04fe40460
--- /dev/null
+++ b/results/train/ellipse/problem_0791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fb39215d43c14bf42cf69e97fd19a5f9bd34cde4cc7e5510c34cec1191c5786
+size 210823
diff --git a/results/train/ellipse/problem_0797.png b/results/train/ellipse/problem_0797.png
new file mode 100644
index 0000000000000000000000000000000000000000..535f925a7fa75b6a7ca7b83e10a904d3559cb2bf
--- /dev/null
+++ b/results/train/ellipse/problem_0797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca034964ca4d28cb714c1937e0a27fc1ece1614b1346db3fb9db479cff62f005
+size 214772
diff --git a/results/train/ellipse/problem_0802.png b/results/train/ellipse/problem_0802.png
new file mode 100644
index 0000000000000000000000000000000000000000..1982bbfff11b7ed38e22f078ca11393a407bb100
--- /dev/null
+++ b/results/train/ellipse/problem_0802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f61bbf1e114d5e1e8d12e8b6897fc64706d23c02f68fd63549eb4046dca2da81
+size 208017
diff --git a/results/train/ellipse/problem_0813.png b/results/train/ellipse/problem_0813.png
new file mode 100644
index 0000000000000000000000000000000000000000..e135122770146efe97398a204370ad32bfa783e5
--- /dev/null
+++ b/results/train/ellipse/problem_0813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a66a0a2ef8de27dda432dc57b398179a4a637014f6e767a09427dedb5dfcc8c
+size 221500
diff --git a/results/train/ellipse/problem_0815.png b/results/train/ellipse/problem_0815.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c0840866e3931d562b34577f2c4100702a81649
--- /dev/null
+++ b/results/train/ellipse/problem_0815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60a91aba463cb10bff8853a6867f4bb0a81b73e197bdcc8c149dc19f34bba094
+size 228743
diff --git a/results/train/ellipse/problem_0819.png b/results/train/ellipse/problem_0819.png
new file mode 100644
index 0000000000000000000000000000000000000000..de587f5a40545659de98fb05e001f8f8b8749df7
--- /dev/null
+++ b/results/train/ellipse/problem_0819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9910c343ef02e1fc068b249df58ca91ed3625ab98392476e6e194158b987b2f
+size 230701
diff --git a/results/train/ellipse/problem_0821.png b/results/train/ellipse/problem_0821.png
new file mode 100644
index 0000000000000000000000000000000000000000..97bdb06fd5e531310d66f10b7df35768e0724b38
--- /dev/null
+++ b/results/train/ellipse/problem_0821.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecc15c847790a4516abf945e79bc56c1c82e4d2b65a440bf807bf6de122c6451
+size 220864
diff --git a/results/train/ellipse/problem_0822.png b/results/train/ellipse/problem_0822.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b8df2ac60fdb0d9bd8fc900fcad5b973a41a0b5
--- /dev/null
+++ b/results/train/ellipse/problem_0822.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5e2d87a1074cb2739eecc0a9a3076cb88cde3927b101191e3c64c2bc5e66df8
+size 193750
diff --git a/results/train/ellipse/problem_0823.png b/results/train/ellipse/problem_0823.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f3b6aafdaaec6d2f5c6b268d967e36b92013d65
--- /dev/null
+++ b/results/train/ellipse/problem_0823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae6b9c05e25900a1f3a9aa4dc72d76871d2228e71915e988e67f83cb935cb61f
+size 235961
diff --git a/results/train/ellipse/problem_0825.png b/results/train/ellipse/problem_0825.png
new file mode 100644
index 0000000000000000000000000000000000000000..890ee7d459d76ca822de95236799172fbb3bb6b7
--- /dev/null
+++ b/results/train/ellipse/problem_0825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:add0d7e620c869f34b114ff2e0c7d95566fd6b6a2d08951f1f7e2e661b87753e
+size 229112
diff --git a/results/train/ellipse/problem_0829.png b/results/train/ellipse/problem_0829.png
new file mode 100644
index 0000000000000000000000000000000000000000..05df3bdb9f4ec29f184ed9733ac5df153d3c7403
--- /dev/null
+++ b/results/train/ellipse/problem_0829.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af9b0070eb36edddceecf7eef859fa37d976ac21eb863247b5cd7811368da4e8
+size 236938
diff --git a/results/train/ellipse/problem_0840.png b/results/train/ellipse/problem_0840.png
new file mode 100644
index 0000000000000000000000000000000000000000..70f06fa592f06df2b49ed9d4f8822b0463710bbe
--- /dev/null
+++ b/results/train/ellipse/problem_0840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d54cc534b1b8a2d4907b2d6712fc1a7e64b2096940e4f31c6e00c6e531f8865e
+size 233373
diff --git a/results/train/ellipse/problem_0841.png b/results/train/ellipse/problem_0841.png
new file mode 100644
index 0000000000000000000000000000000000000000..f16564e3600e69e5ae69f8f8dc8e07c52e0030bf
--- /dev/null
+++ b/results/train/ellipse/problem_0841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e7d0afe271defccfa3cffdd7d4f6de8856b997d5e9f642705868b2a4bca04cf
+size 192313
diff --git a/results/train/ellipse/problem_0843.png b/results/train/ellipse/problem_0843.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4b83e76199576ac943f234fe3babb57bba238dc
--- /dev/null
+++ b/results/train/ellipse/problem_0843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31e62fe021389f89af99025db02bc243dfb7144574c8d89e76a69d3339bd3b50
+size 201946
diff --git a/results/train/ellipse/problem_0853.png b/results/train/ellipse/problem_0853.png
new file mode 100644
index 0000000000000000000000000000000000000000..e52c0eb78eca9cb093bd326781668d6b3c1790ba
--- /dev/null
+++ b/results/train/ellipse/problem_0853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5d4c50a30efc8face199e9423d8ba0770d2868affd258ddde602f344a909e13
+size 208833
diff --git a/results/train/ellipse/problem_0857.png b/results/train/ellipse/problem_0857.png
new file mode 100644
index 0000000000000000000000000000000000000000..378bc1b1ea7ba318363268ade59d038a47db636b
--- /dev/null
+++ b/results/train/ellipse/problem_0857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e827e808abca3073e0d59e1a3d17660611242e0f1dd3176b1ec8e5bd42ee73a1
+size 242707
diff --git a/results/train/ellipse/problem_0858.png b/results/train/ellipse/problem_0858.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fe38687c5db533cbd958fe484d9c6f20477e5bc
--- /dev/null
+++ b/results/train/ellipse/problem_0858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df901e527942e233967d936f726c06da0b314283f239ad313077a40c36229ff7
+size 225886
diff --git a/results/train/ellipse/problem_0861.png b/results/train/ellipse/problem_0861.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b51e7c2a434c19cd31c8378de767f5ec3340323
--- /dev/null
+++ b/results/train/ellipse/problem_0861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a628c534dc09eb3449e48b4668141696b2c8375648b2ac1d3be8e8a6d975a7e9
+size 230510
diff --git a/results/train/ellipse/problem_0862.png b/results/train/ellipse/problem_0862.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb907de35ebf39aaaf51445b81b203c07632a797
--- /dev/null
+++ b/results/train/ellipse/problem_0862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2001b547bfb7993418dbe1dca25d97e4557536f2dcc87e5d0d3034616dc5f17
+size 221520
diff --git a/results/train/ellipse/problem_0863.png b/results/train/ellipse/problem_0863.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ddbf7eabe42b0b46419dd167a21139917e46347
--- /dev/null
+++ b/results/train/ellipse/problem_0863.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:580eeff0ab7f52edfdd85728457b2cb52b973fe3d1fdc563248a983239784f78
+size 212986
diff --git a/results/train/ellipse/problem_0870.png b/results/train/ellipse/problem_0870.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4fd03e02aebe4a0dad5ac102720fb85a429dea9
--- /dev/null
+++ b/results/train/ellipse/problem_0870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89305c3cd065f1765e108809e280a01f88fb1cd1e6dd983c8e1032a62621a655
+size 227826
diff --git a/results/train/ellipse/problem_0892.png b/results/train/ellipse/problem_0892.png
new file mode 100644
index 0000000000000000000000000000000000000000..48b0db5d88659dcbe1ce9f9fd68c922dd0e2391c
--- /dev/null
+++ b/results/train/ellipse/problem_0892.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65ea54a281bc294403d0ccf8a26c8bf62c6da02679555a118eb9f21aee55da98
+size 227859
diff --git a/results/train/ellipse/problem_0896.png b/results/train/ellipse/problem_0896.png
new file mode 100644
index 0000000000000000000000000000000000000000..81c1cfad7bbcccc35f25d16cbc562f5299568902
--- /dev/null
+++ b/results/train/ellipse/problem_0896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3482ca76c347ff4a594844928a961a4d41ce0efd8b3ad180104f4c48c716afa
+size 212098
diff --git a/results/train/ellipse/problem_0903.png b/results/train/ellipse/problem_0903.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c33b477c4bdc7ecc7c564d0283f703f55ad3f1b
--- /dev/null
+++ b/results/train/ellipse/problem_0903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:699a49a1eedd552a3b593ca80e00453790475773ed9677e9a73c0aa6f24f0b02
+size 230671
diff --git a/results/train/ellipse/problem_0906.png b/results/train/ellipse/problem_0906.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddd421de23e60f9b8373f4a64142dbf822c0b23c
--- /dev/null
+++ b/results/train/ellipse/problem_0906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c171322633fc5e1d23f53cc01116ef027ba7d0c15bcc2acea628f489798c660
+size 222734
diff --git a/results/train/ellipse/problem_0913.png b/results/train/ellipse/problem_0913.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f1d8f89ccea53fa1059e536a7b90ce0bb7b2c82
--- /dev/null
+++ b/results/train/ellipse/problem_0913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d09d0a0df5cd7270a03202c5388169a6a3d6bd085c1816ea15e8b4d31832e47
+size 236127
diff --git a/results/train/ellipse/problem_0915.png b/results/train/ellipse/problem_0915.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f248943fb35212064a13f15b0e7ad001116b76a
--- /dev/null
+++ b/results/train/ellipse/problem_0915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9963b167ecf8d9470b6bb11d89f3993005b5a34f6fbea0093f35f816fdf81e19
+size 216667
diff --git a/results/train/ellipse/problem_0919.png b/results/train/ellipse/problem_0919.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b1d3406a11f600729f45f63181c02b3fd64c5b8
--- /dev/null
+++ b/results/train/ellipse/problem_0919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:509669be80a3350241cbab03233137cc49d42e6977ccc4d81d976d2dea41a7e5
+size 193248
diff --git a/results/train/ellipse/problem_0932.png b/results/train/ellipse/problem_0932.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab51f39898df9e77406459fb1c4982cb2e8012e6
--- /dev/null
+++ b/results/train/ellipse/problem_0932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98b4af2732bc91793e5e88cddc1594cfc99ec5ecdbc93f2e80364dd716559ef6
+size 216854
diff --git a/results/train/ellipse/problem_0933.png b/results/train/ellipse/problem_0933.png
new file mode 100644
index 0000000000000000000000000000000000000000..96523a0ce37f07660bc08e3eec31f1ed96fb256b
--- /dev/null
+++ b/results/train/ellipse/problem_0933.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1682fe565694f8f6a631c5c98c80178d54cbabbc2e6ec08e2280e3d6501fe68
+size 187311
diff --git a/results/train/ellipse/problem_0936.png b/results/train/ellipse/problem_0936.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d6cc62588e7eadda470358bfe079f520837503f
--- /dev/null
+++ b/results/train/ellipse/problem_0936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2566815ce1f114a26c4ee3ee6d3256a050290c52f5fb37fc9418a7a02b43178f
+size 212529
diff --git a/results/train/ellipse/problem_0941.png b/results/train/ellipse/problem_0941.png
new file mode 100644
index 0000000000000000000000000000000000000000..35734cfab2633b7976b893a7a92486a9055761ec
--- /dev/null
+++ b/results/train/ellipse/problem_0941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30a31e8aa1f30d5b860c4f74032e16b26fe43c0bcb28fcceeb2a1d824440ed49
+size 220733
diff --git a/results/train/ellipse/problem_0942.png b/results/train/ellipse/problem_0942.png
new file mode 100644
index 0000000000000000000000000000000000000000..226ebecaaba2f641e82890c8f327b3decc89f0eb
--- /dev/null
+++ b/results/train/ellipse/problem_0942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07340ebc64157e876eac992de92771641eca064a4406b4ec9b02155fbdc9dabb
+size 192063
diff --git a/results/train/ellipse/problem_0946.png b/results/train/ellipse/problem_0946.png
new file mode 100644
index 0000000000000000000000000000000000000000..779db66e245bd769031eff0f1e49159125c77d61
--- /dev/null
+++ b/results/train/ellipse/problem_0946.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27b85512b54974f9d2a420799f7b111838e8e91a0445bdc82e40b66596dfaa8a
+size 227648
diff --git a/results/train/ellipse/problem_0950.png b/results/train/ellipse/problem_0950.png
new file mode 100644
index 0000000000000000000000000000000000000000..de42f1895e32079228124209f02b7f97c78892d1
--- /dev/null
+++ b/results/train/ellipse/problem_0950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fa2ef99dbdadbc2d4578022fe466ecf4b2b3e35741040564a51b8571cb95a2d
+size 193695
diff --git a/results/train/ellipse/problem_0956.png b/results/train/ellipse/problem_0956.png
new file mode 100644
index 0000000000000000000000000000000000000000..2acfd946cd03d8cf9d0449fd10b54c65654015e3
--- /dev/null
+++ b/results/train/ellipse/problem_0956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c0668c7b3e294134106d9082a95c0d48197fe8ff2ec697955c5bd8c13c2654f
+size 222715
diff --git a/results/train/ellipse/problem_0971.png b/results/train/ellipse/problem_0971.png
new file mode 100644
index 0000000000000000000000000000000000000000..b461c370110ee9410649c2ba3aa83b154e79a3e6
--- /dev/null
+++ b/results/train/ellipse/problem_0971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a56efe354afa0adfffb90f4b32ddf577fb2200750e74f61792b479f6a6650411
+size 224844
diff --git a/results/train/ellipse/problem_0977.png b/results/train/ellipse/problem_0977.png
new file mode 100644
index 0000000000000000000000000000000000000000..03bc0f8f21663bb0b5b69216743e52840a8a4252
--- /dev/null
+++ b/results/train/ellipse/problem_0977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e15b5c4c81a43562c5270d26650573619074f2fe91b5cf5a5daeb7068c220f8
+size 237801
diff --git a/results/train/ellipse/problem_0986.png b/results/train/ellipse/problem_0986.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5bfd01766498ea7c56c74849d13c3c54b8fb328
--- /dev/null
+++ b/results/train/ellipse/problem_0986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9ae1831b6b341060d964142c4a7363bf2e3737d58b83f8fd3c2b372488fbf00
+size 219240
diff --git a/results/train/ellipse/problem_0987.png b/results/train/ellipse/problem_0987.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf99042cab20184b784b63b1117b6dbb6ad9aab1
--- /dev/null
+++ b/results/train/ellipse/problem_0987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fc8646041364ecc9989cb8d7864a506570430802e5ca6c5ebea24c4142d599d
+size 230423
diff --git a/results/train/ellipse/problem_0988.png b/results/train/ellipse/problem_0988.png
new file mode 100644
index 0000000000000000000000000000000000000000..20befc5f3bcb2f8f323ae8701dbe90f1866865d1
--- /dev/null
+++ b/results/train/ellipse/problem_0988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d0235f646d7f0721061285aa9cdadb3d025a076cbdce14d6d07d513fa5d63b5
+size 236974
diff --git a/results/train/ellipse/problem_0989.png b/results/train/ellipse/problem_0989.png
new file mode 100644
index 0000000000000000000000000000000000000000..e95a65538d6b807195f28858427b6417e8f31fb6
--- /dev/null
+++ b/results/train/ellipse/problem_0989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cc22feab476f56bd83a9309752f9c34ce6e9091c1b36cf3f7dc886d96d77e67
+size 209723
diff --git a/results/train/ellipse/problem_0997.png b/results/train/ellipse/problem_0997.png
new file mode 100644
index 0000000000000000000000000000000000000000..74fa4fea4c1347493e9893b175ed4346f8356177
--- /dev/null
+++ b/results/train/ellipse/problem_0997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45bc4d07da6ac6f2c5bd8b19cd2b816fdf81cfb501eb1004f0cd58e54096f816
+size 229150
diff --git a/results/train/ellipse/problem_0998.png b/results/train/ellipse/problem_0998.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b1edde99bea368d2308c89d2518b65ee6585ce6
--- /dev/null
+++ b/results/train/ellipse/problem_0998.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:280db5ed22f5e813ddf3bb46020af481642974ab7c26a555899e47c7b18926f0
+size 231002
diff --git a/results/train/ellipse/problem_1008.png b/results/train/ellipse/problem_1008.png
new file mode 100644
index 0000000000000000000000000000000000000000..510cb343bcd1c8708954923ed177305a6ed59dc8
--- /dev/null
+++ b/results/train/ellipse/problem_1008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea4873276ee2983a61225850b79b3a72190448b4f7b1f815b5bd81213cb8bd9f
+size 216906
diff --git a/results/train/ellipse/problem_1009.png b/results/train/ellipse/problem_1009.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcaafbe161d4eb5b713f01410aaf915608870cf4
--- /dev/null
+++ b/results/train/ellipse/problem_1009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89b1fefd8ce625521a726d3e3df73ba819d4881a87edc63d54a0d5c4c8cc7e4d
+size 188961
diff --git a/results/train/ellipse/problem_1010.png b/results/train/ellipse/problem_1010.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a1a798598f1982c8de2c07853a7009980c4694f
--- /dev/null
+++ b/results/train/ellipse/problem_1010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d7ef46792a45eeb080e09a3899f14decb9ff4a9510085296cab3a32c2b0713d
+size 228244
diff --git a/results/train/ellipse/problem_1015.png b/results/train/ellipse/problem_1015.png
new file mode 100644
index 0000000000000000000000000000000000000000..3dce79a658cd3f971762d5b3685c4dee99a0f25d
--- /dev/null
+++ b/results/train/ellipse/problem_1015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc3cf2be93ff6f7d4fd97dec268a0b8b88cb6ae9f06b09be8f3d8a807bfc486f
+size 238702
diff --git a/results/train/ellipse/problem_1018.png b/results/train/ellipse/problem_1018.png
new file mode 100644
index 0000000000000000000000000000000000000000..326bd37705ae862a4d4966cd0acc538fc2d41b87
--- /dev/null
+++ b/results/train/ellipse/problem_1018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:641162f462ed52a9ab3951116bd1424f47b370e705ee21babb40df4f2eed902a
+size 183995
diff --git a/results/train/ellipse/problem_1027.png b/results/train/ellipse/problem_1027.png
new file mode 100644
index 0000000000000000000000000000000000000000..0563f95eee6998d277736fb65eae9ab6bbc5bf12
--- /dev/null
+++ b/results/train/ellipse/problem_1027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e4cd5b1bb08e4ee4e7430d219b2a2346a62cebb671d428c609fd59aaf312381
+size 218284
diff --git a/results/train/ellipse/problem_1030.png b/results/train/ellipse/problem_1030.png
new file mode 100644
index 0000000000000000000000000000000000000000..6697b016cf41107988736dd02c7e6d2f2603b5d5
--- /dev/null
+++ b/results/train/ellipse/problem_1030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4021beef0b795e090db56b6a0a531f329c42b3a8d66a6850f908822733eb15e4
+size 229924
diff --git a/results/train/ellipse/problem_1031.png b/results/train/ellipse/problem_1031.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb0073dd16d1aa181dd8b035f848c17c442343a0
--- /dev/null
+++ b/results/train/ellipse/problem_1031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3420721242ebf22e55775a43167d2914f800cf6f5a0568d39919ad98fb8b99ea
+size 222167
diff --git a/results/train/ellipse/problem_1032.png b/results/train/ellipse/problem_1032.png
new file mode 100644
index 0000000000000000000000000000000000000000..27bea9ea07b5d38bdfdd0025a7ce1f0e51fece27
--- /dev/null
+++ b/results/train/ellipse/problem_1032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d43f9e0588aae8232b16c816e998cb90cbbec4b31f2536f03280e28d2c98b67f
+size 201937
diff --git a/results/train/ellipse/problem_1034.png b/results/train/ellipse/problem_1034.png
new file mode 100644
index 0000000000000000000000000000000000000000..934ec5a8a423cf864996de7f879ed0e73a9739d8
--- /dev/null
+++ b/results/train/ellipse/problem_1034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aec49b735632db0a2695ad6f640ee64387a8267364707869e8cd61b7a405e801
+size 217023
diff --git a/results/train/ellipse/problem_1037.png b/results/train/ellipse/problem_1037.png
new file mode 100644
index 0000000000000000000000000000000000000000..4223a61cff23940a39974fcc00151ff897f9898b
--- /dev/null
+++ b/results/train/ellipse/problem_1037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0a1c5aba0d5fbae24bfc50f531fb89def608cadda3ccda7a5e2a5d39d1c4ebf
+size 235846
diff --git a/results/train/ellipse/problem_1042.png b/results/train/ellipse/problem_1042.png
new file mode 100644
index 0000000000000000000000000000000000000000..42ecb7daa4c6c2c9dfbe0db374fbb8d24764ba0f
--- /dev/null
+++ b/results/train/ellipse/problem_1042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfa733a00132dc29e18ef0a1bf0d0c786ca3efc883afbe02f8da1794c8bdddbf
+size 204311
diff --git a/results/train/ellipse/problem_1044.png b/results/train/ellipse/problem_1044.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1f465b5eeb77ffcc91c5968659354070c8c90a5
--- /dev/null
+++ b/results/train/ellipse/problem_1044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d38d0c667e812b295c669a9aa7f72b7a1575513e1d9e95a4a5f0d99ebfdc78d0
+size 218471
diff --git a/results/train/ellipse/problem_1045.png b/results/train/ellipse/problem_1045.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ebaa7b48b64123e1ff644ccf147d01f81cc7255
--- /dev/null
+++ b/results/train/ellipse/problem_1045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3f4c3620a9ed9750c92aca6c1199bf6803aa1f3b29772e971a29511d3125be2
+size 213729
diff --git a/results/train/ellipse/problem_1049.png b/results/train/ellipse/problem_1049.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f183c23d00a72862f734939e5b8f6a6ff18fc75
--- /dev/null
+++ b/results/train/ellipse/problem_1049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:332f49582e443a9a62c2225b8b6d8b5fa740d641b71e36f8218f5d5949bd7f7d
+size 224431
diff --git a/results/train/ellipse/problem_1062.png b/results/train/ellipse/problem_1062.png
new file mode 100644
index 0000000000000000000000000000000000000000..e71bf93ccbb1aef59ce934557afaa8e025ab79c5
--- /dev/null
+++ b/results/train/ellipse/problem_1062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f0944ca6d425ba4e6d3c0233d23660c336a4d213f110867ff069a110d1bed65
+size 193289
diff --git a/results/train/ellipse/problem_1067.png b/results/train/ellipse/problem_1067.png
new file mode 100644
index 0000000000000000000000000000000000000000..9628e92d4c3e9d0f4fcb0f6d5e6f516ce9e506e2
--- /dev/null
+++ b/results/train/ellipse/problem_1067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0eb61c5ef8096732a5601927b8a0cac2520c9bf1bd7496eb5390a8f18887c1e
+size 227888
diff --git a/results/train/ellipse/problem_1069.png b/results/train/ellipse/problem_1069.png
new file mode 100644
index 0000000000000000000000000000000000000000..508ad136b98675850f44c18f39a1018e37a27f42
--- /dev/null
+++ b/results/train/ellipse/problem_1069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5ab091fa2a309ffec515811d298d6a37721c3e9f52dcf05b5ee202b00ffc3b4
+size 242269
diff --git a/results/train/ellipse/problem_1070.png b/results/train/ellipse/problem_1070.png
new file mode 100644
index 0000000000000000000000000000000000000000..90ff203e584c30f499f7a7833f3dd7f2a717d804
--- /dev/null
+++ b/results/train/ellipse/problem_1070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71d85abc8b8093cc92c70aa1fd7dc0440e7820e932d19365345d29fda890ca5b
+size 222380
diff --git a/results/train/ellipse/problem_1073.png b/results/train/ellipse/problem_1073.png
new file mode 100644
index 0000000000000000000000000000000000000000..7da4245db9b411d76a1070ddb01e82c9b94b71b1
--- /dev/null
+++ b/results/train/ellipse/problem_1073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a9c0ef9d79c55f9d7f9a361a4dd9a674d6206f129f497b5c1e9db01928b3f94
+size 211239
diff --git a/results/train/ellipse/problem_1078.png b/results/train/ellipse/problem_1078.png
new file mode 100644
index 0000000000000000000000000000000000000000..57c6c4f65652f943b3a565641c034900c65c5263
--- /dev/null
+++ b/results/train/ellipse/problem_1078.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e8205a06af18ddbe1e9caafff5e6efd6a1ab124b0bc64b3939d234e4ce2d830
+size 224554
diff --git a/results/train/ellipse/problem_1083.png b/results/train/ellipse/problem_1083.png
new file mode 100644
index 0000000000000000000000000000000000000000..f26b1fff684adc67ed8609edd90723f93f170307
--- /dev/null
+++ b/results/train/ellipse/problem_1083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a334084ee449c8b0db7e34648b5a4b4535db9e015006230b695f02c91f6f04b
+size 231076
diff --git a/results/train/ellipse/problem_1087.png b/results/train/ellipse/problem_1087.png
new file mode 100644
index 0000000000000000000000000000000000000000..34bb6d77ea8ef352da38959831abd80d63d0f9d3
--- /dev/null
+++ b/results/train/ellipse/problem_1087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b473a05666bbcf271928e65d7b2c2b7eaa2b29557e3874969b846257b8ec9d34
+size 190205
diff --git a/results/train/ellipse/problem_1090.png b/results/train/ellipse/problem_1090.png
new file mode 100644
index 0000000000000000000000000000000000000000..bbc284e739a3d698dcbe92c9f13477e3b145c8c8
--- /dev/null
+++ b/results/train/ellipse/problem_1090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16edd57c57876d9b52239e7b5944b85d5bd4f67cdc3366d8b589562b4b0fb780
+size 210930
diff --git a/results/train/ellipse/problem_1097.png b/results/train/ellipse/problem_1097.png
new file mode 100644
index 0000000000000000000000000000000000000000..6df8e8f3507b5d069dab9e7899f49c7e2f71a400
--- /dev/null
+++ b/results/train/ellipse/problem_1097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01691349aa4ede04a536f50ef9d91c601f1489831aec3eaf9b52e202eeabece7
+size 217183
diff --git a/results/train/ellipse/problem_1098.png b/results/train/ellipse/problem_1098.png
new file mode 100644
index 0000000000000000000000000000000000000000..67898c10904485187a71d2a94140ae6d8734a496
--- /dev/null
+++ b/results/train/ellipse/problem_1098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:118b5d50f5697941dd6085290737acdbc679cab2853b9a1b109c5c23b5f653d1
+size 225850
diff --git a/results/train/ellipse/problem_1103.png b/results/train/ellipse/problem_1103.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcc269b59b913de6a0cad004e2910dde1f572b30
--- /dev/null
+++ b/results/train/ellipse/problem_1103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd46dd980b28ff7849f4fc22a231bdc42c56d1530520b133e12ed37a94a68d66
+size 220650
diff --git a/results/train/ellipse/problem_1106.png b/results/train/ellipse/problem_1106.png
new file mode 100644
index 0000000000000000000000000000000000000000..b47102a6c7f8b6855cd315c493942d230c91376e
--- /dev/null
+++ b/results/train/ellipse/problem_1106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a073cba1c310552240b32be3bc8a4940b6781fa9edc394a75ebb79794e67850f
+size 217654
diff --git a/results/train/ellipse/problem_1111.png b/results/train/ellipse/problem_1111.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cc79772b572f0b6187a41846a8b5f42007eb4b6
--- /dev/null
+++ b/results/train/ellipse/problem_1111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d385bcd819ff239934580844d159ddb4777df14369e554fd3826d2c5c8aae9c
+size 205251
diff --git a/results/train/ellipse/problem_1113.png b/results/train/ellipse/problem_1113.png
new file mode 100644
index 0000000000000000000000000000000000000000..14810bdc6601fca42b1eb701baa3011da5c39c2d
--- /dev/null
+++ b/results/train/ellipse/problem_1113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1600407654425f3d248289c85b15b6da6c4c60851527a0791a64bf06aa33f8e
+size 234348
diff --git a/results/train/ellipse/problem_1120.png b/results/train/ellipse/problem_1120.png
new file mode 100644
index 0000000000000000000000000000000000000000..f94cb435a92a1bba821ba947eff9653caca7070a
--- /dev/null
+++ b/results/train/ellipse/problem_1120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0a72cc1e529e5fd53a5f99ffd29c69a3a9edba07d071b23c14a11b072c76832
+size 229836
diff --git a/results/train/ellipse/problem_1129.png b/results/train/ellipse/problem_1129.png
new file mode 100644
index 0000000000000000000000000000000000000000..c69dfabce289c95a1886d3b7cff3d60f573aace2
--- /dev/null
+++ b/results/train/ellipse/problem_1129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41b0dd394de9591199cf2e0d8582640c175700968abfa2f6004a207594926bd3
+size 234103
diff --git a/results/train/ellipse/problem_1132.png b/results/train/ellipse/problem_1132.png
new file mode 100644
index 0000000000000000000000000000000000000000..397d07a1561ab79f6114b4508368f35e35dd91ef
--- /dev/null
+++ b/results/train/ellipse/problem_1132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:638196b85c131e8e4b999f2b4ae0da2d596ed680b162bac4524c2cdee210f544
+size 230582
diff --git a/results/train/ellipse/problem_1133.png b/results/train/ellipse/problem_1133.png
new file mode 100644
index 0000000000000000000000000000000000000000..55375ee1af5dcea065ea8aa02835f9e01e982631
--- /dev/null
+++ b/results/train/ellipse/problem_1133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbc92404d12bccc0fc22179ac8331aefe0d93a3c7169935d728cb92c524ce4e8
+size 235428
diff --git a/results/train/ellipse/problem_1138.png b/results/train/ellipse/problem_1138.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ea557523f7b0d75e3f04a84cbaac609c75d6b3d
--- /dev/null
+++ b/results/train/ellipse/problem_1138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e6c41d12b694e9b181641b7cf4d30689dec0c3cf1a58708c94c198975058cd1
+size 211228
diff --git a/results/train/ellipse/problem_1141.png b/results/train/ellipse/problem_1141.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba5f3d427caa96c5da8db7fcaa405772de9cefec
--- /dev/null
+++ b/results/train/ellipse/problem_1141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d87639500ea993488ba65bc5b4dd1991bbf59c334806ee183ac7512b6ebdd99d
+size 197211
diff --git a/results/train/ellipse/problem_1143.png b/results/train/ellipse/problem_1143.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d5d8aa8a0128677e9174341317164ec0acf6875
--- /dev/null
+++ b/results/train/ellipse/problem_1143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbcd6cbe35ae618c1c2d852462c0847b307a3d23a1833d41ade0398d0703a769
+size 227473
diff --git a/results/train/ellipse/problem_1147.png b/results/train/ellipse/problem_1147.png
new file mode 100644
index 0000000000000000000000000000000000000000..b06c6dc9613c0820aa113bb5e91286cf37008687
--- /dev/null
+++ b/results/train/ellipse/problem_1147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d1b3ebd6973ce05d30ced2e89cb0b5c848e16e9edd11bd7045487d7a30a9b08
+size 216046
diff --git a/results/train/ellipse/problem_1148.png b/results/train/ellipse/problem_1148.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba033722829ae31c8455ed2d4be48aa29a728f10
--- /dev/null
+++ b/results/train/ellipse/problem_1148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa6f2c9ececc322bc3372f5c18733dfa998ce24ecfeadb211314188fc97b97aa
+size 234484
diff --git a/results/train/ellipse/problem_1150.png b/results/train/ellipse/problem_1150.png
new file mode 100644
index 0000000000000000000000000000000000000000..295a1fced06132982547dc61631fb36d78f74b06
--- /dev/null
+++ b/results/train/ellipse/problem_1150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0c751c7944d757c34cf39586f28fc8122807bc21db9f89629145237b57267a9
+size 196295
diff --git a/results/train/ellipse/problem_1155.png b/results/train/ellipse/problem_1155.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a090493083285f2eae5b52a1f69aa8c4d99a118
--- /dev/null
+++ b/results/train/ellipse/problem_1155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3dcbf370f11b1f24abf90748c739d590aa77ea761b24bd247c26eb44aa0743f9
+size 231254
diff --git a/results/train/ellipse/problem_1156.png b/results/train/ellipse/problem_1156.png
new file mode 100644
index 0000000000000000000000000000000000000000..08f470d6aa1abab1450c29d5886d4fb96b567dfe
--- /dev/null
+++ b/results/train/ellipse/problem_1156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7190ce4fa2cce9598fa3addb317362d0d293bb2a103e03b0b31f67cf242157f
+size 197514
diff --git a/results/train/ellipse/problem_1157.png b/results/train/ellipse/problem_1157.png
new file mode 100644
index 0000000000000000000000000000000000000000..56a40cb5877fcf7350a9a73cb0d17e4d87e3b4b3
--- /dev/null
+++ b/results/train/ellipse/problem_1157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07de105647e316500439cde1d5edbc36089b54ec314e5599a3b6a62347d163cc
+size 219332
diff --git a/results/train/ellipse/problem_1158.png b/results/train/ellipse/problem_1158.png
new file mode 100644
index 0000000000000000000000000000000000000000..9287ab5584daf410cf015783cbb63ad73fb171b9
--- /dev/null
+++ b/results/train/ellipse/problem_1158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:933d03f7efa072d4c8ec22d3ea28c6b59913f2d51d759c2ae4778cdc1258d96c
+size 219952
diff --git a/results/train/ellipse/problem_1159.png b/results/train/ellipse/problem_1159.png
new file mode 100644
index 0000000000000000000000000000000000000000..465f74e429cdc542abb37ff149a278b9aa0157c3
--- /dev/null
+++ b/results/train/ellipse/problem_1159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9dc672ccae54b134ca086b18fd8ef87109f6d3a9b38ef658b43ac0232610f4bc
+size 224555
diff --git a/results/train/ellipse/problem_1161.png b/results/train/ellipse/problem_1161.png
new file mode 100644
index 0000000000000000000000000000000000000000..46ac95ea303629c35ce5679ac2c2ba4035795ff9
--- /dev/null
+++ b/results/train/ellipse/problem_1161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80e149d7992a0217a51612c0ddc479d2748b423a682999b3607d897d5a39b559
+size 228618
diff --git a/results/train/ellipse/problem_1164.png b/results/train/ellipse/problem_1164.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3e9a25c910676a27b93faf7ed3136ce44686d04
--- /dev/null
+++ b/results/train/ellipse/problem_1164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d6463d7dadd016d2834a2f61f4c5722e0a17dca98d96d007a70e0419db0f26
+size 223776
diff --git a/results/train/ellipse/problem_1168.png b/results/train/ellipse/problem_1168.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7f7f1e3ec6116ab1492db218f0a4a04c262cf5f
--- /dev/null
+++ b/results/train/ellipse/problem_1168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63e0ad785f832adcd0d4c146c97e33fb0c9821b8542cc58354ba12e0fe1a09a2
+size 230832
diff --git a/results/train/ellipse/problem_1172.png b/results/train/ellipse/problem_1172.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0f7c9a092c0fff0c5b2396a4a691089d9ffdace
--- /dev/null
+++ b/results/train/ellipse/problem_1172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7302c239196c2a2868a40c04fe78ebf6a031f998e58ef40ac26ed41ae23d061b
+size 234413
diff --git a/results/train/ellipse/problem_1173.png b/results/train/ellipse/problem_1173.png
new file mode 100644
index 0000000000000000000000000000000000000000..20e16249f735e2800c0c88db2e7384a66e179620
--- /dev/null
+++ b/results/train/ellipse/problem_1173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cceee86f76f43817cc123d3c1fb16283223a40014610fcc71e462ef79a3ac9c1
+size 231536
diff --git a/results/train/ellipse/problem_1177.png b/results/train/ellipse/problem_1177.png
new file mode 100644
index 0000000000000000000000000000000000000000..919ef8cf1d884bda6dbadda3250d61331b034ca8
--- /dev/null
+++ b/results/train/ellipse/problem_1177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:642a0dce8c7d7d6979b97b15b7fb3562304273d00391732d4d65421e7323f97d
+size 193820
diff --git a/results/train/ellipse/problem_1189.png b/results/train/ellipse/problem_1189.png
new file mode 100644
index 0000000000000000000000000000000000000000..2139a4da7049ecd81ebd8834d91e18b5fa94b461
--- /dev/null
+++ b/results/train/ellipse/problem_1189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9287eb9f4c2a3cebbda224893bd430a20a4d1333ede5fbadc2b0d21637423853
+size 211224
diff --git a/results/train/ellipse/problem_1196.png b/results/train/ellipse/problem_1196.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb12faa5e9731b8018769a951c9dc1f33be5ba44
--- /dev/null
+++ b/results/train/ellipse/problem_1196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54039a9d317c6526f82fa651aea08ae535d3e298510a116945632ccda8e7af7c
+size 217829
diff --git a/results/train/ellipse/problem_1205.png b/results/train/ellipse/problem_1205.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e08d551f45f41137f79de8774fc95553c240934
--- /dev/null
+++ b/results/train/ellipse/problem_1205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93d4ce9a1754d4702df763b10c73556f1052d9c17aa920fc8a4083d9f145ee84
+size 231002
diff --git a/results/train/ellipse/problem_1208.png b/results/train/ellipse/problem_1208.png
new file mode 100644
index 0000000000000000000000000000000000000000..12b084ad5ace907cd9a99327e19d359dae6b8a0c
--- /dev/null
+++ b/results/train/ellipse/problem_1208.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcbd86e7937f66cb5156d59bd33fec5c1de4ee8dfc1f510fbe24d3688184738b
+size 222120
diff --git a/results/train/ellipse/problem_1211.png b/results/train/ellipse/problem_1211.png
new file mode 100644
index 0000000000000000000000000000000000000000..91e30adb6cfc85baa4655304e7c15d55d87060be
--- /dev/null
+++ b/results/train/ellipse/problem_1211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:185c8cd6dae2687357355ad9eaed9fba0b0f344e29a3f8a73620dee113a7bfef
+size 230073
diff --git a/results/train/ellipse/problem_1218.png b/results/train/ellipse/problem_1218.png
new file mode 100644
index 0000000000000000000000000000000000000000..cebad60e7d609fc12b8a31ef204b94b494f9f606
--- /dev/null
+++ b/results/train/ellipse/problem_1218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79f0c8cf165572f6b066539bbc3566c42602fd77a4c309779997a2048417adaa
+size 215041
diff --git a/results/train/ellipse/problem_1223.png b/results/train/ellipse/problem_1223.png
new file mode 100644
index 0000000000000000000000000000000000000000..06e47542664d527b1df5ec6de6ec4b5ab2e10408
--- /dev/null
+++ b/results/train/ellipse/problem_1223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2044bab185b8845cc830eac5e8a643184da5b302873f062e9ea38873ae14ea24
+size 224084
diff --git a/results/train/ellipse/problem_1224.png b/results/train/ellipse/problem_1224.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a7da12dbe820dca009b40d64406ae699a79a3b3
--- /dev/null
+++ b/results/train/ellipse/problem_1224.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37074feef20efa52e6834caa363986faa50ef0d0952f7d45ee876069be96d8b4
+size 234744
diff --git a/results/train/ellipse/problem_1228.png b/results/train/ellipse/problem_1228.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d3f68c4910ba22eb2678182194519d7c9a6700a
--- /dev/null
+++ b/results/train/ellipse/problem_1228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e12c02496817e7e6d33615c695f3aa02d5cbd72ea12c5ca244e6eae10c13fcf5
+size 230131
diff --git a/results/train/ellipse/problem_1232.png b/results/train/ellipse/problem_1232.png
new file mode 100644
index 0000000000000000000000000000000000000000..97d3ccc6b823f942af75b40d0f78478df5330678
--- /dev/null
+++ b/results/train/ellipse/problem_1232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7a80f586cb2d622fcfb3883d11082e5b67335083ba984f97e1e41a9a8d225f7
+size 231555
diff --git a/results/train/ellipse/problem_1233.png b/results/train/ellipse/problem_1233.png
new file mode 100644
index 0000000000000000000000000000000000000000..05e12f1a76128041c0b73beb2215f645756e7018
--- /dev/null
+++ b/results/train/ellipse/problem_1233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62707db4216daf91d3ff6a5510b3a361016a4dcebb43136492e64332dc13a71e
+size 199712
diff --git a/results/train/ellipse/problem_1236.png b/results/train/ellipse/problem_1236.png
new file mode 100644
index 0000000000000000000000000000000000000000..f089930a2d0f51e0e46bf1fc5c77c8d280f5766e
--- /dev/null
+++ b/results/train/ellipse/problem_1236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef6c4e5e190042341e47a541d1f6fee7c1b22289f875885d66674ed6838801b1
+size 264218
diff --git a/results/train/ellipse/problem_1239.png b/results/train/ellipse/problem_1239.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d04bdd23c741206b852518ec610d507b0f46df3
--- /dev/null
+++ b/results/train/ellipse/problem_1239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b3241d4e8bf116ad50bba0fab60e373a706657fb4ab3e3abe99339852902d75
+size 214261
diff --git a/results/train/ellipse/problem_1249.png b/results/train/ellipse/problem_1249.png
new file mode 100644
index 0000000000000000000000000000000000000000..e27193a2a3dec0f4d164b6ec988219be0de2883c
--- /dev/null
+++ b/results/train/ellipse/problem_1249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa1106ecde6a329cd48153a35c63b504de0b3ce89b894edff1c0f8f19ba68664
+size 191470
diff --git a/results/train/ellipse/problem_1258.png b/results/train/ellipse/problem_1258.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8547489badc603f57573f898cd1601cc5b365a2
--- /dev/null
+++ b/results/train/ellipse/problem_1258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf1eef3e23af10aed13d8812edfa01b5a77f83a358ffab73e09be41e6c11ab4c
+size 234538
diff --git a/results/train/ellipse/problem_1263.png b/results/train/ellipse/problem_1263.png
new file mode 100644
index 0000000000000000000000000000000000000000..b473ebbc886b7adcfc12f21ac309e304ee0f2297
--- /dev/null
+++ b/results/train/ellipse/problem_1263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbc256025e76c8437efb719a9d4d541099d430cd23ec0c34628bc6d0537ab85c
+size 185832
diff --git a/results/train/ellipse/problem_1268.png b/results/train/ellipse/problem_1268.png
new file mode 100644
index 0000000000000000000000000000000000000000..5462d0653ff307c56bfde5764bce22a2e717fb9f
--- /dev/null
+++ b/results/train/ellipse/problem_1268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1aa15fe2d9e540e30b042fa0ec3c7fa54f1f1dddce23b4141ffac0f6ad4e0ab
+size 199290
diff --git a/results/train/ellipse/problem_1270.png b/results/train/ellipse/problem_1270.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa9c87953e61c04065dee0b6ff8267007ce4192f
--- /dev/null
+++ b/results/train/ellipse/problem_1270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99366e1803f1e5bbb7be9086399e0609c70a5098ca56d77d84ea8c572c110f68
+size 232922
diff --git a/results/train/ellipse/problem_1271.png b/results/train/ellipse/problem_1271.png
new file mode 100644
index 0000000000000000000000000000000000000000..05f9cded595ba11cdc7f5dda180c049ccece103c
--- /dev/null
+++ b/results/train/ellipse/problem_1271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bb16abbec9bbccb55c695dfa3da73dbbda128851ec0c1dc6521a36ef46616a1
+size 232127
diff --git a/results/train/ellipse/problem_1274.png b/results/train/ellipse/problem_1274.png
new file mode 100644
index 0000000000000000000000000000000000000000..159c2d4f14c0cf479647b59c3d132ca110776427
--- /dev/null
+++ b/results/train/ellipse/problem_1274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:254a132767de56c6ea1008b7b9d9560c7ef5118886f599afacd14d4ffa4d6eaf
+size 222487
diff --git a/results/train/ellipse/problem_1278.png b/results/train/ellipse/problem_1278.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2559ee99a67604a281ca7ff751e273ba22b6486
--- /dev/null
+++ b/results/train/ellipse/problem_1278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59f117c8c8870cb02301270b76bdc801899ca3e3c42df1bf8c7e615271a76c5a
+size 227743
diff --git a/results/train/ellipse/problem_1288.png b/results/train/ellipse/problem_1288.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1d7eb1e57e3c6cbffc14ebcbbe35e0b19fa4c1a
--- /dev/null
+++ b/results/train/ellipse/problem_1288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa0752b8cdcb26055cc07f5d1a23ae023c39cbfa8bbe392b4d2ce32c9204d03b
+size 229202
diff --git a/results/train/ellipse/problem_1291.png b/results/train/ellipse/problem_1291.png
new file mode 100644
index 0000000000000000000000000000000000000000..97f61c379624c5262018606f86b05507610e3849
--- /dev/null
+++ b/results/train/ellipse/problem_1291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd60e57d03eda6241ae60b0ffc6ceb14f96343434b836767768faf81c51fb4f6
+size 221011
diff --git a/results/train/ellipse/problem_1301.png b/results/train/ellipse/problem_1301.png
new file mode 100644
index 0000000000000000000000000000000000000000..50cdae43ad978b578ed33615eddef6ee4e255b43
--- /dev/null
+++ b/results/train/ellipse/problem_1301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f40becbecef4e39b28c247f280eb887f53ea71e944e53911161bc53202e8b46
+size 228036
diff --git a/results/train/ellipse/problem_1302.png b/results/train/ellipse/problem_1302.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3be2dcb27e138acf6bcb184c72cbe89a6fa757c
--- /dev/null
+++ b/results/train/ellipse/problem_1302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16e05d75445351d16c0bd79e712c78bf059a1642519f47d828c4eb60a28f7a69
+size 219845
diff --git a/results/train/ellipse/problem_1311.png b/results/train/ellipse/problem_1311.png
new file mode 100644
index 0000000000000000000000000000000000000000..10851b4174a8f15de3431b0d9db951b9c768d769
--- /dev/null
+++ b/results/train/ellipse/problem_1311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:861e9a18c91a81bea351b3c15f7d0e08539a9aca4bfa68dcb6796b4be362b662
+size 214623
diff --git a/results/train/ellipse/problem_1312.png b/results/train/ellipse/problem_1312.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d7874e533cc60cd27a0f7c6dd2b666e818ff869
--- /dev/null
+++ b/results/train/ellipse/problem_1312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81763fac30acdc74020a07107fd39888c99332f69efbb976d4464f5d05817edc
+size 233636
diff --git a/results/train/ellipse/problem_1314.png b/results/train/ellipse/problem_1314.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c27459a8627d35df2918b830f0e2e72d08b6b63
--- /dev/null
+++ b/results/train/ellipse/problem_1314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:770c2b8504c8b5903c372c6f705e3e42d59d033b0e1e89aa7bafaab5efe99997
+size 215305
diff --git a/results/train/ellipse/problem_1316.png b/results/train/ellipse/problem_1316.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2aece9d68668e84de9e580c0c17ca2b499dab81
--- /dev/null
+++ b/results/train/ellipse/problem_1316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66cf8759e44b1cbd6873b5f5b1064a93aed9dbdf918bb7d8f26b6672800a89ce
+size 221738
diff --git a/results/train/ellipse/problem_1317.png b/results/train/ellipse/problem_1317.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c7007100d1f0f698cce390939b0f8517d8ddb98
--- /dev/null
+++ b/results/train/ellipse/problem_1317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5596e5615026c58b53e3cbba816e532cab91127c1bc242fcbfe3157800f209c7
+size 221281
diff --git a/results/train/ellipse/problem_1322.png b/results/train/ellipse/problem_1322.png
new file mode 100644
index 0000000000000000000000000000000000000000..b79a76a00b597d94ba855ca644cdb194f11d1f8c
--- /dev/null
+++ b/results/train/ellipse/problem_1322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d60aae96adc00427e81924d3f24cbe8dea1ff3f0c0811ab8f5c56e6e7e771159
+size 221810
diff --git a/results/train/ellipse/problem_1323.png b/results/train/ellipse/problem_1323.png
new file mode 100644
index 0000000000000000000000000000000000000000..67514fdf60badd00abe460571458d6595d065b56
--- /dev/null
+++ b/results/train/ellipse/problem_1323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:520c53eabde5b9b7ecf600e03c7f9154449d3315a16f240a7cc5099fd3faec54
+size 228529
diff --git a/results/train/ellipse/problem_1335.png b/results/train/ellipse/problem_1335.png
new file mode 100644
index 0000000000000000000000000000000000000000..382d12a4bdb23aa2268f09d2b4960bc7ee7df8da
--- /dev/null
+++ b/results/train/ellipse/problem_1335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c084588e5e8e334c1271c877b12957f3fa93320b2c2131918a82146758119f20
+size 212098
diff --git a/results/train/ellipse/problem_1336.png b/results/train/ellipse/problem_1336.png
new file mode 100644
index 0000000000000000000000000000000000000000..f71efe8d199f2939d798645fa8f6f1bb152fbe70
--- /dev/null
+++ b/results/train/ellipse/problem_1336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:899889db1d14ca5f8b57f35b4868e3741d668abdb3df35c7a0325f9eca48c11f
+size 217050
diff --git a/results/train/ellipse/problem_1337.png b/results/train/ellipse/problem_1337.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb5740c816b019fc183d95e8610154a23a24eb54
--- /dev/null
+++ b/results/train/ellipse/problem_1337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2de50c9d94225934ed9eb998cb444adb34c64b84963b4b9f004809033e4641a
+size 195805
diff --git a/results/train/ellipse/problem_1345.png b/results/train/ellipse/problem_1345.png
new file mode 100644
index 0000000000000000000000000000000000000000..30818d16f0668fae5cf337c4d81da9493ffeebe8
--- /dev/null
+++ b/results/train/ellipse/problem_1345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b264269f283c541fac275fcb3f170e84918c31e1515316e80d89ce1d0e442d1
+size 216537
diff --git a/results/train/ellipse/problem_1347.png b/results/train/ellipse/problem_1347.png
new file mode 100644
index 0000000000000000000000000000000000000000..98ec4709eeed9ef0f5db54fec5a4cbb9c0c1b91f
--- /dev/null
+++ b/results/train/ellipse/problem_1347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad96bbd1ee761b3edadd72dab8a5d7ff06b436515a1979e2e7387294b4a8ae8e
+size 210326
diff --git a/results/train/ellipse/problem_1348.png b/results/train/ellipse/problem_1348.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a96f8e78e3400a5e23f0bda2ce85353afd7f413
--- /dev/null
+++ b/results/train/ellipse/problem_1348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d664f0c7a0b4fe8b10cc11381e8a7efd0ef06740a095c060f93bec84b83aa50a
+size 222964
diff --git a/results/train/ellipse/problem_1351.png b/results/train/ellipse/problem_1351.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cee322e575d29c79eb85d36067bdad5a1ea9a40
--- /dev/null
+++ b/results/train/ellipse/problem_1351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b040d198e135a48eef5d6ad2204725c76bb3b4cd2af53c88d82ab766b91073a
+size 210662
diff --git a/results/train/ellipse/problem_1355.png b/results/train/ellipse/problem_1355.png
new file mode 100644
index 0000000000000000000000000000000000000000..929b4132726660de1b261aa7e1112fac12ff6d72
--- /dev/null
+++ b/results/train/ellipse/problem_1355.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb5dacd15672f06c175050af94ab6cf214e54067c2819a1e421a4e029522ade1
+size 222846
diff --git a/results/train/ellipse/problem_1356.png b/results/train/ellipse/problem_1356.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4fbd5fd2c192853e647b7c8121f4bf7ba97e461
--- /dev/null
+++ b/results/train/ellipse/problem_1356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed61887be7492d03f64373e8ea87c6777b9b4b7029ab79cc06cd45e600dc1d99
+size 200392
diff --git a/results/train/ellipse/problem_1362.png b/results/train/ellipse/problem_1362.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e0096386d2605eb2048f4ccda9528581616b70f
--- /dev/null
+++ b/results/train/ellipse/problem_1362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19701a4b11ea90f8e20cc480ee500f677441de7ab67bb967a77995555595e5d3
+size 217895
diff --git a/results/train/ellipse/problem_1367.png b/results/train/ellipse/problem_1367.png
new file mode 100644
index 0000000000000000000000000000000000000000..26ceec6caf2eff42c35013954970d36e63011e86
--- /dev/null
+++ b/results/train/ellipse/problem_1367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37cba47fe6852f2ab75e38f6b0d52a7e83e6531bbe5516dda8eb8b4019dd9dff
+size 234119
diff --git a/results/train/ellipse/problem_1374.png b/results/train/ellipse/problem_1374.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed6318d686bb1f7e04e29029fa96f7100e3579c0
--- /dev/null
+++ b/results/train/ellipse/problem_1374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0239d6da48c3c98416eceb127ebebb56361ee07b76a1cf046a8ef42cddd945b9
+size 240901
diff --git a/results/train/ellipse/problem_1376.png b/results/train/ellipse/problem_1376.png
new file mode 100644
index 0000000000000000000000000000000000000000..615c4e2f7818ce5677b59aca744c1239f93e6a9f
--- /dev/null
+++ b/results/train/ellipse/problem_1376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e0613f4629da2ac39fb755e7eb4b39a02b03339075c61aa725cc1b51962749f
+size 223490
diff --git a/results/train/ellipse/problem_1381.png b/results/train/ellipse/problem_1381.png
new file mode 100644
index 0000000000000000000000000000000000000000..88e8b98f4dc44cdf3e487fae5b72adeb5da2ba6e
--- /dev/null
+++ b/results/train/ellipse/problem_1381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0dfa669544e02eedb459e88a3cf7ae78738dc0fdd5ff2a668838ad4145c2fed
+size 182073
diff --git a/results/train/ellipse/problem_1382.png b/results/train/ellipse/problem_1382.png
new file mode 100644
index 0000000000000000000000000000000000000000..0fd7152fcd72a9988afb0046f23fbf5b65f598b2
--- /dev/null
+++ b/results/train/ellipse/problem_1382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3209495980686218bb8fa7c6f2579824fd85fc44b6e379738f42a0e5a88ecaa8
+size 220099
diff --git a/results/train/ellipse/problem_1383.png b/results/train/ellipse/problem_1383.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d73fe8511e1b0fb9c6174d0d9117a7f16a3e8c1
--- /dev/null
+++ b/results/train/ellipse/problem_1383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3b04d1f604631d71ab56d04682c727e4268ca8eb0fded76fd96e64a420c69e9
+size 221726
diff --git a/results/train/ellipse/problem_1384.png b/results/train/ellipse/problem_1384.png
new file mode 100644
index 0000000000000000000000000000000000000000..1922431d2ee76cb78e588f19b2481e05510d4d2f
--- /dev/null
+++ b/results/train/ellipse/problem_1384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8cddaaaa4bb79c4f64b477ac5d1b979ca08ac6bcc02041167cc858cff66411f7
+size 228546
diff --git a/results/train/ellipse/problem_1389.png b/results/train/ellipse/problem_1389.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d94e80099a327242afe3c77115c983db8bae145
--- /dev/null
+++ b/results/train/ellipse/problem_1389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07dcad00959a6dea239f1fff761d2c2bc0c36ad9dc27370d5f903b3f30191b71
+size 223620
diff --git a/results/train/ellipse/problem_1390.png b/results/train/ellipse/problem_1390.png
new file mode 100644
index 0000000000000000000000000000000000000000..f283c7e01caa5cad6d3673b581bb4ee7af26cf6d
--- /dev/null
+++ b/results/train/ellipse/problem_1390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bdc94bd68bbc530166463968667fc791832f17094a5aa7b4d57afa1c928a2db
+size 236741
diff --git a/results/train/ellipse/problem_1394.png b/results/train/ellipse/problem_1394.png
new file mode 100644
index 0000000000000000000000000000000000000000..280b708b73b92581f76bd065bf119db7c930fa10
--- /dev/null
+++ b/results/train/ellipse/problem_1394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f54c7cb1197507df9006c4e9b5a4311c09492f526251d703bd7fd4fe1c13a746
+size 225749
diff --git a/results/train/ellipse/problem_1403.png b/results/train/ellipse/problem_1403.png
new file mode 100644
index 0000000000000000000000000000000000000000..611a505381f2cad52f1984650d85af3e35ec0daa
--- /dev/null
+++ b/results/train/ellipse/problem_1403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12e3fd9f57e70518e5158ae08976b06214bc328079555f524b5f01035c671e3b
+size 208463
diff --git a/results/train/ellipse/problem_1410.png b/results/train/ellipse/problem_1410.png
new file mode 100644
index 0000000000000000000000000000000000000000..18036e162be1f2ce2d684dbb49421f3ba0780b58
--- /dev/null
+++ b/results/train/ellipse/problem_1410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1fbf7536a77a31ad468bdb4efc4550722875bc12c815b6172d5d4944a68c6c0
+size 224953
diff --git a/results/train/ellipse/problem_1412.png b/results/train/ellipse/problem_1412.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4429cc925359988046e2a2106bc30b73bdcf322
--- /dev/null
+++ b/results/train/ellipse/problem_1412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7191b93a09a55d45cfdee82821efda70bed74ab636f0926d769afd957c23d879
+size 226645
diff --git a/results/train/ellipse/problem_1413.png b/results/train/ellipse/problem_1413.png
new file mode 100644
index 0000000000000000000000000000000000000000..aab6d77c9fd46ba829f181bde7af6d4165840277
--- /dev/null
+++ b/results/train/ellipse/problem_1413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:892af27136620928c0cd1bdd8fa52cb469697e6466224ef6a6bd5a6a641636b7
+size 223487
diff --git a/results/train/ellipse/problem_1414.png b/results/train/ellipse/problem_1414.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1b0421cac7912e19f06670f18c9e9666c78bd1a
--- /dev/null
+++ b/results/train/ellipse/problem_1414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67b8d9b409779ab2ae0ecd06ba3a175517c96327afcdb746bf62ade8b400c305
+size 192905
diff --git a/results/train/ellipse/problem_1423.png b/results/train/ellipse/problem_1423.png
new file mode 100644
index 0000000000000000000000000000000000000000..aaf3f95af5de12f09920203c3bfc1ff4145b15e2
--- /dev/null
+++ b/results/train/ellipse/problem_1423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10424930215253d080fa7577ea62092abd9992446ed28b5917e0f02e0a3d25ae
+size 234205
diff --git a/results/train/ellipse/problem_1425.png b/results/train/ellipse/problem_1425.png
new file mode 100644
index 0000000000000000000000000000000000000000..d14dd21c6441f936f32420144f5e486c741fb85b
--- /dev/null
+++ b/results/train/ellipse/problem_1425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee30b70c6b2de726c55540418eac689e2b03d89dc65cfd75dddeeca1327a9a6c
+size 196496
diff --git a/results/train/ellipse/problem_1432.png b/results/train/ellipse/problem_1432.png
new file mode 100644
index 0000000000000000000000000000000000000000..46ccbc33a6183bc3d825c3047c3ee84045166daa
--- /dev/null
+++ b/results/train/ellipse/problem_1432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c3496f8e21cd0ed77ce5005cf6c0e72ff870f77cfe6f2f970c3c0d4d16d25a7
+size 217586
diff --git a/results/train/ellipse/problem_1436.png b/results/train/ellipse/problem_1436.png
new file mode 100644
index 0000000000000000000000000000000000000000..4464809513f1ac4ac7f5cc5ee009dc73692ad3c3
--- /dev/null
+++ b/results/train/ellipse/problem_1436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3a8dbac5766029956783dc796b43673a42bc8910d2f66bf35ab2e7b8cc2f98d
+size 221849
diff --git a/results/train/ellipse/problem_1441.png b/results/train/ellipse/problem_1441.png
new file mode 100644
index 0000000000000000000000000000000000000000..145cca64d16a803bec14c028980ac5638544edc5
--- /dev/null
+++ b/results/train/ellipse/problem_1441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01e45baf3a102eb3fbac5de95dbb7e0f404bde68dd19dee91dc69dc83b476125
+size 213068
diff --git a/results/train/ellipse/problem_1447.png b/results/train/ellipse/problem_1447.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bc2bcef5ffe8c8ee182ed68850f233914cc50c0
--- /dev/null
+++ b/results/train/ellipse/problem_1447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30ddbd3e2278ec7b60adf99882ba31550fb09b850877a397bf0ab950995be95b
+size 223199
diff --git a/results/train/ellipse/problem_1448.png b/results/train/ellipse/problem_1448.png
new file mode 100644
index 0000000000000000000000000000000000000000..58e4022941fa14d33db7d9d4cd20cbd755f4c9d5
--- /dev/null
+++ b/results/train/ellipse/problem_1448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5c4bfc53c97b5155e0a88fef8ee626afcad8243de90020bb5b1385857043e0a
+size 216425
diff --git a/results/train/ellipse/problem_1449.png b/results/train/ellipse/problem_1449.png
new file mode 100644
index 0000000000000000000000000000000000000000..102cf108bdc45c8faef7c086bead3eaf508001c6
--- /dev/null
+++ b/results/train/ellipse/problem_1449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c23fda2018ce40f18c3a79744204a6abc23c2238a3df86f53159cff75671e55
+size 216193
diff --git a/results/train/ellipse/problem_1451.png b/results/train/ellipse/problem_1451.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e0c4c791b7f242912ea577544e461947687e43d
--- /dev/null
+++ b/results/train/ellipse/problem_1451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:048b5bd0c309b4a1aae797c2fb7e216152654fbda7d076b2a46f9810ff8614b5
+size 203186
diff --git a/results/train/ellipse/problem_1458.png b/results/train/ellipse/problem_1458.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bf2ef83ba2a383697fc23071d5bee78b91c335f
--- /dev/null
+++ b/results/train/ellipse/problem_1458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e037de698b35ecd53c1a518bf78f757e02ca8ba402f2219f0f078f469e799688
+size 234768
diff --git a/results/train/ellipse/problem_1467.png b/results/train/ellipse/problem_1467.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dd7413bf524ad752e5a9e3d4d4f0ae2c2f8024e
--- /dev/null
+++ b/results/train/ellipse/problem_1467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba1c41b31164197c9fee947ad11e75b6b115e8abd72d1124d217a7efeeb6019a
+size 222454
diff --git a/results/train/ellipse/problem_1472.png b/results/train/ellipse/problem_1472.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd4ad20a3e828343230414f9613a33873a96cbbe
--- /dev/null
+++ b/results/train/ellipse/problem_1472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35c79ae0e5fa1da333cb08c9ef40291d83f857f222e243605523e0374eeb04eb
+size 225099
diff --git a/results/train/ellipse/problem_1477.png b/results/train/ellipse/problem_1477.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9adb2c1b93f0e1d9a2aa8138309689da549598b
--- /dev/null
+++ b/results/train/ellipse/problem_1477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:155cc40bb414cbbc9eeefc29e93f08d0c1ac2f73465eb1de666ff3829ad5962b
+size 213653
diff --git a/results/train/ellipse/problem_1481.png b/results/train/ellipse/problem_1481.png
new file mode 100644
index 0000000000000000000000000000000000000000..399dacecf71c6de4fea53eeb4c7e91f1d54e7ce2
--- /dev/null
+++ b/results/train/ellipse/problem_1481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a576132f50191fce401de2e5c7eb70eb0de4b600680ee1fbe95a6ebc1060613
+size 235014
diff --git a/results/train/ellipse/problem_1484.png b/results/train/ellipse/problem_1484.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f37e70e0e682058d8d41c6e8cd62cb64a2c76f5
--- /dev/null
+++ b/results/train/ellipse/problem_1484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d41aa80ed31d6d4eca6591f5fb08b79974984d344cf3da83731528ed016a78a
+size 224527
diff --git a/results/train/ellipse/problem_1487.png b/results/train/ellipse/problem_1487.png
new file mode 100644
index 0000000000000000000000000000000000000000..96dec1a9e6ef50898c476e54cddc699b828dd005
--- /dev/null
+++ b/results/train/ellipse/problem_1487.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1b30fb7448b04da0606501f0e42d10b233ab8d9c5c96742fbf4cd8075e97620
+size 218753
diff --git a/results/train/ellipse/problem_1491.png b/results/train/ellipse/problem_1491.png
new file mode 100644
index 0000000000000000000000000000000000000000..f89a12588c2da88ee0f51821010e62203a9d76b4
--- /dev/null
+++ b/results/train/ellipse/problem_1491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:503658ac52dc1ae4e92fd024b4205479e2df68489d2454c2110604527bbf7294
+size 230062
diff --git a/results/train/ellipse/problem_1499.png b/results/train/ellipse/problem_1499.png
new file mode 100644
index 0000000000000000000000000000000000000000..df9632165644cfb3bf04b32589990174b29267d9
--- /dev/null
+++ b/results/train/ellipse/problem_1499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:462123fb401a2c4bd88d1c1d93572992ed504b6bb47219781c4d594174ed0ee0
+size 226416
diff --git a/results/train/ellipse/problem_1500.png b/results/train/ellipse/problem_1500.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fbd1f9f1515b1665414408b5fa845e7aa7e975f
--- /dev/null
+++ b/results/train/ellipse/problem_1500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e01e839c45f81f28cecebc0c3e0eeb276aef093fb372a7ed68339aae299767b
+size 231465
diff --git a/results/train/ellipse/problem_1502.png b/results/train/ellipse/problem_1502.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a4ad1758f6de96175fa73c6e2e4b2913fa28fe0
--- /dev/null
+++ b/results/train/ellipse/problem_1502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:164da2485416844eba462bc14023133c09a9e3b9891bb9e4d03406f07004a429
+size 223823
diff --git a/results/train/ellipse/problem_1503.png b/results/train/ellipse/problem_1503.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e96f584ff4d4035ab35c7c1e8194eaece7e959b
--- /dev/null
+++ b/results/train/ellipse/problem_1503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:daf1bcd583e1ebf32b6ebf8f7f832a5bbe15ed0dfc359adea6ccd186e4f3d4a1
+size 229051
diff --git a/results/train/ellipse/problem_1507.png b/results/train/ellipse/problem_1507.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8b4692d7aabbd4e87a35f8e83c05e2acfc0f453
--- /dev/null
+++ b/results/train/ellipse/problem_1507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcbc579684a1dcc0a7db431b0e8a17d95a68bd2bcffdf0a4815beccff14e5d95
+size 220076
diff --git a/results/train/ellipse/problem_1508.png b/results/train/ellipse/problem_1508.png
new file mode 100644
index 0000000000000000000000000000000000000000..726d58c88383572ae4b87066dedafa6887d7a4a8
--- /dev/null
+++ b/results/train/ellipse/problem_1508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a21a9a77d1c4a4c2369eeda196b2d02622346d582efcdbe319ff952c4780f1a
+size 210349
diff --git a/results/train/ellipse/problem_1515.png b/results/train/ellipse/problem_1515.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b1c929c824b1bf6b13cdee9123092ccb6789020
--- /dev/null
+++ b/results/train/ellipse/problem_1515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d0072054cc8a5d13bf9e3955f4dd4289ae2c511c04709fb0bf01b1329bf62e6
+size 223543
diff --git a/results/train/ellipse/problem_1521.png b/results/train/ellipse/problem_1521.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8919c4c08cdc880c53157105b3f94e7aa801d40
--- /dev/null
+++ b/results/train/ellipse/problem_1521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9155fdc5d47a34ed4d0b8f41799eef611f73bb5c748626ea1f060d659531246f
+size 236352
diff --git a/results/train/ellipse/problem_1524.png b/results/train/ellipse/problem_1524.png
new file mode 100644
index 0000000000000000000000000000000000000000..26494ec6426b3a3514588d311472d3e90d661087
--- /dev/null
+++ b/results/train/ellipse/problem_1524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:716683b9499f82d43ec0a99d8bc1b10f9a6e50ba3246cf9e2d50843d96edfd1a
+size 230860
diff --git a/results/train/ellipse/problem_1529.png b/results/train/ellipse/problem_1529.png
new file mode 100644
index 0000000000000000000000000000000000000000..df0b5e34b2fef33a33633c6cd858a49f08d109c7
--- /dev/null
+++ b/results/train/ellipse/problem_1529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:744c2ea84d155ae23540dde03a792f8df85ad1e7e2e7d72d4fddbcf15d97da23
+size 226687
diff --git a/results/train/ellipse/problem_1539.png b/results/train/ellipse/problem_1539.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c5545f1c20d8b0c1a0e0d1a03b8343461d28173
--- /dev/null
+++ b/results/train/ellipse/problem_1539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5da3d766635893d28a4cefd71de8e2cc8e4f8269ab98480e66b8baf47c2f9fdc
+size 220184
diff --git a/results/train/ellipse/problem_1540.png b/results/train/ellipse/problem_1540.png
new file mode 100644
index 0000000000000000000000000000000000000000..64055811c58522401297a52afa8fc62abb34ffef
--- /dev/null
+++ b/results/train/ellipse/problem_1540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:035d3c84b031e80277fa031db65a14f0f865f880d614b8cbd220b89678e8f1af
+size 229789
diff --git a/results/train/ellipse/problem_1551.png b/results/train/ellipse/problem_1551.png
new file mode 100644
index 0000000000000000000000000000000000000000..05ae9917bbe0ea6489314ae2c668ab045a670df7
--- /dev/null
+++ b/results/train/ellipse/problem_1551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d30feecde706216bb6dbdf2b649b265c8165bb7dc50e22b3d0753a936a522afc
+size 218133
diff --git a/results/train/ellipse/problem_1556.png b/results/train/ellipse/problem_1556.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d0bc174b1314fd03917dd08050495d740abe032
--- /dev/null
+++ b/results/train/ellipse/problem_1556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2bef0fdaeb56bc5eb6016c7aaa3caf29fc5901432299c0b09cb9473670ed27c
+size 235260
diff --git a/results/train/ellipse/problem_1559.png b/results/train/ellipse/problem_1559.png
new file mode 100644
index 0000000000000000000000000000000000000000..e935d7c20f1b00c1520b3a9112080d93ba8fac34
--- /dev/null
+++ b/results/train/ellipse/problem_1559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1e63c09df15b4d0eee29555a4c5658576e03e7a05004b322ab054cacf12bf77
+size 227123
diff --git a/results/train/ellipse/problem_1569.png b/results/train/ellipse/problem_1569.png
new file mode 100644
index 0000000000000000000000000000000000000000..46e87d24ad280f2a1eadabbb1a9e6c168205f2bf
--- /dev/null
+++ b/results/train/ellipse/problem_1569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:197336567034387c961c46d28158d760a192a8bea5fd3fa69da9e8508745b392
+size 216935
diff --git a/results/train/ellipse/problem_1571.png b/results/train/ellipse/problem_1571.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d3cd057b6b0e334463dfba808db0edf2faa8d65
--- /dev/null
+++ b/results/train/ellipse/problem_1571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:042dc8b5d1e28784063cbf5068edd7f5873003ed1b33fc0944cd4295967e76d6
+size 211440
diff --git a/results/train/ellipse/problem_1572.png b/results/train/ellipse/problem_1572.png
new file mode 100644
index 0000000000000000000000000000000000000000..841f934fef2b37a83cadb268d565ffa74bb18536
--- /dev/null
+++ b/results/train/ellipse/problem_1572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8b9bec8455b64453330da51cd49782d99cdc74ee92f5faaa26860ef7269cc95
+size 206215
diff --git a/results/train/ellipse/problem_1573.png b/results/train/ellipse/problem_1573.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c04506a897ab7eba72fe1b6981243bcf21ed204
--- /dev/null
+++ b/results/train/ellipse/problem_1573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c661e107b10300f229d587d81d5a64c29feb776381c38ace5be8e263fd094119
+size 233654
diff --git a/results/train/ellipse/problem_1574.png b/results/train/ellipse/problem_1574.png
new file mode 100644
index 0000000000000000000000000000000000000000..232e5fc49cc6d0fd44ec560f9510eacc096f8169
--- /dev/null
+++ b/results/train/ellipse/problem_1574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cd1aeaf0cd30abe2c097991a1041c0a84c9c023aaf0a49c0980d4d84c73a389
+size 195812
diff --git a/results/train/ellipse/problem_1575.png b/results/train/ellipse/problem_1575.png
new file mode 100644
index 0000000000000000000000000000000000000000..fabdb01604ad52765449854c89919a1aa77b74bc
--- /dev/null
+++ b/results/train/ellipse/problem_1575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f23ecb9b7af0e928c0a35a493e8053284e9a53796d3ca75570b2745b4fa369b2
+size 227848
diff --git a/results/train/ellipse/problem_1581.png b/results/train/ellipse/problem_1581.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f6ca01453685907b6d87091db9f8eb06afd8229
--- /dev/null
+++ b/results/train/ellipse/problem_1581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bf79ed72d4825e93f7a8b0a1cbc74f4d87547ec5226cae2bcafab40fd3680c6
+size 228189
diff --git a/results/train/ellipse/problem_1591.png b/results/train/ellipse/problem_1591.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c35194c59137b86cec59198336ade848e955a48
--- /dev/null
+++ b/results/train/ellipse/problem_1591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a76f4969565ecd60fa09a89f9ab29af1a666132f61026504ccbd7852ad2b4d8
+size 234136
diff --git a/results/train/ellipse/problem_1595.png b/results/train/ellipse/problem_1595.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffdd5b7e813b8d8a33c5f7cea9024a02749aca84
--- /dev/null
+++ b/results/train/ellipse/problem_1595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4ca7984ba8f753a5faafd861ed85748823f684badb43a03d4bb662ae6eb0799
+size 230139
diff --git a/results/train/ellipse/problem_1597.png b/results/train/ellipse/problem_1597.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb9db098bfa8b0707f4b0ea25a021459b27ae370
--- /dev/null
+++ b/results/train/ellipse/problem_1597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ec482d235cf41cf122c00c66b7784a383c9db552e648f1941ac54518767fc13
+size 225425
diff --git a/results/train/ellipse/problem_1599.png b/results/train/ellipse/problem_1599.png
new file mode 100644
index 0000000000000000000000000000000000000000..c71f7b2bcbc56b0f5cca382615634ddabacad5f3
--- /dev/null
+++ b/results/train/ellipse/problem_1599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46eb3fc5ed9b1aacf5699aeb59b652bacf9b50753313e00970b5d67fa50bae66
+size 215426
diff --git a/results/train/ellipse/problem_1613.png b/results/train/ellipse/problem_1613.png
new file mode 100644
index 0000000000000000000000000000000000000000..06f12f357d93b5c6860886f045749b071fca5809
--- /dev/null
+++ b/results/train/ellipse/problem_1613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f91f676c428430a846e55c43e5ae6302e8e982ecc6d66693838b0e3962e0bf92
+size 214250
diff --git a/results/train/ellipse/problem_1615.png b/results/train/ellipse/problem_1615.png
new file mode 100644
index 0000000000000000000000000000000000000000..59e336a9aebeb197e904f7dbc9f0939c067b2ee4
--- /dev/null
+++ b/results/train/ellipse/problem_1615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fdc70679e4d9c3827aed9712e49020f8408b259c7479e9c0943cf2e616f81f8
+size 223983
diff --git a/results/train/ellipse/problem_1616.png b/results/train/ellipse/problem_1616.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf8aff049102d233652bf9fa6c5e96820fb9f3bc
--- /dev/null
+++ b/results/train/ellipse/problem_1616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fc7626f7ff76437c4bfbec626b2cf161c86d6252d157d8bde2a6693a60e637c
+size 217457
diff --git a/results/train/ellipse/problem_1618.png b/results/train/ellipse/problem_1618.png
new file mode 100644
index 0000000000000000000000000000000000000000..58d30ecfc8706aa56573961655b5093829ae2806
--- /dev/null
+++ b/results/train/ellipse/problem_1618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c84bf5907c724d43c1a55678b0a9665474c99a11d4a02e5c8fac6207404dc83
+size 223652
diff --git a/results/train/ellipse/problem_1622.png b/results/train/ellipse/problem_1622.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f40d82f19e672144ca788e9413cf9a2d807e9fe
--- /dev/null
+++ b/results/train/ellipse/problem_1622.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9b49f770c12ecc5703699cef9e2ccd9793cb9b139c0eecb5256f0cb80166b38
+size 222138
diff --git a/results/train/ellipse/problem_1626.png b/results/train/ellipse/problem_1626.png
new file mode 100644
index 0000000000000000000000000000000000000000..18ef2cb20022abff081a34d3d26cfe9199d1af5f
--- /dev/null
+++ b/results/train/ellipse/problem_1626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:522cc3ee99dde3f1751bb825ffb0fb3bc3461949c12791994ad8d188743f2e00
+size 191124
diff --git a/results/train/ellipse/problem_1628.png b/results/train/ellipse/problem_1628.png
new file mode 100644
index 0000000000000000000000000000000000000000..84abbf8a693c323ecc305b50f087e56daecd80dd
--- /dev/null
+++ b/results/train/ellipse/problem_1628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85fdf5359656bc4828a183ac78ef210ea977fb11c23ee2af66ee5338f94d0679
+size 224383
diff --git a/results/train/ellipse/problem_1633.png b/results/train/ellipse/problem_1633.png
new file mode 100644
index 0000000000000000000000000000000000000000..557e7151553c90f378b0f1a8820776d9e67b60be
--- /dev/null
+++ b/results/train/ellipse/problem_1633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bdb1f5795206be5f286268b4a563dca496fed908e61eb47428374bdbbe1deca
+size 221743
diff --git a/results/train/ellipse/problem_1642.png b/results/train/ellipse/problem_1642.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc49c586145cd41acb90116459445fab4dab949e
--- /dev/null
+++ b/results/train/ellipse/problem_1642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0ee8f48e7b5a477e2c0259fdbcb787075311300c84edecc65cd56f78dc9a7d7
+size 223575
diff --git a/results/train/ellipse/problem_1645.png b/results/train/ellipse/problem_1645.png
new file mode 100644
index 0000000000000000000000000000000000000000..24fcaf1649c96751f40b4fdfa10129a3bd05e697
--- /dev/null
+++ b/results/train/ellipse/problem_1645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:032207c6c4b1e82c3d58ff302c175c525c7f96a977483799cdf0fdcac8d74f8f
+size 186959
diff --git a/results/train/ellipse/problem_1646.png b/results/train/ellipse/problem_1646.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e0adb2408dbc98dff25775549a05c149a605fc1
--- /dev/null
+++ b/results/train/ellipse/problem_1646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1349be5f46e90ceede5688285e07a504ac3cd2aa75cd8df86faf4171d3dab5c2
+size 226711
diff --git a/results/train/ellipse/problem_1653.png b/results/train/ellipse/problem_1653.png
new file mode 100644
index 0000000000000000000000000000000000000000..410077efbb450a4ce31ef7b9a521d29a3af66472
--- /dev/null
+++ b/results/train/ellipse/problem_1653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa9d6cd0dccd516b64f6eaa0dac923de85f60ab1939d0d446e60e12004a2cc4e
+size 229171
diff --git a/results/train/ellipse/problem_1654.png b/results/train/ellipse/problem_1654.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cdfce5289bdd8d8daba35c558eba5d1466d920c
--- /dev/null
+++ b/results/train/ellipse/problem_1654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a36fe82baef61cea1dba0c6168699b351f7a8f58a54bb343ad6effabb84aab49
+size 219415
diff --git a/results/train/ellipse/problem_1659.png b/results/train/ellipse/problem_1659.png
new file mode 100644
index 0000000000000000000000000000000000000000..556a291bdc4a8b0cf3b1886e5dcb4270ace33109
--- /dev/null
+++ b/results/train/ellipse/problem_1659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87eafe81fc3ff1c4808693ca503cc390280923c8f4bc3b482ede4b20f5aa1880
+size 222751
diff --git a/results/train/ellipse/problem_1673.png b/results/train/ellipse/problem_1673.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f390eb23ebfc09f6aaef1861bed50f40925f1b6
--- /dev/null
+++ b/results/train/ellipse/problem_1673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:abc7e2e30e17ab5e5c7b8e9b752f7cfb06966b5f48435d4be8ca42b45259a457
+size 228342
diff --git a/results/train/ellipse/problem_1675.png b/results/train/ellipse/problem_1675.png
new file mode 100644
index 0000000000000000000000000000000000000000..26a8ac1872d43ccb39bd1d823acd1feeaf4d5812
--- /dev/null
+++ b/results/train/ellipse/problem_1675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4261cd168a60d3341807f8da62b6a33e5f989eff9ecdf600d90b0f9c904e7ca
+size 205811
diff --git a/results/train/ellipse/problem_1688.png b/results/train/ellipse/problem_1688.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ec24d294dba49412724ffb1d1140c2301892022
--- /dev/null
+++ b/results/train/ellipse/problem_1688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a498ab919b8ed22dcc510f0d81dd4c285d7e3e2538aa28df67e59a9535739456
+size 226043
diff --git a/results/train/ellipse/problem_1690.png b/results/train/ellipse/problem_1690.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5dd6db5795f5f2f9efd79e11850b0ddec314a38
--- /dev/null
+++ b/results/train/ellipse/problem_1690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d372817ab77fd370873cba4e830a864393cb5d4e3aa17170da6c7d20fe0c1bde
+size 228005
diff --git a/results/train/ellipse/problem_1693.png b/results/train/ellipse/problem_1693.png
new file mode 100644
index 0000000000000000000000000000000000000000..f499c7e8b23f5ee102a9378990c1ad8f986f3034
--- /dev/null
+++ b/results/train/ellipse/problem_1693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39f143be2e5aa48342cc54b050923c79f324d7d0ecca6c452850c8c8ad1de1f0
+size 211326
diff --git a/results/train/ellipse/problem_1696.png b/results/train/ellipse/problem_1696.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c49b90dd46a6c909b13f7a384545227dbf76e35
--- /dev/null
+++ b/results/train/ellipse/problem_1696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7c692bf35b8dd368b89f357b26f071a5043df127a07312075dcfb2b63d956ff
+size 227497
diff --git a/results/train/ellipse/problem_1704.png b/results/train/ellipse/problem_1704.png
new file mode 100644
index 0000000000000000000000000000000000000000..b908841830b6c55fa031e6600e60dfe4c5f4a850
--- /dev/null
+++ b/results/train/ellipse/problem_1704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e539b55e5eb529ac326036be7883fff9b7f73c7fd5c37fa89e9c7f6b6bbfb702
+size 220894
diff --git a/results/train/ellipse/problem_1710.png b/results/train/ellipse/problem_1710.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d95eeca641b0aef556d636cf222f4c5dd718896
--- /dev/null
+++ b/results/train/ellipse/problem_1710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a48e9d71b9e9d4327fb2f58c7c9d4924430192c6a6dadd4720025b007ed655cb
+size 219280
diff --git a/results/train/ellipse/problem_1721.png b/results/train/ellipse/problem_1721.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ef177063d9c42ec56f4654b9033fbb7c140e481
--- /dev/null
+++ b/results/train/ellipse/problem_1721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f7aa0eb56ccaf790a7794cd218f9f39f977a0cf0b4e5cd6d1b583a5ca1aa67a
+size 233706
diff --git a/results/train/ellipse/problem_1724.png b/results/train/ellipse/problem_1724.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbbfdc0426b9dec1e310e1f5f67145d60b8a81b7
--- /dev/null
+++ b/results/train/ellipse/problem_1724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c473fe8f6c24d620f2647a691932f9ebbf61a4e8b0b49ec65d953b21918f323c
+size 223648
diff --git a/results/train/ellipse/problem_1727.png b/results/train/ellipse/problem_1727.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c053441e1dd84512c6b5a6a3d652b371e8cbe04
--- /dev/null
+++ b/results/train/ellipse/problem_1727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e820809a2ff1241e9c3dc4ec0535f61dab5a1652800aad5be65d587ff1d0028
+size 220143
diff --git a/results/train/ellipse/problem_1741.png b/results/train/ellipse/problem_1741.png
new file mode 100644
index 0000000000000000000000000000000000000000..c93adf3673f68d7a5a9f17adcab339da6b1c6b9c
--- /dev/null
+++ b/results/train/ellipse/problem_1741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d99e042f913242d9e077b4b4ef70f97e378ad4efea56715fb9b36316c6ec31ec
+size 218585
diff --git a/results/train/ellipse/problem_1742.png b/results/train/ellipse/problem_1742.png
new file mode 100644
index 0000000000000000000000000000000000000000..73df64e9039a8f0a2ba6a9baaa32715be34a6a7c
--- /dev/null
+++ b/results/train/ellipse/problem_1742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c585df255994e760aea030cee29d830119d1ff744e1bd5f52fa3f817bc7a121
+size 228502
diff --git a/results/train/ellipse/problem_1744.png b/results/train/ellipse/problem_1744.png
new file mode 100644
index 0000000000000000000000000000000000000000..47d6ed0ccd3338abb420f5bcb334532b0e6bfc1d
--- /dev/null
+++ b/results/train/ellipse/problem_1744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e4548e1cbd7cebb12828a47676b812bc5f9486e0fa0590ad10e3629c2e4e848
+size 244453
diff --git a/results/train/ellipse/problem_1752.png b/results/train/ellipse/problem_1752.png
new file mode 100644
index 0000000000000000000000000000000000000000..27424470a7f3c565863b4e3fb55efc7f97173b99
--- /dev/null
+++ b/results/train/ellipse/problem_1752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87437a5eb9393e8143ce50ff2da970b8faead03607f50e74fd0244eb18d41bd4
+size 226739
diff --git a/results/train/ellipse/problem_1759.png b/results/train/ellipse/problem_1759.png
new file mode 100644
index 0000000000000000000000000000000000000000..4183c0d73bec9d3d0c6e4f9f471be5bdf2bf2bdf
--- /dev/null
+++ b/results/train/ellipse/problem_1759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62cbc1404c0f2cd9e8c2662850ad78da8d55c4135c0b6767a2448b2b44660b39
+size 183911
diff --git a/results/train/ellipse/problem_1760.png b/results/train/ellipse/problem_1760.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f33e009854a7af1f39ec392bbe6aaeebb70a161
--- /dev/null
+++ b/results/train/ellipse/problem_1760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d656a024017385cc4df7cdc34e3a5b503c95450dad7d5a5ef2f8e934f99ba23
+size 228051
diff --git a/results/train/ellipse/problem_1762.png b/results/train/ellipse/problem_1762.png
new file mode 100644
index 0000000000000000000000000000000000000000..38d0fee9d7db84892e6729b9c89cebf2ea1872cf
--- /dev/null
+++ b/results/train/ellipse/problem_1762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f18a913f7ac6a313d1b550b12d5343fe6fecdf538ad13d2fcc97b8de3bc36cbb
+size 224554
diff --git a/results/train/ellipse/problem_1768.png b/results/train/ellipse/problem_1768.png
new file mode 100644
index 0000000000000000000000000000000000000000..906632be6396064da6db16cab4bf93f1b6f9b400
--- /dev/null
+++ b/results/train/ellipse/problem_1768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43e89807fd93349c988c18e93ed866047673649361e864a25c975fda20c67bf8
+size 222898
diff --git a/results/train/ellipse/problem_1775.png b/results/train/ellipse/problem_1775.png
new file mode 100644
index 0000000000000000000000000000000000000000..848a8c1c6413f9f78ea3c98b2449fc7289dc75ea
--- /dev/null
+++ b/results/train/ellipse/problem_1775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed11b68cb2b7d000990b3ce122efb72e08e5ca8c2eb2fdcd95214695133c5a5e
+size 198705
diff --git a/results/train/ellipse/problem_1778.png b/results/train/ellipse/problem_1778.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b0df7d1c03b9f9433715423e9634f5f6448e91e
--- /dev/null
+++ b/results/train/ellipse/problem_1778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da1b1cbe8e5b589a10beeca2a71f628169717bcfc91351c96c112876edaa3c2f
+size 221218
diff --git a/results/train/ellipse/problem_1781.png b/results/train/ellipse/problem_1781.png
new file mode 100644
index 0000000000000000000000000000000000000000..268dde525c18ff19ee7eaa33684a0804eed0a6e1
--- /dev/null
+++ b/results/train/ellipse/problem_1781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:647e618d0c0eb04b9caec0c46fcfbd07d952bc0dc2b26d0a928dd87f91679888
+size 213903
diff --git a/results/train/ellipse/problem_1788.png b/results/train/ellipse/problem_1788.png
new file mode 100644
index 0000000000000000000000000000000000000000..6605f56b54a0bc7943cfba2706f3c8aeb649c488
--- /dev/null
+++ b/results/train/ellipse/problem_1788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee465b67ba6555e31887739fd4ad9913258b3e4eae858ff5e6a67bb56f4b49cf
+size 227212
diff --git a/results/train/ellipse/problem_1789.png b/results/train/ellipse/problem_1789.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c2b3a03845fb6e3008d33b2eec948333d30c812
--- /dev/null
+++ b/results/train/ellipse/problem_1789.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72043d2c629dfa1e402e246bd606a225bd0d207a484a3ca0dfa98c3405f640d3
+size 216691
diff --git a/results/train/ellipse/problem_1794.png b/results/train/ellipse/problem_1794.png
new file mode 100644
index 0000000000000000000000000000000000000000..34c2d0b215b5655c6ab94fc8a257faecf055c6e8
--- /dev/null
+++ b/results/train/ellipse/problem_1794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7838706aca9758d5c2a06802cb20cefb50a4682118579d1daf24ac53c4ff3d42
+size 235505
diff --git a/results/train/ellipse/problem_1798.png b/results/train/ellipse/problem_1798.png
new file mode 100644
index 0000000000000000000000000000000000000000..6147636c4b45f95b80452fa75e0ab3746ab9834f
--- /dev/null
+++ b/results/train/ellipse/problem_1798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5df9aa74dbd7f5ab8429fdc9cc1f8a4eb81d2a244035bc3cea404e265d1c16d2
+size 215996
diff --git a/results/train/ellipse/problem_1803.png b/results/train/ellipse/problem_1803.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e17e1844d2ef913b9a7a41903de1ccc4f02249b
--- /dev/null
+++ b/results/train/ellipse/problem_1803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38fc720862f457082922afac243e95cf14db1938f3c9551c8241049b07aa8439
+size 196906
diff --git a/results/train/ellipse/problem_1810.png b/results/train/ellipse/problem_1810.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecb37d956639cb999929dccf199c569c5fa131bd
--- /dev/null
+++ b/results/train/ellipse/problem_1810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0d05415237ed63f50ecaa2ae0837b96fa7b52a13d87893af0c08dc1553c508f
+size 209182
diff --git a/results/train/ellipse/problem_1812.png b/results/train/ellipse/problem_1812.png
new file mode 100644
index 0000000000000000000000000000000000000000..c19fb24decc9961ed03770b639c61ee8cbe7dc3e
--- /dev/null
+++ b/results/train/ellipse/problem_1812.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01bd2791c5c1be680a80af1b6e2edb496780bdac1c64fc2c1270169fb3027262
+size 214016
diff --git a/results/train/ellipse/problem_1815.png b/results/train/ellipse/problem_1815.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e89985d4d3ae954af2d33e66fe4d3d4e1cc411f
--- /dev/null
+++ b/results/train/ellipse/problem_1815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14c15a98d554fec026715b7e5a5511aaa15fb30cbb2792611ad4094812e10d61
+size 230804
diff --git a/results/train/ellipse/problem_1816.png b/results/train/ellipse/problem_1816.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc9c69073ac0e4ec0157e5fbdc0e40a326055da4
--- /dev/null
+++ b/results/train/ellipse/problem_1816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a703fd530c329da951a40049c8ee0bce91f101759466759530d1c31a53332fd8
+size 217068
diff --git a/results/train/ellipse/problem_1817.png b/results/train/ellipse/problem_1817.png
new file mode 100644
index 0000000000000000000000000000000000000000..041956bdd8983d24c05e4f3f162555ed95357317
--- /dev/null
+++ b/results/train/ellipse/problem_1817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0791c75503c134175babda8c1a9b203ba69bc641664bc2bb9e9406fc9cdeb067
+size 233147
diff --git a/results/train/ellipse/problem_1819.png b/results/train/ellipse/problem_1819.png
new file mode 100644
index 0000000000000000000000000000000000000000..2455bd252589b053fb8eca61e82dfd002f70993e
--- /dev/null
+++ b/results/train/ellipse/problem_1819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81ee4b93ff85ad5e7bfd1846360b2908b6143a96b5c80e1546941aa3ed0ebf85
+size 198100
diff --git a/results/train/ellipse/problem_1831.png b/results/train/ellipse/problem_1831.png
new file mode 100644
index 0000000000000000000000000000000000000000..a42ca3926b2ba31ab9037a75bf53f006ab57fa45
--- /dev/null
+++ b/results/train/ellipse/problem_1831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5719215ec7edbcbb575b223e8d5c012b7e39fe1e90d290210a18511f38fab9d
+size 226425
diff --git a/results/train/ellipse/problem_1843.png b/results/train/ellipse/problem_1843.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ccb37ddc3371eb1676ff01f3f2b990031158839
--- /dev/null
+++ b/results/train/ellipse/problem_1843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12f6edae4ad5ccdd3433798c97937dc33d2892bd3babc5bd2a459d26c46f51ce
+size 232775
diff --git a/results/train/ellipse/problem_1846.png b/results/train/ellipse/problem_1846.png
new file mode 100644
index 0000000000000000000000000000000000000000..69cb3968eec8e71ba781f0bb5fa0af109ca0d876
--- /dev/null
+++ b/results/train/ellipse/problem_1846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71a8da6a20e8fcc9c0cac7ab9c926a898c99ae0c435d6a66768c0920ff9b7e1b
+size 222578
diff --git a/results/train/ellipse/problem_1849.png b/results/train/ellipse/problem_1849.png
new file mode 100644
index 0000000000000000000000000000000000000000..a862125b5ff0fd724d973a4bf00e13f39ab68ede
--- /dev/null
+++ b/results/train/ellipse/problem_1849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4606af53748d542b69f3ba92abfb842e867ad3bf9d481bdbb6ce7f5d16deed2
+size 214121
diff --git a/results/train/ellipse/problem_1851.png b/results/train/ellipse/problem_1851.png
new file mode 100644
index 0000000000000000000000000000000000000000..891120c94c0b3a5597ed40ea81d2e9f34b07233a
--- /dev/null
+++ b/results/train/ellipse/problem_1851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4a32a5cf8d78d00e93dab9a8098b26bfe36db95b8629bf1af4ee66e4c7dbf60
+size 212560
diff --git a/results/train/ellipse/problem_1858.png b/results/train/ellipse/problem_1858.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d22b214016df8e169593bce80d73d17587a377f
--- /dev/null
+++ b/results/train/ellipse/problem_1858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d7ac1a8707949505ebc997344bf29f566146d9736264e5bca7502c6015ee08a
+size 244244
diff --git a/results/train/ellipse/problem_1861.png b/results/train/ellipse/problem_1861.png
new file mode 100644
index 0000000000000000000000000000000000000000..c59df9e7b5fbbc7c28ea28941a3bc2f2c8c6995b
--- /dev/null
+++ b/results/train/ellipse/problem_1861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bbd9b2d79d7a7ac0a201ed0562db82c128a325912377444f896b120a0128c1d
+size 233711
diff --git a/results/train/ellipse/problem_1874.png b/results/train/ellipse/problem_1874.png
new file mode 100644
index 0000000000000000000000000000000000000000..45da11c5af68ce5453eb8263ee58862958895886
--- /dev/null
+++ b/results/train/ellipse/problem_1874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35c01f38cd046b709c835ea0e0b4ddb33eef9b9c8ee90c9157fd13a878ff9e61
+size 253869
diff --git a/results/train/ellipse/problem_1876.png b/results/train/ellipse/problem_1876.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d84f1d1f7c5a281d2f76ee670fef8787264f868
--- /dev/null
+++ b/results/train/ellipse/problem_1876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45af97963dfccbbf6225f57f3b825dba2d35fb751f269efaa1f1837fe499f97d
+size 225950
diff --git a/results/train/ellipse/problem_1878.png b/results/train/ellipse/problem_1878.png
new file mode 100644
index 0000000000000000000000000000000000000000..752fb8cc34729005a99d7edb7deebaf8fe89bd4c
--- /dev/null
+++ b/results/train/ellipse/problem_1878.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:535dc45439c910b5cc442fb553e4e9f811d5dd8042bd3389bf79822f68de438b
+size 222634
diff --git a/results/train/ellipse/problem_1883.png b/results/train/ellipse/problem_1883.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6667c8810f057c273c6ef2ee0ce2face6b7285c
--- /dev/null
+++ b/results/train/ellipse/problem_1883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3038fa299317ebc9b8b059efd3551c269d075902e99b86922ebc08fdaccbfe5c
+size 231123
diff --git a/results/train/ellipse/problem_1886.png b/results/train/ellipse/problem_1886.png
new file mode 100644
index 0000000000000000000000000000000000000000..29417cd17b1462e3de31e7f681dc2c44714796fa
--- /dev/null
+++ b/results/train/ellipse/problem_1886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec78c3f79a3444d85795d012dc05e68ad3dd6d9560da32884d69cf98afd6dace
+size 213404
diff --git a/results/train/ellipse/problem_1896.png b/results/train/ellipse/problem_1896.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c19c25aaabe2228132619875e888210e21d301f
--- /dev/null
+++ b/results/train/ellipse/problem_1896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:141689536b435deaddd500fb84a9e9ca0d32a454cc312a0bdd002542ee7488ed
+size 235179
diff --git a/results/train/ellipse/problem_1897.png b/results/train/ellipse/problem_1897.png
new file mode 100644
index 0000000000000000000000000000000000000000..cafff0ed81943088c65df99fef3440f201de9409
--- /dev/null
+++ b/results/train/ellipse/problem_1897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6519fe6705c8f834fac82949e3e39624f2842eb65393428e9a8341de19c60b63
+size 231346
diff --git a/results/train/ellipse/problem_1903.png b/results/train/ellipse/problem_1903.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cea2788864949c8d23c0f870f9bf6a30542e01a
--- /dev/null
+++ b/results/train/ellipse/problem_1903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fca480b73130619bc7020dfee9e18b22134ed648e7e07925e817dbc612c3530
+size 232967
diff --git a/results/train/ellipse/problem_1912.png b/results/train/ellipse/problem_1912.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1cadb75b43c3b3b702c461145c3909430d52313
--- /dev/null
+++ b/results/train/ellipse/problem_1912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ff634b4dba58542708d7f4c1d085f2f5126c172a01568eefb18fc36e289398d
+size 230770
diff --git a/results/train/ellipse/problem_1913.png b/results/train/ellipse/problem_1913.png
new file mode 100644
index 0000000000000000000000000000000000000000..b674e93c19c039e256ccdac8ca4e9d5d39fe5a2d
--- /dev/null
+++ b/results/train/ellipse/problem_1913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4d9fdc1e55b3188ba6929425bba972e0cd5149053225e8164487a9981d0a580
+size 183891
diff --git a/results/train/ellipse/problem_1915.png b/results/train/ellipse/problem_1915.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a93a4e28e0dcd539bfc31a692a108b3328558cf
--- /dev/null
+++ b/results/train/ellipse/problem_1915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f20746607e210b7bda1baae38b0929e4e753c7179d11fc358bb0c2456794d22
+size 233438
diff --git a/results/train/ellipse/problem_1922.png b/results/train/ellipse/problem_1922.png
new file mode 100644
index 0000000000000000000000000000000000000000..349a4de2c76149bda7370b8f98b993b0ede5a0aa
--- /dev/null
+++ b/results/train/ellipse/problem_1922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7365ce5910bea5d860dccf6f9a350bfb280cbae6edc3d879c893a237284f0fe
+size 239065
diff --git a/results/train/ellipse/problem_1925.png b/results/train/ellipse/problem_1925.png
new file mode 100644
index 0000000000000000000000000000000000000000..248a6acb3f292c8400e2c1b0c0ab1b480904b32f
--- /dev/null
+++ b/results/train/ellipse/problem_1925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5624b5b91e289b5ef0ea87cfc4d7bad22b12109aa95113fbc6659702aae59d55
+size 239114
diff --git a/results/train/ellipse/problem_1928.png b/results/train/ellipse/problem_1928.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee0f483a05262112b2ca1121df5b190e80d7ff95
--- /dev/null
+++ b/results/train/ellipse/problem_1928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:181948ab6efc96ca044a21fcac307c17b3572458fc46814667142473e5c3da0e
+size 229321
diff --git a/results/train/ellipse/problem_1929.png b/results/train/ellipse/problem_1929.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a1f59b9a786093aec760d37e839774a986f5aea
--- /dev/null
+++ b/results/train/ellipse/problem_1929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9c511e80c1068ef0e5034b470f2a4210b2454235fabc974c8d2dfe5efedd4da
+size 226221
diff --git a/results/train/ellipse/problem_1930.png b/results/train/ellipse/problem_1930.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8d33ffcf2b9ddb744ad5161e9d05fc5c0ce8bc3
--- /dev/null
+++ b/results/train/ellipse/problem_1930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:752cca772c27b0798756ccc9f99ef28bfa1ad3150a474338f3f1b5daa5671ed6
+size 220531
diff --git a/results/train/ellipse/problem_1936.png b/results/train/ellipse/problem_1936.png
new file mode 100644
index 0000000000000000000000000000000000000000..603952dd94117387b603bb25d9b3946cf4ef224a
--- /dev/null
+++ b/results/train/ellipse/problem_1936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:580add9085de2a87a1bfade50c9f6eb6c93bd59407539e62da5ae5048880b0bb
+size 222639
diff --git a/results/train/ellipse/problem_1937.png b/results/train/ellipse/problem_1937.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ceba490c884e836567e0ceae09725e361c3cffb
--- /dev/null
+++ b/results/train/ellipse/problem_1937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69df440036004d7464703183609ecc37e6c47f09529651722600f46a9ebde6ad
+size 207058
diff --git a/results/train/ellipse/problem_1941.png b/results/train/ellipse/problem_1941.png
new file mode 100644
index 0000000000000000000000000000000000000000..60750abe01e5de7ca2a1aa6ea9700701e29b29fb
--- /dev/null
+++ b/results/train/ellipse/problem_1941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:113100cbef4b12dfb859898cc3a38c5c5679177d645989a30356b1e7ba9c0d0b
+size 236414
diff --git a/results/train/ellipse/problem_1942.png b/results/train/ellipse/problem_1942.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7864a81daa5a4c48843eec2ce7bddcbeb530ec1
--- /dev/null
+++ b/results/train/ellipse/problem_1942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa584c539701839067f3919e9d49813f0aab887575baabe5808e6d10fbff1003
+size 214399
diff --git a/results/train/ellipse/problem_1949.png b/results/train/ellipse/problem_1949.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ec8e6a1f8dc374777358fbe6c08920a3fbcc8ea
--- /dev/null
+++ b/results/train/ellipse/problem_1949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:001f2ab636306f4392260a68cd0c2adaed129ef2816245a7086697f488cd4576
+size 223119
diff --git a/results/train/ellipse/problem_1951.png b/results/train/ellipse/problem_1951.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b1dac5031c2f81881b13756989d2f42b721b010
--- /dev/null
+++ b/results/train/ellipse/problem_1951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac26dee4a7e3ea78ec92053fdff7b2e427f3ac3a3e09db4d0b72577e11bd595d
+size 235371
diff --git a/results/train/ellipse/problem_1954.png b/results/train/ellipse/problem_1954.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2dc0192422eb66f2108eb312f4b858b2246c2b2
--- /dev/null
+++ b/results/train/ellipse/problem_1954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47f2aa75f9eef34b3f054db588b058884489d717ef1540ab8611bf18dce19388
+size 220741
diff --git a/results/train/ellipse/problem_1963.png b/results/train/ellipse/problem_1963.png
new file mode 100644
index 0000000000000000000000000000000000000000..02ce05fe1e48349c26763ab04be67b5eb26c91e3
--- /dev/null
+++ b/results/train/ellipse/problem_1963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3f3a2d7d466a4e0b5002526c59936b279dc680e13406aef532dc8dd9c79120c
+size 232485
diff --git a/results/train/ellipse/problem_1973.png b/results/train/ellipse/problem_1973.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0c7edc358be4a7f03d57e7301d892d7c2ecaf82
--- /dev/null
+++ b/results/train/ellipse/problem_1973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2469bd6cdefbd8fa0157fc823491ec7506451879a3004312e26b4d387380355d
+size 238539
diff --git a/results/train/ellipse/problem_1974.png b/results/train/ellipse/problem_1974.png
new file mode 100644
index 0000000000000000000000000000000000000000..baefd42aa2915968f4400fd9f9933aaef6e203d2
--- /dev/null
+++ b/results/train/ellipse/problem_1974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33220e5182618b76afe1342d85658469613c48a1d404a84d9aab9335537e29a5
+size 232419
diff --git a/results/train/ellipse/problem_1982.png b/results/train/ellipse/problem_1982.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b7e09b3d2f05ab11ea35601466345cbffadc115
--- /dev/null
+++ b/results/train/ellipse/problem_1982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9647d00cac8421555ce8b7ffefc8c99ecea2fa9a051c7c290d220a431673155e
+size 217161
diff --git a/results/train/ellipse/problem_1985.png b/results/train/ellipse/problem_1985.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3dbaf3eb818e8a1b679b2e925980167412f3228
--- /dev/null
+++ b/results/train/ellipse/problem_1985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d2298a281769f568d936b974ef52e81deb1c26bb5876facd2ba9f17a5ba28f5
+size 237718
diff --git a/results/train/ellipse/problem_1997.png b/results/train/ellipse/problem_1997.png
new file mode 100644
index 0000000000000000000000000000000000000000..714d6868baa17519c721b6437e4fc2bd6ef8b1a4
--- /dev/null
+++ b/results/train/ellipse/problem_1997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9920733e1aa049453f7a1707773d7ab9c93a82c009ca4b6b0537460b51297563
+size 224929
diff --git a/results/train/ellipse/problem_2000.png b/results/train/ellipse/problem_2000.png
new file mode 100644
index 0000000000000000000000000000000000000000..214f35670a6409e6a5938369b567f1bfa4128e7e
--- /dev/null
+++ b/results/train/ellipse/problem_2000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e39d5eccee644cfa42a05df003f997eeb4ff5f7c9b872d4880d172df6b8b05c
+size 213767
diff --git a/results/train/ellipse/problem_2005.png b/results/train/ellipse/problem_2005.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bca55cc6aae33843f689e756224a4fffeb2f27f
--- /dev/null
+++ b/results/train/ellipse/problem_2005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea7dafeca71a148721990e45b4036ec3d9a2a00b3bded4fad0c48d601448a513
+size 236154
diff --git a/results/train/ellipse/problem_2010.png b/results/train/ellipse/problem_2010.png
new file mode 100644
index 0000000000000000000000000000000000000000..dadaf3ee144faa875324e0541b493c83d257b076
--- /dev/null
+++ b/results/train/ellipse/problem_2010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a15017285657ffca75b63e8c37ca4d78193d16be8384b36e5e13746970813cbd
+size 237231
diff --git a/results/train/ellipse/problem_2013.png b/results/train/ellipse/problem_2013.png
new file mode 100644
index 0000000000000000000000000000000000000000..31b5089c40dbaa06b9488f6e1c857c438fdf9511
--- /dev/null
+++ b/results/train/ellipse/problem_2013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24fb984c6b8acfe34cd28955f4d788dc40c98fb6f00755418525ce93618db869
+size 216695
diff --git a/results/train/ellipse/problem_2014.png b/results/train/ellipse/problem_2014.png
new file mode 100644
index 0000000000000000000000000000000000000000..d62ae4e5f93cd34e3044eefefd3edeedb78cd32e
--- /dev/null
+++ b/results/train/ellipse/problem_2014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:611e8e9cf3618de8f82f1c1b8b55f19421186d079f6d38d230bab0182a78fe62
+size 222901
diff --git a/results/train/ellipse/problem_2015.png b/results/train/ellipse/problem_2015.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a3a7a072955d3652964e4793cfbc0a0b83b0c53
--- /dev/null
+++ b/results/train/ellipse/problem_2015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9f8d49013948cb7be7f8e47a3a055eddd01a584cd77dc8942f6ec1a7043a7d5
+size 239217
diff --git a/results/train/ellipse/problem_2017.png b/results/train/ellipse/problem_2017.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f26a6adfce2be15211cb0478493f8db337f3c5a
--- /dev/null
+++ b/results/train/ellipse/problem_2017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c55bcbcf8338a1f78772c527c58723c345ebc996f814f72f6871c5874792b44d
+size 188930
diff --git a/results/train/ellipse/problem_2021.png b/results/train/ellipse/problem_2021.png
new file mode 100644
index 0000000000000000000000000000000000000000..210968238b7ab668445c709f12a28f91a46a87d9
--- /dev/null
+++ b/results/train/ellipse/problem_2021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f337307e7e77aa4757028f454618a918c2f4c17b78797a3635d76db26c32d876
+size 225568
diff --git a/results/train/ellipse/problem_2033.png b/results/train/ellipse/problem_2033.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8bd7e37613589a89d8e960efe50e7ca1e141cec
--- /dev/null
+++ b/results/train/ellipse/problem_2033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d886216e938e4fd4584c012d493c8cd8931d2b736e8136de68b5d95346fb884
+size 234917
diff --git a/results/train/ellipse/problem_2034.png b/results/train/ellipse/problem_2034.png
new file mode 100644
index 0000000000000000000000000000000000000000..986c7259a3b984b01763fa64f7253db93337f477
--- /dev/null
+++ b/results/train/ellipse/problem_2034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9aa4e564b5193b9dcf2398bce51d5783af8c3edaa90ba1d17dd5fdca5c20be9d
+size 229123
diff --git a/results/train/ellipse/problem_2036.png b/results/train/ellipse/problem_2036.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e35407061071254461c51751ce07e498dc40b1a
--- /dev/null
+++ b/results/train/ellipse/problem_2036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0675bdbeff22177d17225ba1e87c8fffbd43f3855114c9be0b263783ef8f2bea
+size 222370
diff --git a/results/train/ellipse/problem_2040.png b/results/train/ellipse/problem_2040.png
new file mode 100644
index 0000000000000000000000000000000000000000..0def9f8971a021c8260c95c6c35318d87e1e3a16
--- /dev/null
+++ b/results/train/ellipse/problem_2040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad601f95624b067a1eca38389fc69eebad0b1c735ab7b28e7dd544bb7f8bddc9
+size 208369
diff --git a/results/train/ellipse/problem_2043.png b/results/train/ellipse/problem_2043.png
new file mode 100644
index 0000000000000000000000000000000000000000..e46c7bf8f78e4a765c1fb0a092e5fbf17ac24ffd
--- /dev/null
+++ b/results/train/ellipse/problem_2043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:481b9d63e2c1c3f73172a861262db9dfea533441a2468a4f618cad04d3ec21fb
+size 228285
diff --git a/results/train/ellipse/problem_2047.png b/results/train/ellipse/problem_2047.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ed630f3046a26252ae06313b67dc996a69478c7
--- /dev/null
+++ b/results/train/ellipse/problem_2047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0fc0b2eaabf4a2e1cefe57cd2d3c2de7cca2b98aec3a2c86a8f9bdb52ee4254
+size 216350
diff --git a/results/train/ellipse/problem_2064.png b/results/train/ellipse/problem_2064.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d4c92f46b0d6a2f9b401e75666df7ee534608ac
--- /dev/null
+++ b/results/train/ellipse/problem_2064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8f20ac9278ada9d3ed821124c4fa334f9d870b3612f8bd8c1d0db18f56413a1
+size 217935
diff --git a/results/train/ellipse/problem_2070.png b/results/train/ellipse/problem_2070.png
new file mode 100644
index 0000000000000000000000000000000000000000..90b774740808ef6de5bbbfb58881c98d2f8f59e3
--- /dev/null
+++ b/results/train/ellipse/problem_2070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e15dc0bbbf55e6fad01277f8b3efdf7bc2a80d1126be22062d170cfa9299d8db
+size 210743
diff --git a/results/train/ellipse/problem_2077.png b/results/train/ellipse/problem_2077.png
new file mode 100644
index 0000000000000000000000000000000000000000..85eb0b210f381186c6b6b32b974bfd72bfbd0814
--- /dev/null
+++ b/results/train/ellipse/problem_2077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6005f89f4d21114d155bddf4bc2f40ecd9aa7c397716f04e0600c07bb96867cd
+size 184796
diff --git a/results/train/ellipse/problem_2079.png b/results/train/ellipse/problem_2079.png
new file mode 100644
index 0000000000000000000000000000000000000000..96135d3473d4a0d989058dedf2d8d7c050a2ca4a
--- /dev/null
+++ b/results/train/ellipse/problem_2079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2951cd66f5797ebc9dfb912ee09a36efcea37e1ae54b93da6affdbb5130b3d6c
+size 227696
diff --git a/results/train/ellipse/problem_2084.png b/results/train/ellipse/problem_2084.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e717e762f9852d28440a5f126e2e33e330c281e
--- /dev/null
+++ b/results/train/ellipse/problem_2084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b96dfb5d17a2c49dbb07b855d9865f105fd738748184add9993c92a0ec43ff51
+size 223154
diff --git a/results/train/ellipse/problem_2101.png b/results/train/ellipse/problem_2101.png
new file mode 100644
index 0000000000000000000000000000000000000000..05b1b43110bda85f7b268985266fb78a4752a0ca
--- /dev/null
+++ b/results/train/ellipse/problem_2101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e513da9035ca45db556a22286c101e629889b9707dfdf87c667d04710e6cd63c
+size 231980
diff --git a/results/train/ellipse/problem_2102.png b/results/train/ellipse/problem_2102.png
new file mode 100644
index 0000000000000000000000000000000000000000..f731f390f73021ed6aaf4cecf6c155608d6091be
--- /dev/null
+++ b/results/train/ellipse/problem_2102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b2965a8e4dc24ac1429a8ab3732e267cd78d5026350eb3613351a35f66d42ca
+size 222218
diff --git a/results/train/ellipse/problem_2104.png b/results/train/ellipse/problem_2104.png
new file mode 100644
index 0000000000000000000000000000000000000000..88d075c673bfaeebddf6f7ff96e968d99482dc3c
--- /dev/null
+++ b/results/train/ellipse/problem_2104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35a5e736d835c98e6810f37ff3d2dbce228b9e0579e7e7932acb682365f01538
+size 229170
diff --git a/results/train/ellipse/problem_2106.png b/results/train/ellipse/problem_2106.png
new file mode 100644
index 0000000000000000000000000000000000000000..cff1827f1379ee3fcc7a47e863b23c2c7d5ee772
--- /dev/null
+++ b/results/train/ellipse/problem_2106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8eee55e208f5ccff6071838e2c74ce001436d94c92f868edeb741b528b448838
+size 217056
diff --git a/results/train/ellipse/problem_2107.png b/results/train/ellipse/problem_2107.png
new file mode 100644
index 0000000000000000000000000000000000000000..856ad07195f56962184a251886f5d52d85250e42
--- /dev/null
+++ b/results/train/ellipse/problem_2107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:365516937cba3e756638eb91520cb8e0d4f53c8ec0b006d6c8115c89e5ad1c50
+size 228760
diff --git a/results/train/ellipse/problem_2112.png b/results/train/ellipse/problem_2112.png
new file mode 100644
index 0000000000000000000000000000000000000000..791c868cdcf1fb3bc84b035df536740108eec56b
--- /dev/null
+++ b/results/train/ellipse/problem_2112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15df11214bc00c27d34236c417329168ef58e573732b285a0033f05a0f596b17
+size 223195
diff --git a/results/train/ellipse/problem_2113.png b/results/train/ellipse/problem_2113.png
new file mode 100644
index 0000000000000000000000000000000000000000..70be865cd6c2525c5a2d0e504b476eee82cd6dd8
--- /dev/null
+++ b/results/train/ellipse/problem_2113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0bdd3a349970ec876dd10cb6fdfd82b3ac870e29b3d0edf2983ddb7d58dc768
+size 218757
diff --git a/results/train/ellipse/problem_2114.png b/results/train/ellipse/problem_2114.png
new file mode 100644
index 0000000000000000000000000000000000000000..4112e5bfc7f4914b297613c8f132e9f1abfb1ebe
--- /dev/null
+++ b/results/train/ellipse/problem_2114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35836370a7aba68f09252fb7bdc6b22374549ecccdbdee365b09311fd0156996
+size 232704
diff --git a/results/train/ellipse/problem_2119.png b/results/train/ellipse/problem_2119.png
new file mode 100644
index 0000000000000000000000000000000000000000..07659796b57cc59f96521a78059ccdcc2d852179
--- /dev/null
+++ b/results/train/ellipse/problem_2119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95760689d74eac6f857d670d8b781e333054ebbb03ad1333618bfcda48ed14ac
+size 198520
diff --git a/results/train/ellipse/problem_2122.png b/results/train/ellipse/problem_2122.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b94d697ea5a60657beb08d26840214de8a7b85e
--- /dev/null
+++ b/results/train/ellipse/problem_2122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:665054aa3e2bfafb718314b83409d9dff118aa2ab61faf992095b5ec6b09f1fb
+size 230863
diff --git a/results/train/ellipse/problem_2123.png b/results/train/ellipse/problem_2123.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d792e646ee9d348f370ac1bc2b4b62a7fc8eafe
--- /dev/null
+++ b/results/train/ellipse/problem_2123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0046435d782e43a5ec6f819442451dd05f93b1e5f89df5e6667dde454f2caae9
+size 222914
diff --git a/results/train/ellipse/problem_2124.png b/results/train/ellipse/problem_2124.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fd2ab39c60e6c9d2c4df3afcae63179718a0bf9
--- /dev/null
+++ b/results/train/ellipse/problem_2124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cfb6cdd3582d55f4cfb5f35a7a4fe5d647b7fd4e4b4eb391dc9b7b8d8bd0dc6
+size 233183
diff --git a/results/train/ellipse/problem_2125.png b/results/train/ellipse/problem_2125.png
new file mode 100644
index 0000000000000000000000000000000000000000..4975ebf2e5cca9a8ce3d37f1869d8f988ed0d07d
--- /dev/null
+++ b/results/train/ellipse/problem_2125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b59100017505c92575e0b09b90a7574b58b05326afd44866ae7651f4dab727a9
+size 218604
diff --git a/results/train/ellipse/problem_2130.png b/results/train/ellipse/problem_2130.png
new file mode 100644
index 0000000000000000000000000000000000000000..417ce2f312e3a21239c538074ee31f2697e5b0ed
--- /dev/null
+++ b/results/train/ellipse/problem_2130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53f3a8bb9f7dfd7bd669ae90f8ae9632eb111c990df3dc57161f99e28d9ab979
+size 201285
diff --git a/results/train/ellipse/problem_2134.png b/results/train/ellipse/problem_2134.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ddca3dcf295a6c21c9c6e1175e28df854690a21
--- /dev/null
+++ b/results/train/ellipse/problem_2134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:283787d5644c401e733b0ec31de05480609ab8e4d297b04e36ebf5b5723a7286
+size 194500
diff --git a/results/train/ellipse/problem_2137.png b/results/train/ellipse/problem_2137.png
new file mode 100644
index 0000000000000000000000000000000000000000..62a0d02a4751591a729cbb6153358c2b3a15f3bf
--- /dev/null
+++ b/results/train/ellipse/problem_2137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b112463ab3a0a754c4dbdae246906c5e3138ab9bb4859093c71f8524d662f20
+size 202807
diff --git a/results/train/ellipse/problem_2141.png b/results/train/ellipse/problem_2141.png
new file mode 100644
index 0000000000000000000000000000000000000000..dab542a494451760a69ceec8b208e2bb415bc60f
--- /dev/null
+++ b/results/train/ellipse/problem_2141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:998c2c2e62135953d30fe6e366664998a087a43a8d2565cc73dab6bd61e0587f
+size 214023
diff --git a/results/train/ellipse/problem_2147.png b/results/train/ellipse/problem_2147.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b756775dc7bde163b0ebbc61f76f9c63a1244eb
--- /dev/null
+++ b/results/train/ellipse/problem_2147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1191f79029d3a623f07dfb13c4d2120cb1887d6127759259432573a9608042b8
+size 246131
diff --git a/results/train/ellipse/problem_2158.png b/results/train/ellipse/problem_2158.png
new file mode 100644
index 0000000000000000000000000000000000000000..ada4925104b93a74e1c3ac7c160a2ab721ff0775
--- /dev/null
+++ b/results/train/ellipse/problem_2158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ef6a9a9e731b27aa84bf3ef883b36bf7454ba3e516f78eaaa272b264a8094bd
+size 223923
diff --git a/results/train/ellipse/problem_2159.png b/results/train/ellipse/problem_2159.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c6766d2cd499faab3dd0395fbaa5083454dc0fa
--- /dev/null
+++ b/results/train/ellipse/problem_2159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6663dc5e131cb557b3f60b56f3b88ca1c66f8e9a94747052c113a5ddbddf3b00
+size 224923
diff --git a/results/train/ellipse/problem_2164.png b/results/train/ellipse/problem_2164.png
new file mode 100644
index 0000000000000000000000000000000000000000..7dee8f949067c3ea570636e9445fa450659073c2
--- /dev/null
+++ b/results/train/ellipse/problem_2164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d28e9e496f24dd531f05f906df0a2b484b1d9d6ebb7c7e8cf5463f3fc677834
+size 212492
diff --git a/results/train/ellipse/problem_2169.png b/results/train/ellipse/problem_2169.png
new file mode 100644
index 0000000000000000000000000000000000000000..de5c1abcc6706b5cda073686cc11cfcbf85022c2
--- /dev/null
+++ b/results/train/ellipse/problem_2169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cb3c7f7fe4b070bfadd0fa2d6c530768b55a37349ceb878cf2ed3b2b2d040d7
+size 219160
diff --git a/results/train/ellipse/problem_2174.png b/results/train/ellipse/problem_2174.png
new file mode 100644
index 0000000000000000000000000000000000000000..808570be35e4e69f64b218769275bd79339fcff5
--- /dev/null
+++ b/results/train/ellipse/problem_2174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64846f266c10fd8b59ac6f810fe7b27703268d32c2cd822e25c3d83dea2548d1
+size 232148
diff --git a/results/train/ellipse/problem_2177.png b/results/train/ellipse/problem_2177.png
new file mode 100644
index 0000000000000000000000000000000000000000..e28e26415fc49741c8acc6215cf19f01c53ca131
--- /dev/null
+++ b/results/train/ellipse/problem_2177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b173116a0d6906685e7fa64c9ac0ccb4948a8a31198ed5c1f72a4286e080873e
+size 243012
diff --git a/results/train/ellipse/problem_2184.png b/results/train/ellipse/problem_2184.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcf3a30a6d65c6a7e82f0ca64dd2dd4305262cf9
--- /dev/null
+++ b/results/train/ellipse/problem_2184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f960640d9baa12619a175180d19c1ef08f0b1664fee18a3394773c66dcc35a1
+size 191704
diff --git a/results/train/ellipse/problem_2190.png b/results/train/ellipse/problem_2190.png
new file mode 100644
index 0000000000000000000000000000000000000000..97c7d3a8cfc5bb51a7de3f13cb3348d84acc1352
--- /dev/null
+++ b/results/train/ellipse/problem_2190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26273662346b98a7b44b0031f0927f8ff0f1b554c13eacfb7e88226511e086e5
+size 224053
diff --git a/results/train/ellipse/problem_2192.png b/results/train/ellipse/problem_2192.png
new file mode 100644
index 0000000000000000000000000000000000000000..7837d75d802e515a3fca323eda653fb6e4dcb606
--- /dev/null
+++ b/results/train/ellipse/problem_2192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3f2fa3af1f538a17b2a7f4cda49249fb523d212fb1445eb2b8a7b4cb5e52b5e
+size 228397
diff --git a/results/train/ellipse/problem_2193.png b/results/train/ellipse/problem_2193.png
new file mode 100644
index 0000000000000000000000000000000000000000..005b4b8edd829eca00439a4969749cab9d5e024a
--- /dev/null
+++ b/results/train/ellipse/problem_2193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ef540228a8ca155ff76daada038b55d3c7108915b4ebebf8c19fb516d1b6669
+size 228048
diff --git a/results/train/ellipse/problem_2198.png b/results/train/ellipse/problem_2198.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5faceb8fa3d456d4fbbe26a656f6e85a7007253
--- /dev/null
+++ b/results/train/ellipse/problem_2198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01b24e07ea57684e959c97a2c63d48dc4d3a3b2cb479f002404984b0d3f2b90a
+size 193272
diff --git a/results/train/ellipse/problem_2210.png b/results/train/ellipse/problem_2210.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6290d5d4b933c060338343552957504d58899f3
--- /dev/null
+++ b/results/train/ellipse/problem_2210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ed5f983890734b2173f32ee2dc1effe5a2b793c09f1b6f432be13c26881c60e
+size 191030
diff --git a/results/train/ellipse/problem_2212.png b/results/train/ellipse/problem_2212.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc8513f2c3aa3e60cd338a7c9fcfd7ef1aa96316
--- /dev/null
+++ b/results/train/ellipse/problem_2212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07d1ba7c0f16241fab5109ced66cf7bc2f4889be92d39adf49a9beaaf7e191f3
+size 209476
diff --git a/results/train/ellipse/problem_2214.png b/results/train/ellipse/problem_2214.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d02072758d62118d13cb17711f84db72411563d
--- /dev/null
+++ b/results/train/ellipse/problem_2214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5930a88c631bb8269aabaa023193c9f510495ee4ce8f2219126c1d991241a7a
+size 223832
diff --git a/results/train/ellipse/problem_2215.png b/results/train/ellipse/problem_2215.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a92ae9a00e88094d23db6a175f36e3a38682e63
--- /dev/null
+++ b/results/train/ellipse/problem_2215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91e35225009dd38b2a15b8d2c35c90dfc2215238c056a08f91025a90822e90e6
+size 211644
diff --git a/results/train/ellipse/problem_2216.png b/results/train/ellipse/problem_2216.png
new file mode 100644
index 0000000000000000000000000000000000000000..8311ac957900eeaa38250a42645ca59660787641
--- /dev/null
+++ b/results/train/ellipse/problem_2216.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3dce47a00480f1edf5f19270133738af4c7be776e4f07eead3cd9d2640664af
+size 237733
diff --git a/results/train/ellipse/problem_2217.png b/results/train/ellipse/problem_2217.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fb2f77daf2a02543c0bf765639c20547a1ece6a
--- /dev/null
+++ b/results/train/ellipse/problem_2217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2db0da9ee45939bd5f25ae8860f6d74c6768c9b966880e8ba60b2e4836ccc719
+size 241970
diff --git a/results/train/ellipse/problem_2220.png b/results/train/ellipse/problem_2220.png
new file mode 100644
index 0000000000000000000000000000000000000000..42f4d73112939d78ef59dd86bf46bfffa130ca0c
--- /dev/null
+++ b/results/train/ellipse/problem_2220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3d31215d8558eb664bfbcc018c454b2edce21fb546650d62f8e55a7d4b0476b
+size 192837
diff --git a/results/train/ellipse/problem_2226.png b/results/train/ellipse/problem_2226.png
new file mode 100644
index 0000000000000000000000000000000000000000..9cf23a486de12dc79fc78562c7e17850d8ec6dc7
--- /dev/null
+++ b/results/train/ellipse/problem_2226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c63e1c97825a9175785e639ae18eacd840c3af3cdaff0b4398028d0316e82ad
+size 207469
diff --git a/results/train/ellipse/problem_2228.png b/results/train/ellipse/problem_2228.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d676168860adb315b30cfc8633ae7f6d553a5a1
--- /dev/null
+++ b/results/train/ellipse/problem_2228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a3292af89d8fb81f3eb135ed8ba3b29ca3a12c6d8e4309fdaf14b5dda7ae50f
+size 233246
diff --git a/results/train/ellipse/problem_2237.png b/results/train/ellipse/problem_2237.png
new file mode 100644
index 0000000000000000000000000000000000000000..3408978b7ab229c6c28036c0477a3c207144d1c0
--- /dev/null
+++ b/results/train/ellipse/problem_2237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2325a2e70a4965ae301daa1d5c2543f8f7f71cb1508e3d5b332649836e732c0c
+size 241488
diff --git a/results/train/ellipse/problem_2238.png b/results/train/ellipse/problem_2238.png
new file mode 100644
index 0000000000000000000000000000000000000000..82bea4d5caf2ec22c7cf8a5fa1f896928658eac6
--- /dev/null
+++ b/results/train/ellipse/problem_2238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e58cb22dda1133082e3dede0906bc5186dbea69505b5dd3afe6c6752303d76b
+size 226252
diff --git a/results/train/ellipse/problem_2239.png b/results/train/ellipse/problem_2239.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa68f879a39480105482896dad1ae29442902068
--- /dev/null
+++ b/results/train/ellipse/problem_2239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5410763aede62ba0270191d89ac8d12930507616001eca18faabb9897428b9b8
+size 215644
diff --git a/results/train/ellipse/problem_2242.png b/results/train/ellipse/problem_2242.png
new file mode 100644
index 0000000000000000000000000000000000000000..c252d391f875c074b938f86a41c795ac937973ce
--- /dev/null
+++ b/results/train/ellipse/problem_2242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b872b7797c09b6c6e8f6131718be014b8e2a77cd2a095bc05741f9f0932824d2
+size 228057
diff --git a/results/train/ellipse/problem_2243.png b/results/train/ellipse/problem_2243.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbd68283bc8cabaf373f69404aa035ec7d0a8f12
--- /dev/null
+++ b/results/train/ellipse/problem_2243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:301d3693a5c953fceaafbbc76e3e1cdc57dbedd80c187afe5e3363243a5fdee8
+size 184358
diff --git a/results/train/ellipse/problem_2244.png b/results/train/ellipse/problem_2244.png
new file mode 100644
index 0000000000000000000000000000000000000000..311035c4aeb738bc04ef71a89f991672b9a17989
--- /dev/null
+++ b/results/train/ellipse/problem_2244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e000da88fef1e81a3f5534f479e8496f66984981cdfa7b754172cbe03c33be9
+size 221976
diff --git a/results/train/ellipse/problem_2245.png b/results/train/ellipse/problem_2245.png
new file mode 100644
index 0000000000000000000000000000000000000000..224af3d42d00edcb2bb15437f98c409283d9be47
--- /dev/null
+++ b/results/train/ellipse/problem_2245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d5e147508b1e40386469e0ab1a3af402b9b37c8657be3f252f3ab314dd7bc85
+size 229589
diff --git a/results/train/ellipse/problem_2247.png b/results/train/ellipse/problem_2247.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b33a18046970ee051c8726a13917b19a9953606
--- /dev/null
+++ b/results/train/ellipse/problem_2247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1dcad7147ef50e63558ed1388358e95e185dcc90f63c2f30d8032d6601aef1e
+size 215872
diff --git a/results/train/ellipse/problem_2249.png b/results/train/ellipse/problem_2249.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ca7dc00739638f03837ff5444109228ce29e8a4
--- /dev/null
+++ b/results/train/ellipse/problem_2249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d257113d0c987e49ada88d423f5910b0ece95163a76a0fc95905be3361f5c3b8
+size 226396
diff --git a/results/train/ellipse/problem_2255.png b/results/train/ellipse/problem_2255.png
new file mode 100644
index 0000000000000000000000000000000000000000..295d6763601097bb5ee7f3bdd73db8ee4106088a
--- /dev/null
+++ b/results/train/ellipse/problem_2255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:464f19b182026540ac82ac21a1cdd38eb408936f6edc351d6bcca357d6ec5d1d
+size 237950
diff --git a/results/train/ellipse/problem_2271.png b/results/train/ellipse/problem_2271.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ed424b19b7acc3a20487887315ef856128d6e26
--- /dev/null
+++ b/results/train/ellipse/problem_2271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d3dc696a9162b490239a93ca305fb6dcc772bfb8d51c691d9c23033b0c9279e
+size 215391
diff --git a/results/train/ellipse/problem_2273.png b/results/train/ellipse/problem_2273.png
new file mode 100644
index 0000000000000000000000000000000000000000..4415e763ee428bc7c1df9c23fa892d5771d1dd30
--- /dev/null
+++ b/results/train/ellipse/problem_2273.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bddf1b488c5e22c1c586f7bcbc96705f55372d1c4c24030090badf36363cde31
+size 217875
diff --git a/results/train/ellipse/problem_2274.png b/results/train/ellipse/problem_2274.png
new file mode 100644
index 0000000000000000000000000000000000000000..c78149b13b31db0053a9d057bacd2f3a100ecd7c
--- /dev/null
+++ b/results/train/ellipse/problem_2274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3990182b1f1564059711ba62e23bc7b0634da4236faadb32df8e705b579490d6
+size 241396
diff --git a/results/train/ellipse/problem_2282.png b/results/train/ellipse/problem_2282.png
new file mode 100644
index 0000000000000000000000000000000000000000..826f48e51098eb2e35015dd3ddd6e387822bf90e
--- /dev/null
+++ b/results/train/ellipse/problem_2282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcd5b3ee3b3072c6751b5b4101afd9bc0a0c8d6bc4525f8ad4fa4af3c2e1e01e
+size 238617
diff --git a/results/train/ellipse/problem_2285.png b/results/train/ellipse/problem_2285.png
new file mode 100644
index 0000000000000000000000000000000000000000..98f884f323d7a459433d8b06527aa19be1286509
--- /dev/null
+++ b/results/train/ellipse/problem_2285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:473528f26e9f9b8ad6acece51c140ca6619e9186c9945a9f0d7ab7542a2b70ce
+size 223119
diff --git a/results/train/ellipse/problem_2287.png b/results/train/ellipse/problem_2287.png
new file mode 100644
index 0000000000000000000000000000000000000000..9737ccd1cda5fbbdeb9ac2ef4a079abd9e1d36ec
--- /dev/null
+++ b/results/train/ellipse/problem_2287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d43e944f054db29eaa5a10f2ec657cc17e83b9ab7220910b4cb8fb73831c5b8
+size 234265
diff --git a/results/train/ellipse/problem_2289.png b/results/train/ellipse/problem_2289.png
new file mode 100644
index 0000000000000000000000000000000000000000..902a8142eee0a103b235e3f8485a8e8b0e29632c
--- /dev/null
+++ b/results/train/ellipse/problem_2289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b3b6152fbbfb532956d7627efabe1a3d697ae80253b9fabb6daefd9740ed520
+size 234942
diff --git a/results/train/ellipse/problem_2297.png b/results/train/ellipse/problem_2297.png
new file mode 100644
index 0000000000000000000000000000000000000000..32737ac4b50ee3fbfd43d192c2f589bcb4999a5a
--- /dev/null
+++ b/results/train/ellipse/problem_2297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1db9472f8f1e70a48152d34befe452445ee64e2b9c35b87702783252e1dd8881
+size 220847
diff --git a/results/train/ellipse/problem_2298.png b/results/train/ellipse/problem_2298.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5b54ddb65ab1b1940709b4ee34427570d837096
--- /dev/null
+++ b/results/train/ellipse/problem_2298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a851531cd18e65297191941d13f153b78bffe82edbefc9e27275e472a3669481
+size 188170
diff --git a/results/train/ellipse/problem_2301.png b/results/train/ellipse/problem_2301.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2da6b195453ba429917f1a2932c8a3ba1789c5a
--- /dev/null
+++ b/results/train/ellipse/problem_2301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3268863c8780ae527c47a173c7bdea6cea52b31329df2e4bdf28cee96fe443ac
+size 237077
diff --git a/results/train/ellipse/problem_2306.png b/results/train/ellipse/problem_2306.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd838cf4cf430be0c7fff581f4ce1d6862e2cef8
--- /dev/null
+++ b/results/train/ellipse/problem_2306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a243f7c6d67c98f5f271a850bf3ab37f72f6295dd43cdf38abb85c7c34f35e31
+size 213785
diff --git a/results/train/ellipse/problem_2308.png b/results/train/ellipse/problem_2308.png
new file mode 100644
index 0000000000000000000000000000000000000000..4094b4e21c860b1c1bfa20e9fd76343b5587d733
--- /dev/null
+++ b/results/train/ellipse/problem_2308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8146f695dbc303b1f7a40fdf6afd514889df294bd3dd523f54b36bae2c09be07
+size 218782
diff --git a/results/train/ellipse/problem_2314.png b/results/train/ellipse/problem_2314.png
new file mode 100644
index 0000000000000000000000000000000000000000..71190b0f22f0f20de26b3d75852fa0dfefdac0e5
--- /dev/null
+++ b/results/train/ellipse/problem_2314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a0da4469d85aa57341e332c09628bc32d022e13e1d45172cb700820478471e0
+size 226239
diff --git a/results/train/ellipse/problem_2316.png b/results/train/ellipse/problem_2316.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea1c926b4b24dbf2fd09c2d103d4810e6b433f56
--- /dev/null
+++ b/results/train/ellipse/problem_2316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1007f73608ddb8e76d269d82ee64b17bc9047573a91bc65ac564f910f79ee76
+size 230428
diff --git a/results/train/ellipse/problem_2323.png b/results/train/ellipse/problem_2323.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae1eadfc3cd868027fd7cf59c07e805f912c0ebc
--- /dev/null
+++ b/results/train/ellipse/problem_2323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d87435a2bc433f9cd959b29ee4ae601e1766651cc40c36d0d4e2649600e20ec4
+size 211606
diff --git a/results/train/ellipse/problem_2328.png b/results/train/ellipse/problem_2328.png
new file mode 100644
index 0000000000000000000000000000000000000000..8411c3f3fc0d93cc452bc0625a0b80baaab105fe
--- /dev/null
+++ b/results/train/ellipse/problem_2328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:118f8da79cf8d4ca0ac0db3a1bebde20a37846912563fb6ac15ffd3b075c8ba2
+size 230436
diff --git a/results/train/ellipse/problem_2332.png b/results/train/ellipse/problem_2332.png
new file mode 100644
index 0000000000000000000000000000000000000000..26058bdfa306ecddc51e80fefab50e3912cd12ff
--- /dev/null
+++ b/results/train/ellipse/problem_2332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d40c337700e760d9d8dba52b95a8bdb2b8c5ab984c2de6caa645e49d6e547ce8
+size 232597
diff --git a/results/train/ellipse/problem_2334.png b/results/train/ellipse/problem_2334.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7def9980a2e4144418c4a66a3aecbad297e0bb6
--- /dev/null
+++ b/results/train/ellipse/problem_2334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88760cd41d4f83713b1e913b8a4ce841d7f3aae1f82bdaba687d675722c85300
+size 236578
diff --git a/results/train/ellipse/problem_2336.png b/results/train/ellipse/problem_2336.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4bfda89c6e01dcc0e407d7f0b751fa4a8cf58fc
--- /dev/null
+++ b/results/train/ellipse/problem_2336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76426a225bdf641e0ac69f7ed645c20add74e2599c24dcee55ef989b9a998594
+size 226239
diff --git a/results/train/ellipse/problem_2338.png b/results/train/ellipse/problem_2338.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdd713d17b0ca3bda502536a187fa3adb0316796
--- /dev/null
+++ b/results/train/ellipse/problem_2338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c0dc5b14cab576dbbb1a695173f4cc4f29cf8d0c0ce8e4d6b8b0a4633eda97e
+size 220441
diff --git a/results/train/ellipse/problem_2342.png b/results/train/ellipse/problem_2342.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3f3ab71fa587d89f6b81bd13e3e6dbf4108738e
--- /dev/null
+++ b/results/train/ellipse/problem_2342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56644174eaaf84632ee66c9462fce1bc5a885d24eb0cc084006aa61b06db988a
+size 220474
diff --git a/results/train/ellipse/problem_2350.png b/results/train/ellipse/problem_2350.png
new file mode 100644
index 0000000000000000000000000000000000000000..77f0cfc6d418e9e8010e94365dbd438357aa65a4
--- /dev/null
+++ b/results/train/ellipse/problem_2350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbc212f0c06d941c8ded957ab085c91ed8498607308e6302c9a3cdde0c645342
+size 224821
diff --git a/results/train/ellipse/problem_2351.png b/results/train/ellipse/problem_2351.png
new file mode 100644
index 0000000000000000000000000000000000000000..f835a5052a3218a7369e08fab675ae811dff754a
--- /dev/null
+++ b/results/train/ellipse/problem_2351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:953ae9f70c0ce9db71e3ee392efb85c9f6d2451e2e4195ed95770701eb6a2b1b
+size 223725
diff --git a/results/train/ellipse/problem_2352.png b/results/train/ellipse/problem_2352.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea8beaadfc1b13bc653e689a8c31527d9c79ec53
--- /dev/null
+++ b/results/train/ellipse/problem_2352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7dacbd85a2916fcfcdeff51041bd132c3109a7dfb1190470511ae49be666c64
+size 226626
diff --git a/results/train/ellipse/problem_2360.png b/results/train/ellipse/problem_2360.png
new file mode 100644
index 0000000000000000000000000000000000000000..36850c0ba938e52bc3c8387724482796e9b97070
--- /dev/null
+++ b/results/train/ellipse/problem_2360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c29c295f84a321f538815baafdd037dd9c62eea730e4b28410f6d5a568dcde5f
+size 223480
diff --git a/results/train/ellipse/problem_2363.png b/results/train/ellipse/problem_2363.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9fe231a0664e3dad2c1eae4f0c6c259ea24a6ce
--- /dev/null
+++ b/results/train/ellipse/problem_2363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:615e564a809a800b9d54df45ec5a7a99e2fc7fccd56227c0e3047f02fbeaefd3
+size 235626
diff --git a/results/train/ellipse/problem_2364.png b/results/train/ellipse/problem_2364.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3b65b38c3746d504ec5d6f2487c94f081c6acc9
--- /dev/null
+++ b/results/train/ellipse/problem_2364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ed46900d4ef6f86cd7e2742cf7b165eba047a1002f07184275f5f41dc54eb99
+size 200436
diff --git a/results/train/ellipse/problem_2367.png b/results/train/ellipse/problem_2367.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f8c7715530a204c2ee8efcf597cc938070b0052
--- /dev/null
+++ b/results/train/ellipse/problem_2367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43761dd1e78a54af1b142ce432158c7c898b44b83741efd432009bc1e368e8aa
+size 205176
diff --git a/results/train/ellipse/problem_2370.png b/results/train/ellipse/problem_2370.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ac3d8d43c04a7829ff36f9ba5fe0686127ad4c8
--- /dev/null
+++ b/results/train/ellipse/problem_2370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efee19c280219bda4016e3e218185322e72a2f0eec3bee4a7e38b3c72180a7af
+size 205607
diff --git a/results/train/ellipse/problem_2379.png b/results/train/ellipse/problem_2379.png
new file mode 100644
index 0000000000000000000000000000000000000000..2737e0392d2c08aba51c0e27be9c105e5871a211
--- /dev/null
+++ b/results/train/ellipse/problem_2379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e355c08945b4f01de44483defe54475815e49558520e87473636d39b0eb4592
+size 218749
diff --git a/results/train/ellipse/problem_2381.png b/results/train/ellipse/problem_2381.png
new file mode 100644
index 0000000000000000000000000000000000000000..587e37ff0979dc41631f1d549d5b5851f1d478f0
--- /dev/null
+++ b/results/train/ellipse/problem_2381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:365bd868a55f97c3480c94887a4b35b46c3c304e08688ade2d33eee8dcf2fa22
+size 184282
diff --git a/results/train/ellipse/problem_2384.png b/results/train/ellipse/problem_2384.png
new file mode 100644
index 0000000000000000000000000000000000000000..99b380eb3f93f305b8538ffc6ee7b99fd4beafc2
--- /dev/null
+++ b/results/train/ellipse/problem_2384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:694202f13696194bc5320a14967661f4f506771f02dbad09f5b8d15f88c47ab3
+size 212095
diff --git a/results/train/ellipse/problem_2387.png b/results/train/ellipse/problem_2387.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9271fa7e4204bef4348d5c241935f00b58b95f4
--- /dev/null
+++ b/results/train/ellipse/problem_2387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f35753997a1f9b6f3cdae73e85a219e2485c2e2be1bc433b819bdf47dfc543
+size 232505
diff --git a/results/train/ellipse/problem_2388.png b/results/train/ellipse/problem_2388.png
new file mode 100644
index 0000000000000000000000000000000000000000..267e55678a96338afa950c2e619c11742c6c2f5e
--- /dev/null
+++ b/results/train/ellipse/problem_2388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0108a379c28fb2f1c110c39102d3e7f8ae89f12ebb8ffd18f891af5249021791
+size 229977
diff --git a/results/train/ellipse/problem_2389.png b/results/train/ellipse/problem_2389.png
new file mode 100644
index 0000000000000000000000000000000000000000..5483f17843454837a2dd9f55b1855b0ba4beb06f
--- /dev/null
+++ b/results/train/ellipse/problem_2389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:790166b84f1e5b9e014b48b6ec129d1a8a998e721eb74c4039e4a1b2a82741b2
+size 215269
diff --git a/results/train/ellipse/problem_2393.png b/results/train/ellipse/problem_2393.png
new file mode 100644
index 0000000000000000000000000000000000000000..92d553557a96e8db7ac33a527744d4e0b79ee325
--- /dev/null
+++ b/results/train/ellipse/problem_2393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b622a466d061b57e5632de6fe4bfb2b34ec3764cbcfa4f42c126c12fc253230
+size 233447
diff --git a/results/train/ellipse/problem_2394.png b/results/train/ellipse/problem_2394.png
new file mode 100644
index 0000000000000000000000000000000000000000..d59f3505a88c7623211b4a6905a3144e63c40720
--- /dev/null
+++ b/results/train/ellipse/problem_2394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f74b998223c88219a0f639a15f09e2a1ae60433ab08f6362e7de5b50c37e6ba
+size 206520
diff --git a/results/train/ellipse/problem_2396.png b/results/train/ellipse/problem_2396.png
new file mode 100644
index 0000000000000000000000000000000000000000..19535b51ea7d3bf6b2b615b327ea38e716ffb67e
--- /dev/null
+++ b/results/train/ellipse/problem_2396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d403acfd27866da4cb0eb9e92948e988c6589884ef13afbe8564c5c3012b5b4
+size 236304
diff --git a/results/train/ellipse/problem_2397.png b/results/train/ellipse/problem_2397.png
new file mode 100644
index 0000000000000000000000000000000000000000..efb923c2a5373d747e763b43c849ced05305acbb
--- /dev/null
+++ b/results/train/ellipse/problem_2397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82fa6e8a471853c851e41cac4687daaef7ca2b2346ca82d11f5cadd8ea0de1c0
+size 242687
diff --git a/results/train/ellipse/problem_2398.png b/results/train/ellipse/problem_2398.png
new file mode 100644
index 0000000000000000000000000000000000000000..17cd4e74af0c42a4f89f5084002d8fb25fb04e0c
--- /dev/null
+++ b/results/train/ellipse/problem_2398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2473bee94dc0b662422b619ee4ebb800ba4014c3371fa5f0b8c7a0a95b53542
+size 231177
diff --git a/results/train/ellipse/problem_2399.png b/results/train/ellipse/problem_2399.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e9e73604c3ee584748f651894dd5e02f70f553b
--- /dev/null
+++ b/results/train/ellipse/problem_2399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:965477e34886506e6a97a7b31dff612683e055798369561efd2e9d142d5258b3
+size 235500
diff --git a/results/train/ellipse/problem_2402.png b/results/train/ellipse/problem_2402.png
new file mode 100644
index 0000000000000000000000000000000000000000..53281d79c98fcedbd7d0e6d129037b5decbd96ab
--- /dev/null
+++ b/results/train/ellipse/problem_2402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b57892fcdce78d5ef467b15ab9447a0dd972c6b684f8f8aa7732fea40393dc81
+size 219273
diff --git a/results/train/ellipse/problem_2405.png b/results/train/ellipse/problem_2405.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d670760511353ab0345a50c7dce2eeb2b3773a0
--- /dev/null
+++ b/results/train/ellipse/problem_2405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cd79d68d4f637e2553146635dd6618545b67c40583ed9c5a89b479889808622
+size 220285
diff --git a/results/train/ellipse/problem_2423.png b/results/train/ellipse/problem_2423.png
new file mode 100644
index 0000000000000000000000000000000000000000..7130231f156b26c5581a867e65b97520ad6ace81
--- /dev/null
+++ b/results/train/ellipse/problem_2423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8102ec2907a430fa24d171b10d31256bca17defd13e8e3510706fcc7543add86
+size 225178
diff --git a/results/train/ellipse/problem_2424.png b/results/train/ellipse/problem_2424.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b76504e7b69dfbb4a810a0ae9e0d736223428ec
--- /dev/null
+++ b/results/train/ellipse/problem_2424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22a77170cfc5ecb4fe071e61afd251ad681d13593cacf3bbf4c50e72324ba012
+size 195884
diff --git a/results/train/ellipse/problem_2425.png b/results/train/ellipse/problem_2425.png
new file mode 100644
index 0000000000000000000000000000000000000000..da1a9887e3b6213b81779efcf9a3df21eae85a0d
--- /dev/null
+++ b/results/train/ellipse/problem_2425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1058ca22869d1b7f27d10c44b69726a50c1d74b4a4faa20b4b4282b4c4c25539
+size 204030
diff --git a/results/train/ellipse/problem_2428.png b/results/train/ellipse/problem_2428.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e50f164316d8960e70bbfde49bb26cdc4924072
--- /dev/null
+++ b/results/train/ellipse/problem_2428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af47310d0c9e832f305d15388150b738b3d85c825a96e3ecf3d2490eb077cf8d
+size 230007
diff --git a/results/train/ellipse/problem_2431.png b/results/train/ellipse/problem_2431.png
new file mode 100644
index 0000000000000000000000000000000000000000..deedf89c1ac16142b1a44fa812b2bc00d3c454b4
--- /dev/null
+++ b/results/train/ellipse/problem_2431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73eac0ec812a6b9271e5e9e22950bbe7af384c2d51138d2b2549c057cc22016a
+size 221981
diff --git a/results/train/ellipse/problem_2435.png b/results/train/ellipse/problem_2435.png
new file mode 100644
index 0000000000000000000000000000000000000000..14cb3e8a6a2699d3b398aed855c71e21f1b094e6
--- /dev/null
+++ b/results/train/ellipse/problem_2435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c56cfe3df0095c713fdd17ceed024d7a81a6ab7378db36a01fb560a95b8224c1
+size 248243
diff --git a/results/train/ellipse/problem_2436.png b/results/train/ellipse/problem_2436.png
new file mode 100644
index 0000000000000000000000000000000000000000..039321900c7e703f9c522dd136f4864b8824070a
--- /dev/null
+++ b/results/train/ellipse/problem_2436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bca49f5b58f155bfe10a59b665f80deaf1a64bf9ad22ccc8ebe66f218c3e93d9
+size 236588
diff --git a/results/train/ellipse/problem_2449.png b/results/train/ellipse/problem_2449.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb0a7a4d08e69d7bff3dac1ab8c815e72b142dc3
--- /dev/null
+++ b/results/train/ellipse/problem_2449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87bb90b354d68d02cd1c6bfa864008270ad08d611cb0e84b401793909668026a
+size 228238
diff --git a/results/train/ellipse/problem_2450.png b/results/train/ellipse/problem_2450.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd4eebaf6738635d4ba78bc4b385687c01b16acb
--- /dev/null
+++ b/results/train/ellipse/problem_2450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:820640cd4ef8d9d41beab0fcbf9c89e8b4c8cb307c5b787ca8305715a9754732
+size 209358
diff --git a/results/train/ellipse/problem_2456.png b/results/train/ellipse/problem_2456.png
new file mode 100644
index 0000000000000000000000000000000000000000..e43ffb466e75809de5bd44c7c51b4ba72979c639
--- /dev/null
+++ b/results/train/ellipse/problem_2456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6098d52ac8aab60107c0d5388d061902737822def2f5a2ff5d8255aac128c7d2
+size 221467
diff --git a/results/train/ellipse/problem_2461.png b/results/train/ellipse/problem_2461.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfabeea9e4a52290d5a8719b53abe754f5a4cabd
--- /dev/null
+++ b/results/train/ellipse/problem_2461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6e7f9fe4a72d8ba7a90a1e5de2cd6a312491ab8b92d39c1fa89448bd779a85c
+size 217268
diff --git a/results/train/ellipse/problem_2462.png b/results/train/ellipse/problem_2462.png
new file mode 100644
index 0000000000000000000000000000000000000000..1de25b2b8e82b5fda4d7051ebec6c77c29573a4b
--- /dev/null
+++ b/results/train/ellipse/problem_2462.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f97837fbf82436e2a83d5b035e67502a531cc30cc71c554985ef36ac3617051
+size 209120
diff --git a/results/train/ellipse/problem_2463.png b/results/train/ellipse/problem_2463.png
new file mode 100644
index 0000000000000000000000000000000000000000..2554ab6cd7f0a29e198816b8e1cd1683b8356b2a
--- /dev/null
+++ b/results/train/ellipse/problem_2463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f473cb618bacf6a3aef589d5842ce9924f0c5c1e68e78502e1ae788d804fa1c
+size 214872
diff --git a/results/train/ellipse/problem_2481.png b/results/train/ellipse/problem_2481.png
new file mode 100644
index 0000000000000000000000000000000000000000..fedf0eceba7107fde128e643cf63fe0cc4249158
--- /dev/null
+++ b/results/train/ellipse/problem_2481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:487e8689e986fcebd57bd1bfc2354848b1677d39d20dbdced98d2609d30a84bf
+size 222100
diff --git a/results/train/ellipse/problem_2489.png b/results/train/ellipse/problem_2489.png
new file mode 100644
index 0000000000000000000000000000000000000000..35fc17c5ccb6c8a9d24a9a718e20595a83410a46
--- /dev/null
+++ b/results/train/ellipse/problem_2489.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e91732e4759d7ba2fd00016e4b8741eca142348119fbf331bdb1ed82b71cc4db
+size 230822
diff --git a/results/train/ellipse/problem_2502.png b/results/train/ellipse/problem_2502.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2632c87b79594d2e34e915143c4971b3361505d
--- /dev/null
+++ b/results/train/ellipse/problem_2502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5a7224db2454c8a6f335077a2d3409452ac189cb69b31aebe759974bc05e555
+size 234491
diff --git a/results/train/ellipse/problem_2508.png b/results/train/ellipse/problem_2508.png
new file mode 100644
index 0000000000000000000000000000000000000000..7aa7d6088337218187f8545a62a5506c3481a941
--- /dev/null
+++ b/results/train/ellipse/problem_2508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:964ea28e6bb94b2830bc02d68ad0af1621b9486a27de06ce155636fce3946357
+size 220374
diff --git a/results/train/ellipse/problem_2512.png b/results/train/ellipse/problem_2512.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebf0119d8ba6ae77a455bc4dfade18a7274debb3
--- /dev/null
+++ b/results/train/ellipse/problem_2512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a53a2d8ba467ee355f9dbeaa97d3271c4fd9fcf79e04c2c58abb2a9f28b351cf
+size 212452
diff --git a/results/train/ellipse/problem_2534.png b/results/train/ellipse/problem_2534.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd88bbe2bf1e4a03117efba2e62fa47f5e87f9ff
--- /dev/null
+++ b/results/train/ellipse/problem_2534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbcea3bb7963b69b632372c10d425d6cfcaebc981b577aed7227e29b1a9bd8b8
+size 224769
diff --git a/results/train/ellipse/problem_2542.png b/results/train/ellipse/problem_2542.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecafd03f3fdad244bd3259bcb77ae26f626aa9d2
--- /dev/null
+++ b/results/train/ellipse/problem_2542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8ffaa61f9364b6d56091cdbe552ef8c63edc9db136c9430a20d4488aab27d6f
+size 213616
diff --git a/results/train/ellipse/problem_2547.png b/results/train/ellipse/problem_2547.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0785d9459d9892049a118248670e48a1790550b
--- /dev/null
+++ b/results/train/ellipse/problem_2547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3d0bdec9f39b6637272ba7f92a1dc283573996abc95bac9f8398434058809ef
+size 216226
diff --git a/results/train/ellipse/problem_2549.png b/results/train/ellipse/problem_2549.png
new file mode 100644
index 0000000000000000000000000000000000000000..a63e440aaaabc89227de2816dcabe60ea20005e2
--- /dev/null
+++ b/results/train/ellipse/problem_2549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cbeb7448f74fa41cd44669b9ac5b75ea760fea84550f9b6a8970c14f7d6f079
+size 218843
diff --git a/results/train/ellipse/problem_2550.png b/results/train/ellipse/problem_2550.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e4d9e5e0cee33de58fd0fcadf92ae6f6f62cbfa
--- /dev/null
+++ b/results/train/ellipse/problem_2550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01c4b3d3481c74bdf972ff8ff126fb6ce204948a2ac59dfa6e75d3d2935d4765
+size 221489
diff --git a/results/train/ellipse/problem_2560.png b/results/train/ellipse/problem_2560.png
new file mode 100644
index 0000000000000000000000000000000000000000..95c1b5478fcdbdbb6ff7b5abe8a160705a745c54
--- /dev/null
+++ b/results/train/ellipse/problem_2560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab7d5db9aa85385dffa872e5efc280cbc46dc53f5c3e23b93acb78e76b5f5ea4
+size 228920
diff --git a/results/train/ellipse/problem_2562.png b/results/train/ellipse/problem_2562.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8f25c7f3d8b80151f26573e286a853020620cc1
--- /dev/null
+++ b/results/train/ellipse/problem_2562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9c7b867c913a890bf5d825ed60edca2b3e7971cc570b905790ed580659d0aa8
+size 240901
diff --git a/results/train/ellipse/problem_2564.png b/results/train/ellipse/problem_2564.png
new file mode 100644
index 0000000000000000000000000000000000000000..961eaca6d3039da30db1f6910ed4459b7c4e1b86
--- /dev/null
+++ b/results/train/ellipse/problem_2564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30a833240536bc53d1f06d1173dc8336db1a98e2b4b40769d968666a63b29578
+size 234230
diff --git a/results/train/ellipse/problem_2568.png b/results/train/ellipse/problem_2568.png
new file mode 100644
index 0000000000000000000000000000000000000000..489e79e075259c5c089ce3da57ed02ea88d9dc04
--- /dev/null
+++ b/results/train/ellipse/problem_2568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccc7c83d427b5ee6de0ab66cf1a5152aeb2779f4db493eed4fabce79fc6b993b
+size 224190
diff --git a/results/train/ellipse/problem_2570.png b/results/train/ellipse/problem_2570.png
new file mode 100644
index 0000000000000000000000000000000000000000..71d01564a6ccded2d7692480e1eda8d9a2f0fa80
--- /dev/null
+++ b/results/train/ellipse/problem_2570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c286a13e3b4f79f76ae7b9de1d0181cadfa3c440c21d5c5f14a86c8eb2fd72bf
+size 234241
diff --git a/results/train/ellipse/problem_2572.png b/results/train/ellipse/problem_2572.png
new file mode 100644
index 0000000000000000000000000000000000000000..81c044a9bf6979180783a73a691cb851b02662a3
--- /dev/null
+++ b/results/train/ellipse/problem_2572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d9f0c08d51241db796b652562381071d7870db7d4193c1d25275c84c8b08393
+size 214225
diff --git a/results/train/ellipse/problem_2573.png b/results/train/ellipse/problem_2573.png
new file mode 100644
index 0000000000000000000000000000000000000000..3faa5068892bb6c46cbe9f64f5c450f8e28911ee
--- /dev/null
+++ b/results/train/ellipse/problem_2573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4eb80d304b47b52b1bb57a06b89511386dd06ac3d4c83712150097bd0cbce0e
+size 222264
diff --git a/results/train/ellipse/problem_2579.png b/results/train/ellipse/problem_2579.png
new file mode 100644
index 0000000000000000000000000000000000000000..c810ba02e4619bd3a7e2c10eb13183433f18c63c
--- /dev/null
+++ b/results/train/ellipse/problem_2579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9e6ef05ed16ef3dd5051c069554446c560bd33083a78e45763c73488ca63924
+size 192830
diff --git a/results/train/ellipse/problem_2581.png b/results/train/ellipse/problem_2581.png
new file mode 100644
index 0000000000000000000000000000000000000000..798a62162dfff37b6284e13f1067422d1799c09c
--- /dev/null
+++ b/results/train/ellipse/problem_2581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43c05dd6bcd1cc37f608ef7d36f5f720d06ea6499bec78ea3acc5061ec208526
+size 201887
diff --git a/results/train/ellipse/problem_2587.png b/results/train/ellipse/problem_2587.png
new file mode 100644
index 0000000000000000000000000000000000000000..16c99e7a83b21c35941fe7309ca8cce31e41fa85
--- /dev/null
+++ b/results/train/ellipse/problem_2587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c91d54cd1114b006d6b9afa26c03c0c8416aa53a97ce123f90ca3f4aa0cda1b
+size 198423
diff --git a/results/train/ellipse/problem_2594.png b/results/train/ellipse/problem_2594.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5d9384f2c82d11dbda03d3f9ff63f3f6e972bf5
--- /dev/null
+++ b/results/train/ellipse/problem_2594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ab8fc9827d24e596374e1d047ab5de9edeb0fc63810a6f51eaf1ce680c2308e
+size 230633
diff --git a/results/train/ellipse/problem_2601.png b/results/train/ellipse/problem_2601.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bdd1ad9cde78fff45a9d03bcc49cd20aad1c390
--- /dev/null
+++ b/results/train/ellipse/problem_2601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4009a86f1ac395f081bae3042831db2365dedd204d201fa89a78650433e6aae6
+size 225505
diff --git a/results/train/ellipse/problem_2604.png b/results/train/ellipse/problem_2604.png
new file mode 100644
index 0000000000000000000000000000000000000000..587c4317ada25573359a149fd50d9ab9310c63a0
--- /dev/null
+++ b/results/train/ellipse/problem_2604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9974cb6d5f9227a5a175bcebb7194b67eadbe07e304f70bbe056151e83ab02a9
+size 239286
diff --git a/results/train/ellipse/problem_2605.png b/results/train/ellipse/problem_2605.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3986f8cba3e98b299ae9ea17de4ce6c3bceb4ef
--- /dev/null
+++ b/results/train/ellipse/problem_2605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0dd9acc77cc4f131ee167f0c009b892f1a68b34fdc8a0b688ad065f8ec6d643f
+size 191621
diff --git a/results/train/ellipse/problem_2607.png b/results/train/ellipse/problem_2607.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0759702e1331dcfce4b024c160a1f95f7859aa4
--- /dev/null
+++ b/results/train/ellipse/problem_2607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1af69c398eb4d4353039e4039c93924a7657da5b4556a4b6105791b8a1e3339f
+size 237107
diff --git a/results/train/ellipse/problem_2610.png b/results/train/ellipse/problem_2610.png
new file mode 100644
index 0000000000000000000000000000000000000000..6af4a08f2c5ecf2b8ef29bbd743dc0344ad2737d
--- /dev/null
+++ b/results/train/ellipse/problem_2610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78389c22cc770ce0eb2342e2b4e13b51ee5ac3f89062e4badfdf30336c36caec
+size 227504
diff --git a/results/train/ellipse/problem_2616.png b/results/train/ellipse/problem_2616.png
new file mode 100644
index 0000000000000000000000000000000000000000..181b33275ff09ac22dda7ae5e604042a5a63c0ec
--- /dev/null
+++ b/results/train/ellipse/problem_2616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:392ed0d1eaf94db9038eff2047dc225d12a314522033827a1b1aa21ff4562e1f
+size 229300
diff --git a/results/train/ellipse/problem_2624.png b/results/train/ellipse/problem_2624.png
new file mode 100644
index 0000000000000000000000000000000000000000..db6a0ebb264b61af2d47e2ac0214fdacb9f72d42
--- /dev/null
+++ b/results/train/ellipse/problem_2624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:574c41971ea973a64aa6904867b2e9a7becbbd939ffef66a2ed16aa13890479b
+size 233197
diff --git a/results/train/ellipse/problem_2625.png b/results/train/ellipse/problem_2625.png
new file mode 100644
index 0000000000000000000000000000000000000000..e48834e64db79a50a6df8695ea6d3e170eecfcc6
--- /dev/null
+++ b/results/train/ellipse/problem_2625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7de5fb8f55828616128a08474f1b189e534b7d2b8cefd8c90855dbeaec0d26d8
+size 228422
diff --git a/results/train/ellipse/problem_2628.png b/results/train/ellipse/problem_2628.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec08fdac498443e95bcd706645aa8ca86fe036a1
--- /dev/null
+++ b/results/train/ellipse/problem_2628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c63a9e62c51100c5ed44a14e79495158be8d0a3e0d1ce5f3dec936b61f5871c7
+size 222443
diff --git a/results/train/ellipse/problem_2630.png b/results/train/ellipse/problem_2630.png
new file mode 100644
index 0000000000000000000000000000000000000000..65043aace7852420b435f767b0deea90285344cd
--- /dev/null
+++ b/results/train/ellipse/problem_2630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9239c22cc654801b5853c132eb497bd046b8925e0b1cc9d6e7c520b5bd350049
+size 279276
diff --git a/results/train/ellipse/problem_2631.png b/results/train/ellipse/problem_2631.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5f0e67c0f567f6e0b52527af21928299d69e530
--- /dev/null
+++ b/results/train/ellipse/problem_2631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:354312b259feac1919553e8b7316fa053c154ce3ccaa4a763646f726b79a58d2
+size 215247
diff --git a/results/train/ellipse/problem_2633.png b/results/train/ellipse/problem_2633.png
new file mode 100644
index 0000000000000000000000000000000000000000..41b19bcd44fe91b0ffd61362fd2499bc2ffe9b83
--- /dev/null
+++ b/results/train/ellipse/problem_2633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32948b9e646fab558a43770968cfa1256b2e64107ac7d157c95daad22230d142
+size 202209
diff --git a/results/train/ellipse/problem_2638.png b/results/train/ellipse/problem_2638.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3e98696c51c88bac6ed7b3e63436af0580bab49
--- /dev/null
+++ b/results/train/ellipse/problem_2638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:777e94a393b1e973d5e29decb0f04935fd7a2d58aa8f4d47a42349242f884b39
+size 250191
diff --git a/results/train/ellipse/problem_2639.png b/results/train/ellipse/problem_2639.png
new file mode 100644
index 0000000000000000000000000000000000000000..af8475b7931b35ba0c1709a64227cd7e4d6ff609
--- /dev/null
+++ b/results/train/ellipse/problem_2639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e64548dc66dd537dc8e238d28972da1a635315bc00bbac70a4054798ab21fe58
+size 218542
diff --git a/results/train/ellipse/problem_2652.png b/results/train/ellipse/problem_2652.png
new file mode 100644
index 0000000000000000000000000000000000000000..2562b89cf491909665cb86b353daf9ecb286c67c
--- /dev/null
+++ b/results/train/ellipse/problem_2652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa5cd8d15a54a02c53292049f71a28eabc77acf8c949d7655b6d42b07c23d57c
+size 204783
diff --git a/results/train/ellipse/problem_2653.png b/results/train/ellipse/problem_2653.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c94b6f8f0581fd05b89a04a1ce96729d0a87e16
--- /dev/null
+++ b/results/train/ellipse/problem_2653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7dfb022b7936d81863614e482d1efc8197ea73e40cd57551bb0d245605386bbc
+size 230998
diff --git a/results/train/ellipse/problem_2659.png b/results/train/ellipse/problem_2659.png
new file mode 100644
index 0000000000000000000000000000000000000000..1eb9f4f51ce6ce8da6b63c4f81dad77b2a93f572
--- /dev/null
+++ b/results/train/ellipse/problem_2659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75f979888e516532555fe36547ff5fbad1c1edbe8a5960c64f6313a2a4252a11
+size 231347
diff --git a/results/train/ellipse/problem_2660.png b/results/train/ellipse/problem_2660.png
new file mode 100644
index 0000000000000000000000000000000000000000..16034886a76d4c92b7af6efc85d514b63ddf730a
--- /dev/null
+++ b/results/train/ellipse/problem_2660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:588a88c046b72646ba0daf78da7cdbbf31f3f272744918772dc3db7b4cc5cba7
+size 213344
diff --git a/results/train/ellipse/problem_2665.png b/results/train/ellipse/problem_2665.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dd82681dfe05a4c05fda21b1cd609c3f4c4d52d
--- /dev/null
+++ b/results/train/ellipse/problem_2665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f79bacf61ed6e11027404e1912f9180cf556f8eece4de240e4990d1d1707b732
+size 214942
diff --git a/results/train/ellipse/problem_2669.png b/results/train/ellipse/problem_2669.png
new file mode 100644
index 0000000000000000000000000000000000000000..970b471d420e7c9513221db83c87e9feaa557268
--- /dev/null
+++ b/results/train/ellipse/problem_2669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:240c0b830d9be2bad0769c790cdfc1a8db716154bfa9b7a2cf6e0022fb65ee49
+size 226823
diff --git a/results/train/ellipse/problem_2670.png b/results/train/ellipse/problem_2670.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6da2cf4f2508da4b290ad8dd9b3f35db9f45ec2
--- /dev/null
+++ b/results/train/ellipse/problem_2670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a1efefb9d3b65eafbd22c27a1d68339aaac2bb835db1af44acd3cafa06d8d57
+size 220113
diff --git a/results/train/ellipse/problem_2671.png b/results/train/ellipse/problem_2671.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7e3572df493cbc500b6cc2535dc2c78c7129dd9
--- /dev/null
+++ b/results/train/ellipse/problem_2671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5087c8380e9b6d48cc8279259be63298758b0979697a11109164155a6f493ae
+size 242032
diff --git a/results/train/ellipse/problem_2672.png b/results/train/ellipse/problem_2672.png
new file mode 100644
index 0000000000000000000000000000000000000000..d480d692dedb61b6413322728c5776b454ef756a
--- /dev/null
+++ b/results/train/ellipse/problem_2672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d685430b2f4fced6db6e8dd35ad8e8f3986d50313da3cea375cd662f4558bca8
+size 241091
diff --git a/results/train/ellipse/problem_2674.png b/results/train/ellipse/problem_2674.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f4fe5408c1b87ed93c89ec5802740cc5a8b308f
--- /dev/null
+++ b/results/train/ellipse/problem_2674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82b791095d685d9d797eae4ae2c927feb745839a21ba467a0b96b89c29a355f6
+size 197193
diff --git a/results/train/ellipse/problem_2678.png b/results/train/ellipse/problem_2678.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c6f8f5a1fcaab3111f65e710a5ac9ac4d41d476
--- /dev/null
+++ b/results/train/ellipse/problem_2678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dba948ee10505997f59fdd80b1a052b950b6a11075a8f5f27b3769100e3c79c
+size 221585
diff --git a/results/train/ellipse/problem_2683.png b/results/train/ellipse/problem_2683.png
new file mode 100644
index 0000000000000000000000000000000000000000..fae264f6e0c5e30b3af89f4024dfbd858ed01cce
--- /dev/null
+++ b/results/train/ellipse/problem_2683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0c73736c9c89959a57e8c4fddf8e59821ef1d96cc80bb9df61072e1131506df
+size 222588
diff --git a/results/train/ellipse/problem_2687.png b/results/train/ellipse/problem_2687.png
new file mode 100644
index 0000000000000000000000000000000000000000..885fb7a7ce547781a13e8d2dbbb05364a876203a
--- /dev/null
+++ b/results/train/ellipse/problem_2687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fcbd6f89e513371f549bdca202b112e25e7824fdc77bd0ce5cd0b2b9bb80fc15
+size 190298
diff --git a/results/train/ellipse/problem_2691.png b/results/train/ellipse/problem_2691.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9dad6397bf5e477e7fad9276dc7630f9130892c
--- /dev/null
+++ b/results/train/ellipse/problem_2691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1144f521b50e9ebe9ed910b493be97e88aba902ee0ded425ece91335f59ba437
+size 212998
diff --git a/results/train/ellipse/problem_2692.png b/results/train/ellipse/problem_2692.png
new file mode 100644
index 0000000000000000000000000000000000000000..62ce8c00029e9056e999c860de4dfe3131640895
--- /dev/null
+++ b/results/train/ellipse/problem_2692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fbc2960da6398336e86e82ac17869123158b4e5d43451fe895bbe47b1e4fba9
+size 225523
diff --git a/results/train/ellipse/problem_2710.png b/results/train/ellipse/problem_2710.png
new file mode 100644
index 0000000000000000000000000000000000000000..575a56296aff7b42b03ab23c8bad9ab5708c0c32
--- /dev/null
+++ b/results/train/ellipse/problem_2710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a07dfbf425e7fb58c665cf7502bbec3af5b5117700ed4ac434832442424c4ea1
+size 222065
diff --git a/results/train/ellipse/problem_2714.png b/results/train/ellipse/problem_2714.png
new file mode 100644
index 0000000000000000000000000000000000000000..92aa3f19c9bba387f88e3730337f0502d6330b88
--- /dev/null
+++ b/results/train/ellipse/problem_2714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71f0b84d46a91680ad22b1e569a62b633050fd59cfb7eec34162eed8c5fbb6b4
+size 211370
diff --git a/results/train/ellipse/problem_2717.png b/results/train/ellipse/problem_2717.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bf00ebe972079bbaace77608b60db5e99a17e73
--- /dev/null
+++ b/results/train/ellipse/problem_2717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62cf011bfeea2574188d99d781e09eb715b45517458dc78155fe32b6e0075039
+size 213557
diff --git a/results/train/ellipse/problem_2720.png b/results/train/ellipse/problem_2720.png
new file mode 100644
index 0000000000000000000000000000000000000000..14ee6927448c28fdff1302c75795b377e3ac0dea
--- /dev/null
+++ b/results/train/ellipse/problem_2720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba14d3d84f616d78375363ff01e9351d492693ef79b54ab811d344f2c1ad4241
+size 228726
diff --git a/results/train/ellipse/problem_2727.png b/results/train/ellipse/problem_2727.png
new file mode 100644
index 0000000000000000000000000000000000000000..69e867c0661c13bfaeb6056fc0b119fea23220ec
--- /dev/null
+++ b/results/train/ellipse/problem_2727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:816fafe9663972841567bf9a05b3bdc64a55958cae64b9bad0f32275418c757e
+size 188329
diff --git a/results/train/ellipse/problem_2730.png b/results/train/ellipse/problem_2730.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e7ab2ca50d492e5da3455e345721451c208fe50
--- /dev/null
+++ b/results/train/ellipse/problem_2730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2491bf9fe060fbe6ce54d73de1df65bfeb5cd76a58553df16feb82dc6ff63eb
+size 224644
diff --git a/results/train/ellipse/problem_2734.png b/results/train/ellipse/problem_2734.png
new file mode 100644
index 0000000000000000000000000000000000000000..345c0b116c6ed07b52d8f9e619bb3a52243e59f0
--- /dev/null
+++ b/results/train/ellipse/problem_2734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4811810a15da318e56e6554a381adedb8ce0fe8d4039c45edc2bf7293ac5b854
+size 215275
diff --git a/results/train/ellipse/problem_2735.png b/results/train/ellipse/problem_2735.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac3ffe6609cc8620b23c35b3d0221e4a0ea14cce
--- /dev/null
+++ b/results/train/ellipse/problem_2735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7ba00135f27b0c6c4be468c3272a00f1650fd36857b19e28088ac2c3f67423b
+size 214529
diff --git a/results/train/ellipse/problem_2739.png b/results/train/ellipse/problem_2739.png
new file mode 100644
index 0000000000000000000000000000000000000000..f06c7bd2d365386a33e7cc65fc57dc1e5744a881
--- /dev/null
+++ b/results/train/ellipse/problem_2739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94a607b57e7dd80dceef1e91361de1520b514d171be560e1bda07e34104844a0
+size 228827
diff --git a/results/train/ellipse/problem_2740.png b/results/train/ellipse/problem_2740.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc528e6df2af3be4ca3fad5506b726d59500309d
--- /dev/null
+++ b/results/train/ellipse/problem_2740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2eaf8ed2f031bd7e17d9dfac5e9a8325b93771d77307e0fc391a3fe61414c815
+size 223289
diff --git a/results/train/ellipse/problem_2741.png b/results/train/ellipse/problem_2741.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f6bb57becbb0e684afce457445e01aad78002e0
--- /dev/null
+++ b/results/train/ellipse/problem_2741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:061225204b128eeebb8ade886fccae3ba62d50df1fefffca3885dea992db9815
+size 209077
diff --git a/results/train/ellipse/problem_2742.png b/results/train/ellipse/problem_2742.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e9dee830d413c86d6ba285c24b400df440d64db
--- /dev/null
+++ b/results/train/ellipse/problem_2742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21638942b2f7a05c2ed5f1457866aa94ccf372e338a8d707872078ba8f626b1b
+size 189564
diff --git a/results/train/ellipse/problem_2743.png b/results/train/ellipse/problem_2743.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b32c90af17ec2bc5ab1cef812f8c39f93fea492
--- /dev/null
+++ b/results/train/ellipse/problem_2743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:366f9e9b1a248b8add94a19360075889466b08f8da95a2728efc833f2f97baef
+size 229609
diff --git a/results/train/ellipse/problem_2745.png b/results/train/ellipse/problem_2745.png
new file mode 100644
index 0000000000000000000000000000000000000000..88e58c1dc225fc80eda462bca89b1fc5ca21629e
--- /dev/null
+++ b/results/train/ellipse/problem_2745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea2f5b4a133bee3a05d5bcb823cadb25129e36c3012d818d61eac3f024a985d1
+size 206774
diff --git a/results/train/ellipse/problem_2750.png b/results/train/ellipse/problem_2750.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e3662ae259d5500dbd949e3818dc250aa513aaa
--- /dev/null
+++ b/results/train/ellipse/problem_2750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32131b67ea2ea7b634bbbbc8adf98b0b166769b6baf67aef9190c3b873edd418
+size 227047
diff --git a/results/train/ellipse/problem_2754.png b/results/train/ellipse/problem_2754.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c035b8dc04ce95ff533d640e3a89289bf40eb43
--- /dev/null
+++ b/results/train/ellipse/problem_2754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74f9bbc2ff3adfaf1c31c478da05698fffad723cdfe45fc753c91d2e8f459e44
+size 241656
diff --git a/results/train/ellipse/problem_2755.png b/results/train/ellipse/problem_2755.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc64b43352c57d553f0cc09a53d10214d81b53a5
--- /dev/null
+++ b/results/train/ellipse/problem_2755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b756c61e76835682e647ca017cfef151884a3bc93bd1ee4096c6795e4d32253a
+size 187490
diff --git a/results/train/ellipse/problem_2759.png b/results/train/ellipse/problem_2759.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fc77eb7e2432e14542f0295aaed42e222d170f1
--- /dev/null
+++ b/results/train/ellipse/problem_2759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1199194881f75e6a5588adfab75dfd7e9719e1e1d58fde9870cbfc0a7f881cc
+size 219240
diff --git a/results/train/ellipse/problem_2760.png b/results/train/ellipse/problem_2760.png
new file mode 100644
index 0000000000000000000000000000000000000000..f319e1db05d2d00610dc36c40c6a00beee73fe00
--- /dev/null
+++ b/results/train/ellipse/problem_2760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:698c2b1f0d718cfcccad1a57c851a77bbde9793b19a58514b724c63a55b12489
+size 208278
diff --git a/results/train/ellipse/problem_2764.png b/results/train/ellipse/problem_2764.png
new file mode 100644
index 0000000000000000000000000000000000000000..549de6d73f0db220269347e07230ec0367b19629
--- /dev/null
+++ b/results/train/ellipse/problem_2764.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4de8fe654cefc0c92cdee65c0fb97076b4b99e792cd46671591a743508f2d7fb
+size 225904
diff --git a/results/train/ellipse/problem_2766.png b/results/train/ellipse/problem_2766.png
new file mode 100644
index 0000000000000000000000000000000000000000..e44b6a863651409d582fc172b99de1b34672bf8e
--- /dev/null
+++ b/results/train/ellipse/problem_2766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04a2eb1b1363c0e1b6d6e0d9b765f8727374fa9e3c7c4a0a8d18a8c0daa98ac8
+size 183540
diff --git a/results/train/ellipse/problem_2767.png b/results/train/ellipse/problem_2767.png
new file mode 100644
index 0000000000000000000000000000000000000000..84de6295be1ef1f46783d478f4beccc5265eb503
--- /dev/null
+++ b/results/train/ellipse/problem_2767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:602849342d33c420ca141257b204d1c1cae767301b1df45b45c36c0093275fb9
+size 224649
diff --git a/results/train/ellipse/problem_2770.png b/results/train/ellipse/problem_2770.png
new file mode 100644
index 0000000000000000000000000000000000000000..39c9436ed007fa438209ce464734447c6a000487
--- /dev/null
+++ b/results/train/ellipse/problem_2770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5e585688f291066a5a9507a0a48c34d41af9a7e978879d070d6a3d4cb5c865d
+size 226727
diff --git a/results/train/ellipse/problem_2774.png b/results/train/ellipse/problem_2774.png
new file mode 100644
index 0000000000000000000000000000000000000000..34f2b480159f20de61fbd8fbf122cb30027514ca
--- /dev/null
+++ b/results/train/ellipse/problem_2774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e1028e5abcc276721c15bf6cce0eb357c11e2d5cd59d769ef62d4fde44c6881
+size 223138
diff --git a/results/train/ellipse/problem_2776.png b/results/train/ellipse/problem_2776.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c8c7ff3195170aee487b09e6067506a2bcd3429
--- /dev/null
+++ b/results/train/ellipse/problem_2776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4605cbe306c9ca32d802fe368dfa9d3cbb297fbfbf4ecb72be19462473f71c71
+size 220218
diff --git a/results/train/ellipse/problem_2780.png b/results/train/ellipse/problem_2780.png
new file mode 100644
index 0000000000000000000000000000000000000000..107be384cfae18ed4170fe87ac409d77e3d25360
--- /dev/null
+++ b/results/train/ellipse/problem_2780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a65945cec9a5a33942db1c23b511a571a663d6ac838493340d0c770ebfa3a8c1
+size 232876
diff --git a/results/train/ellipse/problem_2787.png b/results/train/ellipse/problem_2787.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4c5a7e80155c932863ab0d532f85a135cfd491f
--- /dev/null
+++ b/results/train/ellipse/problem_2787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ca8cea0ed3da6ddfe4e78d6a4ae16d1a2ffdfbf3cad808daa2d468302cb15d7
+size 230213
diff --git a/results/train/ellipse/problem_2795.png b/results/train/ellipse/problem_2795.png
new file mode 100644
index 0000000000000000000000000000000000000000..d56014654fd7706011e65da3ed399ff0b18235e2
--- /dev/null
+++ b/results/train/ellipse/problem_2795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1f017f86837812b2e6b4941ed1650ee655174d75ca7f0e51a73069153950218
+size 232067
diff --git a/results/train/ellipse/problem_2797.png b/results/train/ellipse/problem_2797.png
new file mode 100644
index 0000000000000000000000000000000000000000..973a54b5d1641b79ae7d07dd19296da59cebacf8
--- /dev/null
+++ b/results/train/ellipse/problem_2797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:914f7d186eafa68110c443d914944867242024f876d2b21d316084f30afb5e53
+size 231047
diff --git a/results/train/ellipse/problem_2798.png b/results/train/ellipse/problem_2798.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f2c9fee371389483f13dfe56aebbff6330e7472
--- /dev/null
+++ b/results/train/ellipse/problem_2798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d9e2f332ebf378526c63bff6d6986a6cb6ae70e6402bd42a68877940fa43f63
+size 213148
diff --git a/results/train/ellipse/problem_2799.png b/results/train/ellipse/problem_2799.png
new file mode 100644
index 0000000000000000000000000000000000000000..871fe3bbdb67d00312962ce3779bc8cfd4e53386
--- /dev/null
+++ b/results/train/ellipse/problem_2799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:949cc7009104659ffb2a5e1d6fc92dcfbfe46411650e3c4a64ae3a9d348b9c15
+size 186076
diff --git a/results/train/ellipse/problem_2800.png b/results/train/ellipse/problem_2800.png
new file mode 100644
index 0000000000000000000000000000000000000000..b68a32c9c20b21d55d5c416c4a1016716f728921
--- /dev/null
+++ b/results/train/ellipse/problem_2800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b148b186e9b01eab97ff8cb41a13b29c75f5d6fdd70696a083866dbc88db598b
+size 223859
diff --git a/results/train/ellipse/problem_2801.png b/results/train/ellipse/problem_2801.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fbea44ed163c3ca26c1835ad4549d30bf14a53d
--- /dev/null
+++ b/results/train/ellipse/problem_2801.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:404129b91682fec6f12afa1ca2e3a3b769c25af03494e1cd18dc438baf75c8e3
+size 233291
diff --git a/results/train/ellipse/problem_2805.png b/results/train/ellipse/problem_2805.png
new file mode 100644
index 0000000000000000000000000000000000000000..29c1bb7ef3a3d20dff2276461960cbaa01d788d8
--- /dev/null
+++ b/results/train/ellipse/problem_2805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87d2508ca9e39d2cda7a24c27fa192d2610a119ac2ad07bb9dd2921639365cbc
+size 227661
diff --git a/results/train/ellipse/problem_2808.png b/results/train/ellipse/problem_2808.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ab7b9f6d3732be1c1aca7e06003e8c17d5ca7e9
--- /dev/null
+++ b/results/train/ellipse/problem_2808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85298a869526afea8f7d4acfea7e894c911cdc526954952aa7f6df91dfa84c11
+size 222549
diff --git a/results/train/ellipse/problem_2810.png b/results/train/ellipse/problem_2810.png
new file mode 100644
index 0000000000000000000000000000000000000000..b80c0e93b4acff3c496f476ac4d3bf13bc39010e
--- /dev/null
+++ b/results/train/ellipse/problem_2810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e02466adf4bb17267555f38bfcdbe44e61a4eb5ff4f6bc079da33fe544339a6
+size 209250
diff --git a/results/train/ellipse/problem_2811.png b/results/train/ellipse/problem_2811.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cd5540b0184de8c556fe10c6ee682641f7fb96a
--- /dev/null
+++ b/results/train/ellipse/problem_2811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f8fe1a6a24933d4265856e6383ccb2bfc1a032d104e69ac94431714ef422c51
+size 232811
diff --git a/results/train/ellipse/problem_2815.png b/results/train/ellipse/problem_2815.png
new file mode 100644
index 0000000000000000000000000000000000000000..698dd6c4947efbcccc183dd4a74e0ac7b0946004
--- /dev/null
+++ b/results/train/ellipse/problem_2815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:daf62ddf1aff09339217dc2cdd74464e558e2110538d58dc1195dd58545e3b4b
+size 217799
diff --git a/results/train/ellipse/problem_2816.png b/results/train/ellipse/problem_2816.png
new file mode 100644
index 0000000000000000000000000000000000000000..f062c7bb5bc2174fd69f17950b58df9d724bb26b
--- /dev/null
+++ b/results/train/ellipse/problem_2816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44f62324d3e7bda5ff728e28aaa003f452358463247c28e346cd995c749a595b
+size 230605
diff --git a/results/train/ellipse/problem_2828.png b/results/train/ellipse/problem_2828.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d710f71bb81e88be62dd49caf1d34ee6a20a67a
--- /dev/null
+++ b/results/train/ellipse/problem_2828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8ac25ad515fb4afa130af2afebb9beaae5e91612f2b950ba1a91f566fa54eea
+size 214882
diff --git a/results/train/ellipse/problem_2829.png b/results/train/ellipse/problem_2829.png
new file mode 100644
index 0000000000000000000000000000000000000000..6455b5a74998f08578c870652b745046862b07a9
--- /dev/null
+++ b/results/train/ellipse/problem_2829.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf9bebf6157c4cfc81be2cf4601d953894c6b3b0f02a225e431482a65352488f
+size 224529
diff --git a/results/train/ellipse/problem_2831.png b/results/train/ellipse/problem_2831.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b4e31d40c540427ca6b1aa8a04d0fb253db47f7
--- /dev/null
+++ b/results/train/ellipse/problem_2831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fe2610d0d36cb5add8256a21466fa2437c9346be3dd677e2404c94b3b8513aa
+size 213411
diff --git a/results/train/ellipse/problem_2832.png b/results/train/ellipse/problem_2832.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b9618263d89215c83fd573e8b9e81d8bd788046
--- /dev/null
+++ b/results/train/ellipse/problem_2832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8102837f9e3eff849e43d93c29cde42bc2b66f221ef2d4a304f46fdfb4db8726
+size 203266
diff --git a/results/train/ellipse/problem_2859.png b/results/train/ellipse/problem_2859.png
new file mode 100644
index 0000000000000000000000000000000000000000..22be595a60784ecb6be74a494d26c52d287a8933
--- /dev/null
+++ b/results/train/ellipse/problem_2859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01c7c9cea9c8217343719376576fd1bccdb380234246b36f83676b6c1deaac1e
+size 219282
diff --git a/results/train/ellipse/problem_2860.png b/results/train/ellipse/problem_2860.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d06e9a0045c46bf0091b8819aceac050b99cf42
--- /dev/null
+++ b/results/train/ellipse/problem_2860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d51364672012eba23ad72a67e28fb3a5fbf1b7cb5d6b5a5573f814f80387980
+size 243268
diff --git a/results/train/ellipse/problem_2861.png b/results/train/ellipse/problem_2861.png
new file mode 100644
index 0000000000000000000000000000000000000000..66951ac9082ca907735abc4d9cdd2e9a13840700
--- /dev/null
+++ b/results/train/ellipse/problem_2861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df0d9c46721071c6d405bd6be8446e5a771a81817f8b83c94a5fd8e0ad2267e2
+size 230805
diff --git a/results/train/ellipse/problem_2862.png b/results/train/ellipse/problem_2862.png
new file mode 100644
index 0000000000000000000000000000000000000000..c95a68df965636651d63f4c2129dd89f161b08f7
--- /dev/null
+++ b/results/train/ellipse/problem_2862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a958bdc20c5b37b5e308d84114b79ee3498da3fd8db84846ccdcdb45b5e54e9
+size 231519
diff --git a/results/train/ellipse/problem_2867.png b/results/train/ellipse/problem_2867.png
new file mode 100644
index 0000000000000000000000000000000000000000..31839334008163332eab836672d27d3710cd5347
--- /dev/null
+++ b/results/train/ellipse/problem_2867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48dad40ba6f93c36afe6bd37f8a6b9a95941fa3b4d95a06d65d7d84cd8179f14
+size 202031
diff --git a/results/train/ellipse/problem_2869.png b/results/train/ellipse/problem_2869.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc82b4b6d2c117f018e87bb238d52487c2524d90
--- /dev/null
+++ b/results/train/ellipse/problem_2869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd6021b97e7e8a117897412b7e2d3555b3eeefe6b1c719028fa98d7c80efc7e2
+size 195899
diff --git a/results/train/ellipse/problem_2870.png b/results/train/ellipse/problem_2870.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3c5f5e3d65d49d5d15bedbd0da88621671cdfe4
--- /dev/null
+++ b/results/train/ellipse/problem_2870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:574200278dfefd337611406f2e2c4a273c4421669e93f9b4be444dd398a167b3
+size 183805
diff --git a/results/train/ellipse/problem_2882.png b/results/train/ellipse/problem_2882.png
new file mode 100644
index 0000000000000000000000000000000000000000..a98b3e77d12a83a17b15cafa3511797fbc67a57d
--- /dev/null
+++ b/results/train/ellipse/problem_2882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2fd7799869103232536f65db07d07d47fe32e90d5c92603cbbdc1cee4048eef7
+size 247592
diff --git a/results/train/ellipse/problem_2887.png b/results/train/ellipse/problem_2887.png
new file mode 100644
index 0000000000000000000000000000000000000000..36e45531d124066a218a73f6746b5b5cf84563db
--- /dev/null
+++ b/results/train/ellipse/problem_2887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06ff94bc50ccb62ebc505b83f1e788476ed49d013e2f9264585cfb2941da8322
+size 226615
diff --git a/results/train/ellipse/problem_2895.png b/results/train/ellipse/problem_2895.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab3db53711ef1afcff3482c156b921253b4cfb40
--- /dev/null
+++ b/results/train/ellipse/problem_2895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c78c089ef667379a3e07948e5d561ece4a0c61f78b6c6af921cfddcf322a2d4d
+size 186910
diff --git a/results/train/ellipse/problem_2897.png b/results/train/ellipse/problem_2897.png
new file mode 100644
index 0000000000000000000000000000000000000000..e12cee0ba9257f1ae23911840e8db2a1665e29d0
--- /dev/null
+++ b/results/train/ellipse/problem_2897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90493a7338645afa808be57b7cf67d64f8d9eb96ba4904cedf12e17c47095050
+size 196314
diff --git a/results/train/ellipse/problem_2904.png b/results/train/ellipse/problem_2904.png
new file mode 100644
index 0000000000000000000000000000000000000000..f6436b8f7418716aaf6f7755a6c92da5ebb17378
--- /dev/null
+++ b/results/train/ellipse/problem_2904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:906b00ee60bed2f76047e896692eeeff45563862785be72e252dec57b790cde5
+size 214543
diff --git a/results/train/ellipse/problem_2906.png b/results/train/ellipse/problem_2906.png
new file mode 100644
index 0000000000000000000000000000000000000000..32e239f2b9f96fe67de707cea2ce1f2c80312504
--- /dev/null
+++ b/results/train/ellipse/problem_2906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd47494b8fb4eaed3e480939c90470785fca55f3408e8831d2bcdb0afdd0494b
+size 222892
diff --git a/results/train/ellipse/problem_2910.png b/results/train/ellipse/problem_2910.png
new file mode 100644
index 0000000000000000000000000000000000000000..25cdf2fd13ea9f4f2834c72eddd39a7f336e1268
--- /dev/null
+++ b/results/train/ellipse/problem_2910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f5b846ef7300796e12ce5d994e23fd0dfdd2b3f22d08b342710d8a5076e93e8
+size 220661
diff --git a/results/train/ellipse/problem_2911.png b/results/train/ellipse/problem_2911.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ee4054588d3cc5bcefd10abff0c6904a3fd87f5
--- /dev/null
+++ b/results/train/ellipse/problem_2911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3502432c69e788990b62f2c90762bb138ea9047f86a2da4144190c296eab9c6b
+size 201914
diff --git a/results/train/ellipse/problem_2913.png b/results/train/ellipse/problem_2913.png
new file mode 100644
index 0000000000000000000000000000000000000000..222a486e6d8f70733256043241abcd13a697c218
--- /dev/null
+++ b/results/train/ellipse/problem_2913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5acac5554797ae853f87d0623efc67bd989cbe1fc50b44a6b533778c540e4ee6
+size 218706
diff --git a/results/train/ellipse/problem_2916.png b/results/train/ellipse/problem_2916.png
new file mode 100644
index 0000000000000000000000000000000000000000..89ca1d4ebc9415d8c78e34888c795962f6d71310
--- /dev/null
+++ b/results/train/ellipse/problem_2916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea70527505fbdc1bddd24e81cdc6ab4708ab2268c109fcfd84c3b42f35e046b6
+size 223118
diff --git a/results/train/ellipse/problem_2922.png b/results/train/ellipse/problem_2922.png
new file mode 100644
index 0000000000000000000000000000000000000000..175be74b1ff1ffcf0893f5ec174a77b64ade5449
--- /dev/null
+++ b/results/train/ellipse/problem_2922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbf1015cee67b026647812a0f6f6dbceab796b53d55c640fe66d4aa094b7f9a9
+size 229153
diff --git a/results/train/ellipse/problem_2926.png b/results/train/ellipse/problem_2926.png
new file mode 100644
index 0000000000000000000000000000000000000000..879f86c7204cc01c8e50bdc0fe9b301bf694288a
--- /dev/null
+++ b/results/train/ellipse/problem_2926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dab1138e3022ca9e552247b115bae0326fff14ed7aa88dec104c2b507599ff60
+size 228185
diff --git a/results/train/ellipse/problem_2929.png b/results/train/ellipse/problem_2929.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce0b184261a5f078f502b3d821053e92282ff909
--- /dev/null
+++ b/results/train/ellipse/problem_2929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbdda10156f06632271cc02dfd300ba47925ebec51460cd6ae6c53c34ad2ce9e
+size 228858
diff --git a/results/train/ellipse/problem_2935.png b/results/train/ellipse/problem_2935.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c344ad2b85da176f9b826c5e7e448cd70e9b9bc
--- /dev/null
+++ b/results/train/ellipse/problem_2935.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb6dc3fe0e3e8406febb2497f2b30ea8d9ad556c9b7097a449f8903c25b3fe97
+size 217599
diff --git a/results/train/ellipse/problem_2943.png b/results/train/ellipse/problem_2943.png
new file mode 100644
index 0000000000000000000000000000000000000000..58993a1c9dca21e8af5d71947f7605a24827c5c0
--- /dev/null
+++ b/results/train/ellipse/problem_2943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb03e2ba1f5f5d2f068d28ab3d6d567d61a96b72c8d06f46a4f72501e2e9ea9b
+size 218598
diff --git a/results/train/ellipse/problem_2945.png b/results/train/ellipse/problem_2945.png
new file mode 100644
index 0000000000000000000000000000000000000000..65c1ff113b640cf9d743835e04fec9b1f022b04e
--- /dev/null
+++ b/results/train/ellipse/problem_2945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e5619782554883ce206d09d0ecfe4f6eb68b1534d31b4771cd9a67cbc918c8b
+size 227560
diff --git a/results/train/ellipse/problem_2947.png b/results/train/ellipse/problem_2947.png
new file mode 100644
index 0000000000000000000000000000000000000000..085adf7a9e0657614a244bf4a430b26056dba87f
--- /dev/null
+++ b/results/train/ellipse/problem_2947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:205cf520031673e8447996744f37f674bb6b915e38ffced71fa72513b9686370
+size 214460
diff --git a/results/train/ellipse/problem_2956.png b/results/train/ellipse/problem_2956.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae5275c47e0104ea2f42e7b107d9ec55b04c9767
--- /dev/null
+++ b/results/train/ellipse/problem_2956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9db02a0aaae974288753d72473772633d1c10e5af28ee65cf15b0983d5616740
+size 220191
diff --git a/results/train/ellipse/problem_2960.png b/results/train/ellipse/problem_2960.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7744683340179eb6a90ef98f87bd1136049fd51
--- /dev/null
+++ b/results/train/ellipse/problem_2960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0435cd0b12d2c1f9e8959fccdc80c9a7ff9bbabddc4513e9b49ab48b2de114a9
+size 205921
diff --git a/results/train/ellipse/problem_2964.png b/results/train/ellipse/problem_2964.png
new file mode 100644
index 0000000000000000000000000000000000000000..f222e68d48f9b550e905d0c7a6aebc67e9ed22c0
--- /dev/null
+++ b/results/train/ellipse/problem_2964.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c788858a87d54109f279587e7baae81715fd1573f9a30e3f31dc7e8e21d058ee
+size 225453
diff --git a/results/train/ellipse/problem_2968.png b/results/train/ellipse/problem_2968.png
new file mode 100644
index 0000000000000000000000000000000000000000..9238411f6843abc1ffa91561b2c4938947caff30
--- /dev/null
+++ b/results/train/ellipse/problem_2968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6012d7cb50551a2160470f868bb0346da5396c40388a37863c77e8786b3e9af
+size 222036
diff --git a/results/train/ellipse/problem_2969.png b/results/train/ellipse/problem_2969.png
new file mode 100644
index 0000000000000000000000000000000000000000..78033098e53944b91babccdc232ae0595fb3764b
--- /dev/null
+++ b/results/train/ellipse/problem_2969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c00159f58d98c6bc5685e4caf5e568391eae0ad675f155a49394b9a7268eea39
+size 211277
diff --git a/results/train/ellipse/problem_2975.png b/results/train/ellipse/problem_2975.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8f5464691a22ded9fe1973774bd6c35ffbf1966
--- /dev/null
+++ b/results/train/ellipse/problem_2975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:029414b6a0a2ad2bc3c6bdcbebe9fe6d5c1bfcc2acada538815e0b8d5eafc039
+size 218290
diff --git a/results/train/ellipse/problem_2978.png b/results/train/ellipse/problem_2978.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e06e03c692ed3f95a4bb04ff360f32c068264eb
--- /dev/null
+++ b/results/train/ellipse/problem_2978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6aaceb81f7b8968ed6356c6c4b96575afd473c8096afd0ef4ddaa5a24d80751b
+size 222185
diff --git a/results/train/ellipse/problem_2979.png b/results/train/ellipse/problem_2979.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c519f3f290882e5c9904e68c98f88aed5fb6348
--- /dev/null
+++ b/results/train/ellipse/problem_2979.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fba08775518d35cdfbe7a1d3040c48240e70aab1eec4c1e8b66f5b40dd56fdec
+size 188454
diff --git a/results/train/ellipse/problem_2981.png b/results/train/ellipse/problem_2981.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c6b45b3c43099e526b87eeb352d6df8385fbd11
--- /dev/null
+++ b/results/train/ellipse/problem_2981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:981d123632517bd3bccc75544dca02c5f73c8e9d146b95c66e125d03ad8d76af
+size 224434
diff --git a/results/train/ellipse/problem_2982.png b/results/train/ellipse/problem_2982.png
new file mode 100644
index 0000000000000000000000000000000000000000..44b37a3bdbf9b12a9416074cedd7300fd50b00f5
--- /dev/null
+++ b/results/train/ellipse/problem_2982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62c6ca4625f7fb4e3d87030f7158158fac03d902eceb852d6c17e57bd3441291
+size 213722
diff --git a/results/train/ellipse/problem_2989.png b/results/train/ellipse/problem_2989.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4474a9f6f54c1496ff0b59c10f8d71b8022a31d
--- /dev/null
+++ b/results/train/ellipse/problem_2989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73729f1b19b14c884be79e168cd69a02ed3a2cf9c67cb0e6be52699c9607b9ff
+size 191796
diff --git a/results/train/ellipse/problem_2999.png b/results/train/ellipse/problem_2999.png
new file mode 100644
index 0000000000000000000000000000000000000000..90932e7a0ddbbe13c7c53968671144e86dc9fec2
--- /dev/null
+++ b/results/train/ellipse/problem_2999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97db6c21a02d2bf5409820abbb90acdf7fc4a44bd7c748e93ec98e1b802ce214
+size 226994
diff --git a/results/train/ellipse/problem_3008.png b/results/train/ellipse/problem_3008.png
new file mode 100644
index 0000000000000000000000000000000000000000..91b5e601288e723d348ae2b64037d533a5d84277
--- /dev/null
+++ b/results/train/ellipse/problem_3008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c113569876e01cd605a8c7ce5c1515cd7b59c405412799d3200d4ceda00de295
+size 225425
diff --git a/results/train/ellipse/problem_3011.png b/results/train/ellipse/problem_3011.png
new file mode 100644
index 0000000000000000000000000000000000000000..203c5b7669ad7ccf4df8ea4f56a2878987a0aee1
--- /dev/null
+++ b/results/train/ellipse/problem_3011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6164f16faff7b0b772d1f0feed0011da2cdacf9c31b86a66f329c8eecc2cb56
+size 226067
diff --git a/results/train/ellipse/problem_3014.png b/results/train/ellipse/problem_3014.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ebeb7c8f7a08cce9b6c26d847e664d990809ea6
--- /dev/null
+++ b/results/train/ellipse/problem_3014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd0aa35791894f784f1baf5cddd23892da1ebc87d614de59317bd2e0cd50ba42
+size 218601
diff --git a/results/train/ellipse/problem_3016.png b/results/train/ellipse/problem_3016.png
new file mode 100644
index 0000000000000000000000000000000000000000..809e461ad5595d0241e456510a4ed59635556f02
--- /dev/null
+++ b/results/train/ellipse/problem_3016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05be71624e9e9ce9fa49ea150a3a6cfbd6e1b1cd6b47e865cd2da81d21e9d689
+size 227063
diff --git a/results/train/ellipse/problem_3021.png b/results/train/ellipse/problem_3021.png
new file mode 100644
index 0000000000000000000000000000000000000000..fab138ae900074268e23e137069066f5f0cb5f2d
--- /dev/null
+++ b/results/train/ellipse/problem_3021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22b35f80874f8e985010f5c7ed4d0fa831eddbe0ae3d8ac0c43abf4868a958d5
+size 223109
diff --git a/results/train/ellipse/problem_3026.png b/results/train/ellipse/problem_3026.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef978d6a92e1214629e9ad07c5595e00f106319e
--- /dev/null
+++ b/results/train/ellipse/problem_3026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fe9e5a09eb627a1ff1501d4e9d0b9214e66f4e1f1b75cd4f48f33e57946282f
+size 219015
diff --git a/results/train/ellipse/problem_3032.png b/results/train/ellipse/problem_3032.png
new file mode 100644
index 0000000000000000000000000000000000000000..15ea12090a9b7864b541cb3e26210904932b156c
--- /dev/null
+++ b/results/train/ellipse/problem_3032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:431c6f03bd5a63017c380df5219d05c9304cc09fcb4e29e2c0087483334440a5
+size 226388
diff --git a/results/train/ellipse/problem_3033.png b/results/train/ellipse/problem_3033.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecb8e463ba8aff4949006a909fbb41baa3ab96b1
--- /dev/null
+++ b/results/train/ellipse/problem_3033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:beb6ef97aa566f7f863576afb0a312ece003cfc1286a0854a8a2cd19f4faac50
+size 226538
diff --git a/results/train/ellipse/problem_3035.png b/results/train/ellipse/problem_3035.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0627a724061cf259b731301efac6d42b2297007
--- /dev/null
+++ b/results/train/ellipse/problem_3035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:740b8bb48df75babdd52653eb1973b6e51394a42b567f74f1200637977df4f11
+size 235903
diff --git a/results/train/ellipse/problem_3036.png b/results/train/ellipse/problem_3036.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d82ba8eee51bfe5e1786d24eff7c906bfb75792
--- /dev/null
+++ b/results/train/ellipse/problem_3036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c65e77d94f54b84e4885e62fe85eb58d3088ee5e6a0e1fef41a898f9ad26c7a2
+size 190656
diff --git a/results/train/ellipse/problem_3037.png b/results/train/ellipse/problem_3037.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c34a1395ca1a2e4683d578edb369d6bf2331906
--- /dev/null
+++ b/results/train/ellipse/problem_3037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbed9b4edd532ccdd53e1dbcdbec0ab896abe0882ea901d3bbd3240205d1fede
+size 223316
diff --git a/results/train/ellipse/problem_3038.png b/results/train/ellipse/problem_3038.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cfcb3a8e5478210a2bb87238614be85440f5cee
--- /dev/null
+++ b/results/train/ellipse/problem_3038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8ccdb32cb806d637e98c42b55ec9331be0a2b87c8732711f8488175a4a926e8
+size 234122
diff --git a/results/train/ellipse/problem_3047.png b/results/train/ellipse/problem_3047.png
new file mode 100644
index 0000000000000000000000000000000000000000..508f7b7ca03f0317b731238cd1128da55d1f0326
--- /dev/null
+++ b/results/train/ellipse/problem_3047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:911171accb043e2e0d5e812fe41fca03a2091c915a279b8edae0e50db2209700
+size 213803
diff --git a/results/train/ellipse/problem_3050.png b/results/train/ellipse/problem_3050.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd8e219b696b9a4e1c2cd0147d34a5c5201ca873
--- /dev/null
+++ b/results/train/ellipse/problem_3050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:418d0c0f219ac73b3eca4282d3761bcba3e6110401a37a2ec16c9b160586ccf1
+size 214157
diff --git a/results/train/ellipse/problem_3053.png b/results/train/ellipse/problem_3053.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4106f340323c721e36f455bff130576de5e0856
--- /dev/null
+++ b/results/train/ellipse/problem_3053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eef715d676d491f84e7a068400a120c8dadc1e50b8d557954c0ab31a255db1d7
+size 216737
diff --git a/results/train/ellipse/problem_3059.png b/results/train/ellipse/problem_3059.png
new file mode 100644
index 0000000000000000000000000000000000000000..399feb31fe012deefcd363fae299ea2d4a84f3bf
--- /dev/null
+++ b/results/train/ellipse/problem_3059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63c43acbe18dcc929387cb394c6e6d0917770478accf3e02ece99993d61510b8
+size 187980
diff --git a/results/train/ellipse/problem_3063.png b/results/train/ellipse/problem_3063.png
new file mode 100644
index 0000000000000000000000000000000000000000..517c93530c726f39ff398c1445fc19cbe9f06af2
--- /dev/null
+++ b/results/train/ellipse/problem_3063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7b348b9a14e28a9998d59e84fad2e4dee672714be04a513857a30de5f24f7cf
+size 218061
diff --git a/results/train/ellipse/problem_3068.png b/results/train/ellipse/problem_3068.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e136090887bf81ea257b9a9c47ce91f69064176
--- /dev/null
+++ b/results/train/ellipse/problem_3068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63b4e887b814a78f52eeb65f3563accdae1f0c50806373d0b98106109c902dc8
+size 196690
diff --git a/results/train/ellipse/problem_3074.png b/results/train/ellipse/problem_3074.png
new file mode 100644
index 0000000000000000000000000000000000000000..d205cc984b8e63618b8b20e6dcabee74bd90c1a3
--- /dev/null
+++ b/results/train/ellipse/problem_3074.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85fcae14084d1d484f2a854bba0919c15f8574c95006a2f5dbfeb4875a6d36a1
+size 231688
diff --git a/results/train/ellipse/problem_3079.png b/results/train/ellipse/problem_3079.png
new file mode 100644
index 0000000000000000000000000000000000000000..883736146c13aa85f4502e4d5a46f22279c87570
--- /dev/null
+++ b/results/train/ellipse/problem_3079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:857f4a90e506f81ee36e68948d39afd70c31ca1b4d2447d8e38fd5363a012417
+size 220056
diff --git a/results/train/ellipse/problem_3082.png b/results/train/ellipse/problem_3082.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed7b590cf89d89b1604073d9cb501b3cd9e3f7fe
--- /dev/null
+++ b/results/train/ellipse/problem_3082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0716a230de2acc7531d4783c57c65ace65d181adee3b802f209a122322bf1ad8
+size 222300
diff --git a/results/train/ellipse/problem_3083.png b/results/train/ellipse/problem_3083.png
new file mode 100644
index 0000000000000000000000000000000000000000..f28a2aa2972e3ba6bee042052e74c3d6eb72c257
--- /dev/null
+++ b/results/train/ellipse/problem_3083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cab7ac84a3673d040178089ef79efc19e6c48d599ba4fdd32bcc0b8b5e165e8a
+size 242538
diff --git a/results/train/ellipse/problem_3085.png b/results/train/ellipse/problem_3085.png
new file mode 100644
index 0000000000000000000000000000000000000000..17bd6527c05d8f176c9c7ef700a383779555a9e2
--- /dev/null
+++ b/results/train/ellipse/problem_3085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56e71bafa50da21073610faf672338d14d9534c2191e027f49ffa0ea48adad29
+size 220962
diff --git a/results/train/ellipse/problem_3093.png b/results/train/ellipse/problem_3093.png
new file mode 100644
index 0000000000000000000000000000000000000000..f67fab6c1ef3f87b93e1261b8511c42834f5d662
--- /dev/null
+++ b/results/train/ellipse/problem_3093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca0104080f0352514079a0d2152ee13a1ca71f096d8d1a7da42ae104b296059c
+size 181857
diff --git a/results/train/ellipse/problem_3098.png b/results/train/ellipse/problem_3098.png
new file mode 100644
index 0000000000000000000000000000000000000000..407c5caec2ca84e5904d87fbb7221b1705f084b8
--- /dev/null
+++ b/results/train/ellipse/problem_3098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76452702b5e32c84e5c4b220624982c2e2261e260ce154d561bc4322cef3761e
+size 225080
diff --git a/results/train/ellipse/problem_3108.png b/results/train/ellipse/problem_3108.png
new file mode 100644
index 0000000000000000000000000000000000000000..33f9499bc0572cd20e50a786da8e9bbfa8750e09
--- /dev/null
+++ b/results/train/ellipse/problem_3108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb8b6e37e183a869c63d1f19a4e00f1e47e99d6cf176ba8d25e921bb1a61f10c
+size 237479
diff --git a/results/train/ellipse/problem_3119.png b/results/train/ellipse/problem_3119.png
new file mode 100644
index 0000000000000000000000000000000000000000..e95668d75c3f2c0301c0cf1c9c56ea80344b2587
--- /dev/null
+++ b/results/train/ellipse/problem_3119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:750975963c3b94b01b6d8ebd4a4230f8e2fbfb83be59ad9965504837a13ffd5e
+size 223193
diff --git a/results/train/ellipse/problem_3120.png b/results/train/ellipse/problem_3120.png
new file mode 100644
index 0000000000000000000000000000000000000000..be7794b0f034d4f84490369c65654f00379e0a75
--- /dev/null
+++ b/results/train/ellipse/problem_3120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e4d234b3fd3642b46f5356dac13dbd37b99a240d36f816c7584e82f6c472368
+size 190017
diff --git a/results/train/ellipse/problem_3122.png b/results/train/ellipse/problem_3122.png
new file mode 100644
index 0000000000000000000000000000000000000000..9633b069649f208964e7fdbaa1708d879112a08b
--- /dev/null
+++ b/results/train/ellipse/problem_3122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bf6cb3cce3bdaf4e35f5e00bca602cd295e0b871284ce12ca035a7158147714
+size 234429
diff --git a/results/train/ellipse/problem_3123.png b/results/train/ellipse/problem_3123.png
new file mode 100644
index 0000000000000000000000000000000000000000..62c9b8fa1b08b084ef382d96ea4a8db11a2828c1
--- /dev/null
+++ b/results/train/ellipse/problem_3123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c9608a00b41b8cc45d55f3093fcc21942fb16d8a9de41429f45277b111e657e
+size 213220
diff --git a/results/train/ellipse/problem_3131.png b/results/train/ellipse/problem_3131.png
new file mode 100644
index 0000000000000000000000000000000000000000..e14712001092de8378db723ade10a5c84b69d039
--- /dev/null
+++ b/results/train/ellipse/problem_3131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e554d69e37b8b9b34f3db8c3821d57afd71d827a4dff7e6960d605dd6d8ee7e
+size 269696
diff --git a/results/train/ellipse/problem_3137.png b/results/train/ellipse/problem_3137.png
new file mode 100644
index 0000000000000000000000000000000000000000..1056a154c7a25ff4360b2f9100587a179d2f8238
--- /dev/null
+++ b/results/train/ellipse/problem_3137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72e814aa38db14670fb4c39096844b1866ca8853638c1dd57d20ddb890f1959a
+size 193674
diff --git a/results/train/ellipse/problem_3139.png b/results/train/ellipse/problem_3139.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f5d6da3fda3ab49d150fee7c97f85ccab96dcfa
--- /dev/null
+++ b/results/train/ellipse/problem_3139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a467a5bace663735329d52c9f0daff2c4b4afd4135d1ed86a24a362b37c9814
+size 238266
diff --git a/results/train/ellipse/problem_3144.png b/results/train/ellipse/problem_3144.png
new file mode 100644
index 0000000000000000000000000000000000000000..af9ef7a3dbb87bf2eb968f5a872a2d85c0f82a00
--- /dev/null
+++ b/results/train/ellipse/problem_3144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae20d1b2af669d495213efed27ffee667aa08c1dfd002857ee427afcfeba5c44
+size 231131
diff --git a/results/train/ellipse/problem_3149.png b/results/train/ellipse/problem_3149.png
new file mode 100644
index 0000000000000000000000000000000000000000..075ddff91c0933d023120216b65f4ec7857cd6b9
--- /dev/null
+++ b/results/train/ellipse/problem_3149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84f6c1fdf2d71a7ed2e6883d9b8a4b49713fa1b33e5054886127373299ebcf3f
+size 222442
diff --git a/results/train/ellipse/problem_3150.png b/results/train/ellipse/problem_3150.png
new file mode 100644
index 0000000000000000000000000000000000000000..08b9f1160df00868b57ae855b290f56c2ca98ac1
--- /dev/null
+++ b/results/train/ellipse/problem_3150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0923cf19cb15c659ad13907ca197b24815106619fa0521e672620b4e4a4c5fe1
+size 222098
diff --git a/results/train/ellipse/problem_3154.png b/results/train/ellipse/problem_3154.png
new file mode 100644
index 0000000000000000000000000000000000000000..92a8d1889f0ba404cdd4a8589a5c31e9d850ca84
--- /dev/null
+++ b/results/train/ellipse/problem_3154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6650f5e8522f0d5d9a79f92b11471f4db16665416bc6ff16745e8edbe4c26c98
+size 229434
diff --git a/results/train/ellipse/problem_3156.png b/results/train/ellipse/problem_3156.png
new file mode 100644
index 0000000000000000000000000000000000000000..13031ceeb8e5eff486e0fdc8fc63dd9f757276ee
--- /dev/null
+++ b/results/train/ellipse/problem_3156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff329c29fa1b225f94ea70fcd3a8145f2b485c719ff437da9f73b0808c23a9c4
+size 221795
diff --git a/results/train/ellipse/problem_3161.png b/results/train/ellipse/problem_3161.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d5adf6f55430039828b7af648e34047a6ad98e4
--- /dev/null
+++ b/results/train/ellipse/problem_3161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a59ba13df9c2e0e8b56f572971a6f2575ba0784a06046f46d85d150eafd836d
+size 216714
diff --git a/results/train/ellipse/problem_3164.png b/results/train/ellipse/problem_3164.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddc420477ed36db12749ec9be1b2da378bfe1808
--- /dev/null
+++ b/results/train/ellipse/problem_3164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6e211ee45dacd1857b7b4cb01b9b292f27400ed3b208ebb453949c13f60cc36
+size 234511
diff --git a/results/train/ellipse/problem_3165.png b/results/train/ellipse/problem_3165.png
new file mode 100644
index 0000000000000000000000000000000000000000..562b7f2fcb88830253d03a84639f3e6e74ff563f
--- /dev/null
+++ b/results/train/ellipse/problem_3165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad838fad688ec7b9287555e68d33f452da45f7146799173c9a4994953ed567e4
+size 222253
diff --git a/results/train/ellipse/problem_3169.png b/results/train/ellipse/problem_3169.png
new file mode 100644
index 0000000000000000000000000000000000000000..2faf0db30960b51bd98544381f2f5c3bf2580696
--- /dev/null
+++ b/results/train/ellipse/problem_3169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22780ac90d83d8df3c66eac18d8b4486238bcf03b51bcea8ac9e9091f5f463a5
+size 217299
diff --git a/results/train/ellipse/problem_3172.png b/results/train/ellipse/problem_3172.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd2eefc005f5622e82c00efff5222da8f9141d1a
--- /dev/null
+++ b/results/train/ellipse/problem_3172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7816030284ea36f9e087bd27c470785877d24b00eb7f5d4099f16dee7c4b51d
+size 215620
diff --git a/results/train/ellipse/problem_3173.png b/results/train/ellipse/problem_3173.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5f51870a8cb51a10d9e9b52948ac883b96bdf9d
--- /dev/null
+++ b/results/train/ellipse/problem_3173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1133b7cfebd9afd7d3f32a86f2bf8d7865b38333a5561da24fcc8c68ffb4e2c6
+size 194300
diff --git a/results/train/ellipse/problem_3174.png b/results/train/ellipse/problem_3174.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d311c638839aa5cdd94d28949a300e19c348482
--- /dev/null
+++ b/results/train/ellipse/problem_3174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be938c8ef4c7afa6febd2b169d743072508fe4ead6102fe8894145ac1cf9a6ba
+size 218389
diff --git a/results/train/ellipse/problem_3182.png b/results/train/ellipse/problem_3182.png
new file mode 100644
index 0000000000000000000000000000000000000000..41a6b0467500d726d7eccfde7ad19af0ad692514
--- /dev/null
+++ b/results/train/ellipse/problem_3182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a507a307396831afe1ca51ad8e9c0569e52d61dd508f724b3940b2c8a812dfca
+size 220844
diff --git a/results/train/ellipse/problem_3183.png b/results/train/ellipse/problem_3183.png
new file mode 100644
index 0000000000000000000000000000000000000000..58e4022941fa14d33db7d9d4cd20cbd755f4c9d5
--- /dev/null
+++ b/results/train/ellipse/problem_3183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5c4bfc53c97b5155e0a88fef8ee626afcad8243de90020bb5b1385857043e0a
+size 216425
diff --git a/results/train/ellipse/problem_3186.png b/results/train/ellipse/problem_3186.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a05c229971cd79c8fb7651c1d344dc410c10b47
--- /dev/null
+++ b/results/train/ellipse/problem_3186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7ae22458416d6dd3dc7a09f68561329f46c818bb2918b8510f96960879eea0a
+size 192421
diff --git a/results/train/ellipse/problem_3192.png b/results/train/ellipse/problem_3192.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc06c7232a636a864de2a41dd56e34b26c84fc4e
--- /dev/null
+++ b/results/train/ellipse/problem_3192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3652762e7746335c0f354a10762a5f1676be72697039121a322976ec8907f2d7
+size 236818
diff --git a/results/train/ellipse/problem_3195.png b/results/train/ellipse/problem_3195.png
new file mode 100644
index 0000000000000000000000000000000000000000..7625d8a263f3125eb889a23e8c9147bd4ebc6424
--- /dev/null
+++ b/results/train/ellipse/problem_3195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8c058b20ba48db939d558bdd52073ab0d5066ed7a5d7723ebbde3faa46cdb00
+size 208498
diff --git a/results/train/ellipse/problem_3196.png b/results/train/ellipse/problem_3196.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b8060bce05e67d9c10bbc63731710112b62608a
--- /dev/null
+++ b/results/train/ellipse/problem_3196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:451f5a94ef4e511592a727996035530804748fe70adcf501197427dc92b74d2c
+size 232648
diff --git a/results/train/ellipse/problem_3208.png b/results/train/ellipse/problem_3208.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d60a8699ad1629c3bd666e9b7b15bdcae3e399f
--- /dev/null
+++ b/results/train/ellipse/problem_3208.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72181d7a8e332cb5bbe1b30b913aa9af109f21a3aba48f993efd3a4c8eb41d66
+size 222991
diff --git a/results/train/ellipse/problem_3211.png b/results/train/ellipse/problem_3211.png
new file mode 100644
index 0000000000000000000000000000000000000000..e509880c742eb6195aeed9825047d8ab5ff1cfe9
--- /dev/null
+++ b/results/train/ellipse/problem_3211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9306a9af1cdf14ea9f7d8f05b31ddd716296aa5bc4f5659748c389bbcb561693
+size 220909
diff --git a/results/train/ellipse/problem_3213.png b/results/train/ellipse/problem_3213.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c383d8f7b5e1d83cec104dc4d51b78cecf44518
--- /dev/null
+++ b/results/train/ellipse/problem_3213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:522b96ce01c9c9624e1544e1b63033a4c39d6a27d2c04ace7ce76c18d028a214
+size 183002
diff --git a/results/train/ellipse/problem_3218.png b/results/train/ellipse/problem_3218.png
new file mode 100644
index 0000000000000000000000000000000000000000..575a56296aff7b42b03ab23c8bad9ab5708c0c32
--- /dev/null
+++ b/results/train/ellipse/problem_3218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a07dfbf425e7fb58c665cf7502bbec3af5b5117700ed4ac434832442424c4ea1
+size 222065
diff --git a/results/train/ellipse/problem_3219.png b/results/train/ellipse/problem_3219.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ae586ef49d078bf7fcef5655e73769be7a2ffde
--- /dev/null
+++ b/results/train/ellipse/problem_3219.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da48953927ceadba51755ce7518a40045ce14fc0943167a1c209225047c9b0c0
+size 209717
diff --git a/results/train/ellipse/problem_3220.png b/results/train/ellipse/problem_3220.png
new file mode 100644
index 0000000000000000000000000000000000000000..779e3b05f263fc4df1e454422afe6ab3f2bfd81c
--- /dev/null
+++ b/results/train/ellipse/problem_3220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:102f0bc909f0b0807b35339cb297fb4faaff277cb25eccc6ef542396f0c26d08
+size 224988
diff --git a/results/train/ellipse/problem_3226.png b/results/train/ellipse/problem_3226.png
new file mode 100644
index 0000000000000000000000000000000000000000..160e19630d761bddd9e74ce7766c963a314870b3
--- /dev/null
+++ b/results/train/ellipse/problem_3226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f598920f15bcb49763b3f9540b5f64794a89052ea10d7e96f68e36ec930267b
+size 192848
diff --git a/results/train/ellipse/problem_3229.png b/results/train/ellipse/problem_3229.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9ae317c1c537daf5fed1803610ead0e23f3b0af
--- /dev/null
+++ b/results/train/ellipse/problem_3229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0ff75c7b396162f4ac277d7c332023ed297f56b593ee60a8f983aafea2dfd20
+size 227676
diff --git a/results/train/ellipse/problem_3230.png b/results/train/ellipse/problem_3230.png
new file mode 100644
index 0000000000000000000000000000000000000000..698ffa9f94ccee76d6aef8d3dcc18df2601b5f65
--- /dev/null
+++ b/results/train/ellipse/problem_3230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9637a18a337c31cfe1f0352b1e0d4428d0d43afec1e3a1bdb330035ede190ff4
+size 190195
diff --git a/results/train/ellipse/problem_3235.png b/results/train/ellipse/problem_3235.png
new file mode 100644
index 0000000000000000000000000000000000000000..91cd3504bc0db32bc60b8502695941611edf6650
--- /dev/null
+++ b/results/train/ellipse/problem_3235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:766f94a078f972620956d15987334811b680db567da7856bd5ae7e6e32b47ada
+size 232046
diff --git a/results/train/ellipse/problem_3236.png b/results/train/ellipse/problem_3236.png
new file mode 100644
index 0000000000000000000000000000000000000000..45a66a29e153b5d2f2a5662b03a8d4c4c1133032
--- /dev/null
+++ b/results/train/ellipse/problem_3236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0f2e9541223ee0a28dc78788d179a56ae5901cad157b8b7d84e17f74f393d38
+size 218079
diff --git a/results/train/ellipse/problem_3240.png b/results/train/ellipse/problem_3240.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bd6a70ac6e1238ca576b18ca45f9a6b934e49c3
--- /dev/null
+++ b/results/train/ellipse/problem_3240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65d1575c6d0b06db0fd6b50e73016e67bb65dba5ed27ff59b270871a73262757
+size 227342
diff --git a/results/train/ellipse/problem_3251.png b/results/train/ellipse/problem_3251.png
new file mode 100644
index 0000000000000000000000000000000000000000..1af1596170fbf0c75a83802645962a469008994c
--- /dev/null
+++ b/results/train/ellipse/problem_3251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e22a988bf71223884ff37c914807967d615f5624cc909cc80caead7222472160
+size 223110
diff --git a/results/train/ellipse/problem_3253.png b/results/train/ellipse/problem_3253.png
new file mode 100644
index 0000000000000000000000000000000000000000..377f247046bc0f1ccefa37ed94776b296885881b
--- /dev/null
+++ b/results/train/ellipse/problem_3253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:720db826201e07326345b908ef802a7312f94a0f2444ff999c86cd8c10f04a81
+size 236947
diff --git a/results/train/ellipse/problem_3263.png b/results/train/ellipse/problem_3263.png
new file mode 100644
index 0000000000000000000000000000000000000000..558b4011dc490f4923dc8923fafa601133777d17
--- /dev/null
+++ b/results/train/ellipse/problem_3263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d44e79b1f1d7c264e648ead5a5c9231c9e55d9fcf09596c766c3dea3b9bfa0f
+size 216794
diff --git a/results/train/ellipse/problem_3265.png b/results/train/ellipse/problem_3265.png
new file mode 100644
index 0000000000000000000000000000000000000000..40d2b4f5599d1dfbacb94b1d8b50bc0ea37aeb99
--- /dev/null
+++ b/results/train/ellipse/problem_3265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c009cd736ebf1849f8ccc875a4f375c32a9f4ab2eaf4d88511392bd3ef142da
+size 227489
diff --git a/results/train/ellipse/problem_3271.png b/results/train/ellipse/problem_3271.png
new file mode 100644
index 0000000000000000000000000000000000000000..3428813b4a5e618a8e84838d836b19a415f12e2a
--- /dev/null
+++ b/results/train/ellipse/problem_3271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f64cd9c52922a01f463111566293fb937adf64290fbac77666ec7326c3d6702
+size 215542
diff --git a/results/train/ellipse/problem_3272.png b/results/train/ellipse/problem_3272.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c65646dcc99b5075a3896b91dd6a45cdcf93493
--- /dev/null
+++ b/results/train/ellipse/problem_3272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c7be7b6d5bff75be3eff0832a8495513e4024225d0359426f5e05898ac3919e
+size 234737
diff --git a/results/train/ellipse/problem_3275.png b/results/train/ellipse/problem_3275.png
new file mode 100644
index 0000000000000000000000000000000000000000..76708236eb55f70dd8ca08335361f3855c68c0da
--- /dev/null
+++ b/results/train/ellipse/problem_3275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:272109587a5e76963c1e20d512f1f91b8d06918caf43be49219da9ff94a6c15a
+size 215374
diff --git a/results/train/ellipse/problem_3280.png b/results/train/ellipse/problem_3280.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2a86a975cb47805b0f7a73f00226a1d53d6c07f
--- /dev/null
+++ b/results/train/ellipse/problem_3280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37a60d8ebf6024077f4f1b7410048c9617912a8b0ab6bf2ba63c152bba7fc8e3
+size 222921
diff --git a/results/train/ellipse/problem_3281.png b/results/train/ellipse/problem_3281.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3a579f7174c3e94f1c7005b23c263d392f4a50b
--- /dev/null
+++ b/results/train/ellipse/problem_3281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:512e89947e13cdb16f62594fa6066fd397ce7f76e569b1581898e061fe80e933
+size 210904
diff --git a/results/train/ellipse/problem_3287.png b/results/train/ellipse/problem_3287.png
new file mode 100644
index 0000000000000000000000000000000000000000..c91c98131a69abc9536dd653d384f1b25f9f5c8a
--- /dev/null
+++ b/results/train/ellipse/problem_3287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09f34059e19b0c619733d6281cdfb0248aa2d9193cbd988082c76b96561a01d8
+size 217155
diff --git a/results/train/ellipse/problem_3288.png b/results/train/ellipse/problem_3288.png
new file mode 100644
index 0000000000000000000000000000000000000000..b956cb7dc948e138a86cd6976ae9f6ecd0dcb132
--- /dev/null
+++ b/results/train/ellipse/problem_3288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e120bea499c2e77a20310c68468da33bb089821152ae332701591a3fe2ff3cf
+size 214189
diff --git a/results/train/ellipse/problem_3291.png b/results/train/ellipse/problem_3291.png
new file mode 100644
index 0000000000000000000000000000000000000000..a32b6d9c5eda1599f9ccae5f37ddcc8338bdab6a
--- /dev/null
+++ b/results/train/ellipse/problem_3291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bca32597cea89c3aef9ed08a43d85594d0444a234d48fd5c0bce36f110cf8d94
+size 220860
diff --git a/results/train/ellipse/problem_3299.png b/results/train/ellipse/problem_3299.png
new file mode 100644
index 0000000000000000000000000000000000000000..13a80ac87c991811df32ca612e4225dcf21c55bd
--- /dev/null
+++ b/results/train/ellipse/problem_3299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c221f88c84ec4eef5a6bc4ac6b3665d5ef0bae01fd34096c887fd2b59f8a8d51
+size 236268
diff --git a/results/train/ellipse/problem_3301.png b/results/train/ellipse/problem_3301.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0e3f3ef663538853784b2f3b9eeb967b0c5836a
--- /dev/null
+++ b/results/train/ellipse/problem_3301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a440d141906f89a263d99f7c0190d136b5e199e8c81516a2e753c3c806121a3
+size 221057
diff --git a/results/train/ellipse/problem_3304.png b/results/train/ellipse/problem_3304.png
new file mode 100644
index 0000000000000000000000000000000000000000..7aff1f37f0f922a7563f687bc06ab6a67ddb2a0a
--- /dev/null
+++ b/results/train/ellipse/problem_3304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfaf05a6e071df427800e6197f6397c83e9ed076d54776e5d672f99f81a5d68f
+size 237896
diff --git a/results/train/ellipse/problem_3310.png b/results/train/ellipse/problem_3310.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a55e9f8bab8bb0f7f0a2418ea32479807ebf056
--- /dev/null
+++ b/results/train/ellipse/problem_3310.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e908299dc5b7eb96920abb5b05a8897e9788c99567e1434a8d742d4e4750396
+size 225140
diff --git a/results/train/ellipse/problem_3313.png b/results/train/ellipse/problem_3313.png
new file mode 100644
index 0000000000000000000000000000000000000000..ede06172c6875c3591d4845bb1041c126984f375
--- /dev/null
+++ b/results/train/ellipse/problem_3313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d6ec6db2bcaa471ffb781b5a978b62a452797e042edec109c3a7458913b2fcc
+size 204516
diff --git a/results/train/ellipse/problem_3314.png b/results/train/ellipse/problem_3314.png
new file mode 100644
index 0000000000000000000000000000000000000000..20b6197d1f8aa579786565c620d1a315af43e345
--- /dev/null
+++ b/results/train/ellipse/problem_3314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59e5e2fb8b652ae7874dc6ceb9b9edb0ffe2a9e1b940267447f2b8510dc20b3e
+size 195170
diff --git a/results/train/ellipse/problem_3317.png b/results/train/ellipse/problem_3317.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e2fd534d07b1a14beadc5e4d880c35c724da1db
--- /dev/null
+++ b/results/train/ellipse/problem_3317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e5c0572100ef3ec4e759314c13d02c357b4b904bd043d42fb5c215c553e54ed
+size 231026
diff --git a/results/train/ellipse/problem_3334.png b/results/train/ellipse/problem_3334.png
new file mode 100644
index 0000000000000000000000000000000000000000..7153f4bf04258665ec15f938c75862662368041f
--- /dev/null
+++ b/results/train/ellipse/problem_3334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1690789c2097e14cc48204a5c5839d2ed6bc86251681a5ac29018aa293d5b2ab
+size 228922
diff --git a/results/train/ellipse/problem_3336.png b/results/train/ellipse/problem_3336.png
new file mode 100644
index 0000000000000000000000000000000000000000..c52fb0d7aef557497cf3dd7876bb9410add6fb9a
--- /dev/null
+++ b/results/train/ellipse/problem_3336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:beec87c74762d3e29ed4aeeea63664c382aaf80158a893c52b5ace1e3fda19a5
+size 190983
diff --git a/results/train/ellipse/problem_3338.png b/results/train/ellipse/problem_3338.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6f9ba2f39b2ec9ad96a537cacab84df765c28cd
--- /dev/null
+++ b/results/train/ellipse/problem_3338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50fd632bb6fafd3aa5b1d9737024ed29ab4ea5a89d1fc9884eb28b25a5129929
+size 219605
diff --git a/results/train/ellipse/problem_3341.png b/results/train/ellipse/problem_3341.png
new file mode 100644
index 0000000000000000000000000000000000000000..f110cc8a8804d6a6f329dce0e69efb4cf04221c1
--- /dev/null
+++ b/results/train/ellipse/problem_3341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02280b738fbd01693fe4a38cc67730bfa874431254557c54bbfcaeb6fd08ecda
+size 230002
diff --git a/results/train/ellipse/problem_3349.png b/results/train/ellipse/problem_3349.png
new file mode 100644
index 0000000000000000000000000000000000000000..c856758476265570460f9ae8fe575468dc13b3d2
--- /dev/null
+++ b/results/train/ellipse/problem_3349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f71c7c6100ca3a9fd148a706637aa61ec6f69df1683b144344cf297e083205ef
+size 222995
diff --git a/results/train/ellipse/problem_3352.png b/results/train/ellipse/problem_3352.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfb87d3d113bea541ae8ce789e11867c3127be00
--- /dev/null
+++ b/results/train/ellipse/problem_3352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1e1cbd16aee12d24aff50119b2eda67f5fa45e41e19c5f131b59f6d51d1a8d6
+size 235042
diff --git a/results/train/ellipse/problem_3353.png b/results/train/ellipse/problem_3353.png
new file mode 100644
index 0000000000000000000000000000000000000000..53fd461b3bb1eb32ae034a783d6a3a0a9f583911
--- /dev/null
+++ b/results/train/ellipse/problem_3353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7aaca5be5aefb46c71310c130b08723a51e1c57df6f8c5514eff5e7894fbdb5d
+size 234958
diff --git a/results/train/ellipse/problem_3355.png b/results/train/ellipse/problem_3355.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ccacf1b3e59eeae53314ca9200ca99ca19592d4
--- /dev/null
+++ b/results/train/ellipse/problem_3355.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:094647b2597674eebf44524643a62ecf20516056cb911d849201e5910fd99e78
+size 217041
diff --git a/results/train/ellipse/problem_3356.png b/results/train/ellipse/problem_3356.png
new file mode 100644
index 0000000000000000000000000000000000000000..991a1e9f893101c0f4a52ea68261d74718a2c6c5
--- /dev/null
+++ b/results/train/ellipse/problem_3356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d295bc803fde229608cbf22a6145c9c8ef872a081a31add2f9ae46a58306ff5
+size 210691
diff --git a/results/train/ellipse/problem_3359.png b/results/train/ellipse/problem_3359.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa438fce80e08c5d2912bdea9de968485e4be622
--- /dev/null
+++ b/results/train/ellipse/problem_3359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a646c7d6f45f568c209fd72b604c9cd14c2febc464e718692d7482afce2304a
+size 216391
diff --git a/results/train/ellipse/problem_3361.png b/results/train/ellipse/problem_3361.png
new file mode 100644
index 0000000000000000000000000000000000000000..758ff7fe273c29d7061ea42b4f6e1314b069eff6
--- /dev/null
+++ b/results/train/ellipse/problem_3361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dce1b607b9922922b63c6a2d75e8a287c9d2e34a0215af52f124ef9d827a47d
+size 228629
diff --git a/results/train/ellipse/problem_3362.png b/results/train/ellipse/problem_3362.png
new file mode 100644
index 0000000000000000000000000000000000000000..e895f490f45336371c54e00f187a98d437d0d2e6
--- /dev/null
+++ b/results/train/ellipse/problem_3362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f856fcaf4d0f78e731208df6077cdc0d20931a7e0ed1fcb8aa31ce226b8f8f33
+size 189827
diff --git a/results/train/ellipse/problem_3372.png b/results/train/ellipse/problem_3372.png
new file mode 100644
index 0000000000000000000000000000000000000000..6086d0b85a7a3066d8cf219b9749cd5405286636
--- /dev/null
+++ b/results/train/ellipse/problem_3372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbb78ce185f4a627236e373d3a92ade8da4e6a176481e5a0dcbffaf59e504a68
+size 211698
diff --git a/results/train/ellipse/problem_3375.png b/results/train/ellipse/problem_3375.png
new file mode 100644
index 0000000000000000000000000000000000000000..01a736828d69c9abd1aaf258492e6f8962c5d632
--- /dev/null
+++ b/results/train/ellipse/problem_3375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc7de3cf18c17b0ed66f8c5045a72ee16582c24642a4d32f6630cea6ea1a4058
+size 228512
diff --git a/results/train/ellipse/problem_3387.png b/results/train/ellipse/problem_3387.png
new file mode 100644
index 0000000000000000000000000000000000000000..0938bbcc8fdf098655a651aae657f365d3c18d55
--- /dev/null
+++ b/results/train/ellipse/problem_3387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4dae3a6a5418065d29b31acdee7f466987dc6fce41ea6dfbb091c370c7e9d3d0
+size 227071
diff --git a/results/train/ellipse/problem_3388.png b/results/train/ellipse/problem_3388.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4735a106ab6b96fff992180f730ce306df5d19d
--- /dev/null
+++ b/results/train/ellipse/problem_3388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47c5d6bfee9319d3fd07cf44680d353f771d27a7e16450086afd17a655025f6b
+size 221261
diff --git a/results/train/ellipse/problem_3390.png b/results/train/ellipse/problem_3390.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf45940cfb00e7ff1957f70035800a408788ee8e
--- /dev/null
+++ b/results/train/ellipse/problem_3390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f67b8d793b33a83a58e4cfab2b6ef7d8f99b3f4cda4ec0abb7e85d2e9e87c99
+size 218165
diff --git a/results/train/ellipse/problem_3396.png b/results/train/ellipse/problem_3396.png
new file mode 100644
index 0000000000000000000000000000000000000000..19116c641666f0a1628fab5c7c8d9677d8dfed60
--- /dev/null
+++ b/results/train/ellipse/problem_3396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:046c8dfe1a0eda539fe8a0d1b4e13f0259a2dafeef81b77a78b0e7c2dcf1dfd3
+size 226038
diff --git a/results/train/ellipse/problem_3397.png b/results/train/ellipse/problem_3397.png
new file mode 100644
index 0000000000000000000000000000000000000000..39dcd7e4528651ce22fc99ffaca2b5fa050c1606
--- /dev/null
+++ b/results/train/ellipse/problem_3397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe5eec3a8d4bcbcdad56a041af4b4ac21bf1068d8c833591520aa3b04aef8182
+size 233403
diff --git a/results/train/ellipse/problem_3401.png b/results/train/ellipse/problem_3401.png
new file mode 100644
index 0000000000000000000000000000000000000000..90414ba24edf772b442c2d81a03cf9d40be02ea8
--- /dev/null
+++ b/results/train/ellipse/problem_3401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fe30d33664b728a6325db1856839487120809bbd973a8c6beadb8843e1330a1
+size 227859
diff --git a/results/train/ellipse/problem_3404.png b/results/train/ellipse/problem_3404.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b1b65fa9bf340925542db94eba41a88f381bf2b
--- /dev/null
+++ b/results/train/ellipse/problem_3404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88efc19018da6e9d3f38e7891c4ce0a17da29c5f5ceeda0ac97c80706cbfcedc
+size 226840
diff --git a/results/train/ellipse/problem_3405.png b/results/train/ellipse/problem_3405.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6dea42069265784368f9935eadbd104fa6cae17
--- /dev/null
+++ b/results/train/ellipse/problem_3405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb3f05f1910ab2d635d3fa0122f31ebb309289f7fea16ff2ebe129f9e42d7ee9
+size 192163
diff --git a/results/train/ellipse/problem_3407.png b/results/train/ellipse/problem_3407.png
new file mode 100644
index 0000000000000000000000000000000000000000..12c0f941592cfc3c3934ba236c33563b3829799f
--- /dev/null
+++ b/results/train/ellipse/problem_3407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c4b5cef707ef3d65e74dfaa300df72b0b2d812c678de6bf045e08955d1f6a33
+size 231223
diff --git a/results/train/ellipse/problem_3417.png b/results/train/ellipse/problem_3417.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f1d4813b1f25812ad9649f4df427f1ac5f6436a
--- /dev/null
+++ b/results/train/ellipse/problem_3417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:215680302481d20e5c081402731e803fe859132aaea629ae3017af051c821e3b
+size 224524
diff --git a/results/train/ellipse/problem_3423.png b/results/train/ellipse/problem_3423.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d207ae116e7631426c6b8710f0aa3b6a20be87d
--- /dev/null
+++ b/results/train/ellipse/problem_3423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5f0e9b30200ad3f2dea07b0020f46f0ed3ec4e2a5e782a2565c1116999aaf7f
+size 230922
diff --git a/results/train/ellipse/problem_3427.png b/results/train/ellipse/problem_3427.png
new file mode 100644
index 0000000000000000000000000000000000000000..44385e54a0570d12d1fc79cd86491704bbe44d15
--- /dev/null
+++ b/results/train/ellipse/problem_3427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ec5dd52c51673fadddf122e7811c3b5cebb098eafaa549fa40ef79a7720c37c
+size 236189
diff --git a/results/train/ellipse/problem_3432.png b/results/train/ellipse/problem_3432.png
new file mode 100644
index 0000000000000000000000000000000000000000..28fe608a2a3e856374d1e5fb419820495580a3f8
--- /dev/null
+++ b/results/train/ellipse/problem_3432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6776f1f789c01ed692c74074ed5d8906ad97b4899c86e9c7691b8ed7fab0e4b
+size 215162
diff --git a/results/train/ellipse/problem_3437.png b/results/train/ellipse/problem_3437.png
new file mode 100644
index 0000000000000000000000000000000000000000..29bce6230d04cbba8b1044d1bf0a7fc72caf9862
--- /dev/null
+++ b/results/train/ellipse/problem_3437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d455094e383e4c4fc95e5f5bdc4c461269b98a4d06cdebac9ade96af13dd184f
+size 195789
diff --git a/results/train/ellipse/problem_3440.png b/results/train/ellipse/problem_3440.png
new file mode 100644
index 0000000000000000000000000000000000000000..96ec9dae3a80f02c34840977633d587105d89591
--- /dev/null
+++ b/results/train/ellipse/problem_3440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd798b01311277046647c02e5a4776a24ff9deca86c527dec49289ceb06a30d2
+size 188238
diff --git a/results/train/ellipse/problem_3444.png b/results/train/ellipse/problem_3444.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8701c56d07f4e717262b6a9db8f43b6028140a3
--- /dev/null
+++ b/results/train/ellipse/problem_3444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3676a135dc51fdf641b5f1e15e8494713fc3ce31ff29e0077769158f777c031
+size 234658
diff --git a/results/train/ellipse/problem_3450.png b/results/train/ellipse/problem_3450.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7eaece1ed163f675b3182d5b80df4f18bd59c41
--- /dev/null
+++ b/results/train/ellipse/problem_3450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8777ffeab10a296bab8ac21730948a5338270b35f3bba8b985ac31e1b8d1499
+size 205719
diff --git a/results/train/ellipse/problem_3452.png b/results/train/ellipse/problem_3452.png
new file mode 100644
index 0000000000000000000000000000000000000000..39135c49282a71573628d58b07183c7f12900090
--- /dev/null
+++ b/results/train/ellipse/problem_3452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40249dbab9648d1847c917061db6caf9186a87c7e52a42f2570dffe937f70f8e
+size 220478
diff --git a/results/train/ellipse/problem_3457.png b/results/train/ellipse/problem_3457.png
new file mode 100644
index 0000000000000000000000000000000000000000..22b2bce5e63e24f8dd1afb5af77be097b5916cd2
--- /dev/null
+++ b/results/train/ellipse/problem_3457.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aefb89c01b34392112f0c2cc11feb51b76a3ff077ba23a52bdb3f7897738c585
+size 219374
diff --git a/results/train/ellipse/problem_3459.png b/results/train/ellipse/problem_3459.png
new file mode 100644
index 0000000000000000000000000000000000000000..53e389790e8d3de949460c3be9a4197d06a158a1
--- /dev/null
+++ b/results/train/ellipse/problem_3459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63ead7853733d46c0dde4d21937f9f1a19baaff30990c968b8ea328e70ded238
+size 199628
diff --git a/results/train/ellipse/problem_3460.png b/results/train/ellipse/problem_3460.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1afd80893ae19f005e1a71a2228557909dca49c
--- /dev/null
+++ b/results/train/ellipse/problem_3460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37f7ab1a6484771d263330c33d8e450d63579e4f781881a0a513a9d034f44985
+size 231052
diff --git a/results/train/ellipse/problem_3464.png b/results/train/ellipse/problem_3464.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd592fd0eb538d5186adb1256a7326aa3f17a4fb
--- /dev/null
+++ b/results/train/ellipse/problem_3464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f549e96f466d1a03f3bd89cab8222d0e806089cf9ba897076bf2ab2524fbc9b1
+size 197147
diff --git a/results/train/ellipse/problem_3465.png b/results/train/ellipse/problem_3465.png
new file mode 100644
index 0000000000000000000000000000000000000000..059e0e8f274410a8850f9c3f3e47b00488f57b2e
--- /dev/null
+++ b/results/train/ellipse/problem_3465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:378a118e8145309fbd34da548818dc26c24b5b59f492ba205555a7fb6e3e1c51
+size 279633
diff --git a/results/train/ellipse/problem_3466.png b/results/train/ellipse/problem_3466.png
new file mode 100644
index 0000000000000000000000000000000000000000..0715cf54a2d47cbb0acd4633342bf1bd9df23839
--- /dev/null
+++ b/results/train/ellipse/problem_3466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3afc4810db5d04e7bf90bc712c7ed09613434a87ad865484d25718747d7d0d16
+size 205381
diff --git a/results/train/ellipse/problem_3469.png b/results/train/ellipse/problem_3469.png
new file mode 100644
index 0000000000000000000000000000000000000000..50ab63251b86e6a8c698aec8ce9a80499aac40d2
--- /dev/null
+++ b/results/train/ellipse/problem_3469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab378804443e758219267620313bf61e178467495010316d52322e89134d178b
+size 218510
diff --git a/results/train/ellipse/problem_3479.png b/results/train/ellipse/problem_3479.png
new file mode 100644
index 0000000000000000000000000000000000000000..78ed135cd0ac6795e9b469fd766d11345b5f2461
--- /dev/null
+++ b/results/train/ellipse/problem_3479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d818f5336f5f4d62251e5e7d62945a827d15c07645853ae70a56cc4895897d66
+size 221031
diff --git a/results/train/ellipse/problem_3483.png b/results/train/ellipse/problem_3483.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ace2663e3aafc2c374f8f68a965dcb41344b1cb
--- /dev/null
+++ b/results/train/ellipse/problem_3483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3f833fa40bfef2bb94997c91079c4c835939d9b84879c9cc4ec05e4aba29bf5
+size 222537
diff --git a/results/train/ellipse/problem_3486.png b/results/train/ellipse/problem_3486.png
new file mode 100644
index 0000000000000000000000000000000000000000..04f84b8f0226369e6ac8d79166e0cf47dc08ede6
--- /dev/null
+++ b/results/train/ellipse/problem_3486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8da145d1df6a7ba62cc28683bf304adda387ad6ba35d69ce6f5c222efb507b13
+size 218041
diff --git a/results/train/ellipse/problem_3488.png b/results/train/ellipse/problem_3488.png
new file mode 100644
index 0000000000000000000000000000000000000000..530f0e596fc557974a3139dc3bbe68c4ddb314bb
--- /dev/null
+++ b/results/train/ellipse/problem_3488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:341fc81f3f8b14e4b108a61cbca3aa129cce5f2f9bf6997408b7b413bcba7c64
+size 226603
diff --git a/results/train/ellipse/problem_3493.png b/results/train/ellipse/problem_3493.png
new file mode 100644
index 0000000000000000000000000000000000000000..6432d01ead4b152a103a1eacc31dad934e86cbd5
--- /dev/null
+++ b/results/train/ellipse/problem_3493.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b30d822c0799e1fd57e9afb64435606f26988fd708ae0129252c24d3010ecbcb
+size 186553
diff --git a/results/train/ellipse/problem_3494.png b/results/train/ellipse/problem_3494.png
new file mode 100644
index 0000000000000000000000000000000000000000..37131141e5e6fada92f0e685acf346635b479562
--- /dev/null
+++ b/results/train/ellipse/problem_3494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:378c6f1c7d879bcbf7f331b3b8a0c93d92f13fc1a0f4c93a6084b5ef79e6fad3
+size 217876
diff --git a/results/train/ellipse/problem_3499.png b/results/train/ellipse/problem_3499.png
new file mode 100644
index 0000000000000000000000000000000000000000..57d8d96a7cab10d9b1639e623030b15e340cb7b3
--- /dev/null
+++ b/results/train/ellipse/problem_3499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23006b1c7b20e49879525d0c151a0e9e5adc38a47896a51d281582b30f7023b4
+size 181558
diff --git a/results/train/ellipse/problem_3508.png b/results/train/ellipse/problem_3508.png
new file mode 100644
index 0000000000000000000000000000000000000000..583fac3f930a33be509e852c04e8c1cf2e460e24
--- /dev/null
+++ b/results/train/ellipse/problem_3508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6150309f9b0b41bc3b275a509c4c82df2a404a8c655cdce632552e049f342983
+size 208918
diff --git a/results/train/ellipse/problem_3512.png b/results/train/ellipse/problem_3512.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0c2da70aacf251639fd8e654108a15e0fc6971c
--- /dev/null
+++ b/results/train/ellipse/problem_3512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d58e6f90fc8319cc5a3a7c27c7b0a435a353fc22755d3b411e07672278d06d54
+size 198076
diff --git a/results/train/ellipse/problem_3523.png b/results/train/ellipse/problem_3523.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0960ebc94a9a686668d87a6c9cf43592389cd0c
--- /dev/null
+++ b/results/train/ellipse/problem_3523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2192ac976f334d0f58398514e1be022a92bb6947622f506b8328dcfb98e89826
+size 230672
diff --git a/results/train/ellipse/problem_3524.png b/results/train/ellipse/problem_3524.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ff3ec13d22215f7b3d4471e4533e767d866c789
--- /dev/null
+++ b/results/train/ellipse/problem_3524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86f56b338dd0ec4a3133fc7cafe5cf7c1fb26d819e3fe96cae7549c5ebfb49ee
+size 219783
diff --git a/results/train/ellipse/problem_3532.png b/results/train/ellipse/problem_3532.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9f026377f2f7559485018df7d41e8b78221b933
--- /dev/null
+++ b/results/train/ellipse/problem_3532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bbbc3f4e5b9a95c82cf5f32aaa66ffd61c49452ed6da40e73b7c24ba383d63d
+size 189465
diff --git a/results/train/ellipse/problem_3538.png b/results/train/ellipse/problem_3538.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d93c15aae4f7f78be7c02e423593d657618a1be
--- /dev/null
+++ b/results/train/ellipse/problem_3538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:163f6693523d35137150fe1947507147ab14704dbff8ba47d03e77db079ce69e
+size 191485
diff --git a/results/train/ellipse/problem_3555.png b/results/train/ellipse/problem_3555.png
new file mode 100644
index 0000000000000000000000000000000000000000..3505c900dd58ab47e9c156bfe2c890174642a29a
--- /dev/null
+++ b/results/train/ellipse/problem_3555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9584dfc4f2f7489c69c3681c7dab2a01e5273c58d675083ab1e5804db7661b2
+size 228890
diff --git a/results/train/ellipse/problem_3567.png b/results/train/ellipse/problem_3567.png
new file mode 100644
index 0000000000000000000000000000000000000000..de552b0a8e9ab562fc04caab0881e9a8e6ebfd08
--- /dev/null
+++ b/results/train/ellipse/problem_3567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be0272942e82e628813503d4104047943e04d445a87cbec2143851f666fcb7ad
+size 225540
diff --git a/results/train/ellipse/problem_3569.png b/results/train/ellipse/problem_3569.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f9f6a1c1bb143970dcea664e7b72d1c7436a8c8
--- /dev/null
+++ b/results/train/ellipse/problem_3569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d22a85559397cee11c5641bac925d3c2bef231024cdc8c6dcc2c7f2e61ea9d2c
+size 191201
diff --git a/results/train/ellipse/problem_3570.png b/results/train/ellipse/problem_3570.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6cf5542de69040317c51fe1e9b2f48508a2466d
--- /dev/null
+++ b/results/train/ellipse/problem_3570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ba8dffd182033e12b39ea12df24666bb8eb47f4b6c417d5ec22ff1865a20fd8
+size 234167
diff --git a/results/train/ellipse/problem_3571.png b/results/train/ellipse/problem_3571.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d3c4fa7320d3139bdb3d6cbca0a5cbb1bc31084
--- /dev/null
+++ b/results/train/ellipse/problem_3571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fc133ab8db76bd3d51b039bfc8ac78f1c93171dfd198f4ec9831fbbe41bd00a
+size 226414
diff --git a/results/train/ellipse/problem_3579.png b/results/train/ellipse/problem_3579.png
new file mode 100644
index 0000000000000000000000000000000000000000..05701f0443827a6a9d0d0561be8958bf266478ee
--- /dev/null
+++ b/results/train/ellipse/problem_3579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f827505c3d1ecaf4fee8f7bece07e6fa92c63eb1a9a66b770e30ced7e0421cb
+size 180990
diff --git a/results/train/ellipse/problem_3582.png b/results/train/ellipse/problem_3582.png
new file mode 100644
index 0000000000000000000000000000000000000000..5896d56f5838ac2c5eb4eff79211f5321fc1c8fa
--- /dev/null
+++ b/results/train/ellipse/problem_3582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50b56f40d64317c00e61347cb3701b658c4446df78e5dd3b4fc7a0874c9fd1e1
+size 195234
diff --git a/results/train/ellipse/problem_3589.png b/results/train/ellipse/problem_3589.png
new file mode 100644
index 0000000000000000000000000000000000000000..354b3d5ed1b8d57c0f64e6715dd28e55c312b084
--- /dev/null
+++ b/results/train/ellipse/problem_3589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47cf2dc8f13ab7e91eb6933feb4b143a476dff16f80d00a8ad6d5ed21d4e4a1a
+size 196545
diff --git a/results/train/ellipse/problem_3596.png b/results/train/ellipse/problem_3596.png
new file mode 100644
index 0000000000000000000000000000000000000000..f52528b1fc57225f7cb5729e82d6c921aa7dac4a
--- /dev/null
+++ b/results/train/ellipse/problem_3596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c7aa56e6f6a72f4d2dcb2878b4dcb73ac3bedb1f543d2a55d14860b594c70b4
+size 190915
diff --git a/results/train/ellipse/problem_3601.png b/results/train/ellipse/problem_3601.png
new file mode 100644
index 0000000000000000000000000000000000000000..243c02424891488a4ec5247272df2887facf0b50
--- /dev/null
+++ b/results/train/ellipse/problem_3601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:500c4e6539b446e465ea290346ec9827af19ca1effef0531548c5363406a9ca8
+size 234170
diff --git a/results/train/ellipse/problem_3603.png b/results/train/ellipse/problem_3603.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfe61059abf4bd216fb9d562e95afe233eb2e1d8
--- /dev/null
+++ b/results/train/ellipse/problem_3603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7433e9eacee99581d62fffad2655b71477351579c1dae67005f92913378934d6
+size 223939
diff --git a/results/train/ellipse/problem_3604.png b/results/train/ellipse/problem_3604.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d7d4c99449f246b046f569359d06bdbb6abfade
--- /dev/null
+++ b/results/train/ellipse/problem_3604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19e4173182380a47726b3bc879e733491074da9c6b4e3118b6ec81f80976b0ba
+size 202920
diff --git a/results/train/ellipse/problem_3610.png b/results/train/ellipse/problem_3610.png
new file mode 100644
index 0000000000000000000000000000000000000000..848f4973bfc5248ae8e152773f2c1f8012066cde
--- /dev/null
+++ b/results/train/ellipse/problem_3610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75538d77abe83ca902e3e3d1a8f97c2aa153f781b518803f7247b4ef77ae5e7b
+size 220315
diff --git a/results/train/ellipse/problem_3629.png b/results/train/ellipse/problem_3629.png
new file mode 100644
index 0000000000000000000000000000000000000000..16603529c64396c8d66def772f3a0d01c3a1e87c
--- /dev/null
+++ b/results/train/ellipse/problem_3629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c58e72529f6c92a6f29bf4a2054b07d2ec6bffc0f77d5fdea27e2f32f6584c75
+size 227479
diff --git a/results/train/ellipse/problem_3634.png b/results/train/ellipse/problem_3634.png
new file mode 100644
index 0000000000000000000000000000000000000000..94a778d6c40bc7c0faf19a094ba126c962977a3e
--- /dev/null
+++ b/results/train/ellipse/problem_3634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ce309fd05c1306fdef40df345d25482df334b9461e8e62d4c56eb098f496938
+size 228817
diff --git a/results/train/ellipse/problem_3638.png b/results/train/ellipse/problem_3638.png
new file mode 100644
index 0000000000000000000000000000000000000000..5de37565e70fae03e0c00492eecef197577f770a
--- /dev/null
+++ b/results/train/ellipse/problem_3638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:467a027fd94c0876ebe53a3efb78db88afd1fc8692cb1017d38c70f104e9b1bb
+size 230242
diff --git a/results/train/ellipse/problem_3651.png b/results/train/ellipse/problem_3651.png
new file mode 100644
index 0000000000000000000000000000000000000000..f68fe5ea39d9259bdd52674822b96f037c79c044
--- /dev/null
+++ b/results/train/ellipse/problem_3651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff3f23e90fbd525e3d6df55662234d16409b27d9ad995199a3d83878c90e76c7
+size 229112
diff --git a/results/train/ellipse/problem_3654.png b/results/train/ellipse/problem_3654.png
new file mode 100644
index 0000000000000000000000000000000000000000..4949db5927c49df6276530f684e67b87aa9a8930
--- /dev/null
+++ b/results/train/ellipse/problem_3654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea6eca3d8f5a71c872911041908df00af661f8d852cb5fa7bdd0ee72bed1f94c
+size 221296
diff --git a/results/train/ellipse/problem_3660.png b/results/train/ellipse/problem_3660.png
new file mode 100644
index 0000000000000000000000000000000000000000..e226d0c8c414caf655122bc2a6d4a56a842c3a9d
--- /dev/null
+++ b/results/train/ellipse/problem_3660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf03ca5a5192221495f52656a0b95a2504ba2631eedaa60a6aa2829e5a4de49d
+size 225502
diff --git a/results/train/ellipse/problem_3661.png b/results/train/ellipse/problem_3661.png
new file mode 100644
index 0000000000000000000000000000000000000000..28dc03b9ff53c8e574ca08a015ae223792777b2c
--- /dev/null
+++ b/results/train/ellipse/problem_3661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c2c9e4d4f7ea81c3cb9d905f1a48a9e26ed1af2cb5d84eaa1306dbba0d3de86
+size 182957
diff --git a/results/train/ellipse/problem_3662.png b/results/train/ellipse/problem_3662.png
new file mode 100644
index 0000000000000000000000000000000000000000..e07b527f622d8091281edf23975f046dbaefd257
--- /dev/null
+++ b/results/train/ellipse/problem_3662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c143e3a6c2ef9b8744f8a04e7e89a9044ab38e5046fc9232b1c33c14340614c1
+size 226270
diff --git a/results/train/ellipse/problem_3674.png b/results/train/ellipse/problem_3674.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9f333b6feebdf5dd14124e840abbf1958ec63a3
--- /dev/null
+++ b/results/train/ellipse/problem_3674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2eb2716f2e70633d6f2d9d53f9318dff1a6403a44706940d71e9219b18dad56
+size 219389
diff --git a/results/train/ellipse/problem_3675.png b/results/train/ellipse/problem_3675.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8c3be2ddc3de1ce870e85651f1ea0ab2033f64e
--- /dev/null
+++ b/results/train/ellipse/problem_3675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:428bfd21d355198930146cd704940512177989f4a0f44b8c7a1bab4f2eef8a3c
+size 229855
diff --git a/results/train/ellipse/problem_3676.png b/results/train/ellipse/problem_3676.png
new file mode 100644
index 0000000000000000000000000000000000000000..79ad30d20a69616cd3b421ded05139ccf1d413ab
--- /dev/null
+++ b/results/train/ellipse/problem_3676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a08df46f267c76e2a6517db3a34236958e34317beaf75c3f3d6df59d2e6b7ec
+size 225984
diff --git a/results/train/ellipse/problem_3681.png b/results/train/ellipse/problem_3681.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e12843e150ebbe25033ffc2b4f84d35d6e842a7
--- /dev/null
+++ b/results/train/ellipse/problem_3681.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a18f1230894621b1d6b1bd5128e77d4701806c161d25f704bc559b7489591551
+size 188748
diff --git a/results/train/ellipse/problem_3683.png b/results/train/ellipse/problem_3683.png
new file mode 100644
index 0000000000000000000000000000000000000000..84246bed4d13a9bad2edf6a1b4ba7b62e9d82442
--- /dev/null
+++ b/results/train/ellipse/problem_3683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:224cd7a2756d136dddfa402e98e6b2391ab3eaebe10163e6d8fb5725c7bbeb98
+size 221467
diff --git a/results/train/ellipse/problem_3689.png b/results/train/ellipse/problem_3689.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a61a49f2cf980aa5bdfae64362774207f7a2f12
--- /dev/null
+++ b/results/train/ellipse/problem_3689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0b00aac4bf7cb406c185394db7cecf4b4190540aa7df8c62204c6d94d9ba646
+size 217957
diff --git a/results/train/ellipse/problem_3690.png b/results/train/ellipse/problem_3690.png
new file mode 100644
index 0000000000000000000000000000000000000000..634c3c6a087b471a8c354883716b24ac1cc5be63
--- /dev/null
+++ b/results/train/ellipse/problem_3690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad43f8c2ae0cd2c510e4ef09b49590326d037e557b274d9c7dc949382d39b8bd
+size 220762
diff --git a/results/train/ellipse/problem_3691.png b/results/train/ellipse/problem_3691.png
new file mode 100644
index 0000000000000000000000000000000000000000..36c8fa507f232442012267a4d71b164d88f85da1
--- /dev/null
+++ b/results/train/ellipse/problem_3691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82642e0fd43246aad14f746dc4d053ef654821caa13f0b4001f2d92fe8bc4970
+size 224376
diff --git a/results/train/ellipse/problem_3696.png b/results/train/ellipse/problem_3696.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bbcf7128b7ccab4dda785ac4ae9f0ee7abe52b8
--- /dev/null
+++ b/results/train/ellipse/problem_3696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4662e977cd58ebd89cc422944247513322e0e07bc2f52e379ff53475aaa7124f
+size 226086
diff --git a/results/train/ellipse/problem_3699.png b/results/train/ellipse/problem_3699.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ca97190c03653f4f4f3c27437d246f88d76ce0b
--- /dev/null
+++ b/results/train/ellipse/problem_3699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58ec819f89b91bc87b76b6f2154d1d461d89e266d8d841fe26a5d7e73a334434
+size 210560
diff --git a/results/train/ellipse/problem_3704.png b/results/train/ellipse/problem_3704.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f35f726904baa61237e03c84abd2106cbbf69c0
--- /dev/null
+++ b/results/train/ellipse/problem_3704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c3596dffb85e687a5c9c58627e1987b7602bc5d806ee9a461f39c40802ee5af
+size 219512
diff --git a/results/train/ellipse/problem_3708.png b/results/train/ellipse/problem_3708.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef102f6da921d7061a6ac06a8b86164abd6a630f
--- /dev/null
+++ b/results/train/ellipse/problem_3708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86bf5eff544eba848e94b6382555e769ca9114600e5cff3257573dc718c0d00e
+size 217363
diff --git a/results/train/ellipse/problem_3709.png b/results/train/ellipse/problem_3709.png
new file mode 100644
index 0000000000000000000000000000000000000000..e32128ceed58822ff6c66c95ce5c1901c5ffa367
--- /dev/null
+++ b/results/train/ellipse/problem_3709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a080053f9a02942d7232f7675127f000aa82a9b7878aba0790daec17694d5f7
+size 197627
diff --git a/results/train/ellipse/problem_3714.png b/results/train/ellipse/problem_3714.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ce79896ee865aa8c8a2d35a31c5111bcc9fc7ee
--- /dev/null
+++ b/results/train/ellipse/problem_3714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4aeada967a62721353bc65b6175a7a44f8dd0e44162117cce71831b5868bb5d7
+size 216137
diff --git a/results/train/ellipse/problem_3715.png b/results/train/ellipse/problem_3715.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3ba2c9c0754ce394d070756306b85638dc3c3be
--- /dev/null
+++ b/results/train/ellipse/problem_3715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90419f3229a5ddbe2676dfa03357d37008e144e348d459ff41bab0bd74a0a0ae
+size 195919
diff --git a/results/train/ellipse/problem_3717.png b/results/train/ellipse/problem_3717.png
new file mode 100644
index 0000000000000000000000000000000000000000..961b33b3662ef2e7d9507c7085d44731df986c6e
--- /dev/null
+++ b/results/train/ellipse/problem_3717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1b86034afdd1e1c4650e72ef5e9f15e8a677a8f9a476091e561272701484aea
+size 219450
diff --git a/results/train/ellipse/problem_3725.png b/results/train/ellipse/problem_3725.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4519947535b0ba6e4244b6b598f3f139ae10ede
--- /dev/null
+++ b/results/train/ellipse/problem_3725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e240bda233ad4268fda07a3ad7e62f12c959dbbc9f15ae8e4836253a3b8b19ef
+size 214787
diff --git a/results/train/ellipse/problem_3726.png b/results/train/ellipse/problem_3726.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a9a577a95ca253b9db27438e21dff645021d35c
--- /dev/null
+++ b/results/train/ellipse/problem_3726.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83499dc4c4f02e8947eefa09e54734666a24edd09825b393b61d3b1ba822b185
+size 227764
diff --git a/results/train/ellipse/problem_3727.png b/results/train/ellipse/problem_3727.png
new file mode 100644
index 0000000000000000000000000000000000000000..02de446b7b2762561ba59c0a4d03b237deeb6273
--- /dev/null
+++ b/results/train/ellipse/problem_3727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11bbb8e1a758d64f25ebdcb0599c40cb7ada7fc69218570731cc4939f12e018f
+size 213752
diff --git a/results/train/ellipse/problem_3736.png b/results/train/ellipse/problem_3736.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b88739bfff110dd68e62133c58334f1240823d8
--- /dev/null
+++ b/results/train/ellipse/problem_3736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9d6f1cb4327687cf2794f475a166efdab6f4723b94f5c620735a3b1af2f9e33
+size 227752
diff --git a/results/train/ellipse/problem_3739.png b/results/train/ellipse/problem_3739.png
new file mode 100644
index 0000000000000000000000000000000000000000..76b5402b8e3d7ae95504309ac91f0417bc5fc0ef
--- /dev/null
+++ b/results/train/ellipse/problem_3739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6aef9e6c9b11d4408012c2918fbb68f2133e4e83daaaabb2feb9f880176cfd4f
+size 229696
diff --git a/results/train/ellipse/problem_3744.png b/results/train/ellipse/problem_3744.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c0fcde39901516fef6ef18ddb4aa6e5db704216
--- /dev/null
+++ b/results/train/ellipse/problem_3744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85d8edee946cd2de88a7549934883fcaf64a39d4818537cb99dec6748e3c7cef
+size 216990
diff --git a/results/train/ellipse/problem_3752.png b/results/train/ellipse/problem_3752.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ae362cae40cd1bad09a9afb5fce78a81ca0ff8a
--- /dev/null
+++ b/results/train/ellipse/problem_3752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:081654968d0e16ca7053bd53362556b1833f6ae98f73d528b866a49c81486fc6
+size 221643
diff --git a/results/train/ellipse/problem_3755.png b/results/train/ellipse/problem_3755.png
new file mode 100644
index 0000000000000000000000000000000000000000..579ee828c5737adaa52de6de1a43591860a1d08a
--- /dev/null
+++ b/results/train/ellipse/problem_3755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43c818be3d10020bfb428ca7ecaad63938a647ecff2e5716bd7d693785edea98
+size 190628
diff --git a/results/train/ellipse/problem_3758.png b/results/train/ellipse/problem_3758.png
new file mode 100644
index 0000000000000000000000000000000000000000..aedb93e4bc23541cdc857e7da9b549dd5ec3054d
--- /dev/null
+++ b/results/train/ellipse/problem_3758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61189294ee4738db218579d4cb99c1d52b706b5e7cc379512e0942e55c5071db
+size 229076
diff --git a/results/train/ellipse/problem_3764.png b/results/train/ellipse/problem_3764.png
new file mode 100644
index 0000000000000000000000000000000000000000..560642a81ac7226263ffceb019f94edcd1a6467a
--- /dev/null
+++ b/results/train/ellipse/problem_3764.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:258fb8e0c347683a0cedc4b9c766cde56a4807285821641e6a4ede7ef1469f0a
+size 232177
diff --git a/results/train/ellipse/problem_3769.png b/results/train/ellipse/problem_3769.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd7e59bf8521fc4907d32af3d1c9036d32ffbcf0
--- /dev/null
+++ b/results/train/ellipse/problem_3769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6138665d68884a3655eb31a67a9de2bc3d781707dfd387f0c39ca8334810495
+size 218428
diff --git a/results/train/ellipse/problem_3773.png b/results/train/ellipse/problem_3773.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d6c67568171e6cbe6a2ed637a8ea2222da20afd
--- /dev/null
+++ b/results/train/ellipse/problem_3773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a09a30130160f1ffc5261ad2cdec3721ac515ab2919e042b096090db1cc9ced8
+size 234085
diff --git a/results/train/ellipse/problem_3780.png b/results/train/ellipse/problem_3780.png
new file mode 100644
index 0000000000000000000000000000000000000000..00a3c4a170ce357e0474c2c6993ec16b763b3f82
--- /dev/null
+++ b/results/train/ellipse/problem_3780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9ceb11773efa343591472155a58c7ade81bcc449f67821d7cad006e9248d21e
+size 221050
diff --git a/results/train/ellipse/problem_3785.png b/results/train/ellipse/problem_3785.png
new file mode 100644
index 0000000000000000000000000000000000000000..081acdba04c86ff1dd8df2247b5be9db768ab81a
--- /dev/null
+++ b/results/train/ellipse/problem_3785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ec5333772d4a2dd50e201aebb44f22fd12ddd8f62a2955051d6c4ffbef057d4
+size 193836
diff --git a/results/train/ellipse/problem_3788.png b/results/train/ellipse/problem_3788.png
new file mode 100644
index 0000000000000000000000000000000000000000..55414fdc3712d169c5205bf6dd21cbe457569a06
--- /dev/null
+++ b/results/train/ellipse/problem_3788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:818b21d74bcbb38699da382c194498c5b68f9f1b3023b9d6d6f0f9bf32caac74
+size 232519
diff --git a/results/train/ellipse/problem_3793.png b/results/train/ellipse/problem_3793.png
new file mode 100644
index 0000000000000000000000000000000000000000..f43f3727901e162f08cc56e47f15550f01f28063
--- /dev/null
+++ b/results/train/ellipse/problem_3793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ef8ee3a73e805f60a69b92092f8ca3df2f3bdbe234bab01c1b1bbf08f41c8b3
+size 223383
diff --git a/results/train/ellipse/problem_3794.png b/results/train/ellipse/problem_3794.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa0f6860b1b7fdb0461b74677098047527840d8a
--- /dev/null
+++ b/results/train/ellipse/problem_3794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d59acaef34d7c0cd213b5cdae784d06b7e0d4777b8687bfed40b1278276394c1
+size 215579
diff --git a/results/train/ellipse/problem_3802.png b/results/train/ellipse/problem_3802.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f1d4813b1f25812ad9649f4df427f1ac5f6436a
--- /dev/null
+++ b/results/train/ellipse/problem_3802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:215680302481d20e5c081402731e803fe859132aaea629ae3017af051c821e3b
+size 224524
diff --git a/results/train/ellipse/problem_3814.png b/results/train/ellipse/problem_3814.png
new file mode 100644
index 0000000000000000000000000000000000000000..60da045e56b51e08c11fd17ea51c126246a87313
--- /dev/null
+++ b/results/train/ellipse/problem_3814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49baa8c28b33f507abdd862e707f1c91313e7f8d31a3ab1de6d59bf9d27f83eb
+size 217088
diff --git a/results/train/ellipse/problem_3820.png b/results/train/ellipse/problem_3820.png
new file mode 100644
index 0000000000000000000000000000000000000000..57deb7b81320f7e6ae2236a146c54f32b1021df8
--- /dev/null
+++ b/results/train/ellipse/problem_3820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:609ee2de67b123b653ab9d3ba3531051ccf5e4d24250a02328fe886aa9ac5701
+size 221042
diff --git a/results/train/ellipse/problem_3826.png b/results/train/ellipse/problem_3826.png
new file mode 100644
index 0000000000000000000000000000000000000000..4423d07467659ab91bb495f14ece47919936bbdf
--- /dev/null
+++ b/results/train/ellipse/problem_3826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef0335c914a1c486f635f7756f2fc7ba878b42fe4df05e1f5f311bfee4933ddb
+size 230245
diff --git a/results/train/ellipse/problem_3831.png b/results/train/ellipse/problem_3831.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f32f608d02a7d2201261b40bc7778e2565f5864
--- /dev/null
+++ b/results/train/ellipse/problem_3831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c623d2fb71f5b74332991c7212b2cc1911effedd44cb6ae8472237bdb9761c5
+size 217576
diff --git a/results/train/ellipse/problem_3832.png b/results/train/ellipse/problem_3832.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2a039008f3cffdf6b08d6b47cd557cbd4ee8872
--- /dev/null
+++ b/results/train/ellipse/problem_3832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fba156275e3f19c3d48e44c9ad43377bc2a12fc78b02a5ed810798d1ae02c98
+size 220259
diff --git a/results/train/ellipse/problem_3837.png b/results/train/ellipse/problem_3837.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f148e3e496a288a7f77150fadb6744fb2879d1b
--- /dev/null
+++ b/results/train/ellipse/problem_3837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0dcc29ab420eb18f014c841e26e01efe1daed3fb7383948ebb861e9d2e3d22e1
+size 215558
diff --git a/results/train/ellipse/problem_3844.png b/results/train/ellipse/problem_3844.png
new file mode 100644
index 0000000000000000000000000000000000000000..456d4021dbded694e5f9d8e3094cb098656797fa
--- /dev/null
+++ b/results/train/ellipse/problem_3844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a73b52209dcf508b922fb087026c1e84cd956cc93a8079b15d9f9d512488e36
+size 221559
diff --git a/results/train/ellipse/problem_3848.png b/results/train/ellipse/problem_3848.png
new file mode 100644
index 0000000000000000000000000000000000000000..adcbd7f5b651fe558c0b658f1ea955ecce9fbbf5
--- /dev/null
+++ b/results/train/ellipse/problem_3848.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b55ecf043c9944ffba433bae8db8c98d959b0c9efe0e916980cd9186dc87b85
+size 206122
diff --git a/results/train/ellipse/problem_3849.png b/results/train/ellipse/problem_3849.png
new file mode 100644
index 0000000000000000000000000000000000000000..5677ff7e6960f85711fabefd1878ca6901fd9acd
--- /dev/null
+++ b/results/train/ellipse/problem_3849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4915daaa2b8c1b88b0c760e0cd07a854697ebc90aa6e705f9e1028f74777f1a4
+size 226872
diff --git a/results/train/ellipse/problem_3851.png b/results/train/ellipse/problem_3851.png
new file mode 100644
index 0000000000000000000000000000000000000000..1533a879a0bfb61b14d26e8a7ca673a37e6d140d
--- /dev/null
+++ b/results/train/ellipse/problem_3851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85a475f0684ac49e6be0ffa9d6027f48e2aba94112d77fb6f2b818bb4328cffb
+size 223297
diff --git a/results/train/ellipse/problem_3858.png b/results/train/ellipse/problem_3858.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2ae3f390d1771ef44bd28d7e358d8c85725f9a3
--- /dev/null
+++ b/results/train/ellipse/problem_3858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:998d90dfb787944aaa5050e3de37f7db1ca17eb97ee13488f16210a38806c44d
+size 217044
diff --git a/results/train/ellipse/problem_3859.png b/results/train/ellipse/problem_3859.png
new file mode 100644
index 0000000000000000000000000000000000000000..c09a5888f21717354c53e0205bf84addb8655541
--- /dev/null
+++ b/results/train/ellipse/problem_3859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a9fb0ccd26f0e23dfb8ad9eea029fc23630bb897a4784ec59d2037eb68b9237
+size 185788
diff --git a/results/train/ellipse/problem_3861.png b/results/train/ellipse/problem_3861.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d0e28158a51b7390c836d2dde9a82c6f37390ff
--- /dev/null
+++ b/results/train/ellipse/problem_3861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8abcee25f5c735bb3b7c6a1a99d3036b7edfa4e25e641f408c6f72d88c508817
+size 223922
diff --git a/results/train/ellipse/problem_3864.png b/results/train/ellipse/problem_3864.png
new file mode 100644
index 0000000000000000000000000000000000000000..15ffaf8316d4d999ea02adaa3cdac0070ea75dc8
--- /dev/null
+++ b/results/train/ellipse/problem_3864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ffddc4e45dc62fc67d28f5b621bdf4f1a81b48cf4cca03b4db9bf6920b513dc
+size 233261
diff --git a/results/train/ellipse/problem_3866.png b/results/train/ellipse/problem_3866.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef09aa26889f5048caaac9ad86becef11a7fb770
--- /dev/null
+++ b/results/train/ellipse/problem_3866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0dba065a4a6a0f35a75fe9aea1d4e6227e5da0f3a974e832623c723c759aa53e
+size 209709
diff --git a/results/train/ellipse/problem_3868.png b/results/train/ellipse/problem_3868.png
new file mode 100644
index 0000000000000000000000000000000000000000..29c8e1964e8d2e62530b00703b65d5f9f962ea2d
--- /dev/null
+++ b/results/train/ellipse/problem_3868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86ef5c5df9e501feba206fe5a7d0b92ae4abb0c322fcd76dd4bec89a9ebb5782
+size 223187
diff --git a/results/train/ellipse/problem_3871.png b/results/train/ellipse/problem_3871.png
new file mode 100644
index 0000000000000000000000000000000000000000..64545bf2cd7145e9670c58292713aabdfb08863e
--- /dev/null
+++ b/results/train/ellipse/problem_3871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed56c793a5ee169a84bb4a309d723cb88444e6f0809b34d9afe799b6130a1b9d
+size 221342
diff --git a/results/train/ellipse/problem_3877.png b/results/train/ellipse/problem_3877.png
new file mode 100644
index 0000000000000000000000000000000000000000..427ff8f8771d690d0951930587791b8cba7c0595
--- /dev/null
+++ b/results/train/ellipse/problem_3877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f6116c002bf6eeab635224c00421156a63771ce726e96fbbb5de47374328b76
+size 213607
diff --git a/results/train/ellipse/problem_3885.png b/results/train/ellipse/problem_3885.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c74e37a22cf089bfa3c5c7bfb55ce80cf5c02e8
--- /dev/null
+++ b/results/train/ellipse/problem_3885.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1424d7e8db9f94132883acd8e0c552f37607c7bd7975403a66e9cbe68973848c
+size 192566
diff --git a/results/train/ellipse/problem_3889.png b/results/train/ellipse/problem_3889.png
new file mode 100644
index 0000000000000000000000000000000000000000..74dda21af6d86a0ea026d6d0a61548f2ba98d20d
--- /dev/null
+++ b/results/train/ellipse/problem_3889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0235b5fe4fa5895159fc702435660ac8957f2e81a9567ecada17d4fa5ff565a
+size 200740
diff --git a/results/train/ellipse/problem_3896.png b/results/train/ellipse/problem_3896.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8824f4b421df13aa50cd981c47f0a9b8c92d07e
--- /dev/null
+++ b/results/train/ellipse/problem_3896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e286c1f443b8299948a41c325ec2b366adfb5600281be2c6ec8ae2c10a1b2718
+size 230792
diff --git a/results/train/ellipse/problem_3897.png b/results/train/ellipse/problem_3897.png
new file mode 100644
index 0000000000000000000000000000000000000000..face5bfffd62e55c1806d003a5941618f69a4e7e
--- /dev/null
+++ b/results/train/ellipse/problem_3897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb2b47a84e67b2ef34bf58d1b864ff0247832ed0a10311453c340b12c37932e9
+size 219066
diff --git a/results/train/ellipse/problem_3899.png b/results/train/ellipse/problem_3899.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9f2c851f14c52751973c10c6efdbe9745b2bc48
--- /dev/null
+++ b/results/train/ellipse/problem_3899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e6d0aef98ec0cecaa5db43faf424366e5a0b36556523950635364f06e9018d5
+size 193475
diff --git a/results/train/ellipse/problem_3902.png b/results/train/ellipse/problem_3902.png
new file mode 100644
index 0000000000000000000000000000000000000000..919e7ac0664365ff5e9a5ac4233e53794992c4b4
--- /dev/null
+++ b/results/train/ellipse/problem_3902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99b656b93181292aeedab4660925e418d04d55be5d1b6a1076657779bf4fd963
+size 225925
diff --git a/results/train/ellipse/problem_3904.png b/results/train/ellipse/problem_3904.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa67ca92bbae9ff7356fde186e959ed2d9a4ff3b
--- /dev/null
+++ b/results/train/ellipse/problem_3904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d1fd13e5c6449003c4a8936a46e56bc516802a4378ef0182cee9df59738579e
+size 237546
diff --git a/results/train/ellipse/problem_3905.png b/results/train/ellipse/problem_3905.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb7265a52fbb81face701b798619134231afc60b
--- /dev/null
+++ b/results/train/ellipse/problem_3905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65ff89a384bdb3e59859bb34b7ec1bbb059b1ef346685b1dadd28690fe43aa0f
+size 190750
diff --git a/results/train/ellipse/problem_3906.png b/results/train/ellipse/problem_3906.png
new file mode 100644
index 0000000000000000000000000000000000000000..f936bb5ba1a0e11c1875b136c6d73937a6a4e85c
--- /dev/null
+++ b/results/train/ellipse/problem_3906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3becda812b3e4a42359739c1e7595d49570d9f1a09ad27246e35741543107de3
+size 202553
diff --git a/results/train/ellipse/problem_3907.png b/results/train/ellipse/problem_3907.png
new file mode 100644
index 0000000000000000000000000000000000000000..f997de3fe586368e85f7bffb13a6774b738d9898
--- /dev/null
+++ b/results/train/ellipse/problem_3907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fd3feaff7ec989cf23b0980aae3e77a3d5317b760307e0ad71a34488f63755e
+size 217159
diff --git a/results/train/ellipse/problem_3908.png b/results/train/ellipse/problem_3908.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d5c33c20cbe68d388cf60522680d29cc1fcaf95
--- /dev/null
+++ b/results/train/ellipse/problem_3908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28f1cd43ff6ada06499e9553963b6c3fbd7d07bb0bbc13ee5b60baaca0df35e6
+size 221758
diff --git a/results/train/ellipse/problem_3909.png b/results/train/ellipse/problem_3909.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b70e4372f0656461e6ed87ea0b003bf75c09b4e
--- /dev/null
+++ b/results/train/ellipse/problem_3909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73d883779024937c01bd3dbf54247c9e08831e7ac2cad1853d8ad674411cee48
+size 211053
diff --git a/results/train/ellipse/problem_3920.png b/results/train/ellipse/problem_3920.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d223859354e9accceeed88479663082cbc6cf6f
--- /dev/null
+++ b/results/train/ellipse/problem_3920.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3dbb8e0c8bb9e94c47a0d29fe8b72c42962d756621d00911530b829ad3985839
+size 201285
diff --git a/results/train/ellipse/problem_3926.png b/results/train/ellipse/problem_3926.png
new file mode 100644
index 0000000000000000000000000000000000000000..09c944bcf0a9f7a387b4becdffec5c48ad591292
--- /dev/null
+++ b/results/train/ellipse/problem_3926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39d33ac4ea1d88970e6f490f803c9cd00432806a0139b5864664a4fa51935a7f
+size 223191
diff --git a/results/train/ellipse/problem_3934.png b/results/train/ellipse/problem_3934.png
new file mode 100644
index 0000000000000000000000000000000000000000..25f5a070ef1b34025dcfafb021fa7cb9f410e244
--- /dev/null
+++ b/results/train/ellipse/problem_3934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21b6c23bf248178433cc9aba632083777f3b78af164fbbb77d23274fec70cd3d
+size 224515
diff --git a/results/train/ellipse/problem_3957.png b/results/train/ellipse/problem_3957.png
new file mode 100644
index 0000000000000000000000000000000000000000..d36f58ac21e009a028163d5223e0c4d4eb58288b
--- /dev/null
+++ b/results/train/ellipse/problem_3957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78c0d8ab12032fc05216d70ba53e2b81e4d93d8b2ec7eb878a2e907e32ce857f
+size 228658
diff --git a/results/train/ellipse/problem_3967.png b/results/train/ellipse/problem_3967.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb95442d487f452eb731e33e1f7bba949b0a21e1
--- /dev/null
+++ b/results/train/ellipse/problem_3967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f69b83ef06b4cb5538534b2d3dcd4788f91cd968bf9ed1071dd5f61aca9e2c1
+size 228203
diff --git a/results/train/ellipse/problem_3973.png b/results/train/ellipse/problem_3973.png
new file mode 100644
index 0000000000000000000000000000000000000000..449946759e1f4715a08420ef040d94a7936b960f
--- /dev/null
+++ b/results/train/ellipse/problem_3973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc9613bbea5536f775fd557379cfc70819a9959938b0917e542c7958e22314e7
+size 236164
diff --git a/results/train/ellipse/problem_3976.png b/results/train/ellipse/problem_3976.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf4f304869936e4bf8f75b6ea8809c156ddc6d75
--- /dev/null
+++ b/results/train/ellipse/problem_3976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c6ef51357d91b346704554157802d0a10ee763cddecdb2f6f637e58ec9a55c5
+size 214444
diff --git a/results/train/ellipse/problem_3979.png b/results/train/ellipse/problem_3979.png
new file mode 100644
index 0000000000000000000000000000000000000000..0154022e847fb743815be9879f734cb4fbaabeb6
--- /dev/null
+++ b/results/train/ellipse/problem_3979.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc8547e4e5dceaf6c9d194c00ab63d601073597b753bc9fbb262a256689b5235
+size 221649
diff --git a/results/train/ellipse/problem_3988.png b/results/train/ellipse/problem_3988.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb62bc568a3dfc1f77eeba553427acfe52733f61
--- /dev/null
+++ b/results/train/ellipse/problem_3988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1439e134ddc761e61f6c5289b0cff9423e5ae9449beea8dbfe0b949e3cb37365
+size 229763
diff --git a/results/train/ellipse/problem_3992.png b/results/train/ellipse/problem_3992.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f1ec62369849d543d4a41f5300793bcc6ce1b83
--- /dev/null
+++ b/results/train/ellipse/problem_3992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:442ee020ae843427284ef57a1f8d2cce0559e39fb9b1f661ca3c3ff9c695f104
+size 230541
diff --git a/results/train/ellipse/problem_3997.png b/results/train/ellipse/problem_3997.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fe63277f85ddde659dd9fbda698fbe273beb266
--- /dev/null
+++ b/results/train/ellipse/problem_3997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4046624ae4c3dbc3478c5f8cb4b011fe5933453579584a48ab00cbaf4a20c0d8
+size 214101
diff --git a/results/train/ellipse/problem_4004.png b/results/train/ellipse/problem_4004.png
new file mode 100644
index 0000000000000000000000000000000000000000..32eb44ca8a1539f3e2e62cea2e17068ab3fc6e4a
--- /dev/null
+++ b/results/train/ellipse/problem_4004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bc86d2c18df8e29b9ccb6907cecd6e3d2964ddbeeeac73c506434d82b8a88d8
+size 227673
diff --git a/results/train/ellipse/problem_4005.png b/results/train/ellipse/problem_4005.png
new file mode 100644
index 0000000000000000000000000000000000000000..43f7f5306e353917af77d2756c5754ef42a3d4b4
--- /dev/null
+++ b/results/train/ellipse/problem_4005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fde4fa09bfd455c5a515887e3161e128cb3f81b285624563318270d05c06773
+size 230944
diff --git a/results/train/ellipse/problem_4018.png b/results/train/ellipse/problem_4018.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca7362cf285fafffd80f06f66cdbddb6e20530d1
--- /dev/null
+++ b/results/train/ellipse/problem_4018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d39ca4c528f8d304c86bff4ac9a7c94f426de0bdfb3b15f7c373d8b35c482106
+size 220842
diff --git a/results/train/ellipse/problem_4020.png b/results/train/ellipse/problem_4020.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc56b2c2a318228a8aec20ce32ebebd43d7ed1e4
--- /dev/null
+++ b/results/train/ellipse/problem_4020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a35d866afa2a4d8d42e3b8635cbb5a190532abbe6cbe17aa89b40344534077b
+size 232634
diff --git a/results/train/ellipse/problem_4022.png b/results/train/ellipse/problem_4022.png
new file mode 100644
index 0000000000000000000000000000000000000000..bca207d40ef254f646480e935d8c69d1b9538e4b
--- /dev/null
+++ b/results/train/ellipse/problem_4022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2399a026cf1755efcc594165788bc0e7414d190c85c6396606c8bdb6ff0ca603
+size 216811
diff --git a/results/train/ellipse/problem_4024.png b/results/train/ellipse/problem_4024.png
new file mode 100644
index 0000000000000000000000000000000000000000..d02b47cf59143b8f3f54444e507035fe1bddc9af
--- /dev/null
+++ b/results/train/ellipse/problem_4024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d09121b54d18aed2653597d9a72174e4c243c725ad6b80935483646b5f9e134
+size 231346
diff --git a/results/train/ellipse/problem_4025.png b/results/train/ellipse/problem_4025.png
new file mode 100644
index 0000000000000000000000000000000000000000..bac468c43b855e760fd60720f426548bb87fc385
--- /dev/null
+++ b/results/train/ellipse/problem_4025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8298da713b99e98377165d8fbc4bbd6bd232145b6fb566af497b063b2667680a
+size 223258
diff --git a/results/train/ellipse/problem_4026.png b/results/train/ellipse/problem_4026.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ec888e71b5d8b56bca213c55dd36a2dd8c1bc57
--- /dev/null
+++ b/results/train/ellipse/problem_4026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9812a710bb5202b45577e427e74a8e6ea57ba8b74efc329503a168cd57e79a17
+size 229975
diff --git a/results/train/ellipse/problem_4030.png b/results/train/ellipse/problem_4030.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1a243694559141eb3257948ad705a16dee7b90b
--- /dev/null
+++ b/results/train/ellipse/problem_4030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cffc3317ddc9a217ddb37f361d80988f5f4a766cd93c0076226fe317e085a835
+size 219040
diff --git a/results/train/ellipse/problem_4035.png b/results/train/ellipse/problem_4035.png
new file mode 100644
index 0000000000000000000000000000000000000000..209abc1ab9e6e103696263b87e8ca05ffca5d9be
--- /dev/null
+++ b/results/train/ellipse/problem_4035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a0c3d8d7befe26ca05cb28e62b4b337794e687d99a11ef8dc2f8afb6190e200
+size 209931
diff --git a/results/train/ellipse/problem_4041.png b/results/train/ellipse/problem_4041.png
new file mode 100644
index 0000000000000000000000000000000000000000..5898f677a689a1b64b324c2a1014604fca9574e5
--- /dev/null
+++ b/results/train/ellipse/problem_4041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28ff1d7ae54fd4162727e69ba2914d797ee00ce3378acca3ee5aeb4c19b11da0
+size 216489
diff --git a/results/train/ellipse/problem_4045.png b/results/train/ellipse/problem_4045.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a8fa7b86c8d863e995371aac3821b380f4f626f
--- /dev/null
+++ b/results/train/ellipse/problem_4045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92a427b35ef078ac6e96b8ced47f171147869bd8edde9e94134e28910c76aa1c
+size 203157
diff --git a/results/train/ellipse/problem_4053.png b/results/train/ellipse/problem_4053.png
new file mode 100644
index 0000000000000000000000000000000000000000..99f1869ca0ea127b8b41f4641e739bdc6af0bec1
--- /dev/null
+++ b/results/train/ellipse/problem_4053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54881f8981d17dcb75e542d44e9e2f5ec4a17f98897fa9fb39ac644010337674
+size 228122
diff --git a/results/train/ellipse/problem_4061.png b/results/train/ellipse/problem_4061.png
new file mode 100644
index 0000000000000000000000000000000000000000..4727018a69d42ba948383249425fe89579da6752
--- /dev/null
+++ b/results/train/ellipse/problem_4061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a651691b019792f5fc9eccefb819839f0a868c4e4f85e0f20f55abfa670f5dbf
+size 241181
diff --git a/results/train/ellipse/problem_4062.png b/results/train/ellipse/problem_4062.png
new file mode 100644
index 0000000000000000000000000000000000000000..81cac48729a1d258bfdedb376fb3c6a506da2c54
--- /dev/null
+++ b/results/train/ellipse/problem_4062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a742fad08d8ed552f09e52bcbd39a389b71d32b8c0f8c83dd99a62377e591a58
+size 224842
diff --git a/results/train/ellipse/problem_4064.png b/results/train/ellipse/problem_4064.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4cd2c2b713bdcc5b88ea8ea238ed488600ab4a4
--- /dev/null
+++ b/results/train/ellipse/problem_4064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df5b24a2ba265b1463b51d2fcc6983a305ea3cc4512a08a6f863d7cfd0b16d28
+size 220482
diff --git a/results/train/ellipse/problem_4065.png b/results/train/ellipse/problem_4065.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2f7e30c8083fc9d1a367b17d16fc3ea84892807
--- /dev/null
+++ b/results/train/ellipse/problem_4065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ca8a805ed6cb6e6d853042d7e69e858ab1ec300330045dfc4840047bdb666d6
+size 220861
diff --git a/results/train/ellipse/problem_4068.png b/results/train/ellipse/problem_4068.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd089ef202bb6780083baf2306be5c9ea64b4bc8
--- /dev/null
+++ b/results/train/ellipse/problem_4068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f3e2fee3083f8e7b0f79f75491326d0be23221024fba9b156f69ab85a336695
+size 194263
diff --git a/results/train/ellipse/problem_4071.png b/results/train/ellipse/problem_4071.png
new file mode 100644
index 0000000000000000000000000000000000000000..f107cf430c67a7f67ec3253fbb004a8b29980195
--- /dev/null
+++ b/results/train/ellipse/problem_4071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:054093a7e583ee82e71f33ea20cbd3a1b20fbc2aaa023b654ef3d7e81b993b68
+size 235965
diff --git a/results/train/ellipse/problem_4087.png b/results/train/ellipse/problem_4087.png
new file mode 100644
index 0000000000000000000000000000000000000000..feafc78e9eada6e6a67553d7c289af908feb1645
--- /dev/null
+++ b/results/train/ellipse/problem_4087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25f421730353f6731226914b80adcaf57cf3cef6680aee0977b88f9298d637e2
+size 211525
diff --git a/results/train/ellipse/problem_4088.png b/results/train/ellipse/problem_4088.png
new file mode 100644
index 0000000000000000000000000000000000000000..3dac7c3ebad2533894474b86bdee30911cd85f34
--- /dev/null
+++ b/results/train/ellipse/problem_4088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8fe7cee735b2131b72aec3d87c6fc62c43b455ea067884c66c9442f5f96401e
+size 220613
diff --git a/results/train/ellipse/problem_4089.png b/results/train/ellipse/problem_4089.png
new file mode 100644
index 0000000000000000000000000000000000000000..09781ad80f6170cd3ec98054f7a534fa86724aef
--- /dev/null
+++ b/results/train/ellipse/problem_4089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfa77a3bab5351501e370247a9439f5bcdc00487b5cf4c1866ae389f0dfa2f97
+size 216666
diff --git a/results/train/ellipse/problem_4090.png b/results/train/ellipse/problem_4090.png
new file mode 100644
index 0000000000000000000000000000000000000000..a747eeeca4e9ca7170f45686099c66f6f8aa0957
--- /dev/null
+++ b/results/train/ellipse/problem_4090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecb110c29b109c6d73adde0554c0f1af45d14c9e6e13cf4df0468c91ab824324
+size 210561
diff --git a/results/train/ellipse/problem_4092.png b/results/train/ellipse/problem_4092.png
new file mode 100644
index 0000000000000000000000000000000000000000..329ec2b661a8607c3804f6360ba847d439dfd92f
--- /dev/null
+++ b/results/train/ellipse/problem_4092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07f218e3369d2a31cb571494c30790595a9b9b119b9d6c45f30cbab43873c089
+size 227659
diff --git a/results/train/ellipse/problem_4093.png b/results/train/ellipse/problem_4093.png
new file mode 100644
index 0000000000000000000000000000000000000000..11834606b55c923a63158b587bca75160ca6954d
--- /dev/null
+++ b/results/train/ellipse/problem_4093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:608df376484a23468c56e7ebdb8cade9571fc2711cd811d09cfc1ab91af3cf4e
+size 187062
diff --git a/results/train/ellipse/problem_4095.png b/results/train/ellipse/problem_4095.png
new file mode 100644
index 0000000000000000000000000000000000000000..650878ffb63e02be8ea0c8f0208dff0bd032b713
--- /dev/null
+++ b/results/train/ellipse/problem_4095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:959f88d3773042da29bb3ee5159416b47417cab802ed1aae0310d41e52cc245d
+size 217619
diff --git a/results/train/ellipse/problem_4096.png b/results/train/ellipse/problem_4096.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa438fce80e08c5d2912bdea9de968485e4be622
--- /dev/null
+++ b/results/train/ellipse/problem_4096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a646c7d6f45f568c209fd72b604c9cd14c2febc464e718692d7482afce2304a
+size 216391
diff --git a/results/train/ellipse/problem_4097.png b/results/train/ellipse/problem_4097.png
new file mode 100644
index 0000000000000000000000000000000000000000..320d1900100043c32a538e0318ac312528ec548d
--- /dev/null
+++ b/results/train/ellipse/problem_4097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a254b438f6dece1d483f8186eada3b3374921ea47e16e24ee3f3ff3a5103404
+size 228337
diff --git a/results/train/ellipse/problem_4098.png b/results/train/ellipse/problem_4098.png
new file mode 100644
index 0000000000000000000000000000000000000000..8865149147848a30f38fd9988773abe669a285aa
--- /dev/null
+++ b/results/train/ellipse/problem_4098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cdce9163b0ffef061395fbaac94f906bcaf237f865b7cdd1f32bfbabe1b1f48
+size 244751
diff --git a/results/train/ellipse/problem_4103.png b/results/train/ellipse/problem_4103.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbd46cb6cc12f1f4b2b314651a8ce96337a70d07
--- /dev/null
+++ b/results/train/ellipse/problem_4103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a8dea026cbf0f114a05de4719bc12348c67cc1a60560033264998239fc1c1ed
+size 227358
diff --git a/results/train/ellipse/problem_4104.png b/results/train/ellipse/problem_4104.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce61ec0c358782227841fb2a4dbde8da2c74128e
--- /dev/null
+++ b/results/train/ellipse/problem_4104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a0c4a5592660d2c6efa5b5790f2a2aefdab07a286270a187ea2a9b5443cce2a
+size 193348
diff --git a/results/train/ellipse/problem_4109.png b/results/train/ellipse/problem_4109.png
new file mode 100644
index 0000000000000000000000000000000000000000..15bf7575a00ef5c688e6fbdc765390dc50b7f9e9
--- /dev/null
+++ b/results/train/ellipse/problem_4109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e8b7332aa62192d817799d9e21320cc0c6098d22b753d4b27cfc5739848a444
+size 224756
diff --git a/results/train/ellipse/problem_4112.png b/results/train/ellipse/problem_4112.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a271b51ac856adb9ad0d197bf961126f605a9ed
--- /dev/null
+++ b/results/train/ellipse/problem_4112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:866b781e19343d2f04c5f1703403b6aef95fd75af0a30c5eb84a451ed017eae7
+size 225396
diff --git a/results/train/ellipse/problem_4125.png b/results/train/ellipse/problem_4125.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f79c7c81a4eb05e8537a9ef0fb73f3448dff744
--- /dev/null
+++ b/results/train/ellipse/problem_4125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:094575c4fd2be5e4b1ec62b5ea2097c245096e30e6b471e77aa621bc328aeb23
+size 217087
diff --git a/results/train/ellipse/problem_4129.png b/results/train/ellipse/problem_4129.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4f3960fff7f35170e46ced4c46dde48127b6ec5
--- /dev/null
+++ b/results/train/ellipse/problem_4129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4308c0223619c99736d76d7e4da800880b79d0b86d3d6f26f4b2de66c1256602
+size 217759
diff --git a/results/train/ellipse/problem_4131.png b/results/train/ellipse/problem_4131.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b1fc63f0f5a1b9374ffa839a0d4a4800a26a7a5
--- /dev/null
+++ b/results/train/ellipse/problem_4131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5de79e13a2f96472110cf9f4e2e064e70827cfd110ee2fa7199de5ec9b2fc4b
+size 215136
diff --git a/results/train/ellipse/problem_4138.png b/results/train/ellipse/problem_4138.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3bcd660037e13bc6a7b2772cd4204acaa99da4e
--- /dev/null
+++ b/results/train/ellipse/problem_4138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12ee8aae458e3ac93f1b6fdc245e881b8eb1d56d43aab8a04a3bd9e72d1923d2
+size 232708
diff --git a/results/train/ellipse/problem_4140.png b/results/train/ellipse/problem_4140.png
new file mode 100644
index 0000000000000000000000000000000000000000..2263720ca68b9bd88a69fac73b7d20b91209f8c4
--- /dev/null
+++ b/results/train/ellipse/problem_4140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:449d1090627444632db7b622a616cd90a2854466c3d490d27d3ec625ead99916
+size 226520
diff --git a/results/train/ellipse/problem_4146.png b/results/train/ellipse/problem_4146.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce711120e17dcf3d18b9d259f2fe204833f4c98f
--- /dev/null
+++ b/results/train/ellipse/problem_4146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db2666816af91ac25bd119eb16b31689281d49b9ed705097e873bf2081390e7a
+size 213604
diff --git a/results/train/ellipse/problem_4147.png b/results/train/ellipse/problem_4147.png
new file mode 100644
index 0000000000000000000000000000000000000000..42c3acfc2647c9606523d090796d0fe08de6fc68
--- /dev/null
+++ b/results/train/ellipse/problem_4147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96dbc4cfc126a56e7b8effc1260402029dae405c5ed1d456e7906a4d13c628f7
+size 230533
diff --git a/results/train/ellipse/problem_4149.png b/results/train/ellipse/problem_4149.png
new file mode 100644
index 0000000000000000000000000000000000000000..a156db40f0c54c1696cf054a1f776c951991a724
--- /dev/null
+++ b/results/train/ellipse/problem_4149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6da473b1b440516bcbc5e67178e4188fc9fb1e9b9790cb0f305dddf893f76fe2
+size 223739
diff --git a/results/train/ellipse/problem_4154.png b/results/train/ellipse/problem_4154.png
new file mode 100644
index 0000000000000000000000000000000000000000..c88206c320cfc05cf225bb82a2104cd84f90ac3c
--- /dev/null
+++ b/results/train/ellipse/problem_4154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf8957d0e5c21cb999934a924be564a8340b64b464fb4a748bb95d31698d3716
+size 218870
diff --git a/results/train/ellipse/problem_4155.png b/results/train/ellipse/problem_4155.png
new file mode 100644
index 0000000000000000000000000000000000000000..56de63ad2f4138ed6afc5a001ba81b33154ced23
--- /dev/null
+++ b/results/train/ellipse/problem_4155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d6cab7f11a1ea7ad88d5b1c9b8c854cf164fc77075e9e06f324e9d803e82428
+size 220979
diff --git a/results/train/ellipse/problem_4160.png b/results/train/ellipse/problem_4160.png
new file mode 100644
index 0000000000000000000000000000000000000000..24136d63f32b7840708d136f3bff565cb75bf105
--- /dev/null
+++ b/results/train/ellipse/problem_4160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7a3cc9148da39aa1f5b47f5451d347246457c71b0dede57dbc96237e37edb21
+size 230858
diff --git a/results/train/ellipse/problem_4163.png b/results/train/ellipse/problem_4163.png
new file mode 100644
index 0000000000000000000000000000000000000000..803d79f6d2b0c26810ac9ab9e9512cb22ae3043a
--- /dev/null
+++ b/results/train/ellipse/problem_4163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4faafc8d9a97915eb7d7476d6918b10082dcb631fd46ec908a1a4af802e6d00
+size 185108
diff --git a/results/train/ellipse/problem_4171.png b/results/train/ellipse/problem_4171.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1b5732305ad33ae97ee099cbdb8cee156bc3795
--- /dev/null
+++ b/results/train/ellipse/problem_4171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e27c172a2cc5d62dbc5f4b0d25ce8db2b17a86dfc244ab967e5d6fef9ea9c088
+size 229980
diff --git a/results/train/ellipse/problem_4189.png b/results/train/ellipse/problem_4189.png
new file mode 100644
index 0000000000000000000000000000000000000000..90728579c3d2cb148ed9a4f0394b73d9b4e5c9f7
--- /dev/null
+++ b/results/train/ellipse/problem_4189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:445d0085e11160b64fa6ea2e74143fdba5e82c03b4ad55e4881bd4f1347066b0
+size 220395
diff --git a/results/train/ellipse/problem_4191.png b/results/train/ellipse/problem_4191.png
new file mode 100644
index 0000000000000000000000000000000000000000..860f45abd17f3c887d685960b766b85cac555f66
--- /dev/null
+++ b/results/train/ellipse/problem_4191.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d81901e35498e9d245c8cb1cf7f3dddf43e2fce972593880b000f53c417ab161
+size 223995
diff --git a/results/train/ellipse/problem_4195.png b/results/train/ellipse/problem_4195.png
new file mode 100644
index 0000000000000000000000000000000000000000..22c54ccad26effd31616d417ee5588f69f1d8034
--- /dev/null
+++ b/results/train/ellipse/problem_4195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e53a5e101872736b2f308e94ead81ee603328e37762acb18b67eb21bbb407e25
+size 197933
diff --git a/results/train/ellipse/problem_4207.png b/results/train/ellipse/problem_4207.png
new file mode 100644
index 0000000000000000000000000000000000000000..6db814665c0e894f0c2ca7b9e751d629930aa16c
--- /dev/null
+++ b/results/train/ellipse/problem_4207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5e41e7c9aab2da68aa144dbb3ab8165050f8f010b6f8bb0193f3b9a06c23eb0
+size 230193
diff --git a/results/train/ellipse/problem_4216.png b/results/train/ellipse/problem_4216.png
new file mode 100644
index 0000000000000000000000000000000000000000..c35ea55febbe8c82fc0cc19e46a1623177dcc727
--- /dev/null
+++ b/results/train/ellipse/problem_4216.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92caf624fca99a466e4d0bb245a98329b4a5a7bf501865cb50cb0155efd430cc
+size 234005
diff --git a/results/train/ellipse/problem_4217.png b/results/train/ellipse/problem_4217.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae815be680e42cf6e4e2c3838b74c32e88472fb6
--- /dev/null
+++ b/results/train/ellipse/problem_4217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c9d7ff89ed351a6c2e6126c336d6f9d14896bbfbd36e557d5d5e6327b04d357
+size 224574
diff --git a/results/train/ellipse/problem_4218.png b/results/train/ellipse/problem_4218.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c698f8026f5c2c9df7548363c3466d3ef96c247
--- /dev/null
+++ b/results/train/ellipse/problem_4218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c965c3a9701debbde3762595caee99e17eda3ad13d0fa336f290b6a764a6c585
+size 190132
diff --git a/results/train/ellipse/problem_4225.png b/results/train/ellipse/problem_4225.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c2a0e6712caf0f3fa281094f43a228327947a62
--- /dev/null
+++ b/results/train/ellipse/problem_4225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b823351532b9a4fb49464392d3cfecb08ffc0acda1f984131b781df98b7be7fd
+size 198760
diff --git a/results/train/ellipse/problem_4227.png b/results/train/ellipse/problem_4227.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb51a6aae18ffa86d1dc80c6a57183f579d4fa25
--- /dev/null
+++ b/results/train/ellipse/problem_4227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7100d7b34b667e3f922982bceea73221e7080c2179dfdf32da22296813f4bf5
+size 224563
diff --git a/results/train/ellipse/problem_4228.png b/results/train/ellipse/problem_4228.png
new file mode 100644
index 0000000000000000000000000000000000000000..80d4589373794b0beb0f1f2081731c34f0d7dd0f
--- /dev/null
+++ b/results/train/ellipse/problem_4228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb954e124cffe72334bc61d2ba12f6907d93a1ce15045b2a16b04cce505cb713
+size 227355
diff --git a/results/train/ellipse/problem_4241.png b/results/train/ellipse/problem_4241.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb5ceeca5f0d03b667d7be77d39f5a1cc9ecca75
--- /dev/null
+++ b/results/train/ellipse/problem_4241.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:320f11721f13408d39cb83d45c267b16d2f05267d32b6a2d91eed72cb6944d36
+size 219438
diff --git a/results/train/ellipse/problem_4248.png b/results/train/ellipse/problem_4248.png
new file mode 100644
index 0000000000000000000000000000000000000000..61a0718efc8cc2007e991352af910cea811f1381
--- /dev/null
+++ b/results/train/ellipse/problem_4248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cda929b2bbcb808ea3e83c8736da9288390b75b20cb375693ac51b81e90c2c03
+size 244016
diff --git a/results/train/ellipse/problem_4249.png b/results/train/ellipse/problem_4249.png
new file mode 100644
index 0000000000000000000000000000000000000000..a164420904c3ae0243fe12643fb270444babab24
--- /dev/null
+++ b/results/train/ellipse/problem_4249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bb334362e44b9a0694760a6ac420f4322f4c23c5cf6a125772966792fcda8be
+size 225971
diff --git a/results/train/ellipse/problem_4259.png b/results/train/ellipse/problem_4259.png
new file mode 100644
index 0000000000000000000000000000000000000000..701ddf326b5fa81b116b53f8792555a389e0a84e
--- /dev/null
+++ b/results/train/ellipse/problem_4259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ae821bdacb2388ad4453a6661560af7f59283968a69821aeb0014e3e81a778d
+size 213620
diff --git a/results/train/ellipse/problem_4260.png b/results/train/ellipse/problem_4260.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fa84799ac4529ff8c637a94b562f05074632d2b
--- /dev/null
+++ b/results/train/ellipse/problem_4260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ebf7f98c19596655b62ef890362073bf69e3171504be9a2c5447a677b31f3d3
+size 215297
diff --git a/results/train/ellipse/problem_4261.png b/results/train/ellipse/problem_4261.png
new file mode 100644
index 0000000000000000000000000000000000000000..351467c8d38c6e94e461acde5fc8664cc81d663b
--- /dev/null
+++ b/results/train/ellipse/problem_4261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f08581d93a0228d91ace192a88e08cb1c3e46dbee7fe742f3f73558af0e73b0
+size 216698
diff --git a/results/train/ellipse/problem_4262.png b/results/train/ellipse/problem_4262.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ed3622a55d95d0f87ff09aea97314324186c1e9
--- /dev/null
+++ b/results/train/ellipse/problem_4262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ce2168bb3903da452f11ac4c33e5f987e5c68aecaf11cbfd5fee761c317cbf3
+size 206620
diff --git a/results/train/ellipse/problem_4266.png b/results/train/ellipse/problem_4266.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd4317c8956619f81c8e4819e2e898595af080b7
--- /dev/null
+++ b/results/train/ellipse/problem_4266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:512704517b959b33a1eb7ce099873bd96009856305d79f01f76dc33a93418515
+size 222992
diff --git a/results/train/ellipse/problem_4272.png b/results/train/ellipse/problem_4272.png
new file mode 100644
index 0000000000000000000000000000000000000000..eedffae2c7df6e8e46ffebcb436528eb9afc60b2
--- /dev/null
+++ b/results/train/ellipse/problem_4272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:399420ee4a451a622488caedb605ba616d768a4ad84a6fccb907e5fafa2a93d1
+size 213035
diff --git a/results/train/ellipse/problem_4275.png b/results/train/ellipse/problem_4275.png
new file mode 100644
index 0000000000000000000000000000000000000000..1498275d7cc147aa80502d4d4c1dbdb38ff09042
--- /dev/null
+++ b/results/train/ellipse/problem_4275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f04c56cffb27ef38d88df0639cb042728eaf9eaf2ead5e4e899714b781b1fa5
+size 196474
diff --git a/results/train/ellipse/problem_4280.png b/results/train/ellipse/problem_4280.png
new file mode 100644
index 0000000000000000000000000000000000000000..b04f4fd77df32c6a39fffb2eed77ee7725787553
--- /dev/null
+++ b/results/train/ellipse/problem_4280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04cf6c31a87a4573712453f6a0038c0a92442b46206c085a791b60fb7a40e0e1
+size 215022
diff --git a/results/train/ellipse/problem_4282.png b/results/train/ellipse/problem_4282.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd18b535dfc92d6fc3637f0dcac41de7e8f8ce31
--- /dev/null
+++ b/results/train/ellipse/problem_4282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04c9cf980b7f294543f546e55208b6dcf423070cb83605463e2f61d8db95b221
+size 219471
diff --git a/results/train/ellipse/problem_4284.png b/results/train/ellipse/problem_4284.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7fc6432ad8f1c9702704f7a97494049e4a7efec
--- /dev/null
+++ b/results/train/ellipse/problem_4284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c12f4eb45cccfdfd06cff96ff20c8e04aef299e62ead9ee9939ca94d41aca576
+size 234473
diff --git a/results/train/ellipse/problem_4285.png b/results/train/ellipse/problem_4285.png
new file mode 100644
index 0000000000000000000000000000000000000000..8389181e2e5947e3ce0f3cf29c83b8d8b61e484e
--- /dev/null
+++ b/results/train/ellipse/problem_4285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e1ada619141c7bc169b423cfaafeb549631e783d7803e93ebbea1d8a5802148
+size 211172
diff --git a/results/train/ellipse/problem_4291.png b/results/train/ellipse/problem_4291.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb1a5190e723e667bdca230e882e10f1bc6ca783
--- /dev/null
+++ b/results/train/ellipse/problem_4291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b3646e214bbd03e043e724a5089692900760ce181e0a2ba6cc4327a0473f903
+size 225886
diff --git a/results/train/ellipse/problem_4294.png b/results/train/ellipse/problem_4294.png
new file mode 100644
index 0000000000000000000000000000000000000000..c227791904b4483ac4f7018dede2b60ff359db2f
--- /dev/null
+++ b/results/train/ellipse/problem_4294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ba09c715c588fde7c9c11447c1b9883fa8f6eecde09a8003ec9e6e1e64649ae
+size 214680
diff --git a/results/train/ellipse/problem_4306.png b/results/train/ellipse/problem_4306.png
new file mode 100644
index 0000000000000000000000000000000000000000..0da1d62f78df2f141f4968a22a2ec3d22be0dcb6
--- /dev/null
+++ b/results/train/ellipse/problem_4306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fc81c7a04fafe199a1c7cafcb1de490ab74084ed808b7e7f6b9ec4efa637491
+size 187349
diff --git a/results/train/ellipse/problem_4309.png b/results/train/ellipse/problem_4309.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7110c5f3ec79a7f2f0ff9f6b6cdc34883f09671
--- /dev/null
+++ b/results/train/ellipse/problem_4309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6eb843c6e80779b18b1ec41acaeb868fc1a93977b9c0058558fbc3e281de00ca
+size 225826
diff --git a/results/train/ellipse/problem_4313.png b/results/train/ellipse/problem_4313.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8f11076d2fa2bc926013119b02f8c99200eb33a
--- /dev/null
+++ b/results/train/ellipse/problem_4313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:191eebe1e806f62b047d619753583742d8a8c4755f3ea4ec4f66150ac2933445
+size 229463
diff --git a/results/train/ellipse/problem_4318.png b/results/train/ellipse/problem_4318.png
new file mode 100644
index 0000000000000000000000000000000000000000..57a5441cc3bd2d6a49840636fa27e9de5bb756ad
--- /dev/null
+++ b/results/train/ellipse/problem_4318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5c90071184cc805df26df246babad389d91a94ec0d7ea689bb57f85943f4ac4
+size 228221
diff --git a/results/train/ellipse/problem_4319.png b/results/train/ellipse/problem_4319.png
new file mode 100644
index 0000000000000000000000000000000000000000..261ab8beb972c974ea05c3030d37947639a5914a
--- /dev/null
+++ b/results/train/ellipse/problem_4319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ee1b0fd25fde5c508ee33dbd63e1fbe2bf3c619d1ea7e54143e92cf055da05a
+size 220168
diff --git a/results/train/ellipse/problem_4321.png b/results/train/ellipse/problem_4321.png
new file mode 100644
index 0000000000000000000000000000000000000000..574dc99a36d62db3f05dfd0a207714b01f3f42b6
--- /dev/null
+++ b/results/train/ellipse/problem_4321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73566af33d6aeb6845bfab7b1a8e13ecf461589534a81f2f06238b77bbd755e2
+size 229508
diff --git a/results/train/ellipse/problem_4327.png b/results/train/ellipse/problem_4327.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd44f7a611170765eaa7dbe2c92dab7d09cd6fa4
--- /dev/null
+++ b/results/train/ellipse/problem_4327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f1d2af5c5bd24351f9496a6d1f855565f12cd205c7f616c31bf43f4e1fe39da
+size 212355
diff --git a/results/train/ellipse/problem_4332.png b/results/train/ellipse/problem_4332.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce60b320659124f73176f16f7c7ef2f033286953
--- /dev/null
+++ b/results/train/ellipse/problem_4332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b4bd4d38d20c5dd38891240d224fc7749a6478a0d68d0ba3816a36c277d09d5
+size 226679
diff --git a/results/train/ellipse/problem_4336.png b/results/train/ellipse/problem_4336.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb34e6485f4f36c47ac2b3f5c7e3aceea3bf0b7e
--- /dev/null
+++ b/results/train/ellipse/problem_4336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5eac6167ac95bced8bd7ee13566c86db5d865a6c27a67ece8c976845e7a0b7a
+size 234192
diff --git a/results/train/ellipse/problem_4346.png b/results/train/ellipse/problem_4346.png
new file mode 100644
index 0000000000000000000000000000000000000000..b39666dd41acd1f22e29bc1c9fc838dd6d218115
--- /dev/null
+++ b/results/train/ellipse/problem_4346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4266366d02a17b50bbe2ee8d0cce2a99d7737a307a183f2135284c63c409f93
+size 216788
diff --git a/results/train/ellipse/problem_4350.png b/results/train/ellipse/problem_4350.png
new file mode 100644
index 0000000000000000000000000000000000000000..1eecc7412d84a3f3cdaab989ea1fe98a7b880a82
--- /dev/null
+++ b/results/train/ellipse/problem_4350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a44dadbc651a75611e32028820df968cc12386a94732a8b31aa9326a7de8220
+size 210620
diff --git a/results/train/ellipse/problem_4360.png b/results/train/ellipse/problem_4360.png
new file mode 100644
index 0000000000000000000000000000000000000000..3306d51a6dcc54d20a1a2ac5e48b0975ada08307
--- /dev/null
+++ b/results/train/ellipse/problem_4360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cd495fed1c54599549f2feed38810dbcfcbff8ef66b2227ea0473a6653fe2f1
+size 232173
diff --git a/results/train/ellipse/problem_4368.png b/results/train/ellipse/problem_4368.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8f68abc0b5f89c286351d7a0e0d399963e9e3dc
--- /dev/null
+++ b/results/train/ellipse/problem_4368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:062e336ecb4c576853f3627944e6905b4b687ed8c57f06f557c07256064e4084
+size 224464
diff --git a/results/train/ellipse/problem_4370.png b/results/train/ellipse/problem_4370.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9b085cfdd019517c6d8e9604521be37d21d47ce
--- /dev/null
+++ b/results/train/ellipse/problem_4370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01063e5da48dfbb1693d92e7995d64b8ab969117ea2e3891de5df48acb53f723
+size 217989
diff --git a/results/train/ellipse/problem_4371.png b/results/train/ellipse/problem_4371.png
new file mode 100644
index 0000000000000000000000000000000000000000..d32752bfde77dc912622414c4a48af1fcec20625
--- /dev/null
+++ b/results/train/ellipse/problem_4371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:958eb5787c4758c5aee429f0ae4c7642538e8bac319cde2e20441c39380d13a3
+size 224100
diff --git a/results/train/ellipse/problem_4373.png b/results/train/ellipse/problem_4373.png
new file mode 100644
index 0000000000000000000000000000000000000000..95a6a9b31e2c98665afde60a6e866e88a1c62ff2
--- /dev/null
+++ b/results/train/ellipse/problem_4373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7c30ba1b9cb83f7f2413d4225c9a84e83271818b9f07c2a62b98c6f277a3780
+size 228193
diff --git a/results/train/ellipse/problem_4374.png b/results/train/ellipse/problem_4374.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fcd0473877cf5a277b7cebf303fe0a9395acd47
--- /dev/null
+++ b/results/train/ellipse/problem_4374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7376ed5af60a8376f218f8395c08e386e6e1883a74e3d53a3475f383ef7ec43
+size 225709
diff --git a/results/train/ellipse/problem_4381.png b/results/train/ellipse/problem_4381.png
new file mode 100644
index 0000000000000000000000000000000000000000..30c0e902b7368786c294dc8bf82ebbe9b2bfaf60
--- /dev/null
+++ b/results/train/ellipse/problem_4381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb5eeacc60a8dcba95df33f89e71185372dfff30527e5d51ed79251961468af9
+size 194232
diff --git a/results/train/ellipse/problem_4382.png b/results/train/ellipse/problem_4382.png
new file mode 100644
index 0000000000000000000000000000000000000000..f63644a0f71f939d1456835d05d0422519679770
--- /dev/null
+++ b/results/train/ellipse/problem_4382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f12497038ae7d48dbc733c271e03ead4a04d4737243e1eca1fc2f5858c4dba3
+size 242443
diff --git a/results/train/ellipse/problem_4383.png b/results/train/ellipse/problem_4383.png
new file mode 100644
index 0000000000000000000000000000000000000000..a39f9b36aa2e4089728c2cab09e56390d19a5435
--- /dev/null
+++ b/results/train/ellipse/problem_4383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1f8694a5fdf4d680d3969dc3153fa85efbbbb2b8834d8f6a76bac1ed0f483e6
+size 225764
diff --git a/results/train/ellipse/problem_4387.png b/results/train/ellipse/problem_4387.png
new file mode 100644
index 0000000000000000000000000000000000000000..362af496ebc44695b11f1a0163bc823fc155c15e
--- /dev/null
+++ b/results/train/ellipse/problem_4387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bea83d2f1a2b1442e4f88926f87f5cba0e3581c1fd6988e5385bcf46ee6c5097
+size 194982
diff --git a/results/train/ellipse/problem_4395.png b/results/train/ellipse/problem_4395.png
new file mode 100644
index 0000000000000000000000000000000000000000..46ccbc33a6183bc3d825c3047c3ee84045166daa
--- /dev/null
+++ b/results/train/ellipse/problem_4395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c3496f8e21cd0ed77ce5005cf6c0e72ff870f77cfe6f2f970c3c0d4d16d25a7
+size 217586
diff --git a/results/train/ellipse/problem_4398.png b/results/train/ellipse/problem_4398.png
new file mode 100644
index 0000000000000000000000000000000000000000..f840488d010da77f15e429a9c8f778deb233c85d
--- /dev/null
+++ b/results/train/ellipse/problem_4398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0f5340fcbd7927632bb2d6c7d504eda0c1c55d7cdbfa2f5fed89f7e4d25e0cf
+size 194923
diff --git a/results/train/ellipse/problem_4400.png b/results/train/ellipse/problem_4400.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec33e0807bea1cae3c40be70ba6839f0964be698
--- /dev/null
+++ b/results/train/ellipse/problem_4400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba6a9b6bdf8707da4d46e66bacf6de73934486e8d58cc19bbf00ba9344f10013
+size 242632
diff --git a/results/train/ellipse/problem_4408.png b/results/train/ellipse/problem_4408.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce9016ea28801a94245a106d6db9f452a347b910
--- /dev/null
+++ b/results/train/ellipse/problem_4408.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:daca4ae17c4b8759479ecdecb7e1f56d34cb7389bbe159b892e753137503794b
+size 230601
diff --git a/results/train/ellipse/problem_4409.png b/results/train/ellipse/problem_4409.png
new file mode 100644
index 0000000000000000000000000000000000000000..75c699b3d7929be889b50f68e1a949e63cdf86f5
--- /dev/null
+++ b/results/train/ellipse/problem_4409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5f8042558170dd199355cb16a8ea9fc5e8608677eccb0b03ab56ffebc10d623
+size 221685
diff --git a/results/train/ellipse/problem_4412.png b/results/train/ellipse/problem_4412.png
new file mode 100644
index 0000000000000000000000000000000000000000..9854fe19491c6693bdbd3b3ded858306331f546d
--- /dev/null
+++ b/results/train/ellipse/problem_4412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dc40188b48b84afedd2b2d9da44a0db4099f3c857db2828010bd95b4046fd01
+size 221490
diff --git a/results/train/ellipse/problem_4415.png b/results/train/ellipse/problem_4415.png
new file mode 100644
index 0000000000000000000000000000000000000000..35d48d8cfee443b9ba41ae1f153dd1720185985a
--- /dev/null
+++ b/results/train/ellipse/problem_4415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76c7f4176879b25e5ed1c14af9b6d2b22941716d7d191bc537e1dbbb64ebd1b2
+size 225925
diff --git a/results/train/ellipse/problem_4419.png b/results/train/ellipse/problem_4419.png
new file mode 100644
index 0000000000000000000000000000000000000000..6655fb302836818063b7509bfaed6a63d6a7e6a0
--- /dev/null
+++ b/results/train/ellipse/problem_4419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce1550aeefd674d020c49763ed8d7fb9d321ab64d890ebed123dfe9b3f4b8d7b
+size 224963
diff --git a/results/train/ellipse/problem_4421.png b/results/train/ellipse/problem_4421.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f371a7adaba5e90ba469baba5b6584660fcd621
--- /dev/null
+++ b/results/train/ellipse/problem_4421.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69bf5d903e54573b2a0cc810595dbc2b9e105a8511c489d4b05a95e1cdafb4e0
+size 223154
diff --git a/results/train/ellipse/problem_4424.png b/results/train/ellipse/problem_4424.png
new file mode 100644
index 0000000000000000000000000000000000000000..0382cb254f152e900226c9252fe692deb9487194
--- /dev/null
+++ b/results/train/ellipse/problem_4424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09ffc524d8d6762b34205e3bbf5989a6f8a746938bc7f0cab2e3055ca91cddd9
+size 224258
diff --git a/results/train/ellipse/problem_4425.png b/results/train/ellipse/problem_4425.png
new file mode 100644
index 0000000000000000000000000000000000000000..aae28dd95a88d7d694b8324f3edf6964de9e1739
--- /dev/null
+++ b/results/train/ellipse/problem_4425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b9fb68e03e2067d02076e38a506ae33a2c35d01d170806e7ffe9bbeee37b68f
+size 221086
diff --git a/results/train/ellipse/problem_4432.png b/results/train/ellipse/problem_4432.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1bb07c3fafb4925f3bcfe0142fec7b2637dbb1e
--- /dev/null
+++ b/results/train/ellipse/problem_4432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f33ccba7b675e8b9fc059db46750cf4de4819e242025e9fb62ea377ff97a06c
+size 219520
diff --git a/results/train/ellipse/problem_4441.png b/results/train/ellipse/problem_4441.png
new file mode 100644
index 0000000000000000000000000000000000000000..16ccaa2aa481cdde30860fe4f80f210201b45b45
--- /dev/null
+++ b/results/train/ellipse/problem_4441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea9a7aa05ad7c50824af7eee67fc21c7f0f3a137c23d5c32e9371d35705a0287
+size 224430
diff --git a/results/train/ellipse/problem_4442.png b/results/train/ellipse/problem_4442.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0b973d965769ddc4f1720f23eff369022b4c0d3
--- /dev/null
+++ b/results/train/ellipse/problem_4442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7ebd779d054029bc4879f75a70c87d3648db1084fa47ac810e3c21f7779dc47
+size 192591
diff --git a/results/train/ellipse/problem_4459.png b/results/train/ellipse/problem_4459.png
new file mode 100644
index 0000000000000000000000000000000000000000..65cbe229ec148c1b5a6c6d8f420658aa9c08ef59
--- /dev/null
+++ b/results/train/ellipse/problem_4459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a8ea1fb30e9bd41ffdd5d81067ba05219476ddb4f9e3d6b75f8fa4bf5deebb9
+size 218350
diff --git a/results/train/ellipse/problem_4480.png b/results/train/ellipse/problem_4480.png
new file mode 100644
index 0000000000000000000000000000000000000000..17751b5683ab228d1812b03d45f82a2ab8be9eea
--- /dev/null
+++ b/results/train/ellipse/problem_4480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a20215f353091c2a949f309030b3f40d348cd58835540de4f271d0257601a90
+size 227876
diff --git a/results/train/ellipse/problem_4485.png b/results/train/ellipse/problem_4485.png
new file mode 100644
index 0000000000000000000000000000000000000000..972d665218dcabba3fa9a0de8037cf31e2220de9
--- /dev/null
+++ b/results/train/ellipse/problem_4485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c938089e59c82cbca394d6764590cc32b3cc49de5e651763c6608dc8718fee9
+size 226112
diff --git a/results/train/ellipse/problem_4486.png b/results/train/ellipse/problem_4486.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4cb3acf0e8e32b31c8bac163f2d31a8c1d17179
--- /dev/null
+++ b/results/train/ellipse/problem_4486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b39bebf96b645e9b8252e27533bf6836978f7b01d3e4c86835e0baa529cbc626
+size 215081
diff --git a/results/train/ellipse/problem_4487.png b/results/train/ellipse/problem_4487.png
new file mode 100644
index 0000000000000000000000000000000000000000..36e0a1e6bbfe37ba1b035c127f2080af93f7ace3
--- /dev/null
+++ b/results/train/ellipse/problem_4487.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1709a3cd11c14d30c2555bd482769180b4cbb9199161ced7cc73ff22c4935fa
+size 207028
diff --git a/results/train/ellipse/problem_4496.png b/results/train/ellipse/problem_4496.png
new file mode 100644
index 0000000000000000000000000000000000000000..38086d968b786a80e9a4043610faf2e54ff94415
--- /dev/null
+++ b/results/train/ellipse/problem_4496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16fa0cce920d20b80c54bf6acc0a5921ac1772f742a725fb15298d203555dc03
+size 214327
diff --git a/results/train/ellipse/problem_4519.png b/results/train/ellipse/problem_4519.png
new file mode 100644
index 0000000000000000000000000000000000000000..20a6bbe9c3629d8c7bbb87c0458b79c87ef1c050
--- /dev/null
+++ b/results/train/ellipse/problem_4519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5305cc47ac23f8d74b0045728dd5d505d8487eb75e4f6511d20ebf58a6d41f8a
+size 229609
diff --git a/results/train/ellipse/problem_4524.png b/results/train/ellipse/problem_4524.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d59b1d10fa3ac75e11b140ee4936204f52c6fe6
--- /dev/null
+++ b/results/train/ellipse/problem_4524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ce8515af070f9314a5a13655bc2ebd3b179dc663cc5f335874ea3672bbef5d5
+size 217679
diff --git a/results/train/ellipse/problem_4534.png b/results/train/ellipse/problem_4534.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1f9b985f300e33f0901a3661311261344168b28
--- /dev/null
+++ b/results/train/ellipse/problem_4534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:119bc37cc08d5902f1ac440ec651b3161f5e6e97ca7da1a9691deb7f07331680
+size 210508
diff --git a/results/train/ellipse/problem_4540.png b/results/train/ellipse/problem_4540.png
new file mode 100644
index 0000000000000000000000000000000000000000..d81fe144951be12db36d3b799817256993b02fc7
--- /dev/null
+++ b/results/train/ellipse/problem_4540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e996f3ecc2006ff3227931398c36bbda290808fadb2c71381f9ff97f59b0ade8
+size 222716
diff --git a/results/train/ellipse/problem_4548.png b/results/train/ellipse/problem_4548.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c48dba340d14f25e0b2f7f33100829fad0e31c0
--- /dev/null
+++ b/results/train/ellipse/problem_4548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f932c5005a1da4db1b2dee3dabc621c47a9d054feacccc0641e66de4541b423
+size 215002
diff --git a/results/train/ellipse/problem_4555.png b/results/train/ellipse/problem_4555.png
new file mode 100644
index 0000000000000000000000000000000000000000..94ed596a72792a6d89f0855da2140e05de32b8ce
--- /dev/null
+++ b/results/train/ellipse/problem_4555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:671d12a81cf298eb45b1ddcb2d6e4ceba47c2de03f4d33741468ef0c37c83aa2
+size 222354
diff --git a/results/train/ellipse/problem_4565.png b/results/train/ellipse/problem_4565.png
new file mode 100644
index 0000000000000000000000000000000000000000..22f06d927062326bd1b0f385bb750ec949de84f0
--- /dev/null
+++ b/results/train/ellipse/problem_4565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:918419bbf2a1d3883c8a17cbb29543cc3aa453391dfa638440f5c6d15203a200
+size 222463
diff --git a/results/train/ellipse/problem_4566.png b/results/train/ellipse/problem_4566.png
new file mode 100644
index 0000000000000000000000000000000000000000..0aa42d52991c1d5231cf216f73eddb6bf5b1181e
--- /dev/null
+++ b/results/train/ellipse/problem_4566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6dae2815a7dab94d1e439cf1d8e78df8a2e7a2907b44cf6deb0daf4461172caf
+size 218030
diff --git a/results/train/ellipse/problem_4569.png b/results/train/ellipse/problem_4569.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cc40edcf78bb3e0f973136cdfc86747d6c11eff
--- /dev/null
+++ b/results/train/ellipse/problem_4569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:508d487664dae209030e315e58229cb675787c3ee5b4ef459c5ab5c15d64efe4
+size 224571
diff --git a/results/train/ellipse/problem_4574.png b/results/train/ellipse/problem_4574.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d3ccf8d8660c6e6076453f83c779b5c726f62dd
--- /dev/null
+++ b/results/train/ellipse/problem_4574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fad6a6456587efab51bebaf3dffdf56ba20196e810207758939e07c70870ae57
+size 229312
diff --git a/results/train/ellipse/problem_4575.png b/results/train/ellipse/problem_4575.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb3281488a387b3964d38bb1dfdffac5144e4bed
--- /dev/null
+++ b/results/train/ellipse/problem_4575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d551bf9dd0bd7137f8c7a86307aa9b3af83744129e8a190f7b809918ceab66fc
+size 215569
diff --git a/results/train/ellipse/problem_4578.png b/results/train/ellipse/problem_4578.png
new file mode 100644
index 0000000000000000000000000000000000000000..46c4df23d399c9b61146c55eb9a0fda4191d478b
--- /dev/null
+++ b/results/train/ellipse/problem_4578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bfcf0f841bc379e7562c728a48f8682fa8595d9c0d3912d2f425faeea1747a3
+size 219442
diff --git a/results/train/ellipse/problem_4580.png b/results/train/ellipse/problem_4580.png
new file mode 100644
index 0000000000000000000000000000000000000000..a74c8a2f040dccd1773ede367102f4f7b7f14a59
--- /dev/null
+++ b/results/train/ellipse/problem_4580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d1b27aa936af41a2d8eabd84a5c464ffa34088abd6154b5352d6cd8b84c4f5
+size 222867
diff --git a/results/train/ellipse/problem_4585.png b/results/train/ellipse/problem_4585.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe50a3efc513ca90e54263f6e92220dda31e7157
--- /dev/null
+++ b/results/train/ellipse/problem_4585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfe97751636209a2fa31fa0ab462c3d085178ce65e658f6a91e4bd2da894856b
+size 217899
diff --git a/results/train/ellipse/problem_4587.png b/results/train/ellipse/problem_4587.png
new file mode 100644
index 0000000000000000000000000000000000000000..7efb5e273077ffda65259b218c0bafdc9f400e39
--- /dev/null
+++ b/results/train/ellipse/problem_4587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:431202cee248798da68e533523961a9c0376bd5a5393b3f4ed6d2618157d5db1
+size 222748
diff --git a/results/train/ellipse/problem_4588.png b/results/train/ellipse/problem_4588.png
new file mode 100644
index 0000000000000000000000000000000000000000..94d5a3b3bc9bd769c32c620502d7cd005a160241
--- /dev/null
+++ b/results/train/ellipse/problem_4588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bc2b52ebce533a4b2e2c8a9c650ebb78624c6eb5c4514f29d79229bf39fa984
+size 216707
diff --git a/results/train/ellipse/problem_4594.png b/results/train/ellipse/problem_4594.png
new file mode 100644
index 0000000000000000000000000000000000000000..35297a0082b2ee94714879513b72bddfe98ee5f4
--- /dev/null
+++ b/results/train/ellipse/problem_4594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06737892ff8f7244524309e1040f163132a0c6a91cc0888df2f69aeee9dcdaaa
+size 213296
diff --git a/results/train/ellipse/problem_4602.png b/results/train/ellipse/problem_4602.png
new file mode 100644
index 0000000000000000000000000000000000000000..df1a80f4196201577f8af334087e9074cdf290d8
--- /dev/null
+++ b/results/train/ellipse/problem_4602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d11867359f787f28e42f32239ce561af2f70a38d0571ae8789653cc62031a2eb
+size 218966
diff --git a/results/train/ellipse/problem_4617.png b/results/train/ellipse/problem_4617.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e5cb820bfe4d404bf9a475aa20fdf00c1c24b59
--- /dev/null
+++ b/results/train/ellipse/problem_4617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88cec07cd2446062591f70f6e21616c0b75d8bca8f4a974acfda03d783e19e3b
+size 212930
diff --git a/results/train/ellipse/problem_4618.png b/results/train/ellipse/problem_4618.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc82ce52572b5de86177a18f706a88f6300ee3aa
--- /dev/null
+++ b/results/train/ellipse/problem_4618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13f1345b0a949ce1228b1ea690000c2f396c5a462772c660dadf26d095f7e201
+size 218040
diff --git a/results/train/ellipse/problem_4620.png b/results/train/ellipse/problem_4620.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c0b909f50ad25f51d7a2c5876a823a8bd544e9a
--- /dev/null
+++ b/results/train/ellipse/problem_4620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c89f505c4c64f541f2ede59aef48eee17c876c5169bc18423fb35195fd47babf
+size 223454
diff --git a/results/train/ellipse/problem_4624.png b/results/train/ellipse/problem_4624.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e75fce920dfe96e2dbb9987699c8ac2bd3069ad
--- /dev/null
+++ b/results/train/ellipse/problem_4624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3bbffa40bcce69b1110a3116565d1f5318cf3e702631ebbc0ba2eacb7402328
+size 235637
diff --git a/results/train/ellipse/problem_4625.png b/results/train/ellipse/problem_4625.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e00ebe47a208dee0bf2fb3533b537cc2b6e4090
--- /dev/null
+++ b/results/train/ellipse/problem_4625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65ec87585e15c1d9ace6f14ed8afa8208e6e62ddb31b19174ca4b0d588313d58
+size 220193
diff --git a/results/train/ellipse/problem_4626.png b/results/train/ellipse/problem_4626.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d7dbed1ce49e13b812094f5b32bef2ca9aaeb71
--- /dev/null
+++ b/results/train/ellipse/problem_4626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67f00cc869229f599baf21e5a4a88c3779d1703c8c373217a6159bdda80ee61b
+size 224737
diff --git a/results/train/ellipse/problem_4631.png b/results/train/ellipse/problem_4631.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f283d303bbb1b82f29dfae7353a4c8ba2430a43
--- /dev/null
+++ b/results/train/ellipse/problem_4631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b78051715b86565fa2763eb3c8459b129f94c1b168611d71089765bfd064cdc
+size 231665
diff --git a/results/train/ellipse/problem_4638.png b/results/train/ellipse/problem_4638.png
new file mode 100644
index 0000000000000000000000000000000000000000..d031524f9e6f4562eeb72284faec769ed2f76bfa
--- /dev/null
+++ b/results/train/ellipse/problem_4638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acc8d2f9652ee795dea5a813a14a5c8544edf0906a8842f25b2b14f186d4f80c
+size 209537
diff --git a/results/train/ellipse/problem_4646.png b/results/train/ellipse/problem_4646.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb530daebfb3b7856d55f9fdb18a236d914da224
--- /dev/null
+++ b/results/train/ellipse/problem_4646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91769eed766ed23aeceba860ee0cbf001ad106e1fec20c6890200650173f11ea
+size 219445
diff --git a/results/train/ellipse/problem_4652.png b/results/train/ellipse/problem_4652.png
new file mode 100644
index 0000000000000000000000000000000000000000..f055d5b50d2475591f3893f18f74355da1e90ad0
--- /dev/null
+++ b/results/train/ellipse/problem_4652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0d8e5ddf22e10112b102f0c2ba76ce68ae09274abdefc9a210f5f3a629c1c72
+size 241796
diff --git a/results/train/ellipse/problem_4654.png b/results/train/ellipse/problem_4654.png
new file mode 100644
index 0000000000000000000000000000000000000000..449cd045d9116d6caad8419ea4aeaa109c2badf3
--- /dev/null
+++ b/results/train/ellipse/problem_4654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b9d68fc5533906eb1dcc6d1aea808ae3f54a9e1f21b5f445d777da44feac2fd
+size 191582
diff --git a/results/train/ellipse/problem_4656.png b/results/train/ellipse/problem_4656.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a5df39f421d2ea7f13d882b7e400fa79f3dbe5e
--- /dev/null
+++ b/results/train/ellipse/problem_4656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c9f1ddcbcfe2f5981d59b3283f0b416ef972e85248dc8c294dab5e60bdda383
+size 233480
diff --git a/results/train/ellipse/problem_4665.png b/results/train/ellipse/problem_4665.png
new file mode 100644
index 0000000000000000000000000000000000000000..baa49b31ab6f18afecbc3bf55e036fd04d4ab888
--- /dev/null
+++ b/results/train/ellipse/problem_4665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4818713398c3a2c9c8af38ba5791002faaa1a00d39ddbadf235fa4b72b30df9
+size 199063
diff --git a/results/train/ellipse/problem_4676.png b/results/train/ellipse/problem_4676.png
new file mode 100644
index 0000000000000000000000000000000000000000..868d45badf4486b76dde703f052e712871249657
--- /dev/null
+++ b/results/train/ellipse/problem_4676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab347b332fe6d9e7c6a2b4050a48f842fd6b0b1735c69dc12bad00096e3c374d
+size 196303
diff --git a/results/train/ellipse/problem_4682.png b/results/train/ellipse/problem_4682.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b0a0c754c64e40d8cbf53ae960b22c5bcc2a543
--- /dev/null
+++ b/results/train/ellipse/problem_4682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9711fe61bba77e237b8c578d382505ee8b76744e39ab747b3f56a4c12066a17a
+size 216584
diff --git a/results/train/ellipse/problem_4683.png b/results/train/ellipse/problem_4683.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ac00f641a898f0771180d8934a7f15e47971581
--- /dev/null
+++ b/results/train/ellipse/problem_4683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8292bd98c1bce182dc476a7bd38c715b2e5c5cd6acebab6530053556ae3530e6
+size 232776
diff --git a/results/train/ellipse/problem_4690.png b/results/train/ellipse/problem_4690.png
new file mode 100644
index 0000000000000000000000000000000000000000..c421a086e82341bbfcb8aa4203c25d59b95ab8b5
--- /dev/null
+++ b/results/train/ellipse/problem_4690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37096d807b67eee9174e77bfc328c0bce13c861855980f0b5da26391b425d520
+size 225435
diff --git a/results/train/ellipse/problem_4691.png b/results/train/ellipse/problem_4691.png
new file mode 100644
index 0000000000000000000000000000000000000000..918030abcf15cf5690482a586ba8bab4c25ff187
--- /dev/null
+++ b/results/train/ellipse/problem_4691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c82567096db0cb88c0e86b799cddc19417230f79dc95bd45d35313c262d34234
+size 221628
diff --git a/results/train/ellipse/problem_4700.png b/results/train/ellipse/problem_4700.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c74a72b9b5356824fa570b1f0d784b2c7d05cb8
--- /dev/null
+++ b/results/train/ellipse/problem_4700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:459fd9601a1bae5a68d9b971ece39f04f0d891d7c398c22ec8f2dd070fdcd992
+size 219442
diff --git a/results/train/ellipse/problem_4703.png b/results/train/ellipse/problem_4703.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd851ca65b26d3dab42b250f94e5e144097f9915
--- /dev/null
+++ b/results/train/ellipse/problem_4703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3363663dde16221e940c219fd01b6d080835a44ff28492e96916f73db863447
+size 231890
diff --git a/results/train/ellipse/problem_4708.png b/results/train/ellipse/problem_4708.png
new file mode 100644
index 0000000000000000000000000000000000000000..f03ac084aae555df91fcf95ee40c386122f5d95e
--- /dev/null
+++ b/results/train/ellipse/problem_4708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b16c563db198ff61c715fe0b8d1ac93654a4bb3d82745ee1e9bc6342887d8fe
+size 192194
diff --git a/results/train/ellipse/problem_4710.png b/results/train/ellipse/problem_4710.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fc8883231e752f71e9b42bea095b5f0e53a60f1
--- /dev/null
+++ b/results/train/ellipse/problem_4710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d51ffa7a2e860d5a6005d72dbe98498d83b464426517bd515f303422bb46f9cf
+size 225902
diff --git a/results/train/ellipse/problem_4711.png b/results/train/ellipse/problem_4711.png
new file mode 100644
index 0000000000000000000000000000000000000000..18036e162be1f2ce2d684dbb49421f3ba0780b58
--- /dev/null
+++ b/results/train/ellipse/problem_4711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1fbf7536a77a31ad468bdb4efc4550722875bc12c815b6172d5d4944a68c6c0
+size 224953
diff --git a/results/train/ellipse/problem_4714.png b/results/train/ellipse/problem_4714.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5b49ff18333cdd6767af18a7bfe7497630ddf5f
--- /dev/null
+++ b/results/train/ellipse/problem_4714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:215a5dd0255a47e1d537a92689d502f28cf42c19e859776d5fca40f78a51eb44
+size 209709
diff --git a/results/train/ellipse/problem_4723.png b/results/train/ellipse/problem_4723.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc180ee82496c0346f7814b94dbe4c354df37ecc
--- /dev/null
+++ b/results/train/ellipse/problem_4723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5b780035c57dedd268a712f9955165e79afd905bbd7bc1402022abd3fbbde4e
+size 215149
diff --git a/results/train/ellipse/problem_4724.png b/results/train/ellipse/problem_4724.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a011fd59e03e8d62f0bc27079ce3597b7bf8126
--- /dev/null
+++ b/results/train/ellipse/problem_4724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c83fa82fa6fc5270cc6f605f42305e788d522ba6f5dd20eb19b4c04c4fb453f
+size 227006
diff --git a/results/train/ellipse/problem_4725.png b/results/train/ellipse/problem_4725.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ea2712aff22f9ae0073d9e032fd33c1fa0d4dcf
--- /dev/null
+++ b/results/train/ellipse/problem_4725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49bdca77caada97d7056d12aa69c6d7a5014bf36d07c8d1aa60cd23cf2d0581d
+size 234743
diff --git a/results/train/ellipse/problem_4737.png b/results/train/ellipse/problem_4737.png
new file mode 100644
index 0000000000000000000000000000000000000000..8955aa5c44e081315c02869301f13fca3b9e97fa
--- /dev/null
+++ b/results/train/ellipse/problem_4737.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a79eb408c27b0c74c6723247086487443c12e94771e3dc3c552d3df074490f3f
+size 213072
diff --git a/results/train/ellipse/problem_4742.png b/results/train/ellipse/problem_4742.png
new file mode 100644
index 0000000000000000000000000000000000000000..76dbb6e9e0de0ab3c0e08622d40a5f793f187593
--- /dev/null
+++ b/results/train/ellipse/problem_4742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecd1488553a353a6b7e5e524452cd5ef458bbc7664a67562370b460708fd6442
+size 232029
diff --git a/results/train/ellipse/problem_4745.png b/results/train/ellipse/problem_4745.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b9758f82205bf7577cd4f395198ca247865721c
--- /dev/null
+++ b/results/train/ellipse/problem_4745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0cf1a4f954b4647ee4682c28b7a6981b4fb2d64d2fdf0ca587d163fedfb5ea7a
+size 222819
diff --git a/results/train/ellipse/problem_4752.png b/results/train/ellipse/problem_4752.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f371a7adaba5e90ba469baba5b6584660fcd621
--- /dev/null
+++ b/results/train/ellipse/problem_4752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69bf5d903e54573b2a0cc810595dbc2b9e105a8511c489d4b05a95e1cdafb4e0
+size 223154
diff --git a/results/train/ellipse/problem_4757.png b/results/train/ellipse/problem_4757.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa3f9fd8c77a9132e5f225ede94101b5a27e26f6
--- /dev/null
+++ b/results/train/ellipse/problem_4757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c4e0e0729581cbc37e8107b613b0d452609bcc87baf29754a70b0881f947410
+size 227035
diff --git a/results/train/ellipse/problem_4760.png b/results/train/ellipse/problem_4760.png
new file mode 100644
index 0000000000000000000000000000000000000000..92ae927ddd9aef3c6d4aa032ae6e58e74b4fc667
--- /dev/null
+++ b/results/train/ellipse/problem_4760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53667e4c9800e3db9a33e8fc9f6b99a5590da0e48d8ce7956dcc1d470d901555
+size 193281
diff --git a/results/train/ellipse/problem_4762.png b/results/train/ellipse/problem_4762.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dbec1c086cb7829dad7fb92ae4cced48381ba68
--- /dev/null
+++ b/results/train/ellipse/problem_4762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f03c0c58afd1836d389daa9833caaf936221e4281eac8297ccf179dcd5d0e0c1
+size 212989
diff --git a/results/train/ellipse/problem_4769.png b/results/train/ellipse/problem_4769.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca555bcf76944625d487b4228c536bb0800ac24a
--- /dev/null
+++ b/results/train/ellipse/problem_4769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f7b9d598e71a2bf76ed490ce2e6abd4143b5b8f5d54fd095799c19f9a2b4a39
+size 232881
diff --git a/results/train/ellipse/problem_4774.png b/results/train/ellipse/problem_4774.png
new file mode 100644
index 0000000000000000000000000000000000000000..e846a486d356e30826ecfe4c8826f1bbd2179481
--- /dev/null
+++ b/results/train/ellipse/problem_4774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e77df2066857d7301d4f6fd43d56f44102323fb77dbd6e632e90431c08126943
+size 214618
diff --git a/results/train/ellipse/problem_4779.png b/results/train/ellipse/problem_4779.png
new file mode 100644
index 0000000000000000000000000000000000000000..de44b4458156d00c17dd6791730a6136090fe03b
--- /dev/null
+++ b/results/train/ellipse/problem_4779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69211b52091d7d9065a94a9a308bc4896aeba1725d7f924d90c083a158c37be9
+size 227025
diff --git a/results/train/ellipse/problem_4785.png b/results/train/ellipse/problem_4785.png
new file mode 100644
index 0000000000000000000000000000000000000000..35d0831e0d02c021814fd590908a9759aeba829d
--- /dev/null
+++ b/results/train/ellipse/problem_4785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34d5febd1ea5807f7395ac8ee5dd0f739b8984e84111c03f6cd1c0227c34a42f
+size 219141
diff --git a/results/train/ellipse/problem_4791.png b/results/train/ellipse/problem_4791.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3fd77f79f0ed48d94553af16dd84a85f1cf5f25
--- /dev/null
+++ b/results/train/ellipse/problem_4791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:148f6fa9e62b07b392f85746f05d03f8c6d8fe2c3050c87e691ddd4a5170ce34
+size 229201
diff --git a/results/train/ellipse/problem_4793.png b/results/train/ellipse/problem_4793.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6d4bcc1c3e2f7068defd5bfb0ecbb137df8549d
--- /dev/null
+++ b/results/train/ellipse/problem_4793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3b3b5f5f9087147189dea320870e140cafcf15f0d6698301186e68f72492763
+size 223670
diff --git a/results/train/ellipse/problem_4794.png b/results/train/ellipse/problem_4794.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5c6ec56828aa2e6e9f30dd5a1175bda81664ac5
--- /dev/null
+++ b/results/train/ellipse/problem_4794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8887a9675e6b5cfa5a39ae6c53613e2155dba662e2a5efd4cecca75ec4fe264a
+size 193133
diff --git a/results/train/ellipse/problem_4799.png b/results/train/ellipse/problem_4799.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a5bc52f727df0198c4322d6b71d1a01f9a82f34
--- /dev/null
+++ b/results/train/ellipse/problem_4799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff482d62b3c74de0c3f724d2560d366c4ced20d0e43c728197915bcef98948d2
+size 233481
diff --git a/results/train/ellipse/problem_4802.png b/results/train/ellipse/problem_4802.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4f8dba5b72614b68ed93305bfed4bafef57b063
--- /dev/null
+++ b/results/train/ellipse/problem_4802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b09b9b18b5e85380d74a759461f39a7fcc7cbf4f71fc343c4ebbf2992d3fa2e
+size 235853
diff --git a/results/train/ellipse/problem_4804.png b/results/train/ellipse/problem_4804.png
new file mode 100644
index 0000000000000000000000000000000000000000..8de17af7e5f28a6a604318d7f00c64778ef24ef7
--- /dev/null
+++ b/results/train/ellipse/problem_4804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:742f9e1ed81135f5cb063c7ff7a06962975b64463cdb822636d502f7f9b39db5
+size 183485
diff --git a/results/train/ellipse/problem_4806.png b/results/train/ellipse/problem_4806.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4da680828b1619dbd530d69a94a007cd844aecf
--- /dev/null
+++ b/results/train/ellipse/problem_4806.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30c36c46a4da44d359834f9b8681e14720e908edd57f6758795f0e1c7e69fab0
+size 220871
diff --git a/results/train/ellipse/problem_4809.png b/results/train/ellipse/problem_4809.png
new file mode 100644
index 0000000000000000000000000000000000000000..f81dab01509ffe2c1d60ff54b0c7d174d8b30052
--- /dev/null
+++ b/results/train/ellipse/problem_4809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a13541277aff768f0e3c84e16f79ef94488170e9f33c7bd65f66bf2e37cf4420
+size 226197
diff --git a/results/train/ellipse/problem_4810.png b/results/train/ellipse/problem_4810.png
new file mode 100644
index 0000000000000000000000000000000000000000..1923d2d38747f558f9d2322ad498a8dcdca811c5
--- /dev/null
+++ b/results/train/ellipse/problem_4810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76cbea549be2503ed0cb0a0b9168566ac02e90972f6b14ebe2a40c22c357259c
+size 219052
diff --git a/results/train/ellipse/problem_4811.png b/results/train/ellipse/problem_4811.png
new file mode 100644
index 0000000000000000000000000000000000000000..628408862835e1a30a1de22852f96628363c9d06
--- /dev/null
+++ b/results/train/ellipse/problem_4811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41ae9e3e4bf6af1ab43b54b732b9ea80bb9c618c3386ba70d6694b57ac84a7be
+size 222464
diff --git a/results/train/ellipse/problem_4818.png b/results/train/ellipse/problem_4818.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9f9b6c200400ad96643757914354052dadefdb2
--- /dev/null
+++ b/results/train/ellipse/problem_4818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c45bb87d774f01d374dad4f7b443f1e832e85074d31ca9aecffd2e34eee1a460
+size 225484
diff --git a/results/train/ellipse/problem_4820.png b/results/train/ellipse/problem_4820.png
new file mode 100644
index 0000000000000000000000000000000000000000..7abbd261fca27f1b2e3fc20b3ef470b80c5e4973
--- /dev/null
+++ b/results/train/ellipse/problem_4820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12aa4eb6e82fb46df84915fcea554066236839a9f6e1755671336f78d3b39b81
+size 217988
diff --git a/results/train/ellipse/problem_4822.png b/results/train/ellipse/problem_4822.png
new file mode 100644
index 0000000000000000000000000000000000000000..486511981d16d51a304b987aac482693d2f133f5
--- /dev/null
+++ b/results/train/ellipse/problem_4822.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99a0d2b54cd6b0b262a30b2ab0446722b526ea1583f42dabd6d07c33eeaa01dc
+size 235531
diff --git a/results/train/ellipse/problem_4831.png b/results/train/ellipse/problem_4831.png
new file mode 100644
index 0000000000000000000000000000000000000000..d59f382055451139af1fb69859ae19deec92d41a
--- /dev/null
+++ b/results/train/ellipse/problem_4831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34a637586fd4fa83661ea75db28150f1c387f8c73802a1ee3cc66fbc1a5ba2d1
+size 233089
diff --git a/results/train/ellipse/problem_4834.png b/results/train/ellipse/problem_4834.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb4273465308f60ef49dd615c600833f16a8ef6b
--- /dev/null
+++ b/results/train/ellipse/problem_4834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f789ca7dc38abd2ca2c9896c202ca908b8f0d364ac07e53741ee38853a59cf9
+size 229818
diff --git a/results/train/ellipse/problem_4836.png b/results/train/ellipse/problem_4836.png
new file mode 100644
index 0000000000000000000000000000000000000000..423a93fcbac44bd6f6aa1056453a7075b64f11da
--- /dev/null
+++ b/results/train/ellipse/problem_4836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:452b0b9f481cd046b0593733517c1c424dd8741d75a65e5dc0c84411e6c8ccc3
+size 198583
diff --git a/results/train/ellipse/problem_4837.png b/results/train/ellipse/problem_4837.png
new file mode 100644
index 0000000000000000000000000000000000000000..dab60039fce2f8b3a48329c146af3e12c12c56e4
--- /dev/null
+++ b/results/train/ellipse/problem_4837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6e6866a4f7b414896350be2770e8fe076e095fb2dc38bd4227afe0d5eebeddc
+size 216572
diff --git a/results/train/ellipse/problem_4838.png b/results/train/ellipse/problem_4838.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2f253cc0630533af7a99bcbf1bad8a3a7d1a791
--- /dev/null
+++ b/results/train/ellipse/problem_4838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96af11cfa666b746a885d588c56ebea62309a3d55b26a1de8a346bce1a4187ab
+size 206950
diff --git a/results/train/ellipse/problem_4840.png b/results/train/ellipse/problem_4840.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fef94d7f2c3b0e0f555df4eb7bd0ee8ab488571
--- /dev/null
+++ b/results/train/ellipse/problem_4840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2016775924164b222a3488e0fadaa5c299fddb6c94855acc71a783e64db1e9f0
+size 237683
diff --git a/results/train/ellipse/problem_4846.png b/results/train/ellipse/problem_4846.png
new file mode 100644
index 0000000000000000000000000000000000000000..93ccb18768e1814456ad6b488822435a548d5702
--- /dev/null
+++ b/results/train/ellipse/problem_4846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab6b76321c65c74e8e6b052549ac018c9e072260e164209fda0293308f666668
+size 224733
diff --git a/results/train/ellipse/problem_4850.png b/results/train/ellipse/problem_4850.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c115a064cfaf4d90a637b5713991dda34bfafb5
--- /dev/null
+++ b/results/train/ellipse/problem_4850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bfabf6d4987448795573df0741de85263c4b758454c8a4a54b2a8877bccdca4
+size 233864
diff --git a/results/train/ellipse/problem_4853.png b/results/train/ellipse/problem_4853.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9adbfae56ce2365cabdbb6309bb85ac7572735a
--- /dev/null
+++ b/results/train/ellipse/problem_4853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1f16470905f16d5c0b755b9252d989b56788e926c83a538651ca1786fe72021
+size 206707
diff --git a/results/train/ellipse/problem_4854.png b/results/train/ellipse/problem_4854.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2a29a2cfdb5f5b8691cf959900734201671e3be
--- /dev/null
+++ b/results/train/ellipse/problem_4854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86396f866b2bb85e31f5aa483794d3ac9e1ae1b195f90c8b86777b4bcadfabcb
+size 222289
diff --git a/results/train/ellipse/problem_4856.png b/results/train/ellipse/problem_4856.png
new file mode 100644
index 0000000000000000000000000000000000000000..ccb4cb26a251407e4d2ad77a80df8eda30cd8a49
--- /dev/null
+++ b/results/train/ellipse/problem_4856.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5b8942399a122f7362ababe6f32af6ae9bf18f2f1a43b3125a31e91795f1abf
+size 226275
diff --git a/results/train/ellipse/problem_4860.png b/results/train/ellipse/problem_4860.png
new file mode 100644
index 0000000000000000000000000000000000000000..df74a6a52c2aaac8ad80986a325ee9761a3b6abe
--- /dev/null
+++ b/results/train/ellipse/problem_4860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2cdc7719a14dd56f4142e12fe700e498245ed0eb7e27e10abb55bb3dd6254bf
+size 219537
diff --git a/results/train/ellipse/problem_4866.png b/results/train/ellipse/problem_4866.png
new file mode 100644
index 0000000000000000000000000000000000000000..413c244668f60b738e2d427ad4e17893694eec23
--- /dev/null
+++ b/results/train/ellipse/problem_4866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e318e00477bd49e18883b84c0120b64231a7e85a8c5df28c52d981162efe795
+size 223898
diff --git a/results/train/ellipse/problem_4869.png b/results/train/ellipse/problem_4869.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2ac957352d95c737bd62231625fd1e9fcd32dd2
--- /dev/null
+++ b/results/train/ellipse/problem_4869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:893151b439599bdc0f7e9347feec74589200fadcc1f853eaaaad682c09f83126
+size 219453
diff --git a/results/train/ellipse/problem_4877.png b/results/train/ellipse/problem_4877.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1fd632bd1ae8f1174c4f3491981bfc50aef6697
--- /dev/null
+++ b/results/train/ellipse/problem_4877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92a75c7dc238f5e269f68e8f8b60b76b9c4205ae3f48a5d434e8a014bb496251
+size 193924
diff --git a/results/train/ellipse/problem_4879.png b/results/train/ellipse/problem_4879.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d3ca92265711686e89906d44ca106acd0dc03ea
--- /dev/null
+++ b/results/train/ellipse/problem_4879.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8c499094532e9426a2d7d990e8000e62a803feba5ecdaebb2c78aa72bf586c8
+size 200555
diff --git a/results/train/ellipse/problem_4880.png b/results/train/ellipse/problem_4880.png
new file mode 100644
index 0000000000000000000000000000000000000000..a41cebfe7f49cd553baf8adc394b5bb69150e631
--- /dev/null
+++ b/results/train/ellipse/problem_4880.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b90a3b7a5cc0aeaaffc3d85d983b444d252788c6a1e448462ba46545fac9eb9
+size 228593
diff --git a/results/train/ellipse/problem_4883.png b/results/train/ellipse/problem_4883.png
new file mode 100644
index 0000000000000000000000000000000000000000..e97e66fbc94bf5351893b507a0c11ab79b07d44e
--- /dev/null
+++ b/results/train/ellipse/problem_4883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b030abfee740ef9fcbeb3345000eb183ee32740f67a996827ec70557245a426
+size 215032
diff --git a/results/train/ellipse/problem_4887.png b/results/train/ellipse/problem_4887.png
new file mode 100644
index 0000000000000000000000000000000000000000..1807316bf06b0d3104cca136c214597608fee700
--- /dev/null
+++ b/results/train/ellipse/problem_4887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49b55c33dd8357cb7f39d52293b8fa3fbce96a6715923fb3aa5b1ae4fd86a882
+size 216942
diff --git a/results/train/ellipse/problem_4888.png b/results/train/ellipse/problem_4888.png
new file mode 100644
index 0000000000000000000000000000000000000000..3675b5b24e8721e15c8c9fb8c335f48a9a1cb9bd
--- /dev/null
+++ b/results/train/ellipse/problem_4888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e447317e4ecce167bf44aa9dec3e65f4a293367ccb0e8cacdfdd21590923c258
+size 217472
diff --git a/results/train/ellipse/problem_4889.png b/results/train/ellipse/problem_4889.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d5e49d6cfe83445bc842b40f603d171f14fd29
--- /dev/null
+++ b/results/train/ellipse/problem_4889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d807aa3e89d551f2b510f84168a6a83b52e67db074aafcf598d82923c200a45
+size 227990
diff --git a/results/train/ellipse/problem_4890.png b/results/train/ellipse/problem_4890.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d4e4e2b33140b136338c3017b70501b82134d4
--- /dev/null
+++ b/results/train/ellipse/problem_4890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7621dec790809cea304e215c4899dc4dd9a05ad4ea199233cebcc3319ffc4592
+size 221104
diff --git a/results/train/ellipse/problem_4894.png b/results/train/ellipse/problem_4894.png
new file mode 100644
index 0000000000000000000000000000000000000000..32bd02f04e953261a81a4cd591a1d2b0b321e27f
--- /dev/null
+++ b/results/train/ellipse/problem_4894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa18c20e9f0a03410aa31f45833c44df1f9808f8b9d545e2b218c22b9895cb8e
+size 223078
diff --git a/results/train/ellipse/problem_4895.png b/results/train/ellipse/problem_4895.png
new file mode 100644
index 0000000000000000000000000000000000000000..7198c0bcc9ea1966a8d35475d649b23717c18683
--- /dev/null
+++ b/results/train/ellipse/problem_4895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad18a3fac4ef6dea809d246e865a3e1418308fa18c9f6c33755e54a37255841f
+size 230252
diff --git a/results/train/ellipse/problem_4909.png b/results/train/ellipse/problem_4909.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c0df10fe5682d3461a7cacfdeaac59f6a2c4f76
--- /dev/null
+++ b/results/train/ellipse/problem_4909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96ce53f1be53e1e93bb8d5f21747248ad34b755be5c1f231fc22a5dd853ed648
+size 224064
diff --git a/results/train/ellipse/problem_4921.png b/results/train/ellipse/problem_4921.png
new file mode 100644
index 0000000000000000000000000000000000000000..db60fc42d703b8ad264e58cb0f85a270a0b5e25f
--- /dev/null
+++ b/results/train/ellipse/problem_4921.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0c2dd100f4751831a447fecad5d4c7ab99b744094717cb927be68790084ebba
+size 217101
diff --git a/results/train/ellipse/problem_4925.png b/results/train/ellipse/problem_4925.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec07769040ec7bedae7856771d291c82eabffb04
--- /dev/null
+++ b/results/train/ellipse/problem_4925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f87e8bf4012689772393f7af25f595f2ac903fb2969d943536df486f099e7bb
+size 219396
diff --git a/results/train/ellipse/problem_4926.png b/results/train/ellipse/problem_4926.png
new file mode 100644
index 0000000000000000000000000000000000000000..b23528768d083b9eb4c3aa0ff0924ef72539d6cb
--- /dev/null
+++ b/results/train/ellipse/problem_4926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f77994873cdb7f423bc717fe4fab03780aaf32fd8c5fb03368e0797d2ca2fbf
+size 221295
diff --git a/results/train/ellipse/problem_4929.png b/results/train/ellipse/problem_4929.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e5ecdc95b3ca45feca99336eedbf805abc7a184
--- /dev/null
+++ b/results/train/ellipse/problem_4929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28497302ff08e843807d276dbf1181b32c80e3e500a4d0c28d57de137c941287
+size 216175
diff --git a/results/train/ellipse/problem_4931.png b/results/train/ellipse/problem_4931.png
new file mode 100644
index 0000000000000000000000000000000000000000..61510a5cfb0993e1cf42ebfb33c38d767da0ef87
--- /dev/null
+++ b/results/train/ellipse/problem_4931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7d7669b78c8b241acd35baabbde24bc5b4502f91be3959633fa3862d6545b6a
+size 219259
diff --git a/results/train/ellipse/problem_4941.png b/results/train/ellipse/problem_4941.png
new file mode 100644
index 0000000000000000000000000000000000000000..bdc3e0d1dad356ab5d5cfa60a8200fb2b51ac8f1
--- /dev/null
+++ b/results/train/ellipse/problem_4941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2de0d900d0fc3bd5e2ef9b7831185b743f4c05c19293fd277d853df88c573f39
+size 214402
diff --git a/results/train/ellipse/problem_4942.png b/results/train/ellipse/problem_4942.png
new file mode 100644
index 0000000000000000000000000000000000000000..08bb365e679bdf769a2a7bcf0cf43b64bb7d5bac
--- /dev/null
+++ b/results/train/ellipse/problem_4942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:972425a2eba10bf52e153ce8c4ebddf552e885b28f0100a286d075c4123ac839
+size 223130
diff --git a/results/train/ellipse/problem_4945.png b/results/train/ellipse/problem_4945.png
new file mode 100644
index 0000000000000000000000000000000000000000..49fe3875d74e751269fdf1a5418eace804653b84
--- /dev/null
+++ b/results/train/ellipse/problem_4945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:644965793d440bba6a1e72754564d2dd6b1dc66c2ee0b1a549ae88a4f5170468
+size 232642
diff --git a/results/train/ellipse/problem_4949.png b/results/train/ellipse/problem_4949.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e1279bb952673e4762dae31d31b6a46914817d2
--- /dev/null
+++ b/results/train/ellipse/problem_4949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e37f85a4eb2756ac3accfcb4994d78d0cbbf7a1bae6217c0d4b63e612691ccb4
+size 235514
diff --git a/results/train/ellipse/problem_4958.png b/results/train/ellipse/problem_4958.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f3e9e6da17f023bbce87e6c374a5bd2456fb613
--- /dev/null
+++ b/results/train/ellipse/problem_4958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29c1fe21155cb6f5243101ecaeea89b529a7783ce5d855a45f03016e51139819
+size 219508
diff --git a/results/train/ellipse/problem_4962.png b/results/train/ellipse/problem_4962.png
new file mode 100644
index 0000000000000000000000000000000000000000..0305136ab25f0ba0b99420699e3abf7dadb0c2b6
--- /dev/null
+++ b/results/train/ellipse/problem_4962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f48370fcbe31f02538448360418a68f1aca85422c959f50538561ba17d4d904
+size 223409
diff --git a/results/train/ellipse/problem_4973.png b/results/train/ellipse/problem_4973.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f2dd32427c0b7a85360f73ee5a7cb48db612f95
--- /dev/null
+++ b/results/train/ellipse/problem_4973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a25a80c09aaaadf0300ec355956de0da40f2a093f6ffb86b02c4b9bd8530e721
+size 220613
diff --git a/results/train/ellipse/problem_4976.png b/results/train/ellipse/problem_4976.png
new file mode 100644
index 0000000000000000000000000000000000000000..bea6c3c9cd57487b2a4574463a99054f25515ecf
--- /dev/null
+++ b/results/train/ellipse/problem_4976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b69c7b2476735e4a71803af337aa38bc786b7246496e1cebf584d97e613cd25e
+size 192428
diff --git a/results/train/ellipse/problem_4977.png b/results/train/ellipse/problem_4977.png
new file mode 100644
index 0000000000000000000000000000000000000000..12ddba9cb4108c7a6038a69d0c0b6bfe3cfd5a0f
--- /dev/null
+++ b/results/train/ellipse/problem_4977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b7a6936eaa30315e6c6379e9645b82d0b08de82b041b593cf5539ed5730b994
+size 233610
diff --git a/results/train/ellipse/problem_4978.png b/results/train/ellipse/problem_4978.png
new file mode 100644
index 0000000000000000000000000000000000000000..c370ab604d89b563c8a7b860b1e8e6eaa5ae0d54
--- /dev/null
+++ b/results/train/ellipse/problem_4978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0213a6593e1dc0d4163395ab0715fb9571dfbaa9b47141a4966d8687c22ce7b7
+size 217519
diff --git a/results/train/ellipse/problem_4983.png b/results/train/ellipse/problem_4983.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bd44ece9b42ddcfebd5628f73f3a7815c659304
--- /dev/null
+++ b/results/train/ellipse/problem_4983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:323b733e2de6f33c3cc7f63e115ba09aae4d840c7e715ca93ebd5962ed6500f0
+size 239215
diff --git a/results/train/ellipse/problem_4984.png b/results/train/ellipse/problem_4984.png
new file mode 100644
index 0000000000000000000000000000000000000000..679193d18263107c7d67906ead84b5e1fecbbe62
--- /dev/null
+++ b/results/train/ellipse/problem_4984.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:340a36efd4842a28c9dfa752c60424fb959cabdb23f6f63a4852a1897d9d2185
+size 231962
diff --git a/results/train/ellipse/problem_4987.png b/results/train/ellipse/problem_4987.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cd7abaa730c3828eaa093fe946106e4d75311de
--- /dev/null
+++ b/results/train/ellipse/problem_4987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:894f7fcc0d0b241eb6f5b9ea74a7366add43adad0a4e6a3cf3b8aec0907b8c46
+size 197968
diff --git a/results/train/ellipse/problem_4988.png b/results/train/ellipse/problem_4988.png
new file mode 100644
index 0000000000000000000000000000000000000000..27c953711982cbc4d5a952ffda9deace0e00a8b7
--- /dev/null
+++ b/results/train/ellipse/problem_4988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf2f4664281889c1c6764361984264528e664e50ed99962bff81d54a06f05bf0
+size 234977
diff --git a/results/train/ellipse/problem_4990.png b/results/train/ellipse/problem_4990.png
new file mode 100644
index 0000000000000000000000000000000000000000..034fda844089b5bc8ebb573c4b6128779b2790be
--- /dev/null
+++ b/results/train/ellipse/problem_4990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79599155c1c2a54ae43ae1c46c285093929e2f54bfab45fef6866ea164807a77
+size 233125
diff --git a/results/train/ellipse/problem_4992.png b/results/train/ellipse/problem_4992.png
new file mode 100644
index 0000000000000000000000000000000000000000..f93dbcc0f9a4b57a38805f8090b611c5192f995f
--- /dev/null
+++ b/results/train/ellipse/problem_4992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd4856aac686de7514b5a00db367f2526381facf22aef33aad00ef767f9a2893
+size 228400
diff --git a/results/train/ellipse/problem_4995.png b/results/train/ellipse/problem_4995.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0f41a61bb9c8c7e6044c275dae322d2d69b181e
--- /dev/null
+++ b/results/train/ellipse/problem_4995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c58b58a3a4d8f955c4ec26f1e27ee2d304e896844a25fc3cfcf514ace383ba85
+size 217184
diff --git a/results/train/ellipse/problem_5002.png b/results/train/ellipse/problem_5002.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4189a18619dfc794bfb867040d6d8ab6989d715
--- /dev/null
+++ b/results/train/ellipse/problem_5002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86efe3c13e470bad529d371e20b081a1478c18299998af7e10e762451f05053b
+size 195955
diff --git a/results/train/ellipse/problem_5006.png b/results/train/ellipse/problem_5006.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b52144d05b008590b56dcde234414688eafe0b1
--- /dev/null
+++ b/results/train/ellipse/problem_5006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7dfb8a728000a7960ad668a7e7839efd75b973f7bc5673380d5e6738c98140b4
+size 225135
diff --git a/results/train/ellipse/problem_5010.png b/results/train/ellipse/problem_5010.png
new file mode 100644
index 0000000000000000000000000000000000000000..a208ac5782b56e8f8590b176278f2bbed088482e
--- /dev/null
+++ b/results/train/ellipse/problem_5010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9adc008f6d4c871008beef14d7bb8c4b6fd51fc7c6b0d7586f84c47c68e35ea
+size 215703
diff --git a/results/train/ellipse/problem_5011.png b/results/train/ellipse/problem_5011.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f1377ffebf2014c9cc9d2e0db08ee559bf9e6e2
--- /dev/null
+++ b/results/train/ellipse/problem_5011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f93428b996e0f7bf0c6b8b56d00ce5cf6980d691c98ded7a57644113473fb9e3
+size 225390
diff --git a/results/train/ellipse/problem_5018.png b/results/train/ellipse/problem_5018.png
new file mode 100644
index 0000000000000000000000000000000000000000..393edef5b08d5f24904684bf8017aa0a2cb87055
--- /dev/null
+++ b/results/train/ellipse/problem_5018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c13a193bc2dc214b4d7db304cc879243da7ff61394f256f6d4f4c8fb3d47fd4
+size 184183
diff --git a/results/train/ellipse/problem_5026.png b/results/train/ellipse/problem_5026.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a619380044673795d0cb227ef5105792ae36bd8
--- /dev/null
+++ b/results/train/ellipse/problem_5026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e1aec6d2d87e35e614eed39213ca0a6e6eb998b41eb4c508cd34c5fc81a3989
+size 218594
diff --git a/results/train/ellipse/problem_5032.png b/results/train/ellipse/problem_5032.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2d1df8f71648fdbf6d3ea6531e789f373b5054f
--- /dev/null
+++ b/results/train/ellipse/problem_5032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:200749d4c037695c344fc06027a0fbdba903348178dacfb5f28b3c7b4a85c28f
+size 216062
diff --git a/results/train/ellipse/problem_5033.png b/results/train/ellipse/problem_5033.png
new file mode 100644
index 0000000000000000000000000000000000000000..5810bf15760d30d875b96837fbfe633bd68276c8
--- /dev/null
+++ b/results/train/ellipse/problem_5033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b9777155263d23297d4f6247a5fd441f5a1cecfdab7beb816ce4da143aadb95
+size 221282
diff --git a/results/train/ellipse/problem_5037.png b/results/train/ellipse/problem_5037.png
new file mode 100644
index 0000000000000000000000000000000000000000..abd46caea849d941a7b1ed39e7ed6924f361da5a
--- /dev/null
+++ b/results/train/ellipse/problem_5037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9eb4e05a6ec8eeff65411f9274856a16fdb32584b195f3dacac20905f0840b5a
+size 234280
diff --git a/results/train/ellipse/problem_5040.png b/results/train/ellipse/problem_5040.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc231ac811bbe99de5c0fa1004cf8e66f6309c53
--- /dev/null
+++ b/results/train/ellipse/problem_5040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14eee5bf54b82912abb9c5aab41d3b87760f20aa7843f52884b8758da0e8e248
+size 223414
diff --git a/results/train/ellipse/problem_5043.png b/results/train/ellipse/problem_5043.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd11585946775fbe6646030ab8a1bd42ed555289
--- /dev/null
+++ b/results/train/ellipse/problem_5043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a7efac214dffb98df2582a35757fedad7c98e6f4b986e3ad47e52564f322be0
+size 219392
diff --git a/results/train/ellipse/problem_5053.png b/results/train/ellipse/problem_5053.png
new file mode 100644
index 0000000000000000000000000000000000000000..2dedeb8aae45c10c4584339c83e5f6a6df3b403f
--- /dev/null
+++ b/results/train/ellipse/problem_5053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8864d7bb4262e67d8be333abfec19a24daa6f220deb7c121ef155945191d4a57
+size 209076
diff --git a/results/train/ellipse/problem_5060.png b/results/train/ellipse/problem_5060.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fbfb376f4e2e62a96592147d818592e16fffdee
--- /dev/null
+++ b/results/train/ellipse/problem_5060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d7a549aad90219301a612cda14f72f09f87f2e8ffeba28729ec30fae22e9a55
+size 217511
diff --git a/results/train/ellipse/problem_5062.png b/results/train/ellipse/problem_5062.png
new file mode 100644
index 0000000000000000000000000000000000000000..8921c24a2a6fbc80a7dc5f0ae4272766aa9c0215
--- /dev/null
+++ b/results/train/ellipse/problem_5062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31d0e3ff1bbf4e3150cc9d4150265dfe57d2b101ab986714498236d7a99502b1
+size 221718
diff --git a/results/train/ellipse/problem_5064.png b/results/train/ellipse/problem_5064.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ad774bb7e8b2dbd533037fcac9257e4b9ce324c
--- /dev/null
+++ b/results/train/ellipse/problem_5064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f18cd52fa2f4a11222c4efdeb3b4ac6c020b48dcaf5368186b2cb5cdd0709f7
+size 229562
diff --git a/results/train/ellipse/problem_5068.png b/results/train/ellipse/problem_5068.png
new file mode 100644
index 0000000000000000000000000000000000000000..93e7294b92865102f757a5f3d2d4016d8fd44644
--- /dev/null
+++ b/results/train/ellipse/problem_5068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83132bde02e7c3e003bc86d639831d4a86195e0f4a69e69298017fc36f03d067
+size 191371
diff --git a/results/train/ellipse/problem_5073.png b/results/train/ellipse/problem_5073.png
new file mode 100644
index 0000000000000000000000000000000000000000..e24fe1079ceb25a5edc71380a35c25d0df24d746
--- /dev/null
+++ b/results/train/ellipse/problem_5073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:277ada49cbeba775f7fed19ca51db1d9943f488abeb4715073210037616ecc92
+size 208113
diff --git a/results/train/ellipse/problem_5075.png b/results/train/ellipse/problem_5075.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fc738abfe386a9dd20851ddab4929934699906e
--- /dev/null
+++ b/results/train/ellipse/problem_5075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06232e6630e37a9befef3dd98391965116d1de7edc314db274cbe97c7525f4c6
+size 231874
diff --git a/results/train/ellipse/problem_5079.png b/results/train/ellipse/problem_5079.png
new file mode 100644
index 0000000000000000000000000000000000000000..62e6a387f246c68fd03a65d8de7ce8be3339b7c6
--- /dev/null
+++ b/results/train/ellipse/problem_5079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4afdb5f9b7852bb4410ce36880eab39ac0d100b5bd16aa8f46bee17e0fda3645
+size 212173
diff --git a/results/train/ellipse/problem_5080.png b/results/train/ellipse/problem_5080.png
new file mode 100644
index 0000000000000000000000000000000000000000..57d4f3f7cdb7fd03c1cb534e3d2e1b283db05f97
--- /dev/null
+++ b/results/train/ellipse/problem_5080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b10f4f92ba83270c8a11a7438c4232ab9be4e7310828ec61167528c2f858cca7
+size 230882
diff --git a/results/train/ellipse/problem_5081.png b/results/train/ellipse/problem_5081.png
new file mode 100644
index 0000000000000000000000000000000000000000..166a26f30535e370e7a83ed37877214601085dcd
--- /dev/null
+++ b/results/train/ellipse/problem_5081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f71f747d9858bfe787c0b7c57deb4aa60ee675925cfd36f9bee54e559f324a5e
+size 197195
diff --git a/results/train/ellipse/problem_5082.png b/results/train/ellipse/problem_5082.png
new file mode 100644
index 0000000000000000000000000000000000000000..03920a1f41a24d7f61284bb4cdd8c8e0513baa3c
--- /dev/null
+++ b/results/train/ellipse/problem_5082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d8e996a5ad88a736e0c448f45a447606381de6cb886a542232ed3ead8ee5bf3
+size 194375
diff --git a/results/train/ellipse/problem_5084.png b/results/train/ellipse/problem_5084.png
new file mode 100644
index 0000000000000000000000000000000000000000..faa95d661169c69aec6ee9f9c4b6c67cedf3e1db
--- /dev/null
+++ b/results/train/ellipse/problem_5084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bf0ded5cb46699c3e9f1893dd01e214ba8471a84abdb068bebb25a2e5862633
+size 219918
diff --git a/results/train/ellipse/problem_5090.png b/results/train/ellipse/problem_5090.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9291a68b54f58a267fd3e7abe3b7cd6a0886670
--- /dev/null
+++ b/results/train/ellipse/problem_5090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31aeee4ed181a800387afa315134d99d3367f7474359b10ca63d95a67d30d91b
+size 224783
diff --git a/results/train/ellipse/problem_5091.png b/results/train/ellipse/problem_5091.png
new file mode 100644
index 0000000000000000000000000000000000000000..b780872e2c8096d6768d4ab2e16556c05e6b8c95
--- /dev/null
+++ b/results/train/ellipse/problem_5091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40cddb01d7a43ecba007b375829a0c9fb9ac09b606c637546550560ed51ec37a
+size 225749
diff --git a/results/train/ellipse/problem_5094.png b/results/train/ellipse/problem_5094.png
new file mode 100644
index 0000000000000000000000000000000000000000..11cf531e98bfe66e3dde32931e065e4f4d4d9d4c
--- /dev/null
+++ b/results/train/ellipse/problem_5094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea850af62c15e42c5d38fe7cb147a18a9830e7de70bab3e47ea8a895090e2141
+size 232027
diff --git a/results/train/ellipse/problem_5095.png b/results/train/ellipse/problem_5095.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee6c7fcbfc65912597e2586fbe76c0769a3709e5
--- /dev/null
+++ b/results/train/ellipse/problem_5095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c06c864a6ccd8f9d552b512a04447702c4b0238a3668e2937b060ff8db17b18
+size 183290
diff --git a/results/train/ellipse/problem_5101.png b/results/train/ellipse/problem_5101.png
new file mode 100644
index 0000000000000000000000000000000000000000..b15bebaa0f46b3d1e8da72dee6fb7da9eb481702
--- /dev/null
+++ b/results/train/ellipse/problem_5101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:847c331092d8508d72ee3619810fd65f15db8a38e065c95faeb9f63eeea5b1b7
+size 235969
diff --git a/results/train/ellipse/problem_5114.png b/results/train/ellipse/problem_5114.png
new file mode 100644
index 0000000000000000000000000000000000000000..37bcd2f0dfc6e8a20991a603703532b0f47be701
--- /dev/null
+++ b/results/train/ellipse/problem_5114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d4c601f01fd51f64aecd8175ed1c2347264355a364ce25275dec839bf8d9b60
+size 220423
diff --git a/results/train/ellipse/problem_5120.png b/results/train/ellipse/problem_5120.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c40378db01fcdc6509bc26d4bd0c3603b45753a
--- /dev/null
+++ b/results/train/ellipse/problem_5120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16dc9bc9558c4ac99f4b80c581384c1533c77ca4e0f9f98e7af42d2a12fb692f
+size 241092
diff --git a/results/train/ellipse/problem_5125.png b/results/train/ellipse/problem_5125.png
new file mode 100644
index 0000000000000000000000000000000000000000..85e17808cead0aa490bb694ad9406cf723bdc7e8
--- /dev/null
+++ b/results/train/ellipse/problem_5125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:519c915689592cc93775c5a236ed4dbbcc4f9211dd4c2c7e1291334d30a64511
+size 228203
diff --git a/results/train/ellipse/problem_5130.png b/results/train/ellipse/problem_5130.png
new file mode 100644
index 0000000000000000000000000000000000000000..202ff3cae49cd234c53386a3d3885f5291ef36fd
--- /dev/null
+++ b/results/train/ellipse/problem_5130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e531d73b4f199da6f71c2a28687e97979d8c8d09943b4a83dd1d217947fde524
+size 227125
diff --git a/results/train/ellipse/problem_5141.png b/results/train/ellipse/problem_5141.png
new file mode 100644
index 0000000000000000000000000000000000000000..5293701292c1f312a6c6a229bea5c8f3cc4a8e4c
--- /dev/null
+++ b/results/train/ellipse/problem_5141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:daf46628bcb3e427ec78aa6d9f4746777d672cee3ea4c6f89f40fd4ce3aa345e
+size 200422
diff --git a/results/train/ellipse/problem_5146.png b/results/train/ellipse/problem_5146.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4341f54eb52f8eae33c0c6518a945458d0ebbfb
--- /dev/null
+++ b/results/train/ellipse/problem_5146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70fa5bbcc85a4d2661d3132c873a11e8cb23813ef98d8f22df229304560e3fca
+size 235105
diff --git a/results/train/ellipse/problem_5152.png b/results/train/ellipse/problem_5152.png
new file mode 100644
index 0000000000000000000000000000000000000000..d43c13fc9aa589983b19903d63d638032f983ee3
--- /dev/null
+++ b/results/train/ellipse/problem_5152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:570169554572eb3b71c5aa1575c0faacb2c6fb56ce52d965d0a4bd7af0c34c6d
+size 216425
diff --git a/results/train/ellipse/problem_5153.png b/results/train/ellipse/problem_5153.png
new file mode 100644
index 0000000000000000000000000000000000000000..e304e1c5fbbf22f4569190a4163b2cf2065f1823
--- /dev/null
+++ b/results/train/ellipse/problem_5153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81d36de2df684052c78a648983a7feb1df77d4e564b64d732447a2a52a8efcdb
+size 236820
diff --git a/results/train/ellipse/problem_5154.png b/results/train/ellipse/problem_5154.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfc73f387bcd31a59d0be8ce5a0e677974636745
--- /dev/null
+++ b/results/train/ellipse/problem_5154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2744d6493529ae0f9c003b777dc3bf69e825f005b781e3772ae9cb9c2cb5ef6
+size 197540
diff --git a/results/train/ellipse/problem_5158.png b/results/train/ellipse/problem_5158.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b699561c1c4c4d21344bc4b90df11c36941ac4c
--- /dev/null
+++ b/results/train/ellipse/problem_5158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:345fef2a47383f6eb32810ffb03a695afe6675001917dbf7f7175b2c44f4eb28
+size 190994
diff --git a/results/train/ellipse/problem_5177.png b/results/train/ellipse/problem_5177.png
new file mode 100644
index 0000000000000000000000000000000000000000..b93e9a35373980e9292017189bfeaef92511a9a7
--- /dev/null
+++ b/results/train/ellipse/problem_5177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8286ffff925b21172a40fa8d134be88d19cfc10a74ffdbcb17b3ccf7bd0488a5
+size 220071
diff --git a/results/train/ellipse/problem_5184.png b/results/train/ellipse/problem_5184.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fd70f34c3f866d35ad34cf93ed0019024d78814
--- /dev/null
+++ b/results/train/ellipse/problem_5184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fefc6ef595b29e0cd5510abb63ae79b0382e9b70106425b7a5fba503cace780
+size 227324
diff --git a/results/train/ellipse/problem_5193.png b/results/train/ellipse/problem_5193.png
new file mode 100644
index 0000000000000000000000000000000000000000..4dd9d6cf00b0c64e048e42f56ac9f598d58306ca
--- /dev/null
+++ b/results/train/ellipse/problem_5193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0634b9e6fd1276442a51d8b0e5359796a7ed67fdd469b3f294769850580003d7
+size 237926
diff --git a/results/train/ellipse/problem_5197.png b/results/train/ellipse/problem_5197.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf4e9118d0b321767bf0b1e39c051ab075c75d3d
--- /dev/null
+++ b/results/train/ellipse/problem_5197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c98c6f4b94bf7dcca58f9c3b43e69c48fb7772217f9877cea007576f21981ec4
+size 240046
diff --git a/results/train/ellipse/problem_5204.png b/results/train/ellipse/problem_5204.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4a1618fea4086690ae2f2904402f4e1547a504a
--- /dev/null
+++ b/results/train/ellipse/problem_5204.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8cbea38ea4023f8123c94e2e725666bf22581961dfdc90349c4740865142e005
+size 223474
diff --git a/results/train/ellipse/problem_5214.png b/results/train/ellipse/problem_5214.png
new file mode 100644
index 0000000000000000000000000000000000000000..eda97503db361c1a6b019345498067ea0c20acf3
--- /dev/null
+++ b/results/train/ellipse/problem_5214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:600d23c1e2c37457def94fd920a216d36a5cc5c10737332a42b7965894156f7e
+size 242242
diff --git a/results/train/ellipse/problem_5215.png b/results/train/ellipse/problem_5215.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bc26fe3ad17ddfb59a75a252e146d2c1caa0a65
--- /dev/null
+++ b/results/train/ellipse/problem_5215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b3273f9dc5dde38a65e55a2e10d89b6a969540eae76fe80eb57e78583ed0e11
+size 222376
diff --git a/results/train/ellipse/problem_5219.png b/results/train/ellipse/problem_5219.png
new file mode 100644
index 0000000000000000000000000000000000000000..3745dc93f5d89b9b381586e3ca49679bd7c68fb7
--- /dev/null
+++ b/results/train/ellipse/problem_5219.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e26ef27bf3312e416e0cc13dcb51985b7f9b080b7debf2eb42eca3556d379f4
+size 218038
diff --git a/results/train/ellipse/problem_5220.png b/results/train/ellipse/problem_5220.png
new file mode 100644
index 0000000000000000000000000000000000000000..406cb7d3edf7e6d8912e15a972b4b01ad06cb641
--- /dev/null
+++ b/results/train/ellipse/problem_5220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1357c7a4ab1ffcb8fe6534f234a5829daa6d14ca56858879335ae40815925cd0
+size 186565
diff --git a/results/train/ellipse/problem_5222.png b/results/train/ellipse/problem_5222.png
new file mode 100644
index 0000000000000000000000000000000000000000..302d3e931105e54279ddcd9574e53bd443f02b10
--- /dev/null
+++ b/results/train/ellipse/problem_5222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:497347fbf56aa238efd02af9c7cc972cf9e005a3540be0a1c88f6a6602f9113d
+size 215330
diff --git a/results/train/ellipse/problem_5228.png b/results/train/ellipse/problem_5228.png
new file mode 100644
index 0000000000000000000000000000000000000000..3719f24bd8f88f42cb65006f5792095a2be440cc
--- /dev/null
+++ b/results/train/ellipse/problem_5228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43772ec7d90abb315438ec9b30d010a9585d855f06bc3c752ce7ada161b49c9c
+size 224123
diff --git a/results/train/ellipse/problem_5236.png b/results/train/ellipse/problem_5236.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d570a1e2f2991ec574591b8d8eaccc5158a65e9
--- /dev/null
+++ b/results/train/ellipse/problem_5236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42434024b662ef7557df95b31114a8670aef300490ecac9dcb9f5dbde5a92edc
+size 193781
diff --git a/results/train/ellipse/problem_5237.png b/results/train/ellipse/problem_5237.png
new file mode 100644
index 0000000000000000000000000000000000000000..39b0f618764e6f37e7832e8682d28882e1670c12
--- /dev/null
+++ b/results/train/ellipse/problem_5237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc101fa9e6a8f781d50cbf88c1851d75e99b350d0fa1c962bee88c655d84fcc9
+size 194085
diff --git a/results/train/ellipse/problem_5240.png b/results/train/ellipse/problem_5240.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b48c420b142fcf86a5b23d5fa621cc65f2a231f
--- /dev/null
+++ b/results/train/ellipse/problem_5240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1038472fb56b3b79927e78bc5e1cf5d74138c2ef85bf4c8fa5b4bc0dc09a921
+size 219777
diff --git a/results/train/ellipse/problem_5248.png b/results/train/ellipse/problem_5248.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a4cd79b6861b53c006fdab74a854b588c038dd3
--- /dev/null
+++ b/results/train/ellipse/problem_5248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c57082ec03879dcc9421efd13de4a1219a5fb8be86361825dc159a7eaec8bbcf
+size 220141
diff --git a/results/train/ellipse/problem_5250.png b/results/train/ellipse/problem_5250.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4dc85f772b4d9d839181ac9ecbe8573b4dce13c
--- /dev/null
+++ b/results/train/ellipse/problem_5250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9f02f275b21736f4be350ba8e6b229511fb4ea35f7dc222b1e8a0bac437bee7
+size 235987
diff --git a/results/train/ellipse/problem_5251.png b/results/train/ellipse/problem_5251.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e9435e65f1dc54e97f1a1d3f66e125eb69b072c
--- /dev/null
+++ b/results/train/ellipse/problem_5251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d3b35a4fbd85289ce75c66e43f6ee6e6b71d5c78e5fad9766a01279e048ecc8
+size 211232
diff --git a/results/train/ellipse/problem_5252.png b/results/train/ellipse/problem_5252.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c0f7342cf9e51db080330648b828b62c8a93328
--- /dev/null
+++ b/results/train/ellipse/problem_5252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f506da6dfa5a73db1985632df0c2705be428dc3331357ac8c6e6d6eec4dd8538
+size 186502
diff --git a/results/train/ellipse/problem_5258.png b/results/train/ellipse/problem_5258.png
new file mode 100644
index 0000000000000000000000000000000000000000..7329f6aa4ce59c4cadd146ce542c22ba274940e0
--- /dev/null
+++ b/results/train/ellipse/problem_5258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36e35aa1e8753f9bd000c899e4c0f72f89cda076c4bc1d4f18b48c7303194a4e
+size 203405
diff --git a/results/train/ellipse/problem_5262.png b/results/train/ellipse/problem_5262.png
new file mode 100644
index 0000000000000000000000000000000000000000..d66846661346b8596ec16dc6937a25b3b5298b3c
--- /dev/null
+++ b/results/train/ellipse/problem_5262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f7b0b68a3a2a1eea6128e2ac5b0c6e2af6f36559e9be6f5cb9abaf84717f4dd
+size 219193
diff --git a/results/train/ellipse/problem_5263.png b/results/train/ellipse/problem_5263.png
new file mode 100644
index 0000000000000000000000000000000000000000..57c455221e8d1e7ac3e94b0af7a7af2b87a25f1e
--- /dev/null
+++ b/results/train/ellipse/problem_5263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e559a6d0065cbdb075231ff39f39505e18408c090d29a0a348fcaca136125e43
+size 216733
diff --git a/results/train/ellipse/problem_5268.png b/results/train/ellipse/problem_5268.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b790b7928937f11a7bfc08afeab2a1aa1ffe394
--- /dev/null
+++ b/results/train/ellipse/problem_5268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d36e941a43d15e871d0c55b5a7b253c264066709b367229f1c75cb62baa55bfb
+size 195654
diff --git a/results/train/ellipse/problem_5276.png b/results/train/ellipse/problem_5276.png
new file mode 100644
index 0000000000000000000000000000000000000000..396038ca2cd9c509f22f5d25b8236ecea280bdaf
--- /dev/null
+++ b/results/train/ellipse/problem_5276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fd1ac498d3d086da15e6d92ec02ae0b6b616574e935fe233727c7584a038f7e
+size 222028
diff --git a/results/train/ellipse/problem_5285.png b/results/train/ellipse/problem_5285.png
new file mode 100644
index 0000000000000000000000000000000000000000..b35e121d6a7772ad4d4e0d1409d55714178327f2
--- /dev/null
+++ b/results/train/ellipse/problem_5285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afe4f3e72b7d9aa7247fd14054fd8a82eecebbc43b4a0025704d01a1c8bd0819
+size 216576
diff --git a/results/train/ellipse/problem_5286.png b/results/train/ellipse/problem_5286.png
new file mode 100644
index 0000000000000000000000000000000000000000..43b1cf6ac92be5bd2be0c014f5cdcb5d2c48733c
--- /dev/null
+++ b/results/train/ellipse/problem_5286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4deff616c65fa0e2120cacc752cf0f84ba4cffd69afef89beb92ad47cc50285
+size 182645
diff --git a/results/train/ellipse/problem_5287.png b/results/train/ellipse/problem_5287.png
new file mode 100644
index 0000000000000000000000000000000000000000..8df2d388b72b3666ff2965aa455b12e7862a8079
--- /dev/null
+++ b/results/train/ellipse/problem_5287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7345a4eca21c169cb8f69a2e4a6bb0e241bd208d780899838c5445042096024
+size 216576
diff --git a/results/train/ellipse/problem_5289.png b/results/train/ellipse/problem_5289.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8f451692579d4bbbbba857ed0eaec341fab25f2
--- /dev/null
+++ b/results/train/ellipse/problem_5289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c319ee33e7795172080010548d4691e75f6ff67917878cc0cad112f917555f04
+size 191158
diff --git a/results/train/ellipse/problem_5294.png b/results/train/ellipse/problem_5294.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9b4138552e87274707ad474b8d5eb260a05a48e
--- /dev/null
+++ b/results/train/ellipse/problem_5294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4507600f2098f394511b660ab377e940db82e680975c737da1895f337136b4a8
+size 217640
diff --git a/results/train/ellipse/problem_5295.png b/results/train/ellipse/problem_5295.png
new file mode 100644
index 0000000000000000000000000000000000000000..9af5d9f181db465d067a2bc3998e6b3355bb0f57
--- /dev/null
+++ b/results/train/ellipse/problem_5295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d21bb1842082f7d198edcd195d74d30a65959aecf397a17f1a57130c1e0ec1
+size 225816
diff --git a/results/train/ellipse/problem_5303.png b/results/train/ellipse/problem_5303.png
new file mode 100644
index 0000000000000000000000000000000000000000..d830cb7deb4e222445b2f6ebb6a805b853107891
--- /dev/null
+++ b/results/train/ellipse/problem_5303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d05c055a04c0942705cb083927ade0d43bfa7c73b7acf593af8c85053deea161
+size 228753
diff --git a/results/train/ellipse/problem_5307.png b/results/train/ellipse/problem_5307.png
new file mode 100644
index 0000000000000000000000000000000000000000..20c742b7a60672027462c0540c31631762da7d85
--- /dev/null
+++ b/results/train/ellipse/problem_5307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0e60a48b0a49f3ec247056b35f587391df489cbae1307e7e1389fa77c3f39d0
+size 196188
diff --git a/results/train/ellipse/problem_5309.png b/results/train/ellipse/problem_5309.png
new file mode 100644
index 0000000000000000000000000000000000000000..7188f8a88da8520e57535a2062d22088dbf6b7bd
--- /dev/null
+++ b/results/train/ellipse/problem_5309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fee36264fb5bbfe2aafdb4c7ad7b5fb9763e9d5167f8b8d8f5a4630ec73ed1a
+size 225617
diff --git a/results/train/ellipse/problem_5314.png b/results/train/ellipse/problem_5314.png
new file mode 100644
index 0000000000000000000000000000000000000000..629e65b9e65c1633ed2ebb6a09cf34ac8c9c3861
--- /dev/null
+++ b/results/train/ellipse/problem_5314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59ce8f1d90617b962d4936430539a205d0f3643a5bc8d8c47a1ea48c1b324ffc
+size 192293
diff --git a/results/train/ellipse/problem_5320.png b/results/train/ellipse/problem_5320.png
new file mode 100644
index 0000000000000000000000000000000000000000..71fdf2682c608fe11334ea44adf94a51c46b8eb6
--- /dev/null
+++ b/results/train/ellipse/problem_5320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8648c5d5cf74c224af54c27b17237b995f9b0baeb867b7dae11bce27f6cdbad
+size 195367
diff --git a/results/train/ellipse/problem_5323.png b/results/train/ellipse/problem_5323.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb0cfce5ec2632c47bdc2c6a83e2292d48a862da
--- /dev/null
+++ b/results/train/ellipse/problem_5323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4106c5007bfd4b32458416dbfb49bfc17fbcbf93a301274af31ec66825e48cf0
+size 216563
diff --git a/results/train/ellipse/problem_5325.png b/results/train/ellipse/problem_5325.png
new file mode 100644
index 0000000000000000000000000000000000000000..31377db2e6d4b413d9bbc5600268a28a2702a798
--- /dev/null
+++ b/results/train/ellipse/problem_5325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e49dcf8c78effdc1606c68b668345d2b0a5b5755ab3d0930ea55cf14dc4a1e5f
+size 224726
diff --git a/results/train/ellipse/problem_5329.png b/results/train/ellipse/problem_5329.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5dfab5cddde3c9f7a6f8d0d66baf187fa144861
--- /dev/null
+++ b/results/train/ellipse/problem_5329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f646719f0b0fed9ae97c5f822b6aa3bd38c37dee22b07210aaa52d77598c68a
+size 221060
diff --git a/results/train/ellipse/problem_5341.png b/results/train/ellipse/problem_5341.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c2bff7577e6a2e92505715bc572ec0f26586d7a
--- /dev/null
+++ b/results/train/ellipse/problem_5341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2328802ca5876523d73f23e452d20f46cdda6322145916542bc189f97e7857f4
+size 240930
diff --git a/results/train/ellipse/problem_5347.png b/results/train/ellipse/problem_5347.png
new file mode 100644
index 0000000000000000000000000000000000000000..102f6c8b23f9d37f09d0cc14a79e174b3a7c2fef
--- /dev/null
+++ b/results/train/ellipse/problem_5347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a7d588cc6cf90a2e8615e9edef411636cabfb7ed0ba948b8366648c0742850a
+size 241058
diff --git a/results/train/ellipse/problem_5350.png b/results/train/ellipse/problem_5350.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9f7b23f2c0702a4578ec0bdf04baa80ce4159be
--- /dev/null
+++ b/results/train/ellipse/problem_5350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0dcb8b6340ce49d2d9f7ab4319b60097210be9fc6deb1dc6de4914f7ce6ec5c
+size 225711
diff --git a/results/train/ellipse/problem_5352.png b/results/train/ellipse/problem_5352.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7898998502e1a6d6f46e11365bf89a4347bb09f
--- /dev/null
+++ b/results/train/ellipse/problem_5352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a410d1287192b4720ec30376e4215d7d5ff410cd27d27a770e7661f8811985ff
+size 233126
diff --git a/results/train/ellipse/problem_5356.png b/results/train/ellipse/problem_5356.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a20a8b15f83202c809a900362d7f6cc841a2ab9
--- /dev/null
+++ b/results/train/ellipse/problem_5356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2c68225f7d074d3151cc85291054305362c9dbfa80b8ba680168a58a06578c8
+size 192750
diff --git a/results/train/ellipse/problem_5357.png b/results/train/ellipse/problem_5357.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c46abadb5703b683bb0d24db156cae586e3a2ab
--- /dev/null
+++ b/results/train/ellipse/problem_5357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19984fb7a149571b8312e91681ad79fb1a29ddd00cc0040aa3edc9857d60e204
+size 238405
diff --git a/results/train/ellipse/problem_5358.png b/results/train/ellipse/problem_5358.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dafff414bf42cf258fb0bf2fdd896dc819fa430
--- /dev/null
+++ b/results/train/ellipse/problem_5358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69dd11811945e4115b69d2a4d211e3d10e3deea07c71a1a7e7da96c6de00389a
+size 227133
diff --git a/results/train/ellipse/problem_5368.png b/results/train/ellipse/problem_5368.png
new file mode 100644
index 0000000000000000000000000000000000000000..25953cfb01b48adf812499da1d8821500cad1e69
--- /dev/null
+++ b/results/train/ellipse/problem_5368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46aa77629c66b2c540131a7bc33d78da4e390d9b3c31e50c50f8db289a73742f
+size 228900
diff --git a/results/train/ellipse/problem_5370.png b/results/train/ellipse/problem_5370.png
new file mode 100644
index 0000000000000000000000000000000000000000..111136ea73400d1e77e0841552269e514be53a20
--- /dev/null
+++ b/results/train/ellipse/problem_5370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:456fc1a9ba09b4763df2dbcc264082678790ee411fa206db5f16819c5fd39ffa
+size 221096
diff --git a/results/train/ellipse/problem_5374.png b/results/train/ellipse/problem_5374.png
new file mode 100644
index 0000000000000000000000000000000000000000..39d1848a2b3ad593cc2e43eb179ca4068934dbd7
--- /dev/null
+++ b/results/train/ellipse/problem_5374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:058e00a824b13dcea83eaa0d2ba72570716803601540f644b94b3306b6221bd4
+size 223391
diff --git a/results/train/ellipse/problem_5375.png b/results/train/ellipse/problem_5375.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9413732ad1ebe22af65dc111cbb7ce5950d370d
--- /dev/null
+++ b/results/train/ellipse/problem_5375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d11d97901bd155619ca15a7c3a2e014542f2d763597d2591591c2c317b7a32d5
+size 217242
diff --git a/results/train/ellipse/problem_5386.png b/results/train/ellipse/problem_5386.png
new file mode 100644
index 0000000000000000000000000000000000000000..3dadd603d09551401b6ae8db9ecdef5e50056f77
--- /dev/null
+++ b/results/train/ellipse/problem_5386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd533a8c21e08c935aa884622bcb1411bda6cb2661e4f266e10e0dc33fbfb1a5
+size 221541
diff --git a/results/train/ellipse/problem_5387.png b/results/train/ellipse/problem_5387.png
new file mode 100644
index 0000000000000000000000000000000000000000..19bb71282589ca171168f65dca74a900362dacbd
--- /dev/null
+++ b/results/train/ellipse/problem_5387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29a45c50c0d6d7e5fe0758d45d6f71f1fff94ddca4bfb531b6323685b149001b
+size 232760
diff --git a/results/train/ellipse/problem_5389.png b/results/train/ellipse/problem_5389.png
new file mode 100644
index 0000000000000000000000000000000000000000..f985ee6414746eb606150748e4b85dc350e7a7ab
--- /dev/null
+++ b/results/train/ellipse/problem_5389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48cd21285f2ac2ba8658287e642cbe56291cf23dc0b8de81539431cf64316eab
+size 223794
diff --git a/results/train/ellipse/problem_5392.png b/results/train/ellipse/problem_5392.png
new file mode 100644
index 0000000000000000000000000000000000000000..153a9e48e084074fe14f2a29313ed0c38e77117a
--- /dev/null
+++ b/results/train/ellipse/problem_5392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:222d7bcf9760d4a3aeae089f8b49be333af06daa247aff6b8fba6653439835ab
+size 226436
diff --git a/results/train/ellipse/problem_5393.png b/results/train/ellipse/problem_5393.png
new file mode 100644
index 0000000000000000000000000000000000000000..749f467c37aec2478fb6b771f98d9c5eba3bb5b5
--- /dev/null
+++ b/results/train/ellipse/problem_5393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:548176874bd008963e43b6ef05b583f043bff6b10fa696607331dc42a63dbb3f
+size 260145
diff --git a/results/train/ellipse/problem_5394.png b/results/train/ellipse/problem_5394.png
new file mode 100644
index 0000000000000000000000000000000000000000..67f92b3821068bf8a6b43b890e16c27f0cd12829
--- /dev/null
+++ b/results/train/ellipse/problem_5394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:327d050d933e8963b195c079cdaef11ccf533b4744621c47fe797822fda71a53
+size 223879
diff --git a/results/train/ellipse/problem_5397.png b/results/train/ellipse/problem_5397.png
new file mode 100644
index 0000000000000000000000000000000000000000..722042c4ac1ea453546a249baa30ed7e0055cd61
--- /dev/null
+++ b/results/train/ellipse/problem_5397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62b5ea98da4e41b996b3f32a2815b1a8c96fe191d59cdf82e06edf8c832b64a6
+size 219454
diff --git a/results/train/ellipse/problem_5399.png b/results/train/ellipse/problem_5399.png
new file mode 100644
index 0000000000000000000000000000000000000000..abd8c40cced2d26f70de76702763974645dbfc3c
--- /dev/null
+++ b/results/train/ellipse/problem_5399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef01d3a2b8aabeacf47ebdd0703570f080dd610c0cb42b327b206ad20a8e6f96
+size 214187
diff --git a/results/train/ellipse/problem_5400.png b/results/train/ellipse/problem_5400.png
new file mode 100644
index 0000000000000000000000000000000000000000..6af19153c17f45d14953a1f1f07edd581eb9fe42
--- /dev/null
+++ b/results/train/ellipse/problem_5400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4709427ef3a1ec1ede3fa766639b3a34b48e48215fb071e50764f93e8ccb0ed9
+size 213440
diff --git a/results/train/ellipse/problem_5406.png b/results/train/ellipse/problem_5406.png
new file mode 100644
index 0000000000000000000000000000000000000000..eda39e84b086d9fe98a45461ba7e4531831fd4cf
--- /dev/null
+++ b/results/train/ellipse/problem_5406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e312dfe37b78b3c5caeb70b4b0beda87715b3f46e8504bd1671503a9a18a7d54
+size 215876
diff --git a/results/train/ellipse/problem_5407.png b/results/train/ellipse/problem_5407.png
new file mode 100644
index 0000000000000000000000000000000000000000..8110b9d9f0cb524c57b28a8c95c494f4bbbe56ff
--- /dev/null
+++ b/results/train/ellipse/problem_5407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b572ba7823de070684a42d61cb9e1fca9ccf02bba5127242d8e4499d15372f5
+size 232227
diff --git a/results/train/ellipse/problem_5411.png b/results/train/ellipse/problem_5411.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e6f223f7ed50a7aca5cb61f21aae45f56336835
--- /dev/null
+++ b/results/train/ellipse/problem_5411.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b92204824f1565f1b8ff63c297aa561132036c693dae068f3ab0fd97d54f817
+size 224200
diff --git a/results/train/ellipse/problem_5412.png b/results/train/ellipse/problem_5412.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f216f4b152ea6f8aa759f0d7c0b9dd7f764451c
--- /dev/null
+++ b/results/train/ellipse/problem_5412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31926b9ee56f97ad4d5b9c0ae2f7993c822c673fbe3c788030f7b06251048d5e
+size 224937
diff --git a/results/train/ellipse/problem_5415.png b/results/train/ellipse/problem_5415.png
new file mode 100644
index 0000000000000000000000000000000000000000..682749195508412b0606a6fe8a43a7c4bd134f64
--- /dev/null
+++ b/results/train/ellipse/problem_5415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cef3a2f5e28a307279b46b4985a9a82266e9e31019073fe093059229d50fc781
+size 210509
diff --git a/results/train/ellipse/problem_5420.png b/results/train/ellipse/problem_5420.png
new file mode 100644
index 0000000000000000000000000000000000000000..51a9b6d17ccd9e87b813d1f54d337d6fbac55d07
--- /dev/null
+++ b/results/train/ellipse/problem_5420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2df38165fd7f5ddfec89845591dcc173cbd07d85a6a2d5c5584b6a4bc768505
+size 221559
diff --git a/results/train/ellipse/problem_5430.png b/results/train/ellipse/problem_5430.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2492e9fea67cdeead62eb9e17b54bcd71e20c64
--- /dev/null
+++ b/results/train/ellipse/problem_5430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b9de61913bec2393de0bdc05916a1b057781d9d591272ddb004b6b014242a2c
+size 234513
diff --git a/results/train/ellipse/problem_5431.png b/results/train/ellipse/problem_5431.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec03f8f4bf64fed0cfcd986190ea6ed6a75c05ef
--- /dev/null
+++ b/results/train/ellipse/problem_5431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63e148dd0dabcc15af91be5d4f0b9efb292a0070961ed75029924b11c9e37c0a
+size 194224
diff --git a/results/train/ellipse/problem_5437.png b/results/train/ellipse/problem_5437.png
new file mode 100644
index 0000000000000000000000000000000000000000..4062d51e29f3745b062e260516eaf85d7840b8d3
--- /dev/null
+++ b/results/train/ellipse/problem_5437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96269e0013faf007adef5e820f3a063b428087fc420356f4518dd0a052ea932b
+size 225082
diff --git a/results/train/ellipse/problem_5439.png b/results/train/ellipse/problem_5439.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b684fbb40dfe8f86c63c53048de298646be1d76
--- /dev/null
+++ b/results/train/ellipse/problem_5439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81f23068d4a915dda8a8ce9a030a5abd074d82f5463467c7afbaa0d01b60a76e
+size 217179
diff --git a/results/train/ellipse/problem_5443.png b/results/train/ellipse/problem_5443.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fd08080f9ba5d260e604159784f813f0b2017f0
--- /dev/null
+++ b/results/train/ellipse/problem_5443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3259258b4cbb452da4ff4118b68f8e712f674abf5609a1b8d4de59367934a4d3
+size 192353
diff --git a/results/train/ellipse/problem_5451.png b/results/train/ellipse/problem_5451.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6a2d5453c48d55124b72058f0c90f72faffc239
--- /dev/null
+++ b/results/train/ellipse/problem_5451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4389e08624bbb0f07f27f1020fb948a9d80e2dc6d1915996104d2ffd3b48e78e
+size 207270
diff --git a/results/train/ellipse/problem_5452.png b/results/train/ellipse/problem_5452.png
new file mode 100644
index 0000000000000000000000000000000000000000..10e81c8e1952eccb61ac52bedb2be64204e11e7a
--- /dev/null
+++ b/results/train/ellipse/problem_5452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:040d271b3217cf4fe66c604214f52e5699da2776083d80a090ce3cae5d50e47a
+size 230160
diff --git a/results/train/ellipse/problem_5454.png b/results/train/ellipse/problem_5454.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e6f24bf6423cfc3c1e02f1ea63dfd5f04f6537f
--- /dev/null
+++ b/results/train/ellipse/problem_5454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57e220de313cc4746816b67d133fa8938b5291cbbfcc052034e0a33b0a9775e6
+size 219582
diff --git a/results/train/ellipse/problem_5461.png b/results/train/ellipse/problem_5461.png
new file mode 100644
index 0000000000000000000000000000000000000000..bcaf763f088fbc9fff71a0dfb7d5d504bb8a2563
--- /dev/null
+++ b/results/train/ellipse/problem_5461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4159b111af2f556831b8a4ef2362830a9f44adfb35d3f291e44815f28a38d936
+size 215551
diff --git a/results/train/ellipse/problem_5466.png b/results/train/ellipse/problem_5466.png
new file mode 100644
index 0000000000000000000000000000000000000000..29570e97026fb9074aeb9ee4b7f631a8e5403705
--- /dev/null
+++ b/results/train/ellipse/problem_5466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:855c3e225b6143c23f5e2779dbd36390a236e0d2f64fd6355b3e898ae8ed5f46
+size 218125
diff --git a/results/train/ellipse/problem_5476.png b/results/train/ellipse/problem_5476.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f736bee94a825e8943cbfaf058c6abc397c9564
--- /dev/null
+++ b/results/train/ellipse/problem_5476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce07270dc1855ba6795e655b9e908ae24e0bdbf7c00fd47aa203e6d65c918608
+size 232196
diff --git a/results/train/ellipse/problem_5484.png b/results/train/ellipse/problem_5484.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b0bc9e6485b8d7ab6248d344869d68a759e3a5a
--- /dev/null
+++ b/results/train/ellipse/problem_5484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54d3c72d4e25cd10ea0a05a3b3eda90a34777fb61bdf6bf2dd8278f016e55ddb
+size 216301
diff --git a/results/train/ellipse/problem_5486.png b/results/train/ellipse/problem_5486.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ee6f6d5e44df8c961ecc3d0ba0083590df8d827
--- /dev/null
+++ b/results/train/ellipse/problem_5486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19a47a2776d4188ab638afd4e98ab47ca3dbb725db4d726f3a747edb5538e547
+size 191329
diff --git a/results/train/ellipse/problem_5489.png b/results/train/ellipse/problem_5489.png
new file mode 100644
index 0000000000000000000000000000000000000000..500bf1ffea3d5275d6b886dbb8b9e2b47a6b9f1f
--- /dev/null
+++ b/results/train/ellipse/problem_5489.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b1b0613cf83f0790f4af8bbc77e1f51e692abcd884bcb52747ecdf80cd0267f
+size 227762
diff --git a/results/train/ellipse/problem_5490.png b/results/train/ellipse/problem_5490.png
new file mode 100644
index 0000000000000000000000000000000000000000..f409d54a382bfd1c1730cf1eb65b03e8c3a246ea
--- /dev/null
+++ b/results/train/ellipse/problem_5490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f32e2c4600d3e1fd46bd48b643ed1a52adcf59857ad32ccddbbdf9dad77ff00c
+size 213483
diff --git a/results/train/ellipse/problem_5491.png b/results/train/ellipse/problem_5491.png
new file mode 100644
index 0000000000000000000000000000000000000000..d74ba558644fb9f9b2d31db6d6947908b62ff65f
--- /dev/null
+++ b/results/train/ellipse/problem_5491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fbfcd93878d96624b68d6408978f484446fbf1b8eaa30377bdaa144c39278fb
+size 226183
diff --git a/results/train/ellipse/problem_5493.png b/results/train/ellipse/problem_5493.png
new file mode 100644
index 0000000000000000000000000000000000000000..eada201d936f0d57ceba650858c82628a58f8966
--- /dev/null
+++ b/results/train/ellipse/problem_5493.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a7a3393d9dad1c99374fc35766da3bbd343d9e326c414440016b160b3be49d1
+size 233625
diff --git a/results/train/ellipse/problem_5500.png b/results/train/ellipse/problem_5500.png
new file mode 100644
index 0000000000000000000000000000000000000000..7770ae5860c9f486a7274762504528cb5981b654
--- /dev/null
+++ b/results/train/ellipse/problem_5500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2cdcb0496f1a0cf9c9cdc6d447bcc04723e39142ffefb6a28622a61c4f2ba77
+size 226041
diff --git a/results/train/ellipse/problem_5504.png b/results/train/ellipse/problem_5504.png
new file mode 100644
index 0000000000000000000000000000000000000000..bec5abd21195c0b8f2c1f0d5841a1f7dd794a043
--- /dev/null
+++ b/results/train/ellipse/problem_5504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:879b0e0f031f4097d66db07a7e3e1bcc44fdec4abaa6cfa6f281b3fc6a937b37
+size 226131
diff --git a/results/train/ellipse/problem_5507.png b/results/train/ellipse/problem_5507.png
new file mode 100644
index 0000000000000000000000000000000000000000..af175500dd01fc5682af582610d83b511a538877
--- /dev/null
+++ b/results/train/ellipse/problem_5507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e4b69e8ebe7a9edeb2dec60b94e873184f72ed28ec7cdbba6f25cb6457573a1
+size 225279
diff --git a/results/train/ellipse/problem_5509.png b/results/train/ellipse/problem_5509.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cfb728ce74db712897744fe096a721024e78a0c
--- /dev/null
+++ b/results/train/ellipse/problem_5509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6967a63c82defbee0b7f1bbb494e47ff99efe696ee5baca2bef8beb3d00931c1
+size 220157
diff --git a/results/train/ellipse/problem_5512.png b/results/train/ellipse/problem_5512.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc272ae76cc0216e4e29cb6110899347d4179b02
--- /dev/null
+++ b/results/train/ellipse/problem_5512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:802884fee86f96274e16cb8e50eaf1d22ce2b51a7c613c022e2fab1679b19303
+size 210383
diff --git a/results/train/ellipse/problem_5513.png b/results/train/ellipse/problem_5513.png
new file mode 100644
index 0000000000000000000000000000000000000000..bcf6a1df52f273dd73a4df1e4442a5297b2c01a5
--- /dev/null
+++ b/results/train/ellipse/problem_5513.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a7b420d986fd66a1a7e2fca30e07a9efdae5b845f6e5e6bd3b9e038c74b0732
+size 226912
diff --git a/results/train/ellipse/problem_5516.png b/results/train/ellipse/problem_5516.png
new file mode 100644
index 0000000000000000000000000000000000000000..048a27f6f27142be018b97002b51b0b51997a054
--- /dev/null
+++ b/results/train/ellipse/problem_5516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:528bd6fcf9aba824468c8438cd7b5b0e9b1b48562495c17c5ad7b94f1f94ddc6
+size 229140
diff --git a/results/train/ellipse/problem_5519.png b/results/train/ellipse/problem_5519.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc67d440b5efcc9bd09e81c5c0adfedf8c6fa9a5
--- /dev/null
+++ b/results/train/ellipse/problem_5519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:280bb3f7c4e544acfd14399f17ea76d58a4acb30cbf92cd1db8310ae30a93ea9
+size 209756
diff --git a/results/train/ellipse/problem_5520.png b/results/train/ellipse/problem_5520.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b523be0003ae9dc48c0641a4fb5f3d15464256f
--- /dev/null
+++ b/results/train/ellipse/problem_5520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b24faa67ddbb8fce0c856ef4bc0cdfbc8001bb50f5b9815bb73c54e62934221
+size 233559
diff --git a/results/train/ellipse/problem_5521.png b/results/train/ellipse/problem_5521.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8e3756e0e0fc2cb7c85cd10df81bc027b0b8d1e
--- /dev/null
+++ b/results/train/ellipse/problem_5521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bde8feb8a8ab53042648c594e635311efe914e5f01f017485b9e5b6aa83eeee7
+size 225487
diff --git a/results/train/ellipse/problem_5523.png b/results/train/ellipse/problem_5523.png
new file mode 100644
index 0000000000000000000000000000000000000000..07d1af7355dffbb8e8cca2089517375b1dbc71ff
--- /dev/null
+++ b/results/train/ellipse/problem_5523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5985a967892dfc170d469db2a734aa94497d2d56ad8959d3df921d8a6dd2e86
+size 241942
diff --git a/results/train/ellipse/problem_5527.png b/results/train/ellipse/problem_5527.png
new file mode 100644
index 0000000000000000000000000000000000000000..82104e68b09a8d2788788092ce986feb8d5d1569
--- /dev/null
+++ b/results/train/ellipse/problem_5527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ecbda70349a3d76234810c226654063688c2ede469bc71b0b16c23935b0648d
+size 228337
diff --git a/results/train/ellipse/problem_5530.png b/results/train/ellipse/problem_5530.png
new file mode 100644
index 0000000000000000000000000000000000000000..7024b3a937d96bf29712748cddc1b1327b3cf3d7
--- /dev/null
+++ b/results/train/ellipse/problem_5530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba600648f33243c0ccc1fd6c09330004ff352c5b9a6169bb0dcb0cecebcfaa21
+size 222765
diff --git a/results/train/ellipse/problem_5540.png b/results/train/ellipse/problem_5540.png
new file mode 100644
index 0000000000000000000000000000000000000000..b79eecc8346336d8ede358a042a8e6053f196fc4
--- /dev/null
+++ b/results/train/ellipse/problem_5540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffae638c53fe9e5a38ed8eecb35b4525fb84f8a9e4d142837e719fe4c237b440
+size 193570
diff --git a/results/train/ellipse/problem_5545.png b/results/train/ellipse/problem_5545.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b93ca6f6de05520599b459d0b2af7586549ee5e
--- /dev/null
+++ b/results/train/ellipse/problem_5545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92c8b9e0e8dd8698a1e23836d43c9d4acaf3b6e245b8f3f74eea3ee47c569626
+size 228917
diff --git a/results/train/ellipse/problem_5547.png b/results/train/ellipse/problem_5547.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ae94890756d658b70b24884aea5a2faf291edad
--- /dev/null
+++ b/results/train/ellipse/problem_5547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2624cf46baa32f9744e4b83efa1c463733731d887dfc1c6477801403a0f7a2e4
+size 221812
diff --git a/results/train/ellipse/problem_5550.png b/results/train/ellipse/problem_5550.png
new file mode 100644
index 0000000000000000000000000000000000000000..b379bd33e57d075f011c5e02024a95969a41f129
--- /dev/null
+++ b/results/train/ellipse/problem_5550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf6f73d78b0f3d05a965cec636dfb9fb2930e73eb929628be1710670af812c0d
+size 239786
diff --git a/results/train/ellipse/problem_5561.png b/results/train/ellipse/problem_5561.png
new file mode 100644
index 0000000000000000000000000000000000000000..c77614f57c1b7d4595e8f6925176560b2567a25a
--- /dev/null
+++ b/results/train/ellipse/problem_5561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4aa9f3a9dc3a1b07890dbc7d817ed7037f7d9750de3ae668b85719215fdd58a3
+size 217495
diff --git a/results/train/ellipse/problem_5564.png b/results/train/ellipse/problem_5564.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c6a669e14e34e81f3c1dbc240469deed4bd076e
--- /dev/null
+++ b/results/train/ellipse/problem_5564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3e62e6821932a0ec0e3efb94f29eb30eba35cb2a88ca064a3cb17249c876d5b
+size 228838
diff --git a/results/train/ellipse/problem_5568.png b/results/train/ellipse/problem_5568.png
new file mode 100644
index 0000000000000000000000000000000000000000..9005b7aabe72e81c9718587052448d99aaa0b7c2
--- /dev/null
+++ b/results/train/ellipse/problem_5568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45097573cd670bac6c7f906eac881c1e6d30d21196cbb6070e1da60c4811c35d
+size 196944
diff --git a/results/train/ellipse/problem_5572.png b/results/train/ellipse/problem_5572.png
new file mode 100644
index 0000000000000000000000000000000000000000..a95c0cfa59f391afeead6a479b2eb0b769eb4fe8
--- /dev/null
+++ b/results/train/ellipse/problem_5572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03f3202aa1666abd70e28f58cffabeab11fcaf9ce279caf38b25eae06b603ae6
+size 192394
diff --git a/results/train/ellipse/problem_5579.png b/results/train/ellipse/problem_5579.png
new file mode 100644
index 0000000000000000000000000000000000000000..57200f96b0f64be0363140f45552140dd0cc09ab
--- /dev/null
+++ b/results/train/ellipse/problem_5579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8442ff6a3f9ba9fed4ff4fee372402845a6472b9426298939e6e8d761886fb9b
+size 196010
diff --git a/results/train/ellipse/problem_5585.png b/results/train/ellipse/problem_5585.png
new file mode 100644
index 0000000000000000000000000000000000000000..41aa3c6c01d48f50155f53b77bf40921fb28e2d7
--- /dev/null
+++ b/results/train/ellipse/problem_5585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:643db20e2dc24b8d0855bc0dcb7d87511524fa19a6b6b69bab5575941a8af420
+size 225280
diff --git a/results/train/ellipse/problem_5586.png b/results/train/ellipse/problem_5586.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac4f00c3374e05a301662d1d67a120f3d8233277
--- /dev/null
+++ b/results/train/ellipse/problem_5586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffe97dfeabc0a3ee93641768b9bf1ae4390eb9f2d45ada7af72c471bf7093634
+size 222261
diff --git a/results/train/ellipse/problem_5613.png b/results/train/ellipse/problem_5613.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f2329090761aac8c785c779566300491ecf163f
--- /dev/null
+++ b/results/train/ellipse/problem_5613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:048cc199d43dc5b18b92ab2d1597760a34d5d0ec1555aa438b9759dd706526cb
+size 222204
diff --git a/results/train/ellipse/problem_5614.png b/results/train/ellipse/problem_5614.png
new file mode 100644
index 0000000000000000000000000000000000000000..e895f490f45336371c54e00f187a98d437d0d2e6
--- /dev/null
+++ b/results/train/ellipse/problem_5614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f856fcaf4d0f78e731208df6077cdc0d20931a7e0ed1fcb8aa31ce226b8f8f33
+size 189827
diff --git a/results/train/ellipse/problem_5617.png b/results/train/ellipse/problem_5617.png
new file mode 100644
index 0000000000000000000000000000000000000000..8201b81e49041da875fca59f159dbfe083442f9b
--- /dev/null
+++ b/results/train/ellipse/problem_5617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1be2da1367e3b2220b5ce408d36f0bd493c122b7624ed1b15b7bbd0bcaac2ae6
+size 276511
diff --git a/results/train/ellipse/problem_5618.png b/results/train/ellipse/problem_5618.png
new file mode 100644
index 0000000000000000000000000000000000000000..2953ecd0235726218229c6a062ddde7d11f96c06
--- /dev/null
+++ b/results/train/ellipse/problem_5618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:152a7e89656082fad05118ca1ffe3d3718bf8c6d381a52543817dce0024ebb07
+size 221531
diff --git a/results/train/ellipse/problem_5630.png b/results/train/ellipse/problem_5630.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b5b63b13583607b232f7ed448ebf02672529f9f
--- /dev/null
+++ b/results/train/ellipse/problem_5630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef6e4297f38973af05f3959829d2e39beae61b435124a54ee3374a52a44adea7
+size 237006
diff --git a/results/train/ellipse/problem_5637.png b/results/train/ellipse/problem_5637.png
new file mode 100644
index 0000000000000000000000000000000000000000..53369613838152636b7e2449ad6b5da4a3d1e032
--- /dev/null
+++ b/results/train/ellipse/problem_5637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a10f1685f68f2763b526d8ab138ce8eabf0e49b4326ed7d434bd23ae2e5ea56
+size 225350
diff --git a/results/train/ellipse/problem_5642.png b/results/train/ellipse/problem_5642.png
new file mode 100644
index 0000000000000000000000000000000000000000..95093d9870d33d3e49a990bac897160d760e6ec0
--- /dev/null
+++ b/results/train/ellipse/problem_5642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a41edf0f10fe5e5a87396aa20c8da99329270eaad8f91a1caf40526981d1d81
+size 218899
diff --git a/results/train/ellipse/problem_5643.png b/results/train/ellipse/problem_5643.png
new file mode 100644
index 0000000000000000000000000000000000000000..27cf41e2934fc008e60a68a27f0d336bc796fd67
--- /dev/null
+++ b/results/train/ellipse/problem_5643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c14b2ded79a4c4b4d48d4d8fc6fdfa2008e142fd8903fec8334be9a006b02e3d
+size 231555
diff --git a/results/train/ellipse/problem_5646.png b/results/train/ellipse/problem_5646.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f77961fce589293b85c3cdfc93eb4dba9522828
--- /dev/null
+++ b/results/train/ellipse/problem_5646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c61ac09dd428e535ece794cab677ad4907ab854f338b5387073dad947285fbf
+size 221479
diff --git a/results/train/ellipse/problem_5654.png b/results/train/ellipse/problem_5654.png
new file mode 100644
index 0000000000000000000000000000000000000000..0221a8798023c86b208edede8afca7b3b0972c23
--- /dev/null
+++ b/results/train/ellipse/problem_5654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4874ab2f3ec1f347b91cd0a352fd3e788ba840048a73897166ee6bb30daf1e4
+size 216136
diff --git a/results/train/ellipse/problem_5659.png b/results/train/ellipse/problem_5659.png
new file mode 100644
index 0000000000000000000000000000000000000000..7303fa6e3cebbca3fb658a1cfa6eab4ac4607897
--- /dev/null
+++ b/results/train/ellipse/problem_5659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01c68e7d9bf3737befd38703f3c8a5d8dfac3c11f3108cce56e6e390e48b30e0
+size 226730
diff --git a/results/train/ellipse/problem_5665.png b/results/train/ellipse/problem_5665.png
new file mode 100644
index 0000000000000000000000000000000000000000..c27f0bbf03c0037a4b5c39490c9fd9f62f72da61
--- /dev/null
+++ b/results/train/ellipse/problem_5665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee64fe31ea097f70ad41847f86b8498b88c2ab522e92ce64734706fcaf5d5155
+size 186131
diff --git a/results/train/ellipse/problem_5671.png b/results/train/ellipse/problem_5671.png
new file mode 100644
index 0000000000000000000000000000000000000000..c91d5fe600d3ab580e80227be7681675f271b446
--- /dev/null
+++ b/results/train/ellipse/problem_5671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9850fabf05c8b69e7507ec800914b6d3166677419c4386c650a0b43cd04f6e5d
+size 211023
diff --git a/results/train/ellipse/problem_5673.png b/results/train/ellipse/problem_5673.png
new file mode 100644
index 0000000000000000000000000000000000000000..68ce2a1d6594aa5548ef4aa433b9551f8f28b0bf
--- /dev/null
+++ b/results/train/ellipse/problem_5673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29a98b668a2429973dfff082a7726cb316f9cbc6ad09622c61856c4f7374a3ee
+size 218292
diff --git a/results/train/ellipse/problem_5674.png b/results/train/ellipse/problem_5674.png
new file mode 100644
index 0000000000000000000000000000000000000000..70aba5d17d21070775aa5b7d5847f22f48f2d6db
--- /dev/null
+++ b/results/train/ellipse/problem_5674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29d9002691bf27e71cd6f388b38b27df290b58b352ce107b70152dccd857e4ca
+size 228302
diff --git a/results/train/ellipse/problem_5678.png b/results/train/ellipse/problem_5678.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ac7d056140d2bdf14035ff75450055f891d927d
--- /dev/null
+++ b/results/train/ellipse/problem_5678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86fee271cb71633b1436c9e3e1904266bcfc93065385ad0d83453db672a527b5
+size 215482
diff --git a/results/train/ellipse/problem_5679.png b/results/train/ellipse/problem_5679.png
new file mode 100644
index 0000000000000000000000000000000000000000..39c02f305e1a7fb70c33aeb979d7f0cf12b34751
--- /dev/null
+++ b/results/train/ellipse/problem_5679.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc57097165f1718ec4948fc7d83ef9cf192c8702f6d9e290f2f462f1567545ae
+size 225565
diff --git a/results/train/ellipse/problem_5682.png b/results/train/ellipse/problem_5682.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ae4fd512dc252be685e3bb2ad3c87542b8ccf0c
--- /dev/null
+++ b/results/train/ellipse/problem_5682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:221833e491264e35afe466007dc7aa0fdba7bc5c129590f461949c25edec457a
+size 193174
diff --git a/results/train/ellipse/problem_5683.png b/results/train/ellipse/problem_5683.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bf2ccbe3ec048d3c2182f3d82f2ded708d6467a
--- /dev/null
+++ b/results/train/ellipse/problem_5683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3868d3483423d26089ce0a3b44000bfa81951d2706c61a432ab6cce5e412be1a
+size 198587
diff --git a/results/train/ellipse/problem_5692.png b/results/train/ellipse/problem_5692.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba329fd149472420a5427ea94f35cc713d0c75f8
--- /dev/null
+++ b/results/train/ellipse/problem_5692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fd0f627b6fbc9c35f46bca92482e7b20c091320a604ab0bee662882dd7ca4d8
+size 213291
diff --git a/results/train/ellipse/problem_5693.png b/results/train/ellipse/problem_5693.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd4ddcf733e081239f277de7bbcc825e90b90d43
--- /dev/null
+++ b/results/train/ellipse/problem_5693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e3318e517a724fd7ab5384b0b585a28c674ab4e115c35c754ba8045fb878490
+size 211102
diff --git a/results/train/ellipse/problem_5697.png b/results/train/ellipse/problem_5697.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d45ccb6ad3edf53c4f079b31cf82285551f851d
--- /dev/null
+++ b/results/train/ellipse/problem_5697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa03f11ae3eecbbfe0250f72b4bbb9bc9d56e25bf071aedfedffe784eb414b81
+size 186826
diff --git a/results/train/ellipse/problem_5699.png b/results/train/ellipse/problem_5699.png
new file mode 100644
index 0000000000000000000000000000000000000000..95c71828e3c7463d548c4deba3559a04fbd16114
--- /dev/null
+++ b/results/train/ellipse/problem_5699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:704030c1227dbac4bcf46135790b7c6d5b091d33f12f96db4f541a3b08785b8c
+size 240599
diff --git a/results/train/ellipse/problem_5701.png b/results/train/ellipse/problem_5701.png
new file mode 100644
index 0000000000000000000000000000000000000000..54d3f71b8eec8f9d26577f55e2780940ac67165f
--- /dev/null
+++ b/results/train/ellipse/problem_5701.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d9f6ba605fc24fdab95ad3bf1a0978912daec9a6ccd306bbf060de64f0256b3
+size 240408
diff --git a/results/train/ellipse/problem_5703.png b/results/train/ellipse/problem_5703.png
new file mode 100644
index 0000000000000000000000000000000000000000..75ff99d2f262a36a9f32cae88386d3b0719e3bf8
--- /dev/null
+++ b/results/train/ellipse/problem_5703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e75bc18ed223a86d3ca1c1bf9eab9378b23f4a47becbda8542234716ace04a9
+size 236788
diff --git a/results/train/ellipse/problem_5704.png b/results/train/ellipse/problem_5704.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a6c0bead0b2d4ad520c9d2478b655c9ea0bbce5
--- /dev/null
+++ b/results/train/ellipse/problem_5704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3fe81d216dd489a855971eac6db1dcb7804df8103c9b1338ba84f77a111510b
+size 226564
diff --git a/results/train/ellipse/problem_5706.png b/results/train/ellipse/problem_5706.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a8f59ae6e05ee137da4fa80233d315050f4c6be
--- /dev/null
+++ b/results/train/ellipse/problem_5706.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da6517ff11f4883a2905dea1937cb06edcdabd9d54d050a105a05929b0691b77
+size 231226
diff --git a/results/train/ellipse/problem_5713.png b/results/train/ellipse/problem_5713.png
new file mode 100644
index 0000000000000000000000000000000000000000..92fc8a0bf83cafc17ff89910740482f07bc908da
--- /dev/null
+++ b/results/train/ellipse/problem_5713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4d6b5c838a81f4a6d978a9f45c882d61e4c27c348829776e6af7ad3cc6ce864
+size 190254
diff --git a/results/train/ellipse/problem_5720.png b/results/train/ellipse/problem_5720.png
new file mode 100644
index 0000000000000000000000000000000000000000..1317f155dfdc319449eb1be8674218a22e87b693
--- /dev/null
+++ b/results/train/ellipse/problem_5720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96ae5939c4d6a7cb16d9305b6034302d2e3175f2bb16a329b80512e8dc0ba0cf
+size 217866
diff --git a/results/train/ellipse/problem_5722.png b/results/train/ellipse/problem_5722.png
new file mode 100644
index 0000000000000000000000000000000000000000..996c20f052b698820b6afa9ca91ef658345e3e3d
--- /dev/null
+++ b/results/train/ellipse/problem_5722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29c75d2417bb05f044429d50ca3b9bc1f4675a093fe98e87156bce30fe42cc3f
+size 196012
diff --git a/results/train/ellipse/problem_5731.png b/results/train/ellipse/problem_5731.png
new file mode 100644
index 0000000000000000000000000000000000000000..97904ddbd2054ee9b2bf5f5a0e05605cecc58bd5
--- /dev/null
+++ b/results/train/ellipse/problem_5731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ece74cd64091c006e397bacc280c03a93d0b54d9950dc0dfeed0d933e7b2768
+size 217814
diff --git a/results/train/ellipse/problem_5732.png b/results/train/ellipse/problem_5732.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8d3dc239c48834620fbcbabdc189ec83de42722
--- /dev/null
+++ b/results/train/ellipse/problem_5732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ad4f4692e494263b59010838c38bbf2e4d867541be8c3a6eb2352e26c9e96be
+size 226153
diff --git a/results/train/ellipse/problem_5738.png b/results/train/ellipse/problem_5738.png
new file mode 100644
index 0000000000000000000000000000000000000000..db170c111e82736e3fea8f07a1702f94d52a54ce
--- /dev/null
+++ b/results/train/ellipse/problem_5738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d747084db2af525d6de1704fd68ee0f33693144f1cbb4efa3397474ebc367d3f
+size 229044
diff --git a/results/train/ellipse/problem_5744.png b/results/train/ellipse/problem_5744.png
new file mode 100644
index 0000000000000000000000000000000000000000..10623c0a30de33bf43e23924c295c2d61dfd58b6
--- /dev/null
+++ b/results/train/ellipse/problem_5744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:805e7dda6d5b5bb9899a34cdcfabce8878e43d576940a3d1ef46b0d42fef4c33
+size 226426
diff --git a/results/train/ellipse/problem_5749.png b/results/train/ellipse/problem_5749.png
new file mode 100644
index 0000000000000000000000000000000000000000..8777a3b52ffc204b692e89dd47ea6d1cfb3a3018
--- /dev/null
+++ b/results/train/ellipse/problem_5749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8ff1caf45339f37391d72c4f758dd3d9e605e721ea9ed46029538a1310f86bd
+size 191610
diff --git a/results/train/ellipse/problem_5755.png b/results/train/ellipse/problem_5755.png
new file mode 100644
index 0000000000000000000000000000000000000000..e846a486d356e30826ecfe4c8826f1bbd2179481
--- /dev/null
+++ b/results/train/ellipse/problem_5755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e77df2066857d7301d4f6fd43d56f44102323fb77dbd6e632e90431c08126943
+size 214618
diff --git a/results/train/ellipse/problem_5757.png b/results/train/ellipse/problem_5757.png
new file mode 100644
index 0000000000000000000000000000000000000000..70b57aed84a138aaedfa75713e5cbbc2851031f0
--- /dev/null
+++ b/results/train/ellipse/problem_5757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b45130a7a021bcd3c91f5be10bbd8991c3af6edf86fdd9aa8c7c30f2eed76c87
+size 209224
diff --git a/results/train/ellipse/problem_5759.png b/results/train/ellipse/problem_5759.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cfd1e80b546505c69750723f390b4e8478ccdd0
--- /dev/null
+++ b/results/train/ellipse/problem_5759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8470586a80d6ce49065f6a655b2450e75a594a9ca2442c95352b94a3eaf7540c
+size 207500
diff --git a/results/train/ellipse/problem_5764.png b/results/train/ellipse/problem_5764.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d7f86403f7b3c29b0a4e499110d5b0e863006ee
--- /dev/null
+++ b/results/train/ellipse/problem_5764.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9bb8ca99214c500770005f2c9480e624c8b388f705d17b3ff29f4624c2ea7f0
+size 209917
diff --git a/results/train/ellipse/problem_5768.png b/results/train/ellipse/problem_5768.png
new file mode 100644
index 0000000000000000000000000000000000000000..65c2d6255902e130e7c3343d0b56b7c997c7987c
--- /dev/null
+++ b/results/train/ellipse/problem_5768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5c33a8790446a26d9129a46b15e428989aff7dfef0f39d9d6d07c5104fd37e0
+size 232516
diff --git a/results/train/ellipse/problem_5776.png b/results/train/ellipse/problem_5776.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcbf6458a34d419881a9abb204f4d31161a7c3e0
--- /dev/null
+++ b/results/train/ellipse/problem_5776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd327c153922372fe38d7813630274c7f611cf431ba43353e482d4fed849d054
+size 205382
diff --git a/results/train/ellipse/problem_5786.png b/results/train/ellipse/problem_5786.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e9f2c1b7a9e6372ecc3f27e13acc33e86246550
--- /dev/null
+++ b/results/train/ellipse/problem_5786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b477f42655f149a2261cf8301d2b6decd00dcab5d5598e687d8f6c8d9a39d40
+size 218521
diff --git a/results/train/ellipse/problem_5788.png b/results/train/ellipse/problem_5788.png
new file mode 100644
index 0000000000000000000000000000000000000000..5df4795201048ec5f2c80a71211ca04f8044851e
--- /dev/null
+++ b/results/train/ellipse/problem_5788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb266ad65a840c522f1e93d3fca4577f5b847e2ede9a8945affe91d786f207dc
+size 227557
diff --git a/results/train/ellipse/problem_5791.png b/results/train/ellipse/problem_5791.png
new file mode 100644
index 0000000000000000000000000000000000000000..453991c29fb6ee8985c89714358cdec23c2525e9
--- /dev/null
+++ b/results/train/ellipse/problem_5791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b776d6b52db53295630021dc5a37073b571aa7e77e6a8395f6332195e59d683
+size 233614
diff --git a/results/train/ellipse/problem_5795.png b/results/train/ellipse/problem_5795.png
new file mode 100644
index 0000000000000000000000000000000000000000..391afdf170d5004781475872582a36d46aab12cd
--- /dev/null
+++ b/results/train/ellipse/problem_5795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a9eabc45a941bfad4aa9a35bf86f89cbe2ab3814d377ac294a2870b4d4d20fb
+size 193828
diff --git a/results/train/ellipse/problem_5798.png b/results/train/ellipse/problem_5798.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8fd1c90b15a2407f6cabf795963cc290ceaca7e
--- /dev/null
+++ b/results/train/ellipse/problem_5798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28364b390e2710df97748b4fdd7f695ccfef6f722b504dfb188cd48a1d423b3f
+size 217907
diff --git a/results/train/ellipse/problem_5807.png b/results/train/ellipse/problem_5807.png
new file mode 100644
index 0000000000000000000000000000000000000000..697213f802f8557845f51ae50777827f3b2cee6e
--- /dev/null
+++ b/results/train/ellipse/problem_5807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:878468b9acd9c6fe78bb7cfc3baaf43c5268b589b777c836b9393774db9d05d7
+size 216991
diff --git a/results/train/ellipse/problem_5810.png b/results/train/ellipse/problem_5810.png
new file mode 100644
index 0000000000000000000000000000000000000000..4203ed8c38fe507fbe2cf3a51298ad458a440fe3
--- /dev/null
+++ b/results/train/ellipse/problem_5810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75ff25a8fbaa80170c132138457930274b112fff3ad091f73075714590b0c99d
+size 222020
diff --git a/results/train/ellipse/problem_5811.png b/results/train/ellipse/problem_5811.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a6501286584abb094191eb7209b3df73efb7106
--- /dev/null
+++ b/results/train/ellipse/problem_5811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3d601339e4ba2c81d50571bc3c0e2e1e603fa22a67743c76cd4342aa6a4893e
+size 218837
diff --git a/results/train/ellipse/problem_5816.png b/results/train/ellipse/problem_5816.png
new file mode 100644
index 0000000000000000000000000000000000000000..15aedb82692726d04d612ffcda2ae5716a476b05
--- /dev/null
+++ b/results/train/ellipse/problem_5816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bf236eed582b0df73e7b5e871cfb831d9cf23961e2fa1fa056cb32504bad059
+size 222901
diff --git a/results/train/ellipse/problem_5817.png b/results/train/ellipse/problem_5817.png
new file mode 100644
index 0000000000000000000000000000000000000000..871c82846e21be7e25d27b068a83bd18622623aa
--- /dev/null
+++ b/results/train/ellipse/problem_5817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:603381900c38b5746ec741efca750d5216603a5a4cab482008ed80c98e83cd87
+size 238251
diff --git a/results/train/ellipse/problem_5819.png b/results/train/ellipse/problem_5819.png
new file mode 100644
index 0000000000000000000000000000000000000000..16c4fa50b4b25d888df08dcf4cb680164273c803
--- /dev/null
+++ b/results/train/ellipse/problem_5819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e78e9f85efcb00233a75cc2caf3a637ba0e1b5929b66151b45763c71793ff7b9
+size 215680
diff --git a/results/train/ellipse/problem_5832.png b/results/train/ellipse/problem_5832.png
new file mode 100644
index 0000000000000000000000000000000000000000..58a8d7af423a10bed73afbd31f1c49ff25eb7bdc
--- /dev/null
+++ b/results/train/ellipse/problem_5832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:072468054b288da9753ecd6da4481865abc7bdd466274838b6f60e0756dc5465
+size 222071
diff --git a/results/train/ellipse/problem_5836.png b/results/train/ellipse/problem_5836.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fdafa7984982405969bc39deac3841835e38c69
--- /dev/null
+++ b/results/train/ellipse/problem_5836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a84b38d68acf05d6b8853f3650db83779b4023baa813d4709fb80c85347c0f8
+size 246469
diff --git a/results/train/ellipse/problem_5838.png b/results/train/ellipse/problem_5838.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb0dd2197cd22d4ca3e27f02924664c62944e854
--- /dev/null
+++ b/results/train/ellipse/problem_5838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03bb866dc21f24d7dfe2dbd7d3b13357fffc6e7e788d3266b9911a4e18f63308
+size 219732
diff --git a/results/train/ellipse/problem_5839.png b/results/train/ellipse/problem_5839.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8f9f618f33e8a75eaf64c3c6b6e7eade5fa24ec
--- /dev/null
+++ b/results/train/ellipse/problem_5839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79ddb318467dba8b070cfc7542580bc6e8cea7970d97a93bafd1857bee5dba88
+size 222631
diff --git a/results/train/ellipse/problem_5851.png b/results/train/ellipse/problem_5851.png
new file mode 100644
index 0000000000000000000000000000000000000000..d13287f47c3ab5832fd01844255946f6e91ca303
--- /dev/null
+++ b/results/train/ellipse/problem_5851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49670a1a74bd86fc35f5a698aca8e89dbd62c83ca56bcb3bcd66712acfe1d2c4
+size 217466
diff --git a/results/train/ellipse/problem_5865.png b/results/train/ellipse/problem_5865.png
new file mode 100644
index 0000000000000000000000000000000000000000..4febe4f73f1094aa9022950d492b569e51c28af1
--- /dev/null
+++ b/results/train/ellipse/problem_5865.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e7cca9391e5ac36bdf536509f674e893ff0e34ea6771b7bf67095aa78403a50
+size 231703
diff --git a/results/train/ellipse/problem_5869.png b/results/train/ellipse/problem_5869.png
new file mode 100644
index 0000000000000000000000000000000000000000..e55515a0975cdb8cf9c7a97f0ca70ba53ee58c6b
--- /dev/null
+++ b/results/train/ellipse/problem_5869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66bdb8d9692216ef7e44a01e0ad054c9f64e6a4dece174d24ba358e68406cfa1
+size 197044
diff --git a/results/train/ellipse/problem_5871.png b/results/train/ellipse/problem_5871.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee1e9247a8949c326a44a5b295597e06b8e2dba7
--- /dev/null
+++ b/results/train/ellipse/problem_5871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13d91b35862c6fddf87ea49700958cf60cbe54d929733456f654b4069711a390
+size 219678
diff --git a/results/train/ellipse/problem_5872.png b/results/train/ellipse/problem_5872.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fe6f073fce898ca70c5605186956c5f5099b163
--- /dev/null
+++ b/results/train/ellipse/problem_5872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32c1a087051c925517b2f76b6c54277285aef1ddd1399b876322a5095417fbd8
+size 233046
diff --git a/results/train/ellipse/problem_5873.png b/results/train/ellipse/problem_5873.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bb2a66c54d8e0af785a38e7b2c6529eced494b7
--- /dev/null
+++ b/results/train/ellipse/problem_5873.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bba3e7278195086f0bd58f3804d148d06efcbfcd677bef672e31b2fdfd62e859
+size 221016
diff --git a/results/train/ellipse/problem_5885.png b/results/train/ellipse/problem_5885.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ce62620cdad1f5e2936c671e7654f978ce07efa
--- /dev/null
+++ b/results/train/ellipse/problem_5885.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5988ae751204aed641c4dbba6f05f79cef6c6ce7401b82295174a8bedb278d36
+size 231318
diff --git a/results/train/ellipse/problem_5886.png b/results/train/ellipse/problem_5886.png
new file mode 100644
index 0000000000000000000000000000000000000000..388b6a71821cfb33497dbdc31e0370a29fde688b
--- /dev/null
+++ b/results/train/ellipse/problem_5886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b94c191c91b7739e23f28aebdcad4d3c018164799cf4422f0873eb8a28dbf44e
+size 221494
diff --git a/results/train/ellipse/problem_5889.png b/results/train/ellipse/problem_5889.png
new file mode 100644
index 0000000000000000000000000000000000000000..df6dd174bff5ab3d5960dc66cde94594164329c8
--- /dev/null
+++ b/results/train/ellipse/problem_5889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55ef2537f1dc68c6fc35eb812a5b884ececc874ea16497e8027a6d4d6bd2b4ad
+size 223755
diff --git a/results/train/ellipse/problem_5895.png b/results/train/ellipse/problem_5895.png
new file mode 100644
index 0000000000000000000000000000000000000000..70183d5cb7c53b2845d891fb59d75daa465a914a
--- /dev/null
+++ b/results/train/ellipse/problem_5895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5db330395f506de0696ed3d1852a87b9c296af658e78fbe94506113b0bd1a5b3
+size 209492
diff --git a/results/train/ellipse/problem_5897.png b/results/train/ellipse/problem_5897.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd20b2fda761f7b068ba77668d1bbd542fbbe39e
--- /dev/null
+++ b/results/train/ellipse/problem_5897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c1bb3b2e3c94506ae5e7e1d95d0c81bafd976f892cfc5fa41b3f5fa0799818a
+size 231542
diff --git a/results/train/ellipse/problem_5899.png b/results/train/ellipse/problem_5899.png
new file mode 100644
index 0000000000000000000000000000000000000000..b25a6a0b87510dec54e91fb7196a910b06692317
--- /dev/null
+++ b/results/train/ellipse/problem_5899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ab67d4aedb551402b22cafa0a92a169c8302e19e17a8f9512be769d29ce4ba9
+size 232199
diff --git a/results/train/ellipse/problem_5902.png b/results/train/ellipse/problem_5902.png
new file mode 100644
index 0000000000000000000000000000000000000000..42bb72c8126481bd22db49f5d3f51c6aa11c0344
--- /dev/null
+++ b/results/train/ellipse/problem_5902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51b1d503c9ef66dd15d66b42a0b5957cca711546b522d3bee05f4824790b3ed4
+size 232638
diff --git a/results/train/ellipse/problem_5909.png b/results/train/ellipse/problem_5909.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ed8c5bbe388f081d248379317323c6778ad12cc
--- /dev/null
+++ b/results/train/ellipse/problem_5909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:495a298a67374729713d4c077d4d918a6d69d098b37ec5e49af76be9aaca4f51
+size 219305
diff --git a/results/train/ellipse/problem_5910.png b/results/train/ellipse/problem_5910.png
new file mode 100644
index 0000000000000000000000000000000000000000..79879e96821d49ef2b8cf9491fcdae4f43af2603
--- /dev/null
+++ b/results/train/ellipse/problem_5910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3a0e3f71e2b5b94850c91d9721e0bde5cb0391e84aebf48b01e53f98b3a460d
+size 233785
diff --git a/results/train/ellipse/problem_5913.png b/results/train/ellipse/problem_5913.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9611df60844727f1bbcd5cf82c91e0d505bef37
--- /dev/null
+++ b/results/train/ellipse/problem_5913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3b737eaf9f3ecb309833fc4cf1926d77792353a6730bc1a8462258404c9e262
+size 221088
diff --git a/results/train/ellipse/problem_5929.png b/results/train/ellipse/problem_5929.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec7e42eb86242d8e6a57a1e473008637d15d24fa
--- /dev/null
+++ b/results/train/ellipse/problem_5929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2762fa39ac509279a396115f6d7dbae30bec2a772e99265e4940538fc282a74d
+size 224575
diff --git a/results/train/ellipse/problem_5930.png b/results/train/ellipse/problem_5930.png
new file mode 100644
index 0000000000000000000000000000000000000000..04bbb6d8d49ddba98fe04ab921e2f2363492ca89
--- /dev/null
+++ b/results/train/ellipse/problem_5930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cc713acc031be9a9f3e07d80a34e0d2901f9d18e54fef383ec86f1d5d6cb51d
+size 231892
diff --git a/results/train/ellipse/problem_5936.png b/results/train/ellipse/problem_5936.png
new file mode 100644
index 0000000000000000000000000000000000000000..2df04dd0389f991906b40dba7e2c25da830d930a
--- /dev/null
+++ b/results/train/ellipse/problem_5936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62a007985dfd4fd3706313042e7928d4286c4f48a09415eba6d687e2b675d3a4
+size 214368
diff --git a/results/train/ellipse/problem_5943.png b/results/train/ellipse/problem_5943.png
new file mode 100644
index 0000000000000000000000000000000000000000..9953459029c79bbc84ef0dd00b3135847a7a10e3
--- /dev/null
+++ b/results/train/ellipse/problem_5943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6291bb30f062385b98ef4d6f8b5267d0333a22fd0faebfc15381a4d62db84b25
+size 219702
diff --git a/results/train/ellipse/problem_5944.png b/results/train/ellipse/problem_5944.png
new file mode 100644
index 0000000000000000000000000000000000000000..24ba60355353108d08811eaf92d5559a73b528ce
--- /dev/null
+++ b/results/train/ellipse/problem_5944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac218d5c433d6c4d883a80f2f343594ac16d87dcb81267a717074bcd6560cf46
+size 186094
diff --git a/results/train/ellipse/problem_5949.png b/results/train/ellipse/problem_5949.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebce21c00a7dcf3a96ea5e5509b29591ef40df68
--- /dev/null
+++ b/results/train/ellipse/problem_5949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:230bee4e23b29dce75263660b7397ae24de8f90325914aa5d9769690eab6dace
+size 217607
diff --git a/results/train/ellipse/problem_5953.png b/results/train/ellipse/problem_5953.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2a1fd931e141d6e1c85b5dbd5b9d2f293f2b41a
--- /dev/null
+++ b/results/train/ellipse/problem_5953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec8af9d76edd30831dc4f97b9492a19094cbe356926ee834c0e33f17b2dba73e
+size 213847
diff --git a/results/train/ellipse/problem_5954.png b/results/train/ellipse/problem_5954.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ada38f88d0cdca0a14a7312a62ba2489dc83cb1
--- /dev/null
+++ b/results/train/ellipse/problem_5954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d6776071295e1adf47ca8fc99d02f8c1a666380cf5f2e24a12a65526b7bfee3
+size 208110
diff --git a/results/train/ellipse/problem_5956.png b/results/train/ellipse/problem_5956.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e7516a778bfd8473338a184273cd90de7b61df4
--- /dev/null
+++ b/results/train/ellipse/problem_5956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9aa2dfba71e3b395ec22c964f751560255abf2293bd9665b5acbbaf28fae24db
+size 232825
diff --git a/results/train/ellipse/problem_5958.png b/results/train/ellipse/problem_5958.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0ff4c88962fcc027963ee763e3ada2710c891c7
--- /dev/null
+++ b/results/train/ellipse/problem_5958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f39d544de0c42a5c048963438c2df04196a28f26698c8a20bfacd5b2630d26e2
+size 225081
diff --git a/results/train/ellipse/problem_5962.png b/results/train/ellipse/problem_5962.png
new file mode 100644
index 0000000000000000000000000000000000000000..8bf250632f89de93dcde0c7a74378361fbe006bf
--- /dev/null
+++ b/results/train/ellipse/problem_5962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3998e8cb49e4a2c13f141972e8c81f1e844f0f0e3d76396b780c630895ab1ec8
+size 216538
diff --git a/results/train/ellipse/problem_5969.png b/results/train/ellipse/problem_5969.png
new file mode 100644
index 0000000000000000000000000000000000000000..49872c8ea928c979e0c8386cdd780b6c2611835c
--- /dev/null
+++ b/results/train/ellipse/problem_5969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e0f6bf8407002b5146dae8083cf59163dffd2fc8931ae6c448623eaaf9abfbe
+size 229062
diff --git a/results/train/ellipse/problem_5970.png b/results/train/ellipse/problem_5970.png
new file mode 100644
index 0000000000000000000000000000000000000000..329ec2b661a8607c3804f6360ba847d439dfd92f
--- /dev/null
+++ b/results/train/ellipse/problem_5970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07f218e3369d2a31cb571494c30790595a9b9b119b9d6c45f30cbab43873c089
+size 227659
diff --git a/results/train/ellipse/problem_5980.png b/results/train/ellipse/problem_5980.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9daa8bc7d07268bf0bd5a1dd2fff5810a5e23b6
--- /dev/null
+++ b/results/train/ellipse/problem_5980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2730f0ea84ed7ab13e817ff6ded10dc716252a333b8003f14386248f1546519f
+size 220800
diff --git a/results/train/ellipse/problem_5982.png b/results/train/ellipse/problem_5982.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c3f9cea04152587e08eabe32296f23cc361ef49
--- /dev/null
+++ b/results/train/ellipse/problem_5982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5482b799628928316601dd7c1d65c512a885ae6900469936471e34f09043f8f9
+size 213207
diff --git a/results/train/ellipse/problem_5987.png b/results/train/ellipse/problem_5987.png
new file mode 100644
index 0000000000000000000000000000000000000000..88e8b98f4dc44cdf3e487fae5b72adeb5da2ba6e
--- /dev/null
+++ b/results/train/ellipse/problem_5987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0dfa669544e02eedb459e88a3cf7ae78738dc0fdd5ff2a668838ad4145c2fed
+size 182073
diff --git a/results/train/ellipse/problem_5988.png b/results/train/ellipse/problem_5988.png
new file mode 100644
index 0000000000000000000000000000000000000000..77765ee14d929c2ea0c18dcc58a1e39797a74b75
--- /dev/null
+++ b/results/train/ellipse/problem_5988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57d603efdf339441ebf4d0b44b1d7f143f6f1957642eb34364c663cbb14fe187
+size 216053
diff --git a/results/train/ellipse/problem_5991.png b/results/train/ellipse/problem_5991.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d2054cc6043943f35da09b4d1d94ae10203f0fa
--- /dev/null
+++ b/results/train/ellipse/problem_5991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dadd83cbc65062ebbd7905dd272c3db9d64123d583b075b3250f405e2f19115
+size 208345
diff --git a/results/train/ellipse/problem_5996.png b/results/train/ellipse/problem_5996.png
new file mode 100644
index 0000000000000000000000000000000000000000..33fed60d9d0d3b815a576ec8520acd0b3ef7930d
--- /dev/null
+++ b/results/train/ellipse/problem_5996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4df6a7f88f52df08f66d74ec96d86b61768e8ba03970550656efe53d8da51def
+size 210595
diff --git a/results/train/ellipse/problem_6021.png b/results/train/ellipse/problem_6021.png
new file mode 100644
index 0000000000000000000000000000000000000000..6afd59bd4100f2db4469a9703949f8253dcf09a9
--- /dev/null
+++ b/results/train/ellipse/problem_6021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bc937f77241ce4e56a6201925c8554e3c58a47286daf12cba7485202659772d
+size 231657
diff --git a/results/train/ellipse/problem_6029.png b/results/train/ellipse/problem_6029.png
new file mode 100644
index 0000000000000000000000000000000000000000..328c47db8ca6eb322b1c41a875a35362aa0cb0ec
--- /dev/null
+++ b/results/train/ellipse/problem_6029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3a9de0ac5e6ed208aff88a6f937ed1ca5526eadfdc3814fc05ae21447367efc
+size 193494
diff --git a/results/train/ellipse/problem_6030.png b/results/train/ellipse/problem_6030.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4e25a7d818824d93acb6234acae7b58fcd0ee06
--- /dev/null
+++ b/results/train/ellipse/problem_6030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79ed86d02fe64250da6f72c8d6d7b4b16454b0be470e3b909637bbcfff441ff6
+size 217665
diff --git a/results/train/ellipse/problem_6033.png b/results/train/ellipse/problem_6033.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bc6892bbdf5898cb4f5bfb389911abe0ce0f83f
--- /dev/null
+++ b/results/train/ellipse/problem_6033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ea8f725890a039cdd8a6a68f122e352231997c9ad86039a31d16c1210400603
+size 234863
diff --git a/results/train/ellipse/problem_6045.png b/results/train/ellipse/problem_6045.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bbbb705bcd9a0ca1c44f15f6d656066c1968848
--- /dev/null
+++ b/results/train/ellipse/problem_6045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8cfa67e48590e3ad2c93413be9485ac83354c2523c490e9ea197a29e35885c2
+size 194547
diff --git a/results/train/ellipse/problem_6046.png b/results/train/ellipse/problem_6046.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddb77c6cd54a2a8b38a1abc09ea7fa80e358a642
--- /dev/null
+++ b/results/train/ellipse/problem_6046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3985f6e30ef7ca80583307a2290a9ed91167046d98849e4c24e8fd19f305e000
+size 237396
diff --git a/results/train/ellipse/problem_6053.png b/results/train/ellipse/problem_6053.png
new file mode 100644
index 0000000000000000000000000000000000000000..7396a7b6709f16786476ccfc9c99869d6fdc78db
--- /dev/null
+++ b/results/train/ellipse/problem_6053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b873662470c1da88546d46c31d9507c4a5b74e680513ab17490bb72026f0241a
+size 228195
diff --git a/results/train/ellipse/problem_6055.png b/results/train/ellipse/problem_6055.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cb975497cf8fe1e8740b805de50305a536e5a6e
--- /dev/null
+++ b/results/train/ellipse/problem_6055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5852ba9fc08083301ac526df1f96a2e1e799fcbefa99e4dadbd5f7d4bd9e87a9
+size 219408
diff --git a/results/train/ellipse/problem_6057.png b/results/train/ellipse/problem_6057.png
new file mode 100644
index 0000000000000000000000000000000000000000..839a90c3314e347e4b589707ad9f1bca760a7856
--- /dev/null
+++ b/results/train/ellipse/problem_6057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f854679ad00b6dbe4c589348d37cb802df7cc1c363a6a872d7fe34872fb9ab52
+size 212634
diff --git a/results/train/ellipse/problem_6064.png b/results/train/ellipse/problem_6064.png
new file mode 100644
index 0000000000000000000000000000000000000000..321fc9633d7ecb917e3527d32a7ff9a4f596cd54
--- /dev/null
+++ b/results/train/ellipse/problem_6064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:692f724966e2105a045af39b51f87ff6c8d839c452a02adbec1ee0eaef31df2e
+size 236658
diff --git a/results/train/ellipse/problem_6068.png b/results/train/ellipse/problem_6068.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dd854d30640378acacebfb706db50d67ea063b0
--- /dev/null
+++ b/results/train/ellipse/problem_6068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71860a2f8d22f01e22981b640ccaa4505b3f7fd5fa05f9b4a8b797d19d577793
+size 193068
diff --git a/results/train/ellipse/problem_6072.png b/results/train/ellipse/problem_6072.png
new file mode 100644
index 0000000000000000000000000000000000000000..282507df149750b0d3edf6caf0c48497317e4e3e
--- /dev/null
+++ b/results/train/ellipse/problem_6072.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9dee68cc9539982c9762ca79fdfeba0d4c7b02d0a9785e9be1f06397d80dd4ad
+size 229298
diff --git a/results/train/ellipse/problem_6073.png b/results/train/ellipse/problem_6073.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0e255d27531168ee0b328be28c831504fca7cb8
--- /dev/null
+++ b/results/train/ellipse/problem_6073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4786e65f42082b8da3fe7ca2a274b0ff2c4e279d657cd190bb2e4092b0757313
+size 227972
diff --git a/results/train/ellipse/problem_6085.png b/results/train/ellipse/problem_6085.png
new file mode 100644
index 0000000000000000000000000000000000000000..e235ad4a4e7a6442ce5b44df6989fa61491d6da9
--- /dev/null
+++ b/results/train/ellipse/problem_6085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3523c956f4188e1ea7cfe070efeaf06d0ff6ff775515af7ec6aaf0e04545f817
+size 229422
diff --git a/results/train/ellipse/problem_6088.png b/results/train/ellipse/problem_6088.png
new file mode 100644
index 0000000000000000000000000000000000000000..34ce2d675c6fc45d7985f989c21bddc51f017e00
--- /dev/null
+++ b/results/train/ellipse/problem_6088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a791d267f06925071c95154cabda940fce1bd102d9d5da7ca9058fe369e85b9d
+size 228235
diff --git a/results/train/ellipse/problem_6090.png b/results/train/ellipse/problem_6090.png
new file mode 100644
index 0000000000000000000000000000000000000000..69cbcbe51d11d98b63e2a5ec29e37e858cd2e6c9
--- /dev/null
+++ b/results/train/ellipse/problem_6090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d81dbc14bb5d56f928b6edf85c612da477e0f70f12191777be5ee1e99cb61cb3
+size 222777
diff --git a/results/train/ellipse/problem_6091.png b/results/train/ellipse/problem_6091.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b431b2bd716beb712da0038450ea3390b340761
--- /dev/null
+++ b/results/train/ellipse/problem_6091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18f13835d5184dc240fa432cacea74209d3325ffec70fb8ab863b5419425230c
+size 210907
diff --git a/results/train/ellipse/problem_6092.png b/results/train/ellipse/problem_6092.png
new file mode 100644
index 0000000000000000000000000000000000000000..5736dda1c3f505d918c71abed42644bfd666b5ce
--- /dev/null
+++ b/results/train/ellipse/problem_6092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da7a8f4d3b1c64c457b6034c79101166dacab320e3f1eac7d81871c580842cf4
+size 216292
diff --git a/results/train/ellipse/problem_6094.png b/results/train/ellipse/problem_6094.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1df3b6d94de1fe323b7351bb4d8c76988567d9a
--- /dev/null
+++ b/results/train/ellipse/problem_6094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a1f13ed12e5b7a07f9e5f36290299260c4e7a91c736ec4fcb5f7e421059f1e0
+size 231591
diff --git a/results/train/ellipse/problem_6098.png b/results/train/ellipse/problem_6098.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0921436b89727cbd5b4dd5ac4cafa7d92f5fb3a
--- /dev/null
+++ b/results/train/ellipse/problem_6098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e27d144925746b84dc9c42e3b11070627a37effb26985c28c55ba9904996f7e
+size 227726
diff --git a/results/train/ellipse/problem_6099.png b/results/train/ellipse/problem_6099.png
new file mode 100644
index 0000000000000000000000000000000000000000..00788804501996c2ea3f30f6637b4b4f04f53753
--- /dev/null
+++ b/results/train/ellipse/problem_6099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e64c25ef41bd53044d2fb285b6b39e836d6cf8309932df82beb53ff2775b3e7
+size 220536
diff --git a/results/train/ellipse/problem_6104.png b/results/train/ellipse/problem_6104.png
new file mode 100644
index 0000000000000000000000000000000000000000..9675008f2d5d7bfdad9724f04bdffd6f0d3ab537
--- /dev/null
+++ b/results/train/ellipse/problem_6104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a35e17305dbcc181835495d055531a098be458a3df57053402615cd7c2b3029b
+size 221837
diff --git a/results/train/ellipse/problem_6105.png b/results/train/ellipse/problem_6105.png
new file mode 100644
index 0000000000000000000000000000000000000000..08975846ab1e72592addf3e1dabc76abedd4a661
--- /dev/null
+++ b/results/train/ellipse/problem_6105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ca7c4dee4eb25291a5d06b54297684de06d18ba1f803de928a2282be4fa4b04
+size 215010
diff --git a/results/train/ellipse/problem_6106.png b/results/train/ellipse/problem_6106.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ddd8927ad3ae38c5110361ea9edd03b8e735fb6
--- /dev/null
+++ b/results/train/ellipse/problem_6106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b43c0ca9b17eae46ddc32289240b23222724bf9c6c3e66f285f8c4828c1ca70
+size 213886
diff --git a/results/train/ellipse/problem_6108.png b/results/train/ellipse/problem_6108.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfdb5ed1cc107ae2362bc64c5c51ec280c4cbcca
--- /dev/null
+++ b/results/train/ellipse/problem_6108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bb4d96fef20246d29b96a717b3c0df46cee73c21c084f0747a7f66217ca2a9c
+size 225788
diff --git a/results/train/ellipse/problem_6112.png b/results/train/ellipse/problem_6112.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ac5393fe73b91fa52022b1d214343965c8561d3
--- /dev/null
+++ b/results/train/ellipse/problem_6112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99b3b552f567009c14e7e0d9919bab9bde9bbff9f2f728850352fcf9f156c894
+size 251431
diff --git a/results/train/ellipse/problem_6116.png b/results/train/ellipse/problem_6116.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d2155092e1df14011e4de62ad8fbbcff7801854
--- /dev/null
+++ b/results/train/ellipse/problem_6116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa23ab67144624a803992380b84b0e9a7afe7f069b9e606e4729d7f2c38672c3
+size 212169
diff --git a/results/train/ellipse/problem_6117.png b/results/train/ellipse/problem_6117.png
new file mode 100644
index 0000000000000000000000000000000000000000..7481740074ff4ffba99d4a8e61d30957ae3536e2
--- /dev/null
+++ b/results/train/ellipse/problem_6117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d757cd10b2ddf6d9b9a5bc63126f81e685afc762211069ca56b660240a6b1eb
+size 209729
diff --git a/results/train/ellipse/problem_6118.png b/results/train/ellipse/problem_6118.png
new file mode 100644
index 0000000000000000000000000000000000000000..f89b3eeb1215e4a43fce31722d2c84871ae1c943
--- /dev/null
+++ b/results/train/ellipse/problem_6118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df67e351cc07cf80651b9cd8dd9c9644ba5979a765b5e500cce2be9725501ca6
+size 230818
diff --git a/results/train/ellipse/problem_6124.png b/results/train/ellipse/problem_6124.png
new file mode 100644
index 0000000000000000000000000000000000000000..263a2b2e628aa9e394483240d64195e9f209c8fb
--- /dev/null
+++ b/results/train/ellipse/problem_6124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddec915dc00701fd60c4581d7a71f9bd7297d1ba5185b9496ba434bbb4acf3be
+size 224760
diff --git a/results/train/ellipse/problem_6125.png b/results/train/ellipse/problem_6125.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f5f257c1ae9ae50c49b02a815efa6cce9e796ac
--- /dev/null
+++ b/results/train/ellipse/problem_6125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d44506c409f26a5f49cfa1522715b972022c2a86ba743e286e79c99c6386b3f
+size 226374
diff --git a/results/train/ellipse/problem_6126.png b/results/train/ellipse/problem_6126.png
new file mode 100644
index 0000000000000000000000000000000000000000..56e03564eb21c1e1e29e44e0c76c42cc1ae83ce3
--- /dev/null
+++ b/results/train/ellipse/problem_6126.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c1e96e32780dae27906d26a344146f8fde55f69e8071c712874abe33ba13651
+size 221527
diff --git a/results/train/ellipse/problem_6135.png b/results/train/ellipse/problem_6135.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec1e7c5d558f5cec436ac137711c565ddc7a1b67
--- /dev/null
+++ b/results/train/ellipse/problem_6135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff85e2e5b945a0d650e35f1f18ca2790ca4cbd3c5757cdb71f1f26628301913b
+size 223994
diff --git a/results/train/ellipse/problem_6139.png b/results/train/ellipse/problem_6139.png
new file mode 100644
index 0000000000000000000000000000000000000000..fab3bd14ecf790eecde03a50c30779350e43120c
--- /dev/null
+++ b/results/train/ellipse/problem_6139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe7e61a364a8253187fd886a0878877d60725c0aa63c2ad5114d7c5afae39608
+size 224797
diff --git a/results/train/ellipse/problem_6148.png b/results/train/ellipse/problem_6148.png
new file mode 100644
index 0000000000000000000000000000000000000000..c47ef4a89cd0d5e92927508563a2ffeaa6ef9243
--- /dev/null
+++ b/results/train/ellipse/problem_6148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06069107b115454e5140f32364db272bc8ccc03b4da2564049b25241b4f9f536
+size 234019
diff --git a/results/train/ellipse/problem_6150.png b/results/train/ellipse/problem_6150.png
new file mode 100644
index 0000000000000000000000000000000000000000..735369baf985a86c48c8c4c7478b893e8af8349f
--- /dev/null
+++ b/results/train/ellipse/problem_6150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b53dcbeaeb482ab7ea7c247d027813805745e41279b19b2cf8dca6a74d495d9a
+size 216269
diff --git a/results/train/ellipse/problem_6152.png b/results/train/ellipse/problem_6152.png
new file mode 100644
index 0000000000000000000000000000000000000000..23cc2eae482aa5c7cb6e233724c2a330a13c3908
--- /dev/null
+++ b/results/train/ellipse/problem_6152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d5055421625937d25c0b44aca714ab3e92b609b03612d10abda2f1173bb01c8
+size 225638
diff --git a/results/train/ellipse/problem_6153.png b/results/train/ellipse/problem_6153.png
new file mode 100644
index 0000000000000000000000000000000000000000..65bcca7e11756d610b54eb0678d4e9ba0fd0e3c3
--- /dev/null
+++ b/results/train/ellipse/problem_6153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7abc1d8e4453e7dc7694c915251615bf5337d2919c377de262a75a3ae5927496
+size 234812
diff --git a/results/train/ellipse/problem_6155.png b/results/train/ellipse/problem_6155.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ec465c9bd799bba34650aed585688842c2ecb44
--- /dev/null
+++ b/results/train/ellipse/problem_6155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d487c89d70676bed631a88df45f3d60cb5d3ced7088793d227f93a044b8dcc8e
+size 229268
diff --git a/results/train/ellipse/problem_6156.png b/results/train/ellipse/problem_6156.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b74faa3046f70d15a59d9df26cca61687a83786
--- /dev/null
+++ b/results/train/ellipse/problem_6156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2b612be8abc6f1e3826707cd49967ec13054074142a0ebd98308c2ac6160ced
+size 214716
diff --git a/results/train/ellipse/problem_6163.png b/results/train/ellipse/problem_6163.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed6176bee01ff762798dbab3af409f035c1e951b
--- /dev/null
+++ b/results/train/ellipse/problem_6163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fe1790634fc39e59f640fe9748910baa878398f044967c88d7bddd80d8b7627
+size 210814
diff --git a/results/train/ellipse/problem_6166.png b/results/train/ellipse/problem_6166.png
new file mode 100644
index 0000000000000000000000000000000000000000..da95e99c5c30d388074036d18fd8c3259b5f5c8e
--- /dev/null
+++ b/results/train/ellipse/problem_6166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98ac0368ebb1e57ae84d29cb62823ee63bf268f8c9df70ef1edda55d40811c5e
+size 212216
diff --git a/results/train/ellipse/problem_6167.png b/results/train/ellipse/problem_6167.png
new file mode 100644
index 0000000000000000000000000000000000000000..afc7f703bd45e40e60ac09c6eb2273753c37f40d
--- /dev/null
+++ b/results/train/ellipse/problem_6167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6082f37949cc2a8e36e6b4a85ff9ba933227f16cd135b6ea62e647641ff29ee3
+size 216248
diff --git a/results/train/ellipse/problem_6168.png b/results/train/ellipse/problem_6168.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e1237f008f5a8629a8c10aed6fb620f57adbfdd
--- /dev/null
+++ b/results/train/ellipse/problem_6168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f18d7d1d4e0d446944072eacd07099d3627d72bad3f1d9843fdff64957ce2410
+size 221324
diff --git a/results/train/ellipse/problem_6177.png b/results/train/ellipse/problem_6177.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fdaa268224f85d0befd97652243f1da5ec04b81
--- /dev/null
+++ b/results/train/ellipse/problem_6177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e0c10059c15890c5d3e5b048f873a487f3a8ff6b9f32d7fffc6c52f0314a037
+size 191200
diff --git a/results/train/ellipse/problem_6179.png b/results/train/ellipse/problem_6179.png
new file mode 100644
index 0000000000000000000000000000000000000000..111af42e4faa90a04ec03114d31e458681db22f4
--- /dev/null
+++ b/results/train/ellipse/problem_6179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8b0be1b2fa31f07741f3bc78f872c1f6eb9d3457bfcb716d3f807fa98dcb9c5
+size 229736
diff --git a/results/train/ellipse/problem_6184.png b/results/train/ellipse/problem_6184.png
new file mode 100644
index 0000000000000000000000000000000000000000..5db6011043ddb387c92a062d380ae189bed4cabf
--- /dev/null
+++ b/results/train/ellipse/problem_6184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc1e3a5b2a501d1725acd3d65862d2b3c280a6460c82648b820659a2d49293af
+size 233528
diff --git a/results/train/ellipse/problem_6195.png b/results/train/ellipse/problem_6195.png
new file mode 100644
index 0000000000000000000000000000000000000000..be294a51ee2c41ac3e8885df4fb28d48ade511a7
--- /dev/null
+++ b/results/train/ellipse/problem_6195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3fda879e2bf4e28c564485de3a25fe46636fff66aedb4ec6191537a8f9abe95
+size 223876
diff --git a/results/train/ellipse/problem_6197.png b/results/train/ellipse/problem_6197.png
new file mode 100644
index 0000000000000000000000000000000000000000..b77a3890503ef5f179e8252404c4b288c31d59d9
--- /dev/null
+++ b/results/train/ellipse/problem_6197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27c26a98243d4acc5d877f0c264ca57365af998843c1ef805920f0cd7d3e5edd
+size 219878
diff --git a/results/train/ellipse/problem_6199.png b/results/train/ellipse/problem_6199.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f659c5a5dea49c0423aff42ff616d19fb90550c
--- /dev/null
+++ b/results/train/ellipse/problem_6199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cce3e1c3b87c8d5cbd169b2283145863f66e971178226cdbad594197c4bb31bf
+size 223506
diff --git a/results/train/ellipse/problem_6204.png b/results/train/ellipse/problem_6204.png
new file mode 100644
index 0000000000000000000000000000000000000000..beb80aa3c53de06d819a7ecddc8713af0b71d491
--- /dev/null
+++ b/results/train/ellipse/problem_6204.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6c480d63c41d1703e8732d95ba08984454602fef808a763d11141446b6b5861
+size 221951
diff --git a/results/train/ellipse/problem_6213.png b/results/train/ellipse/problem_6213.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f278bdbbbf3c243d997e1bc0fec1497631ab3b8
--- /dev/null
+++ b/results/train/ellipse/problem_6213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32893c239148fc1739e53c5eada9b39dd5892836c04b5ef26e23236fc1942775
+size 218209
diff --git a/results/train/ellipse/problem_6214.png b/results/train/ellipse/problem_6214.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a1978660d74f07d7c7366ad6ef8e4b79aa5e017
--- /dev/null
+++ b/results/train/ellipse/problem_6214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ac906a45504ec37089593c546486f3d7d6d03c7d9bb251f59b500ec2875cc67
+size 236578
diff --git a/results/train/ellipse/problem_6223.png b/results/train/ellipse/problem_6223.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2b1259c8056c53148ead74ac4dca84039a94956
--- /dev/null
+++ b/results/train/ellipse/problem_6223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc098637d63b4d5222254ab0c0d1c1fe76f01b7a772a2012600196d976e589b3
+size 216500
diff --git a/results/train/ellipse/problem_6227.png b/results/train/ellipse/problem_6227.png
new file mode 100644
index 0000000000000000000000000000000000000000..95e046d0a749b9c7128655c0c14716352559af7f
--- /dev/null
+++ b/results/train/ellipse/problem_6227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:befa2e7a5e7e73f7c2f1af27c93c5223313edb6cb20d39e13903ef67b62386be
+size 220856
diff --git a/results/train/ellipse/problem_6228.png b/results/train/ellipse/problem_6228.png
new file mode 100644
index 0000000000000000000000000000000000000000..4123b2433c1492dc90c80e4c299fb8e82e6f5460
--- /dev/null
+++ b/results/train/ellipse/problem_6228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5fc0133a677520c91a380c60a12f0dd60cf913dad52e36fe3e006f04eff4acd
+size 241702
diff --git a/results/train/ellipse/problem_6233.png b/results/train/ellipse/problem_6233.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a3ff86a995d75d6d717581927726c3a21ff4d06
--- /dev/null
+++ b/results/train/ellipse/problem_6233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d85295dc5d3339424ff68c984b0e3f6a55b4b34108ecdac5a567fc5e0d8cfd19
+size 221380
diff --git a/results/train/ellipse/problem_6234.png b/results/train/ellipse/problem_6234.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3630ce12d1b8f61786e8829f6fb6bca5a697e51
--- /dev/null
+++ b/results/train/ellipse/problem_6234.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:093fd7f6898e546c34a824c416dfec1a935fe27da0808d634e27d2e4320a7682
+size 215497
diff --git a/results/train/ellipse/problem_6242.png b/results/train/ellipse/problem_6242.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7d777162c99a766c93d537614abb6429e705883
--- /dev/null
+++ b/results/train/ellipse/problem_6242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0714219ec6c90113f18ea4903b5cead03b6387776559cd9fdbc5b8f7e5599120
+size 226790
diff --git a/results/train/ellipse/problem_6243.png b/results/train/ellipse/problem_6243.png
new file mode 100644
index 0000000000000000000000000000000000000000..b643e8a71ab97033952938c2dff35c7c8697a4b6
--- /dev/null
+++ b/results/train/ellipse/problem_6243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd49178dd288ec8c09e6e193354a1c7d90f6decb455577fc2bfa073a46fb8d29
+size 214887
diff --git a/results/train/ellipse/problem_6245.png b/results/train/ellipse/problem_6245.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8c8440b3d4ca88ae196185ea28032a32da0a649
--- /dev/null
+++ b/results/train/ellipse/problem_6245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd76c3992212c500c1950fc4631f193b18bd3d698204b80d0af93f0da69b6fae
+size 208204
diff --git a/results/train/ellipse/problem_6246.png b/results/train/ellipse/problem_6246.png
new file mode 100644
index 0000000000000000000000000000000000000000..be524a6fae0f9bb5acba8af38f19c7884f8e6d75
--- /dev/null
+++ b/results/train/ellipse/problem_6246.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54a6ec69bb9a7649f25a6e9ce2f5a7f5de42c59f796a39868b83ae3bd97ca752
+size 205526
diff --git a/results/train/ellipse/problem_6254.png b/results/train/ellipse/problem_6254.png
new file mode 100644
index 0000000000000000000000000000000000000000..39047433ff714522f6f3d77fd448df47e766ed23
--- /dev/null
+++ b/results/train/ellipse/problem_6254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:638365105cf8e98945f0eff516731cbf5aba5187d8909405c3ac56fddfa3a455
+size 195602
diff --git a/results/train/ellipse/problem_6258.png b/results/train/ellipse/problem_6258.png
new file mode 100644
index 0000000000000000000000000000000000000000..32c7970efc2f20b5a843d89d134bf101d6b6ed30
--- /dev/null
+++ b/results/train/ellipse/problem_6258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f509def1e3f6ae623e98d44c77b410938725baa441655e092cf64da29eb2900
+size 193523
diff --git a/results/train/ellipse/problem_6261.png b/results/train/ellipse/problem_6261.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c6ae3f1cb33c9df2aed6b753836b69e6b6fb5be
--- /dev/null
+++ b/results/train/ellipse/problem_6261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9d13a9f090550072d16518811abe4952c5cab97bd390aec4b2a24316ce3cd73
+size 212656
diff --git a/results/train/ellipse/problem_6268.png b/results/train/ellipse/problem_6268.png
new file mode 100644
index 0000000000000000000000000000000000000000..f588f30a0cbc329c5f5de98448865446c77f33cf
--- /dev/null
+++ b/results/train/ellipse/problem_6268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ad6e3a7450469d2b86f14e4f05379cb42608da85e91317f8487669c794a2e8d
+size 217387
diff --git a/results/train/ellipse/problem_6273.png b/results/train/ellipse/problem_6273.png
new file mode 100644
index 0000000000000000000000000000000000000000..b08c18184bc67fa4f793838ae4d04d2045a1181c
--- /dev/null
+++ b/results/train/ellipse/problem_6273.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c429570f5a06ca82e74a4d32e2562cb9e9f493a0089a8f571eb04ec6562f7876
+size 223610
diff --git a/results/train/ellipse/problem_6282.png b/results/train/ellipse/problem_6282.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce0b184261a5f078f502b3d821053e92282ff909
--- /dev/null
+++ b/results/train/ellipse/problem_6282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbdda10156f06632271cc02dfd300ba47925ebec51460cd6ae6c53c34ad2ce9e
+size 228858
diff --git a/results/train/ellipse/problem_6307.png b/results/train/ellipse/problem_6307.png
new file mode 100644
index 0000000000000000000000000000000000000000..17f9aa369058188b047d496e4c7c9689f07d1eda
--- /dev/null
+++ b/results/train/ellipse/problem_6307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfed80446f2300d2b99fdfd79730492f81feaa3b4f1d001d3629d0660781eb9f
+size 219832
diff --git a/results/train/ellipse/problem_6316.png b/results/train/ellipse/problem_6316.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9258500946f053440052034c084756ddc27b1db
--- /dev/null
+++ b/results/train/ellipse/problem_6316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c8fcbda93f7d957a850c8d0cc2285b8190d2e282fbaa487e54066c0d25d9901
+size 223362
diff --git a/results/train/ellipse/problem_6318.png b/results/train/ellipse/problem_6318.png
new file mode 100644
index 0000000000000000000000000000000000000000..906b1d646357087a1de9a85228a3e4b6c4fee5b7
--- /dev/null
+++ b/results/train/ellipse/problem_6318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c9fdc1c0b5082298d54a1f65afb63618cb4dc5d234fa40f3fc30656c9c0cfb6
+size 233501
diff --git a/results/train/ellipse/problem_6332.png b/results/train/ellipse/problem_6332.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc37fe0bfa5b979c88661bb1748bbd0533e82239
--- /dev/null
+++ b/results/train/ellipse/problem_6332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:902f255e12a6971bf90bd57432239f5d00ca9eff923ed91b132494ff33bef32d
+size 235592
diff --git a/results/train/ellipse/problem_6337.png b/results/train/ellipse/problem_6337.png
new file mode 100644
index 0000000000000000000000000000000000000000..8de469214ae94177ed8843de637e820ff9a134d7
--- /dev/null
+++ b/results/train/ellipse/problem_6337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:139760b4d8221e68166641aa122b1f0e789af47b0a3fd2551fc52531d575ccae
+size 206708
diff --git a/results/train/ellipse/problem_6352.png b/results/train/ellipse/problem_6352.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0cef9e87a38a9926827db735a024a49e45f8361
--- /dev/null
+++ b/results/train/ellipse/problem_6352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38c67a6ca839eb020d2abb30831173b53034639ef2096e9e6d4b018e11ed6b72
+size 233436
diff --git a/results/train/ellipse/problem_6361.png b/results/train/ellipse/problem_6361.png
new file mode 100644
index 0000000000000000000000000000000000000000..81bf8bdbfb33704290af434b56698b48ad4a7cd8
--- /dev/null
+++ b/results/train/ellipse/problem_6361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15e63f9758ef8e983fb23066b3fe465939fef6b99ddc788f1e10504775588142
+size 222734
diff --git a/results/train/ellipse/problem_6362.png b/results/train/ellipse/problem_6362.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f8f65408bbc71b9caf800a1478932baabf300b8
--- /dev/null
+++ b/results/train/ellipse/problem_6362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4b90edcd63eb6e45dc8ec3d708081e4ca216641b4893c7bdad361bf927c6f27
+size 233095
diff --git a/results/train/ellipse/problem_6364.png b/results/train/ellipse/problem_6364.png
new file mode 100644
index 0000000000000000000000000000000000000000..9854fe19491c6693bdbd3b3ded858306331f546d
--- /dev/null
+++ b/results/train/ellipse/problem_6364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dc40188b48b84afedd2b2d9da44a0db4099f3c857db2828010bd95b4046fd01
+size 221490
diff --git a/results/train/ellipse/problem_6376.png b/results/train/ellipse/problem_6376.png
new file mode 100644
index 0000000000000000000000000000000000000000..09644840b0c267bd1fc561c2e1c9cdc4ec81e733
--- /dev/null
+++ b/results/train/ellipse/problem_6376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e1b003dc3eec79e08494aff821800e2e113304caffb8234f1143afe07b9b084
+size 222562
diff --git a/results/train/ellipse/problem_6388.png b/results/train/ellipse/problem_6388.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8874e58b75373ac1120bbbca71bc5ae5a39cfcf
--- /dev/null
+++ b/results/train/ellipse/problem_6388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ccbf847b58bb18d23a1b444395d73177424466210b596efebb4d7637eb90102
+size 236456
diff --git a/results/train/ellipse/problem_6393.png b/results/train/ellipse/problem_6393.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d3dd278d2816221f7cd52c4492803563ebaeb4b
--- /dev/null
+++ b/results/train/ellipse/problem_6393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:948cc1f2d40ca25b03559a7e9b2cc523e507a6dba9867c26abc8d3b4f60e6f79
+size 225108
diff --git a/results/train/ellipse/problem_6402.png b/results/train/ellipse/problem_6402.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b843e509710d1c16a1ad5cb5606e477c238cda4
--- /dev/null
+++ b/results/train/ellipse/problem_6402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10736852359be2061dcc92cc832ae33b9bc648d6720ab08fc1f2b39c7eb06e81
+size 194134
diff --git a/results/train/ellipse/problem_6408.png b/results/train/ellipse/problem_6408.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e9f3668526c63a3a690baafc3a096eeedb9f9b2
--- /dev/null
+++ b/results/train/ellipse/problem_6408.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5e7a695e70446e91d80c67ed5fc9110032b20d030469f0bbb603ac6c80d1fc5
+size 211566
diff --git a/results/train/ellipse/problem_6411.png b/results/train/ellipse/problem_6411.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3a1539c695b247b899ad26d72baad956d9b3d54
--- /dev/null
+++ b/results/train/ellipse/problem_6411.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c538ef1aa2a215f3666a91ce3bb5e264cf29de059bb776e941b7af633bc4278c
+size 223062
diff --git a/results/train/ellipse/problem_6412.png b/results/train/ellipse/problem_6412.png
new file mode 100644
index 0000000000000000000000000000000000000000..61feca4138265aefd3c250710280334919774bcb
--- /dev/null
+++ b/results/train/ellipse/problem_6412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3122410e60f38aab2154a950832837aa913273ea50148e85ae23f547b8bd2e0
+size 242593
diff --git a/results/train/ellipse/problem_6413.png b/results/train/ellipse/problem_6413.png
new file mode 100644
index 0000000000000000000000000000000000000000..f37ee3f23a1595b03b0b425a2925da8bbe95c9ad
--- /dev/null
+++ b/results/train/ellipse/problem_6413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1c8e550a133559ea5e4ff22e9c4e054e5afa6b1d797bd7462e52bdf6e7fc012
+size 223956
diff --git a/results/train/ellipse/problem_6415.png b/results/train/ellipse/problem_6415.png
new file mode 100644
index 0000000000000000000000000000000000000000..697213f802f8557845f51ae50777827f3b2cee6e
--- /dev/null
+++ b/results/train/ellipse/problem_6415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:878468b9acd9c6fe78bb7cfc3baaf43c5268b589b777c836b9393774db9d05d7
+size 216991
diff --git a/results/train/ellipse/problem_6421.png b/results/train/ellipse/problem_6421.png
new file mode 100644
index 0000000000000000000000000000000000000000..faebbf268bffa7591c93040267ad319c74452772
--- /dev/null
+++ b/results/train/ellipse/problem_6421.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09a2cca38804d98d1ca80548ed0b71fd5874e2c63e3c8c001ec8e7f141c117d9
+size 214775
diff --git a/results/train/ellipse/problem_6426.png b/results/train/ellipse/problem_6426.png
new file mode 100644
index 0000000000000000000000000000000000000000..3eb4f94e25a4d74529d6df7b0e74cdf5f43ec5b8
--- /dev/null
+++ b/results/train/ellipse/problem_6426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b85c0a4af3e16ddc7f1c2a6b7e66e27e3ab599086bda770f03905d3182913e7e
+size 233470
diff --git a/results/train/ellipse/problem_6427.png b/results/train/ellipse/problem_6427.png
new file mode 100644
index 0000000000000000000000000000000000000000..83caf71624a1c84d2525544bb2abe4d162e62f41
--- /dev/null
+++ b/results/train/ellipse/problem_6427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eef145d6f2b29a41898879a7538b0d5b07e9de64b01fdfee52f8a9fe09ffd23d
+size 210546
diff --git a/results/train/ellipse/problem_6431.png b/results/train/ellipse/problem_6431.png
new file mode 100644
index 0000000000000000000000000000000000000000..1efdd777b4039d63ec9f0684e821ba932a3547ab
--- /dev/null
+++ b/results/train/ellipse/problem_6431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:848200db001cf99026db543fe38c668f8bbbb268109176b17172c054b47ac1fe
+size 219749
diff --git a/results/train/ellipse/problem_6434.png b/results/train/ellipse/problem_6434.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc1cbd861c9c78435fb3f0a96d5da401477e0e8f
--- /dev/null
+++ b/results/train/ellipse/problem_6434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41b46be9a9a06d59059d1aafa4ce35065fdaf6f57faec07545606d5db23ebcf4
+size 222914
diff --git a/results/train/ellipse/problem_6438.png b/results/train/ellipse/problem_6438.png
new file mode 100644
index 0000000000000000000000000000000000000000..04ce431ac0f429a3e4cbb9c687ebb76427d2c18d
--- /dev/null
+++ b/results/train/ellipse/problem_6438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f10961d6bef49bfc47e352a0246f1a985580fc2d4cb0c2c8348850ef36764927
+size 209531
diff --git a/results/train/ellipse/problem_6441.png b/results/train/ellipse/problem_6441.png
new file mode 100644
index 0000000000000000000000000000000000000000..98ea470ef21d4cbc96f4a94e82830bd1f48156a4
--- /dev/null
+++ b/results/train/ellipse/problem_6441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a1c6c5e2de8aad2583fe3fb776a68ce122a44d8a054541b325e65cd5dd98b95
+size 220477
diff --git a/results/train/ellipse/problem_6442.png b/results/train/ellipse/problem_6442.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6284e2d41c2ff4c858867a49a50e78c509423d9
--- /dev/null
+++ b/results/train/ellipse/problem_6442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a8b4cc92e62254601bd771b68c29f75e0fa645d7b2b8f6fb514eecb878a7f4f
+size 225521
diff --git a/results/train/ellipse/problem_6447.png b/results/train/ellipse/problem_6447.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b3321460d1bd8e6c67b6f54025491ef56d6ce1b
--- /dev/null
+++ b/results/train/ellipse/problem_6447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8e67fb189990e4661b736dfe6a8960a3b4372ae0e8cb6556038d080869561fe
+size 224247
diff --git a/results/train/ellipse/problem_6452.png b/results/train/ellipse/problem_6452.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e75e9f04aa7e49a9e00772c0624b4d7bac0fca1
--- /dev/null
+++ b/results/train/ellipse/problem_6452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4aead66796932fa42478870b9d6831dd4f9bd910e7344f399b1ba29e50cd4ceb
+size 213752
diff --git a/results/train/ellipse/problem_6468.png b/results/train/ellipse/problem_6468.png
new file mode 100644
index 0000000000000000000000000000000000000000..a614c99df898e68fa6ce3e110dcd823f062c651b
--- /dev/null
+++ b/results/train/ellipse/problem_6468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f60caecfc0fd366e78845a1ad8f08b7ccf560855625121ea70cac44667d60a3
+size 193723
diff --git a/results/train/ellipse/problem_6475.png b/results/train/ellipse/problem_6475.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dcfdaf7497622073c6daf5acdfb4e74c0700250
--- /dev/null
+++ b/results/train/ellipse/problem_6475.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2aae1bc696a9bb07c423195dce252826ac35d03377c846d0699acb425f7e5808
+size 240210
diff --git a/results/train/ellipse/problem_6477.png b/results/train/ellipse/problem_6477.png
new file mode 100644
index 0000000000000000000000000000000000000000..7687b56e0784e28f1c4420348596ef259d1939f8
--- /dev/null
+++ b/results/train/ellipse/problem_6477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52736f0a1ecc71761155339c47dc18e6ec70ca358c66acfb34d227757a187120
+size 235721
diff --git a/results/train/ellipse/problem_6480.png b/results/train/ellipse/problem_6480.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ba4df22fcfcd5626f6122964860d26c31fbda73
--- /dev/null
+++ b/results/train/ellipse/problem_6480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e4847617fe38e99cbd880dd0b81a9d3ad0ed4741bb600cf264442f09c4b26e6
+size 230221
diff --git a/results/train/ellipse/problem_6490.png b/results/train/ellipse/problem_6490.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1d164d6a40ef0408e459d05bff1401e5281756b
--- /dev/null
+++ b/results/train/ellipse/problem_6490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:432e54223e2a1989570e94bff22f2ea0a4cb8f407daf7fb987f7ee8050a10d5f
+size 224647
diff --git a/results/train/ellipse/problem_6495.png b/results/train/ellipse/problem_6495.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d57e4617437486c1c0e8b5dafe7eaf403fcb9da
--- /dev/null
+++ b/results/train/ellipse/problem_6495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3e60ca3d0d814108830a9e1f14f4fc61985934c8237c1ce13c3e203ea705506
+size 219648
diff --git a/results/train/ellipse/problem_6504.png b/results/train/ellipse/problem_6504.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2efc737c1d4427d280ddb32222c7f9bba433999
--- /dev/null
+++ b/results/train/ellipse/problem_6504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4538638b268e3434adc239df98eeebbe072c1b2aef53fe0f4105e015f51fb16c
+size 212033
diff --git a/results/train/ellipse/problem_6509.png b/results/train/ellipse/problem_6509.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb9eb06445d218c933916fcc5ceb424515473ced
--- /dev/null
+++ b/results/train/ellipse/problem_6509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6040f00f384d9fb123c4557bfab998a02f16fdc23f2ad36d2e92f93ab56c5908
+size 205912
diff --git a/results/train/ellipse/problem_6511.png b/results/train/ellipse/problem_6511.png
new file mode 100644
index 0000000000000000000000000000000000000000..059e0e8f274410a8850f9c3f3e47b00488f57b2e
--- /dev/null
+++ b/results/train/ellipse/problem_6511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:378a118e8145309fbd34da548818dc26c24b5b59f492ba205555a7fb6e3e1c51
+size 279633
diff --git a/results/train/ellipse/problem_6512.png b/results/train/ellipse/problem_6512.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5096f02a31f4ddbd0dea2178dec1fc22f04aa4e
--- /dev/null
+++ b/results/train/ellipse/problem_6512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b87c97d5b950cb725b12da70b0f7d213677f519dc0e7978bb1434f56edc613e2
+size 210040
diff --git a/results/train/ellipse/problem_6513.png b/results/train/ellipse/problem_6513.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9046d34b9cc0af68fed5cca6d92928fff92fa14
--- /dev/null
+++ b/results/train/ellipse/problem_6513.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d445b4679b94b5a0c4e7b2af2640fcae3933eab878653a50aefade685740ac50
+size 219137
diff --git a/results/train/ellipse/problem_6514.png b/results/train/ellipse/problem_6514.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf2bc25eb1773a47459e97b472208a09170611e1
--- /dev/null
+++ b/results/train/ellipse/problem_6514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:595ce4177314e4a282e3b8e41592bf2329daa56bb49ab1b2ada460f39df24c7b
+size 235722
diff --git a/results/train/ellipse/problem_6516.png b/results/train/ellipse/problem_6516.png
new file mode 100644
index 0000000000000000000000000000000000000000..1928af53f35ae75ed0f6b4ff67bba6e925d2ceaa
--- /dev/null
+++ b/results/train/ellipse/problem_6516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:345400e59c8d649a8ce56febb152d55a68dde951a8922d8d896d47cb507e5f2f
+size 219789
diff --git a/results/train/ellipse/problem_6527.png b/results/train/ellipse/problem_6527.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5ce80de3601aad3061fc625d23c2b0cfe04093c
--- /dev/null
+++ b/results/train/ellipse/problem_6527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:425e2645bbc7d876b9ed439d25f2f5378f1fc01c40e3e37bf80175f00f90b6be
+size 222690
diff --git a/results/train/ellipse/problem_6532.png b/results/train/ellipse/problem_6532.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b6652970c34523c9a9e6b5168a29cd7d9065ad1
--- /dev/null
+++ b/results/train/ellipse/problem_6532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6cf534a66cfa3556bdf3a165772b8fc2eca1d39283678411c4135271075f6a3
+size 216543
diff --git a/results/train/ellipse/problem_6535.png b/results/train/ellipse/problem_6535.png
new file mode 100644
index 0000000000000000000000000000000000000000..d09761f480ce3d745d7ea38c5a17de7f9bc9764a
--- /dev/null
+++ b/results/train/ellipse/problem_6535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d84ea6ee3faa1948d3a00918ab9f41f094ab98eec1181f78f842f372e80fe0
+size 234806
diff --git a/results/train/ellipse/problem_6538.png b/results/train/ellipse/problem_6538.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c871417dc4b94576559b4fc366571df4e908284
--- /dev/null
+++ b/results/train/ellipse/problem_6538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad5d5ca9fc66485cdabfbd24bfdf1d7e2c79b195e52d94ac2d1453e43e7c65be
+size 226596
diff --git a/results/train/ellipse/problem_6544.png b/results/train/ellipse/problem_6544.png
new file mode 100644
index 0000000000000000000000000000000000000000..475edde61b39b2bab839afca5b03935984e1ab95
--- /dev/null
+++ b/results/train/ellipse/problem_6544.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab65a423ce8b5a6ddb64b1f3cbcfeb33bbba3b96a0af526da9c1dcdc752e5a27
+size 220957
diff --git a/results/train/ellipse/problem_6548.png b/results/train/ellipse/problem_6548.png
new file mode 100644
index 0000000000000000000000000000000000000000..09540c1063325e29e81e2c0ad246ea64d7ea192f
--- /dev/null
+++ b/results/train/ellipse/problem_6548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:670e519afd18c52d2342dbb9bf4ac335d61179ec5ae45c99d6e70490ac9899b7
+size 202935
diff --git a/results/train/ellipse/problem_6550.png b/results/train/ellipse/problem_6550.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b9d0a607aae69a00aa6cc0f58e6bc3226e6c787
--- /dev/null
+++ b/results/train/ellipse/problem_6550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3e6c97255ff388579ee2a0504d6aaeca152986cf76b864b594f97ec9ee425c6
+size 228804
diff --git a/results/train/ellipse/problem_6551.png b/results/train/ellipse/problem_6551.png
new file mode 100644
index 0000000000000000000000000000000000000000..93079c56eb0986eaf47111bc58fb4fce2c170226
--- /dev/null
+++ b/results/train/ellipse/problem_6551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:568a5038ac7f4f803008b885c94cfad66e0bddc4e2555436c4994be4b3dce5a1
+size 213059
diff --git a/results/train/ellipse/problem_6555.png b/results/train/ellipse/problem_6555.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfad0b455332ef356b157fcc0241651cc2df5f4d
--- /dev/null
+++ b/results/train/ellipse/problem_6555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf3ef6dc01841c366f8bb66d47f02a71abab2d5ca7aa92af64876b86a534422f
+size 214937
diff --git a/results/train/ellipse/problem_6556.png b/results/train/ellipse/problem_6556.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcb236f51cde61a535fb5fe5985e4b705147abf2
--- /dev/null
+++ b/results/train/ellipse/problem_6556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b73a98a4c634b14abcba5159b6e2962808b592fd8c236717bd72119ea099e0d6
+size 190507
diff --git a/results/train/ellipse/problem_6557.png b/results/train/ellipse/problem_6557.png
new file mode 100644
index 0000000000000000000000000000000000000000..903e42ff9372ed1264541061ac4318f030b097e7
--- /dev/null
+++ b/results/train/ellipse/problem_6557.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8501eeaf5f7f44d1dac9d43546317fdadafa872e0629d07bdb438165dc673838
+size 217719
diff --git a/results/train/ellipse/problem_6560.png b/results/train/ellipse/problem_6560.png
new file mode 100644
index 0000000000000000000000000000000000000000..8bf250632f89de93dcde0c7a74378361fbe006bf
--- /dev/null
+++ b/results/train/ellipse/problem_6560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3998e8cb49e4a2c13f141972e8c81f1e844f0f0e3d76396b780c630895ab1ec8
+size 216538
diff --git a/results/train/ellipse/problem_6562.png b/results/train/ellipse/problem_6562.png
new file mode 100644
index 0000000000000000000000000000000000000000..64aa742b26d63946397bc4022e95a6b65604e76f
--- /dev/null
+++ b/results/train/ellipse/problem_6562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02b4ac81ddfe71c9900dbcf15d9a1f010bc84e4821537d47adfb18aa89861d56
+size 220217
diff --git a/results/train/ellipse/problem_6563.png b/results/train/ellipse/problem_6563.png
new file mode 100644
index 0000000000000000000000000000000000000000..738dfb04c23b7aa5c90dbfae7432ca717873f441
--- /dev/null
+++ b/results/train/ellipse/problem_6563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4661478bc1c594999fc9b8a067032e15e1807059cd9fba355d2580a49989dc15
+size 218208
diff --git a/results/train/ellipse/problem_6569.png b/results/train/ellipse/problem_6569.png
new file mode 100644
index 0000000000000000000000000000000000000000..93fb6bfea7d27796fa06be300c52683d87589cc7
--- /dev/null
+++ b/results/train/ellipse/problem_6569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c3a4438f3ed13f3c497ccc2076638fe760f3c4e16f7047deb22cb1abf378c26
+size 213677
diff --git a/results/train/ellipse/problem_6570.png b/results/train/ellipse/problem_6570.png
new file mode 100644
index 0000000000000000000000000000000000000000..67756809e4275ab65e6066dee7693307ca314c2e
--- /dev/null
+++ b/results/train/ellipse/problem_6570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71b04820b02678e6fb52a117c47a661e475153a5086a2e9ae39f3749ad84f90f
+size 210619
diff --git a/results/train/ellipse/problem_6572.png b/results/train/ellipse/problem_6572.png
new file mode 100644
index 0000000000000000000000000000000000000000..897c407d54a597119a1dc48b3a1f1e644617c16c
--- /dev/null
+++ b/results/train/ellipse/problem_6572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55b16e1d6bf387768b88de0a2bce484ae304d959d8d832442d45634528b9bb48
+size 189897
diff --git a/results/train/ellipse/problem_6581.png b/results/train/ellipse/problem_6581.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b1f23fb9f8066425dccf38b058126aaf2ee9235
--- /dev/null
+++ b/results/train/ellipse/problem_6581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de5f64b07e5363de1e776d3d28c3b132852ca6e8d3bfebde695edfd02102f2e7
+size 216963
diff --git a/results/train/ellipse/problem_6584.png b/results/train/ellipse/problem_6584.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d63cc62217c49c28effdf19d9a66bdbd3c23538
--- /dev/null
+++ b/results/train/ellipse/problem_6584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b9e77f1954ab7bf3e4b25b27d19c305da0fe04268b3797da2165d0ef9cb1dc4
+size 195302
diff --git a/results/train/ellipse/problem_6587.png b/results/train/ellipse/problem_6587.png
new file mode 100644
index 0000000000000000000000000000000000000000..e985f0bacd2cda9b7cdba82d79c19e34590d2159
--- /dev/null
+++ b/results/train/ellipse/problem_6587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50e29775fccb488c45946cc748ae8749d5cc856068cdef97953001e36bf98c73
+size 199048
diff --git a/results/train/ellipse/problem_6590.png b/results/train/ellipse/problem_6590.png
new file mode 100644
index 0000000000000000000000000000000000000000..d40ad5f8604bf632aaf2d9082a03493e76336bad
--- /dev/null
+++ b/results/train/ellipse/problem_6590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e913cb3bfaad20fb410a527f194f5ed19be3abeee6756a198348e9cc68d70cb4
+size 236571
diff --git a/results/train/ellipse/problem_6592.png b/results/train/ellipse/problem_6592.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1d2388064577a8fccbea5a8c076b5b149e9b9ae
--- /dev/null
+++ b/results/train/ellipse/problem_6592.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a7b2daa9b649b4c83a34683c31a11fee8435c1852772efda1c77c544ba2d929
+size 229159
diff --git a/results/train/ellipse/problem_6593.png b/results/train/ellipse/problem_6593.png
new file mode 100644
index 0000000000000000000000000000000000000000..10eda2382c25d3b507fa2cd5c817b8e140f05700
--- /dev/null
+++ b/results/train/ellipse/problem_6593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0890c9a89261a66580da7dc10359c0baa2f4dc15a4c1a1ac7fc4397de4740452
+size 196824
diff --git a/results/train/ellipse/problem_6633.png b/results/train/ellipse/problem_6633.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfcac9173c131fcec3526fc627600e57eb2c228e
--- /dev/null
+++ b/results/train/ellipse/problem_6633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:014f2871d8cf05e21c7cea1acc00f9d9903cbfaa6d28e55e903e67093ba388d1
+size 222750
diff --git a/results/train/ellipse/problem_6643.png b/results/train/ellipse/problem_6643.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c8e6a52ec9b64db57886e9ae50e41575ef58c8b
--- /dev/null
+++ b/results/train/ellipse/problem_6643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95e638f0c30c9073e6b77ba12df4f2998383d4df72d2b9ae03f8ef98c115ad84
+size 234369
diff --git a/results/train/ellipse/problem_6648.png b/results/train/ellipse/problem_6648.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec099603301deef983e30bd739b48de66afb7547
--- /dev/null
+++ b/results/train/ellipse/problem_6648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:662883cfcb7461d11d55aacc57e5cf3b5815647556463b1735b2dcac16d1d7e0
+size 200919
diff --git a/results/train/ellipse/problem_6650.png b/results/train/ellipse/problem_6650.png
new file mode 100644
index 0000000000000000000000000000000000000000..cde1d36231964abd0dd297d4fbab73889090f366
--- /dev/null
+++ b/results/train/ellipse/problem_6650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7e1769d15208abc1a2d840d6c31581c06b1bcd53d403c2630d3412c8a427962
+size 213399
diff --git a/results/train/ellipse/problem_6653.png b/results/train/ellipse/problem_6653.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f4f1a4ffc3b954c5a6e169c551721065e5cb984
--- /dev/null
+++ b/results/train/ellipse/problem_6653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a01e8aaf64c13c741dd86ff9c94628daca929deaba229f25999ffb9f0402be8
+size 191479
diff --git a/results/train/ellipse/problem_6658.png b/results/train/ellipse/problem_6658.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9401cc41b997732608fef24922c31a5764ae472
--- /dev/null
+++ b/results/train/ellipse/problem_6658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bad499bdd2ff471f3a0d3a45c7c688d649f8bbaa6ab037ab13e78ed6a2eea7f
+size 232871
diff --git a/results/train/ellipse/problem_6662.png b/results/train/ellipse/problem_6662.png
new file mode 100644
index 0000000000000000000000000000000000000000..f46710649347107498beb3216c8ce68f219905a5
--- /dev/null
+++ b/results/train/ellipse/problem_6662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7d85d8311713aa3cf91d1800e61e4284d5fd5717b669a2417cd9116865568ea
+size 223100
diff --git a/results/train/ellipse/problem_6668.png b/results/train/ellipse/problem_6668.png
new file mode 100644
index 0000000000000000000000000000000000000000..55d2d639a953eca35d1a617ae2e706e2342bbeb3
--- /dev/null
+++ b/results/train/ellipse/problem_6668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:164eeb110e9dc89f7bf864c84c5a22cb07653674675d448be90c3ddd43fe017e
+size 218886
diff --git a/results/train/ellipse/problem_6674.png b/results/train/ellipse/problem_6674.png
new file mode 100644
index 0000000000000000000000000000000000000000..9279e09b2da1934b7ac0476ffa39438f65edde82
--- /dev/null
+++ b/results/train/ellipse/problem_6674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0f22e470ffd1323532074ab349221e820dd0fc4367269eaaf48375bed7b1cdf
+size 225189
diff --git a/results/train/ellipse/problem_6678.png b/results/train/ellipse/problem_6678.png
new file mode 100644
index 0000000000000000000000000000000000000000..63d321af7f89f2b4ba9d7cde44ab13166ff52018
--- /dev/null
+++ b/results/train/ellipse/problem_6678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19fe0710a9166bbf86f761042ebf8dabcb3e8fd597decdb3d14513b449bb2788
+size 201289
diff --git a/results/train/ellipse/problem_6682.png b/results/train/ellipse/problem_6682.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cf9aa00901c20900f80217509e84482acd1707e
--- /dev/null
+++ b/results/train/ellipse/problem_6682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50fd2b150c0dd39c56626e145318521c605e57052764f1388e01a0b8ef743a1e
+size 224391
diff --git a/results/train/ellipse/problem_6683.png b/results/train/ellipse/problem_6683.png
new file mode 100644
index 0000000000000000000000000000000000000000..640b4c589f7c83ee9ae6259e94889f4e762b75dd
--- /dev/null
+++ b/results/train/ellipse/problem_6683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb00dcb4b04cf3146369c1ac1f81f157681c37d5dec5d69225b0f6780bf53159
+size 226294
diff --git a/results/train/ellipse/problem_6689.png b/results/train/ellipse/problem_6689.png
new file mode 100644
index 0000000000000000000000000000000000000000..11ca65438c512573561de1eb81dadeb6643c1b59
--- /dev/null
+++ b/results/train/ellipse/problem_6689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:361c7cf96617fbb16cbe2c1dd213ea37890783a2ac552460f7c3620e64269d46
+size 217565
diff --git a/results/train/ellipse/problem_6692.png b/results/train/ellipse/problem_6692.png
new file mode 100644
index 0000000000000000000000000000000000000000..66534cecd77fa1d6d0713e7f4e5393edc360c4cb
--- /dev/null
+++ b/results/train/ellipse/problem_6692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc90a1a264023b01dea28bd5759a9f57b0c7ea3f29ff45f59ac437ddfca0ddd1
+size 228737
diff --git a/results/train/ellipse/problem_6694.png b/results/train/ellipse/problem_6694.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f408c5223db4f0b9850489f82fbb73a12c71206
--- /dev/null
+++ b/results/train/ellipse/problem_6694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91b48c1b90bcca4e386f4be6a697a0938dc97d50e5411b3dbf47231ad6ad8723
+size 227372
diff --git a/results/train/ellipse/problem_6698.png b/results/train/ellipse/problem_6698.png
new file mode 100644
index 0000000000000000000000000000000000000000..45df51a4fb1a264cd76c78a94680745549e5dc89
--- /dev/null
+++ b/results/train/ellipse/problem_6698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cd5e2791c0f796499f2d7d7babe7f03cf58876644e3f6b252da18363fbb1352
+size 191007
diff --git a/results/train/ellipse/problem_6701.png b/results/train/ellipse/problem_6701.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee1e5a1ee480037156833b6f0dbccacfcea22743
--- /dev/null
+++ b/results/train/ellipse/problem_6701.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c3b2df1ee517c99af005f32cf20a405637be23880bf0363be94324961fa589f
+size 223048
diff --git a/results/train/ellipse/problem_6707.png b/results/train/ellipse/problem_6707.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7fe1ce4433a928aec4972cc65ee4a5b5aed30f6
--- /dev/null
+++ b/results/train/ellipse/problem_6707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e0cc9b9dcbdce87e5c0f460c87305f1203b580c18f538aaf6038e9371181793
+size 227545
diff --git a/results/train/ellipse/problem_6708.png b/results/train/ellipse/problem_6708.png
new file mode 100644
index 0000000000000000000000000000000000000000..29d6bd7fc6601faf7870b0ac5086db5d74bbe4e7
--- /dev/null
+++ b/results/train/ellipse/problem_6708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd350521780b8190578bee98b8d97fb939823c77059159afebe0f5d61ab62a38
+size 235649
diff --git a/results/train/ellipse/problem_6715.png b/results/train/ellipse/problem_6715.png
new file mode 100644
index 0000000000000000000000000000000000000000..59decdf35c4fe5d4c253972b362ce4888d18715b
--- /dev/null
+++ b/results/train/ellipse/problem_6715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e09fed37da03559e64a5ead3974569bd4e064760527249c200ddc98e1aa8d900
+size 227828
diff --git a/results/train/ellipse/problem_6719.png b/results/train/ellipse/problem_6719.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a011004a7fe39bb2db5bd6a5be1614de9b32ed9
--- /dev/null
+++ b/results/train/ellipse/problem_6719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37932ae483e6281de62d49a366705a366258985bb9ea00c327359a0a5221e9d1
+size 225571
diff --git a/results/train/ellipse/problem_6722.png b/results/train/ellipse/problem_6722.png
new file mode 100644
index 0000000000000000000000000000000000000000..f82f4346360353fa33f9daca6e06e57e41f07b5a
--- /dev/null
+++ b/results/train/ellipse/problem_6722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:105b4f4d011fc0e532ac5562e74ef73b1f400c0a2a80669dc87129a36ccf023d
+size 234131
diff --git a/results/train/ellipse/problem_6724.png b/results/train/ellipse/problem_6724.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2711840c9a9a38325b8ce5ffd32007149f4e08f
--- /dev/null
+++ b/results/train/ellipse/problem_6724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a64c1bce7457d0b2dc5c1cb0c6b5d6bd4c10a37b28c095cde0f87f4c49042bf5
+size 218357
diff --git a/results/train/ellipse/problem_6725.png b/results/train/ellipse/problem_6725.png
new file mode 100644
index 0000000000000000000000000000000000000000..b41a5724b2a86490b6f14ba739acfc9d39e09093
--- /dev/null
+++ b/results/train/ellipse/problem_6725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d98ff809a8a2aad92f5b396ab80f7f4805f903ee245463c8e1543eee0354628
+size 217512
diff --git a/results/train/ellipse/problem_6728.png b/results/train/ellipse/problem_6728.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b2b8b210fcf1a6f0938cd4764b9c5b2065bf4e6
--- /dev/null
+++ b/results/train/ellipse/problem_6728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d199f034f049f59e0f7dbe50f14868527a57ef1f8be5b9e1d6e6b1235cf5ee36
+size 219468
diff --git a/results/train/ellipse/problem_6730.png b/results/train/ellipse/problem_6730.png
new file mode 100644
index 0000000000000000000000000000000000000000..29d8992e1d674fef90742ea090e5bc59aad314aa
--- /dev/null
+++ b/results/train/ellipse/problem_6730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:979617231045a615a0618dabeed75b3771e7c09bc06c7c6fe74a0dd565c2f469
+size 233905
diff --git a/results/train/ellipse/problem_6731.png b/results/train/ellipse/problem_6731.png
new file mode 100644
index 0000000000000000000000000000000000000000..a67acd480cf39a85bfe9f8ed853d1b1c3b86deb0
--- /dev/null
+++ b/results/train/ellipse/problem_6731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:536801e50c1ce4c045fede550f02e33dd902c8d24b6fcb1a5d0c23730fd11db5
+size 219836
diff --git a/results/train/ellipse/problem_6733.png b/results/train/ellipse/problem_6733.png
new file mode 100644
index 0000000000000000000000000000000000000000..4697e721fde31f28e87ecccd19a99046f9a4951f
--- /dev/null
+++ b/results/train/ellipse/problem_6733.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c85c65e3ea54721170cbba7492a8633c8b24d120f07ceb2b76b5d59bf77acbfa
+size 239066
diff --git a/results/train/ellipse/problem_6736.png b/results/train/ellipse/problem_6736.png
new file mode 100644
index 0000000000000000000000000000000000000000..43235bae36dde8597e3d187f6523843a45c3affa
--- /dev/null
+++ b/results/train/ellipse/problem_6736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf03be7b2365e8336ab03ffd4fe1b7515a53f4c3a9d5794f843eded7851be067
+size 183816
diff --git a/results/train/ellipse/problem_6737.png b/results/train/ellipse/problem_6737.png
new file mode 100644
index 0000000000000000000000000000000000000000..90c6be2ca9927f33e0279240ab61863d66f0c5e6
--- /dev/null
+++ b/results/train/ellipse/problem_6737.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6de506ffd748a77123182d207bdc4c762bbe81ad8f0bc20f694fb93f3878ff4
+size 188763
diff --git a/results/train/ellipse/problem_6738.png b/results/train/ellipse/problem_6738.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ef529447a3e3e679f61a90234e9e4438f04878a
--- /dev/null
+++ b/results/train/ellipse/problem_6738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5debca23977bf7bfba02bacf728ad19d55b0b493cc76c794a5e43dd8d25cc09a
+size 230404
diff --git a/results/train/ellipse/problem_6739.png b/results/train/ellipse/problem_6739.png
new file mode 100644
index 0000000000000000000000000000000000000000..355b48ed1d658345f95fe1dab42ed7f2b4c0e2ee
--- /dev/null
+++ b/results/train/ellipse/problem_6739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81d05c5404d6e11f1819ad353c60395996e830bbb82accffa46f888c7e113e7e
+size 223507
diff --git a/results/train/ellipse/problem_6740.png b/results/train/ellipse/problem_6740.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f7351f5f7b6340ba36ec059722212d2e669518d
--- /dev/null
+++ b/results/train/ellipse/problem_6740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7932478a66a677d3cb391bfabe074813bdec662f49ff3819b0d34998fbb7256b
+size 234879
diff --git a/results/train/ellipse/problem_6745.png b/results/train/ellipse/problem_6745.png
new file mode 100644
index 0000000000000000000000000000000000000000..468c1a51fd611fa32c9aed6421c14796756078e0
--- /dev/null
+++ b/results/train/ellipse/problem_6745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24449d70770d13826890d0cd9270074128947a129ad7001af4efa104e305475e
+size 219780
diff --git a/results/train/ellipse/problem_6747.png b/results/train/ellipse/problem_6747.png
new file mode 100644
index 0000000000000000000000000000000000000000..c32ed8ee99ea7c511b2bbeda5b75dfb3969ea764
--- /dev/null
+++ b/results/train/ellipse/problem_6747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:20be7d3e66c530681786fe5e1de999bea9a4eb1172c8256dd0a42e4b8b68e46e
+size 223254
diff --git a/results/train/ellipse/problem_6750.png b/results/train/ellipse/problem_6750.png
new file mode 100644
index 0000000000000000000000000000000000000000..f73104995ee324a9055e4b0002de0ffb57737cee
--- /dev/null
+++ b/results/train/ellipse/problem_6750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96d9d86f39a6579d40e1bf6fd499eaf20b5e7006dfeb1b6b0ced36059d848c15
+size 205529
diff --git a/results/train/ellipse/problem_6752.png b/results/train/ellipse/problem_6752.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1d89f0d278aece0a6a154713680c9d200e6e25f
--- /dev/null
+++ b/results/train/ellipse/problem_6752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7534eac5026ecfc9150330a2ad7084fafc719dfbf23779c83d497cdd442e674
+size 224075
diff --git a/results/train/ellipse/problem_6755.png b/results/train/ellipse/problem_6755.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2a544da488b4bf289a761248829dfaed4c23320
--- /dev/null
+++ b/results/train/ellipse/problem_6755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ece71678ffa9ec818c5f16f6ed317a9e42ff7f936c5dcca939d92837cf8e7cc
+size 192258
diff --git a/results/train/ellipse/problem_6758.png b/results/train/ellipse/problem_6758.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d15206d67bd42ef420417e160ecf97da37d5dc3
--- /dev/null
+++ b/results/train/ellipse/problem_6758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8304241159d2b995ba8cbe8c1fb64b14b8f01b9e0765f995305fbf63877b747
+size 233759
diff --git a/results/train/ellipse/problem_6759.png b/results/train/ellipse/problem_6759.png
new file mode 100644
index 0000000000000000000000000000000000000000..909cafef1d6eda7f1d4a16b4ff5111416badf06c
--- /dev/null
+++ b/results/train/ellipse/problem_6759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff17a7f29f231c4fade50eaebf3c3f9297daa114ab1578dac814338d8bfdfc39
+size 210745
diff --git a/results/train/ellipse/problem_6779.png b/results/train/ellipse/problem_6779.png
new file mode 100644
index 0000000000000000000000000000000000000000..e43ae85c25de05e4e0c432e010559200832650bc
--- /dev/null
+++ b/results/train/ellipse/problem_6779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd6753d1f2ac001140b45fc316a99f015096e02cf4327aa2269a448a05fa528a
+size 211726
diff --git a/results/train/ellipse/problem_6786.png b/results/train/ellipse/problem_6786.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9219f31e48d9f22b0b3d4a3331bc95beb624810
--- /dev/null
+++ b/results/train/ellipse/problem_6786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e198dd4e8c48695bb6b5fc7b12a4e6c76672da31cc98dc472d4552803f0f22b
+size 215201
diff --git a/results/train/ellipse/problem_6787.png b/results/train/ellipse/problem_6787.png
new file mode 100644
index 0000000000000000000000000000000000000000..973132f260855a1886bb8466d37ac02a9a037d20
--- /dev/null
+++ b/results/train/ellipse/problem_6787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5efb2c644e7e1ac5a9324966d394a7a0c3c1e0979a3350cd2203a42093f4d0f
+size 208549
diff --git a/results/train/ellipse/problem_6790.png b/results/train/ellipse/problem_6790.png
new file mode 100644
index 0000000000000000000000000000000000000000..e45062736ed685b077d257315f50e61872321c18
--- /dev/null
+++ b/results/train/ellipse/problem_6790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66ec09d6b49dd2b359ab68e181de4845eaf4eb18c372cf648c445dfed0e19810
+size 219272
diff --git a/results/train/ellipse/problem_6792.png b/results/train/ellipse/problem_6792.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7f93d45a805d5dbaacde35c04eacb5df55becb5
--- /dev/null
+++ b/results/train/ellipse/problem_6792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e462a14fd34bfe5bbd7e7134b42022b96d5091fd1d7b67fe6aa9c728ecf0bae1
+size 227417
diff --git a/results/train/ellipse/problem_6800.png b/results/train/ellipse/problem_6800.png
new file mode 100644
index 0000000000000000000000000000000000000000..a42d4cf1c8db35cf64c5efdf59fd7fe621f0cd1f
--- /dev/null
+++ b/results/train/ellipse/problem_6800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2effaf087e3a8e488055bd6410cbd71442f8ea5cf3e5c3fabb499a0c4026e3ca
+size 230193
diff --git a/results/train/ellipse/problem_6802.png b/results/train/ellipse/problem_6802.png
new file mode 100644
index 0000000000000000000000000000000000000000..53852c5a654853e51047ae12f705deaa17231bf6
--- /dev/null
+++ b/results/train/ellipse/problem_6802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c9a6c3e77cbb46e5bb87270124a31d90a4f0d06018eb22e4c7b1339b67029c2
+size 229915
diff --git a/results/train/ellipse/problem_6804.png b/results/train/ellipse/problem_6804.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce9d75577617aa7cef9c557f7b4a63d46698ddee
--- /dev/null
+++ b/results/train/ellipse/problem_6804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8cc1dfa500b637c24050ad2cb4e9ed887727045b5d580135a52961822dd15598
+size 216883
diff --git a/results/train/ellipse/problem_6807.png b/results/train/ellipse/problem_6807.png
new file mode 100644
index 0000000000000000000000000000000000000000..9430a6c9bdd0339cebb0f67253b40256b2f17c5c
--- /dev/null
+++ b/results/train/ellipse/problem_6807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9cd292d82ec41abf6a8e8cb79750646cf83805b51ca30f23c5badcfa151f594
+size 230698
diff --git a/results/train/ellipse/problem_6811.png b/results/train/ellipse/problem_6811.png
new file mode 100644
index 0000000000000000000000000000000000000000..976a8ffb26f4fe30f7ea067aec1f1554b05a7554
--- /dev/null
+++ b/results/train/ellipse/problem_6811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:119c468b28091a23a589599670b64e9efee6bfe4adce1333a22bf990bc09adaa
+size 219711
diff --git a/results/train/ellipse/problem_6822.png b/results/train/ellipse/problem_6822.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc432f6c5456a56e91481dd8dc5ba0acc65a48cf
--- /dev/null
+++ b/results/train/ellipse/problem_6822.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bfb90478fbce55c1ec2e29a3b54e4b86e7874a525f1d07a0814c582afa076c0
+size 216618
diff --git a/results/train/ellipse/problem_6832.png b/results/train/ellipse/problem_6832.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6eae8a3fcc50b06afd9b31e8f353633a52ad238
--- /dev/null
+++ b/results/train/ellipse/problem_6832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3880a55fae514c0ebd5fd97782b605ce36d3bc587a56f322fe2d1a0ebf178bad
+size 227874
diff --git a/results/train/ellipse/problem_6842.png b/results/train/ellipse/problem_6842.png
new file mode 100644
index 0000000000000000000000000000000000000000..48f5976e216157ff9e75ad1107e6e5135d22728e
--- /dev/null
+++ b/results/train/ellipse/problem_6842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ff3541a41259dec6627b36b49010f213a554e9a46dd28516fa09413fad4c345
+size 182504
diff --git a/results/train/ellipse/problem_6843.png b/results/train/ellipse/problem_6843.png
new file mode 100644
index 0000000000000000000000000000000000000000..13bb8f27085ac7a0d674f02404b567e51b56672a
--- /dev/null
+++ b/results/train/ellipse/problem_6843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba81889a38cfdc0effe985eea628894cf2c5e53050e8a88c2e98de010b078108
+size 221840
diff --git a/results/train/ellipse/problem_6844.png b/results/train/ellipse/problem_6844.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc908d5346f6a38895537ac5f97707d819245bed
--- /dev/null
+++ b/results/train/ellipse/problem_6844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0e1a7d63936c999b2bec43b9debbccb6093bdb835d06c17e0675664bb7ac10d
+size 230068
diff --git a/results/train/ellipse/problem_6845.png b/results/train/ellipse/problem_6845.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd6a4755791e16a4d5eadde532ee33dca0dfd5d6
--- /dev/null
+++ b/results/train/ellipse/problem_6845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c89991b2e15bcb6e9d441d3fc4a79b9496eab27c066b0aac1ed276a467106c7
+size 216473
diff --git a/results/train/ellipse/problem_6847.png b/results/train/ellipse/problem_6847.png
new file mode 100644
index 0000000000000000000000000000000000000000..83370bd9f2961f8fb56a65c3d4913d48272a29fb
--- /dev/null
+++ b/results/train/ellipse/problem_6847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2e75b50a43b668acf0c63d9b2e25a8850bbe3337b9083964060e5de2216a1b3
+size 222362
diff --git a/results/train/ellipse/problem_6848.png b/results/train/ellipse/problem_6848.png
new file mode 100644
index 0000000000000000000000000000000000000000..a256985fc860099e492a9e70455cad49138d35df
--- /dev/null
+++ b/results/train/ellipse/problem_6848.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d65d6bf9055e9b3f9f26e699b4039f28d02c7a3ba9f037dd3c5dc141da218af9
+size 190666
diff --git a/results/train/ellipse/problem_6850.png b/results/train/ellipse/problem_6850.png
new file mode 100644
index 0000000000000000000000000000000000000000..f07aa649f24a9bfa163f2095ed0e71cea60b5a42
--- /dev/null
+++ b/results/train/ellipse/problem_6850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2efb3ab51eb3842205297ef4f903c37787b93111059c21733a812f7181b99498
+size 228630
diff --git a/results/train/ellipse/problem_6856.png b/results/train/ellipse/problem_6856.png
new file mode 100644
index 0000000000000000000000000000000000000000..69e2eb0e0f902c875094078ad2df6dd52e9175bc
--- /dev/null
+++ b/results/train/ellipse/problem_6856.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d047f283d68122ed0c124b100d1466344cf7df9c8cf7b179ae5737f005dce27c
+size 218566
diff --git a/results/train/ellipse/problem_6859.png b/results/train/ellipse/problem_6859.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaa9832d98d335d56d37a8304df2772317579c13
--- /dev/null
+++ b/results/train/ellipse/problem_6859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c11372b963e88cc2fe6a9345f5f846753e42075af396e441793e803661c53b1
+size 187812
diff --git a/results/train/ellipse/problem_6863.png b/results/train/ellipse/problem_6863.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f0bb7668c958aaf5d7b741191c945dd1c70e9be
--- /dev/null
+++ b/results/train/ellipse/problem_6863.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b51d4f21f39736d26b3eea1d4e2dcce46f70b1e1898fcdd6b3cdc579ebae85f4
+size 207091
diff --git a/results/train/ellipse/problem_6868.png b/results/train/ellipse/problem_6868.png
new file mode 100644
index 0000000000000000000000000000000000000000..9eebee15afbb6f88c2ee2724ebadac08abb43185
--- /dev/null
+++ b/results/train/ellipse/problem_6868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4a54d88c28b565bc8ee90c822a60f23b71ea0e4d8be0d77811ea167aee47f42
+size 225195
diff --git a/results/train/ellipse/problem_6878.png b/results/train/ellipse/problem_6878.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a2855fd04f73c5943fcaf939e066618c3ef51f2
--- /dev/null
+++ b/results/train/ellipse/problem_6878.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:169ee0094ba36fc54576437913396e2ff1bf20f999c00e4f35f48ba99bc34bd2
+size 225636
diff --git a/results/train/ellipse/problem_6879.png b/results/train/ellipse/problem_6879.png
new file mode 100644
index 0000000000000000000000000000000000000000..d01ae59428b4c1d7cf563c5f8ec620411965cc78
--- /dev/null
+++ b/results/train/ellipse/problem_6879.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6420254e79523ee9264324245d777ed5626f2ebb4ffbec1ce23c6ccd28d3ba2
+size 227285
diff --git a/results/train/ellipse/problem_6886.png b/results/train/ellipse/problem_6886.png
new file mode 100644
index 0000000000000000000000000000000000000000..43fab19c5acecab2539e95ae771616c5d65d5bbf
--- /dev/null
+++ b/results/train/ellipse/problem_6886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06d90342f44be73c3d8f384d864019a59dfa13ccfd3adb7b7a6470299bf98443
+size 197218
diff --git a/results/train/ellipse/problem_6887.png b/results/train/ellipse/problem_6887.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf7c6ea12d01e7df2c6116eab2af887699c3fd43
--- /dev/null
+++ b/results/train/ellipse/problem_6887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d3c34c4bd08cd6a8f25af1ce6ba6c15d34957e9b4c743866a635e736675c6f4
+size 191353
diff --git a/results/train/ellipse/problem_6890.png b/results/train/ellipse/problem_6890.png
new file mode 100644
index 0000000000000000000000000000000000000000..10ea5f0587ee6693c5a921f474d0ecb3d7325a74
--- /dev/null
+++ b/results/train/ellipse/problem_6890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9b1d5da2bffca97b6ab04b4f2348e1c46f510b492f67c1a31548056bf9df909
+size 213369
diff --git a/results/train/ellipse/problem_6896.png b/results/train/ellipse/problem_6896.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d1063b21cf816964eb9f9f312bdd45d8b26ce00
--- /dev/null
+++ b/results/train/ellipse/problem_6896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24f0cd67cccf59fd5def34fd1e2319ed4c42cb018e752c17c2c5ea33df9c5338
+size 214621
diff --git a/results/train/ellipse/problem_6905.png b/results/train/ellipse/problem_6905.png
new file mode 100644
index 0000000000000000000000000000000000000000..c59a3dc67af0b8295de4b930f59e6128ec6fd6d3
--- /dev/null
+++ b/results/train/ellipse/problem_6905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3666b34be23ddd637a3c7102757dbb68a7507eb7679381b5c1ec36bbb582e59
+size 218762
diff --git a/results/train/ellipse/problem_6909.png b/results/train/ellipse/problem_6909.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8a3ae0f483977256d4822a2c2ee86befe4e4565
--- /dev/null
+++ b/results/train/ellipse/problem_6909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b329f23892b899f0f1dd81fbb14c8e0ce73111390e28982d3ea8fb4a7eeceb9
+size 247518
diff --git a/results/train/ellipse/problem_6911.png b/results/train/ellipse/problem_6911.png
new file mode 100644
index 0000000000000000000000000000000000000000..97fc12fae52cb49b167699f800f6be7c0543c0e7
--- /dev/null
+++ b/results/train/ellipse/problem_6911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bc635cfea4e9382c7ddc7c7b02a5978eaefc831f21f87a9ab78931e510f2476
+size 207980
diff --git a/results/train/ellipse/problem_6913.png b/results/train/ellipse/problem_6913.png
new file mode 100644
index 0000000000000000000000000000000000000000..99fa810b75c0f6004e1bbf6e4db1fe556d1b686e
--- /dev/null
+++ b/results/train/ellipse/problem_6913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac53c2e5c242d27eb94a547c89e72b10f29da86e6d553baf54f96519bacce2cb
+size 230919
diff --git a/results/train/ellipse/problem_6918.png b/results/train/ellipse/problem_6918.png
new file mode 100644
index 0000000000000000000000000000000000000000..e47d9e162f0f0cee14bed6625a405fedf7de3b5a
--- /dev/null
+++ b/results/train/ellipse/problem_6918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4620285b1e83762442ff813c7ef6fff9643685f5bf502e53ce64de1455c6ae0
+size 198190
diff --git a/results/train/ellipse/problem_6934.png b/results/train/ellipse/problem_6934.png
new file mode 100644
index 0000000000000000000000000000000000000000..07dc8d702a1096a507fd3013efcfd4dbffcfe994
--- /dev/null
+++ b/results/train/ellipse/problem_6934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b334bedb8593c5a5f8267c776fc1e6e0f50386f3a2b626431df34ba11ca2e844
+size 221024
diff --git a/results/train/ellipse/problem_6938.png b/results/train/ellipse/problem_6938.png
new file mode 100644
index 0000000000000000000000000000000000000000..36567bc8b9c6fcbff9fed2779d9bfcb1e2ec432c
--- /dev/null
+++ b/results/train/ellipse/problem_6938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7ae99af9ded1e302a1749f117513103b11fb0399dc782cbce654ad0cca99c6d
+size 221956
diff --git a/results/train/ellipse/problem_6951.png b/results/train/ellipse/problem_6951.png
new file mode 100644
index 0000000000000000000000000000000000000000..387ea7e78aee26c33c0b79f4735dd7eaf74a6722
--- /dev/null
+++ b/results/train/ellipse/problem_6951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee968cb1fa1730b8aaabab5be30e764eca9cf2fcc4da4124971c45419103aacf
+size 228751
diff --git a/results/train/ellipse/problem_6954.png b/results/train/ellipse/problem_6954.png
new file mode 100644
index 0000000000000000000000000000000000000000..54b415b678fad156a680485f9bac0a2446ab4e94
--- /dev/null
+++ b/results/train/ellipse/problem_6954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c272f893182af8fe8ae2b106f49b0126a0ababf7888e22bfedf349ecb959ad0
+size 215009
diff --git a/results/train/ellipse/problem_6958.png b/results/train/ellipse/problem_6958.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b0fd6f0046911fa165fad45d71023d688145d1c
--- /dev/null
+++ b/results/train/ellipse/problem_6958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85096d6e4fd526e0ee7dbca0942ccd0e41978141ebd0dde27209166cd8ce6488
+size 234576
diff --git a/results/train/ellipse/problem_6959.png b/results/train/ellipse/problem_6959.png
new file mode 100644
index 0000000000000000000000000000000000000000..b57d36de4d8b5a503b4c6ae592d3cf8c6183c8c8
--- /dev/null
+++ b/results/train/ellipse/problem_6959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dba772025e4f5ecea836289468d6484d9b01b691a57fe107c8e01ac2d18f908f
+size 212072
diff --git a/results/train/ellipse/problem_6960.png b/results/train/ellipse/problem_6960.png
new file mode 100644
index 0000000000000000000000000000000000000000..958cd867312deb399e6c4cb7f465149626ba5d0c
--- /dev/null
+++ b/results/train/ellipse/problem_6960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd5c35583fa54bc61bb3988b21e3c6a0f13525952766c365eade009c1d33e49e
+size 224831
diff --git a/results/train/ellipse/problem_6966.png b/results/train/ellipse/problem_6966.png
new file mode 100644
index 0000000000000000000000000000000000000000..234c44ee9cb2e3f7f263a1cc75e7810bef5665a2
--- /dev/null
+++ b/results/train/ellipse/problem_6966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:921946b283155ffcca0b6977d93d9144a077535e15a8a3556a6d48bff2e3b825
+size 223319
diff --git a/results/train/ellipse/problem_6971.png b/results/train/ellipse/problem_6971.png
new file mode 100644
index 0000000000000000000000000000000000000000..c38dc6fbc1b5a1faf3f188759f5f45f48e3e1a20
--- /dev/null
+++ b/results/train/ellipse/problem_6971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fac97937c46fe268bc748b0e50b9727d1449dbb5cf5d5ef020e9591cb938a894
+size 228447
diff --git a/results/train/ellipse/problem_6973.png b/results/train/ellipse/problem_6973.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c0217a21ba79772a9e10c044340df9a46f795b4
--- /dev/null
+++ b/results/train/ellipse/problem_6973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec1296b721cd889ac9a9a9bf04e96e01636f96aa8832c350f066942e7882373a
+size 219838
diff --git a/results/train/ellipse/problem_6974.png b/results/train/ellipse/problem_6974.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fb39addd24e7ac6d5bc38e6cc60a1c44886cc66
--- /dev/null
+++ b/results/train/ellipse/problem_6974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d8b2b5f1928b647df6fb9cb8cf966f9af6c3ea9a09dda9c454374852238c064
+size 219980
diff --git a/results/train/ellipse/problem_6980.png b/results/train/ellipse/problem_6980.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c982a4a63c65c8cff9764ded678d817dc8236d1
--- /dev/null
+++ b/results/train/ellipse/problem_6980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4518383725a1200036714af5cb23c57a324bf9060677f971a08bbc2d8849e15
+size 225086
diff --git a/results/train/ellipse/problem_6982.png b/results/train/ellipse/problem_6982.png
new file mode 100644
index 0000000000000000000000000000000000000000..0166cf90a158d614d4d79a4ed7f14562ae54ba8d
--- /dev/null
+++ b/results/train/ellipse/problem_6982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42c63ec311453cdc99e417214e93154d2e7e155fd3bcfa57f3c32f101d32d59d
+size 220292
diff --git a/results/train/ellipse/problem_6985.png b/results/train/ellipse/problem_6985.png
new file mode 100644
index 0000000000000000000000000000000000000000..5815ed96ab48d49a2dd4a2748faf6acfbfdae225
--- /dev/null
+++ b/results/train/ellipse/problem_6985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b24c87b646e97c4f39b51908ef3a90d87214c68351adaa64bc2c6e219506c4ac
+size 233368
diff --git a/results/train/ellipse/problem_6988.png b/results/train/ellipse/problem_6988.png
new file mode 100644
index 0000000000000000000000000000000000000000..e479a7b6fd6a50279916a1c78e75344d0076365e
--- /dev/null
+++ b/results/train/ellipse/problem_6988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e420a39c88ca705db70331427d4375662926f2b67f2ce11e26e1d2a0cf6d929d
+size 235706
diff --git a/results/train/ellipse/problem_6996.png b/results/train/ellipse/problem_6996.png
new file mode 100644
index 0000000000000000000000000000000000000000..0130127fbbfabcaa083f1eb40a1d34dcb3d2a808
--- /dev/null
+++ b/results/train/ellipse/problem_6996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:903345c59024898a00ff8957e45e9ab366d20acb7004fe7a0d1ef51d40988caf
+size 229264
diff --git a/results/train/ellipse/problem_6997.png b/results/train/ellipse/problem_6997.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea75b9516721441d269d631c9bb9f0fc64b379d4
--- /dev/null
+++ b/results/train/ellipse/problem_6997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5a019c012aa7b0d283173b2d9a88d82b06f17fe3a3ea3711e0d7fc9b8c29478
+size 212265
diff --git a/results/train/ellipse/problem_7007.png b/results/train/ellipse/problem_7007.png
new file mode 100644
index 0000000000000000000000000000000000000000..a65cce30ad53b698e539488eee4954c3f0f3f339
--- /dev/null
+++ b/results/train/ellipse/problem_7007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e113f8f3f9920923804b4ae8b2f5239f9109c2b8450a2eb6424e02309ce41f00
+size 249696
diff --git a/results/train/ellipse/problem_7010.png b/results/train/ellipse/problem_7010.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ac11cc3bc7074452413aaf28fa693e618a5303f
--- /dev/null
+++ b/results/train/ellipse/problem_7010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4213043815c9e5c575b3c82b6ad43fdfc7370da536d15d08c23c13cae46b6c26
+size 224003
diff --git a/results/train/ellipse/problem_7016.png b/results/train/ellipse/problem_7016.png
new file mode 100644
index 0000000000000000000000000000000000000000..19bc2ca2993fee177b78e49335e8c01ec86f8df6
--- /dev/null
+++ b/results/train/ellipse/problem_7016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57f69743d265dbd083fa47f5b0e19996aca9a0a1639bea52c977cd13684eae81
+size 211426
diff --git a/results/train/ellipse/problem_7019.png b/results/train/ellipse/problem_7019.png
new file mode 100644
index 0000000000000000000000000000000000000000..be417a19ae8a6f8557253805e40beb21e34d7007
--- /dev/null
+++ b/results/train/ellipse/problem_7019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11ccae156acc8e9a6a0c4b4d1b2895ee5804b1db2dbbf63a059e51a404cd0cb7
+size 210116
diff --git a/results/train/ellipse/problem_7022.png b/results/train/ellipse/problem_7022.png
new file mode 100644
index 0000000000000000000000000000000000000000..4842eb755374280aa0433120946bd9b495e6326c
--- /dev/null
+++ b/results/train/ellipse/problem_7022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:370d2cf51f082e4453f63e5a1414e7432bd2c81760cb42766b3e350a686e76ad
+size 196441
diff --git a/results/train/ellipse/problem_7034.png b/results/train/ellipse/problem_7034.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc7541b1671a2da683cabc22e407dbc8063557f1
--- /dev/null
+++ b/results/train/ellipse/problem_7034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d0c520c099ac05ad23405e9469342fb4c81190114b71ce2ce37724a41859af3
+size 231795
diff --git a/results/train/ellipse/problem_7042.png b/results/train/ellipse/problem_7042.png
new file mode 100644
index 0000000000000000000000000000000000000000..b39a609c68369312f3d2e8dcaeb86bb8d97f5555
--- /dev/null
+++ b/results/train/ellipse/problem_7042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efa7f7486e5019b9244407d21c13d37613566a7e4ca91bf4eb200cf90a3f667a
+size 218023
diff --git a/results/train/ellipse/problem_7047.png b/results/train/ellipse/problem_7047.png
new file mode 100644
index 0000000000000000000000000000000000000000..393edc3f82a282afc4143f57b5cba17927f51fc9
--- /dev/null
+++ b/results/train/ellipse/problem_7047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a67a7d988d91f7ef7b2e50917bec91bde674428b1555c9c677d659b783a1e4b6
+size 213123
diff --git a/results/train/ellipse/problem_7054.png b/results/train/ellipse/problem_7054.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba036e8980ffe8984b5063a016e327327939ffd7
--- /dev/null
+++ b/results/train/ellipse/problem_7054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:336c7cd7eaf353801096ee8191bbd8cc47fd4cbd00ab9f8aa9faaa8f1dba7905
+size 186728
diff --git a/results/train/ellipse/problem_7070.png b/results/train/ellipse/problem_7070.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3feb4cdbf8980dd9ee4b0017333f252cfe05a32
--- /dev/null
+++ b/results/train/ellipse/problem_7070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4fa748a6bc90ffafdca16bfceed64923a35b437fdb59a0aef363d0cc2be5f7f
+size 194888
diff --git a/results/train/ellipse/problem_7073.png b/results/train/ellipse/problem_7073.png
new file mode 100644
index 0000000000000000000000000000000000000000..09eafd257bd63a23c693119bc88b611eb2b1334c
--- /dev/null
+++ b/results/train/ellipse/problem_7073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53a61ab3a4510aa7088027fa0719d452c1826feb7b821b00deb6147d37cb5a20
+size 218691
diff --git a/results/train/ellipse/problem_7074.png b/results/train/ellipse/problem_7074.png
new file mode 100644
index 0000000000000000000000000000000000000000..38bb55865c73636a43e3f36384a974eebeb21068
--- /dev/null
+++ b/results/train/ellipse/problem_7074.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a594b9735489aedad86b04760629ed0e42261f7df6366d4a66734132f96c286
+size 217110
diff --git a/results/train/ellipse/problem_7080.png b/results/train/ellipse/problem_7080.png
new file mode 100644
index 0000000000000000000000000000000000000000..76a59e88cc66500cc4a6fde3a9d85e6474634b2d
--- /dev/null
+++ b/results/train/ellipse/problem_7080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77b5a89b50f87d15de2a01bc3f041b9e65f7e0e0ca973008aac4760f4e154987
+size 208002
diff --git a/results/train/ellipse/problem_7082.png b/results/train/ellipse/problem_7082.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2a44203507af2c241097f3b86e4b0dac44d737a
--- /dev/null
+++ b/results/train/ellipse/problem_7082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23ded8973fa642ba607f5092258bf3f7835a299231e5186c6239295a808835e6
+size 228506
diff --git a/results/train/ellipse/problem_7084.png b/results/train/ellipse/problem_7084.png
new file mode 100644
index 0000000000000000000000000000000000000000..11b962017f57d351408af1f434c02c949b3d084a
--- /dev/null
+++ b/results/train/ellipse/problem_7084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f43a996655db2251c460ebc1e6c0b622f160a4e22a4e4d5cee99cb45a02cfff1
+size 246919
diff --git a/results/train/ellipse/problem_7086.png b/results/train/ellipse/problem_7086.png
new file mode 100644
index 0000000000000000000000000000000000000000..17e2fc8b1597ca084c2aa4837c2ad831b4792530
--- /dev/null
+++ b/results/train/ellipse/problem_7086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:915279e84b9a8e33de13d13f6401eb1c3fb775c83e4460062b6a997d273b7f94
+size 194488
diff --git a/results/train/ellipse/problem_7087.png b/results/train/ellipse/problem_7087.png
new file mode 100644
index 0000000000000000000000000000000000000000..45bbfd87a9fac25636d2d7d7cbfc4e553e91ba30
--- /dev/null
+++ b/results/train/ellipse/problem_7087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7be5fb585617f079cccbf55a1a86016925b8269d1ed9dcaa4b46f368d7d49aff
+size 191125
diff --git a/results/train/ellipse/problem_7091.png b/results/train/ellipse/problem_7091.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7befb8dfc37bd2e15c5f90b5b2890221c5cfa8a
--- /dev/null
+++ b/results/train/ellipse/problem_7091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a971793771fd5f340f8f6daaa5fcd11cb31cfd2f11e06a33516c77320808ecb5
+size 225265
diff --git a/results/train/ellipse/problem_7092.png b/results/train/ellipse/problem_7092.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cce751005ebe61a13d0de10195480effc07b011
--- /dev/null
+++ b/results/train/ellipse/problem_7092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:262a521c8b455d8524796b5f43484535cc63d72925e694cafcf36e61f028a98d
+size 189680
diff --git a/results/train/ellipse/problem_7099.png b/results/train/ellipse/problem_7099.png
new file mode 100644
index 0000000000000000000000000000000000000000..3743af476b91835dbd01fd5b2bf352dd79273459
--- /dev/null
+++ b/results/train/ellipse/problem_7099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c197569781188c9bc6720c99411cbf8206ab09be6bc29813111cbb79edc16003
+size 220357
diff --git a/results/train/ellipse/problem_7102.png b/results/train/ellipse/problem_7102.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c6d19606f33f430ad79307a8494cd230839a7dc
--- /dev/null
+++ b/results/train/ellipse/problem_7102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21c67f543e1575a7eacf867114b1e844af1bb31b0ae977f5073371086df690d3
+size 233930
diff --git a/results/train/ellipse/problem_7104.png b/results/train/ellipse/problem_7104.png
new file mode 100644
index 0000000000000000000000000000000000000000..3366eccaafb0c284caed35f55ff8c9506b6c1cbd
--- /dev/null
+++ b/results/train/ellipse/problem_7104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adc69ca5ec560dabe53ac1bcfdae4d33dddd302f3da65161fb38e12df3c4339d
+size 224240
diff --git a/results/train/ellipse/problem_7105.png b/results/train/ellipse/problem_7105.png
new file mode 100644
index 0000000000000000000000000000000000000000..93a388ed66123c8350d9d07000d6ca230ac1ef62
--- /dev/null
+++ b/results/train/ellipse/problem_7105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a52dd246d70c4a4db21bb41920c342f151a9d7fd40e9d900e03bf95013638fdb
+size 230602
diff --git a/results/train/ellipse/problem_7107.png b/results/train/ellipse/problem_7107.png
new file mode 100644
index 0000000000000000000000000000000000000000..08cc7a9473e7cae29b0c7ab743f78437e6349bec
--- /dev/null
+++ b/results/train/ellipse/problem_7107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b17cc87287eb43d35d2891e13f1e40ef22f09f52a0ca528ddf4f6076cf9f00ba
+size 221077
diff --git a/results/train/ellipse/problem_7118.png b/results/train/ellipse/problem_7118.png
new file mode 100644
index 0000000000000000000000000000000000000000..cff52fe4b0dfdef3487119283692ba6164cc661a
--- /dev/null
+++ b/results/train/ellipse/problem_7118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c4674d401879eccb56ac11aa3b20d8a9859ab597d4d7a95e25e2f6d95fd3daf
+size 220835
diff --git a/results/train/ellipse/problem_7127.png b/results/train/ellipse/problem_7127.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f9355d0ab08228ffa3d4c35d08c0748e3d7d9b5
--- /dev/null
+++ b/results/train/ellipse/problem_7127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b680a073ffc47a605cbc2d123496a76dc62e8dda945f0121a7616372ddd4552
+size 221824
diff --git a/results/train/ellipse/problem_7129.png b/results/train/ellipse/problem_7129.png
new file mode 100644
index 0000000000000000000000000000000000000000..58aabd550630c19a45ca44c71cad526001a87125
--- /dev/null
+++ b/results/train/ellipse/problem_7129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c94627b23c399c15bd89bc4d3ef5f5e0cca4dcb32cbd3d4762e6f779a642b94
+size 229317
diff --git a/results/train/ellipse/problem_7130.png b/results/train/ellipse/problem_7130.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce4c25f9e887a013b32a1efeb8f7edeb93e9f50f
--- /dev/null
+++ b/results/train/ellipse/problem_7130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11aaf85fba974072386fa563a35bb088a6c21f3bf53611a3723bf243d2a6bb0a
+size 226095
diff --git a/results/train/ellipse/problem_7132.png b/results/train/ellipse/problem_7132.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c14522d96fa9d948f488c5bc050b44c779674e5
--- /dev/null
+++ b/results/train/ellipse/problem_7132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1ff587c4cf0d40c14af4af2e3c5e6243b1ff0444c7a8dee1d9dc862a99e9e74
+size 232158
diff --git a/results/train/ellipse/problem_7133.png b/results/train/ellipse/problem_7133.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3b013f21b5343c68c479a95eaf0d74fd2570c07
--- /dev/null
+++ b/results/train/ellipse/problem_7133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a943686728f23ca8e49faac39a74083c26bcf7196582891e643654ebedf51a0c
+size 213477
diff --git a/results/train/ellipse/problem_7145.png b/results/train/ellipse/problem_7145.png
new file mode 100644
index 0000000000000000000000000000000000000000..0549abd93227d4272072b67f23f051c90126c19c
--- /dev/null
+++ b/results/train/ellipse/problem_7145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bddbe67a5176b15f7d0530d221561e4bdd0c2e692502fc8a74a7593e8f77843
+size 220615
diff --git a/results/train/ellipse/problem_7147.png b/results/train/ellipse/problem_7147.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a8b2ae709a180d2bd179647072214ac404b79e2
--- /dev/null
+++ b/results/train/ellipse/problem_7147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:727859b4f1a5a6c211e97ea3cda1dfc7c0556d99debb523d992a6174700d4fb2
+size 220861
diff --git a/results/train/ellipse/problem_7159.png b/results/train/ellipse/problem_7159.png
new file mode 100644
index 0000000000000000000000000000000000000000..25cdf2fd13ea9f4f2834c72eddd39a7f336e1268
--- /dev/null
+++ b/results/train/ellipse/problem_7159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f5b846ef7300796e12ce5d994e23fd0dfdd2b3f22d08b342710d8a5076e93e8
+size 220661
diff --git a/results/train/ellipse/problem_7161.png b/results/train/ellipse/problem_7161.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bc2bcef5ffe8c8ee182ed68850f233914cc50c0
--- /dev/null
+++ b/results/train/ellipse/problem_7161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30ddbd3e2278ec7b60adf99882ba31550fb09b850877a397bf0ab950995be95b
+size 223199
diff --git a/results/train/ellipse/problem_7163.png b/results/train/ellipse/problem_7163.png
new file mode 100644
index 0000000000000000000000000000000000000000..6eab5fbc71dcc955fa9a5d44c68b63108270aad2
--- /dev/null
+++ b/results/train/ellipse/problem_7163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:326f7c09f7c19a9b5ef0bb24590cf69fbb52b7cec62fc8a4fea9045626fcea21
+size 264329
diff --git a/results/train/ellipse/problem_7166.png b/results/train/ellipse/problem_7166.png
new file mode 100644
index 0000000000000000000000000000000000000000..011b333c80b9cbc607c554e00387f24cba87ad74
--- /dev/null
+++ b/results/train/ellipse/problem_7166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebb9233629ae03f293e5c6aa9de8956a952c05a0596b5817dff49384af457fb4
+size 219724
diff --git a/results/train/ellipse/problem_7171.png b/results/train/ellipse/problem_7171.png
new file mode 100644
index 0000000000000000000000000000000000000000..5991af38fd9b57db52c5154a5d5c7c861817d15f
--- /dev/null
+++ b/results/train/ellipse/problem_7171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54f4f391b0eb175dd05d0182e9a1247186fcaeb98e928b8c2f57b7c172a7be1d
+size 221304
diff --git a/results/train/ellipse/problem_7172.png b/results/train/ellipse/problem_7172.png
new file mode 100644
index 0000000000000000000000000000000000000000..db889170d83bc1cd3af45a0c08c3decfdba78ed0
--- /dev/null
+++ b/results/train/ellipse/problem_7172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49774bb04b9cc94c4600c9ad522d07036b631bad12621aa334edc25e87b8d11b
+size 212884
diff --git a/results/train/ellipse/problem_7175.png b/results/train/ellipse/problem_7175.png
new file mode 100644
index 0000000000000000000000000000000000000000..05b2bcfc244a29d5809a3d415857e919908379af
--- /dev/null
+++ b/results/train/ellipse/problem_7175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc0d3ed839f792d276c6c779b3494f4be4e1944bbc99b6b94ac56f6cf0e1b49f
+size 238562
diff --git a/results/train/ellipse/problem_7184.png b/results/train/ellipse/problem_7184.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3638f8da9438a94c63ecff5f764ec41de5129c4
--- /dev/null
+++ b/results/train/ellipse/problem_7184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b41cc2afa0250317253af16cefdfd9e5ebb3b50c075b144ee56c330a5d8f0b7
+size 212189
diff --git a/results/train/ellipse/problem_7187.png b/results/train/ellipse/problem_7187.png
new file mode 100644
index 0000000000000000000000000000000000000000..feeb739580033498f5ee6e6a33bae9211f7a174f
--- /dev/null
+++ b/results/train/ellipse/problem_7187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e22dfbf8d50cc5afc834dbb38915df94caeb73f6b5b45af74a019505d21eef0f
+size 221602
diff --git a/results/train/ellipse/problem_7189.png b/results/train/ellipse/problem_7189.png
new file mode 100644
index 0000000000000000000000000000000000000000..95851a503a573f1f2365ffbdf893573ca1e7511d
--- /dev/null
+++ b/results/train/ellipse/problem_7189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6c4c3cca928edc2d53d7bec7c8e251f8bc68f63a81d2ca4b9fc705b9e2978a8
+size 229501
diff --git a/results/train/ellipse/problem_7196.png b/results/train/ellipse/problem_7196.png
new file mode 100644
index 0000000000000000000000000000000000000000..345805f9dfdb1370f2d24abf8873ef6e3926f282
--- /dev/null
+++ b/results/train/ellipse/problem_7196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f11f673a85c33ec6f8aa0be4fea222cc1afb90385d2d15706d77ed46b419e85
+size 223866
diff --git a/results/train/ellipse/problem_7201.png b/results/train/ellipse/problem_7201.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b3ebc8bb7580cba166d632825375d470d24baf6
--- /dev/null
+++ b/results/train/ellipse/problem_7201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:899565655a7e6e3082fae3ae60d07672f3c9d4af03c7dee570f84cf2eb6a6dd5
+size 221207
diff --git a/results/train/ellipse/problem_7204.png b/results/train/ellipse/problem_7204.png
new file mode 100644
index 0000000000000000000000000000000000000000..357599526ad25b7ed6229d6eecd07f8e11532a9c
--- /dev/null
+++ b/results/train/ellipse/problem_7204.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d7a942018efa97da03e7ad243cc7033bf3643ef8401b687cbbc0dbaa2c9f0ae
+size 211440
diff --git a/results/train/ellipse/problem_7205.png b/results/train/ellipse/problem_7205.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8ff06f79c4dbb8e7c780bf29d3a9116adb5062d
--- /dev/null
+++ b/results/train/ellipse/problem_7205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adfcf954d3f6de19ceb56e68763280413c84998e0434290c978898089dca1c79
+size 220013
diff --git a/results/train/ellipse/problem_7210.png b/results/train/ellipse/problem_7210.png
new file mode 100644
index 0000000000000000000000000000000000000000..87dcc50b5bf4119c1e11bd1486d6ee1430a166ea
--- /dev/null
+++ b/results/train/ellipse/problem_7210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73edfe63cdc39c6092edf92002975777789eae94c6da5f4562793230b677c315
+size 213895
diff --git a/results/train/ellipse/problem_7215.png b/results/train/ellipse/problem_7215.png
new file mode 100644
index 0000000000000000000000000000000000000000..eacf313ba56f29e894c92d1ca3a3aab6ee64fb2b
--- /dev/null
+++ b/results/train/ellipse/problem_7215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e29b2df80e5f1cbb7b015f5cc3ea237f76dcebfc6cfcc9bf15733483b10daa45
+size 235389
diff --git a/results/train/ellipse/problem_7223.png b/results/train/ellipse/problem_7223.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b8950f1a8597ff3dc4d36b07f4a45359c83c726
--- /dev/null
+++ b/results/train/ellipse/problem_7223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e658fadb05d9dfffae248019859c38088646815ebc2feede1a9ca21e3a442ae
+size 225367
diff --git a/results/train/ellipse/problem_7224.png b/results/train/ellipse/problem_7224.png
new file mode 100644
index 0000000000000000000000000000000000000000..b85ef47fcfd6b676997ae0b9db213ffa8bed7bb3
--- /dev/null
+++ b/results/train/ellipse/problem_7224.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7309df78c00fc7643b7e0a7668c39dd0cdb67990dc7812d21ad94181a348278b
+size 220930
diff --git a/results/train/ellipse/problem_7226.png b/results/train/ellipse/problem_7226.png
new file mode 100644
index 0000000000000000000000000000000000000000..67c505a7c76d90544b317ea103ff4624b316e528
--- /dev/null
+++ b/results/train/ellipse/problem_7226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a17f2407ccc1d3d4114cc029dc7bc954d24cf6e2d74395fe79839d388271736
+size 217052
diff --git a/results/train/ellipse/problem_7230.png b/results/train/ellipse/problem_7230.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a0b1e584c7305b33ecb29e3f4a6fdf355cedadc
--- /dev/null
+++ b/results/train/ellipse/problem_7230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8f7fcb62e64536a648f5aa168cf74dbb5ac819ad5c6eaba6d9466c7aef218e8
+size 229897
diff --git a/results/train/ellipse/problem_7232.png b/results/train/ellipse/problem_7232.png
new file mode 100644
index 0000000000000000000000000000000000000000..739fffb2721fc2a4fb3c293ae3611cbdeeb14251
--- /dev/null
+++ b/results/train/ellipse/problem_7232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27e36f1a463cbf1e2cbfc350706aa25441519c481e36847de2dd844e99556b07
+size 196176
diff --git a/results/train/ellipse/problem_7235.png b/results/train/ellipse/problem_7235.png
new file mode 100644
index 0000000000000000000000000000000000000000..923ccfcf50e0370fe75f0cdefbe60c61845d04d2
--- /dev/null
+++ b/results/train/ellipse/problem_7235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07d9052ae80ebe630d9d3211aebfc2f5d87e37037779b9e0409bb90a097a1280
+size 234086
diff --git a/results/train/ellipse/problem_7236.png b/results/train/ellipse/problem_7236.png
new file mode 100644
index 0000000000000000000000000000000000000000..db3d625a31e7174d72f01e708f6f0ccc94e3f3dd
--- /dev/null
+++ b/results/train/ellipse/problem_7236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10e29ffd44b8ee71e0686841de925a84e1822911d101e78957de5f6a67f704ef
+size 207167
diff --git a/results/train/ellipse/problem_7237.png b/results/train/ellipse/problem_7237.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3d86741fe8e27c1de33c65f6d67538f1b8cacce
--- /dev/null
+++ b/results/train/ellipse/problem_7237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9aaee5805c0d2125168e49ede54703726964100affd2461f26ebd439af8803cc
+size 223476
diff --git a/results/train/ellipse/problem_7243.png b/results/train/ellipse/problem_7243.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0532fd017c39d75f53ea43627ce0360025f332b
--- /dev/null
+++ b/results/train/ellipse/problem_7243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad6815c5b25a1a6b7d3090523694876de3d625252837008c2574ca8ad26c9fff
+size 222957
diff --git a/results/train/ellipse/problem_7245.png b/results/train/ellipse/problem_7245.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb4749b5039cc6bd98051da56829caa7e0913733
--- /dev/null
+++ b/results/train/ellipse/problem_7245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9db015edc9d56b010b0e4ec8eaea0b8d49af24872a57d456ac7ed06c5d83d4e6
+size 198772
diff --git a/results/train/ellipse/problem_7252.png b/results/train/ellipse/problem_7252.png
new file mode 100644
index 0000000000000000000000000000000000000000..b86cc692d85d9bb6b4a5e862852a2d903731dfbe
--- /dev/null
+++ b/results/train/ellipse/problem_7252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a06a4e60658b2a59b043afae8e664a302a61b13cce7aaf2c8f170c88b0aeb75c
+size 218455
diff --git a/results/train/ellipse/problem_7255.png b/results/train/ellipse/problem_7255.png
new file mode 100644
index 0000000000000000000000000000000000000000..223869db738eb53ac575d138f6d323fa32836233
--- /dev/null
+++ b/results/train/ellipse/problem_7255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c9c29ba9fc857c1bf090ead54ebc22be62a029f7dd5b9ec00cef7d69eedb680
+size 221287
diff --git a/results/train/ellipse/problem_7257.png b/results/train/ellipse/problem_7257.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc739555a9cf262b177edb7f5f3a75ccc293074a
--- /dev/null
+++ b/results/train/ellipse/problem_7257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bc1729f79b33a256f7889ffc8ea632ed2f5cde8d7c73c5db1316e94619ffdb0
+size 217410
diff --git a/results/train/ellipse/problem_7261.png b/results/train/ellipse/problem_7261.png
new file mode 100644
index 0000000000000000000000000000000000000000..871f22566556b8ab32a48298a3e43d28cda904f1
--- /dev/null
+++ b/results/train/ellipse/problem_7261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bdc0a461c5cff06e9b560f4b2f31cfc26a1baac96d8857a9f9535bd3db5f9e2
+size 221178
diff --git a/results/train/ellipse/problem_7270.png b/results/train/ellipse/problem_7270.png
new file mode 100644
index 0000000000000000000000000000000000000000..42e7b2e46788e328b37cc260f500ece18c434dbe
--- /dev/null
+++ b/results/train/ellipse/problem_7270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cdc997484d1d81760dabbd927008021f41e52f852456aa6301ba5a3954aa7fd1
+size 187957
diff --git a/results/train/ellipse/problem_7274.png b/results/train/ellipse/problem_7274.png
new file mode 100644
index 0000000000000000000000000000000000000000..419cbb4ff9410ec89127af5a5e81d840297c9e5c
--- /dev/null
+++ b/results/train/ellipse/problem_7274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a73a864fdd5e395397d9b7ffdaa000c84cab19506e79b75cd7e9f1f8c6017bf
+size 234409
diff --git a/results/train/ellipse/problem_7277.png b/results/train/ellipse/problem_7277.png
new file mode 100644
index 0000000000000000000000000000000000000000..87534109d434d9ddfe086ff102fba19abafc3a2c
--- /dev/null
+++ b/results/train/ellipse/problem_7277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f281e44fd61390a5a296e57ca81d68150c45920914d4f05b933e20a7a754af09
+size 185646
diff --git a/results/train/ellipse/problem_7279.png b/results/train/ellipse/problem_7279.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf1c8554c03b29175c70bad2d1eb823fbf03d6db
--- /dev/null
+++ b/results/train/ellipse/problem_7279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2879a64bbb5d8737f388cc47adc7d7f1280756f63dd0a6d509fe2cb9d4f5c8f
+size 226782
diff --git a/results/train/ellipse/problem_7283.png b/results/train/ellipse/problem_7283.png
new file mode 100644
index 0000000000000000000000000000000000000000..fbda1f5e8577f8e3993ac5d51b71d2e793310ef0
--- /dev/null
+++ b/results/train/ellipse/problem_7283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfc7497155f8351fd9d595d5ee12841c8cab8ddf8cb360f2c730966baa9279ac
+size 224584
diff --git a/results/train/ellipse/problem_7285.png b/results/train/ellipse/problem_7285.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b9fc8b6a6e034e4e00cf266e211df695992a66e
--- /dev/null
+++ b/results/train/ellipse/problem_7285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:701a80547863cb5df6478a63fdfb9c8ffaf4a6762002514f00d7934e3244518b
+size 228009
diff --git a/results/train/ellipse/problem_7287.png b/results/train/ellipse/problem_7287.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6e6ebe92f91d7d4b2ea6b5fa582b8b29abe2f29
--- /dev/null
+++ b/results/train/ellipse/problem_7287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38c2be634aaf80f5c4cc0a272749233f0694a819da5babb204ed8b21349e60e9
+size 236355
diff --git a/results/train/ellipse/problem_7293.png b/results/train/ellipse/problem_7293.png
new file mode 100644
index 0000000000000000000000000000000000000000..3dd12bf404740475f2e841b0748c49fe7adc7599
--- /dev/null
+++ b/results/train/ellipse/problem_7293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea404400692344d446bfbad439e9a86820858eaf9eca3d7cd119b59ca9842f4d
+size 222559
diff --git a/results/train/ellipse/problem_7298.png b/results/train/ellipse/problem_7298.png
new file mode 100644
index 0000000000000000000000000000000000000000..990a80bbaa97a315a65417c75e0e0eb11eb69d9e
--- /dev/null
+++ b/results/train/ellipse/problem_7298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:deb9e446172d223764ca3f5186bd01bdd4941897bf953540eec75d1b4a5bb620
+size 223285
diff --git a/results/train/ellipse/problem_7299.png b/results/train/ellipse/problem_7299.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3c8eb6a955e0805ea782393dd2d038542089ddf
--- /dev/null
+++ b/results/train/ellipse/problem_7299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6119dfbcbc5cb8dc7261821c64ed8dd750b46133be2e84aa21ffd3f6e463aced
+size 219628
diff --git a/results/train/ellipse/problem_7300.png b/results/train/ellipse/problem_7300.png
new file mode 100644
index 0000000000000000000000000000000000000000..778a99ca10539ec3bc9ba192c46144f22ace5889
--- /dev/null
+++ b/results/train/ellipse/problem_7300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:972f3242ea5a9c2e89ca979b8920df453ca2dcaedd655da9cc86a1569d6557f8
+size 223716
diff --git a/results/train/ellipse/problem_7304.png b/results/train/ellipse/problem_7304.png
new file mode 100644
index 0000000000000000000000000000000000000000..6db8f8f189d28f9fcf212bbb7a3e14fc6620f78a
--- /dev/null
+++ b/results/train/ellipse/problem_7304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35cd22efe28c8a6746a8716a4aa10d2f8989b17be4260c375cbfd363ddf49175
+size 213969
diff --git a/results/train/ellipse/problem_7305.png b/results/train/ellipse/problem_7305.png
new file mode 100644
index 0000000000000000000000000000000000000000..374831c42f8722266bded3a06d6c159e2040f28e
--- /dev/null
+++ b/results/train/ellipse/problem_7305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46902555d9c8f8ad37f3b9a15d2bb7a02c506dc619289afb0b780f9266f95ba2
+size 253592
diff --git a/results/train/ellipse/problem_7308.png b/results/train/ellipse/problem_7308.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d232464cc7e5214dee3eb3cc8b9490b48bfa4d7
--- /dev/null
+++ b/results/train/ellipse/problem_7308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98e4abf33fa812a6c2614040ccdd2ca557a89e886ea2437d737ebb962c92aa9b
+size 181895
diff --git a/results/train/ellipse/problem_7316.png b/results/train/ellipse/problem_7316.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4542391202336a9d78f5276e5b4425d14b37577
--- /dev/null
+++ b/results/train/ellipse/problem_7316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:989d57961aff649e86438d9921291db5486b9267eebe8f59a4186df681d7d695
+size 219963
diff --git a/results/train/ellipse/problem_7331.png b/results/train/ellipse/problem_7331.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7042aea7cbcecb04ab895dc8fadfa473c5af94e
--- /dev/null
+++ b/results/train/ellipse/problem_7331.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d375a7ce7ca2443b05c2b99571e82c8e0f644af68c7b1a976bc5eccb98b976a
+size 229427
diff --git a/results/train/ellipse/problem_7333.png b/results/train/ellipse/problem_7333.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ed0a2bc5fdbd21f6471eac86cdfc38d4c5bf2cf
--- /dev/null
+++ b/results/train/ellipse/problem_7333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c575d351186ad6a0ff6e709c97b0f32cc2ac126a3e8907655db8cf0194aadad8
+size 234259
diff --git a/results/train/ellipse/problem_7337.png b/results/train/ellipse/problem_7337.png
new file mode 100644
index 0000000000000000000000000000000000000000..d072d369a850e7a086076b03125f4c467bfd998b
--- /dev/null
+++ b/results/train/ellipse/problem_7337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b375846e4419903dc60748b848b9cf5206285a939e9184752485074e05ca66d
+size 217642
diff --git a/results/train/ellipse/problem_7342.png b/results/train/ellipse/problem_7342.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9e9260caca15ad794694208afc8fe289ba28640
--- /dev/null
+++ b/results/train/ellipse/problem_7342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:688dfc5d71308be187b96bb589095c1b22d410beadf57ba313d32d02f0a0d7ab
+size 218748
diff --git a/results/train/ellipse/problem_7355.png b/results/train/ellipse/problem_7355.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e641a6fa2bf46d0c4f23011fc2f9e9f4f0a0875
--- /dev/null
+++ b/results/train/ellipse/problem_7355.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:598073fc0136ae978e5831cb7ae196eab79a5c1c769100e52860d305f6555035
+size 215176
diff --git a/results/train/ellipse/problem_7357.png b/results/train/ellipse/problem_7357.png
new file mode 100644
index 0000000000000000000000000000000000000000..e921c9bbf6abfa6ee1e598fda03e9a89c9176c48
--- /dev/null
+++ b/results/train/ellipse/problem_7357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05e903b2c414bdfe66e785ac3f18004becf26e52b274628c4766106f566925cf
+size 193482
diff --git a/results/train/ellipse/problem_7366.png b/results/train/ellipse/problem_7366.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6a37d2206ad9ad5c8b7f1591d5c2abc4acbb730
--- /dev/null
+++ b/results/train/ellipse/problem_7366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c535e2a82c2c4ee0907acf290e8d6d113fbadf63ecc7eddf6189a0a2839f82a
+size 228676
diff --git a/results/train/ellipse/problem_7372.png b/results/train/ellipse/problem_7372.png
new file mode 100644
index 0000000000000000000000000000000000000000..8195a71b5c82d02ce565e7ae0502192630a0af9a
--- /dev/null
+++ b/results/train/ellipse/problem_7372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:befe2e2d5fe202c66661dd55a149d71f9d535699d07df70d2f8696cea176e155
+size 231683
diff --git a/results/train/ellipse/problem_7378.png b/results/train/ellipse/problem_7378.png
new file mode 100644
index 0000000000000000000000000000000000000000..7808f65d60a849289f79260a07d9aff0973fa0a1
--- /dev/null
+++ b/results/train/ellipse/problem_7378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88935024b736e5f62e4d3fe99174e8138d6187cb737211a99cc41d24d9e74530
+size 226437
diff --git a/results/train/ellipse/problem_7379.png b/results/train/ellipse/problem_7379.png
new file mode 100644
index 0000000000000000000000000000000000000000..957cd55325100d8166ca7ce693c474b04b6a2668
--- /dev/null
+++ b/results/train/ellipse/problem_7379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7c3fa6e98cd4a29f5e9fce4cc3cb2207147ea561cae93a39a893bbad65b4582
+size 225823
diff --git a/results/train/ellipse/problem_7382.png b/results/train/ellipse/problem_7382.png
new file mode 100644
index 0000000000000000000000000000000000000000..2385cefffb51bde63771c4d89791fbc7e06b9540
--- /dev/null
+++ b/results/train/ellipse/problem_7382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b701d9b51d04a9ba21f971709dfe69381297879ee1077e451173cb969753d056
+size 191005
diff --git a/results/train/ellipse/problem_7384.png b/results/train/ellipse/problem_7384.png
new file mode 100644
index 0000000000000000000000000000000000000000..17204fd430dfdafdc15fadfdf51eeec2a65d36d9
--- /dev/null
+++ b/results/train/ellipse/problem_7384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6562a9e1d537c4cd76dd6b7b4c4d728fe831d06f368a866bdde862ce01becfb
+size 205425
diff --git a/results/train/ellipse/problem_7386.png b/results/train/ellipse/problem_7386.png
new file mode 100644
index 0000000000000000000000000000000000000000..81b912b3a797c0f4055a3b527c77e45284d78762
--- /dev/null
+++ b/results/train/ellipse/problem_7386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:680a50cbf4bd684bc08427776642c5664feab9dee656506ec9fb5ddd8e0abd2c
+size 228789
diff --git a/results/train/ellipse/problem_7389.png b/results/train/ellipse/problem_7389.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2293a5a9073a290561dfe64ba8a2d43ae77e639
--- /dev/null
+++ b/results/train/ellipse/problem_7389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10e1c5027eb46c665250f224d0b26b96b2b0a671a42fc526c0500f2a1ab8440f
+size 223278
diff --git a/results/train/ellipse/problem_7393.png b/results/train/ellipse/problem_7393.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ac971dbeb400de193ce6cba077641802726cc2e
--- /dev/null
+++ b/results/train/ellipse/problem_7393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8fe9f731efab0479547dc7dd7e3571a3bf5bdfeb3a3ea2626f09a3d64fee2c2
+size 212034
diff --git a/results/train/ellipse/problem_7395.png b/results/train/ellipse/problem_7395.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfa8bcfbc69b6c06a3b89a63505f4c78df34969d
--- /dev/null
+++ b/results/train/ellipse/problem_7395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d42beac986f7d58fc5be1975d62600591f0b0a682e778ead9c3ca6f011848e40
+size 213305
diff --git a/results/train/ellipse/problem_7400.png b/results/train/ellipse/problem_7400.png
new file mode 100644
index 0000000000000000000000000000000000000000..12480ef21b4905a7bf482f36ddafd8de5cb1d445
--- /dev/null
+++ b/results/train/ellipse/problem_7400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:532239956d0c01c627cfd0f63c96aea8624faf2fefa3538a76d412f66527c49a
+size 228001
diff --git a/results/train/ellipse/problem_7402.png b/results/train/ellipse/problem_7402.png
new file mode 100644
index 0000000000000000000000000000000000000000..80ffed9923a166b14592050e5e8768c069e3054e
--- /dev/null
+++ b/results/train/ellipse/problem_7402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:073d5a105532e475a9e142ac6f59bee7c35ee9463bbf5ede999df064a0a3fe88
+size 279897
diff --git a/results/train/ellipse/problem_7421.png b/results/train/ellipse/problem_7421.png
new file mode 100644
index 0000000000000000000000000000000000000000..58ad02fb584cdfb383422e8e75ca1f0786971637
--- /dev/null
+++ b/results/train/ellipse/problem_7421.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9f8990739dc75d54f54f936690f4c64400525ee1eb4d12a3ef639da6af77b8b
+size 203533
diff --git a/results/train/ellipse/problem_7422.png b/results/train/ellipse/problem_7422.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc82db596db28670caeb3e8cd6b1d6e79f18c62b
--- /dev/null
+++ b/results/train/ellipse/problem_7422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01c51ca9f596a0e3a1f234550e322c6ae45f19a9d2d3fc8030930d7c77491d29
+size 233201
diff --git a/results/train/ellipse/problem_7425.png b/results/train/ellipse/problem_7425.png
new file mode 100644
index 0000000000000000000000000000000000000000..22435db7f5aab1e2597a59a33adf615ec43a90b1
--- /dev/null
+++ b/results/train/ellipse/problem_7425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7be2ddb2e79e2178dde9d2621dcf8719091434c7eb6221708cfebb1f7ea5300e
+size 220711
diff --git a/results/train/ellipse/problem_7426.png b/results/train/ellipse/problem_7426.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffd004dcaa87e370e8fabf3a7a7f4aba04c4bc75
--- /dev/null
+++ b/results/train/ellipse/problem_7426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9af9dbae583a6e68e769675e06e3324d4d5e5e7c440ba294519ddc643b7a0a75
+size 227014
diff --git a/results/train/ellipse/problem_7433.png b/results/train/ellipse/problem_7433.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f2456641566f9e8c529d86da80fa98dd6272bc2
--- /dev/null
+++ b/results/train/ellipse/problem_7433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f0786630d36b9014241ddb4ae824292e619af8d3d9d22656730b8f0fc6fe34b
+size 198870
diff --git a/results/train/ellipse/problem_7438.png b/results/train/ellipse/problem_7438.png
new file mode 100644
index 0000000000000000000000000000000000000000..841f934fef2b37a83cadb268d565ffa74bb18536
--- /dev/null
+++ b/results/train/ellipse/problem_7438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8b9bec8455b64453330da51cd49782d99cdc74ee92f5faaa26860ef7269cc95
+size 206215
diff --git a/results/train/ellipse/problem_7439.png b/results/train/ellipse/problem_7439.png
new file mode 100644
index 0000000000000000000000000000000000000000..8eb67484f2a6bb49979844f67478fb34b5878718
--- /dev/null
+++ b/results/train/ellipse/problem_7439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83874787e074f0be6d28372d57422c5745b6ac32f8148c2081287fb5e3e8f99a
+size 215310
diff --git a/results/train/ellipse/problem_7441.png b/results/train/ellipse/problem_7441.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e335cedf445a536ef776b17b2b5ad715ed69e23
--- /dev/null
+++ b/results/train/ellipse/problem_7441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c478e284b38142a4073605f6b134a0eee6969dd207b5a7f9dd678746f397a25
+size 217798
diff --git a/results/train/ellipse/problem_7443.png b/results/train/ellipse/problem_7443.png
new file mode 100644
index 0000000000000000000000000000000000000000..be77dae52e21e59f675a0e91be88cb36cfdc646f
--- /dev/null
+++ b/results/train/ellipse/problem_7443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab64b078b6c3a911108f67d4c8598d780daf88d9523b2d29f897fd7d51584339
+size 222874
diff --git a/results/train/ellipse/problem_7444.png b/results/train/ellipse/problem_7444.png
new file mode 100644
index 0000000000000000000000000000000000000000..aaa00662b52d2beb86689b556869fd50a1ccd51a
--- /dev/null
+++ b/results/train/ellipse/problem_7444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd6317169c98e11b8dd1e4d1ca6875a29a0eb944e03868cfac5cfcd5e9312ab0
+size 233685
diff --git a/results/train/ellipse/problem_7448.png b/results/train/ellipse/problem_7448.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ff8be881e5107113e99a6be1c3e92e1109626e4
--- /dev/null
+++ b/results/train/ellipse/problem_7448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e04477d4dd41849dd47723d83f22f86a125aac2de4e5b9a04434fbed2f2658c7
+size 226427
diff --git a/results/train/ellipse/problem_7449.png b/results/train/ellipse/problem_7449.png
new file mode 100644
index 0000000000000000000000000000000000000000..61052a0ee13d79caa4d08b78d52066722012a038
--- /dev/null
+++ b/results/train/ellipse/problem_7449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04cbd621e3c50ed4451b13d2560582b98571f59766c1e33fe7199dc7fd69174e
+size 221127
diff --git a/results/train/ellipse/problem_7451.png b/results/train/ellipse/problem_7451.png
new file mode 100644
index 0000000000000000000000000000000000000000..d69bd8291bcfed56172af52c8de83f47a25c457f
--- /dev/null
+++ b/results/train/ellipse/problem_7451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2cec4b5b48d5b4251ae6e4bab33e3002d982cfcfbbe9449fdd0cd68bc10a1d4
+size 228054
diff --git a/results/train/ellipse/problem_7452.png b/results/train/ellipse/problem_7452.png
new file mode 100644
index 0000000000000000000000000000000000000000..df51859f9822a9f0472d9015f34fd901471e6876
--- /dev/null
+++ b/results/train/ellipse/problem_7452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a4f033f0e22cffe20ef4263f6102eeac39753f10311762e0c8a69c3fdf2e65d
+size 192185
diff --git a/results/train/ellipse/problem_7462.png b/results/train/ellipse/problem_7462.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd30ecc8cf069582df8424dfe2363f56bf002289
--- /dev/null
+++ b/results/train/ellipse/problem_7462.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d0f2367014678c44905a8d8205dbf6d8fbde3bcf4b817a5a12631fae111fe6b
+size 205449
diff --git a/results/train/ellipse/problem_7470.png b/results/train/ellipse/problem_7470.png
new file mode 100644
index 0000000000000000000000000000000000000000..38e5d172f65cc9495dcaac0ad641e4a9bf2e8bc0
--- /dev/null
+++ b/results/train/ellipse/problem_7470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdc034ea4eb7a5c0d4c5da5543cbd2223c9a3d71acad43a0e24e39eae88c49ae
+size 210748
diff --git a/results/train/ellipse/problem_7471.png b/results/train/ellipse/problem_7471.png
new file mode 100644
index 0000000000000000000000000000000000000000..14f23a2eca61a3bd28d909ad477e9979c25f1b90
--- /dev/null
+++ b/results/train/ellipse/problem_7471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0534e145ce712d68964d159b9d3cdd69deffcfaf1c50ec1ae9f801f10458252
+size 203822
diff --git a/results/train/ellipse/problem_7482.png b/results/train/ellipse/problem_7482.png
new file mode 100644
index 0000000000000000000000000000000000000000..efb0dd3425d8bf558be210fe36900695529d9798
--- /dev/null
+++ b/results/train/ellipse/problem_7482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:809ce766e9aa45c509e151bdf7b437611f39aed0b8dedd819aad973afb5fb4e3
+size 225673
diff --git a/results/train/ellipse/problem_7487.png b/results/train/ellipse/problem_7487.png
new file mode 100644
index 0000000000000000000000000000000000000000..49560dee08ca703e07a71a1425f7888df95785af
--- /dev/null
+++ b/results/train/ellipse/problem_7487.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de29d44c9e7e189367ad9e176853b446a0296112f57be70e087fc77d09ce8cfb
+size 202346
diff --git a/results/train/ellipse/problem_7490.png b/results/train/ellipse/problem_7490.png
new file mode 100644
index 0000000000000000000000000000000000000000..41e28eb84d5f85d8bdfa02978145fa9ac817d966
--- /dev/null
+++ b/results/train/ellipse/problem_7490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:770d1c304b0e360a66bcaef47f183ce3a0ab09f474a979ae38a05338e1f18f09
+size 222997
diff --git a/results/train/ellipse/problem_7496.png b/results/train/ellipse/problem_7496.png
new file mode 100644
index 0000000000000000000000000000000000000000..58a43c6f62d33e79a11ccaa37aa4a06e71b0e602
--- /dev/null
+++ b/results/train/ellipse/problem_7496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4305cd3dad48d62315ecf6722157ef6fb586a4ccff2095d29a8eb9e11134c29d
+size 218034
diff --git a/results/train/ellipse/problem_7508.png b/results/train/ellipse/problem_7508.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a453e588f428ab63aec5f171b536821626f06c6
--- /dev/null
+++ b/results/train/ellipse/problem_7508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa7653b404442d5caee019056be728862820dfae3da13dfcf39c38ea25e84bca
+size 220138
diff --git a/results/train/ellipse/problem_7510.png b/results/train/ellipse/problem_7510.png
new file mode 100644
index 0000000000000000000000000000000000000000..74b7b35d9b590ed79dc3dfe9c634bd8725108639
--- /dev/null
+++ b/results/train/ellipse/problem_7510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b854721c73b138191ec474693d6a384f736c23674125fc5c12a572f93472c952
+size 208534
diff --git a/results/train/ellipse/problem_7512.png b/results/train/ellipse/problem_7512.png
new file mode 100644
index 0000000000000000000000000000000000000000..489140e07799abe8b99c4668bebd647e9415834c
--- /dev/null
+++ b/results/train/ellipse/problem_7512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09816a8722613f6f0132bcf0741c9e69e2dd9f5fb496364aceb5c9ec45e6e8fe
+size 222945
diff --git a/results/train/ellipse/problem_7513.png b/results/train/ellipse/problem_7513.png
new file mode 100644
index 0000000000000000000000000000000000000000..34e26b91d9aa157f0a79ef5edf6e150465cc0003
--- /dev/null
+++ b/results/train/ellipse/problem_7513.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46a6692edf2ec888abad6c29cc1e5d0d7d9bb08d221c0946dca2e663f9bc4d0a
+size 240351
diff --git a/results/train/ellipse/problem_7514.png b/results/train/ellipse/problem_7514.png
new file mode 100644
index 0000000000000000000000000000000000000000..e03904676740c5e4be36dd99ea354a171f392dea
--- /dev/null
+++ b/results/train/ellipse/problem_7514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6a31a5eb5cf8a0192709f9c919e86b8246ddb31ee141b33cef8cb034ff07cf5
+size 217607
diff --git a/results/train/ellipse/problem_7516.png b/results/train/ellipse/problem_7516.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ac41c16b13b76878f364b6a993d78006cb4693b
--- /dev/null
+++ b/results/train/ellipse/problem_7516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a26a80aae6c7fbafc3f3145d5aa65ddec8db9a5cc05a6a611e890952edd4847
+size 192559
diff --git a/results/train/ellipse/problem_7520.png b/results/train/ellipse/problem_7520.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7f31f66e17aeacd3b2d05c08a303565b31a8621
--- /dev/null
+++ b/results/train/ellipse/problem_7520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec3e187be031d4b6ed60fb6c491b1574319ac12f4a071f5e696636c8a0e101ec
+size 232011
diff --git a/results/train/ellipse/problem_7521.png b/results/train/ellipse/problem_7521.png
new file mode 100644
index 0000000000000000000000000000000000000000..05171400564d26077db5abc29bac0caf40f18c73
--- /dev/null
+++ b/results/train/ellipse/problem_7521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd385a2d63e448ea886aa22b46996a8f78c46b5e40d71080ac58afabc6c76928
+size 229908
diff --git a/results/train/ellipse/problem_7527.png b/results/train/ellipse/problem_7527.png
new file mode 100644
index 0000000000000000000000000000000000000000..46ba8ea80117631a7e1b1cdbbba5df3e532c8c67
--- /dev/null
+++ b/results/train/ellipse/problem_7527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a594cec0e96ed0894b5049f318dfef2ed0f2df11a945433b541613566c5196ad
+size 232026
diff --git a/results/train/ellipse/problem_7533.png b/results/train/ellipse/problem_7533.png
new file mode 100644
index 0000000000000000000000000000000000000000..bae37a333b64aa7279795ffac978fe5f7b38cb6a
--- /dev/null
+++ b/results/train/ellipse/problem_7533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:939fb2352e630f8f6c61053d83797a7e47ae89f1be64dc1761d34c34ecb2e9d1
+size 240608
diff --git a/results/train/ellipse/problem_7535.png b/results/train/ellipse/problem_7535.png
new file mode 100644
index 0000000000000000000000000000000000000000..9aa6303f935e29df15c37792034495e7963cd52a
--- /dev/null
+++ b/results/train/ellipse/problem_7535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c8b69dba91f48b6c18d1559e48f1391ab5936b7bf3e8771983fc727c95bb436
+size 212440
diff --git a/results/train/ellipse/problem_7545.png b/results/train/ellipse/problem_7545.png
new file mode 100644
index 0000000000000000000000000000000000000000..74a4e5530621a60cfea0b4a0dc15edc989b57603
--- /dev/null
+++ b/results/train/ellipse/problem_7545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c5b0e54569119ecf3829634fc6d487f6368306b1dce3ca2747c28c6bc1ccdd0
+size 221667
diff --git a/results/train/ellipse/problem_7548.png b/results/train/ellipse/problem_7548.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9bad6abeef7d92deb0699aa7cecc61bf8e0e1f8
--- /dev/null
+++ b/results/train/ellipse/problem_7548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1127e7933105a9ae1cf56f4bd0b22325a0b1b7b2aaeda73c1192161a4b66304f
+size 211375
diff --git a/results/train/ellipse/problem_7551.png b/results/train/ellipse/problem_7551.png
new file mode 100644
index 0000000000000000000000000000000000000000..1caf8f440b29ac3ec50886f77922c51a3cb6024e
--- /dev/null
+++ b/results/train/ellipse/problem_7551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:539823c85a1d36dcbc6ced52d8bba38b5ca342b9f16e5effb4c9a34b3c2054f1
+size 191051
diff --git a/results/train/ellipse/problem_7552.png b/results/train/ellipse/problem_7552.png
new file mode 100644
index 0000000000000000000000000000000000000000..a73d290da48cb04a8adac1bf864c8bb0702149ab
--- /dev/null
+++ b/results/train/ellipse/problem_7552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c42090d072c708ea034028195b5a31ea768371ba928f8a6a82e3f3f722521640
+size 219835
diff --git a/results/train/ellipse/problem_7553.png b/results/train/ellipse/problem_7553.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc2e38f445db8cd1e06c7cbc9f91823f7f90cba4
--- /dev/null
+++ b/results/train/ellipse/problem_7553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9f174e90997ab0977617035a2620dbaa800570a8dfc4f1e82da0248579b2f7c
+size 236602
diff --git a/results/train/ellipse/problem_7558.png b/results/train/ellipse/problem_7558.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cfd9dadbe732462317b5882142e9f2748fc2b30
--- /dev/null
+++ b/results/train/ellipse/problem_7558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63a46d1cf1afb151007ff08eb00f79120ed7dbcfe423642400868a938e9af59c
+size 222971
diff --git a/results/train/ellipse/problem_7559.png b/results/train/ellipse/problem_7559.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8739f4b1cd7812228c99451d4724da7395efd29
--- /dev/null
+++ b/results/train/ellipse/problem_7559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3da010dcedcaf85e565eac658d9b0df0452199469d49e7579414f27fea4bc1d
+size 226867
diff --git a/results/train/ellipse/problem_7561.png b/results/train/ellipse/problem_7561.png
new file mode 100644
index 0000000000000000000000000000000000000000..09644840b0c267bd1fc561c2e1c9cdc4ec81e733
--- /dev/null
+++ b/results/train/ellipse/problem_7561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e1b003dc3eec79e08494aff821800e2e113304caffb8234f1143afe07b9b084
+size 222562
diff --git a/results/train/ellipse/problem_7562.png b/results/train/ellipse/problem_7562.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f5f5e0cc51f1977f2c2ef83226b711b4a1915a4
--- /dev/null
+++ b/results/train/ellipse/problem_7562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c362c99e7668b3ff13a314076dac4053d52eb890186fdf6e1a62d2240703fc3
+size 230559
diff --git a/results/train/ellipse/problem_7563.png b/results/train/ellipse/problem_7563.png
new file mode 100644
index 0000000000000000000000000000000000000000..e71bf93ccbb1aef59ce934557afaa8e025ab79c5
--- /dev/null
+++ b/results/train/ellipse/problem_7563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f0944ca6d425ba4e6d3c0233d23660c336a4d213f110867ff069a110d1bed65
+size 193289
diff --git a/results/train/ellipse/problem_7564.png b/results/train/ellipse/problem_7564.png
new file mode 100644
index 0000000000000000000000000000000000000000..48e480900eadcea1621983c8646492479cf1ad0e
--- /dev/null
+++ b/results/train/ellipse/problem_7564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8af259e652cb910f2239f82d8144d3ae001dd310fa26dc951785a371b298fe0e
+size 221834
diff --git a/results/train/ellipse/problem_7569.png b/results/train/ellipse/problem_7569.png
new file mode 100644
index 0000000000000000000000000000000000000000..24b8509444c9944f40f08274e0d0ace30e2198a8
--- /dev/null
+++ b/results/train/ellipse/problem_7569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a9f8f1742fbbee1321338618f3f6599100013a7ee9c46da4f4602663cfb3815
+size 227661
diff --git a/results/train/ellipse/problem_7575.png b/results/train/ellipse/problem_7575.png
new file mode 100644
index 0000000000000000000000000000000000000000..84f3826ce310d96ea3308da072246bec973e86c0
--- /dev/null
+++ b/results/train/ellipse/problem_7575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a94ce2ff8534ae4d806e8a25977f8430ad62db74d0d87129509e52691ec950e9
+size 225561
diff --git a/results/train/ellipse/problem_7576.png b/results/train/ellipse/problem_7576.png
new file mode 100644
index 0000000000000000000000000000000000000000..312a0f6f2ad7351d068ab4c2f7d39ace14a300fa
--- /dev/null
+++ b/results/train/ellipse/problem_7576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a4c403005c9e522f9b514445dcb856d4589cbfce731890f735c5f02934ccff7
+size 197248
diff --git a/results/train/ellipse/problem_7577.png b/results/train/ellipse/problem_7577.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ee9056487ff49b8f306fd11c25ffbbc0e048258
--- /dev/null
+++ b/results/train/ellipse/problem_7577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:563b8d7780578641e25a76b94f0901f8fb4326014f23c32f542e841acd58e82f
+size 231057
diff --git a/results/train/ellipse/problem_7578.png b/results/train/ellipse/problem_7578.png
new file mode 100644
index 0000000000000000000000000000000000000000..6dcfd3227bdf893990d1bb894ac1e53d4772d2b5
--- /dev/null
+++ b/results/train/ellipse/problem_7578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bc4d07461763346fa40a086031d1e337d86aac6efb4261e6eff01a94e1f7b35
+size 237766
diff --git a/results/train/ellipse/problem_7580.png b/results/train/ellipse/problem_7580.png
new file mode 100644
index 0000000000000000000000000000000000000000..dff2c22ceafef5612499a6416de0e6db55a4920f
--- /dev/null
+++ b/results/train/ellipse/problem_7580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3073a460dcb894e7f29c4fa71c2264f679d8ad13aecad1ed9d5f0dbe7d174bb4
+size 199164
diff --git a/results/train/ellipse/problem_7591.png b/results/train/ellipse/problem_7591.png
new file mode 100644
index 0000000000000000000000000000000000000000..603661938b459abf9df8dfc2b4316c7c801d2612
--- /dev/null
+++ b/results/train/ellipse/problem_7591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b36d1f8e3cf198974f0b352a390718ea61b1b305c0f80da7f34d88132c4fe67d
+size 235210
diff --git a/results/train/ellipse/problem_7592.png b/results/train/ellipse/problem_7592.png
new file mode 100644
index 0000000000000000000000000000000000000000..695485cafd8207615c422ded2c82c80e3a6f3da1
--- /dev/null
+++ b/results/train/ellipse/problem_7592.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa77944b531f2becd306d948dfb6f63098d01072a1f26e7b6a03fb06a31a8a6e
+size 228166
diff --git a/results/train/ellipse/problem_7602.png b/results/train/ellipse/problem_7602.png
new file mode 100644
index 0000000000000000000000000000000000000000..fab23b0a5a23b98a462f3e77eba14fc415f273f0
--- /dev/null
+++ b/results/train/ellipse/problem_7602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d08307a1435c01c21f75f58f12863eaae9864baa82d07f6cce3582bd38fd301e
+size 213931
diff --git a/results/train/ellipse/problem_7605.png b/results/train/ellipse/problem_7605.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eb4eb779f12b9c0b265a18808cf1c03fa76573b
--- /dev/null
+++ b/results/train/ellipse/problem_7605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:182a62397e06fb3ca895793b470b4d2e671cfa1dcbd0170ca146f9c4761ad892
+size 226381
diff --git a/results/train/ellipse/problem_7609.png b/results/train/ellipse/problem_7609.png
new file mode 100644
index 0000000000000000000000000000000000000000..cde4831b70f8b20bd34451150c6ebb93e1f0582b
--- /dev/null
+++ b/results/train/ellipse/problem_7609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab125fd5c817240fc3cd06041b92cc699788e862c1267348da33f4180c58ae64
+size 219728
diff --git a/results/train/ellipse/problem_7611.png b/results/train/ellipse/problem_7611.png
new file mode 100644
index 0000000000000000000000000000000000000000..09b0695b89859f628cd9226951cb138973439a00
--- /dev/null
+++ b/results/train/ellipse/problem_7611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2535e9286e3944337f1e899ef763c67da33fc007de72010fe7d3d6e98c299cbd
+size 223740
diff --git a/results/train/ellipse/problem_7612.png b/results/train/ellipse/problem_7612.png
new file mode 100644
index 0000000000000000000000000000000000000000..9de115d5cb0a2b652f862f56cbb45eec4ddf0276
--- /dev/null
+++ b/results/train/ellipse/problem_7612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9f2c652eb8b46bedd46a529e94529f75a58c8f3dc94c2c9232a478121136132
+size 213896
diff --git a/results/train/ellipse/problem_7623.png b/results/train/ellipse/problem_7623.png
new file mode 100644
index 0000000000000000000000000000000000000000..66a162fedd99e5497c0afff4e5cdcb1ba277dd53
--- /dev/null
+++ b/results/train/ellipse/problem_7623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b99c5cb3840a8c18d2538f2b00ede42d38d1617ef705e5e35b352cac965a39dd
+size 228018
diff --git a/results/train/ellipse/problem_7624.png b/results/train/ellipse/problem_7624.png
new file mode 100644
index 0000000000000000000000000000000000000000..24928da6e175dee2a03bb6f6ae8f00b8f06b1ce4
--- /dev/null
+++ b/results/train/ellipse/problem_7624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0060da96eb68be946a3b1f93492e46ce648cf69803cc9a19d5f1b64cb2bb6392
+size 230061
diff --git a/results/train/ellipse/problem_7631.png b/results/train/ellipse/problem_7631.png
new file mode 100644
index 0000000000000000000000000000000000000000..8214124de8eea8a415dcaa81d3cbeab289f931b4
--- /dev/null
+++ b/results/train/ellipse/problem_7631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e49c68438325f4f62e483b1909fa83ded89fa053b12328bb0c3441919a4f7b36
+size 186256
diff --git a/results/train/ellipse/problem_7640.png b/results/train/ellipse/problem_7640.png
new file mode 100644
index 0000000000000000000000000000000000000000..5491bd2a71b0d46ea3278b250aa742800f68ed1f
--- /dev/null
+++ b/results/train/ellipse/problem_7640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b02e67c3cad41084ead68a5d45d2f7fcf14c514781ed23088f7e631460f785a7
+size 231200
diff --git a/results/train/ellipse/problem_7641.png b/results/train/ellipse/problem_7641.png
new file mode 100644
index 0000000000000000000000000000000000000000..79ec81259c8717dcad149e87177c1cc7d0dc5e9a
--- /dev/null
+++ b/results/train/ellipse/problem_7641.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b214fea86cf46b8fcdfe52802ed0a130f2f87fd1ee5218c4543e57164db6c34
+size 250417
diff --git a/results/train/ellipse/problem_7642.png b/results/train/ellipse/problem_7642.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ec9a3df7229ce06356e024b84b42b6d201ed55b
--- /dev/null
+++ b/results/train/ellipse/problem_7642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1287cd5f1ce0efdd2aa5644116e0b1c1200035b6459bc25da293b0fd3d081f8
+size 246434
diff --git a/results/train/ellipse/problem_7643.png b/results/train/ellipse/problem_7643.png
new file mode 100644
index 0000000000000000000000000000000000000000..8327359176aa552cd86118ab97b73e23dffeb5cb
--- /dev/null
+++ b/results/train/ellipse/problem_7643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf15c6fd9fe3d874459831fe133847f225ff88dfb2afa17a780027c18c83c50e
+size 219164
diff --git a/results/train/ellipse/problem_7646.png b/results/train/ellipse/problem_7646.png
new file mode 100644
index 0000000000000000000000000000000000000000..7312809b2e1130fb8d4d70f70c556d163ea0b29e
--- /dev/null
+++ b/results/train/ellipse/problem_7646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6b01cd5343bdfa111874d165a115e6de6cb30a0fc1684cbfb9e56c9ce7529e3
+size 227967
diff --git a/results/train/ellipse/problem_7647.png b/results/train/ellipse/problem_7647.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fc6f550beb29b5115660521a846555d9f775354
--- /dev/null
+++ b/results/train/ellipse/problem_7647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d06cb03107aeb8a32cef84a7873fbc269a16c01cf09035c0856697eb0f45615b
+size 225831
diff --git a/results/train/ellipse/problem_7656.png b/results/train/ellipse/problem_7656.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b5b63b13583607b232f7ed448ebf02672529f9f
--- /dev/null
+++ b/results/train/ellipse/problem_7656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef6e4297f38973af05f3959829d2e39beae61b435124a54ee3374a52a44adea7
+size 237006
diff --git a/results/train/ellipse/problem_7658.png b/results/train/ellipse/problem_7658.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d24330c3f4fe46096d414a3b0e25a691e4f38b5
--- /dev/null
+++ b/results/train/ellipse/problem_7658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ded2ca91abe12e4c14e55684371c1db60dd6dae540f6bcb99c14a9043ef86ca8
+size 224531
diff --git a/results/train/ellipse/problem_7661.png b/results/train/ellipse/problem_7661.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0ca870ab254f61fdc23358e978b1bfc5d99ad02
--- /dev/null
+++ b/results/train/ellipse/problem_7661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28de2b4c4aca2d3fc49fe7361c40fc0e4e30df474e42177ad18c74763292f62a
+size 197345
diff --git a/results/train/ellipse/problem_7668.png b/results/train/ellipse/problem_7668.png
new file mode 100644
index 0000000000000000000000000000000000000000..48825d0dca2d5df226bf8fb440f3be56389158f0
--- /dev/null
+++ b/results/train/ellipse/problem_7668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2f399a73ee718d7746f2d5f4cd925bf5d6e2c6f37ad1cd8dac2e4c3acfd4734
+size 220139
diff --git a/results/train/ellipse/problem_7675.png b/results/train/ellipse/problem_7675.png
new file mode 100644
index 0000000000000000000000000000000000000000..46c4df23d399c9b61146c55eb9a0fda4191d478b
--- /dev/null
+++ b/results/train/ellipse/problem_7675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bfcf0f841bc379e7562c728a48f8682fa8595d9c0d3912d2f425faeea1747a3
+size 219442
diff --git a/results/train/ellipse/problem_7676.png b/results/train/ellipse/problem_7676.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ad476949b249e88fc4a3d28b7cc65bc27e9ee9d
--- /dev/null
+++ b/results/train/ellipse/problem_7676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b60f338617a7ef9cf686c1df9073da1dcbcec86101502c2b0014dae16a16ca02
+size 224267
diff --git a/results/train/ellipse/problem_7678.png b/results/train/ellipse/problem_7678.png
new file mode 100644
index 0000000000000000000000000000000000000000..d37bd4d3a8825f22784af25b444eaeb67ed30ea1
--- /dev/null
+++ b/results/train/ellipse/problem_7678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:114a98834dab9f1d1af07732e8fbe0cddb3eb3fd2da960651bf2ce2c42a449bd
+size 216859
diff --git a/results/train/ellipse/problem_7688.png b/results/train/ellipse/problem_7688.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d309b7ab9ca1dc7dd1dd151b36241797441a8bf
--- /dev/null
+++ b/results/train/ellipse/problem_7688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9da48fac66fb31260b5605652a08ca05fad80b0c3c3141bd33631250983ff0e
+size 228333
diff --git a/results/train/ellipse/problem_7692.png b/results/train/ellipse/problem_7692.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb2f08e3c9eed934521a2457f8becc5e439814ad
--- /dev/null
+++ b/results/train/ellipse/problem_7692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee0cd35325f1b99711499422478c08a186e7c9dc87645af91f34e08a243aace1
+size 238701
diff --git a/results/train/ellipse/problem_7697.png b/results/train/ellipse/problem_7697.png
new file mode 100644
index 0000000000000000000000000000000000000000..4abec733e84671df70a88b85e63c5fe5503d0d19
--- /dev/null
+++ b/results/train/ellipse/problem_7697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a1f2f8fe6ef278ff91545c6ac3b97b95099bd62e8d28eef548cdcd2399fbf0a
+size 219766
diff --git a/results/train/ellipse/problem_7701.png b/results/train/ellipse/problem_7701.png
new file mode 100644
index 0000000000000000000000000000000000000000..a54539e1a99043fc23c461dbae948d23e6fa1a22
--- /dev/null
+++ b/results/train/ellipse/problem_7701.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad98791f2262b67c788632c79786564a18891c3bb899848fab24ddf7d8d99c43
+size 217387
diff --git a/results/train/ellipse/problem_7703.png b/results/train/ellipse/problem_7703.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ea4fc6e87365810c5fb94edcf53ad4b5bb0bc10
--- /dev/null
+++ b/results/train/ellipse/problem_7703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14efb1ac08bd10cf45f59a9ee46f04d1f74cc862339cfaa9dc7435ed254bbb9b
+size 214680
diff --git a/results/train/ellipse/problem_7704.png b/results/train/ellipse/problem_7704.png
new file mode 100644
index 0000000000000000000000000000000000000000..98f70152fd4e607bce9076eedddf45601f01a41f
--- /dev/null
+++ b/results/train/ellipse/problem_7704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d585350a3e45625176e10998a23fd72c7e2a179da20ae91ca1262a35b8fe7c1
+size 222361
diff --git a/results/train/ellipse/problem_7706.png b/results/train/ellipse/problem_7706.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d340a4791078737ebcc820c9e2251d8bc3f8896
--- /dev/null
+++ b/results/train/ellipse/problem_7706.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83bbdf234e9f3bc107566d801b9236621b2e7df12d85b1f38821ea0fa9b4548a
+size 223785
diff --git a/results/train/ellipse/problem_7712.png b/results/train/ellipse/problem_7712.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfb616ea2644cea949f0fbc8ba1a5b41b7b06481
--- /dev/null
+++ b/results/train/ellipse/problem_7712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:966b22003d13a6f4a8b51f596f68146f55e65627a333401d23259216e290f9f1
+size 235177
diff --git a/results/train/ellipse/problem_7715.png b/results/train/ellipse/problem_7715.png
new file mode 100644
index 0000000000000000000000000000000000000000..acd03c98901be88f407de25e4510265043b4b367
--- /dev/null
+++ b/results/train/ellipse/problem_7715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7125fcf2da55cedf79a2fbd8e6dff50ad15cb27b126e285b62bffbf382779c9f
+size 224648
diff --git a/results/train/ellipse/problem_7719.png b/results/train/ellipse/problem_7719.png
new file mode 100644
index 0000000000000000000000000000000000000000..d155990e1092a892ac2fc638fac7893b530f3dbb
--- /dev/null
+++ b/results/train/ellipse/problem_7719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6d566e4a0a324771fdf7bd4822f26918e4094212ba370c9f8112d7fcdc29072
+size 218620
diff --git a/results/train/ellipse/problem_7726.png b/results/train/ellipse/problem_7726.png
new file mode 100644
index 0000000000000000000000000000000000000000..e06339959882a3d1ff5ce2750d61c7a5ba23cc4f
--- /dev/null
+++ b/results/train/ellipse/problem_7726.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c5f1126353d12ee1ecb601c61efd1382290a77e8d9f354854c14e48161b6a79
+size 220499
diff --git a/results/train/ellipse/problem_7729.png b/results/train/ellipse/problem_7729.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b69b4a3d1ebcd4c8fa8bac34ad772d7a1f9a686
--- /dev/null
+++ b/results/train/ellipse/problem_7729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80853baea1e6f0f0962b3e1a59569a2a8da7ac22f7a0a2c2ac09fd65c0658ecf
+size 230754
diff --git a/results/train/ellipse/problem_7735.png b/results/train/ellipse/problem_7735.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd700a0b5ceb2990d0bf09361a5c199ce1d8b2b8
--- /dev/null
+++ b/results/train/ellipse/problem_7735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c01134575f5599a01d9bc2333a4538a8dfeb7abbed5ec6fecaadd6662189350a
+size 218750
diff --git a/results/train/ellipse/problem_7741.png b/results/train/ellipse/problem_7741.png
new file mode 100644
index 0000000000000000000000000000000000000000..a68a4d31151e7241ab0179485ce428e014c8a7eb
--- /dev/null
+++ b/results/train/ellipse/problem_7741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88147322573b862a475cef8ac0aec7b31b501628447f774fb18ffbd10c53180d
+size 225331
diff --git a/results/train/ellipse/problem_7743.png b/results/train/ellipse/problem_7743.png
new file mode 100644
index 0000000000000000000000000000000000000000..caa92840c4c342cf917df37d107c902ea741add8
--- /dev/null
+++ b/results/train/ellipse/problem_7743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fae8d002bbb60cff1e0b6d411a6d1a9f963b56e6c5c41bbe4849b38a5e87d76
+size 243092
diff --git a/results/train/ellipse/problem_7749.png b/results/train/ellipse/problem_7749.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc3c1b072cc5d28c9c6057ad91578761bfabd667
--- /dev/null
+++ b/results/train/ellipse/problem_7749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ead7e00ca20e67843a75702e8c108ee33090876edb025cfd4f35b2a62ea3fa62
+size 201977
diff --git a/results/train/ellipse/problem_7753.png b/results/train/ellipse/problem_7753.png
new file mode 100644
index 0000000000000000000000000000000000000000..904c59874c8f2a3d17bc8a9bf05bbd757fa18a2f
--- /dev/null
+++ b/results/train/ellipse/problem_7753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8b655369be558d852e72965fe5a3c3a231295c1026fdef3dc679955048f5f87
+size 182393
diff --git a/results/train/hyperbola/problem_0001.png b/results/train/hyperbola/problem_0001.png
new file mode 100644
index 0000000000000000000000000000000000000000..080a715d43b7b935e0d2f59c092b4d3b21be3c97
--- /dev/null
+++ b/results/train/hyperbola/problem_0001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0c53d773ffe4ddf1dd9700165caa21ee59f935ebcccc41869f80fb1fcda2c50
+size 253202
diff --git a/results/train/hyperbola/problem_0002.png b/results/train/hyperbola/problem_0002.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd4037412a508552ac695d1561c0f7e7f432a73a
--- /dev/null
+++ b/results/train/hyperbola/problem_0002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:644093a09a39f3c941e07e95a826d52fbe903a556458ffa54db10e5c0238d68f
+size 261296
diff --git a/results/train/hyperbola/problem_0003.png b/results/train/hyperbola/problem_0003.png
new file mode 100644
index 0000000000000000000000000000000000000000..a146839d008d83e05105a6da1c7bb96fa694cc9a
--- /dev/null
+++ b/results/train/hyperbola/problem_0003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfc68625b156fa84fb0d7a060ee43135ddf95ec38eba9fed7f746c8e762a1cb2
+size 265914
diff --git a/results/train/hyperbola/problem_0005.png b/results/train/hyperbola/problem_0005.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8f57b488e8682f627f9583ee7c76236907a7bef
--- /dev/null
+++ b/results/train/hyperbola/problem_0005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af520d0d7c2cc742d254a7a50529dc7497e6ed2799ee94b0a429ea3e48854cc3
+size 262562
diff --git a/results/train/hyperbola/problem_0008.png b/results/train/hyperbola/problem_0008.png
new file mode 100644
index 0000000000000000000000000000000000000000..f721bcff239aed1f91e9497c3e0e1ac7a5a8cc23
--- /dev/null
+++ b/results/train/hyperbola/problem_0008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e024f70c933d4d1f611f824cc270d77b3949a4d453834f851aea84bf9eaf2d6
+size 308952
diff --git a/results/train/hyperbola/problem_0012.png b/results/train/hyperbola/problem_0012.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f9adbba054117da2d79a76026d02522f46da5e0
--- /dev/null
+++ b/results/train/hyperbola/problem_0012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b80cf22798c8ebb28d5072d6ece269a2939ae81aad8ae52b3c18dd5d09da41c
+size 273798
diff --git a/results/train/hyperbola/problem_0013.png b/results/train/hyperbola/problem_0013.png
new file mode 100644
index 0000000000000000000000000000000000000000..476725a541bc20bbcf500d3d6d4fc2d80c644ad7
--- /dev/null
+++ b/results/train/hyperbola/problem_0013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfc63db307d643c092a59e5e0119cac76e82c1a2124588772706f2cee6025eff
+size 269506
diff --git a/results/train/hyperbola/problem_0014.png b/results/train/hyperbola/problem_0014.png
new file mode 100644
index 0000000000000000000000000000000000000000..18cd2eb201dc1fcddf9649a57616fd93195728ac
--- /dev/null
+++ b/results/train/hyperbola/problem_0014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7636f8abd75a1c38c465946c9e3b88c23b94e42195ecfc09658255bfeb60e89
+size 262466
diff --git a/results/train/hyperbola/problem_0015.png b/results/train/hyperbola/problem_0015.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c0986d1b99e59a9db36aea4d0541ab535599656
--- /dev/null
+++ b/results/train/hyperbola/problem_0015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba8fdb5e0d7ed6d2c7007f98b5a30a811f49880f1a8001cca9989b4eb493c773
+size 268965
diff --git a/results/train/hyperbola/problem_0020.png b/results/train/hyperbola/problem_0020.png
new file mode 100644
index 0000000000000000000000000000000000000000..17ca26f90743edff516990d5f34807d8f1d2bbe7
--- /dev/null
+++ b/results/train/hyperbola/problem_0020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47713a9b1975dd0968ccd22780217f66ad79260e30a38ab83e7450e344f839a3
+size 238955
diff --git a/results/train/hyperbola/problem_0022.png b/results/train/hyperbola/problem_0022.png
new file mode 100644
index 0000000000000000000000000000000000000000..2625dd8348109e9c319f24603227c98438f931e4
--- /dev/null
+++ b/results/train/hyperbola/problem_0022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a481a862d2847de4a016f1cd06679d6dfea2b035c49c3bfd0d325c95092172d8
+size 247896
diff --git a/results/train/hyperbola/problem_0023.png b/results/train/hyperbola/problem_0023.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fcfb3b7cd64f40b3c657ee3856672fe59192f1f
--- /dev/null
+++ b/results/train/hyperbola/problem_0023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9a2fc8ebc73674957f7afbcf1128aa100672530ec752f45b2c0e5eb7f195308
+size 259263
diff --git a/results/train/hyperbola/problem_0026.png b/results/train/hyperbola/problem_0026.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd8fdf7742ffbc90e5e45b6df7d24eeedfc43b5d
--- /dev/null
+++ b/results/train/hyperbola/problem_0026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1840f74150a6aa5ea40cf48f4967cc01d4b58fa6d29792fb8c13195e88548ef
+size 268184
diff --git a/results/train/hyperbola/problem_0027.png b/results/train/hyperbola/problem_0027.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fc7525b5087794f014e3e7f99b1c6f9f4a1f1d4
--- /dev/null
+++ b/results/train/hyperbola/problem_0027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1b90abdfdf52986d79a87b355bd7cbee9c3e8ad2205f3f40ecfa93720531b1a
+size 268207
diff --git a/results/train/hyperbola/problem_0031.png b/results/train/hyperbola/problem_0031.png
new file mode 100644
index 0000000000000000000000000000000000000000..61c8424e7a0aa84890fac5191f6447ab7ff614ea
--- /dev/null
+++ b/results/train/hyperbola/problem_0031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a00137c253f4c4c6a30205b1a7feb0a99c9eeb6f9f7f3bc309ddc6f9fbe4cc9
+size 251612
diff --git a/results/train/hyperbola/problem_0032.png b/results/train/hyperbola/problem_0032.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2912929be40b54dc12e6e63473e4ad5f98231e0
--- /dev/null
+++ b/results/train/hyperbola/problem_0032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:baffdb518667a8f419812beb8dd073af5e8323e1ebd49eea5fe1cdfd7d014183
+size 265905
diff --git a/results/train/hyperbola/problem_0035.png b/results/train/hyperbola/problem_0035.png
new file mode 100644
index 0000000000000000000000000000000000000000..89cd9fb6974452a27aec364835161415d97daf9d
--- /dev/null
+++ b/results/train/hyperbola/problem_0035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:993a0bad3976d4ebcb5d7878a1ebab137b5f00cb96accb0fb3dc106b2ab24e48
+size 239070
diff --git a/results/train/hyperbola/problem_0036.png b/results/train/hyperbola/problem_0036.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d5da107c60ae6d750cfd0787a6bbe766dbd4065
--- /dev/null
+++ b/results/train/hyperbola/problem_0036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76f434c800754d895aec262f2ea024dec5cd8d85787c6208122188beab7e082b
+size 287997
diff --git a/results/train/hyperbola/problem_0041.png b/results/train/hyperbola/problem_0041.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f22e4ca63aa27f5bd8e9f6b2a7bb0955082e835
--- /dev/null
+++ b/results/train/hyperbola/problem_0041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e0f754b1cffc6932352d61d113773246f5a3ca691af0105b74b7640e00b2711
+size 273747
diff --git a/results/train/hyperbola/problem_0043.png b/results/train/hyperbola/problem_0043.png
new file mode 100644
index 0000000000000000000000000000000000000000..641433acb03a07996b151fd3dcc193f5a80c7fb9
--- /dev/null
+++ b/results/train/hyperbola/problem_0043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b10c51686d2c24efab0033e63a0641cd709b1f31751049d0f76489af1993754b
+size 246786
diff --git a/results/train/hyperbola/problem_0049.png b/results/train/hyperbola/problem_0049.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ec783362e830c24a2a44c47ad827cfdac74c6da
--- /dev/null
+++ b/results/train/hyperbola/problem_0049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebbca3bdc0f5c67693051e67dccbd6a7859caa2072b0d75129e210b07dc1f6e0
+size 265417
diff --git a/results/train/hyperbola/problem_0050.png b/results/train/hyperbola/problem_0050.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f0522642ca3537fc9d1256046b126e1cd018081
--- /dev/null
+++ b/results/train/hyperbola/problem_0050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e6e45d0e2e65e28ab4fb280334e1d9434e93e23c3f226a093d70c568967d7d8
+size 257198
diff --git a/results/train/hyperbola/problem_0051.png b/results/train/hyperbola/problem_0051.png
new file mode 100644
index 0000000000000000000000000000000000000000..db45d05976dbdf9dd2ea9e48fc38ade13d41b9fb
--- /dev/null
+++ b/results/train/hyperbola/problem_0051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13c8a75a25173f965536bc91d8f69c216a72a1738303c009571be58fad887d28
+size 267645
diff --git a/results/train/hyperbola/problem_0054.png b/results/train/hyperbola/problem_0054.png
new file mode 100644
index 0000000000000000000000000000000000000000..30e675d21ce8ab705a8771fe8294cc55993e12ce
--- /dev/null
+++ b/results/train/hyperbola/problem_0054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b1e8547017fd383c86dbf185cf11c322a8a235c96535b58f58c9b82990fa62c
+size 267745
diff --git a/results/train/hyperbola/problem_0058.png b/results/train/hyperbola/problem_0058.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bf3accfd5591be52dc19b61028bf919890be74f
--- /dev/null
+++ b/results/train/hyperbola/problem_0058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5801c13185748cd420b040b2c702d0e837c57a2ead9664a457bbea1f312fcb31
+size 260130
diff --git a/results/train/hyperbola/problem_0064.png b/results/train/hyperbola/problem_0064.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd008cf04861db42e07bd63a9ae38adf46950872
--- /dev/null
+++ b/results/train/hyperbola/problem_0064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd4a28ea3dc7750b9cef4519d2f0a528645828c40806236be768bf75d3db0829
+size 232218
diff --git a/results/train/hyperbola/problem_0066.png b/results/train/hyperbola/problem_0066.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4355a47160306aadd8816faf08612809b7ff43d
--- /dev/null
+++ b/results/train/hyperbola/problem_0066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8477405f8da29dd2cbc4dbf011bc28a189824f685cfff69526f505780ab288ec
+size 251547
diff --git a/results/train/hyperbola/problem_0068.png b/results/train/hyperbola/problem_0068.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cfd8757e954e477b8d08878285167057a22a47e
--- /dev/null
+++ b/results/train/hyperbola/problem_0068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e03f53ac2873ad77682f26ac02501b8e3f6c35a369f909c1e2248e57d6c486e
+size 254935
diff --git a/results/train/hyperbola/problem_0073.png b/results/train/hyperbola/problem_0073.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea4b455327e6e1d168b2f3bf8732efafab926fb9
--- /dev/null
+++ b/results/train/hyperbola/problem_0073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a85e1326c08169c90879cc64f2fdd67114d1912fc5cf1113128edeb052915993
+size 268019
diff --git a/results/train/hyperbola/problem_0082.png b/results/train/hyperbola/problem_0082.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c9628106cfe88f878f1282591a554d4abcb5ef7
--- /dev/null
+++ b/results/train/hyperbola/problem_0082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5006ea7b5924749fc57bbd93b9f4d20943f24a672be760fbd38b976bfbea83d1
+size 271436
diff --git a/results/train/hyperbola/problem_0087.png b/results/train/hyperbola/problem_0087.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e4b67e24b835930f01fefab0b7d409e756766db
--- /dev/null
+++ b/results/train/hyperbola/problem_0087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7fafc03e2222bf2085132e4335b54f2192fb83d64c2bbd884fb875255130a40
+size 271850
diff --git a/results/train/hyperbola/problem_0093.png b/results/train/hyperbola/problem_0093.png
new file mode 100644
index 0000000000000000000000000000000000000000..3468d37eb26bb2bd0eac3c99cae2345d155a3d85
--- /dev/null
+++ b/results/train/hyperbola/problem_0093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1fc30a4461728a0165b54cefe8e0ae6dd9e76b02d09c4effe3bd36cb5cd5471
+size 233668
diff --git a/results/train/hyperbola/problem_0095.png b/results/train/hyperbola/problem_0095.png
new file mode 100644
index 0000000000000000000000000000000000000000..e87e67c7030138efc92cbdf97b37fad5707b2ba5
--- /dev/null
+++ b/results/train/hyperbola/problem_0095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed70889a91fd8f61a368e33b14714046c782be7c50762bae9ab3fe6a648c18ca
+size 253856
diff --git a/results/train/hyperbola/problem_0100.png b/results/train/hyperbola/problem_0100.png
new file mode 100644
index 0000000000000000000000000000000000000000..b45a7f660a6e4587c59c9c390072bb984bc34564
--- /dev/null
+++ b/results/train/hyperbola/problem_0100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67f1ac91eb7d07838cf932c1be406f26740e0e946d3d191e4f8f324f1b935b33
+size 274042
diff --git a/results/train/hyperbola/problem_0101.png b/results/train/hyperbola/problem_0101.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d8ac626b28e8ffcbff2253669844c6177d562b8
--- /dev/null
+++ b/results/train/hyperbola/problem_0101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d82c3c6ce9dc9c03b221a84142f63c2c8129f3a0e3d0ece763dd8916cb09705d
+size 267672
diff --git a/results/train/hyperbola/problem_0102.png b/results/train/hyperbola/problem_0102.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b6ffcb6b0289aba011a4c73dffe8ad469e7c504
--- /dev/null
+++ b/results/train/hyperbola/problem_0102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa0ab8922248032bb8a84fa50e18c2d7880f578128e0e6d44e59b1f533796fba
+size 262581
diff --git a/results/train/hyperbola/problem_0103.png b/results/train/hyperbola/problem_0103.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef7dc1fd011066d6de1a667541db68419baae77d
--- /dev/null
+++ b/results/train/hyperbola/problem_0103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab8c88062a3536b590a181ab79078ec7625190185fde65016e9d92632af72c8f
+size 272016
diff --git a/results/train/hyperbola/problem_0105.png b/results/train/hyperbola/problem_0105.png
new file mode 100644
index 0000000000000000000000000000000000000000..3dcc8c443a08e7a798aa2158662b234d55d9017c
--- /dev/null
+++ b/results/train/hyperbola/problem_0105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3ddb4f1f8f3954ac55634e80bfdc2798d77eee37019afe4031fdf4bd349e67a
+size 258599
diff --git a/results/train/hyperbola/problem_0113.png b/results/train/hyperbola/problem_0113.png
new file mode 100644
index 0000000000000000000000000000000000000000..fac4487ca015b76bd89263bd59ee1b9527e9a304
--- /dev/null
+++ b/results/train/hyperbola/problem_0113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e12b25f969107513b2b183342b3db70d441533df3cd33c2ad519f4559717be19
+size 240697
diff --git a/results/train/hyperbola/problem_0114.png b/results/train/hyperbola/problem_0114.png
new file mode 100644
index 0000000000000000000000000000000000000000..9648beaea8491adfedd6ed607152d9a9a5bccaef
--- /dev/null
+++ b/results/train/hyperbola/problem_0114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:586ccdb2d21b835df90339da95631b29d3315531f60e0d80f1a68923cfd741d4
+size 245158
diff --git a/results/train/hyperbola/problem_0119.png b/results/train/hyperbola/problem_0119.png
new file mode 100644
index 0000000000000000000000000000000000000000..0363b0b9a1c3b65ffcb56d0868bf4bcf9f551ae4
--- /dev/null
+++ b/results/train/hyperbola/problem_0119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc794348bbed4dcf8024166f9cdfbb0c8f76622f56e3a3b97d9f160f51830813
+size 235968
diff --git a/results/train/hyperbola/problem_0120.png b/results/train/hyperbola/problem_0120.png
new file mode 100644
index 0000000000000000000000000000000000000000..4196adb55b46dc658a04968bda840c2ebc5882a7
--- /dev/null
+++ b/results/train/hyperbola/problem_0120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f762695545605ab38b9d71a325ebcf51fe9a1493c2c66ee5057c70d3c1cd0da
+size 265969
diff --git a/results/train/hyperbola/problem_0129.png b/results/train/hyperbola/problem_0129.png
new file mode 100644
index 0000000000000000000000000000000000000000..e992e69bea0e76e481a792260b6071413772001b
--- /dev/null
+++ b/results/train/hyperbola/problem_0129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:970bd9ae1bbc5f97e1b2e63bd9dd0b01a3c1ab5f69ad0fc0e0a06e4fdcc33839
+size 245420
diff --git a/results/train/hyperbola/problem_0139.png b/results/train/hyperbola/problem_0139.png
new file mode 100644
index 0000000000000000000000000000000000000000..5905e71c6f527571002b6b4ddc13d811c14a4eb2
--- /dev/null
+++ b/results/train/hyperbola/problem_0139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3592f10b047bf9b850ea696641e3c55d1fd86899558f1c07cc1c58ae7ca17ee
+size 254222
diff --git a/results/train/hyperbola/problem_0140.png b/results/train/hyperbola/problem_0140.png
new file mode 100644
index 0000000000000000000000000000000000000000..581bc3460b844139e11f232b7a6e456ad17cb062
--- /dev/null
+++ b/results/train/hyperbola/problem_0140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b05702c11890ea80a6f023a0b847624b92eb2be27318ed87de7973a28c76951b
+size 266216
diff --git a/results/train/hyperbola/problem_0144.png b/results/train/hyperbola/problem_0144.png
new file mode 100644
index 0000000000000000000000000000000000000000..69ed2bfff18287f0746e75104857fddd6ccfe9e6
--- /dev/null
+++ b/results/train/hyperbola/problem_0144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76b2838eba8ddf22ef1b0ad7a28d2b002356d492a93e8b8f5d6165cecaa47dda
+size 266228
diff --git a/results/train/hyperbola/problem_0148.png b/results/train/hyperbola/problem_0148.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1f859b7a449d59d8fc25cf20a6b48bf1dd1c50c
--- /dev/null
+++ b/results/train/hyperbola/problem_0148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a238d7405bbb4db6e4da3e55cf08b4c42a550950f47a610f66eba2daecd62347
+size 258389
diff --git a/results/train/hyperbola/problem_0149.png b/results/train/hyperbola/problem_0149.png
new file mode 100644
index 0000000000000000000000000000000000000000..bccb5d44a96c18b74d771e3a3a9deff1d56a34b3
--- /dev/null
+++ b/results/train/hyperbola/problem_0149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:632f5a2a37182df4ebdab70a2bba99f5a952c2097ee048162abf76efc95d7128
+size 253493
diff --git a/results/train/hyperbola/problem_0150.png b/results/train/hyperbola/problem_0150.png
new file mode 100644
index 0000000000000000000000000000000000000000..75fb33a58de20d9d34184b8b9fc365fad91f7429
--- /dev/null
+++ b/results/train/hyperbola/problem_0150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2651472eb7584bc85718530e28bf00564652b256f5e8b70d9e985b9534b2b9c7
+size 252947
diff --git a/results/train/hyperbola/problem_0151.png b/results/train/hyperbola/problem_0151.png
new file mode 100644
index 0000000000000000000000000000000000000000..25b63666953f750908f15cbbce0cd37300669895
--- /dev/null
+++ b/results/train/hyperbola/problem_0151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e27a6c98f3416e4f2afb0136d209de049952a8ebb624f17a51156fc55d5fde0
+size 275078
diff --git a/results/train/hyperbola/problem_0153.png b/results/train/hyperbola/problem_0153.png
new file mode 100644
index 0000000000000000000000000000000000000000..95b833b518376d2350ec5f1c71970cb75900eb8b
--- /dev/null
+++ b/results/train/hyperbola/problem_0153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4cecb85b804645f3136ab12dbd284f05d6a58c4d5d80380f426a17a9b1c4205
+size 230586
diff --git a/results/train/hyperbola/problem_0154.png b/results/train/hyperbola/problem_0154.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1e8ab7c6f04495c59708f98a4fdea06db49ab2b
--- /dev/null
+++ b/results/train/hyperbola/problem_0154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f0523811e7205aa9682a850d02f288dd10d761686de9bcad40e05ba27fc478
+size 290368
diff --git a/results/train/hyperbola/problem_0156.png b/results/train/hyperbola/problem_0156.png
new file mode 100644
index 0000000000000000000000000000000000000000..00381a1f49593d5072afe628ccb13861323dc777
--- /dev/null
+++ b/results/train/hyperbola/problem_0156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ae77a79556ccfbea8843085b8819ac2f4928bf7a6fe61e2e6f5d09ebb6fd55f
+size 253331
diff --git a/results/train/hyperbola/problem_0158.png b/results/train/hyperbola/problem_0158.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc5bee067cbdc39c4e93d95e8668171b6a7a585a
--- /dev/null
+++ b/results/train/hyperbola/problem_0158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2d0df55ef3ac391d4c4b327cf767750e880af43d7f82be4fb02e6779648bd62
+size 271437
diff --git a/results/train/hyperbola/problem_0165.png b/results/train/hyperbola/problem_0165.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5f0c28c6a90b5bcf2330ada2e79ff8f60ab84e4
--- /dev/null
+++ b/results/train/hyperbola/problem_0165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:154087a6eb8efe57f0367060ebdf8ca3931904739454815682f0f6c1da6b983a
+size 275115
diff --git a/results/train/hyperbola/problem_0171.png b/results/train/hyperbola/problem_0171.png
new file mode 100644
index 0000000000000000000000000000000000000000..da2397336fe44e01323ef23a546d5a9145803106
--- /dev/null
+++ b/results/train/hyperbola/problem_0171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f472311a7ddf1294daebf049068dad11aba90d55178ab0e210cfd370e321793c
+size 230168
diff --git a/results/train/hyperbola/problem_0173.png b/results/train/hyperbola/problem_0173.png
new file mode 100644
index 0000000000000000000000000000000000000000..98b6baba5f8031eb483057ea8ad8d35733949ba1
--- /dev/null
+++ b/results/train/hyperbola/problem_0173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebdb96e6bf62a7ff0dc57362f6386266e964ae10e745e4b4f4adfa3990b7d698
+size 248842
diff --git a/results/train/hyperbola/problem_0183.png b/results/train/hyperbola/problem_0183.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ee089f836a0276d268d757f4a95e651233dce11
--- /dev/null
+++ b/results/train/hyperbola/problem_0183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfb3351d78e28c05c0b07d39a514f29df1e6c4b5998864e9f7f2db336db2e89e
+size 253941
diff --git a/results/train/hyperbola/problem_0187.png b/results/train/hyperbola/problem_0187.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb914c76cc21b9a253f599dd5a2f772d83bcd2af
--- /dev/null
+++ b/results/train/hyperbola/problem_0187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d5f653e7104cbef4580c8f9aa9614f778f7ab799c89657ee0fa22bb971eef27
+size 272226
diff --git a/results/train/hyperbola/problem_0189.png b/results/train/hyperbola/problem_0189.png
new file mode 100644
index 0000000000000000000000000000000000000000..f444b1cd7b46decf6baaec123f5e9f7afb944656
--- /dev/null
+++ b/results/train/hyperbola/problem_0189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac122c38857ee9caf248831e42d4550fd5123de4dcfff2c0cc1af58c35c54acb
+size 280179
diff --git a/results/train/hyperbola/problem_0190.png b/results/train/hyperbola/problem_0190.png
new file mode 100644
index 0000000000000000000000000000000000000000..080a1f1d5ecae5dab4459d9e8a2ad1c363c1f7f2
--- /dev/null
+++ b/results/train/hyperbola/problem_0190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c9788c5d1fdf0402253a8201a44ec8506c6b06bce342bcd231469c24a0f5bd2
+size 262915
diff --git a/results/train/hyperbola/problem_0192.png b/results/train/hyperbola/problem_0192.png
new file mode 100644
index 0000000000000000000000000000000000000000..b572e876e434527b1b474896e87416a451d7cff2
--- /dev/null
+++ b/results/train/hyperbola/problem_0192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a17c3298de3fb7436eccc5eb9b0e8c4003785f740b7a9be653bb09bae8c7874c
+size 239932
diff --git a/results/train/hyperbola/problem_0193.png b/results/train/hyperbola/problem_0193.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f40bcc4359aa7ee93d1b85c3f881df4e1f20c58
--- /dev/null
+++ b/results/train/hyperbola/problem_0193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f652c5116d18df7845ab04b1c77bd46a268c6ec45f450e28d04dcc3c79e5fabe
+size 275031
diff --git a/results/train/hyperbola/problem_0194.png b/results/train/hyperbola/problem_0194.png
new file mode 100644
index 0000000000000000000000000000000000000000..12a34b024da8180e7d84f8399e55517ea2c2ef81
--- /dev/null
+++ b/results/train/hyperbola/problem_0194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7523b33f98299d0289ea28bebce6d1b3df7128279f2dca817e290078b451270f
+size 270743
diff --git a/results/train/hyperbola/problem_0199.png b/results/train/hyperbola/problem_0199.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d9140103b670869fa617ab0cca0bb8c54622e99
--- /dev/null
+++ b/results/train/hyperbola/problem_0199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9b4c044ec023aa1109f07460650edc0b81bb1ffce43bc1ccb6130c29578b6ad
+size 259717
diff --git a/results/train/hyperbola/problem_0200.png b/results/train/hyperbola/problem_0200.png
new file mode 100644
index 0000000000000000000000000000000000000000..432be79e5a83e68871e98935a8222f9671407b66
--- /dev/null
+++ b/results/train/hyperbola/problem_0200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9b590ea511bb7da33a5b3a6b6ef611fcd78d92b4313189c584d27d980cf0603
+size 262571
diff --git a/results/train/hyperbola/problem_0201.png b/results/train/hyperbola/problem_0201.png
new file mode 100644
index 0000000000000000000000000000000000000000..45e2da7663ed1d91ea60242aaecae63c05e9ff37
--- /dev/null
+++ b/results/train/hyperbola/problem_0201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97ff03f0546650617a6e9bcf69cb1d5a12f28388cfaf67cd5abafef43d23b844
+size 262633
diff --git a/results/train/hyperbola/problem_0202.png b/results/train/hyperbola/problem_0202.png
new file mode 100644
index 0000000000000000000000000000000000000000..cdf41d9cdc319fc68acbd7a2220a5d6b4c12e555
--- /dev/null
+++ b/results/train/hyperbola/problem_0202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c2eb8f8556b9225e4c896aba9a92a471150999fe7242c11a91849400756d01d
+size 274891
diff --git a/results/train/hyperbola/problem_0203.png b/results/train/hyperbola/problem_0203.png
new file mode 100644
index 0000000000000000000000000000000000000000..59946065f2ab87c1e94b665abad4c68f384b9a93
--- /dev/null
+++ b/results/train/hyperbola/problem_0203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:870bece6520c32aaa3d339369766112aae1456d281d64793a77ef236a8724c55
+size 242662
diff --git a/results/train/hyperbola/problem_0215.png b/results/train/hyperbola/problem_0215.png
new file mode 100644
index 0000000000000000000000000000000000000000..397ef3605b0941c696579d4ee49fc0e8d5dd9c23
--- /dev/null
+++ b/results/train/hyperbola/problem_0215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64b0f8c88773731776d2104b388cdccec4f2f5180dc4ec730b8e24dc0de70768
+size 268497
diff --git a/results/train/hyperbola/problem_0217.png b/results/train/hyperbola/problem_0217.png
new file mode 100644
index 0000000000000000000000000000000000000000..068cf477fc7e1107d46bfd0bbb3f5c6add8f903b
--- /dev/null
+++ b/results/train/hyperbola/problem_0217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:285954c3997efddbfb9086defef21cea1bdae85eb3daabd7ccf3553ecdf49e5f
+size 258100
diff --git a/results/train/hyperbola/problem_0218.png b/results/train/hyperbola/problem_0218.png
new file mode 100644
index 0000000000000000000000000000000000000000..43bb270608dc259b0732df9fa1fdcdb52bb3e3e1
--- /dev/null
+++ b/results/train/hyperbola/problem_0218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63c41d3a754b58b25df1540fca99b814158eba8ea16541a938532d527a72ec4a
+size 292771
diff --git a/results/train/hyperbola/problem_0219.png b/results/train/hyperbola/problem_0219.png
new file mode 100644
index 0000000000000000000000000000000000000000..1764e5ceaa4b1b6ec77e804bf19d7b9ddd41c3f2
--- /dev/null
+++ b/results/train/hyperbola/problem_0219.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e984a1e63739770e48a8fe14d8d66106a1719ae49f1dbb91bc9a0b7b156c1603
+size 267454
diff --git a/results/train/hyperbola/problem_0230.png b/results/train/hyperbola/problem_0230.png
new file mode 100644
index 0000000000000000000000000000000000000000..112bea5e773b45898456eae1827615d843546485
--- /dev/null
+++ b/results/train/hyperbola/problem_0230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a632e6333dfc070bd6d680794311ddca6af53f3b5cc4e5dbbda3ec33e97f5534
+size 206341
diff --git a/results/train/hyperbola/problem_0237.png b/results/train/hyperbola/problem_0237.png
new file mode 100644
index 0000000000000000000000000000000000000000..800af68fee1ea045f11b4a161d759724466b4e80
--- /dev/null
+++ b/results/train/hyperbola/problem_0237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7eea075cba2bd779321ff8cb32c97dbc77be51e7dad45c2efdbba51d12edf0a1
+size 279995
diff --git a/results/train/hyperbola/problem_0238.png b/results/train/hyperbola/problem_0238.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b31ead03767ad10eb7a585c637864dae378ff7e
--- /dev/null
+++ b/results/train/hyperbola/problem_0238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3dc6272fd86eb59e41f5c0bb666cdcf0ef68fe934ca5cee980edcd0ae61bb25
+size 295621
diff --git a/results/train/hyperbola/problem_0239.png b/results/train/hyperbola/problem_0239.png
new file mode 100644
index 0000000000000000000000000000000000000000..5979e09376d3d819511a7022028fe30f7efcf8af
--- /dev/null
+++ b/results/train/hyperbola/problem_0239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e26e5f8511abba6a4166d8fa21b5dc0ed1406175061c820fcacd200d589a8075
+size 243991
diff --git a/results/train/hyperbola/problem_0249.png b/results/train/hyperbola/problem_0249.png
new file mode 100644
index 0000000000000000000000000000000000000000..766f380c20b721966a58c1df573b21b6bc8f4ee1
--- /dev/null
+++ b/results/train/hyperbola/problem_0249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:385796cf4f31ce9a932c3f056054259bd2b75aaaca33520a9568c79b184c28ff
+size 265458
diff --git a/results/train/hyperbola/problem_0255.png b/results/train/hyperbola/problem_0255.png
new file mode 100644
index 0000000000000000000000000000000000000000..8afbbfb56b84630c7f4130abd4c5feca5b0f8ef7
--- /dev/null
+++ b/results/train/hyperbola/problem_0255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5eeb554caad620fe03313fc3ffaedd8a9e00dc5b6da59dc37381272a734afb05
+size 260766
diff --git a/results/train/hyperbola/problem_0257.png b/results/train/hyperbola/problem_0257.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfe93b6faf152045f2b6328845c0bfe5587f40bb
--- /dev/null
+++ b/results/train/hyperbola/problem_0257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ded7e63f60525c78d23b74fc3a39eaed71ad17db4dd4dd86396d0d3e28f15983
+size 275855
diff --git a/results/train/hyperbola/problem_0259.png b/results/train/hyperbola/problem_0259.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf01a16ef209ea8b7401c8d7ba3e542e7e6e0812
--- /dev/null
+++ b/results/train/hyperbola/problem_0259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e0f9f2edda0bec71f4f7ab38a39097cb42d7462a13717ce9fba6e42d3dd3fad
+size 261872
diff --git a/results/train/hyperbola/problem_0262.png b/results/train/hyperbola/problem_0262.png
new file mode 100644
index 0000000000000000000000000000000000000000..24847e87a5bdf6f513c7c59041c8c01bf9f3ec2e
--- /dev/null
+++ b/results/train/hyperbola/problem_0262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad9b3aa617c13d0ee590d1140a7b81ecb74d498486e16e102959a7033491f114
+size 266551
diff --git a/results/train/hyperbola/problem_0263.png b/results/train/hyperbola/problem_0263.png
new file mode 100644
index 0000000000000000000000000000000000000000..f26944d55c6514159a9bf59c871a30cd99292f14
--- /dev/null
+++ b/results/train/hyperbola/problem_0263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cb14af7651903d4ad8e9cac984c06a3cdec06bb2b8ee3249f6c710da01bfdcc
+size 265005
diff --git a/results/train/hyperbola/problem_0264.png b/results/train/hyperbola/problem_0264.png
new file mode 100644
index 0000000000000000000000000000000000000000..223d946e051cd129a9dbe396b5779f0e93d8d252
--- /dev/null
+++ b/results/train/hyperbola/problem_0264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cd52053a7bec57e08dcd541342c1e8a819f5ea1a452cb1d31f90db28264b5d6
+size 265029
diff --git a/results/train/hyperbola/problem_0265.png b/results/train/hyperbola/problem_0265.png
new file mode 100644
index 0000000000000000000000000000000000000000..279794f049a6500208c44df3e9297878be271026
--- /dev/null
+++ b/results/train/hyperbola/problem_0265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9664d0233be6d2358020760c4e75d09c0d7934aff1e3c931eb60c1e2c8a87f51
+size 258660
diff --git a/results/train/hyperbola/problem_0266.png b/results/train/hyperbola/problem_0266.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a3e9b3f779cedbd2372dde96a3f45fa1e792621
--- /dev/null
+++ b/results/train/hyperbola/problem_0266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25b50320c4a1750971655d37c9fc66ad3ae4e51bab3fef1e0553e07d46c82e7b
+size 265880
diff --git a/results/train/hyperbola/problem_0269.png b/results/train/hyperbola/problem_0269.png
new file mode 100644
index 0000000000000000000000000000000000000000..a73780a8d15a6b23eeb675e07d6f0605978db41f
--- /dev/null
+++ b/results/train/hyperbola/problem_0269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32278a54643b0ca6698ccba2398fdc977ccf87dd8653fadb587df3a143a92e74
+size 244723
diff --git a/results/train/hyperbola/problem_0273.png b/results/train/hyperbola/problem_0273.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d013d796a24fca23786d03d8c030f8625283171
--- /dev/null
+++ b/results/train/hyperbola/problem_0273.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fda0ac5e4ab414144611e6943c5aa459b3933f514cb25a1112d01b59f7d43a10
+size 274003
diff --git a/results/train/hyperbola/problem_0280.png b/results/train/hyperbola/problem_0280.png
new file mode 100644
index 0000000000000000000000000000000000000000..91098a8c76bb2cd58a4942bd952f68427ffc43f7
--- /dev/null
+++ b/results/train/hyperbola/problem_0280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25b9536110401d7bf54c768eac5b399bdbd4b248f1b750b6380b1c585b08a0e6
+size 263624
diff --git a/results/train/hyperbola/problem_0286.png b/results/train/hyperbola/problem_0286.png
new file mode 100644
index 0000000000000000000000000000000000000000..f83c64569a2744944f9fdc30620b0d7639d0a237
--- /dev/null
+++ b/results/train/hyperbola/problem_0286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3574414e809cadb17d6ec8df97bc4e5e301942cb0367e6b851eb529719220981
+size 269656
diff --git a/results/train/hyperbola/problem_0290.png b/results/train/hyperbola/problem_0290.png
new file mode 100644
index 0000000000000000000000000000000000000000..77e67b1c96e790c52a02d9153a60a8f0a09ed577
--- /dev/null
+++ b/results/train/hyperbola/problem_0290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3db38ff25dfd32e8af04770eebbd8a5f71f41562cd506068a20e37ec1f53dee
+size 222001
diff --git a/results/train/hyperbola/problem_0301.png b/results/train/hyperbola/problem_0301.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e4410cbae91eeeae06082c690b0ca58e2d9bbff
--- /dev/null
+++ b/results/train/hyperbola/problem_0301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8675575f68ca59848e1ebfcd03ae14830fa9d4a291852dc68d72c19b3304f040
+size 270247
diff --git a/results/train/hyperbola/problem_0305.png b/results/train/hyperbola/problem_0305.png
new file mode 100644
index 0000000000000000000000000000000000000000..76e50eed6d65bfa7fcd3672027b8392417315399
--- /dev/null
+++ b/results/train/hyperbola/problem_0305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b27b68e32e4b837c37544cb86d7bac6739ad3cbd43f221baa2ecb69508154eee
+size 253372
diff --git a/results/train/hyperbola/problem_0309.png b/results/train/hyperbola/problem_0309.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d0a6a9e275b4df102257d41cf7777286cd3ffe1
--- /dev/null
+++ b/results/train/hyperbola/problem_0309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:459981892fdf6e210ba68c37d9b529940fbb790d76658ba564540c774ab7a33b
+size 257604
diff --git a/results/train/hyperbola/problem_0310.png b/results/train/hyperbola/problem_0310.png
new file mode 100644
index 0000000000000000000000000000000000000000..b84b7d2d4b2ef61a556624537a42b7b98f4b4827
--- /dev/null
+++ b/results/train/hyperbola/problem_0310.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3ba8a9d01a892da63e4f75a5ac96a8f7ec7c54e809ddf49c88f7c28c69454f2
+size 260025
diff --git a/results/train/hyperbola/problem_0311.png b/results/train/hyperbola/problem_0311.png
new file mode 100644
index 0000000000000000000000000000000000000000..b62a563df738f446aeb8f12fda09e02a29eeb436
--- /dev/null
+++ b/results/train/hyperbola/problem_0311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9117bc1cb33b2b0c42b9bb9b176c0ca109c6f9c59209d5c3f4d8e0678f2f1bf4
+size 270249
diff --git a/results/train/hyperbola/problem_0312.png b/results/train/hyperbola/problem_0312.png
new file mode 100644
index 0000000000000000000000000000000000000000..2183f2f7175b20f528b0525b03b8fc2306b0fa5d
--- /dev/null
+++ b/results/train/hyperbola/problem_0312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9471143e7f517b64b504a21d0e1d643c5f8c359ee5ac701954205d7a106d108b
+size 258206
diff --git a/results/train/hyperbola/problem_0319.png b/results/train/hyperbola/problem_0319.png
new file mode 100644
index 0000000000000000000000000000000000000000..85285c61f6d0400b6a511770b676f75de194dfd1
--- /dev/null
+++ b/results/train/hyperbola/problem_0319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:876897ad45d7743c592a1f8bd814af05c656967c06fb3288e1f33a43f95a72fc
+size 265323
diff --git a/results/train/hyperbola/problem_0322.png b/results/train/hyperbola/problem_0322.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd428a1f3c981ee19688d181d51480b4fd575343
--- /dev/null
+++ b/results/train/hyperbola/problem_0322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:207b492f72806ab93767b5ade272d7e9c7c4f11934feb08e8760a3c4acc85b81
+size 272570
diff --git a/results/train/hyperbola/problem_0323.png b/results/train/hyperbola/problem_0323.png
new file mode 100644
index 0000000000000000000000000000000000000000..c31b2eecc6ea35a024b9310bf7d422cc33af9e6d
--- /dev/null
+++ b/results/train/hyperbola/problem_0323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ff8f940384e4c28e46a43f5017866b8cd8af8d9004e63ae63081e23c79d1418
+size 256227
diff --git a/results/train/hyperbola/problem_0326.png b/results/train/hyperbola/problem_0326.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bccc234d050291b844b02d758906307536c417e
--- /dev/null
+++ b/results/train/hyperbola/problem_0326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f07e5dc3004c29aae520265e36dee1a757f5ce00a412d9800265c7ad603a2e7e
+size 274200
diff --git a/results/train/hyperbola/problem_0328.png b/results/train/hyperbola/problem_0328.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fe39d9816bf2a7134f3793bf2e793a0e93b7c34
--- /dev/null
+++ b/results/train/hyperbola/problem_0328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfb8ac9183c8eb2a2b3d2a7586cba746d31d84b53c1f23d0318bb8db05999d3e
+size 255779
diff --git a/results/train/hyperbola/problem_0340.png b/results/train/hyperbola/problem_0340.png
new file mode 100644
index 0000000000000000000000000000000000000000..139ebe539f6487e36c6583dec43f5ee0f2c16ea8
--- /dev/null
+++ b/results/train/hyperbola/problem_0340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1824fad8798fb4dab6193bbbf7bf4b46c38d1af87d63e59feb6f74f2359f474b
+size 275112
diff --git a/results/train/hyperbola/problem_0346.png b/results/train/hyperbola/problem_0346.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba1a665ccf996adfea167ae2928f5da1587d3cbb
--- /dev/null
+++ b/results/train/hyperbola/problem_0346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5333854b629344bad9eb7555b60234ef6cf3931eb26b64c99b3cd5a63552af1
+size 266631
diff --git a/results/train/hyperbola/problem_0349.png b/results/train/hyperbola/problem_0349.png
new file mode 100644
index 0000000000000000000000000000000000000000..7df6b3d2b4cb04b4947ff65b19bbbfa0468703ed
--- /dev/null
+++ b/results/train/hyperbola/problem_0349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4267d60647cd21d7aeea3fed5684a078b378b8fc692903c36874ea311c841ad7
+size 266734
diff --git a/results/train/hyperbola/problem_0351.png b/results/train/hyperbola/problem_0351.png
new file mode 100644
index 0000000000000000000000000000000000000000..d92843cadefb188861b5d038a3ca0474f8189f9a
--- /dev/null
+++ b/results/train/hyperbola/problem_0351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:090cf93a1169597ae1d49ba5ee35ab481a8d74655f0b4a1ead3afe923e73d2ea
+size 291510
diff --git a/results/train/hyperbola/problem_0352.png b/results/train/hyperbola/problem_0352.png
new file mode 100644
index 0000000000000000000000000000000000000000..8286e59baa9714d87511d8ba3b7c9b9d464ffd7c
--- /dev/null
+++ b/results/train/hyperbola/problem_0352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c5e8c21f03fdcead7836ddf6cb93e6ec37d45cc286074c2a1a4fd76304a961c
+size 247639
diff --git a/results/train/hyperbola/problem_0360.png b/results/train/hyperbola/problem_0360.png
new file mode 100644
index 0000000000000000000000000000000000000000..c24acc2874947298ae976529436f2d183b98c626
--- /dev/null
+++ b/results/train/hyperbola/problem_0360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c4df622fcd855e3d96c0873acdd0a9a949ef5bf4357751076cce84d3f43f835
+size 265708
diff --git a/results/train/hyperbola/problem_0365.png b/results/train/hyperbola/problem_0365.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1220a0ec1a73f97aeab48c5afa4fc5832b2baee
--- /dev/null
+++ b/results/train/hyperbola/problem_0365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da8e7ea2bc3e2b80e0f46331f60657775179dc0eab31ec884ae0debd929183f5
+size 267710
diff --git a/results/train/hyperbola/problem_0366.png b/results/train/hyperbola/problem_0366.png
new file mode 100644
index 0000000000000000000000000000000000000000..793123fc59c9066ff9fff4239d454a4746281eff
--- /dev/null
+++ b/results/train/hyperbola/problem_0366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92d284bdd5a2a3b65af325e1b3eb49df008c5a02b1090565616f89114e6ae46c
+size 269033
diff --git a/results/train/hyperbola/problem_0372.png b/results/train/hyperbola/problem_0372.png
new file mode 100644
index 0000000000000000000000000000000000000000..5052fa0096dd853194c4259022cab6728675c7c5
--- /dev/null
+++ b/results/train/hyperbola/problem_0372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25fe46f19dfbf186f5bbb5f20c3aa99c871d175f802cb5d8c612fc21fcc6a22e
+size 286323
diff --git a/results/train/hyperbola/problem_0373.png b/results/train/hyperbola/problem_0373.png
new file mode 100644
index 0000000000000000000000000000000000000000..21402323f051827173caff856265834c744e6cb4
--- /dev/null
+++ b/results/train/hyperbola/problem_0373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6c25fdae88aa1c8d22453d157f34a42babe61d06f70e7e52c4db6f118ad8dde
+size 260616
diff --git a/results/train/hyperbola/problem_0374.png b/results/train/hyperbola/problem_0374.png
new file mode 100644
index 0000000000000000000000000000000000000000..47af51fd881f2fdef038d12132ffe4142ea26489
--- /dev/null
+++ b/results/train/hyperbola/problem_0374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d5ed7c8994cf7dde80b37d16d8d7f974f47bfc51555b565b8c52a3a6a8528dd
+size 266026
diff --git a/results/train/hyperbola/problem_0379.png b/results/train/hyperbola/problem_0379.png
new file mode 100644
index 0000000000000000000000000000000000000000..a901ca174d28fdcc84ed6f29a2397433a7fa0566
--- /dev/null
+++ b/results/train/hyperbola/problem_0379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1354a9b7b298f1355072029a6f897fcd66b18e0ee85a0e3445e005732ad9a28
+size 254814
diff --git a/results/train/hyperbola/problem_0380.png b/results/train/hyperbola/problem_0380.png
new file mode 100644
index 0000000000000000000000000000000000000000..252baff8d8a115024a423f8e9304e04c7a99e521
--- /dev/null
+++ b/results/train/hyperbola/problem_0380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:142da24668ffb960ea72f30ff6f9bfdc3855872c8e0e53574c24ec0796ed6d9c
+size 275297
diff --git a/results/train/hyperbola/problem_0383.png b/results/train/hyperbola/problem_0383.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8c6cb3028d752e2a49dcda8b598170871a73dbb
--- /dev/null
+++ b/results/train/hyperbola/problem_0383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce00e31a126b0aa333b9bac5b0bed4615cd92bcc574ca0ab88c9f6971ff630d7
+size 267914
diff --git a/results/train/hyperbola/problem_0385.png b/results/train/hyperbola/problem_0385.png
new file mode 100644
index 0000000000000000000000000000000000000000..0308dad56fdbf16728b64bf23b5aa97614692564
--- /dev/null
+++ b/results/train/hyperbola/problem_0385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:018c8d657414a2b28f217f7fe197c23d7a73fb0a3083d52df227d65689cb57ad
+size 308593
diff --git a/results/train/hyperbola/problem_0386.png b/results/train/hyperbola/problem_0386.png
new file mode 100644
index 0000000000000000000000000000000000000000..49b976e76a73a0b3f554e331181a5a84d5b2f111
--- /dev/null
+++ b/results/train/hyperbola/problem_0386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2355f8e9e7260fb318b7fe16ffe3046c99359a333682a637d59a059b52a087d
+size 259784
diff --git a/results/train/hyperbola/problem_0388.png b/results/train/hyperbola/problem_0388.png
new file mode 100644
index 0000000000000000000000000000000000000000..f14b31e1969d20a543c7b06b1f0a8b08ae91b9c3
--- /dev/null
+++ b/results/train/hyperbola/problem_0388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8dffef07389b66191a7fd656d5e8643d1ddd6c2e7a48bd8ef1e67533a2ea18d
+size 272939
diff --git a/results/train/hyperbola/problem_0389.png b/results/train/hyperbola/problem_0389.png
new file mode 100644
index 0000000000000000000000000000000000000000..26f83129078cef94003c5f49655fa91fbf1f1cef
--- /dev/null
+++ b/results/train/hyperbola/problem_0389.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8f2d9ef99a74008ab7b6b3ebd20d7a16d662442c262ba2dde31d9562a108478
+size 272376
diff --git a/results/train/hyperbola/problem_0400.png b/results/train/hyperbola/problem_0400.png
new file mode 100644
index 0000000000000000000000000000000000000000..a985b31f603c02259ba7dcd41b8ab3e510293335
--- /dev/null
+++ b/results/train/hyperbola/problem_0400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5694124e3eef190cadbae61ce7f68dcc96caf53e2826f1dac8560d5494d055a4
+size 267882
diff --git a/results/train/hyperbola/problem_0401.png b/results/train/hyperbola/problem_0401.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9288af803ac28f1cb7e2f890e780dc0eaf1c003
--- /dev/null
+++ b/results/train/hyperbola/problem_0401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb3f4ac45f6b4e3fccea28a9a0a6339b5081f35bb8b6d8f5b712fa6037ef1dbd
+size 269214
diff --git a/results/train/hyperbola/problem_0410.png b/results/train/hyperbola/problem_0410.png
new file mode 100644
index 0000000000000000000000000000000000000000..486856ba0dd29c2b09fba29277afd10bde1ad5c8
--- /dev/null
+++ b/results/train/hyperbola/problem_0410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:271f47c082daa1a7cbf954c8e2d879922fc5a73a17c4e69ba1b9526c6ffaa5a6
+size 264591
diff --git a/results/train/hyperbola/problem_0414.png b/results/train/hyperbola/problem_0414.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b98db9331f57aae50d69e6c89a3939182d79d6d
--- /dev/null
+++ b/results/train/hyperbola/problem_0414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8238583e737ea80ebb3bd094c14dc2bae785e97f70f860a1d818ba333225702
+size 267771
diff --git a/results/train/hyperbola/problem_0415.png b/results/train/hyperbola/problem_0415.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f968dbab0a2a6b990e3cff04a3299583413120a
--- /dev/null
+++ b/results/train/hyperbola/problem_0415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2da7f4df89bc0922db14ac8f6f204ad44dc9729006303b2dd752855613b6c831
+size 312133
diff --git a/results/train/hyperbola/problem_0431.png b/results/train/hyperbola/problem_0431.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9c74d754a6c945a77bf0b84ae9d0146de01abbd
--- /dev/null
+++ b/results/train/hyperbola/problem_0431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9c67412ef0c5f399eedcd90d2da6e8c9a47dd9c4111525063ad8bcab3b9baed
+size 296163
diff --git a/results/train/hyperbola/problem_0432.png b/results/train/hyperbola/problem_0432.png
new file mode 100644
index 0000000000000000000000000000000000000000..71de2de74df4bc7080c4aee4663f4dbc13ec8458
--- /dev/null
+++ b/results/train/hyperbola/problem_0432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5c43fb80508c5aa564f3bf0b8fe5678f7aba61e973506e3392af2ad15ec4238
+size 279409
diff --git a/results/train/hyperbola/problem_0442.png b/results/train/hyperbola/problem_0442.png
new file mode 100644
index 0000000000000000000000000000000000000000..e131d268f7af191252c22063ced3a1a1f044e9ef
--- /dev/null
+++ b/results/train/hyperbola/problem_0442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59eacb836dc76021f957b19b477bf8c20a8a8a58713677383db76291b204e251
+size 235650
diff --git a/results/train/hyperbola/problem_0444.png b/results/train/hyperbola/problem_0444.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f7d8936323455ded28573f3c6f4a528bc5244c3
--- /dev/null
+++ b/results/train/hyperbola/problem_0444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db96911ceebf76d2307dbcfc79acdbfa5f08e03927e2dee504e5a50c8e7222eb
+size 273537
diff --git a/results/train/hyperbola/problem_0450.png b/results/train/hyperbola/problem_0450.png
new file mode 100644
index 0000000000000000000000000000000000000000..0df447ca4c52ddf319fdccbf6246837f1a498c02
--- /dev/null
+++ b/results/train/hyperbola/problem_0450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a667876acf0ef609f984ac5582eac6cb963b0c3ce7c0f7ee4081b8d90498d793
+size 243104
diff --git a/results/train/hyperbola/problem_0452.png b/results/train/hyperbola/problem_0452.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd8423a50afcaa70ed5746ed7c8e0b42ec7e4e98
--- /dev/null
+++ b/results/train/hyperbola/problem_0452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87668b752f31af3ad0f8e98b349e581a885a342a95d43e3cd9e33d97d6cece7f
+size 283221
diff --git a/results/train/hyperbola/problem_0456.png b/results/train/hyperbola/problem_0456.png
new file mode 100644
index 0000000000000000000000000000000000000000..1399a40e39c4996926e70f04ded5646fcaa494c9
--- /dev/null
+++ b/results/train/hyperbola/problem_0456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ffe3fea22d8097e1356fdc17b5ddbc5eb4d767614762aeed79fb5c6cb9858f1
+size 279721
diff --git a/results/train/hyperbola/problem_0458.png b/results/train/hyperbola/problem_0458.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f9815294adb2056c75775422193c74581274dd9
--- /dev/null
+++ b/results/train/hyperbola/problem_0458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ec016a4f85ea58ebf2d6404767c5c87fee2f81519b15c1761a426cecd0d019d
+size 266297
diff --git a/results/train/hyperbola/problem_0461.png b/results/train/hyperbola/problem_0461.png
new file mode 100644
index 0000000000000000000000000000000000000000..405dcbe140c14c99f11cbace7d73774aea101f2b
--- /dev/null
+++ b/results/train/hyperbola/problem_0461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02877f74c10590b2c3344da8bd68320da9e324586e0f8e182a1cfb73b7fa0c95
+size 254218
diff --git a/results/train/hyperbola/problem_0464.png b/results/train/hyperbola/problem_0464.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fc3f631bcb086ed6d366a85272307b76cdf63cd
--- /dev/null
+++ b/results/train/hyperbola/problem_0464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb0895e210a452da999c186836b9537503b4ad4024d0058f29285226fba6bea8
+size 266577
diff --git a/results/train/hyperbola/problem_0465.png b/results/train/hyperbola/problem_0465.png
new file mode 100644
index 0000000000000000000000000000000000000000..2024a64be6ef7b972d7d3bcdc7eaacfd1b2f7f89
--- /dev/null
+++ b/results/train/hyperbola/problem_0465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1f8080a03ac91daa24df3b0352aa528b76f75e843dcb86d2f30003ed6aeda70
+size 261716
diff --git a/results/train/hyperbola/problem_0468.png b/results/train/hyperbola/problem_0468.png
new file mode 100644
index 0000000000000000000000000000000000000000..85fe52ff6803ef8dec7afd60f228cc3bfe441f9f
--- /dev/null
+++ b/results/train/hyperbola/problem_0468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be4d017d2e5f5331eeb4aee8388677ec02a4801a69f83c0cea9f3d443f31f23d
+size 267555
diff --git a/results/train/hyperbola/problem_0470.png b/results/train/hyperbola/problem_0470.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e2f77435b05b9bbb3ee65d174ec4d24da260f73
--- /dev/null
+++ b/results/train/hyperbola/problem_0470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68d307fa1db5747ed7ff2e883df232efe3b1e7c30e92db399d56c19fb350dd90
+size 276484
diff --git a/results/train/hyperbola/problem_0472.png b/results/train/hyperbola/problem_0472.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b7e25dccd047064f4968d8d077c5e10045240c8
--- /dev/null
+++ b/results/train/hyperbola/problem_0472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:063a53b2142b0e27c3500a55525c7d8f42beb6ca763a05fd477dc86f49429a04
+size 250510
diff --git a/results/train/hyperbola/problem_0477.png b/results/train/hyperbola/problem_0477.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a02e8b4ca0d201507721861a9385916f9d61643
--- /dev/null
+++ b/results/train/hyperbola/problem_0477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ebd1989d82ca2cf2c55693e2ae02dc728f1fbaa9c100b703a7341fffd2e4945
+size 267864
diff --git a/results/train/hyperbola/problem_0479.png b/results/train/hyperbola/problem_0479.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1623c4c1f927e498c698ac97e869db184949894
--- /dev/null
+++ b/results/train/hyperbola/problem_0479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a91edfd30a6a8a925bb03ec646f95f718b2dd775ce36dbaa5693bbd0bff2b706
+size 285696
diff --git a/results/train/hyperbola/problem_0480.png b/results/train/hyperbola/problem_0480.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d68cd9ba1106caf56c3680cba512cabf5d71d7c
--- /dev/null
+++ b/results/train/hyperbola/problem_0480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3697de9c8336c2fb3aa2ed152f8912cc460c521b0a147cd9f88f75162c93273
+size 252563
diff --git a/results/train/hyperbola/problem_0481.png b/results/train/hyperbola/problem_0481.png
new file mode 100644
index 0000000000000000000000000000000000000000..96deadfc121cd11743f657e696b46ad2ac2be807
--- /dev/null
+++ b/results/train/hyperbola/problem_0481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7428acce9bb27cd4e4089ca5ffceba339e6a5bffcc615c53eb2066c89714e445
+size 236573
diff --git a/results/train/hyperbola/problem_0483.png b/results/train/hyperbola/problem_0483.png
new file mode 100644
index 0000000000000000000000000000000000000000..55782eed19c918d33cb4280ea4bda7ce9c27a7bb
--- /dev/null
+++ b/results/train/hyperbola/problem_0483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfa669298c954d9a278a254b63e57b5e4b72feb63e1b24ba96045e51a65fd835
+size 261400
diff --git a/results/train/hyperbola/problem_0484.png b/results/train/hyperbola/problem_0484.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c3c91451bef76f78281c1e46c949270612e06b0
--- /dev/null
+++ b/results/train/hyperbola/problem_0484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0361777e62eb1e4b1edefd264b3de0d0ce2ed08860fd6c9d62854d0035865449
+size 273188
diff --git a/results/train/hyperbola/problem_0488.png b/results/train/hyperbola/problem_0488.png
new file mode 100644
index 0000000000000000000000000000000000000000..c230e7c4f94d16b48b92b6b1beba791ed4e82db7
--- /dev/null
+++ b/results/train/hyperbola/problem_0488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9cf53a7ac5c40e15577153e1cf3b6d53e62e466eab3e11d8dc28c1d160724ef
+size 260003
diff --git a/results/train/hyperbola/problem_0491.png b/results/train/hyperbola/problem_0491.png
new file mode 100644
index 0000000000000000000000000000000000000000..1005e23d72865504bd54fff6d6102baad81914c4
--- /dev/null
+++ b/results/train/hyperbola/problem_0491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb9d4e2855aece21a3d817683af737b8ce6600c071010701a053dc3b2b39e3a9
+size 255869
diff --git a/results/train/hyperbola/problem_0492.png b/results/train/hyperbola/problem_0492.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1e8ab7c6f04495c59708f98a4fdea06db49ab2b
--- /dev/null
+++ b/results/train/hyperbola/problem_0492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f0523811e7205aa9682a850d02f288dd10d761686de9bcad40e05ba27fc478
+size 290368
diff --git a/results/train/hyperbola/problem_0496.png b/results/train/hyperbola/problem_0496.png
new file mode 100644
index 0000000000000000000000000000000000000000..0fb2ed90764c251eb976de0a07f9042dc61d36f8
--- /dev/null
+++ b/results/train/hyperbola/problem_0496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d5113fb71096a42342cde5a912a86a1f168508f6ebfa3974757d3f104d1d81d
+size 263757
diff --git a/results/train/hyperbola/problem_0503.png b/results/train/hyperbola/problem_0503.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9377dbb487014df502b83c1feeeeb0c77fb11d6
--- /dev/null
+++ b/results/train/hyperbola/problem_0503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa17a6c921920bafd21670af6e6e050e30248a4d1812baa38cb1f61d8c173da3
+size 273308
diff --git a/results/train/hyperbola/problem_0504.png b/results/train/hyperbola/problem_0504.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ecba12bacda3241b8259c21e61b40d57d924bd8
--- /dev/null
+++ b/results/train/hyperbola/problem_0504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3919a08e202246ec13af5fc3388bb60c4fdd0e761af2ec95dc39f8607fe2ce71
+size 270861
diff --git a/results/train/hyperbola/problem_0508.png b/results/train/hyperbola/problem_0508.png
new file mode 100644
index 0000000000000000000000000000000000000000..6adc7d258a8100bcc39893d62cadc5681c3d3bd2
--- /dev/null
+++ b/results/train/hyperbola/problem_0508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb52f0b5f228935f8ba5f4c06d03d2ed77db140153e17c2b944b02ee84648365
+size 271030
diff --git a/results/train/hyperbola/problem_0510.png b/results/train/hyperbola/problem_0510.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d5201f3793b3e9be8de784a7aa00c2f9350b1bc
--- /dev/null
+++ b/results/train/hyperbola/problem_0510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6443a7cc4c9cbfd8107e37fb099947e286adf5b4a46790b0019f2c9eca6f667c
+size 255938
diff --git a/results/train/hyperbola/problem_0511.png b/results/train/hyperbola/problem_0511.png
new file mode 100644
index 0000000000000000000000000000000000000000..277705797155565a2a3a03fae3b6cf2bd2f17151
--- /dev/null
+++ b/results/train/hyperbola/problem_0511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2057c8228cb387bdb2c097b96a22c507138ba800cdfd3f211caacd8aa543d2fc
+size 257389
diff --git a/results/train/hyperbola/problem_0513.png b/results/train/hyperbola/problem_0513.png
new file mode 100644
index 0000000000000000000000000000000000000000..170a1cd82bd12f036de0184f91be1c4a42af5cf6
--- /dev/null
+++ b/results/train/hyperbola/problem_0513.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6acac8f829587bbf2875b05a21d5dcedfd54be33dd8a7c74765001bdf1880133
+size 261091
diff --git a/results/train/hyperbola/problem_0517.png b/results/train/hyperbola/problem_0517.png
new file mode 100644
index 0000000000000000000000000000000000000000..d03389571b5d67d5d046d276a4b6e5e2fbb5c617
--- /dev/null
+++ b/results/train/hyperbola/problem_0517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec2535327e2396ec092bbacc0f9746a1dcda7e418f1d32af41ded654d313bb8d
+size 256348
diff --git a/results/train/hyperbola/problem_0518.png b/results/train/hyperbola/problem_0518.png
new file mode 100644
index 0000000000000000000000000000000000000000..158bd09e0e2b4401de2d91d8dc0f7aa151bfa7f7
--- /dev/null
+++ b/results/train/hyperbola/problem_0518.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:042714cc87431e501b877d8186f0f19655fbf60a88ede72891261491c672c4c0
+size 238765
diff --git a/results/train/hyperbola/problem_0519.png b/results/train/hyperbola/problem_0519.png
new file mode 100644
index 0000000000000000000000000000000000000000..f31b12953a26d2222552502ddfc2c9073649decb
--- /dev/null
+++ b/results/train/hyperbola/problem_0519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bfcae3fdb09e4e9d5da8a802ae5e513b70d4bac6b6982bcea8111a77e4a9925
+size 274190
diff --git a/results/train/hyperbola/problem_0522.png b/results/train/hyperbola/problem_0522.png
new file mode 100644
index 0000000000000000000000000000000000000000..29279405825c5c91076bb4cf76b698c8535f7978
--- /dev/null
+++ b/results/train/hyperbola/problem_0522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11deb828c1482b3640c41be63847464f6515a74825ee8993b278752ac0fb4541
+size 260682
diff --git a/results/train/hyperbola/problem_0523.png b/results/train/hyperbola/problem_0523.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fec93a580a2490492cb29044bd42e0f0970d3e4
--- /dev/null
+++ b/results/train/hyperbola/problem_0523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:417373469c2bbd7f79652c36d82628b489fd0a14b3dd7327fcebfbb1e50da018
+size 234302
diff --git a/results/train/hyperbola/problem_0525.png b/results/train/hyperbola/problem_0525.png
new file mode 100644
index 0000000000000000000000000000000000000000..a16c532a7cb8c35958624c5165b095bc8ff4348b
--- /dev/null
+++ b/results/train/hyperbola/problem_0525.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56f1346600a3f8c3599a0bf7ef742c5babf81234944db3f1b77c87784783c59c
+size 247455
diff --git a/results/train/hyperbola/problem_0531.png b/results/train/hyperbola/problem_0531.png
new file mode 100644
index 0000000000000000000000000000000000000000..aea4be4998db8c70abb58fcfd2a209817cefd83c
--- /dev/null
+++ b/results/train/hyperbola/problem_0531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cb17bf68ae19cd923a85a2aa7d083dae815a4363552d04b3b3c7ec3da3a9a1d
+size 266691
diff --git a/results/train/hyperbola/problem_0532.png b/results/train/hyperbola/problem_0532.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0cd8eb51f2ed9a566d44764c12de80e8171e5fa
--- /dev/null
+++ b/results/train/hyperbola/problem_0532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e0f99e152f83f95047ea2483ed3b074f2730a0070b218dcd9b896c471a20db5
+size 265781
diff --git a/results/train/hyperbola/problem_0533.png b/results/train/hyperbola/problem_0533.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c48fd5b73bb354b10892162c2800a955bc8c426
--- /dev/null
+++ b/results/train/hyperbola/problem_0533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ebd0d5010c451462a4ced2b56976875dcf6ba7f30b1c58ad7b6d0557dd6274e
+size 274422
diff --git a/results/train/hyperbola/problem_0534.png b/results/train/hyperbola/problem_0534.png
new file mode 100644
index 0000000000000000000000000000000000000000..355dbf4849f62d764c1ced6cae29efa07788d66d
--- /dev/null
+++ b/results/train/hyperbola/problem_0534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c388b84661a250ffc432800994c6b1153ed24b1fd42e6b35372ee66d30ccc07
+size 264371
diff --git a/results/train/hyperbola/problem_0535.png b/results/train/hyperbola/problem_0535.png
new file mode 100644
index 0000000000000000000000000000000000000000..e711e3113234d8b74ae9b3bb6bc8b4762421b155
--- /dev/null
+++ b/results/train/hyperbola/problem_0535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccf4411128f9b1d2d7fe163ca59b88b512606d190510d0931a1e828644ea159f
+size 263947
diff --git a/results/train/hyperbola/problem_0536.png b/results/train/hyperbola/problem_0536.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc53760cb71b41be7a740853e4b03221a9c52498
--- /dev/null
+++ b/results/train/hyperbola/problem_0536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29f5fcf52a702e745aa71f35b9e3762404ebc6d3e65deacb4366203ff770134a
+size 280295
diff --git a/results/train/hyperbola/problem_0538.png b/results/train/hyperbola/problem_0538.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9d4daa23428b94870aefc4f72306aa023822204
--- /dev/null
+++ b/results/train/hyperbola/problem_0538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cea85bcece89ddc1203fbefd2e86f418a162c93ddb8582fde4818cbd60c95d3
+size 271125
diff --git a/results/train/hyperbola/problem_0542.png b/results/train/hyperbola/problem_0542.png
new file mode 100644
index 0000000000000000000000000000000000000000..c35bde9c1de1f12a44e2cae950378fb967a0af68
--- /dev/null
+++ b/results/train/hyperbola/problem_0542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1447f6a3448c6fb0294887afc0b4a982115558aa5eabaac2478acbd3fd7df5c4
+size 257938
diff --git a/results/train/hyperbola/problem_0546.png b/results/train/hyperbola/problem_0546.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba9f70fd62477226399f3bc839bb83277dcd0128
--- /dev/null
+++ b/results/train/hyperbola/problem_0546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:570cdab35c5d00eb8aba13130cb9f2d94f07237b7d017e3e236e383c870c4a4a
+size 277838
diff --git a/results/train/hyperbola/problem_0547.png b/results/train/hyperbola/problem_0547.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eaa6728ca6faca4bdbebcf92a64a72e1c202953
--- /dev/null
+++ b/results/train/hyperbola/problem_0547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fcb656c9a1eff0a5903e72a61d60c6b0ac6b8ebabd463f882c7a1ef46443d591
+size 262966
diff --git a/results/train/hyperbola/problem_0548.png b/results/train/hyperbola/problem_0548.png
new file mode 100644
index 0000000000000000000000000000000000000000..3be2b415e0d63efa3a213dd960d0abbaef0d4ca9
--- /dev/null
+++ b/results/train/hyperbola/problem_0548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62cd98c5a252fb6722067a454f6508bcd776a35b6cf984000c74ba6fd08ef66d
+size 255205
diff --git a/results/train/hyperbola/problem_0549.png b/results/train/hyperbola/problem_0549.png
new file mode 100644
index 0000000000000000000000000000000000000000..73ca5089e2e1bc2d018f916fb2c9aad64135038f
--- /dev/null
+++ b/results/train/hyperbola/problem_0549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c5fe9f86f9181a0a6aa399e5f8a5b6bef0723db150987be8de8597f061cc7c0
+size 296609
diff --git a/results/train/hyperbola/problem_0555.png b/results/train/hyperbola/problem_0555.png
new file mode 100644
index 0000000000000000000000000000000000000000..3047686a2bd4b0c3e04170d2de820b0d55669bbe
--- /dev/null
+++ b/results/train/hyperbola/problem_0555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7555474cc4afbe0cbe30235802c1fae73432146e5088a338f04713d64c71c8c
+size 274345
diff --git a/results/train/hyperbola/problem_0556.png b/results/train/hyperbola/problem_0556.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd7d2899862528058e6be971f7723c9eee558db3
--- /dev/null
+++ b/results/train/hyperbola/problem_0556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e45f1c24b8d480a4d7e0a14f62e2c77bf33a76e3094e80454e10b0c69be58d4
+size 275170
diff --git a/results/train/hyperbola/problem_0570.png b/results/train/hyperbola/problem_0570.png
new file mode 100644
index 0000000000000000000000000000000000000000..886dbf3c031618fd1d6661f006ae877d980e2e40
--- /dev/null
+++ b/results/train/hyperbola/problem_0570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a145ec8a8b51c3890bd255bc2ef5f62f236f0bc7c6fa9c6014eb139204b72348
+size 264173
diff --git a/results/train/hyperbola/problem_0575.png b/results/train/hyperbola/problem_0575.png
new file mode 100644
index 0000000000000000000000000000000000000000..9704f0621956c9e3dcf285345579aa3f465ec85f
--- /dev/null
+++ b/results/train/hyperbola/problem_0575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4066b98eb72ee51245578c8acccb0f06f1e10d6bf19bc0ebd36365d65cc31373
+size 257681
diff --git a/results/train/hyperbola/problem_0580.png b/results/train/hyperbola/problem_0580.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc6c11c7fc593b9182a023c8d8dd1d6c45c67e75
--- /dev/null
+++ b/results/train/hyperbola/problem_0580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34d4fdb82be68c1b259720a1f6987facd9836f3a53edffef240f527b00f78547
+size 233601
diff --git a/results/train/hyperbola/problem_0587.png b/results/train/hyperbola/problem_0587.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fdd367cd87936200faadf110bc6a25bc998d2a8
--- /dev/null
+++ b/results/train/hyperbola/problem_0587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7f78bc89b2d53a38e2c86c6aae95f160ce6dafebe84035646fc09155a7efeb9
+size 264113
diff --git a/results/train/hyperbola/problem_0589.png b/results/train/hyperbola/problem_0589.png
new file mode 100644
index 0000000000000000000000000000000000000000..3969333e02765b546608db215b59c1b12a73aec5
--- /dev/null
+++ b/results/train/hyperbola/problem_0589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59f6b5f003fc09a6d88f2b4d6974edb666db57b97c726f7c5a0635c836d3dceb
+size 266192
diff --git a/results/train/hyperbola/problem_0591.png b/results/train/hyperbola/problem_0591.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ba40e4af58de064484a775e7d365254199848b2
--- /dev/null
+++ b/results/train/hyperbola/problem_0591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:855b665a695e7d4ead1d0569ed90dd74458403adf56ac61d53cef81eb1f3ca76
+size 241119
diff --git a/results/train/hyperbola/problem_0599.png b/results/train/hyperbola/problem_0599.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8e78a4944d3f322d8f6c08e3216c60892fd802b
--- /dev/null
+++ b/results/train/hyperbola/problem_0599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea4c52dd10aaa6dc9a0949485f6a25ea44824ac1533b9253565bd58eb614e514
+size 264176
diff --git a/results/train/hyperbola/problem_0600.png b/results/train/hyperbola/problem_0600.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddb5024aabce24d06e5134a87a56c4ce622bccdd
--- /dev/null
+++ b/results/train/hyperbola/problem_0600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8d05ca7aa84cf3a179896b9ade6db5fd920492fb5c4aaad599d59370f095557
+size 253064
diff --git a/results/train/hyperbola/problem_0603.png b/results/train/hyperbola/problem_0603.png
new file mode 100644
index 0000000000000000000000000000000000000000..6991ad9db2b4d8092107abc6d7b7e7376ceca9cd
--- /dev/null
+++ b/results/train/hyperbola/problem_0603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33823981ce77f1fcaa0e82b9919fd5aef6a3976f3e266fe317860fa34ec81eae
+size 258429
diff --git a/results/train/hyperbola/problem_0605.png b/results/train/hyperbola/problem_0605.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d079992a0d4e963062979e114e8aac177e992c0
--- /dev/null
+++ b/results/train/hyperbola/problem_0605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9994160984322b2a7d8769ec1a5a8e8acc1711495334de8c9d633f3095a2302
+size 261537
diff --git a/results/train/hyperbola/problem_0610.png b/results/train/hyperbola/problem_0610.png
new file mode 100644
index 0000000000000000000000000000000000000000..47d728fabc7549c3e600241a3a1a7d7550b39c2e
--- /dev/null
+++ b/results/train/hyperbola/problem_0610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d7c0d896032f5114954c6359fea930c6cfc027b1b6cef1a23a8e291de2572e7
+size 258644
diff --git a/results/train/hyperbola/problem_0613.png b/results/train/hyperbola/problem_0613.png
new file mode 100644
index 0000000000000000000000000000000000000000..df3afcf654da2e90a057026132e185862fe6bb2b
--- /dev/null
+++ b/results/train/hyperbola/problem_0613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e95fab5fa68210a2df111e18a521498d765770f84078e7facce3345767646bfc
+size 259268
diff --git a/results/train/hyperbola/problem_0623.png b/results/train/hyperbola/problem_0623.png
new file mode 100644
index 0000000000000000000000000000000000000000..93d86b5858c2691aa92fc528055a96fea0e1235b
--- /dev/null
+++ b/results/train/hyperbola/problem_0623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c4bfeb2310a3a466bb89de18d1893f1d9a9b903cebcdc8c67870d6380997157
+size 269891
diff --git a/results/train/hyperbola/problem_0626.png b/results/train/hyperbola/problem_0626.png
new file mode 100644
index 0000000000000000000000000000000000000000..f819e26097f00d3bc087b9938e4e326d318bb8c9
--- /dev/null
+++ b/results/train/hyperbola/problem_0626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fcf4437f292169d0f6b888747dfb94bf72a07914de494bffd3acb5c37fe4e50
+size 269064
diff --git a/results/train/hyperbola/problem_0634.png b/results/train/hyperbola/problem_0634.png
new file mode 100644
index 0000000000000000000000000000000000000000..662f2f4df4608e7f63c40e07777b38f18c014ef5
--- /dev/null
+++ b/results/train/hyperbola/problem_0634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:892b257916a1406b7421cb699988b6320aac22610c983e7c8fdd48b9422fa9b0
+size 294059
diff --git a/results/train/hyperbola/problem_0636.png b/results/train/hyperbola/problem_0636.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3890f682b14b2fc7d0e68a049e3df5fb3bd6ea6
--- /dev/null
+++ b/results/train/hyperbola/problem_0636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0911a3f567a31d1ed688b141eb72255f66fd4d63e140aba8e687dce3f4d9f06
+size 268264
diff --git a/results/train/hyperbola/problem_0638.png b/results/train/hyperbola/problem_0638.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae6cd6c72973292fab19611daed90538729f650e
--- /dev/null
+++ b/results/train/hyperbola/problem_0638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:205f7480baa69cd519e4e148dd56724dc1d41d2bfbd976e68ce141f18d49cfd8
+size 277143
diff --git a/results/train/hyperbola/problem_0642.png b/results/train/hyperbola/problem_0642.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d50a507fc7e7e12c80a4f4d140d5efa4680fe33
--- /dev/null
+++ b/results/train/hyperbola/problem_0642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19766a4a73f8230ba5d614455bc759d968c5e4765dae4dd99b3888a784ae1d89
+size 268115
diff --git a/results/train/hyperbola/problem_0644.png b/results/train/hyperbola/problem_0644.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4d31d568a61330bb71cdac381c2981565ae7174
--- /dev/null
+++ b/results/train/hyperbola/problem_0644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a57436c7413b9243b7d85c30e3de24b0d5a3cc5cdbf83f9dc719c8a75141c72
+size 289352
diff --git a/results/train/hyperbola/problem_0647.png b/results/train/hyperbola/problem_0647.png
new file mode 100644
index 0000000000000000000000000000000000000000..860678fe507a4f3daf50d2fa68186f8d72112779
--- /dev/null
+++ b/results/train/hyperbola/problem_0647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f10dce519002f4f777ab749fbf06e39c563bac4715661ead0399014ea4f20ae2
+size 259635
diff --git a/results/train/hyperbola/problem_0648.png b/results/train/hyperbola/problem_0648.png
new file mode 100644
index 0000000000000000000000000000000000000000..1543a345e4e539aabe0e5919e1255a8996c2a038
--- /dev/null
+++ b/results/train/hyperbola/problem_0648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77394b28d7076c3aa1a600f72e6bc614ced95227414605f99649dd265ff348af
+size 268589
diff --git a/results/train/hyperbola/problem_0649.png b/results/train/hyperbola/problem_0649.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c9eaa40b53523d68446a5c3fe1c831a8ca6dd0e
--- /dev/null
+++ b/results/train/hyperbola/problem_0649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2aa3c95d4846cb92b27789d29ba1e435da7a0e29769e85e7bf2df907b8afacb9
+size 254247
diff --git a/results/train/hyperbola/problem_0659.png b/results/train/hyperbola/problem_0659.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf3bcaa8d5ff25cf39ed03eebb6f3bae72694f60
--- /dev/null
+++ b/results/train/hyperbola/problem_0659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e307ec0eba1df66cd65ac2b70f9db49e0f9da9c1fa26a085c7f7a9d1dc617b40
+size 236791
diff --git a/results/train/hyperbola/problem_0660.png b/results/train/hyperbola/problem_0660.png
new file mode 100644
index 0000000000000000000000000000000000000000..e03f7f9679336b68d8fe8416222ba815acbc0e2d
--- /dev/null
+++ b/results/train/hyperbola/problem_0660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eef0017abcfefa227e2f97ba85d74ee8cf4fe5d7069fc6ba40f2d6d0cfa1b0d4
+size 248992
diff --git a/results/train/hyperbola/problem_0662.png b/results/train/hyperbola/problem_0662.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8d62fd06f50f6de5124340eede3e402cc1cfca4
--- /dev/null
+++ b/results/train/hyperbola/problem_0662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b00ce6c19d94a441581b011902b84da58b257bb0c22c83286f2b6f0dd818d678
+size 229903
diff --git a/results/train/hyperbola/problem_0663.png b/results/train/hyperbola/problem_0663.png
new file mode 100644
index 0000000000000000000000000000000000000000..f71e8eab3c89d7448650e25e66d86c6b3f560465
--- /dev/null
+++ b/results/train/hyperbola/problem_0663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca4e723a4670b3923de5a8355d0826452093bd4b7240bdf08f5ec57f2d483809
+size 275610
diff --git a/results/train/hyperbola/problem_0664.png b/results/train/hyperbola/problem_0664.png
new file mode 100644
index 0000000000000000000000000000000000000000..972180a518c81d8a3aab2d063c6acad93eb205a6
--- /dev/null
+++ b/results/train/hyperbola/problem_0664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94388f42554cf74ce0706076ee7729dd2fe1636ff66802227e6cd7d89d7c5ecc
+size 303979
diff --git a/results/train/hyperbola/problem_0666.png b/results/train/hyperbola/problem_0666.png
new file mode 100644
index 0000000000000000000000000000000000000000..85a88e56bfa7c879061a09553e35666c118b3a2c
--- /dev/null
+++ b/results/train/hyperbola/problem_0666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:553c883ad7fcca227d8ff590ab1ec0aa1c867e2c820ad9875057665af9ecdb3a
+size 260765
diff --git a/results/train/hyperbola/problem_0667.png b/results/train/hyperbola/problem_0667.png
new file mode 100644
index 0000000000000000000000000000000000000000..d39d4ed751c7f86f74b00300501480c34bdd8146
--- /dev/null
+++ b/results/train/hyperbola/problem_0667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6161e9f0da209d39395a9a3f84c0c5a403b68284d4cbb892c4aa8c60e0ff3dd6
+size 283421
diff --git a/results/train/hyperbola/problem_0671.png b/results/train/hyperbola/problem_0671.png
new file mode 100644
index 0000000000000000000000000000000000000000..4868b2acd74b49ff06f6c679f25368e9fca4ad2a
--- /dev/null
+++ b/results/train/hyperbola/problem_0671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:185bd29e379b77ce35392cc14d949048e2d899c42edfc5468fa307c4756dd242
+size 257158
diff --git a/results/train/hyperbola/problem_0677.png b/results/train/hyperbola/problem_0677.png
new file mode 100644
index 0000000000000000000000000000000000000000..60c85b8ded257710e5dcd95de0983e1739449c94
--- /dev/null
+++ b/results/train/hyperbola/problem_0677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eeb2f7fe8fe7325e2bb139ee46add5714e2620a8cf53e90d2c259fbdce0d3941
+size 293781
diff --git a/results/train/hyperbola/problem_0679.png b/results/train/hyperbola/problem_0679.png
new file mode 100644
index 0000000000000000000000000000000000000000..5cb40ef85352447418956320f3059d35c946160c
--- /dev/null
+++ b/results/train/hyperbola/problem_0679.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:475ed415f397f8a6b4acf6b9ff0a4884f48c66a77017a5ecfda47cb795c8f95d
+size 275536
diff --git a/results/train/hyperbola/problem_0680.png b/results/train/hyperbola/problem_0680.png
new file mode 100644
index 0000000000000000000000000000000000000000..5efa57f61873845d788ac63a8d5d1b9c358a41a8
--- /dev/null
+++ b/results/train/hyperbola/problem_0680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b1f63b75afdda2d1baf631e6b74735d5d87a8b55a005204518b86ae93841ef9
+size 266502
diff --git a/results/train/hyperbola/problem_0681.png b/results/train/hyperbola/problem_0681.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c0308985034931178abbc0bd5aeb51de6b97a84
--- /dev/null
+++ b/results/train/hyperbola/problem_0681.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07ad8009536584aea4813eadf09c746fe466e87de91431b17e7f74dc0a7db9f4
+size 248176
diff --git a/results/train/hyperbola/problem_0688.png b/results/train/hyperbola/problem_0688.png
new file mode 100644
index 0000000000000000000000000000000000000000..86008656bda99ed0777e7a416f4214c9901e2f01
--- /dev/null
+++ b/results/train/hyperbola/problem_0688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2124887c9b38f080303b43b12b17a54d824f1df1dba4211db14428ee7b514e1
+size 259473
diff --git a/results/train/hyperbola/problem_0692.png b/results/train/hyperbola/problem_0692.png
new file mode 100644
index 0000000000000000000000000000000000000000..05b3bcb1f30a907f26a987134941f23f258ddcc2
--- /dev/null
+++ b/results/train/hyperbola/problem_0692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1afdc4a4ef63a1a991cd608e85fcde4e4f751f2bc4d928ee332bba1784f7b327
+size 269416
diff --git a/results/train/hyperbola/problem_0694.png b/results/train/hyperbola/problem_0694.png
new file mode 100644
index 0000000000000000000000000000000000000000..f516e91d330d704ce300097984960f7559e0b8bd
--- /dev/null
+++ b/results/train/hyperbola/problem_0694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d727d816bbb2aad8a7e908695fab94d33483176758943f13c844ff15a22e3410
+size 273922
diff --git a/results/train/hyperbola/problem_0695.png b/results/train/hyperbola/problem_0695.png
new file mode 100644
index 0000000000000000000000000000000000000000..79eb5facf1a3573e4635fb9d4ca2e4dfdf664995
--- /dev/null
+++ b/results/train/hyperbola/problem_0695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67af82c6e4450f70634ed832be1a2a1df62ab7252a446346db300830b521e66a
+size 257724
diff --git a/results/train/hyperbola/problem_0698.png b/results/train/hyperbola/problem_0698.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fea1462375f2adee70eaae45c120887e1722c3e
--- /dev/null
+++ b/results/train/hyperbola/problem_0698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2ea829d25e3e3caf69e6fdd149378e870310a663e5422921f093afdc9d5b5b7
+size 257944
diff --git a/results/train/hyperbola/problem_0712.png b/results/train/hyperbola/problem_0712.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c9d25c8e1fd5707db48f0f7b39692e6a889050c
--- /dev/null
+++ b/results/train/hyperbola/problem_0712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f2abbcd57711c1013feeaf6ad35f249724b1b6767b0259be5677ff56635b3ae
+size 269953
diff --git a/results/train/hyperbola/problem_0714.png b/results/train/hyperbola/problem_0714.png
new file mode 100644
index 0000000000000000000000000000000000000000..9074ef06f1ce40e80ff230e8b602e6385b21cf1f
--- /dev/null
+++ b/results/train/hyperbola/problem_0714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6de928ca27a1340694d8cd4129483791b25c475656919f7a8c68f827bfa150cc
+size 245990
diff --git a/results/train/hyperbola/problem_0723.png b/results/train/hyperbola/problem_0723.png
new file mode 100644
index 0000000000000000000000000000000000000000..15f061862020acb672187a3349511271d7586ab0
--- /dev/null
+++ b/results/train/hyperbola/problem_0723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a02238f81bbd7d54f59e0f71c19084420e450d1979f1d7865cf3b081db3d9ba6
+size 228112
diff --git a/results/train/hyperbola/problem_0725.png b/results/train/hyperbola/problem_0725.png
new file mode 100644
index 0000000000000000000000000000000000000000..32df8619fe3fe94fe70963a3f3e72a8bb401cf2f
--- /dev/null
+++ b/results/train/hyperbola/problem_0725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a03a786823bf198465ac2f6ace8df9a27640019c4d9f18efbbde7737ba50478f
+size 266866
diff --git a/results/train/hyperbola/problem_0727.png b/results/train/hyperbola/problem_0727.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3dc69ec6d75e18f15f3dfad13b7ce5599961385
--- /dev/null
+++ b/results/train/hyperbola/problem_0727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2283b5eb92c9d85b27b4972589928bbb09c59e8325b24f9d9116e344ef4518ec
+size 264860
diff --git a/results/train/hyperbola/problem_0749.png b/results/train/hyperbola/problem_0749.png
new file mode 100644
index 0000000000000000000000000000000000000000..507a1d7b8c621599178be1e06f9e40273ace1374
--- /dev/null
+++ b/results/train/hyperbola/problem_0749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:794d86e540e0e5b801f5b3b806ad0ce951ed225ab64c8e993ad31bc5c41cb6ac
+size 275685
diff --git a/results/train/hyperbola/problem_0750.png b/results/train/hyperbola/problem_0750.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae42a0879ee55787613d75b41035695546c1b959
--- /dev/null
+++ b/results/train/hyperbola/problem_0750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c32ebe1a3aa3338acb97270265cbedc67ef46afa60bf03146f4981d4e13f2e8f
+size 274705
diff --git a/results/train/hyperbola/problem_0752.png b/results/train/hyperbola/problem_0752.png
new file mode 100644
index 0000000000000000000000000000000000000000..31e63b0faa4cfb93a165a7c754ff51eaf51a3660
--- /dev/null
+++ b/results/train/hyperbola/problem_0752.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35ec41a82667275e0811601a4e45ee8bd2008cc3b2d4cc6bf52708c1effe302c
+size 265429
diff --git a/results/train/hyperbola/problem_0754.png b/results/train/hyperbola/problem_0754.png
new file mode 100644
index 0000000000000000000000000000000000000000..89481dc4744fdfe5f5fad9154699df8676777e7e
--- /dev/null
+++ b/results/train/hyperbola/problem_0754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:665eca2db9be8832b7c9c477850b3c3062a48fd29829018c0fd6ebb708f72306
+size 275378
diff --git a/results/train/hyperbola/problem_0758.png b/results/train/hyperbola/problem_0758.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1876227decb937bafb22ec4658387d3ac9e2e34
--- /dev/null
+++ b/results/train/hyperbola/problem_0758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:533517ab99852addaa907143d34840f850f1ad773ec262fa1e8f31c6e5f5bd44
+size 273212
diff --git a/results/train/hyperbola/problem_0759.png b/results/train/hyperbola/problem_0759.png
new file mode 100644
index 0000000000000000000000000000000000000000..44a3baf7e97214db9d74a8a4f46cf15ddb7e308b
--- /dev/null
+++ b/results/train/hyperbola/problem_0759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:481bf4e4e2b7409292740ebd2bc30467001f65b5cf782df55cf98407636083b4
+size 259653
diff --git a/results/train/hyperbola/problem_0763.png b/results/train/hyperbola/problem_0763.png
new file mode 100644
index 0000000000000000000000000000000000000000..086012745c94ab6522292fedca0e578d455e9c42
--- /dev/null
+++ b/results/train/hyperbola/problem_0763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39d315297d1fc824f695b4a939e12da8c6a19dbbe3d8454ab93bc1bc77f245a1
+size 297105
diff --git a/results/train/hyperbola/problem_0768.png b/results/train/hyperbola/problem_0768.png
new file mode 100644
index 0000000000000000000000000000000000000000..79d7c32a7add5865cd749d3d35913ab4893d951c
--- /dev/null
+++ b/results/train/hyperbola/problem_0768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:618408dd367f4494e73faf5ce0a59dea7535597a0d61b2c67a6509e7070ffead
+size 260955
diff --git a/results/train/hyperbola/problem_0774.png b/results/train/hyperbola/problem_0774.png
new file mode 100644
index 0000000000000000000000000000000000000000..17c1a9a85beef177a0bc4dcd7c344ec6674ecf2d
--- /dev/null
+++ b/results/train/hyperbola/problem_0774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e18c7d7e8cae78beb01f2f7fa0aaa6fc974aaa4161ef89be7c9ea2910e87c766
+size 270496
diff --git a/results/train/hyperbola/problem_0777.png b/results/train/hyperbola/problem_0777.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e428b16a6164e570edaf4e378c65b4192d55686
--- /dev/null
+++ b/results/train/hyperbola/problem_0777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54ca0fb10e1a7609c1705ec12047556d2f3dae406016473c1a24b1f925640dc1
+size 275233
diff --git a/results/train/hyperbola/problem_0787.png b/results/train/hyperbola/problem_0787.png
new file mode 100644
index 0000000000000000000000000000000000000000..02351e511d5dd1c28465aa29f7c61ab058d83e76
--- /dev/null
+++ b/results/train/hyperbola/problem_0787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4acd82df790a2a9b68e07e0f4d9f0ff7b69b3b9f7408d3d0d04beafa5a35691a
+size 233162
diff --git a/results/train/hyperbola/problem_0789.png b/results/train/hyperbola/problem_0789.png
new file mode 100644
index 0000000000000000000000000000000000000000..223d61a06c163e05d4b0fc69e33aee6095accb38
--- /dev/null
+++ b/results/train/hyperbola/problem_0789.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e6099933c55bbc2720ff60328eb0412606c2036a0e1036569f5253f9c5306d3
+size 290107
diff --git a/results/train/hyperbola/problem_0792.png b/results/train/hyperbola/problem_0792.png
new file mode 100644
index 0000000000000000000000000000000000000000..acf27f7a874b5cc2697c16b11f6abf52c8532791
--- /dev/null
+++ b/results/train/hyperbola/problem_0792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d8d97da5a9e83aaf0522d07fd0dc7ffb209c51a1ef85b136a35ce429e0e2cef
+size 227112
diff --git a/results/train/hyperbola/problem_0800.png b/results/train/hyperbola/problem_0800.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8bf306c1e99b465d6068af4af2bc915efaf0e2f
--- /dev/null
+++ b/results/train/hyperbola/problem_0800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b90907ac8ea3ca91b0b739a688d79d3f239ed2885286e4b7896eab999546a78f
+size 269902
diff --git a/results/train/hyperbola/problem_0801.png b/results/train/hyperbola/problem_0801.png
new file mode 100644
index 0000000000000000000000000000000000000000..661295daeea88495649802346e8c050ddf108133
--- /dev/null
+++ b/results/train/hyperbola/problem_0801.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ccf803b27d4f307a75c9c87d5f1aea0de39d223cb580f461eeddaf3751f9a2c
+size 264251
diff --git a/results/train/hyperbola/problem_0806.png b/results/train/hyperbola/problem_0806.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b3d6f1d6010810652d78227a77cc57417effc5c
--- /dev/null
+++ b/results/train/hyperbola/problem_0806.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb9180f07679857a961e1b41fa0b0ea8c064bcfdb29f12c569cfba705ad96039
+size 255495
diff --git a/results/train/hyperbola/problem_0816.png b/results/train/hyperbola/problem_0816.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7a1c5e7505b55cedcf242c78fe9108d100b5ca6
--- /dev/null
+++ b/results/train/hyperbola/problem_0816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1455bd33064704f3c967c963818ac3868de37b23911888ba28275d80848d5067
+size 275727
diff --git a/results/train/hyperbola/problem_0818.png b/results/train/hyperbola/problem_0818.png
new file mode 100644
index 0000000000000000000000000000000000000000..45abe8870d5dab1532454a89b9b02c8060b97bcf
--- /dev/null
+++ b/results/train/hyperbola/problem_0818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad40f8005852489bc3e598dc63d359b87b729713ff93f360d6e1c72534e389ba
+size 272910
diff --git a/results/train/hyperbola/problem_0826.png b/results/train/hyperbola/problem_0826.png
new file mode 100644
index 0000000000000000000000000000000000000000..d519859e6a62b07798002f953709507a554f9d4e
--- /dev/null
+++ b/results/train/hyperbola/problem_0826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f338ffdf11fac4be89f89a9bbdf4b089e3f7b3e2d7d55268d96468ac69ada68
+size 268387
diff --git a/results/train/hyperbola/problem_0830.png b/results/train/hyperbola/problem_0830.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7c4bb09ab4f6d474d85de0c65cfb13f79cec3ac
--- /dev/null
+++ b/results/train/hyperbola/problem_0830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2c8d551861892688731d223b35da787ba4753c712df9897ed930b05fb510db4
+size 262848
diff --git a/results/train/hyperbola/problem_0831.png b/results/train/hyperbola/problem_0831.png
new file mode 100644
index 0000000000000000000000000000000000000000..333946627e2d7d464d30695eeee689398a305780
--- /dev/null
+++ b/results/train/hyperbola/problem_0831.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b1b7f01ac86d7a45b53ddbc9d930d71312c54cf696b894aa2208f0a6a9b98d3
+size 264394
diff --git a/results/train/hyperbola/problem_0832.png b/results/train/hyperbola/problem_0832.png
new file mode 100644
index 0000000000000000000000000000000000000000..bddd40d770205a8f8d8a5279f8c518c83d28ab4b
--- /dev/null
+++ b/results/train/hyperbola/problem_0832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06d1e2c8a2479a948a11b4bd5e80272a11a6a0ed84ea07de902154aa0a4223e1
+size 283590
diff --git a/results/train/hyperbola/problem_0834.png b/results/train/hyperbola/problem_0834.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ff3fbf9b7f86c77434c3b39f1c53c82477a23f6
--- /dev/null
+++ b/results/train/hyperbola/problem_0834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb208bab969cd6220d36923b85a78742af15dbb19628c3078c2a042156ba72ad
+size 266286
diff --git a/results/train/hyperbola/problem_0846.png b/results/train/hyperbola/problem_0846.png
new file mode 100644
index 0000000000000000000000000000000000000000..2afb37f82e7800afc7bdcd7212563ab59e536c82
--- /dev/null
+++ b/results/train/hyperbola/problem_0846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ee4666f02cd2df5faa8e70424c95145fe48f6914fdf612d1624e9e7e638ea95
+size 259726
diff --git a/results/train/hyperbola/problem_0847.png b/results/train/hyperbola/problem_0847.png
new file mode 100644
index 0000000000000000000000000000000000000000..80eacf4c458d93347f721db9e7e0e70105d34c23
--- /dev/null
+++ b/results/train/hyperbola/problem_0847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b49ee4c58f1ba4e28fc50dbeb417e692b229cf372e6017be9f9e1bb8f6cb32a
+size 257191
diff --git a/results/train/hyperbola/problem_0848.png b/results/train/hyperbola/problem_0848.png
new file mode 100644
index 0000000000000000000000000000000000000000..05037e3e24cf6cdf98b7d80351845311650c2add
--- /dev/null
+++ b/results/train/hyperbola/problem_0848.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:519618fb07d48423edd2309744b1fa59b4be1114120a3606c51f352c65634b0d
+size 240383
diff --git a/results/train/hyperbola/problem_0849.png b/results/train/hyperbola/problem_0849.png
new file mode 100644
index 0000000000000000000000000000000000000000..da6c49b443aacee1241c55e54d34ea435d5bf278
--- /dev/null
+++ b/results/train/hyperbola/problem_0849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11aba5c5426f4cfa3a5b9f7367f072280d3a974bbe136e22c868d6d1acd641c2
+size 255166
diff --git a/results/train/hyperbola/problem_0854.png b/results/train/hyperbola/problem_0854.png
new file mode 100644
index 0000000000000000000000000000000000000000..a886c783cd3e6d44f097ef66b93ffd3f089fccfa
--- /dev/null
+++ b/results/train/hyperbola/problem_0854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4277d29f54cc291647bbcd8080c3fbe8d4d1a783ff203f20affd0e0e0e7544a2
+size 272931
diff --git a/results/train/hyperbola/problem_0864.png b/results/train/hyperbola/problem_0864.png
new file mode 100644
index 0000000000000000000000000000000000000000..3daa3a05f4a08b377a298a3fcc875c248c10bfd6
--- /dev/null
+++ b/results/train/hyperbola/problem_0864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:816c023094c90745fe3fca844e47a75c52022b769adf265d4cf20cc9a2b582d6
+size 259771
diff --git a/results/train/hyperbola/problem_0866.png b/results/train/hyperbola/problem_0866.png
new file mode 100644
index 0000000000000000000000000000000000000000..34aeaa5779df499eb05cbb38a00b2fa595ec1719
--- /dev/null
+++ b/results/train/hyperbola/problem_0866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48918cedf3465fd418d75fe35b8998bf3ea7f16469b6329a4270153f804e04f5
+size 253429
diff --git a/results/train/hyperbola/problem_0868.png b/results/train/hyperbola/problem_0868.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6553e349f7b3a7c7c3744a104716b8625729ae5
--- /dev/null
+++ b/results/train/hyperbola/problem_0868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9c9dfbf32cd930d2e3d8a46d9ac09adf79b0e50914680115d4764593b602536
+size 277894
diff --git a/results/train/hyperbola/problem_0871.png b/results/train/hyperbola/problem_0871.png
new file mode 100644
index 0000000000000000000000000000000000000000..44644b86898b3645ecce6866b2f462a1c5ea8a65
--- /dev/null
+++ b/results/train/hyperbola/problem_0871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17914678a5fe4e8c44513771ec236f3397797cfd0fb82562411f7c11a964efa9
+size 265310
diff --git a/results/train/hyperbola/problem_0873.png b/results/train/hyperbola/problem_0873.png
new file mode 100644
index 0000000000000000000000000000000000000000..99805ada949a2d9f981fb26aa7fdfcb9acaf8664
--- /dev/null
+++ b/results/train/hyperbola/problem_0873.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:871263b2a03bae41b9e448b53dbebbf8753c8ac7843e7ad9effe5736cb48af2c
+size 260746
diff --git a/results/train/hyperbola/problem_0878.png b/results/train/hyperbola/problem_0878.png
new file mode 100644
index 0000000000000000000000000000000000000000..e889b1d51d4f367a46a94af674bf58b0c1e7f69b
--- /dev/null
+++ b/results/train/hyperbola/problem_0878.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22d53989a28d4a99233b26f53900d70b846782cbd5c0d49662c6b38d9bee590a
+size 270495
diff --git a/results/train/hyperbola/problem_0881.png b/results/train/hyperbola/problem_0881.png
new file mode 100644
index 0000000000000000000000000000000000000000..24f8a48655c3d3c266820e4877a0b5d8c78167d9
--- /dev/null
+++ b/results/train/hyperbola/problem_0881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72e3755a9e6d1defe8efb84571a58ce72f22c2568b55894d4c07ae09b20f37df
+size 242378
diff --git a/results/train/hyperbola/problem_0882.png b/results/train/hyperbola/problem_0882.png
new file mode 100644
index 0000000000000000000000000000000000000000..c63abd3fdbfcf98e826b7295b0161f78d697e267
--- /dev/null
+++ b/results/train/hyperbola/problem_0882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:316f67aa87549a51615084a7e61528c47ba66b8981c9658ee675215d4b87bc6d
+size 269317
diff --git a/results/train/hyperbola/problem_0885.png b/results/train/hyperbola/problem_0885.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e889fc16f52248f1e01ffd8cb267efcabacbe7c
--- /dev/null
+++ b/results/train/hyperbola/problem_0885.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6df73d96e646a655e735e687913571d8faa34718e50a11fb316a9853e5a2380
+size 263480
diff --git a/results/train/hyperbola/problem_0886.png b/results/train/hyperbola/problem_0886.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3e9ab05fcd3797cca063f1e54bd99d3f05939f1
--- /dev/null
+++ b/results/train/hyperbola/problem_0886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90c747dcef6f67d1bb384e1da01f836dfd82975629461701c9bee42f38c86735
+size 252459
diff --git a/results/train/hyperbola/problem_0890.png b/results/train/hyperbola/problem_0890.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1216b5b1589aa1616b684d0057320ef02b660d2
--- /dev/null
+++ b/results/train/hyperbola/problem_0890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9ee801ee2001d62666a51e1780dfcd85f01538231bc206cb3fc9c90ee72e1bc
+size 271646
diff --git a/results/train/hyperbola/problem_0898.png b/results/train/hyperbola/problem_0898.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f4d6afdc001c25527b57562d1fea6677009e3b2
--- /dev/null
+++ b/results/train/hyperbola/problem_0898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59ef584f730c8b55d6fa5d5cb328c83179700ece8d671842ecf0d55b727129ea
+size 269317
diff --git a/results/train/hyperbola/problem_0910.png b/results/train/hyperbola/problem_0910.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1729873bb672dcb3b9c59083a6036347d5a21d5
--- /dev/null
+++ b/results/train/hyperbola/problem_0910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:797e23859b0a7251f0a188d337638bcbe039e7382b64b372909480bfa1834b80
+size 269851
diff --git a/results/train/hyperbola/problem_0917.png b/results/train/hyperbola/problem_0917.png
new file mode 100644
index 0000000000000000000000000000000000000000..b782ff544d1926dc62e77e1177e7581b357ba94f
--- /dev/null
+++ b/results/train/hyperbola/problem_0917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67d0c2896397aafc4728c86f20186476389bfc6d11969bb9a6d49d59c62587dd
+size 265181
diff --git a/results/train/hyperbola/problem_0920.png b/results/train/hyperbola/problem_0920.png
new file mode 100644
index 0000000000000000000000000000000000000000..25c01d8459586d4e9b3d666cd1807789e4559950
--- /dev/null
+++ b/results/train/hyperbola/problem_0920.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edb425f1c6948ef9cd6098c70d92a9b8812e28ab5a05f3d09fbbc61d16f76c4f
+size 257186
diff --git a/results/train/hyperbola/problem_0926.png b/results/train/hyperbola/problem_0926.png
new file mode 100644
index 0000000000000000000000000000000000000000..c798fd568a57b06b80c2ebcf46850828cc4f1671
--- /dev/null
+++ b/results/train/hyperbola/problem_0926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8a7da127402babb89574055e97829bd010cbba109d4fe778fe0833271b31490
+size 274428
diff --git a/results/train/hyperbola/problem_0927.png b/results/train/hyperbola/problem_0927.png
new file mode 100644
index 0000000000000000000000000000000000000000..b15add5660747528cd96a15235adac033e4d1ca1
--- /dev/null
+++ b/results/train/hyperbola/problem_0927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc306ea8431bc19ce548def6b4a1d8d4b51d454346fce78f0e98c90d7cba72db
+size 252063
diff --git a/results/train/hyperbola/problem_0929.png b/results/train/hyperbola/problem_0929.png
new file mode 100644
index 0000000000000000000000000000000000000000..bae645ff4961da7461ac57f778844ae72cd258bd
--- /dev/null
+++ b/results/train/hyperbola/problem_0929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b576ccfd0e8e0ed00a122e34e515d41f8b5dd34065678e0a2d124a954836b3f5
+size 262394
diff --git a/results/train/hyperbola/problem_0930.png b/results/train/hyperbola/problem_0930.png
new file mode 100644
index 0000000000000000000000000000000000000000..4986b063784360924d924f99456840794b847cf3
--- /dev/null
+++ b/results/train/hyperbola/problem_0930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73f329f03fac2873bd9d4df52e55bd408383c508f236b8c4595308614a07c960
+size 269382
diff --git a/results/train/hyperbola/problem_0943.png b/results/train/hyperbola/problem_0943.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a5222b5a69b731f6dfd2dab5d480a327ea87754
--- /dev/null
+++ b/results/train/hyperbola/problem_0943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7d92a9f3a56c3511751653dfbbc09ce4c1c4bf9902bea4bc70ee05fb7083de1
+size 273196
diff --git a/results/train/hyperbola/problem_0949.png b/results/train/hyperbola/problem_0949.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdc6c11e4ce4226c2ab5c96d7bf4710241bc5248
--- /dev/null
+++ b/results/train/hyperbola/problem_0949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fe844bf468445eea1779b0bafbe2ef83cf7107ce1a76ab49bc49ef15177a3e1
+size 272521
diff --git a/results/train/hyperbola/problem_0954.png b/results/train/hyperbola/problem_0954.png
new file mode 100644
index 0000000000000000000000000000000000000000..30ff14f6bf2685b655ba99c6acfb0d94c223549d
--- /dev/null
+++ b/results/train/hyperbola/problem_0954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:051e444bb5aa32768dc556d9b6b547af61eea3c55c65c829989fb2a9396299a7
+size 269286
diff --git a/results/train/hyperbola/problem_0961.png b/results/train/hyperbola/problem_0961.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3d69ff570af1b13ea39f1e873344ba5dbde7dda
--- /dev/null
+++ b/results/train/hyperbola/problem_0961.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e7cf8e2c5d3629f366dc101666582fbafd8d175077f1adc523b8a9641d3824e
+size 274114
diff --git a/results/train/hyperbola/problem_0964.png b/results/train/hyperbola/problem_0964.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1d6d9035afb6b3c33e64d5e755c0f3b71d0db10
--- /dev/null
+++ b/results/train/hyperbola/problem_0964.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdf1d456731474f9eb1a8815aed797f6cc96f8714bfe1265bdfdbc918482100a
+size 258495
diff --git a/results/train/hyperbola/problem_0968.png b/results/train/hyperbola/problem_0968.png
new file mode 100644
index 0000000000000000000000000000000000000000..778584b72d585e45f2ffda0fd9f530a2191e675b
--- /dev/null
+++ b/results/train/hyperbola/problem_0968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f96f6a45707a06094d544832a6917405816e561cf602ec112cd07a63331beb6
+size 259612
diff --git a/results/train/hyperbola/problem_0978.png b/results/train/hyperbola/problem_0978.png
new file mode 100644
index 0000000000000000000000000000000000000000..399a1c959cf52a3780506dea005942c77c96d8ee
--- /dev/null
+++ b/results/train/hyperbola/problem_0978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77c86c1633269f1ea697b4bde59ba86836eee9af213f9a065eaece5bf308fa78
+size 272255
diff --git a/results/train/hyperbola/problem_0981.png b/results/train/hyperbola/problem_0981.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9f44d1a9b05897da54b26d2c0db98b168e470c0
--- /dev/null
+++ b/results/train/hyperbola/problem_0981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9189168b69626be675cd876a9805d1a2caf343fd46ba7f3f3d2c4f3172a82b4
+size 262005
diff --git a/results/train/hyperbola/problem_0985.png b/results/train/hyperbola/problem_0985.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad685488d85b99efca5060d8913c7776e76b5438
--- /dev/null
+++ b/results/train/hyperbola/problem_0985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce15e7713fa55e6e800f132626106ff2d0f0193a09a3373b6a48f52411119bf4
+size 257397
diff --git a/results/train/hyperbola/problem_0992.png b/results/train/hyperbola/problem_0992.png
new file mode 100644
index 0000000000000000000000000000000000000000..1751750f77ffe2360c6f12bb1d1bd40a4e8d41e8
--- /dev/null
+++ b/results/train/hyperbola/problem_0992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e6af468cfecc2db4ccfc60b738e308882f64aa1e29644521b56d1d2223e77c8
+size 259000
diff --git a/results/train/hyperbola/problem_0996.png b/results/train/hyperbola/problem_0996.png
new file mode 100644
index 0000000000000000000000000000000000000000..23fe14c92f7ee81d3168a14d657b2c4ef78a5388
--- /dev/null
+++ b/results/train/hyperbola/problem_0996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bba474a97971fb1298f8ebea7a9fcd97ba8057490f24b1bda29410f8248a3da
+size 261259
diff --git a/results/train/hyperbola/problem_1003.png b/results/train/hyperbola/problem_1003.png
new file mode 100644
index 0000000000000000000000000000000000000000..e160a8a97ea821169e10cb568cead6cd60b1e099
--- /dev/null
+++ b/results/train/hyperbola/problem_1003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:529f91aeb298ae84ecc9106da6d91c4ac68d80f85f0a77eb9924061a4a6f8da6
+size 273422
diff --git a/results/train/hyperbola/problem_1004.png b/results/train/hyperbola/problem_1004.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1b49718bb936dc6ee16426ede61f0bab9593186
--- /dev/null
+++ b/results/train/hyperbola/problem_1004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfc369d49b685ca98a4fe0f3d52d34132ab9c8496a33a39a967969d359a870af
+size 241830
diff --git a/results/train/hyperbola/problem_1014.png b/results/train/hyperbola/problem_1014.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd664deb1f0e81753f83a2bfacf1bfc0ac2ab8e4
--- /dev/null
+++ b/results/train/hyperbola/problem_1014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:563d18c462285328354bee3dd908304ae030be97c350e9015bf6b66acbe53a60
+size 276591
diff --git a/results/train/hyperbola/problem_1016.png b/results/train/hyperbola/problem_1016.png
new file mode 100644
index 0000000000000000000000000000000000000000..93aae739cf81aabac2164f2b0dc209d6b752c236
--- /dev/null
+++ b/results/train/hyperbola/problem_1016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bce3da716acd476147e40cfaa875014f0462b4e7ce7496c7addfdbe1abb066ec
+size 236070
diff --git a/results/train/hyperbola/problem_1021.png b/results/train/hyperbola/problem_1021.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e7c76b4b4bf0d82d5d605bd74fbfcdc65d47cb8
--- /dev/null
+++ b/results/train/hyperbola/problem_1021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49418dd48324a2f4c5d3ed97f40b5ba52e68d5530acbb3438493617e7d039be5
+size 264568
diff --git a/results/train/hyperbola/problem_1022.png b/results/train/hyperbola/problem_1022.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2d041f948708edef0ae2bb59d8587d6c6f00867
--- /dev/null
+++ b/results/train/hyperbola/problem_1022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c32894b0fe32292e85d5ad1f24aa32853e14db6ad99d37954a0740e4d56ce27f
+size 269284
diff --git a/results/train/hyperbola/problem_1025.png b/results/train/hyperbola/problem_1025.png
new file mode 100644
index 0000000000000000000000000000000000000000..9056fffb3f6f42631cf189a6ececef2ee505c51c
--- /dev/null
+++ b/results/train/hyperbola/problem_1025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d13071c29681fc7939596a97e116549e4e6bbf2c0c91e860d0c9489958492b57
+size 272605
diff --git a/results/train/hyperbola/problem_1029.png b/results/train/hyperbola/problem_1029.png
new file mode 100644
index 0000000000000000000000000000000000000000..37d5a873ece6b7ea7097b9a5154f402b0f243a49
--- /dev/null
+++ b/results/train/hyperbola/problem_1029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eee8417415197e63f762ec35c2d3badcf7b7360018855b525e5b0362fb3b31fa
+size 289938
diff --git a/results/train/hyperbola/problem_1036.png b/results/train/hyperbola/problem_1036.png
new file mode 100644
index 0000000000000000000000000000000000000000..22d58792cc4e38f9b82a87fb7b949f8dc98367dd
--- /dev/null
+++ b/results/train/hyperbola/problem_1036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:163386a2572e4eb60692bfb5276495b29828b31ace975d8493739c4bc45478f5
+size 279990
diff --git a/results/train/hyperbola/problem_1038.png b/results/train/hyperbola/problem_1038.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa658e749a15102fed0e431452010cdd2381867f
--- /dev/null
+++ b/results/train/hyperbola/problem_1038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc21f563261d005bafd65e149d7298c477abceef026f5c9c5db2405560fac679
+size 258978
diff --git a/results/train/hyperbola/problem_1039.png b/results/train/hyperbola/problem_1039.png
new file mode 100644
index 0000000000000000000000000000000000000000..b06f95f010abe65e763fc9d40c331b5f9b17d402
--- /dev/null
+++ b/results/train/hyperbola/problem_1039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a33fbcf9148c63773fb4b226933a89a0391c296ae5803dafbcd3376165f6633d
+size 266554
diff --git a/results/train/hyperbola/problem_1040.png b/results/train/hyperbola/problem_1040.png
new file mode 100644
index 0000000000000000000000000000000000000000..89a7681e7c0d5e4fafd01fb7360fd32337324c0b
--- /dev/null
+++ b/results/train/hyperbola/problem_1040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebbbf803cb8c7b21c4f692e6edcd2cb38ab994ac94e9fd4d3507a7b3b202fc17
+size 273980
diff --git a/results/train/hyperbola/problem_1047.png b/results/train/hyperbola/problem_1047.png
new file mode 100644
index 0000000000000000000000000000000000000000..314d10c814745958b751a0b7e29714ee544dd26b
--- /dev/null
+++ b/results/train/hyperbola/problem_1047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:172804ebebdaf355d2a9323984d3caf7624a308060d43d972247fe10de5c8fec
+size 273300
diff --git a/results/train/hyperbola/problem_1051.png b/results/train/hyperbola/problem_1051.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b3a5344954641565e5ca7613d34ec1529cea032
--- /dev/null
+++ b/results/train/hyperbola/problem_1051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d20d67e1f574cbecbb1eb128dc45d645d585f9605a16eccdff01efd6bf8f94f
+size 270211
diff --git a/results/train/hyperbola/problem_1053.png b/results/train/hyperbola/problem_1053.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5edfb5947030409cf634b28b1cfdaadc9052721
--- /dev/null
+++ b/results/train/hyperbola/problem_1053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:795663d1a510b6dbb23b06f481212855e8f9c75308ab482a171498365d2ecd52
+size 232604
diff --git a/results/train/hyperbola/problem_1054.png b/results/train/hyperbola/problem_1054.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf9766b7865aade88ed275c75ae46fed28014eba
--- /dev/null
+++ b/results/train/hyperbola/problem_1054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf0844090cb2a97a2845b5986aa5989e0ee1c5e53349a4b998be2d6e5d0454e7
+size 263039
diff --git a/results/train/hyperbola/problem_1055.png b/results/train/hyperbola/problem_1055.png
new file mode 100644
index 0000000000000000000000000000000000000000..94111815f0e8109794acf9d662d4e80b7799f65b
--- /dev/null
+++ b/results/train/hyperbola/problem_1055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69985ac3a8fdcc79326207cc251086888f9f786f0cbe5cb4977fb39a40ebc672
+size 276452
diff --git a/results/train/hyperbola/problem_1066.png b/results/train/hyperbola/problem_1066.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdaf02982252bcf9673fa8fd05dc9c62f263ebf3
--- /dev/null
+++ b/results/train/hyperbola/problem_1066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:631b947905cb859e995a4b0c829aa81ce7a5de060cb2fb26653d559daab49886
+size 257596
diff --git a/results/train/hyperbola/problem_1075.png b/results/train/hyperbola/problem_1075.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc893bc3852e297a0047b23bf920e74a1be65276
--- /dev/null
+++ b/results/train/hyperbola/problem_1075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9f8ecf2a1fdd109327a596253f9e3cd28a1a5b6541fb783ab6a8b66d96fbeff
+size 249580
diff --git a/results/train/hyperbola/problem_1077.png b/results/train/hyperbola/problem_1077.png
new file mode 100644
index 0000000000000000000000000000000000000000..e234d7086b9a3f89351134d59e5047440da722e0
--- /dev/null
+++ b/results/train/hyperbola/problem_1077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e142f1be2ee57ab9a02ad2def9cbf207d2570372607a2daeadcf38c90e41e516
+size 269647
diff --git a/results/train/hyperbola/problem_1079.png b/results/train/hyperbola/problem_1079.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd063961697d742a242a9383be3db7b0aa356291
--- /dev/null
+++ b/results/train/hyperbola/problem_1079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1d6b29738a3f5d9f877cc838721d024bb535bbabdcb78a983033daf4809e70e
+size 274128
diff --git a/results/train/hyperbola/problem_1081.png b/results/train/hyperbola/problem_1081.png
new file mode 100644
index 0000000000000000000000000000000000000000..a369902e3f7497fd236064a3d60f092a6d0609ab
--- /dev/null
+++ b/results/train/hyperbola/problem_1081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c6d9084ab72751dda210a6f9af53697c2f717e750bf27afdd035b90a96314cf
+size 271337
diff --git a/results/train/hyperbola/problem_1084.png b/results/train/hyperbola/problem_1084.png
new file mode 100644
index 0000000000000000000000000000000000000000..88c169d0a4551e78e23e31e02a3abf8d1eb32dee
--- /dev/null
+++ b/results/train/hyperbola/problem_1084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe46695a11b35cd86207ca138b352c1fd344641216f71d4ae56a4604d3bbf35e
+size 270586
diff --git a/results/train/hyperbola/problem_1085.png b/results/train/hyperbola/problem_1085.png
new file mode 100644
index 0000000000000000000000000000000000000000..27c68bafdea2ca7e4534b0fce6cafb0c9da17ed1
--- /dev/null
+++ b/results/train/hyperbola/problem_1085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47c477b5150dd74ba11aaa8b6eda7308d6ffbcbfbd10c9d710c88a66c7e46841
+size 270323
diff --git a/results/train/hyperbola/problem_1099.png b/results/train/hyperbola/problem_1099.png
new file mode 100644
index 0000000000000000000000000000000000000000..c19ab3c9faef4e434b5a8c25539cb68904db5742
--- /dev/null
+++ b/results/train/hyperbola/problem_1099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:010c305f76d0aa865b0e94620e59ba845ffc625ca4117a61efc96737a9aedf45
+size 275744
diff --git a/results/train/hyperbola/problem_1101.png b/results/train/hyperbola/problem_1101.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e3aab02ec384ab54ee61e8d352cea9ab3b9b0d8
--- /dev/null
+++ b/results/train/hyperbola/problem_1101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28e848bd3c9cf6f15c94c8cfd4a0014a1fb5a0f29c02f7440c6001c8e16b05d7
+size 260268
diff --git a/results/train/hyperbola/problem_1104.png b/results/train/hyperbola/problem_1104.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0a4d40809e61d677b2ecd3bdd96c0e7096e471a
--- /dev/null
+++ b/results/train/hyperbola/problem_1104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1850c5ab3e315905ade649394df60cbb67eb82e583bd4451bb2f833270aaf27
+size 256776
diff --git a/results/train/hyperbola/problem_1105.png b/results/train/hyperbola/problem_1105.png
new file mode 100644
index 0000000000000000000000000000000000000000..53c4b84cf3a02a9c9ae777f0e59e03f9a0d3be02
--- /dev/null
+++ b/results/train/hyperbola/problem_1105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:234302b194e5d337089962373ec605c169718dfce1262bbfee54fb64d7854943
+size 270565
diff --git a/results/train/hyperbola/problem_1110.png b/results/train/hyperbola/problem_1110.png
new file mode 100644
index 0000000000000000000000000000000000000000..cca3c70b46bb497afd8cc449d4d4b962aea2b8db
--- /dev/null
+++ b/results/train/hyperbola/problem_1110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e64e93f6f59e0cea600c32dcc761b511bd35972c972453183762a327f2b42b3
+size 280400
diff --git a/results/train/hyperbola/problem_1112.png b/results/train/hyperbola/problem_1112.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbe87f40362df4a9e943fc27158658f91d9f6abc
--- /dev/null
+++ b/results/train/hyperbola/problem_1112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:100ada24523d7f7caed6b23987264ef530b3898e05410a99cf8ff91682e2fb26
+size 255293
diff --git a/results/train/hyperbola/problem_1114.png b/results/train/hyperbola/problem_1114.png
new file mode 100644
index 0000000000000000000000000000000000000000..702ceb09055bca031d3ae6c38b63fc516d995751
--- /dev/null
+++ b/results/train/hyperbola/problem_1114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:040780809a0f52b445a5344faceef05dc76a69a14d9a313628a29daa2b6db9dc
+size 266517
diff --git a/results/train/hyperbola/problem_1122.png b/results/train/hyperbola/problem_1122.png
new file mode 100644
index 0000000000000000000000000000000000000000..46ab9e53e953e367542dbf406a05ef4f268d00bd
--- /dev/null
+++ b/results/train/hyperbola/problem_1122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:254e8f90f55ac96633c618c877742ed9b26b2b8e45764fd211e138ef5b5e0657
+size 246225
diff --git a/results/train/hyperbola/problem_1124.png b/results/train/hyperbola/problem_1124.png
new file mode 100644
index 0000000000000000000000000000000000000000..c61f193abd1d7f32486c61fbb4e9f744951ae1c3
--- /dev/null
+++ b/results/train/hyperbola/problem_1124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d2d13d7053817c57ee456715bce062f95de5062624fb7f112fe4e6182ff9476
+size 299071
diff --git a/results/train/hyperbola/problem_1127.png b/results/train/hyperbola/problem_1127.png
new file mode 100644
index 0000000000000000000000000000000000000000..72a605b48c0ce8fa6d1a984fefe23576a693bce1
--- /dev/null
+++ b/results/train/hyperbola/problem_1127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99e647abbb0efad9c68a0170cc29ef254ab357a7575761d9418d36fe1f0a5c01
+size 271085
diff --git a/results/train/hyperbola/problem_1134.png b/results/train/hyperbola/problem_1134.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a984da1f06bba342189528ecb3dfd3e0bdc324a
--- /dev/null
+++ b/results/train/hyperbola/problem_1134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b6e55e81e9697aa7f48006591469e0c81ab95783715b365ff83bfd03639f5bf
+size 277053
diff --git a/results/train/hyperbola/problem_1135.png b/results/train/hyperbola/problem_1135.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3e5055d96466243fccc453dbd76522a591b94f0
--- /dev/null
+++ b/results/train/hyperbola/problem_1135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd10182aa590dc9d20da9e5f06e6552bb510fafee0b1689504af785bc6911678
+size 286277
diff --git a/results/train/hyperbola/problem_1137.png b/results/train/hyperbola/problem_1137.png
new file mode 100644
index 0000000000000000000000000000000000000000..70c8db4609db97549a85a0ec0654155c6f46710d
--- /dev/null
+++ b/results/train/hyperbola/problem_1137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8a93341a89852874bbab717c71e814cd2358bbec149253c43be1f433ec573a7
+size 272566
diff --git a/results/train/hyperbola/problem_1139.png b/results/train/hyperbola/problem_1139.png
new file mode 100644
index 0000000000000000000000000000000000000000..823069564db0fa8ecd809c9a2e2a1a6d645c40d3
--- /dev/null
+++ b/results/train/hyperbola/problem_1139.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef95aab5ac1b32b12ba1ae932c0182e0d6c982e67c179cd4d68e8c14941b7485
+size 262723
diff --git a/results/train/hyperbola/problem_1140.png b/results/train/hyperbola/problem_1140.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd9a8280f7e55793108716c25b30ae982b0fd449
--- /dev/null
+++ b/results/train/hyperbola/problem_1140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:597aac77fd66fbb67b66a5f20d5e9eb25ce7aa47fad3b9852133ce685c5e97fb
+size 262576
diff --git a/results/train/hyperbola/problem_1144.png b/results/train/hyperbola/problem_1144.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2268c372cc3b8e16496fa303edf0a28e59d827a
--- /dev/null
+++ b/results/train/hyperbola/problem_1144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43cab8cc93fa271232e585cc6b793c88992159664d8bc816ce641a261a1e6111
+size 296248
diff --git a/results/train/hyperbola/problem_1149.png b/results/train/hyperbola/problem_1149.png
new file mode 100644
index 0000000000000000000000000000000000000000..563b0d3da4041f0a3cf2e7830c59d396076bf007
--- /dev/null
+++ b/results/train/hyperbola/problem_1149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:599de6875479ef7e553fa87997b322d610478e3109fcc4c6aac85f8151510846
+size 259946
diff --git a/results/train/hyperbola/problem_1152.png b/results/train/hyperbola/problem_1152.png
new file mode 100644
index 0000000000000000000000000000000000000000..538ffa88fa6f9f59e926db5e8068d966c9158aea
--- /dev/null
+++ b/results/train/hyperbola/problem_1152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb468f587222cef55681d6ca4505ac88b0d593d33e6e1b1af68502b7ed760c97
+size 265142
diff --git a/results/train/hyperbola/problem_1153.png b/results/train/hyperbola/problem_1153.png
new file mode 100644
index 0000000000000000000000000000000000000000..81e97b279df1a80abca2efbed12b5564099a24f4
--- /dev/null
+++ b/results/train/hyperbola/problem_1153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1327fe82f45d1ee3591e0a1c5dcb9048efc8f019027f2fd30df1edef9f527687
+size 267632
diff --git a/results/train/hyperbola/problem_1154.png b/results/train/hyperbola/problem_1154.png
new file mode 100644
index 0000000000000000000000000000000000000000..c903edba51ac724180da7fbfab09e546acf769b4
--- /dev/null
+++ b/results/train/hyperbola/problem_1154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:258675cf3c910be0d00a1637440aeb3f6775df99d71236c6723956167737b559
+size 261861
diff --git a/results/train/hyperbola/problem_1165.png b/results/train/hyperbola/problem_1165.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bf885ea6249c0b4bb61ab66dd0a0515313cf1ae
--- /dev/null
+++ b/results/train/hyperbola/problem_1165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf60282ac0ebb5b1d467cd9f7f9cf9c5672c1eff09da30883bd5950664094fa8
+size 255719
diff --git a/results/train/hyperbola/problem_1176.png b/results/train/hyperbola/problem_1176.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f1be2dcd297ffa1b759257fab971ca8aee2f2b6
--- /dev/null
+++ b/results/train/hyperbola/problem_1176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad58e63229c8363614709b917dca4ef9e435baa243244faf2bc06e60406a8f29
+size 276780
diff --git a/results/train/hyperbola/problem_1180.png b/results/train/hyperbola/problem_1180.png
new file mode 100644
index 0000000000000000000000000000000000000000..45cf57717a84894c5120f65898273ff61c5945a1
--- /dev/null
+++ b/results/train/hyperbola/problem_1180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11e2ef6545508c62ab51b667544d3636b869f75df77d744bf5a5aeeb20e25ff5
+size 271491
diff --git a/results/train/hyperbola/problem_1186.png b/results/train/hyperbola/problem_1186.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dc2df8a6a0bcb456e42e60803d71640cec1a2dc
--- /dev/null
+++ b/results/train/hyperbola/problem_1186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5be5f1b0fdaab975e1d865ba4bc9b3387203815d8e21c3b4cfd23f1e76c3a0c9
+size 259376
diff --git a/results/train/hyperbola/problem_1192.png b/results/train/hyperbola/problem_1192.png
new file mode 100644
index 0000000000000000000000000000000000000000..467a560508e1f5506abe826c58849ff626bf7c4c
--- /dev/null
+++ b/results/train/hyperbola/problem_1192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:371cd50827b256e5dad95e3cef2395e6f05ae2b98949f7dee7cb8ed8bd03cdbf
+size 253630
diff --git a/results/train/hyperbola/problem_1193.png b/results/train/hyperbola/problem_1193.png
new file mode 100644
index 0000000000000000000000000000000000000000..d138027d7d38c92dbeb5866be4b286f2fe39338c
--- /dev/null
+++ b/results/train/hyperbola/problem_1193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a72c78780a0c6cdb41b502b83f860d8d6d92abd4129da31b6fc23100a810ca0
+size 261171
diff --git a/results/train/hyperbola/problem_1194.png b/results/train/hyperbola/problem_1194.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcc7ec58360dc30baf5921be3d78df5e959597c2
--- /dev/null
+++ b/results/train/hyperbola/problem_1194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23288c908bfeeb8d4e8047184b66c7b9e2dd5d72405acbfa7628de78134e7768
+size 274429
diff --git a/results/train/hyperbola/problem_1197.png b/results/train/hyperbola/problem_1197.png
new file mode 100644
index 0000000000000000000000000000000000000000..997e2cab9ea412cce8974968719c4b222f189d1f
--- /dev/null
+++ b/results/train/hyperbola/problem_1197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36b773efb79d764a65119855708d844e52866941760367347d0bcd4644993a1b
+size 225233
diff --git a/results/train/hyperbola/problem_1199.png b/results/train/hyperbola/problem_1199.png
new file mode 100644
index 0000000000000000000000000000000000000000..890e05173a689a2005700dedab613a577ac3135e
--- /dev/null
+++ b/results/train/hyperbola/problem_1199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:747ae3436fd872cb18186f0b0f4f73114d26b18d23b9dda74aa3b9c1f6e180cd
+size 271026
diff --git a/results/train/hyperbola/problem_1203.png b/results/train/hyperbola/problem_1203.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce66c4e9cf6dd882877bb7d43347617c03f02a23
--- /dev/null
+++ b/results/train/hyperbola/problem_1203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e5c61d8beb03d6f92630bbc8fe56a3f73d378f56c204f353dbaceaee4580ff3
+size 252011
diff --git a/results/train/hyperbola/problem_1204.png b/results/train/hyperbola/problem_1204.png
new file mode 100644
index 0000000000000000000000000000000000000000..97e9db69b4104d2aabf5d0cb612f12c81e906597
--- /dev/null
+++ b/results/train/hyperbola/problem_1204.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9baccab48c9b36a55463e359da05a89f8c1a1f5ee9c70c276fcff8190630d7f
+size 255166
diff --git a/results/train/hyperbola/problem_1214.png b/results/train/hyperbola/problem_1214.png
new file mode 100644
index 0000000000000000000000000000000000000000..d64b402d03ed1096b1b4ec5d4343076726a5b991
--- /dev/null
+++ b/results/train/hyperbola/problem_1214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f811a479975437996d1db6d3f2a2c219deabeeec36cfce3f5f0b69a05ee52ba
+size 257841
diff --git a/results/train/hyperbola/problem_1217.png b/results/train/hyperbola/problem_1217.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4fadb5fcc16aafe61dc769f6d755afb4ff81f14
--- /dev/null
+++ b/results/train/hyperbola/problem_1217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5e8bca899a6181ed21e2b7151556daeb31aceba658e65bd919ab5ac3fecff16
+size 274449
diff --git a/results/train/hyperbola/problem_1226.png b/results/train/hyperbola/problem_1226.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdb76c97803e91798c0d018f43bd330bda95f4c0
--- /dev/null
+++ b/results/train/hyperbola/problem_1226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74a6243828252b4eb1594b475ab8ccdfa95978d6e825c482765920658a10de5f
+size 272544
diff --git a/results/train/hyperbola/problem_1227.png b/results/train/hyperbola/problem_1227.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d9bbc4286d6d14fa0081a17a4aabdf029914291
--- /dev/null
+++ b/results/train/hyperbola/problem_1227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:befbe54be5669e47eeb2f6fbb158ab4579c4ff23f513a41500d534629a5463f3
+size 213433
diff --git a/results/train/hyperbola/problem_1229.png b/results/train/hyperbola/problem_1229.png
new file mode 100644
index 0000000000000000000000000000000000000000..592123f1f3250136549d1d73433139e522957b48
--- /dev/null
+++ b/results/train/hyperbola/problem_1229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4ba8bf359518f4795ed46ad3420966296b1b96ac03af009bfec42d0eb09a342
+size 259895
diff --git a/results/train/hyperbola/problem_1231.png b/results/train/hyperbola/problem_1231.png
new file mode 100644
index 0000000000000000000000000000000000000000..80876423140e9bdef5c57da58141c0d7c06f185a
--- /dev/null
+++ b/results/train/hyperbola/problem_1231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbf61cf498a5acecf0bf60aa12d64a6e108e720468af594051aa6607b0cb16e4
+size 267814
diff --git a/results/train/hyperbola/problem_1235.png b/results/train/hyperbola/problem_1235.png
new file mode 100644
index 0000000000000000000000000000000000000000..987958f311a8a11515460c3c24a7c9581e688bec
--- /dev/null
+++ b/results/train/hyperbola/problem_1235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afef44fe59898b5eea01b7723c2119c91583aee904a8a8f60916a97516069a59
+size 224463
diff --git a/results/train/hyperbola/problem_1238.png b/results/train/hyperbola/problem_1238.png
new file mode 100644
index 0000000000000000000000000000000000000000..62967be9a652f56d574d00768052776a5d44b59f
--- /dev/null
+++ b/results/train/hyperbola/problem_1238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d40cf98e68493d0e7f2e2e7f64854b8e552f1e07ad70a5371e42c1f1ad9b073
+size 236542
diff --git a/results/train/hyperbola/problem_1242.png b/results/train/hyperbola/problem_1242.png
new file mode 100644
index 0000000000000000000000000000000000000000..e51a17579d535f0073a9561485a77600239000b3
--- /dev/null
+++ b/results/train/hyperbola/problem_1242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd10a130f3f08c1db90f55711058d40fc4bf4327f50ff873ba27135f887d5530
+size 258325
diff --git a/results/train/hyperbola/problem_1248.png b/results/train/hyperbola/problem_1248.png
new file mode 100644
index 0000000000000000000000000000000000000000..2583f56a49e0bdc564c6065fc9a031d0d0453075
--- /dev/null
+++ b/results/train/hyperbola/problem_1248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec86dfcc1a00477f3f7befe923489328f697587b3e10b6a8312342b8528c6d6d
+size 245384
diff --git a/results/train/hyperbola/problem_1255.png b/results/train/hyperbola/problem_1255.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c585c52bb7b811427d835661085752ebd6b9290
--- /dev/null
+++ b/results/train/hyperbola/problem_1255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5e831678d5b011947823feb226270309273ee7370867a063209eed52c4b03af
+size 289475
diff --git a/results/train/hyperbola/problem_1256.png b/results/train/hyperbola/problem_1256.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8a965f8a4f9124db485ac4d5524f9f527b6eeea
--- /dev/null
+++ b/results/train/hyperbola/problem_1256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da931f97ecd59ab422c9523b84de8e50e53b815181be74afb780497f8c4eae83
+size 253875
diff --git a/results/train/hyperbola/problem_1257.png b/results/train/hyperbola/problem_1257.png
new file mode 100644
index 0000000000000000000000000000000000000000..37fc9791b5b112f7fe12fc2aba25811f009bb6d9
--- /dev/null
+++ b/results/train/hyperbola/problem_1257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b5ce97da9a9b62a9357c8ffa07edcd970321b8ba0d3a99be23d7781d0f77a60
+size 294625
diff --git a/results/train/hyperbola/problem_1259.png b/results/train/hyperbola/problem_1259.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ee572299b53c19649e6e55ae3d480c2d05baec6
--- /dev/null
+++ b/results/train/hyperbola/problem_1259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5467f067b6c9311e2f59560a660ab82dc787356ea48b8d4b08c8dd64dc2cf06c
+size 272393
diff --git a/results/train/hyperbola/problem_1260.png b/results/train/hyperbola/problem_1260.png
new file mode 100644
index 0000000000000000000000000000000000000000..d95a66c9f1ebd2efd1d2bc245e67fc211625350a
--- /dev/null
+++ b/results/train/hyperbola/problem_1260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:734e94f1f2513e92640e62e24cea3258cb2aad58a37e890989cd767d58e6e30d
+size 274216
diff --git a/results/train/hyperbola/problem_1272.png b/results/train/hyperbola/problem_1272.png
new file mode 100644
index 0000000000000000000000000000000000000000..2357d93f5e389be6bf264a4d9796dc4d5553869c
--- /dev/null
+++ b/results/train/hyperbola/problem_1272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd30de42e66ffc95dcc223152f9f12ed264607702b4f942659d415e7c880e65d
+size 268722
diff --git a/results/train/hyperbola/problem_1277.png b/results/train/hyperbola/problem_1277.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f75194d4aa6cc0268274e90194942ede7f948f2
--- /dev/null
+++ b/results/train/hyperbola/problem_1277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27432b1ddd30a5562b7e7f0dee73f0d6d1b953eed9472a9777e104ab4c0a70a5
+size 274183
diff --git a/results/train/hyperbola/problem_1279.png b/results/train/hyperbola/problem_1279.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ef2d788a65b19f70272803d1fc280187e701afb
--- /dev/null
+++ b/results/train/hyperbola/problem_1279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fad2532c963ac12fda3374f2cdef34fe3879526ba798274fc19b10949c5b440a
+size 262955
diff --git a/results/train/hyperbola/problem_1280.png b/results/train/hyperbola/problem_1280.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d8776c00325fe26b5ea47a26f379585fa6a7ff6
--- /dev/null
+++ b/results/train/hyperbola/problem_1280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8fe36e68d408a84d13760697406cdb0c8fc6c5bac9e1465f4f3459185567903
+size 268928
diff --git a/results/train/hyperbola/problem_1281.png b/results/train/hyperbola/problem_1281.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b79a699cb7edf0003d20f10d6094111f9f82d16
--- /dev/null
+++ b/results/train/hyperbola/problem_1281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:656844c9bc125d8c68ca74a4bcfa8d1314b3798798b5156d63bb9cb4e0294e37
+size 264357
diff --git a/results/train/hyperbola/problem_1282.png b/results/train/hyperbola/problem_1282.png
new file mode 100644
index 0000000000000000000000000000000000000000..9feca73f0fbcfce0560632723f61c070da7b308f
--- /dev/null
+++ b/results/train/hyperbola/problem_1282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bae5b1b12d036399af650bd2ccb3f96e9870832d4e9348c20fce50a26a8f0c6e
+size 238922
diff --git a/results/train/hyperbola/problem_1292.png b/results/train/hyperbola/problem_1292.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a1a3174ee723826c8813cc74bc0c1b157661f47
--- /dev/null
+++ b/results/train/hyperbola/problem_1292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d1d4f7b46d3af968fa01898c38dfb05730599868ba89d90923494aaceeb4faa
+size 270390
diff --git a/results/train/hyperbola/problem_1303.png b/results/train/hyperbola/problem_1303.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ed44c9c3e69aa870bffaeb4fda0c61798eee6c4
--- /dev/null
+++ b/results/train/hyperbola/problem_1303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff3b050a3f2e2f9d11b7ec4055f6cad2b9190506d9851da6b6684fb11e54c383
+size 263437
diff --git a/results/train/hyperbola/problem_1306.png b/results/train/hyperbola/problem_1306.png
new file mode 100644
index 0000000000000000000000000000000000000000..616553dede6afe195c3b7c85405832d615abbf7c
--- /dev/null
+++ b/results/train/hyperbola/problem_1306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1549857334c2b5fa6529c180bce04a691c3ddaf60af36066ae3e419ee600e8f2
+size 264533
diff --git a/results/train/hyperbola/problem_1313.png b/results/train/hyperbola/problem_1313.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d9a3581a650e4d2dab948628c7849b0d4d4caeb
--- /dev/null
+++ b/results/train/hyperbola/problem_1313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d544df936b4f9995fdcb167cfb12df3ffa12e44a6361dcb1c137087334d8cf2
+size 284832
diff --git a/results/train/hyperbola/problem_1315.png b/results/train/hyperbola/problem_1315.png
new file mode 100644
index 0000000000000000000000000000000000000000..235537c248e4de8ff77528ad535a9e164e9294f4
--- /dev/null
+++ b/results/train/hyperbola/problem_1315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d11ae811c56977774344155da67d547693c086eac58475c70fdef9c8c3b33f49
+size 262775
diff --git a/results/train/hyperbola/problem_1320.png b/results/train/hyperbola/problem_1320.png
new file mode 100644
index 0000000000000000000000000000000000000000..2baffc07b9f8dbf4d68338587768d3ba5dd78a1e
--- /dev/null
+++ b/results/train/hyperbola/problem_1320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e645795f5faf44b41e1a9688546810e091ec740cb6c33d194f70e52e3d81ddaf
+size 221231
diff --git a/results/train/hyperbola/problem_1324.png b/results/train/hyperbola/problem_1324.png
new file mode 100644
index 0000000000000000000000000000000000000000..87b6fab85936277284a9435018b89e8ace68a13b
--- /dev/null
+++ b/results/train/hyperbola/problem_1324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:516567acee7c1760b90313f597ff0f5c67f4940e81c0daf4d941a712bd84d0bc
+size 259002
diff --git a/results/train/hyperbola/problem_1328.png b/results/train/hyperbola/problem_1328.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ecb31b8d9e9753d40921dbc4c1b22eb3e99439d
--- /dev/null
+++ b/results/train/hyperbola/problem_1328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3c90ecfd88967585e9b10316caebf322dcb2b090c02d65e5624207036e91758
+size 261772
diff --git a/results/train/hyperbola/problem_1330.png b/results/train/hyperbola/problem_1330.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef05218b2040830a1d8efb405f4aab0894ecc0da
--- /dev/null
+++ b/results/train/hyperbola/problem_1330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dce56806afa5dc7b421b31db32ddb84470299ade180aed377a44a47883a242b6
+size 277920
diff --git a/results/train/hyperbola/problem_1332.png b/results/train/hyperbola/problem_1332.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fa9cfa4f6c448c011c731327e6472c32701b209
--- /dev/null
+++ b/results/train/hyperbola/problem_1332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02dbf1901bd4470f4291dca7c74b719b9223f5ffc9a0b62a53506b146c428866
+size 279325
diff --git a/results/train/hyperbola/problem_1334.png b/results/train/hyperbola/problem_1334.png
new file mode 100644
index 0000000000000000000000000000000000000000..c49419d4ae5dacd449521bca50420051a0170d6e
--- /dev/null
+++ b/results/train/hyperbola/problem_1334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:854869148c3934d5c3633fb61f844816baefb05c345743ce21ceb8d0da37c5e4
+size 214059
diff --git a/results/train/hyperbola/problem_1338.png b/results/train/hyperbola/problem_1338.png
new file mode 100644
index 0000000000000000000000000000000000000000..c085f320c2db0063cc78bded11913948a67ad598
--- /dev/null
+++ b/results/train/hyperbola/problem_1338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8bf195635912c954e7929792241fd431407ee4120fc9bb5cfbebcdc8350a5d2
+size 265075
diff --git a/results/train/hyperbola/problem_1339.png b/results/train/hyperbola/problem_1339.png
new file mode 100644
index 0000000000000000000000000000000000000000..98ef552d47be07ea319a56a86bdd75d6b5766a84
--- /dev/null
+++ b/results/train/hyperbola/problem_1339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:051bc41f5c716cafe0bd242c0c152134ce5c41990851448c3c6a6ff2e2e393b3
+size 263039
diff --git a/results/train/hyperbola/problem_1342.png b/results/train/hyperbola/problem_1342.png
new file mode 100644
index 0000000000000000000000000000000000000000..08404dee73bae317344879cbd9125660da7c009c
--- /dev/null
+++ b/results/train/hyperbola/problem_1342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:894a5246a73fa23cbc86effcd6163640651c5331c98110a502045200a28c1daa
+size 267797
diff --git a/results/train/hyperbola/problem_1343.png b/results/train/hyperbola/problem_1343.png
new file mode 100644
index 0000000000000000000000000000000000000000..a65cbc4d3bd60dbd525489308bec5ad3455c4ca5
--- /dev/null
+++ b/results/train/hyperbola/problem_1343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b36ce7f1f83b096e252aae596f4053023855991b5dd7b7e78c3f9ab1272f4e0b
+size 272908
diff --git a/results/train/hyperbola/problem_1344.png b/results/train/hyperbola/problem_1344.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc2939e5e39987756562e6e2c24c3c678b4f31bb
--- /dev/null
+++ b/results/train/hyperbola/problem_1344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27341fced81a32056ab17094ba20e09a00923fda428fa253f86573eeac6e0210
+size 273584
diff --git a/results/train/hyperbola/problem_1346.png b/results/train/hyperbola/problem_1346.png
new file mode 100644
index 0000000000000000000000000000000000000000..4899479f9cb8b6cd6df9355714f59e151b04068a
--- /dev/null
+++ b/results/train/hyperbola/problem_1346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e706d3d8e5ea85cd36315cbb88210329d1467182588c7237099aa2e61cc0315
+size 328503
diff --git a/results/train/hyperbola/problem_1349.png b/results/train/hyperbola/problem_1349.png
new file mode 100644
index 0000000000000000000000000000000000000000..07a164ff80b81e76ff574e53bca977c075f427f3
--- /dev/null
+++ b/results/train/hyperbola/problem_1349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01fabefc771804080754fbb9f854ab712b54d5f475758f7ad0cebc3983915d60
+size 246416
diff --git a/results/train/hyperbola/problem_1350.png b/results/train/hyperbola/problem_1350.png
new file mode 100644
index 0000000000000000000000000000000000000000..435d871f470f78c4cbfd456ceee87edf11374315
--- /dev/null
+++ b/results/train/hyperbola/problem_1350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:912b3d39e5edb5f10c9178544d7d642fc098dcf9d1633d5f034b49f872fe29dc
+size 254678
diff --git a/results/train/hyperbola/problem_1352.png b/results/train/hyperbola/problem_1352.png
new file mode 100644
index 0000000000000000000000000000000000000000..fea7fe9e17f6c8b7a968aae25692385262cc2562
--- /dev/null
+++ b/results/train/hyperbola/problem_1352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04c23bdb0dd52fdc71d6762a0fcc4e11767d3e8469e3258f43e106bcdd343211
+size 254795
diff --git a/results/train/hyperbola/problem_1354.png b/results/train/hyperbola/problem_1354.png
new file mode 100644
index 0000000000000000000000000000000000000000..97c010aa7be3583c90eb3e4160689a77420b0b32
--- /dev/null
+++ b/results/train/hyperbola/problem_1354.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf4ef70eb085966396286c232fbf434638b98ad8caeeadb62b4981a8dcbfd59a
+size 271104
diff --git a/results/train/hyperbola/problem_1357.png b/results/train/hyperbola/problem_1357.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b8cd9347a02bb3082b6d64c548f4961a42319a6
--- /dev/null
+++ b/results/train/hyperbola/problem_1357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e47563a89d45a274fe9b948bcf635ed4d36e70a46ce7ad3c1e9e652d1b457cc
+size 267853
diff --git a/results/train/hyperbola/problem_1358.png b/results/train/hyperbola/problem_1358.png
new file mode 100644
index 0000000000000000000000000000000000000000..c42c2495f6671672f04ed70e233f15d94c9306a2
--- /dev/null
+++ b/results/train/hyperbola/problem_1358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d29fe42bce1aab81e01877457f018bce0604d70c64f2a4a826197f259ba77303
+size 262437
diff --git a/results/train/hyperbola/problem_1359.png b/results/train/hyperbola/problem_1359.png
new file mode 100644
index 0000000000000000000000000000000000000000..32caadc2f139ca6ef8935a004487481115020038
--- /dev/null
+++ b/results/train/hyperbola/problem_1359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ba77bb7423bfac16cc30c6bbb5b9ca78cb62b325c41b2ae171b9100649e67fc
+size 253255
diff --git a/results/train/hyperbola/problem_1363.png b/results/train/hyperbola/problem_1363.png
new file mode 100644
index 0000000000000000000000000000000000000000..9717c6708d81b1574037c4ab3397f71ec1bb2234
--- /dev/null
+++ b/results/train/hyperbola/problem_1363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6de114f03395122764e5598a9213fbd812848d15d948125c3dfa7e9aa5af8321
+size 264782
diff --git a/results/train/hyperbola/problem_1364.png b/results/train/hyperbola/problem_1364.png
new file mode 100644
index 0000000000000000000000000000000000000000..30c4cf0d20964b08bfe65862431f0c2d62c608e1
--- /dev/null
+++ b/results/train/hyperbola/problem_1364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bbe9471fde70de56e26e4a5898f8caab4f924cbfac2f275b777ec289b890c3f
+size 258262
diff --git a/results/train/hyperbola/problem_1369.png b/results/train/hyperbola/problem_1369.png
new file mode 100644
index 0000000000000000000000000000000000000000..e862c8b4b1b0e0d470f24a6b2745159db1364616
--- /dev/null
+++ b/results/train/hyperbola/problem_1369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba3bf765bad28cdf8bb3399801c05655c444fbd499a18a98cc72bf07cada2d9e
+size 233835
diff --git a/results/train/hyperbola/problem_1378.png b/results/train/hyperbola/problem_1378.png
new file mode 100644
index 0000000000000000000000000000000000000000..8afb2efaa505ee0fdd51f6202d1e9e72295da8e5
--- /dev/null
+++ b/results/train/hyperbola/problem_1378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc336e6542350afddb3ccf78f617930d6f241a85a005ecb90fe5e6cab5e407ba
+size 257799
diff --git a/results/train/hyperbola/problem_1380.png b/results/train/hyperbola/problem_1380.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae208d8bebe1d0bcd5fd7c0e7e20d6eb05a06a58
--- /dev/null
+++ b/results/train/hyperbola/problem_1380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b468a182e79838cd497f12625e8e9c0610747d872b961726253bc207682a8575
+size 234487
diff --git a/results/train/hyperbola/problem_1385.png b/results/train/hyperbola/problem_1385.png
new file mode 100644
index 0000000000000000000000000000000000000000..e737debe8f467eb1c89586951f62cc6aeb460d07
--- /dev/null
+++ b/results/train/hyperbola/problem_1385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ca8fd245477a58947ac61281f8b1a636412e9c9dfa9803bccd48b2910d57267
+size 247720
diff --git a/results/train/hyperbola/problem_1386.png b/results/train/hyperbola/problem_1386.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ea48505287f6af0cf9748f0e0f1df140836e469
--- /dev/null
+++ b/results/train/hyperbola/problem_1386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:296b9f12df0fc9328a2188495fa7a745495dc21a0e5f98f55321a9ea7168d4dd
+size 273591
diff --git a/results/train/hyperbola/problem_1388.png b/results/train/hyperbola/problem_1388.png
new file mode 100644
index 0000000000000000000000000000000000000000..9512c628f782d6d0fc1bcdf7841adb7a359bd264
--- /dev/null
+++ b/results/train/hyperbola/problem_1388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdd086ecc3595f0d53dd462dbf0850921fc8ff9883ec40ec317f67116bf6e617
+size 263225
diff --git a/results/train/hyperbola/problem_1399.png b/results/train/hyperbola/problem_1399.png
new file mode 100644
index 0000000000000000000000000000000000000000..6204470afaeba6f23ffcabb2997c19b7cf380d02
--- /dev/null
+++ b/results/train/hyperbola/problem_1399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecf8526d8c7a53be0828e8c06d369b019decb06428e1671f964227a432376c5f
+size 271103
diff --git a/results/train/hyperbola/problem_1408.png b/results/train/hyperbola/problem_1408.png
new file mode 100644
index 0000000000000000000000000000000000000000..7583d55a9ead2723472daa8e9ad1d0aa30495e51
--- /dev/null
+++ b/results/train/hyperbola/problem_1408.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f8b4b972685d3a7fa9c5700c5afba45fa15c2d699b96462e9046cfa5f023330
+size 262675
diff --git a/results/train/hyperbola/problem_1411.png b/results/train/hyperbola/problem_1411.png
new file mode 100644
index 0000000000000000000000000000000000000000..caefb4f1eb0aa18324074621b1d44e76c4d92b0d
--- /dev/null
+++ b/results/train/hyperbola/problem_1411.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bfda029a1aecfa103984d19c991cc44c6106aa5a5aeeb68e9aa5471ed61d876
+size 222400
diff --git a/results/train/hyperbola/problem_1415.png b/results/train/hyperbola/problem_1415.png
new file mode 100644
index 0000000000000000000000000000000000000000..2aa165f4e4cf93fd3311c13b4d936b8ac0d91692
--- /dev/null
+++ b/results/train/hyperbola/problem_1415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e151a1cf84533b131ae20d31f382d3f67c0264b467d5092ce0dbec05b86e388
+size 265485
diff --git a/results/train/hyperbola/problem_1419.png b/results/train/hyperbola/problem_1419.png
new file mode 100644
index 0000000000000000000000000000000000000000..141eb887633c7c3f1a3f53a5fe17f785959656de
--- /dev/null
+++ b/results/train/hyperbola/problem_1419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3a24d1fd07d3bad225ce3e274f936545d757bb0c583f2f183aad52825c0588e
+size 271201
diff --git a/results/train/hyperbola/problem_1422.png b/results/train/hyperbola/problem_1422.png
new file mode 100644
index 0000000000000000000000000000000000000000..be58be925e5fdcb51f250eb44cb357d101b47956
--- /dev/null
+++ b/results/train/hyperbola/problem_1422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4631ba125d9dbf126e783d1457f60faf3a6512b0feb87bc18d0f23ec17893378
+size 259647
diff --git a/results/train/hyperbola/problem_1427.png b/results/train/hyperbola/problem_1427.png
new file mode 100644
index 0000000000000000000000000000000000000000..48f38d90219143cc1c06483e4db7ed75908ab674
--- /dev/null
+++ b/results/train/hyperbola/problem_1427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:229abf5c6263813b99edd6d802346caa667257c818844146a5dc983e5765f92f
+size 254420
diff --git a/results/train/hyperbola/problem_1428.png b/results/train/hyperbola/problem_1428.png
new file mode 100644
index 0000000000000000000000000000000000000000..191a2a9c629e6581708bac4c7b3798d1aea144c7
--- /dev/null
+++ b/results/train/hyperbola/problem_1428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1ee2d05d5f2779ea87931c54fd4a03c6d799ae4857414ce5c62ad9d4499d560
+size 251373
diff --git a/results/train/hyperbola/problem_1429.png b/results/train/hyperbola/problem_1429.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c3ad7161d27f05f47c78481dbe204e16476900b
--- /dev/null
+++ b/results/train/hyperbola/problem_1429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5887ebce7071580a53427d753c674092042aba7bd5e7505390e93d185ab237aa
+size 254372
diff --git a/results/train/hyperbola/problem_1434.png b/results/train/hyperbola/problem_1434.png
new file mode 100644
index 0000000000000000000000000000000000000000..54a5ef9a0a1d6e3bfce3cdbbd2b6737ec0a7690d
--- /dev/null
+++ b/results/train/hyperbola/problem_1434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8b93de16e058d2a674a6516424c25e6706744ade6353854b4de73d925b9f41b
+size 269352
diff --git a/results/train/hyperbola/problem_1437.png b/results/train/hyperbola/problem_1437.png
new file mode 100644
index 0000000000000000000000000000000000000000..844e481e626d1bbf63c63f235b246ef3cbc396a7
--- /dev/null
+++ b/results/train/hyperbola/problem_1437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34debf08ac6620561a1bb16cd4de3659e576793a4b84284e7b29f80b44a6db7f
+size 269006
diff --git a/results/train/hyperbola/problem_1438.png b/results/train/hyperbola/problem_1438.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f0e4ad9364b9c2398a5239d4b849947fdb9130a
--- /dev/null
+++ b/results/train/hyperbola/problem_1438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6c6e7912286cbdf7ed8696a60ee9f09a0b5d48fc8bbd1268d6d666b9f89d92a
+size 236190
diff --git a/results/train/hyperbola/problem_1439.png b/results/train/hyperbola/problem_1439.png
new file mode 100644
index 0000000000000000000000000000000000000000..339f00ba52bbe8107d0f4d6b0bacbd8ca7e8ee31
--- /dev/null
+++ b/results/train/hyperbola/problem_1439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46d7e1774ef59acca3200b8dc0b3fcd828659fe476b42c0048d5d10e7d9ce743
+size 257990
diff --git a/results/train/hyperbola/problem_1443.png b/results/train/hyperbola/problem_1443.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fe4ce7e95a2a52b8e9d2299549fdf97497ee1d1
--- /dev/null
+++ b/results/train/hyperbola/problem_1443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:771bef0ab35e37792a5ba06c018d0dae010b4cc3f18d102efe8f1301676c0456
+size 245288
diff --git a/results/train/hyperbola/problem_1450.png b/results/train/hyperbola/problem_1450.png
new file mode 100644
index 0000000000000000000000000000000000000000..891e46ae1fc053e12b93b23519bee1c3a059679c
--- /dev/null
+++ b/results/train/hyperbola/problem_1450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3278d5c52925a8b974baf24da6cc8698d35337fa1505d672d7c06e10c7b9db31
+size 261933
diff --git a/results/train/hyperbola/problem_1455.png b/results/train/hyperbola/problem_1455.png
new file mode 100644
index 0000000000000000000000000000000000000000..8be9ae2f5c563e96db82f4077a4a14e47c387be8
--- /dev/null
+++ b/results/train/hyperbola/problem_1455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5620a4e510c6c734ffeb70e9ff477ad3d18bd15c6310adb04a939280e290737
+size 271617
diff --git a/results/train/hyperbola/problem_1456.png b/results/train/hyperbola/problem_1456.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1e8ab7c6f04495c59708f98a4fdea06db49ab2b
--- /dev/null
+++ b/results/train/hyperbola/problem_1456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f0523811e7205aa9682a850d02f288dd10d761686de9bcad40e05ba27fc478
+size 290368
diff --git a/results/train/hyperbola/problem_1459.png b/results/train/hyperbola/problem_1459.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e3fafea121405ce5c0b051cb6364d7ac50b59eb
--- /dev/null
+++ b/results/train/hyperbola/problem_1459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:993bbe97b8d0500c7120a8db597fa10642e617b3433cfc7d567532d7804aaa21
+size 268193
diff --git a/results/train/hyperbola/problem_1460.png b/results/train/hyperbola/problem_1460.png
new file mode 100644
index 0000000000000000000000000000000000000000..1efbf1f5d9c8de7a5116682701d8e97132f4f1d2
--- /dev/null
+++ b/results/train/hyperbola/problem_1460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c285efa357fb54a0dc9f792ffe968c9f0ba359a8a11971cd4dbe35b3b2066dd
+size 267066
diff --git a/results/train/hyperbola/problem_1465.png b/results/train/hyperbola/problem_1465.png
new file mode 100644
index 0000000000000000000000000000000000000000..92a9af20a35ddc44f8fefa1455f9e5908e237207
--- /dev/null
+++ b/results/train/hyperbola/problem_1465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfc3db7171f3dc4b596f4a1f5e3ef9269ad6bf383d8cd33c9e909f55714237bc
+size 266272
diff --git a/results/train/hyperbola/problem_1466.png b/results/train/hyperbola/problem_1466.png
new file mode 100644
index 0000000000000000000000000000000000000000..55ed7bb884b4256b053ffbe1b4f3162d2296f07f
--- /dev/null
+++ b/results/train/hyperbola/problem_1466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3852d8e14bf5869e33e744f03ea3ef2226b19dc7f12f1bff6bf8ce9c0e2eb262
+size 254054
diff --git a/results/train/hyperbola/problem_1469.png b/results/train/hyperbola/problem_1469.png
new file mode 100644
index 0000000000000000000000000000000000000000..af48863f59505cd2177b7e87cd3e9bce9279ea22
--- /dev/null
+++ b/results/train/hyperbola/problem_1469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98eab24b73a206b2f17a5536b1328141f77e3cf0fc16d817cce4ce4b82efd091
+size 284211
diff --git a/results/train/hyperbola/problem_1473.png b/results/train/hyperbola/problem_1473.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb19da505c5bc108e65ff30982d3087361237ce2
--- /dev/null
+++ b/results/train/hyperbola/problem_1473.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2804d679453f51d9daf38686e064d6285ef833247ce8f912643401e5453fb607
+size 277705
diff --git a/results/train/hyperbola/problem_1478.png b/results/train/hyperbola/problem_1478.png
new file mode 100644
index 0000000000000000000000000000000000000000..b27b46144d161eb0a3581cbd336fc0b51012285a
--- /dev/null
+++ b/results/train/hyperbola/problem_1478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa6d50c6ab1b9ebe49682f751a162b674417e1208f000385bd34db919aa4ec1d
+size 266755
diff --git a/results/train/hyperbola/problem_1480.png b/results/train/hyperbola/problem_1480.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad3f9fa78f80c9e63bcbc46d1fefe559ad7da40d
--- /dev/null
+++ b/results/train/hyperbola/problem_1480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:879be6010c344276e9e505dddf45b373872562d08e9c737a6423a113a1de3e5e
+size 263431
diff --git a/results/train/hyperbola/problem_1482.png b/results/train/hyperbola/problem_1482.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b3f32b3f154890dee76b6406342fa371f745f8e
--- /dev/null
+++ b/results/train/hyperbola/problem_1482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ec05068366311fd628f6b7cf0cd4af61106887059a849ee89565b0d88ea000e
+size 261403
diff --git a/results/train/hyperbola/problem_1483.png b/results/train/hyperbola/problem_1483.png
new file mode 100644
index 0000000000000000000000000000000000000000..38ab6b40f032829cc5546e31ca78b82f1201d37b
--- /dev/null
+++ b/results/train/hyperbola/problem_1483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d99bf56be9f8a33a58313604a31e88ee3d676645ae81f6b86889b5ce6987876
+size 277859
diff --git a/results/train/hyperbola/problem_1492.png b/results/train/hyperbola/problem_1492.png
new file mode 100644
index 0000000000000000000000000000000000000000..637743f2d61a4a31489c3fd6e8bfaa067999275f
--- /dev/null
+++ b/results/train/hyperbola/problem_1492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bf4774c9fc575a7f6508813b45b755933795931c6b2b503fae814d2c1807df3
+size 261134
diff --git a/results/train/hyperbola/problem_1496.png b/results/train/hyperbola/problem_1496.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc6762d8913b46a37fe8adcb8884f7eba5e4bdc9
--- /dev/null
+++ b/results/train/hyperbola/problem_1496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:078238f1243c86657aa5f5a1da91f2460cbf27016748c48d45d0f5a94bc0c789
+size 266371
diff --git a/results/train/hyperbola/problem_1501.png b/results/train/hyperbola/problem_1501.png
new file mode 100644
index 0000000000000000000000000000000000000000..67939f6c6c4dc93fcad3c8b52098d49fe4910860
--- /dev/null
+++ b/results/train/hyperbola/problem_1501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1455fc9eef2a74c44448191f606f40f0494b61362dfbc2d5558a78a15bdee52c
+size 266167
diff --git a/results/train/hyperbola/problem_1504.png b/results/train/hyperbola/problem_1504.png
new file mode 100644
index 0000000000000000000000000000000000000000..0112b27d580f6eb02de114f1d05109fc27b0f7b4
--- /dev/null
+++ b/results/train/hyperbola/problem_1504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ed72ad904a31c907d809df98d31bc19646b1f4bdfb6bff94de968674e6fa755
+size 250521
diff --git a/results/train/hyperbola/problem_1505.png b/results/train/hyperbola/problem_1505.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e112b3a6f02e99dc6d454d7d9bb19e506dde52d
--- /dev/null
+++ b/results/train/hyperbola/problem_1505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0684844e4714b2393cacbcf5b5bec1014c8cf23c636ddac23e2ea1091f1e5f82
+size 259529
diff --git a/results/train/hyperbola/problem_1506.png b/results/train/hyperbola/problem_1506.png
new file mode 100644
index 0000000000000000000000000000000000000000..40b507d175331f48e358670a1f0db59af758baf5
--- /dev/null
+++ b/results/train/hyperbola/problem_1506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c43bf2cee41b6059018d88650317afec566cc213b3f957dbf930495d41516da5
+size 250663
diff --git a/results/train/hyperbola/problem_1509.png b/results/train/hyperbola/problem_1509.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcea84888b7dc941ee15084811c01f596b750fac
--- /dev/null
+++ b/results/train/hyperbola/problem_1509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87f36e37a71b5d0cdd4b256085451c39706bbdcee32bff3cc1d774715f004b10
+size 237155
diff --git a/results/train/hyperbola/problem_1510.png b/results/train/hyperbola/problem_1510.png
new file mode 100644
index 0000000000000000000000000000000000000000..5df5c84bef05c8abebb29f77707e7b789f4d4c0b
--- /dev/null
+++ b/results/train/hyperbola/problem_1510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f97d2320a79a5f1503be5e0b84332b70b68c7021954a7a4118c4841aaa6d878c
+size 259602
diff --git a/results/train/hyperbola/problem_1513.png b/results/train/hyperbola/problem_1513.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6e72be329f0b795f550c2176deb0de56718f923
--- /dev/null
+++ b/results/train/hyperbola/problem_1513.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbdcbcacaac1845271b702da163ceb3a185323c197b2de4c3f67b6fd30edb892
+size 258998
diff --git a/results/train/hyperbola/problem_1519.png b/results/train/hyperbola/problem_1519.png
new file mode 100644
index 0000000000000000000000000000000000000000..3be68a3ccba1a5ddfdb2134a64c7ff154f9aab18
--- /dev/null
+++ b/results/train/hyperbola/problem_1519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a439dfb367564e681d647122fe2455460ff4afd98f7d3b1d874e9177ba5b1787
+size 267088
diff --git a/results/train/hyperbola/problem_1525.png b/results/train/hyperbola/problem_1525.png
new file mode 100644
index 0000000000000000000000000000000000000000..abf1ef2cf086a287a17aa5c76d7eab71cc7ddf17
--- /dev/null
+++ b/results/train/hyperbola/problem_1525.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2df60f0c5e10d2d757fb793db6b7490c9cb19a604c6ad2d5b7d3152152dddc1
+size 279320
diff --git a/results/train/hyperbola/problem_1527.png b/results/train/hyperbola/problem_1527.png
new file mode 100644
index 0000000000000000000000000000000000000000..5923a6197149f8a7f2225ced1b427f7037876dd0
--- /dev/null
+++ b/results/train/hyperbola/problem_1527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e35b552caf1d17bea0b93821c85e72ffe4cd6473ecae87ec7878d5605fe9a84
+size 262120
diff --git a/results/train/hyperbola/problem_1528.png b/results/train/hyperbola/problem_1528.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaddb48ff38751e4eb284dacdbbb7140d5ad7865
--- /dev/null
+++ b/results/train/hyperbola/problem_1528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c39075c02e0d025753dd59a3b08b8c677ca78e2a6082eea1d528d7ec851bc74
+size 290344
diff --git a/results/train/hyperbola/problem_1530.png b/results/train/hyperbola/problem_1530.png
new file mode 100644
index 0000000000000000000000000000000000000000..59946065f2ab87c1e94b665abad4c68f384b9a93
--- /dev/null
+++ b/results/train/hyperbola/problem_1530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:870bece6520c32aaa3d339369766112aae1456d281d64793a77ef236a8724c55
+size 242662
diff --git a/results/train/hyperbola/problem_1533.png b/results/train/hyperbola/problem_1533.png
new file mode 100644
index 0000000000000000000000000000000000000000..906870a66b8d22f52b97fd9fe539efc1c1777c56
--- /dev/null
+++ b/results/train/hyperbola/problem_1533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c482ff17e0ed4895fe0738e865601682b0b92b2226a9b6d7e2af301a0806d0c
+size 270601
diff --git a/results/train/hyperbola/problem_1536.png b/results/train/hyperbola/problem_1536.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eea999916f20d56d8d370eef3f2a643d7861200
--- /dev/null
+++ b/results/train/hyperbola/problem_1536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48d66e618a49beaceceb9889886fbead9f36e65c2295efa15a1b4a12d604001b
+size 261418
diff --git a/results/train/hyperbola/problem_1538.png b/results/train/hyperbola/problem_1538.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab87f49cf999a21be4c0f3f6435b1ce45c481a61
--- /dev/null
+++ b/results/train/hyperbola/problem_1538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fde26fa06df5263ae42a197cc94672cdf8df031879441cd8b1da415317bfc61d
+size 259192
diff --git a/results/train/hyperbola/problem_1541.png b/results/train/hyperbola/problem_1541.png
new file mode 100644
index 0000000000000000000000000000000000000000..e430cd6c389b718e5f3b08e61d97a86eff4bb4ad
--- /dev/null
+++ b/results/train/hyperbola/problem_1541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ee6b3695e062c67255e263c53defaa733ff793c09456da48b167a15c2246bea
+size 271651
diff --git a/results/train/hyperbola/problem_1550.png b/results/train/hyperbola/problem_1550.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8c5adf8ef87c4c0ed22dc1ea8baee50dfad24eb
--- /dev/null
+++ b/results/train/hyperbola/problem_1550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65e231007ea01567473f2738730ee1dce9d4bfbf2a351620b73d294c1647fd38
+size 283155
diff --git a/results/train/hyperbola/problem_1561.png b/results/train/hyperbola/problem_1561.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e3db8e7f4999b279c4daed18ba48ffaceaee33a
--- /dev/null
+++ b/results/train/hyperbola/problem_1561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:421f36ec6157cead5078b3a349c37fc121b82f58d2ffd170dfcb6330e56235c3
+size 249748
diff --git a/results/train/hyperbola/problem_1566.png b/results/train/hyperbola/problem_1566.png
new file mode 100644
index 0000000000000000000000000000000000000000..8996b0c0f8d8dacb419768abb8e3c53b1261f819
--- /dev/null
+++ b/results/train/hyperbola/problem_1566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48485111352c2273d37ffc84353b3e6cfa1f44e59301c051d7b23f20bd787ae6
+size 238401
diff --git a/results/train/hyperbola/problem_1567.png b/results/train/hyperbola/problem_1567.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bac9fdaaf8fbdc944802a52dca9ec108fb15064
--- /dev/null
+++ b/results/train/hyperbola/problem_1567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bb10c3541a326fc9662a8bd396dea7d93e77aa5482878552c8224eaff3d3f4d
+size 277960
diff --git a/results/train/hyperbola/problem_1579.png b/results/train/hyperbola/problem_1579.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5119a395c29e39ff992440ecc5976358bd42134
--- /dev/null
+++ b/results/train/hyperbola/problem_1579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:894167efadad16f7f76b5bb4b9e90532a4b10c0ce024995798f648e2e9269067
+size 272877
diff --git a/results/train/hyperbola/problem_1580.png b/results/train/hyperbola/problem_1580.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4792e7d82e01635e580664ffe5c3a2aa1395ab1
--- /dev/null
+++ b/results/train/hyperbola/problem_1580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55468b9defd55e226177aa548fb7d4a6c4b8979b5de07dd8d5d2582a36f0b3e5
+size 260682
diff --git a/results/train/hyperbola/problem_1583.png b/results/train/hyperbola/problem_1583.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea6fdd29a7bdacc79b05c48e1301fe7c02e16d20
--- /dev/null
+++ b/results/train/hyperbola/problem_1583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7160d600408f8c0a82da62dbe140d79dfc607c22f2e20904b1d87ec5c5e91a06
+size 266751
diff --git a/results/train/hyperbola/problem_1585.png b/results/train/hyperbola/problem_1585.png
new file mode 100644
index 0000000000000000000000000000000000000000..517757130833f15f61c71a524e4b4981a678fffa
--- /dev/null
+++ b/results/train/hyperbola/problem_1585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbe557fcce2d3101dd9f6b0153c8d81315f84c06494effbb2707e19216aeb144
+size 241995
diff --git a/results/train/hyperbola/problem_1586.png b/results/train/hyperbola/problem_1586.png
new file mode 100644
index 0000000000000000000000000000000000000000..40ce8a32019d6006d8eff9735efc106bc3c52c1e
--- /dev/null
+++ b/results/train/hyperbola/problem_1586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1738aeca29ce42f45108e3ee4c4d67c05a244d628ea20ed57eb266e04971b366
+size 271058
diff --git a/results/train/hyperbola/problem_1589.png b/results/train/hyperbola/problem_1589.png
new file mode 100644
index 0000000000000000000000000000000000000000..552badfbb8c95d68e2b0075a4989331971396dda
--- /dev/null
+++ b/results/train/hyperbola/problem_1589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fb1c245f6d741960007ddef0a859669ef994c44e54353b68fcd5b3672c168e8
+size 268023
diff --git a/results/train/hyperbola/problem_1594.png b/results/train/hyperbola/problem_1594.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd847347db0d87aba82742b691bd28e41b018ff9
--- /dev/null
+++ b/results/train/hyperbola/problem_1594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76bc62bb13c090e71f3129e61a8a39893b18e052fb699fce8976d987ee9314eb
+size 300860
diff --git a/results/train/hyperbola/problem_1601.png b/results/train/hyperbola/problem_1601.png
new file mode 100644
index 0000000000000000000000000000000000000000..a11001eef08d524d01ba8f1735aad5644e1b3fc6
--- /dev/null
+++ b/results/train/hyperbola/problem_1601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e4b69dc21c64b176eda5e9410dd591150c41dc5814e152f9f20c62d633ed0c8
+size 251518
diff --git a/results/train/hyperbola/problem_1604.png b/results/train/hyperbola/problem_1604.png
new file mode 100644
index 0000000000000000000000000000000000000000..8396a2cf0b56507178c18ce35bf42adefb4d0865
--- /dev/null
+++ b/results/train/hyperbola/problem_1604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a939d07add92111eeb91115bcab0cfbff175b5ca02f77e78593f5de45ea2ef5
+size 260730
diff --git a/results/train/hyperbola/problem_1606.png b/results/train/hyperbola/problem_1606.png
new file mode 100644
index 0000000000000000000000000000000000000000..055fff08a79ee4e5845af3c009901c493f38b09f
--- /dev/null
+++ b/results/train/hyperbola/problem_1606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:952775c719e94ac84ffe936d6e649a31c3b25bb2377874e1e84bceb19c00c288
+size 271201
diff --git a/results/train/hyperbola/problem_1610.png b/results/train/hyperbola/problem_1610.png
new file mode 100644
index 0000000000000000000000000000000000000000..3faa2a88c1ec1d4d3137c04aba12fc3770db990a
--- /dev/null
+++ b/results/train/hyperbola/problem_1610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33f3723a7e0fb6f8402f43e8a8351a828aa69f17e05f2dd83597344b508864b7
+size 291522
diff --git a/results/train/hyperbola/problem_1614.png b/results/train/hyperbola/problem_1614.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc5d1f41f0c1ee7ca8b84e816b460e8514d20ef5
--- /dev/null
+++ b/results/train/hyperbola/problem_1614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fedb9c02acf53a141221e15868441f0d6c81d15d5ec4385b7051aede2568d406
+size 280413
diff --git a/results/train/hyperbola/problem_1617.png b/results/train/hyperbola/problem_1617.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3cd7393c843a147aa597edde9199ac687fc8580
--- /dev/null
+++ b/results/train/hyperbola/problem_1617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e1b6b0d5603cee2e7b89b5b53ef48d77d88ced1460f0b7359cb96206e12d438
+size 282263
diff --git a/results/train/hyperbola/problem_1620.png b/results/train/hyperbola/problem_1620.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bdb5b02d5266ca4767af1cc53ceafdabcd4280a
--- /dev/null
+++ b/results/train/hyperbola/problem_1620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bd42f4fc3b509affb884879247c90f62128cb431fe8691482dc27483dcdc504
+size 204723
diff --git a/results/train/hyperbola/problem_1623.png b/results/train/hyperbola/problem_1623.png
new file mode 100644
index 0000000000000000000000000000000000000000..63b7a63272c2fb0d4b3fe702df130ca91a94d890
--- /dev/null
+++ b/results/train/hyperbola/problem_1623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6b49a7e658a7a2f155c16a9a4e401440608b736f2653d8c42e4813655e2d7f7
+size 268342
diff --git a/results/train/hyperbola/problem_1629.png b/results/train/hyperbola/problem_1629.png
new file mode 100644
index 0000000000000000000000000000000000000000..6bc6767ca0adf82219f499a5a0e34a5d88fc7941
--- /dev/null
+++ b/results/train/hyperbola/problem_1629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d747bc821ed58057454c27f064fa535c402aeac37337d1fff843889c353f4338
+size 263586
diff --git a/results/train/hyperbola/problem_1636.png b/results/train/hyperbola/problem_1636.png
new file mode 100644
index 0000000000000000000000000000000000000000..52ff4e0162224a0304f059d5c343411a1e850cf9
--- /dev/null
+++ b/results/train/hyperbola/problem_1636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb78cba108bd2aebef498b10ab48c3eedd161b58be3deeb68d8f30668f0b6c39
+size 243252
diff --git a/results/train/hyperbola/problem_1637.png b/results/train/hyperbola/problem_1637.png
new file mode 100644
index 0000000000000000000000000000000000000000..0aa4ae86d3f552f582a0c1a8ca87fe8180018850
--- /dev/null
+++ b/results/train/hyperbola/problem_1637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecf9b1999379ad08abdcec3a5038abaa62f11b627460b831c70b18bf8e26d943
+size 278786
diff --git a/results/train/hyperbola/problem_1640.png b/results/train/hyperbola/problem_1640.png
new file mode 100644
index 0000000000000000000000000000000000000000..847960c8e9339147fd3bd83725a834b5396da831
--- /dev/null
+++ b/results/train/hyperbola/problem_1640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c91e53d42a36d0717ae5595c491bffb8c7a58dd87fbc2ceb0cc7313d1d5a16e
+size 240988
diff --git a/results/train/hyperbola/problem_1643.png b/results/train/hyperbola/problem_1643.png
new file mode 100644
index 0000000000000000000000000000000000000000..31f9878cbfecf56c253f063d55862377dbc957b4
--- /dev/null
+++ b/results/train/hyperbola/problem_1643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c999b181810fe390245d684bc1024aac701c61f7912505064f41c48c2ef5884d
+size 254152
diff --git a/results/train/hyperbola/problem_1648.png b/results/train/hyperbola/problem_1648.png
new file mode 100644
index 0000000000000000000000000000000000000000..62231fdbb73d5f51e53bdea9c635fabc27b1fa38
--- /dev/null
+++ b/results/train/hyperbola/problem_1648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60f207f22f5978788c29622b7fe9686377aac1fa2d32b31f3f2202f8d70a6dec
+size 266245
diff --git a/results/train/hyperbola/problem_1649.png b/results/train/hyperbola/problem_1649.png
new file mode 100644
index 0000000000000000000000000000000000000000..41e1d5899e557b8545dce3f7d0d56c69077a2ad7
--- /dev/null
+++ b/results/train/hyperbola/problem_1649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4d69730a5dfd5ef4ac17b66fc59662e1f76278d31c2985b1057b93bf28889b3
+size 265574
diff --git a/results/train/hyperbola/problem_1650.png b/results/train/hyperbola/problem_1650.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa37ff29abc2c24f93e82d2fcb68c68d9698d635
--- /dev/null
+++ b/results/train/hyperbola/problem_1650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90246d4149d10ae06f98f3b60aff22514029c0aac5f2b6319200afa139fab33c
+size 266138
diff --git a/results/train/hyperbola/problem_1652.png b/results/train/hyperbola/problem_1652.png
new file mode 100644
index 0000000000000000000000000000000000000000..e40f90ff670e24b2e0ed1b2c3a0a2424c8f0afe1
--- /dev/null
+++ b/results/train/hyperbola/problem_1652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bde138beef62a82237261881bce25b61a61165e308388f134b8987add5660c84
+size 253643
diff --git a/results/train/hyperbola/problem_1658.png b/results/train/hyperbola/problem_1658.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8c0cbec8e7e929f2ba3b4a081b3bfd1dd6140d0
--- /dev/null
+++ b/results/train/hyperbola/problem_1658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc7d6804509ea89e6562731306db72cd77616e1669e4596d21ca95f8f6b14591
+size 272756
diff --git a/results/train/hyperbola/problem_1663.png b/results/train/hyperbola/problem_1663.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd3efc195e63fa293c893eb258b414dc229f753f
--- /dev/null
+++ b/results/train/hyperbola/problem_1663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f47792328ee37911b7df4ad68856972125063c4baad401b7be249c68aae2b52c
+size 259630
diff --git a/results/train/hyperbola/problem_1665.png b/results/train/hyperbola/problem_1665.png
new file mode 100644
index 0000000000000000000000000000000000000000..bed4800734148f855bbcee10e66cb8ca5fac315e
--- /dev/null
+++ b/results/train/hyperbola/problem_1665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05a27e45b422d01e70b217718098baffb21bdcd94d3aa833e32e67c762280e9e
+size 269824
diff --git a/results/train/hyperbola/problem_1667.png b/results/train/hyperbola/problem_1667.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9ea5173a0739babcc6d6a54a432de3c7d707ff8
--- /dev/null
+++ b/results/train/hyperbola/problem_1667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33ea1f205851e7fe971ec71b784b939c2193b91dd403457a9c81c29df49bb1cc
+size 273100
diff --git a/results/train/hyperbola/problem_1669.png b/results/train/hyperbola/problem_1669.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c90cc86ad39dcbc7b941fc7c3b7ccab5d95ba5f
--- /dev/null
+++ b/results/train/hyperbola/problem_1669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63ea42aa15ac92b32ee7e48c545923e7e83524fb860ce8f0334f895f335db49f
+size 265488
diff --git a/results/train/hyperbola/problem_1674.png b/results/train/hyperbola/problem_1674.png
new file mode 100644
index 0000000000000000000000000000000000000000..658d280b3d714325e3efa28bc8c3fabd7ba92ac5
--- /dev/null
+++ b/results/train/hyperbola/problem_1674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4729c88dfba94705b01b9bfc2bd2e165677109729ddf72bd07d5c902389f7be2
+size 277834
diff --git a/results/train/hyperbola/problem_1676.png b/results/train/hyperbola/problem_1676.png
new file mode 100644
index 0000000000000000000000000000000000000000..c770d5b282990427455b90ec4ca19f0fead211d6
--- /dev/null
+++ b/results/train/hyperbola/problem_1676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2399842301f2ecc10109aa22ab43ba3497806ea336ff3ce61796b3619d24635a
+size 272610
diff --git a/results/train/hyperbola/problem_1678.png b/results/train/hyperbola/problem_1678.png
new file mode 100644
index 0000000000000000000000000000000000000000..a27bd5266d7dde899447cd74487c7d72bc8b1979
--- /dev/null
+++ b/results/train/hyperbola/problem_1678.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3682fa170ce1d7769cbbe320f959605eb1a78541f5a3764c8d54771f6442add
+size 276493
diff --git a/results/train/hyperbola/problem_1682.png b/results/train/hyperbola/problem_1682.png
new file mode 100644
index 0000000000000000000000000000000000000000..6be12dc1b5dc45fa949cd4f36d267c18b05a15aa
--- /dev/null
+++ b/results/train/hyperbola/problem_1682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3700debf64924f664dd11dd9af347e8eeec3cf8f0aac02d90bb9fb50f8f73fce
+size 276499
diff --git a/results/train/hyperbola/problem_1689.png b/results/train/hyperbola/problem_1689.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa7e4cfd475c126140fb13a9ae4e545c1c83535d
--- /dev/null
+++ b/results/train/hyperbola/problem_1689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ac4f8d52188ddb78adbcf6553a4c644e4165571a934654ca8d9827f01497b2c
+size 257603
diff --git a/results/train/hyperbola/problem_1698.png b/results/train/hyperbola/problem_1698.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc9156ebc2412b4569722dc8230d11c9c08c857d
--- /dev/null
+++ b/results/train/hyperbola/problem_1698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd6a2578e36bcc9daf93cfea9ccf848f1a9709fc2d764edf7f3674b35dceb00d
+size 264123
diff --git a/results/train/hyperbola/problem_1713.png b/results/train/hyperbola/problem_1713.png
new file mode 100644
index 0000000000000000000000000000000000000000..d99c4e1e9ad9e4e3ad4ca20782869a6a138ae162
--- /dev/null
+++ b/results/train/hyperbola/problem_1713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3843433bd92575be47802f911ce64eec6bb61f05453af1babed6e44d098e004
+size 298794
diff --git a/results/train/hyperbola/problem_1717.png b/results/train/hyperbola/problem_1717.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7d70373e67958a8638af1d35c4b5629108d0bf1
--- /dev/null
+++ b/results/train/hyperbola/problem_1717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9279d71a296acafa316516cd2befa27bdd3db0f0ecba9ffb680b412a6a957b24
+size 262621
diff --git a/results/train/hyperbola/problem_1718.png b/results/train/hyperbola/problem_1718.png
new file mode 100644
index 0000000000000000000000000000000000000000..69511f868a2b285705014689dec43666c9f4ab09
--- /dev/null
+++ b/results/train/hyperbola/problem_1718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1296946c837588f54a910836ce57001bd074aab36e1423e7b87bd1f668cc593e
+size 270819
diff --git a/results/train/hyperbola/problem_1720.png b/results/train/hyperbola/problem_1720.png
new file mode 100644
index 0000000000000000000000000000000000000000..f65f267e8d1360c3ab1e041eb00b4a528036693e
--- /dev/null
+++ b/results/train/hyperbola/problem_1720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6459b824b1d9152a1da44eeb445ca741f10d47b47c5ad0fe4383ef78d259af88
+size 264511
diff --git a/results/train/hyperbola/problem_1725.png b/results/train/hyperbola/problem_1725.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d28560096982fd5be8788fde899af67b55a5784
--- /dev/null
+++ b/results/train/hyperbola/problem_1725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edccc097e5c2bae610e46704a06a85bd2030c913feb14ff8ee1bb37b811fe920
+size 274242
diff --git a/results/train/hyperbola/problem_1728.png b/results/train/hyperbola/problem_1728.png
new file mode 100644
index 0000000000000000000000000000000000000000..21c56a97baebdcd9ce8c3ab2ce12fbf5e0a89b80
--- /dev/null
+++ b/results/train/hyperbola/problem_1728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2139a86ff08045a9fa12c522ce2313dc983e0ae487cad3aaea97d286a6d4307f
+size 246250
diff --git a/results/train/hyperbola/problem_1732.png b/results/train/hyperbola/problem_1732.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9e190ab00b31c53128c7ab9181314edb61b0e52
--- /dev/null
+++ b/results/train/hyperbola/problem_1732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf204f09afad743f0a409e800bbc6a410125394ea9e3418f2f7ae310e11495c7
+size 272813
diff --git a/results/train/hyperbola/problem_1733.png b/results/train/hyperbola/problem_1733.png
new file mode 100644
index 0000000000000000000000000000000000000000..32c2dd27bc2deb947637fc92d2c32897dd25cab0
--- /dev/null
+++ b/results/train/hyperbola/problem_1733.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b8e4d284b956a69ec5f2fb01c6ffdc0b91aada57112b08bd82668497ad2c806
+size 254793
diff --git a/results/train/hyperbola/problem_1734.png b/results/train/hyperbola/problem_1734.png
new file mode 100644
index 0000000000000000000000000000000000000000..193a7773271773df0778ca4c6ce917bd9da583a7
--- /dev/null
+++ b/results/train/hyperbola/problem_1734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca2541a138531ac0aa83dac19750cee7af406d65a56003c02a0ea2e40f7eee96
+size 258479
diff --git a/results/train/hyperbola/problem_1737.png b/results/train/hyperbola/problem_1737.png
new file mode 100644
index 0000000000000000000000000000000000000000..0572644ae83768d1d6883f4634a78cc1309a480f
--- /dev/null
+++ b/results/train/hyperbola/problem_1737.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:083389af56ed62af57fdcc04f1a3ce3e9c1fb668cf4b46c10cce92f7713b374f
+size 273446
diff --git a/results/train/hyperbola/problem_1739.png b/results/train/hyperbola/problem_1739.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9be92d2e851dfc01fecbdbe7c912b572aa05faa
--- /dev/null
+++ b/results/train/hyperbola/problem_1739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba8c018d6fbf2097d8d21978b2056c92ea48bb71ab0fe2c013fef4c30d7102f3
+size 273357
diff --git a/results/train/hyperbola/problem_1740.png b/results/train/hyperbola/problem_1740.png
new file mode 100644
index 0000000000000000000000000000000000000000..82ff0e032e747967af482852fc69c016009d1bce
--- /dev/null
+++ b/results/train/hyperbola/problem_1740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd5819736e6b322d0cfc02fa17be5d5cd82d75130f34b03c97cfae3757e4def1
+size 267194
diff --git a/results/train/hyperbola/problem_1746.png b/results/train/hyperbola/problem_1746.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8a72e72a1fea61f5e47c5630773e0ff58b8ff9c
--- /dev/null
+++ b/results/train/hyperbola/problem_1746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56d48c3056aa6bcfd1e1a68e54bfdbcd6adc25403d3cfebd879766198ff1cd7b
+size 259413
diff --git a/results/train/hyperbola/problem_1748.png b/results/train/hyperbola/problem_1748.png
new file mode 100644
index 0000000000000000000000000000000000000000..b24da6e220bafde80a0e16097e07c9b729146e9a
--- /dev/null
+++ b/results/train/hyperbola/problem_1748.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f4f497455662c56ff770d501e94efd927c021273ab57572edcf6e3630165753
+size 269098
diff --git a/results/train/hyperbola/problem_1753.png b/results/train/hyperbola/problem_1753.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ede2ffbc555371523bf9ffb1481f5bc1eef848f
--- /dev/null
+++ b/results/train/hyperbola/problem_1753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:646c7803e860edc93609ccb392e509db7eae2a60c0e6a723ced5f89caa78a4ed
+size 247545
diff --git a/results/train/hyperbola/problem_1758.png b/results/train/hyperbola/problem_1758.png
new file mode 100644
index 0000000000000000000000000000000000000000..d05ef67878c4c2115e3004259d25d00adc10b4cf
--- /dev/null
+++ b/results/train/hyperbola/problem_1758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b7ab7245f26e4a886a825fc07882b3da0f52bcc0657ac9d3118dc34dd2703ea7
+size 257328
diff --git a/results/train/hyperbola/problem_1763.png b/results/train/hyperbola/problem_1763.png
new file mode 100644
index 0000000000000000000000000000000000000000..28ea0e101de7c5a3f57572acdff3cf432595586a
--- /dev/null
+++ b/results/train/hyperbola/problem_1763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5babe067ad72b225840b0a2e3a75c4f2ed535824665957490ccc0961997ee56d
+size 272157
diff --git a/results/train/hyperbola/problem_1765.png b/results/train/hyperbola/problem_1765.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5af118554ca17f021397d602b032cd960547fe7
--- /dev/null
+++ b/results/train/hyperbola/problem_1765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71c8d2a296e8498a69c6986fffa79ac824e9ec5a3d0d16f044ba6714c2815eac
+size 269581
diff --git a/results/train/hyperbola/problem_1767.png b/results/train/hyperbola/problem_1767.png
new file mode 100644
index 0000000000000000000000000000000000000000..870349a394e7991a43584204c2e3482a2f78b391
--- /dev/null
+++ b/results/train/hyperbola/problem_1767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a973a6ae7bf90eb6ccc7c99c415db423c3ad064193465606d0a38461160440d
+size 238637
diff --git a/results/train/hyperbola/problem_1769.png b/results/train/hyperbola/problem_1769.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc67c1372ab239ec260ccfa7f1b86d6efd12565e
--- /dev/null
+++ b/results/train/hyperbola/problem_1769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0630daf53f2ac5cb446bde1edae7c7f9940a3bea888bca7b547f649f882c45e1
+size 270136
diff --git a/results/train/hyperbola/problem_1771.png b/results/train/hyperbola/problem_1771.png
new file mode 100644
index 0000000000000000000000000000000000000000..1998c9f233447c7c138061c296b4a74215ab324c
--- /dev/null
+++ b/results/train/hyperbola/problem_1771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7990f2450d137f4cf4d023786997687d714127ed830e4b1421592e18bd2228f3
+size 273583
diff --git a/results/train/hyperbola/problem_1773.png b/results/train/hyperbola/problem_1773.png
new file mode 100644
index 0000000000000000000000000000000000000000..f713926ae9f8ef2ed981721a9a2134c7a236a9b6
--- /dev/null
+++ b/results/train/hyperbola/problem_1773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e4099c75a1aeedf1c57cac7331e7fa737a99fcc791de19f2bef9ad8bb1c01f3
+size 265378
diff --git a/results/train/hyperbola/problem_1774.png b/results/train/hyperbola/problem_1774.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f44ca9386f309e525b1078efd860d1defd719b5
--- /dev/null
+++ b/results/train/hyperbola/problem_1774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:330f50d0602ec6e5643bf2e72d9dd99d16f052520c4ac3069863e3e07539c1f2
+size 273767
diff --git a/results/train/hyperbola/problem_1782.png b/results/train/hyperbola/problem_1782.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0be51384aeae32bcaeb5b26681acc8548960380
--- /dev/null
+++ b/results/train/hyperbola/problem_1782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0739ce3b1cf072e798c2103392c38ce9f23771dd876887831bb8f0a698c7bc33
+size 273791
diff --git a/results/train/hyperbola/problem_1783.png b/results/train/hyperbola/problem_1783.png
new file mode 100644
index 0000000000000000000000000000000000000000..030212f5544c42a7f6b3575ad0a36f5933bbfd16
--- /dev/null
+++ b/results/train/hyperbola/problem_1783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e0a2a78ca9de1b8d0e0402882ddb19bffb37718bb8687349e4428ce5f31126a
+size 271095
diff --git a/results/train/hyperbola/problem_1784.png b/results/train/hyperbola/problem_1784.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff9b3ef8f2c0b9abbbd8e64491bf53a7e7439ae8
--- /dev/null
+++ b/results/train/hyperbola/problem_1784.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:352ab1f3dbae7c9bc7d51f8a5c0fec7faca3c72ec4e7804161c911076159f342
+size 258947
diff --git a/results/train/hyperbola/problem_1791.png b/results/train/hyperbola/problem_1791.png
new file mode 100644
index 0000000000000000000000000000000000000000..f98e816951062b423fc8b8689265847d0367f3e6
--- /dev/null
+++ b/results/train/hyperbola/problem_1791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:873925c257bce5e42f25ef9539a3b3b53cc37f5223daffa2f34626054a615eea
+size 250972
diff --git a/results/train/hyperbola/problem_1793.png b/results/train/hyperbola/problem_1793.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e2bc7c72257b41014be4e5f59a830190d6b8816
--- /dev/null
+++ b/results/train/hyperbola/problem_1793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bac2220cf61f40a755270295892be3c648d2b23209d09703f6f249162c56b2d3
+size 264189
diff --git a/results/train/hyperbola/problem_1797.png b/results/train/hyperbola/problem_1797.png
new file mode 100644
index 0000000000000000000000000000000000000000..de07bed734fb478b7f9ae6976023fb85029cf464
--- /dev/null
+++ b/results/train/hyperbola/problem_1797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef0a2d6aee094f9de0f0ba10ec3e9573dafcdbc8a119f85cf620abec74401920
+size 266504
diff --git a/results/train/hyperbola/problem_1799.png b/results/train/hyperbola/problem_1799.png
new file mode 100644
index 0000000000000000000000000000000000000000..1be1cc24376cdcb852f4350f72094a97a604a7cb
--- /dev/null
+++ b/results/train/hyperbola/problem_1799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d1521fce9a094572045d6943773d34720fb76e8a8f1b93fc1e5e3ff03445776
+size 261158
diff --git a/results/train/hyperbola/problem_1800.png b/results/train/hyperbola/problem_1800.png
new file mode 100644
index 0000000000000000000000000000000000000000..90dc430a87697bcfd5a496f09ff29ded0494e0ed
--- /dev/null
+++ b/results/train/hyperbola/problem_1800.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9239bdfaed23396e47f041ba8430b1e7f17622e6e96e6958c0de8a5ea830f120
+size 250589
diff --git a/results/train/hyperbola/problem_1802.png b/results/train/hyperbola/problem_1802.png
new file mode 100644
index 0000000000000000000000000000000000000000..805e890093ea9d68f37e3228b58f7731fd270770
--- /dev/null
+++ b/results/train/hyperbola/problem_1802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d415ed320e9108961c864adb72d8beaa5a0d9004c61ae22ead7c823dd983e70f
+size 266902
diff --git a/results/train/hyperbola/problem_1805.png b/results/train/hyperbola/problem_1805.png
new file mode 100644
index 0000000000000000000000000000000000000000..09825720b69f63f035d82170043c36ab997c4091
--- /dev/null
+++ b/results/train/hyperbola/problem_1805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16fb7be85c629ad06ed557d6f2ad2a136731edb62f9a3f6fdce5772797c0580f
+size 267278
diff --git a/results/train/hyperbola/problem_1809.png b/results/train/hyperbola/problem_1809.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff8e739aa10c7d1f74e091cbdb5fc9a65d03e9a9
--- /dev/null
+++ b/results/train/hyperbola/problem_1809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4e7f2556d06ed0ef626d5d93e121bd6ad6c6f7f579d43752dd317d8836ccd9a
+size 270340
diff --git a/results/train/hyperbola/problem_1814.png b/results/train/hyperbola/problem_1814.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1ce147c84fd9d92537673241e7e4ca2a162b5d1
--- /dev/null
+++ b/results/train/hyperbola/problem_1814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1377eda5481c17e09e3199ed16c6d3a156e02a623655c4e51ade0c11685f64a4
+size 269676
diff --git a/results/train/hyperbola/problem_1818.png b/results/train/hyperbola/problem_1818.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bf151a6249c3468a59899f9e8afbdad24294ad4
--- /dev/null
+++ b/results/train/hyperbola/problem_1818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fe6f2b540398512ff5efa0e1df48c75de035f14cc3286ef9bc3fa2c1fdfdbb6
+size 273603
diff --git a/results/train/hyperbola/problem_1830.png b/results/train/hyperbola/problem_1830.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b78bf7c1f5b7e4aa0d5262060eb7d29f0d7c6de
--- /dev/null
+++ b/results/train/hyperbola/problem_1830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18c9b3c92bcbb0409504be6caf44542a5d0fab503a4b3d55e6ac0103c3b49d6d
+size 262218
diff --git a/results/train/hyperbola/problem_1833.png b/results/train/hyperbola/problem_1833.png
new file mode 100644
index 0000000000000000000000000000000000000000..82ec1297ffafa66edd4574cb6cf118bded00b9c8
--- /dev/null
+++ b/results/train/hyperbola/problem_1833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea4f7031d2c7fbddb7bbbafaffc054177e6ee319ba18d1a0a5a2d2bcc0189ef3
+size 259967
diff --git a/results/train/hyperbola/problem_1834.png b/results/train/hyperbola/problem_1834.png
new file mode 100644
index 0000000000000000000000000000000000000000..7158bdfee644569622ab0fb3819013083ffcba7e
--- /dev/null
+++ b/results/train/hyperbola/problem_1834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fab572d779f3b16a5e3dfba86881d4782d909d5c91058f951366c5915c30398
+size 261805
diff --git a/results/train/hyperbola/problem_1836.png b/results/train/hyperbola/problem_1836.png
new file mode 100644
index 0000000000000000000000000000000000000000..517a8d2472a0298ddd88e9faff8bd44c541c331f
--- /dev/null
+++ b/results/train/hyperbola/problem_1836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:612032efa1d4e15a1badc164ae54300b5d1d16ca026b235978fe7303df3256d4
+size 257279
diff --git a/results/train/hyperbola/problem_1837.png b/results/train/hyperbola/problem_1837.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbed0a6977ba388ce7117589d39930980c4b19e0
--- /dev/null
+++ b/results/train/hyperbola/problem_1837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04c3ddffe5469a085df5ca09e572851b062ba6795b5e7f5d1843618b5b58c722
+size 268070
diff --git a/results/train/hyperbola/problem_1839.png b/results/train/hyperbola/problem_1839.png
new file mode 100644
index 0000000000000000000000000000000000000000..769faf45cfa100e65230609513495351a3f3d90f
--- /dev/null
+++ b/results/train/hyperbola/problem_1839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3051400f5ec0c14c49c0f0c3312639ca681e0b6ec5f9fc6480d8003cacad405f
+size 267306
diff --git a/results/train/hyperbola/problem_1841.png b/results/train/hyperbola/problem_1841.png
new file mode 100644
index 0000000000000000000000000000000000000000..64fed9201683ca3dd58243a340269968f0b84c9e
--- /dev/null
+++ b/results/train/hyperbola/problem_1841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63eddfc3d74853554f51b4a467c8e4632fde418598414f1d749e2f7169bdeb71
+size 281182
diff --git a/results/train/hyperbola/problem_1847.png b/results/train/hyperbola/problem_1847.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2b82016b1172ed9f182067643af365888040e05
--- /dev/null
+++ b/results/train/hyperbola/problem_1847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77c6ff6b13e142d781a914076862ee6fb545e603fd0b4109d7924dc224e47333
+size 291348
diff --git a/results/train/hyperbola/problem_1848.png b/results/train/hyperbola/problem_1848.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ef9854d2e7e4d19dba11c05a2e659d467d5f133
--- /dev/null
+++ b/results/train/hyperbola/problem_1848.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a8739f13d130cbd32d5b7de3b30f638b62adc842def7a29d157f9138f0bc070
+size 258798
diff --git a/results/train/hyperbola/problem_1852.png b/results/train/hyperbola/problem_1852.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f24a48474b15b6fee708d99dbb7c34aebf0950e
--- /dev/null
+++ b/results/train/hyperbola/problem_1852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7e89814523f2f0643b41e98801650dfd712acf5b1a82f68b28aa8dc82d767b4
+size 273501
diff --git a/results/train/hyperbola/problem_1854.png b/results/train/hyperbola/problem_1854.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fc0d3fdd63b5c2b9c2f24aaf33667db224f0bb4
--- /dev/null
+++ b/results/train/hyperbola/problem_1854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c843db1d0d84241934dd7dd2eb8c070d5341d64600791de62edacbd4372226f5
+size 267538
diff --git a/results/train/hyperbola/problem_1855.png b/results/train/hyperbola/problem_1855.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7a0e5c387e47ee2a3963255674b1748687e8f06
--- /dev/null
+++ b/results/train/hyperbola/problem_1855.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2f0d287edb0e8ae1e9f76f14fea7e3ff0094daa7fe63e956f1a2a2e0feac4ae
+size 282270
diff --git a/results/train/hyperbola/problem_1859.png b/results/train/hyperbola/problem_1859.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d3b182b2b3600f1bb882c7598881223b6311908
--- /dev/null
+++ b/results/train/hyperbola/problem_1859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6440ecf46bd0e37954e822d2e7d4448ea3a11fa2c86794a3e82d18991c5df26e
+size 266249
diff --git a/results/train/hyperbola/problem_1860.png b/results/train/hyperbola/problem_1860.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3a90fce29f62b9189e914539bba79875bb48f42
--- /dev/null
+++ b/results/train/hyperbola/problem_1860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ccd0bcb9d989476389c121f194626bebc8fb04f595ec7f6569c0ba2401f30a
+size 279733
diff --git a/results/train/hyperbola/problem_1864.png b/results/train/hyperbola/problem_1864.png
new file mode 100644
index 0000000000000000000000000000000000000000..19f8a8f84a24b9acb4d1968c09d6bb1d5957cf61
--- /dev/null
+++ b/results/train/hyperbola/problem_1864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af3579bd3edbd1c561d84cff0edca8dc26123ea4ad57be2e080dc392635b51a5
+size 262768
diff --git a/results/train/hyperbola/problem_1867.png b/results/train/hyperbola/problem_1867.png
new file mode 100644
index 0000000000000000000000000000000000000000..da225fb3a393b8ce5b7e9e70d1a41258e9c49020
--- /dev/null
+++ b/results/train/hyperbola/problem_1867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ebb1e3b46c3bea4d0d6222ed3a7fe07864154bdad6d5e5e511c25d2deed9460
+size 254244
diff --git a/results/train/hyperbola/problem_1869.png b/results/train/hyperbola/problem_1869.png
new file mode 100644
index 0000000000000000000000000000000000000000..f55f553414e59aeca3e4f869cde1cb6af4072be9
--- /dev/null
+++ b/results/train/hyperbola/problem_1869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2108bd90b9325911ac2da27a0ff4fd974587b47efe787daa64cae264f6ddc6e2
+size 237389
diff --git a/results/train/hyperbola/problem_1871.png b/results/train/hyperbola/problem_1871.png
new file mode 100644
index 0000000000000000000000000000000000000000..18aad0e472cfa058961b33f0d66bd8aa1c8e005b
--- /dev/null
+++ b/results/train/hyperbola/problem_1871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e032a6629b1c8a71921da78d4b3ad3e1ab8538961a38b094eb1a3bb2bc33f7b
+size 243790
diff --git a/results/train/hyperbola/problem_1875.png b/results/train/hyperbola/problem_1875.png
new file mode 100644
index 0000000000000000000000000000000000000000..1afbc1afc81eecf5e6b88d313d633b5550ea589a
--- /dev/null
+++ b/results/train/hyperbola/problem_1875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e14f433d722202b704c9c894f0d057b1cfac0b6150f25cdb592c6eccd46c576
+size 272090
diff --git a/results/train/hyperbola/problem_1882.png b/results/train/hyperbola/problem_1882.png
new file mode 100644
index 0000000000000000000000000000000000000000..6894c70fff30fb69bcbe08f7d6cc4a0672135952
--- /dev/null
+++ b/results/train/hyperbola/problem_1882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1621def717e7304f35ca1882e8b693b7c65623a8fcb9222d4afa1fa2b9d354de
+size 265285
diff --git a/results/train/hyperbola/problem_1889.png b/results/train/hyperbola/problem_1889.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8e9395740343073d2730c53b40f4cfb6b94c89d
--- /dev/null
+++ b/results/train/hyperbola/problem_1889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8142c10e52716262c6986ff1d7aa859610db82eba10a6e0cea5955e84e7833f4
+size 273153
diff --git a/results/train/hyperbola/problem_1893.png b/results/train/hyperbola/problem_1893.png
new file mode 100644
index 0000000000000000000000000000000000000000..023bc1b2ce93f9264277e4e6212fc4c9b0aaa8cf
--- /dev/null
+++ b/results/train/hyperbola/problem_1893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d26f09939c653713c1aadf9562a09c56be5f590107d97d7389d22e15c82dcecd
+size 274229
diff --git a/results/train/hyperbola/problem_1894.png b/results/train/hyperbola/problem_1894.png
new file mode 100644
index 0000000000000000000000000000000000000000..02068403022425eb140470d4c4da55b7f8862cf0
--- /dev/null
+++ b/results/train/hyperbola/problem_1894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3186f3790719b421cc1694343d82f99b93aab3e2859c9ae5dbd5eff68852ad95
+size 262597
diff --git a/results/train/hyperbola/problem_1899.png b/results/train/hyperbola/problem_1899.png
new file mode 100644
index 0000000000000000000000000000000000000000..98e378280c70e819148f7522018021ff956843be
--- /dev/null
+++ b/results/train/hyperbola/problem_1899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f79663a0773e0a8902d45097412c924be32b7cf116e8bcbca0bca97f3db8d70
+size 280186
diff --git a/results/train/hyperbola/problem_1901.png b/results/train/hyperbola/problem_1901.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e476d55637014f8bd72a689078815251cbdd0b2
--- /dev/null
+++ b/results/train/hyperbola/problem_1901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3fc669998b10f70ee03aff27b21e6f6a8143389ed4458e52688c97713d09ae9
+size 273116
diff --git a/results/train/hyperbola/problem_1902.png b/results/train/hyperbola/problem_1902.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ef8b8ab8b5c5ee96fef05c12fbab30fe6fd25b7
--- /dev/null
+++ b/results/train/hyperbola/problem_1902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3514a07376f0065e098b2e3ce8eb4b2b5d10b2249266971bb850ee30edb606f
+size 257154
diff --git a/results/train/hyperbola/problem_1905.png b/results/train/hyperbola/problem_1905.png
new file mode 100644
index 0000000000000000000000000000000000000000..9890ae12b4718296469621271f2eff1afcb0d352
--- /dev/null
+++ b/results/train/hyperbola/problem_1905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e54ba1e31df486f3c45e814bc7303eabaf0f52dae7cbc42e85e5c28d3b5bece
+size 269344
diff --git a/results/train/hyperbola/problem_1906.png b/results/train/hyperbola/problem_1906.png
new file mode 100644
index 0000000000000000000000000000000000000000..806448c95f5974ed9f35409cd9a61bff1b8856fb
--- /dev/null
+++ b/results/train/hyperbola/problem_1906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:585abd31550251d47aa7db79bb7dabfddb8c66f5a7f75d749a7203e86eab60ad
+size 251080
diff --git a/results/train/hyperbola/problem_1907.png b/results/train/hyperbola/problem_1907.png
new file mode 100644
index 0000000000000000000000000000000000000000..52e5fdc781a634196017524d7fe1d3110d412c93
--- /dev/null
+++ b/results/train/hyperbola/problem_1907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae28a9a5304a49e2a567ab2e842123acbfa79c86c4b8e614ac49eccdb2585567
+size 272602
diff --git a/results/train/hyperbola/problem_1910.png b/results/train/hyperbola/problem_1910.png
new file mode 100644
index 0000000000000000000000000000000000000000..786aa7f01cd48ac276c8a84bb5ab36f5302207ab
--- /dev/null
+++ b/results/train/hyperbola/problem_1910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18e4417be65709b92c09c6bb45f98dc15c4d0fde634857d1186e87a7994dbedd
+size 256151
diff --git a/results/train/hyperbola/problem_1911.png b/results/train/hyperbola/problem_1911.png
new file mode 100644
index 0000000000000000000000000000000000000000..24609636613e347835c6636d151cf20d1108c7ac
--- /dev/null
+++ b/results/train/hyperbola/problem_1911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f61139b22d85a3f29a9a692962aa97e1ce31693dc3559082f24dafeeae0a7468
+size 267837
diff --git a/results/train/hyperbola/problem_1919.png b/results/train/hyperbola/problem_1919.png
new file mode 100644
index 0000000000000000000000000000000000000000..48c17a97e912ec96e83eb19c0b0c96c27e063b85
--- /dev/null
+++ b/results/train/hyperbola/problem_1919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb4a233264fcc3656aeccbcd486a9c766a8a5f9b2398cf1cb5ab1a4f54e1f652
+size 262654
diff --git a/results/train/hyperbola/problem_1923.png b/results/train/hyperbola/problem_1923.png
new file mode 100644
index 0000000000000000000000000000000000000000..394c77f6fe167d9deb32a10c3dceb63971f0a355
--- /dev/null
+++ b/results/train/hyperbola/problem_1923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:573420dfc4550696623c275015933dc6489e6a1a246f97766a3ae10fd9cef999
+size 275262
diff --git a/results/train/hyperbola/problem_1926.png b/results/train/hyperbola/problem_1926.png
new file mode 100644
index 0000000000000000000000000000000000000000..f31f042bc7b7f243defdabdd721bd8a37d736479
--- /dev/null
+++ b/results/train/hyperbola/problem_1926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c4c35c77741bcf1f6491b59f31deebd721ec4e6afa97f15cbc71cb25e27894e
+size 276489
diff --git a/results/train/hyperbola/problem_1927.png b/results/train/hyperbola/problem_1927.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab51d69f6495722d66b6e955f59fe824c5fdea4a
--- /dev/null
+++ b/results/train/hyperbola/problem_1927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03df801d5c5aeb967b21fa563effb886ae4018cd7034dc5283872d6cd62d238a
+size 256536
diff --git a/results/train/hyperbola/problem_1931.png b/results/train/hyperbola/problem_1931.png
new file mode 100644
index 0000000000000000000000000000000000000000..17a7a519145f5b9e73b25dc929365bb840cccf4a
--- /dev/null
+++ b/results/train/hyperbola/problem_1931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a3e75d9e033a9437db6b2c1fee0419101b7680e46bcba7b8235abba2d356ed1
+size 267518
diff --git a/results/train/hyperbola/problem_1939.png b/results/train/hyperbola/problem_1939.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4251553cffd21242724136ddbff0bae2643e0c9
--- /dev/null
+++ b/results/train/hyperbola/problem_1939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74fea8b64a23ae7d4764c52e934e17266bde57717e5bbd7a9ccb13451b8b166e
+size 256269
diff --git a/results/train/hyperbola/problem_1943.png b/results/train/hyperbola/problem_1943.png
new file mode 100644
index 0000000000000000000000000000000000000000..29b187fd553c7e0ece43afe97cd5c8f368a8a468
--- /dev/null
+++ b/results/train/hyperbola/problem_1943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60666229036b27fed2da0521b7103a54969b1874a0bfb86c351d644a5171265b
+size 259249
diff --git a/results/train/hyperbola/problem_1948.png b/results/train/hyperbola/problem_1948.png
new file mode 100644
index 0000000000000000000000000000000000000000..acbe77ff8e1c0fd8c34679f0e2b25818e01ded66
--- /dev/null
+++ b/results/train/hyperbola/problem_1948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1d5cae0587fa7c6ec91e707d5ba25e0b2ad293bd4dafa1b5a243c8682b467c3
+size 273664
diff --git a/results/train/hyperbola/problem_1952.png b/results/train/hyperbola/problem_1952.png
new file mode 100644
index 0000000000000000000000000000000000000000..f52d6817c7ba574f55435fd2e94685e5f21b0c7a
--- /dev/null
+++ b/results/train/hyperbola/problem_1952.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63d25b9c587e20c53cf54a871364cb0eb12738e31067c4ab91b88ba201bac9df
+size 271560
diff --git a/results/train/hyperbola/problem_1956.png b/results/train/hyperbola/problem_1956.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3371879d6705d36f8648cdf76fe69b3028a8e7e
--- /dev/null
+++ b/results/train/hyperbola/problem_1956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b56ae6f474046cca5584a9f83101d273184ea2c6ba92179c5853ec67711e4cd8
+size 265856
diff --git a/results/train/hyperbola/problem_1957.png b/results/train/hyperbola/problem_1957.png
new file mode 100644
index 0000000000000000000000000000000000000000..aaa8feae3685ec9af519b46280c3aa70c59bbfe5
--- /dev/null
+++ b/results/train/hyperbola/problem_1957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c43371e4dd8a0385c8789a2f71cc47366b2a077fd3603af247c08f7c718f9b5b
+size 256228
diff --git a/results/train/hyperbola/problem_1958.png b/results/train/hyperbola/problem_1958.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a7d578ff1c219d91d8a9bbef645a59dd86fa83b
--- /dev/null
+++ b/results/train/hyperbola/problem_1958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:603655dc72823e8aea3de8a85f3ac551d3d2d5933cbec89897e73108a7fd576c
+size 262174
diff --git a/results/train/hyperbola/problem_1965.png b/results/train/hyperbola/problem_1965.png
new file mode 100644
index 0000000000000000000000000000000000000000..dde0f49357054867d8262e6b8c019d11eae3dd4e
--- /dev/null
+++ b/results/train/hyperbola/problem_1965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07f8e1323a7a25dcb9f7a92075ffa77d1291079b1683c1724baa4bb96da283b4
+size 217792
diff --git a/results/train/hyperbola/problem_1970.png b/results/train/hyperbola/problem_1970.png
new file mode 100644
index 0000000000000000000000000000000000000000..011ac4f44d518bc02c5f71f5850ba20be2ff5506
--- /dev/null
+++ b/results/train/hyperbola/problem_1970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83b3775ef507022ac89a5aba143a7798da33700e643bb35350036e1d1aab72d8
+size 298114
diff --git a/results/train/hyperbola/problem_1979.png b/results/train/hyperbola/problem_1979.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0724b8e0fb10e0b6e38a814108938af3980df58
--- /dev/null
+++ b/results/train/hyperbola/problem_1979.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e86db25a112171ee65d2857f91b3ec12818189833f6880b522b6c1cc21032359
+size 271682
diff --git a/results/train/hyperbola/problem_1980.png b/results/train/hyperbola/problem_1980.png
new file mode 100644
index 0000000000000000000000000000000000000000..602aa2a82c5305823e8af68b5c323ed2945f6360
--- /dev/null
+++ b/results/train/hyperbola/problem_1980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95af8e1b11e1510fca603ed7571e21ba169d678548455e7c13044a6ea668367d
+size 261037
diff --git a/results/train/hyperbola/problem_1983.png b/results/train/hyperbola/problem_1983.png
new file mode 100644
index 0000000000000000000000000000000000000000..deb63362ce2c5f36e3a029a9a451fcbddab11f00
--- /dev/null
+++ b/results/train/hyperbola/problem_1983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c14062d98e6f4d969dcde8ed37999abd5e9684af1fef530eebac176299b4d1d2
+size 272348
diff --git a/results/train/hyperbola/problem_1986.png b/results/train/hyperbola/problem_1986.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7396a3666273f3d6ce133cc21434eb3ad027dfa
--- /dev/null
+++ b/results/train/hyperbola/problem_1986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eada29674f0f3c87041a82c975543e2b01bc63dec2146c4b9710e9c4a534c712
+size 235901
diff --git a/results/train/hyperbola/problem_1989.png b/results/train/hyperbola/problem_1989.png
new file mode 100644
index 0000000000000000000000000000000000000000..45fef6b979572069336a057c1ef341fca33f0568
--- /dev/null
+++ b/results/train/hyperbola/problem_1989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d744997c40a08ed1ab62a05186f1dd9046a3cd00cb28bc80d33a978c8622a63
+size 272704
diff --git a/results/train/hyperbola/problem_1990.png b/results/train/hyperbola/problem_1990.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa6413ed7d41c8cef147d77e5364dc9a5cfc8b7f
--- /dev/null
+++ b/results/train/hyperbola/problem_1990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67907f6e0b58638869c6812be787c256006e724d5e0f138f63c4a0498078f44a
+size 285393
diff --git a/results/train/hyperbola/problem_1992.png b/results/train/hyperbola/problem_1992.png
new file mode 100644
index 0000000000000000000000000000000000000000..b00607b24bbc743579ccffba3925f13abec10f65
--- /dev/null
+++ b/results/train/hyperbola/problem_1992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a2aa9c824001882c05318f014c0c1819d76bf42b9ba9e94dc81b69b23fcbebc
+size 258210
diff --git a/results/train/hyperbola/problem_1995.png b/results/train/hyperbola/problem_1995.png
new file mode 100644
index 0000000000000000000000000000000000000000..05498d7c39efbc18a3bfd2bd272384bc289327cc
--- /dev/null
+++ b/results/train/hyperbola/problem_1995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76fc927ac7854e54158e4d27542da22a5f73aee868de8be21a15438ff4146b5c
+size 271027
diff --git a/results/train/hyperbola/problem_1998.png b/results/train/hyperbola/problem_1998.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa9c1840bf092e6b18f29b7527274de02fedab9c
--- /dev/null
+++ b/results/train/hyperbola/problem_1998.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0221b7e2c3a31e2ef8f736e8c9131de4a77f0ff99cfc6658a73c1bdfe5b11078
+size 269855
diff --git a/results/train/hyperbola/problem_2001.png b/results/train/hyperbola/problem_2001.png
new file mode 100644
index 0000000000000000000000000000000000000000..646b6be0f0de12efe4e61213c7c434e89dceab12
--- /dev/null
+++ b/results/train/hyperbola/problem_2001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:441e73754e36f2babca60ddeec101127f0f41b55466b6189562a5a323e4490ef
+size 257706
diff --git a/results/train/hyperbola/problem_2002.png b/results/train/hyperbola/problem_2002.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f2d4cac9dd86bb0058ee71aab610b0d331fbe59
--- /dev/null
+++ b/results/train/hyperbola/problem_2002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05fe7af5d18a70c3254d814dca0be6fce8bca1d1218d79a2695dba003f4f9e6d
+size 256666
diff --git a/results/train/hyperbola/problem_2003.png b/results/train/hyperbola/problem_2003.png
new file mode 100644
index 0000000000000000000000000000000000000000..79a5f25a787af1117ab0d3d6d0076137a7ef73bd
--- /dev/null
+++ b/results/train/hyperbola/problem_2003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:950969211d3e9df861ad4145299369dc019b53293fcef932555f51e1d5e1df73
+size 266336
diff --git a/results/train/hyperbola/problem_2004.png b/results/train/hyperbola/problem_2004.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e4b1e09516c4ecccd2199609e57dfa2a4c46d9d
--- /dev/null
+++ b/results/train/hyperbola/problem_2004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed7ad984ace357b55ae65e0e7e0ece33267466a66f830cc172647b51d42dbb97
+size 270646
diff --git a/results/train/hyperbola/problem_2007.png b/results/train/hyperbola/problem_2007.png
new file mode 100644
index 0000000000000000000000000000000000000000..27be6df9dfd30bf7e805ff5943f0011740b87a98
--- /dev/null
+++ b/results/train/hyperbola/problem_2007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7f3284d5f264879d8d7d16f8325c3a2ca5ab9a3c2ef78c6d545cbc076f369ea
+size 257185
diff --git a/results/train/hyperbola/problem_2011.png b/results/train/hyperbola/problem_2011.png
new file mode 100644
index 0000000000000000000000000000000000000000..c889eea069d88ffcee40d927e94dd05466027790
--- /dev/null
+++ b/results/train/hyperbola/problem_2011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e6e9a4bad5611821670fca9b4dede079ed5e34495d4c34f927ae87fa63ede4d
+size 282295
diff --git a/results/train/hyperbola/problem_2012.png b/results/train/hyperbola/problem_2012.png
new file mode 100644
index 0000000000000000000000000000000000000000..3215b206de6dda804b1b3da63c045b00e536f053
--- /dev/null
+++ b/results/train/hyperbola/problem_2012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac9a7c00c016138384744eda433904a0636b242c623a74daf54a535e1cb9940d
+size 266245
diff --git a/results/train/hyperbola/problem_2019.png b/results/train/hyperbola/problem_2019.png
new file mode 100644
index 0000000000000000000000000000000000000000..bef3bed65548aa3f7a44ea9754195b0ffd33c8fa
--- /dev/null
+++ b/results/train/hyperbola/problem_2019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:623ddb647033cf71eedc439de996c9b1965338cc7be26f9f1222881629a11172
+size 256631
diff --git a/results/train/hyperbola/problem_2025.png b/results/train/hyperbola/problem_2025.png
new file mode 100644
index 0000000000000000000000000000000000000000..32de92492e2f8a37ea5101223a9025b0ac4dd150
--- /dev/null
+++ b/results/train/hyperbola/problem_2025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6c25ea6ba3b28a57e7721c1051745453258eb305632747ecc54de07babd17df
+size 263272
diff --git a/results/train/hyperbola/problem_2032.png b/results/train/hyperbola/problem_2032.png
new file mode 100644
index 0000000000000000000000000000000000000000..42ff1db766befaa4bccd989f23361c4097634170
--- /dev/null
+++ b/results/train/hyperbola/problem_2032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ea7d798fbf65c8755aa4066f2c35b05152615e2b302414dc19671ac3d3bfe27
+size 267663
diff --git a/results/train/hyperbola/problem_2037.png b/results/train/hyperbola/problem_2037.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c731e3a5c02a58afadb51293fb23f6fca669090
--- /dev/null
+++ b/results/train/hyperbola/problem_2037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff2d68e0179c8351fe674853c53379b0847303f5edcde2188cd8083d1e5fa4ed
+size 265969
diff --git a/results/train/hyperbola/problem_2038.png b/results/train/hyperbola/problem_2038.png
new file mode 100644
index 0000000000000000000000000000000000000000..4db30b138a7580d4f65897c2280c69b43404c087
--- /dev/null
+++ b/results/train/hyperbola/problem_2038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14d724bfe5ad30c20577b7300bd38c484dbce2332c6476260e969a156bfb785c
+size 268775
diff --git a/results/train/hyperbola/problem_2041.png b/results/train/hyperbola/problem_2041.png
new file mode 100644
index 0000000000000000000000000000000000000000..b97807641f289080a9e264e1303a389c211bdb10
--- /dev/null
+++ b/results/train/hyperbola/problem_2041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1240786a7a4c1ba907859aceff61bc03a857df08a0766013c2964466fd563697
+size 257833
diff --git a/results/train/hyperbola/problem_2048.png b/results/train/hyperbola/problem_2048.png
new file mode 100644
index 0000000000000000000000000000000000000000..c66c1d28e0e156f86bbc80633ad79bfb7e31e8d1
--- /dev/null
+++ b/results/train/hyperbola/problem_2048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fbd958af5826559c1bdd929cbe275789091c75385913eb96fe3c884f4e2eb32
+size 265317
diff --git a/results/train/hyperbola/problem_2049.png b/results/train/hyperbola/problem_2049.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfd117967f775f3e5a066f6d30f7fab60feea81a
--- /dev/null
+++ b/results/train/hyperbola/problem_2049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15e0f6736255729882302bdbd6cb01d09bdd66b4765b0a715cbca17cd0f675e2
+size 267034
diff --git a/results/train/hyperbola/problem_2050.png b/results/train/hyperbola/problem_2050.png
new file mode 100644
index 0000000000000000000000000000000000000000..e64e68e9151ec488dc12a3f4ecb3921e6e4da281
--- /dev/null
+++ b/results/train/hyperbola/problem_2050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1001be5f7cb3ae959eceea64c0e5df7a40ab3943fb2be9c751bf806e96aaf2a2
+size 256467
diff --git a/results/train/hyperbola/problem_2054.png b/results/train/hyperbola/problem_2054.png
new file mode 100644
index 0000000000000000000000000000000000000000..198ff1214cfdc5537ff318f7d530c41df70ef56e
--- /dev/null
+++ b/results/train/hyperbola/problem_2054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c881538d969f3294ede2034b05de05087dfa8b1c5cc8ad5950eb879e2268eb2
+size 269858
diff --git a/results/train/hyperbola/problem_2055.png b/results/train/hyperbola/problem_2055.png
new file mode 100644
index 0000000000000000000000000000000000000000..1380ff9b0c652493b9e7dc689a70f71ef0d658c0
--- /dev/null
+++ b/results/train/hyperbola/problem_2055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2b155cfbddeb80f7549dbdca16bfeaf1d4d5913bb2be9ec1cd99b162fed793c
+size 209572
diff --git a/results/train/hyperbola/problem_2059.png b/results/train/hyperbola/problem_2059.png
new file mode 100644
index 0000000000000000000000000000000000000000..133054b30631c3940255b665aa8e77a1a540e307
--- /dev/null
+++ b/results/train/hyperbola/problem_2059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ef6560ea96481a9d79a8ef9adfca3b39eea38b12e8cadacb0d05554b1205ae4
+size 262590
diff --git a/results/train/hyperbola/problem_2067.png b/results/train/hyperbola/problem_2067.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c1bed7cb8ccf788993123adc6a54ccba46fdd7a
--- /dev/null
+++ b/results/train/hyperbola/problem_2067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48ec98ee20d902366d097732611a88a92c02675c7df8df3c1e895e1dcc742371
+size 270614
diff --git a/results/train/hyperbola/problem_2068.png b/results/train/hyperbola/problem_2068.png
new file mode 100644
index 0000000000000000000000000000000000000000..8824d8da8cf5b7fb774a930255f4fa895fcda3c5
--- /dev/null
+++ b/results/train/hyperbola/problem_2068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db88faa7422b844bd51b2522591861cf5a9b992febf8f4fe1f831c9a9bac6be9
+size 243877
diff --git a/results/train/hyperbola/problem_2073.png b/results/train/hyperbola/problem_2073.png
new file mode 100644
index 0000000000000000000000000000000000000000..198b97140e130450a13354c242f137c49bcc2db7
--- /dev/null
+++ b/results/train/hyperbola/problem_2073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26b06a25cd2e51403b89beb38d38abe737ebcede25297b8ed186f5004cf4cfc8
+size 264224
diff --git a/results/train/hyperbola/problem_2076.png b/results/train/hyperbola/problem_2076.png
new file mode 100644
index 0000000000000000000000000000000000000000..31bb182f6e38dce3fafae489d64fe0d06c46d47a
--- /dev/null
+++ b/results/train/hyperbola/problem_2076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72596d2b9fee3057c78aaa16b7ad91ed8e8091816e763dc6dcaaf1f682419751
+size 265490
diff --git a/results/train/hyperbola/problem_2078.png b/results/train/hyperbola/problem_2078.png
new file mode 100644
index 0000000000000000000000000000000000000000..536549eaff7f4caa54131652830bee3b9b6234da
--- /dev/null
+++ b/results/train/hyperbola/problem_2078.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c37d647f225fe113ffa82c2ae31e7facbbdeaaa8b45c5569115f948a9970f107
+size 257939
diff --git a/results/train/hyperbola/problem_2085.png b/results/train/hyperbola/problem_2085.png
new file mode 100644
index 0000000000000000000000000000000000000000..49f9d57b9a3a20d7744df6ac24569a05626af86d
--- /dev/null
+++ b/results/train/hyperbola/problem_2085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:131fe722920180eadaf7abfb31697d95e12bea2da1b05c952e0cb2196099c206
+size 257795
diff --git a/results/train/hyperbola/problem_2090.png b/results/train/hyperbola/problem_2090.png
new file mode 100644
index 0000000000000000000000000000000000000000..a891686ea2455e805c961b324529f79659bd9439
--- /dev/null
+++ b/results/train/hyperbola/problem_2090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a22b745e6601acc726c1f8d6204c703f1b0b0bb28b4cd8a6e5d93a43d0cf954
+size 271201
diff --git a/results/train/hyperbola/problem_2094.png b/results/train/hyperbola/problem_2094.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4548a19d47d9352aa55f85b297acdc66ee5d76b
--- /dev/null
+++ b/results/train/hyperbola/problem_2094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a774e761784f09a69286922021895f000157789a5bdb6bd21e372aff2b0fe89
+size 268400
diff --git a/results/train/hyperbola/problem_2099.png b/results/train/hyperbola/problem_2099.png
new file mode 100644
index 0000000000000000000000000000000000000000..0996ad91128d51024c319925a9b1e5d6a75a08ca
--- /dev/null
+++ b/results/train/hyperbola/problem_2099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13a153614691ca1969a46b298ffc4cd83dd9a13e53d0f51eed7befde9607ee49
+size 253781
diff --git a/results/train/hyperbola/problem_2108.png b/results/train/hyperbola/problem_2108.png
new file mode 100644
index 0000000000000000000000000000000000000000..254f3f86fd2f2b8ff6ecdb48c86b01b071a723e3
--- /dev/null
+++ b/results/train/hyperbola/problem_2108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2bb161d13f1130b4bcdbab5c1d90830cdba01c1e540aefcf3cf8a497da984cc
+size 259127
diff --git a/results/train/hyperbola/problem_2111.png b/results/train/hyperbola/problem_2111.png
new file mode 100644
index 0000000000000000000000000000000000000000..e94ca42ba24aaaf7167d539aa123763c698c2483
--- /dev/null
+++ b/results/train/hyperbola/problem_2111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8184ad40319b036169266e09f5c9f7f6df34a9206c8e18217ea31fb4f0bf3d38
+size 255360
diff --git a/results/train/hyperbola/problem_2116.png b/results/train/hyperbola/problem_2116.png
new file mode 100644
index 0000000000000000000000000000000000000000..10b1b15c1ea104ea8627a41acda67265e21183b9
--- /dev/null
+++ b/results/train/hyperbola/problem_2116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adc36bfd613d4c420bec655730b4fac9533d9500b1d2725ffba6c3aacc6288a1
+size 259513
diff --git a/results/train/hyperbola/problem_2117.png b/results/train/hyperbola/problem_2117.png
new file mode 100644
index 0000000000000000000000000000000000000000..35dab340f5a687ba93ba27c0cd3d56b0b8a02ec3
--- /dev/null
+++ b/results/train/hyperbola/problem_2117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1745ff60c82b0948fb448328116d5af836d8cdd3ca6ea43b484e05faa4922a4a
+size 240010
diff --git a/results/train/hyperbola/problem_2118.png b/results/train/hyperbola/problem_2118.png
new file mode 100644
index 0000000000000000000000000000000000000000..7599e0e8dc6ab525a0d0d65bdc35feffe922ed77
--- /dev/null
+++ b/results/train/hyperbola/problem_2118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a069136e758a17a4f4bc23846e94cce223d36f5668994eb742a36a5b253f7194
+size 264566
diff --git a/results/train/hyperbola/problem_2128.png b/results/train/hyperbola/problem_2128.png
new file mode 100644
index 0000000000000000000000000000000000000000..22562a0bdd9ca44a6650b820802858b93b127f6f
--- /dev/null
+++ b/results/train/hyperbola/problem_2128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60b43dc21ea9188b3d71fe009054706540ffc3aa75ef1aa986885616c3ebe0fb
+size 249808
diff --git a/results/train/hyperbola/problem_2135.png b/results/train/hyperbola/problem_2135.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac270e2733ab752aa688962ab1420d17e6e122b7
--- /dev/null
+++ b/results/train/hyperbola/problem_2135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e4afc72a6a9a71a398555d62a5c24d8f0cdc7fbe74608cf34b5b9f60a5f23d9
+size 270895
diff --git a/results/train/hyperbola/problem_2136.png b/results/train/hyperbola/problem_2136.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc51df447139bfe35b0aa4dc73a680003661c054
--- /dev/null
+++ b/results/train/hyperbola/problem_2136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c86654febf48f723558cab79f05825a5da08bf4b1ca52156bac14284f8c5b9ab
+size 283713
diff --git a/results/train/hyperbola/problem_2140.png b/results/train/hyperbola/problem_2140.png
new file mode 100644
index 0000000000000000000000000000000000000000..83deb389a4309bc0b454d1a416a4e6c8af3aba0a
--- /dev/null
+++ b/results/train/hyperbola/problem_2140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b35afa27768e423821faca4dba77b45e0ab7add7d1d2a7927de4e3b30d76b6ed
+size 268735
diff --git a/results/train/hyperbola/problem_2143.png b/results/train/hyperbola/problem_2143.png
new file mode 100644
index 0000000000000000000000000000000000000000..14b1f4743d3b6adf2f9fba87e80a1aa8c5ff6df7
--- /dev/null
+++ b/results/train/hyperbola/problem_2143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b248a1e25048be59338cb4326bb371f5cd7e7c5cd602c6f8e4c951e6de15d84
+size 243670
diff --git a/results/train/hyperbola/problem_2145.png b/results/train/hyperbola/problem_2145.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bb203eedfa07c69c2fbcedc735134fa160c75f0
--- /dev/null
+++ b/results/train/hyperbola/problem_2145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:526770b66a56ff1a4d191bff77380a23359101b0ab15c214f529956f1fc01aad
+size 258903
diff --git a/results/train/hyperbola/problem_2146.png b/results/train/hyperbola/problem_2146.png
new file mode 100644
index 0000000000000000000000000000000000000000..8db941889503dcd4f6b09754dfc36b520e93ffaf
--- /dev/null
+++ b/results/train/hyperbola/problem_2146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f9ca8cd9ed9b8699d0777b7eba39c17f82ce197cafa77adda275d253fdc18e0
+size 273503
diff --git a/results/train/hyperbola/problem_2155.png b/results/train/hyperbola/problem_2155.png
new file mode 100644
index 0000000000000000000000000000000000000000..8daf629eaaffb9eb18ad2611c6b1d13ce4667e35
--- /dev/null
+++ b/results/train/hyperbola/problem_2155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80fb0a230b942fdc4f87a863fb367b37885e337a1d9c6acd6b9aef38e867d285
+size 261926
diff --git a/results/train/hyperbola/problem_2160.png b/results/train/hyperbola/problem_2160.png
new file mode 100644
index 0000000000000000000000000000000000000000..658d280b3d714325e3efa28bc8c3fabd7ba92ac5
--- /dev/null
+++ b/results/train/hyperbola/problem_2160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4729c88dfba94705b01b9bfc2bd2e165677109729ddf72bd07d5c902389f7be2
+size 277834
diff --git a/results/train/hyperbola/problem_2161.png b/results/train/hyperbola/problem_2161.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e229f6e8b176f0fb538c9fbd3d9139483ae4596
--- /dev/null
+++ b/results/train/hyperbola/problem_2161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcd467e62a7a3f9718256de2ba59e61aec633bc062bf68806edf09f191f4d18a
+size 281426
diff --git a/results/train/hyperbola/problem_2167.png b/results/train/hyperbola/problem_2167.png
new file mode 100644
index 0000000000000000000000000000000000000000..8de2588f1389b34bb08fb9b57e0b8d22d6119358
--- /dev/null
+++ b/results/train/hyperbola/problem_2167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afc7efb8becf8f866205120f0947d52fe007b8f09607b3226cc6ffc07cbfd5a5
+size 253889
diff --git a/results/train/hyperbola/problem_2168.png b/results/train/hyperbola/problem_2168.png
new file mode 100644
index 0000000000000000000000000000000000000000..c62a4001921e0ed3c1869fcbdb1f14a1984b8e84
--- /dev/null
+++ b/results/train/hyperbola/problem_2168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ccb218345115a38723a465e4ac333afe7b12d47ae99be016e729f8a188ee2da
+size 264764
diff --git a/results/train/hyperbola/problem_2170.png b/results/train/hyperbola/problem_2170.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c7be204506e50cf2e2f739aaf675bca5ed61d45
--- /dev/null
+++ b/results/train/hyperbola/problem_2170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a07254dcac8184625c739762a0e0ebc5e787241d728adbff1b0a29784df18f2
+size 274841
diff --git a/results/train/hyperbola/problem_2173.png b/results/train/hyperbola/problem_2173.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5872ef5bcb210107df4cc4aae914d668de23804
--- /dev/null
+++ b/results/train/hyperbola/problem_2173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2910440c2695f903a86f0c805e9f8bc5d85eb0018f138427fe9ae312ff5eda1
+size 275798
diff --git a/results/train/hyperbola/problem_2175.png b/results/train/hyperbola/problem_2175.png
new file mode 100644
index 0000000000000000000000000000000000000000..31e3079fb052d453cf2078920dd0b3368a44c261
--- /dev/null
+++ b/results/train/hyperbola/problem_2175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d59f88bba8cb9623cf758b84fd4f98bb61759bc09aaf9d7e2e42996487da5400
+size 274219
diff --git a/results/train/hyperbola/problem_2178.png b/results/train/hyperbola/problem_2178.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe0d57be405bf728b1a9efdb55f50887ed3afefa
--- /dev/null
+++ b/results/train/hyperbola/problem_2178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e714f428d7ea6ed0ef51ab9f27088d848fd97d75c7f829f6156a2eb27a5cc11
+size 257920
diff --git a/results/train/hyperbola/problem_2180.png b/results/train/hyperbola/problem_2180.png
new file mode 100644
index 0000000000000000000000000000000000000000..db1f8b8a027d3658e69903c7e2a350f307621883
--- /dev/null
+++ b/results/train/hyperbola/problem_2180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e08280deec1fa12357e2ecb0e06ea0c36c41d586cdee61bd92c556a3e942ee4d
+size 291048
diff --git a/results/train/hyperbola/problem_2181.png b/results/train/hyperbola/problem_2181.png
new file mode 100644
index 0000000000000000000000000000000000000000..e968e32f1735c516e3f3c2ea5c204b9a109e4062
--- /dev/null
+++ b/results/train/hyperbola/problem_2181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6033deb969bacf039c4c050127431e53b16bcac2688768ab646dbe39b360f6e
+size 262905
diff --git a/results/train/hyperbola/problem_2183.png b/results/train/hyperbola/problem_2183.png
new file mode 100644
index 0000000000000000000000000000000000000000..f39d8f1e30890abd174954bd34cc4a8edc8fdd2b
--- /dev/null
+++ b/results/train/hyperbola/problem_2183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d36688fcac41e7abb4f85a8aace68fd0d243c7af3bba1d7fb1cd012fa459477
+size 283636
diff --git a/results/train/hyperbola/problem_2186.png b/results/train/hyperbola/problem_2186.png
new file mode 100644
index 0000000000000000000000000000000000000000..21a95dd4f110f094f33166527afd6475e559d234
--- /dev/null
+++ b/results/train/hyperbola/problem_2186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74ecf0e0a98abf40d3e10ee0800e4e273833fc192134c0ff454274733d2203fd
+size 277496
diff --git a/results/train/hyperbola/problem_2187.png b/results/train/hyperbola/problem_2187.png
new file mode 100644
index 0000000000000000000000000000000000000000..ccc9c18fdbd4b80a5a75a75f48459306471e974f
--- /dev/null
+++ b/results/train/hyperbola/problem_2187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4e152ffa4fbd9a746662028329d0776202e8458ace1b2c9e296c980b004ee95
+size 263695
diff --git a/results/train/hyperbola/problem_2188.png b/results/train/hyperbola/problem_2188.png
new file mode 100644
index 0000000000000000000000000000000000000000..01d613524067fc0a14197459b89072a997c6d54c
--- /dev/null
+++ b/results/train/hyperbola/problem_2188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75a890ab6deef4f094d8ac07462792c9dafd90f8717e33a674ffee821e5fdd31
+size 267011
diff --git a/results/train/hyperbola/problem_2195.png b/results/train/hyperbola/problem_2195.png
new file mode 100644
index 0000000000000000000000000000000000000000..60403ccb68f74f74346f19ce236e013ed940ffc3
--- /dev/null
+++ b/results/train/hyperbola/problem_2195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31a2673dba784b29424268322b0f4b0f43b71803a583c73ee3da6bea6c596273
+size 267974
diff --git a/results/train/hyperbola/problem_2197.png b/results/train/hyperbola/problem_2197.png
new file mode 100644
index 0000000000000000000000000000000000000000..16ea909ea4bba073dc55e9227ff5fe4dbb6cf821
--- /dev/null
+++ b/results/train/hyperbola/problem_2197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa78833c6505414cdfa368ea2f4e76943fa8bd5bff4f9591ec9d91f982dc0cdb
+size 267401
diff --git a/results/train/hyperbola/problem_2199.png b/results/train/hyperbola/problem_2199.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca3f1fa300fb0f504d4100ce0c965196726f3eb9
--- /dev/null
+++ b/results/train/hyperbola/problem_2199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:147cd667c228ed624df1e1f34598f5262b5dc4ef76a050c34e3633338de68c9f
+size 234867
diff --git a/results/train/hyperbola/problem_2200.png b/results/train/hyperbola/problem_2200.png
new file mode 100644
index 0000000000000000000000000000000000000000..66d7dac82d95727c657a24699a2f39134dea59a3
--- /dev/null
+++ b/results/train/hyperbola/problem_2200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42bda2c32c58ca39701a98004453fac080e78c9c2b0298f4484b535784cfb9d0
+size 260795
diff --git a/results/train/hyperbola/problem_2201.png b/results/train/hyperbola/problem_2201.png
new file mode 100644
index 0000000000000000000000000000000000000000..689305beeb2022842b90321147ccee7487f7920f
--- /dev/null
+++ b/results/train/hyperbola/problem_2201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:692d66406157e2dbcb57c00c13d041c594665940f3cd90814f93675cc6f5fbed
+size 262906
diff --git a/results/train/hyperbola/problem_2205.png b/results/train/hyperbola/problem_2205.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3a90fce29f62b9189e914539bba79875bb48f42
--- /dev/null
+++ b/results/train/hyperbola/problem_2205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ccd0bcb9d989476389c121f194626bebc8fb04f595ec7f6569c0ba2401f30a
+size 279733
diff --git a/results/train/hyperbola/problem_2209.png b/results/train/hyperbola/problem_2209.png
new file mode 100644
index 0000000000000000000000000000000000000000..19212702f5fd0df4c05a70fadcc0a69d17828609
--- /dev/null
+++ b/results/train/hyperbola/problem_2209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afea4a903c783b88ae4f5cc3446f4bf12cac698544d6e54af1ee1d736364fce9
+size 269992
diff --git a/results/train/hyperbola/problem_2222.png b/results/train/hyperbola/problem_2222.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ece52d249ae860cd2e4afd78f5f1f9cffaaf534
--- /dev/null
+++ b/results/train/hyperbola/problem_2222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:840ba92f1d54712451e7d87e4b293f919db2c5daa742d0458c50260015cf82ec
+size 252001
diff --git a/results/train/hyperbola/problem_2225.png b/results/train/hyperbola/problem_2225.png
new file mode 100644
index 0000000000000000000000000000000000000000..85b61345804d676a4a802b4c8c96434dd85b6444
--- /dev/null
+++ b/results/train/hyperbola/problem_2225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b93c0ef7787a0d4c44a3eaf105185a537a6ed189d20f4f9ad4d1981f6db23c2a
+size 259930
diff --git a/results/train/hyperbola/problem_2227.png b/results/train/hyperbola/problem_2227.png
new file mode 100644
index 0000000000000000000000000000000000000000..7508fdb34e87a7d2dc170e94ba33735e0d2d27d3
--- /dev/null
+++ b/results/train/hyperbola/problem_2227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77061ce737cd321f354f2c21153a5618196599f9153eced9e8756adcbee6e58e
+size 247654
diff --git a/results/train/hyperbola/problem_2232.png b/results/train/hyperbola/problem_2232.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bf072751e8ee7b9cf3c03ee58663e96939d9d63
--- /dev/null
+++ b/results/train/hyperbola/problem_2232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fbffd090be21fae14dac369d68629fe6d38194f57822b902fca829758a134e1
+size 256905
diff --git a/results/train/hyperbola/problem_2233.png b/results/train/hyperbola/problem_2233.png
new file mode 100644
index 0000000000000000000000000000000000000000..46821a5c148266de15d55f81cc436e8b330b973b
--- /dev/null
+++ b/results/train/hyperbola/problem_2233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:985c710321da0ee8dac9124427952af001c8cd99759e53d88fa3e01fa0eabe63
+size 228713
diff --git a/results/train/hyperbola/problem_2240.png b/results/train/hyperbola/problem_2240.png
new file mode 100644
index 0000000000000000000000000000000000000000..29156f342bbd68625516ff0a75de0f552693ca89
--- /dev/null
+++ b/results/train/hyperbola/problem_2240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71d17ad8292ff949c20d21f0fd8949d7432a518b98e3ae9aacb9f911be4f4477
+size 269247
diff --git a/results/train/hyperbola/problem_2241.png b/results/train/hyperbola/problem_2241.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c654938f43d5b42332c0cca98b4d7d7764daada
--- /dev/null
+++ b/results/train/hyperbola/problem_2241.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a49026e171068b85ceafabebb3ff2d4bb8c95d16830bc910e9daac23b3a9dec
+size 270105
diff --git a/results/train/hyperbola/problem_2248.png b/results/train/hyperbola/problem_2248.png
new file mode 100644
index 0000000000000000000000000000000000000000..6000ad75c716c99c200ce14804a5c0edc65484b5
--- /dev/null
+++ b/results/train/hyperbola/problem_2248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a8786e97186ba8d258dd1b17c77907d899c69790bf4818cadd47167b22838c6
+size 250260
diff --git a/results/train/hyperbola/problem_2258.png b/results/train/hyperbola/problem_2258.png
new file mode 100644
index 0000000000000000000000000000000000000000..82e45acf4a02df5aaca916f8a573ba1543fc5ed9
--- /dev/null
+++ b/results/train/hyperbola/problem_2258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6999da1ab7e8468f9b64c4c6a8cf2620dbc2a8eb4491a3d54b3082e4cd022203
+size 264643
diff --git a/results/train/hyperbola/problem_2263.png b/results/train/hyperbola/problem_2263.png
new file mode 100644
index 0000000000000000000000000000000000000000..caa089a1ebfef32e422f35e452a119dd6d119b7e
--- /dev/null
+++ b/results/train/hyperbola/problem_2263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8516ced3b06e51bdbeba04136b26108b77a8ef763146b1ee1fc81555acf74de
+size 299926
diff --git a/results/train/hyperbola/problem_2264.png b/results/train/hyperbola/problem_2264.png
new file mode 100644
index 0000000000000000000000000000000000000000..8657567dee323fd02b38d7c63a19ce1cd134284f
--- /dev/null
+++ b/results/train/hyperbola/problem_2264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ce22062f3c4d7dad9898814872fcf3eba338531bea00884749704ff8001e1ca
+size 256583
diff --git a/results/train/hyperbola/problem_2275.png b/results/train/hyperbola/problem_2275.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb8fc41ad9c81f1ffa0c67faa660fa7d90279262
--- /dev/null
+++ b/results/train/hyperbola/problem_2275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab43b1ffdf55560c50518889ea980a2c216033b3acecec835d9abbae43c4d8e7
+size 268457
diff --git a/results/train/hyperbola/problem_2276.png b/results/train/hyperbola/problem_2276.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab4e12bccee0cf96e0f1bd5d813b5a72993e2aa6
--- /dev/null
+++ b/results/train/hyperbola/problem_2276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e38f49d6fe71190a728c87b3d5506011321bc1fb10deb385b69c4a6258c797e
+size 274593
diff --git a/results/train/hyperbola/problem_2277.png b/results/train/hyperbola/problem_2277.png
new file mode 100644
index 0000000000000000000000000000000000000000..24f4e48e2acd9ef4a92472790e2d02c8c25e8898
--- /dev/null
+++ b/results/train/hyperbola/problem_2277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f94d1109411c7430a37b5080c3eee4b10fded0c45b4efe2915eeecb0de8a449
+size 246310
diff --git a/results/train/hyperbola/problem_2281.png b/results/train/hyperbola/problem_2281.png
new file mode 100644
index 0000000000000000000000000000000000000000..634386061910723974c45b4985841892d43e395b
--- /dev/null
+++ b/results/train/hyperbola/problem_2281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:581cab3f725fadc0909d3d69be6a006032928fb5c8e9fd81c14719c1a08e90c7
+size 263362
diff --git a/results/train/hyperbola/problem_2286.png b/results/train/hyperbola/problem_2286.png
new file mode 100644
index 0000000000000000000000000000000000000000..01230a44c714b0639f89026649195e370b0307b8
--- /dev/null
+++ b/results/train/hyperbola/problem_2286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62e3bf67d4832b6b85de9cc03fca375e14d191683127dc5274ada09f34185c3d
+size 261564
diff --git a/results/train/hyperbola/problem_2290.png b/results/train/hyperbola/problem_2290.png
new file mode 100644
index 0000000000000000000000000000000000000000..714ab934d1a2bb4e6750ae1997dd27a600452e01
--- /dev/null
+++ b/results/train/hyperbola/problem_2290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c12e3189ee20b2f0a58f8f0badc814e89e89c439db926ff33221e5f5f0f2d41
+size 268953
diff --git a/results/train/hyperbola/problem_2295.png b/results/train/hyperbola/problem_2295.png
new file mode 100644
index 0000000000000000000000000000000000000000..05d3429cefa1368da8e4ee5bc32d2a69b253d272
--- /dev/null
+++ b/results/train/hyperbola/problem_2295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b354c97652f6179b11bbba8308c0c33ba48ec82fe7cc3a929298483a839ae07
+size 283806
diff --git a/results/train/hyperbola/problem_2300.png b/results/train/hyperbola/problem_2300.png
new file mode 100644
index 0000000000000000000000000000000000000000..380186b37a15833a940c92baf8f46c7344934338
--- /dev/null
+++ b/results/train/hyperbola/problem_2300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdba493e2939150f59b79bad5106b9c70e493c44c5900e275bda1889c648949d
+size 274350
diff --git a/results/train/hyperbola/problem_2304.png b/results/train/hyperbola/problem_2304.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bf3accfd5591be52dc19b61028bf919890be74f
--- /dev/null
+++ b/results/train/hyperbola/problem_2304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5801c13185748cd420b040b2c702d0e837c57a2ead9664a457bbea1f312fcb31
+size 260130
diff --git a/results/train/hyperbola/problem_2309.png b/results/train/hyperbola/problem_2309.png
new file mode 100644
index 0000000000000000000000000000000000000000..7be8aeec159b41124af00eb6d416dec31274fd99
--- /dev/null
+++ b/results/train/hyperbola/problem_2309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ab4cf623240518f3caac28de753c7e0599237ebbfa6996d4fd04845d344e171
+size 268191
diff --git a/results/train/hyperbola/problem_2319.png b/results/train/hyperbola/problem_2319.png
new file mode 100644
index 0000000000000000000000000000000000000000..8415f67bba80b5b02e27418f0a759e78e79917fe
--- /dev/null
+++ b/results/train/hyperbola/problem_2319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7129080150dc6c303dc0980fc74cdb7668d4a27f4170167494ba73e78b3174f
+size 261647
diff --git a/results/train/hyperbola/problem_2321.png b/results/train/hyperbola/problem_2321.png
new file mode 100644
index 0000000000000000000000000000000000000000..b04a1fc231a342a880928014bf07db196a6991ef
--- /dev/null
+++ b/results/train/hyperbola/problem_2321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10e4993e8206ccfec2fc0ce58bc9ca3fd041411dde7a617d3c2cc1f6487020c9
+size 287858
diff --git a/results/train/hyperbola/problem_2329.png b/results/train/hyperbola/problem_2329.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf4901a469dd62462cdbaf7c8e075bdab338d8e3
--- /dev/null
+++ b/results/train/hyperbola/problem_2329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0d6964bc9074289064774d56d523da003f41d5d91b426d7548ab7d8e3984c34
+size 264653
diff --git a/results/train/hyperbola/problem_2330.png b/results/train/hyperbola/problem_2330.png
new file mode 100644
index 0000000000000000000000000000000000000000..54934f94a4438d2ad8bdb0baf302f3f4a709df98
--- /dev/null
+++ b/results/train/hyperbola/problem_2330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c1696e77e2f3011acf09198882f6687712e9529da1a7a07d27e022e4d705b5e
+size 283532
diff --git a/results/train/hyperbola/problem_2339.png b/results/train/hyperbola/problem_2339.png
new file mode 100644
index 0000000000000000000000000000000000000000..f59b12d13c0cfb26eee81a50dee4c367b2cfe18c
--- /dev/null
+++ b/results/train/hyperbola/problem_2339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9befde3d51c52689e6a0e2f0239622b8d4462306747beb62dec6ee752694fb25
+size 239682
diff --git a/results/train/hyperbola/problem_2340.png b/results/train/hyperbola/problem_2340.png
new file mode 100644
index 0000000000000000000000000000000000000000..122088a61c9fe9d83671c2e0710939b309c4e3c9
--- /dev/null
+++ b/results/train/hyperbola/problem_2340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b455e32690f8b6134303383aedd1672eed99af43e865090f73b5c3577804194
+size 271129
diff --git a/results/train/hyperbola/problem_2345.png b/results/train/hyperbola/problem_2345.png
new file mode 100644
index 0000000000000000000000000000000000000000..7253aa7c44240da8870e913c188f1d2cf2340905
--- /dev/null
+++ b/results/train/hyperbola/problem_2345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1aeac089afcd8ddf14a08ff6d43e27376da7fdf4b4a996ff25f30d758f43e0b
+size 270919
diff --git a/results/train/hyperbola/problem_2348.png b/results/train/hyperbola/problem_2348.png
new file mode 100644
index 0000000000000000000000000000000000000000..0db1afec1a1fee60678506c442f685e7b2ea0a17
--- /dev/null
+++ b/results/train/hyperbola/problem_2348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c90751b9d35608e2f9677c5bc2d960930918774fd5c1a96efb6bcb445720e7a9
+size 276641
diff --git a/results/train/hyperbola/problem_2354.png b/results/train/hyperbola/problem_2354.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c117cf4b757690f0e6005d515099ff7f083cda4
--- /dev/null
+++ b/results/train/hyperbola/problem_2354.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cfbf8f926357728f1254864ff56a292eaca326b44b2d4f8416964abdf4a36bb
+size 268036
diff --git a/results/train/hyperbola/problem_2356.png b/results/train/hyperbola/problem_2356.png
new file mode 100644
index 0000000000000000000000000000000000000000..83dc686e10b0dbc588e6fdb3b57c0336ba7416f2
--- /dev/null
+++ b/results/train/hyperbola/problem_2356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecb1207aea9887f837ba7988a6fc007a5ae3cc942aff559323865f7d0862eca2
+size 276877
diff --git a/results/train/hyperbola/problem_2357.png b/results/train/hyperbola/problem_2357.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d11fe5f9060bdd71a9225ca4a1499bc10b915c7
--- /dev/null
+++ b/results/train/hyperbola/problem_2357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5c6438544ddbbd58734395e26ddd372a6a4460fc321ab3a57c4cbd29dd1f129
+size 256568
diff --git a/results/train/hyperbola/problem_2362.png b/results/train/hyperbola/problem_2362.png
new file mode 100644
index 0000000000000000000000000000000000000000..1850696925725f9e41cbd3bb729cb2bf879be5b8
--- /dev/null
+++ b/results/train/hyperbola/problem_2362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b41d20f713498e0d040b47b1d84f1309acfaf5741f530525d73e61f19c0c845f
+size 251420
diff --git a/results/train/hyperbola/problem_2366.png b/results/train/hyperbola/problem_2366.png
new file mode 100644
index 0000000000000000000000000000000000000000..f21342a20e801ce9bc19381dd95ea0dca803df92
--- /dev/null
+++ b/results/train/hyperbola/problem_2366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed81af5a3fe21081801955625e5dada6c179998ed0b7639450ca54f81567910c
+size 267640
diff --git a/results/train/hyperbola/problem_2368.png b/results/train/hyperbola/problem_2368.png
new file mode 100644
index 0000000000000000000000000000000000000000..9709a994b43d436bf5677d689e738a2a0516a401
--- /dev/null
+++ b/results/train/hyperbola/problem_2368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebf26590672b7678421ecc363f9e17da4da73c15e1a8d472c4c93a610e3c2c0f
+size 257308
diff --git a/results/train/hyperbola/problem_2372.png b/results/train/hyperbola/problem_2372.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d0689e212a5ac7927c2b1977c209a15ef710fdc
--- /dev/null
+++ b/results/train/hyperbola/problem_2372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d51d436b252853c2cd6858c138ce849406ecae207fb8e5739877e20935b260d
+size 267455
diff --git a/results/train/hyperbola/problem_2374.png b/results/train/hyperbola/problem_2374.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7eae6c5dd96605c6e981150b4bbd308ed82e95b
--- /dev/null
+++ b/results/train/hyperbola/problem_2374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4661e28f3fa5486450cf78f818529e99f2d7a1055da2b0e7d9dc53d3415ce0b7
+size 258950
diff --git a/results/train/hyperbola/problem_2375.png b/results/train/hyperbola/problem_2375.png
new file mode 100644
index 0000000000000000000000000000000000000000..b09ad1ecb160f6e1194f7fadb8b5af9af7c685e6
--- /dev/null
+++ b/results/train/hyperbola/problem_2375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:335e1758f151c91f45e0427e2bb1d6cab8cf71b6708fdac561081c0ff008cee9
+size 258713
diff --git a/results/train/hyperbola/problem_2378.png b/results/train/hyperbola/problem_2378.png
new file mode 100644
index 0000000000000000000000000000000000000000..169a8c7dd4dbcd28d8c603d4051ef7071c94a8ba
--- /dev/null
+++ b/results/train/hyperbola/problem_2378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85c0534763cce9ff9029df4550f860529563798833817677ff281b1a11c50a15
+size 266292
diff --git a/results/train/hyperbola/problem_2382.png b/results/train/hyperbola/problem_2382.png
new file mode 100644
index 0000000000000000000000000000000000000000..b004d4a6915ae08ba2d21050138d5793bf69966e
--- /dev/null
+++ b/results/train/hyperbola/problem_2382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6003cbfcd655954f2ecea1d133f21aec8202bf1b30e8f753c22d3ace0326e20a
+size 288975
diff --git a/results/train/hyperbola/problem_2395.png b/results/train/hyperbola/problem_2395.png
new file mode 100644
index 0000000000000000000000000000000000000000..646b6be0f0de12efe4e61213c7c434e89dceab12
--- /dev/null
+++ b/results/train/hyperbola/problem_2395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:441e73754e36f2babca60ddeec101127f0f41b55466b6189562a5a323e4490ef
+size 257706
diff --git a/results/train/hyperbola/problem_2416.png b/results/train/hyperbola/problem_2416.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc9c6d0531ff6d0fc7d26905f8519aa92606d49c
--- /dev/null
+++ b/results/train/hyperbola/problem_2416.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c808a246ff5699eb46deedf627e6b7ed4db9348939be13ec4b2ac6d9361f872
+size 244983
diff --git a/results/train/hyperbola/problem_2418.png b/results/train/hyperbola/problem_2418.png
new file mode 100644
index 0000000000000000000000000000000000000000..b90f2026fa5f4f68acc2632650f3ba4744330cdb
--- /dev/null
+++ b/results/train/hyperbola/problem_2418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73bd4d00cd793aa39ff4fefb39064f29aa93a78b9071bceee885f6f51d992c20
+size 276349
diff --git a/results/train/hyperbola/problem_2419.png b/results/train/hyperbola/problem_2419.png
new file mode 100644
index 0000000000000000000000000000000000000000..251fec09e06082cd4fd66c60d7d7caa3ce009cbc
--- /dev/null
+++ b/results/train/hyperbola/problem_2419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65225a84f56249675f8c61522ccd56b331dc06fd5060c2b40bf11d007a90c439
+size 275054
diff --git a/results/train/hyperbola/problem_2420.png b/results/train/hyperbola/problem_2420.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8077d524bd016b67352d96150c9f2ab5e5128d7
--- /dev/null
+++ b/results/train/hyperbola/problem_2420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:885eb1dbe38acbadad6d5231e0575cb354da91d75859f401f18725eebd96cb9a
+size 269819
diff --git a/results/train/hyperbola/problem_2422.png b/results/train/hyperbola/problem_2422.png
new file mode 100644
index 0000000000000000000000000000000000000000..31d79ca4c0c00c63a226c9ec21931ee4ca591416
--- /dev/null
+++ b/results/train/hyperbola/problem_2422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efce4526e73f2bee9eb696fb4cccfe02a445638411e3df7e345026dc41089c19
+size 277458
diff --git a/results/train/hyperbola/problem_2426.png b/results/train/hyperbola/problem_2426.png
new file mode 100644
index 0000000000000000000000000000000000000000..d33548ebc765adf782a1f0d1458e712215f45bba
--- /dev/null
+++ b/results/train/hyperbola/problem_2426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23b817888ee053f9eaba7877207594172b449cfac19cc38ae3b60e525c683aed
+size 259278
diff --git a/results/train/hyperbola/problem_2427.png b/results/train/hyperbola/problem_2427.png
new file mode 100644
index 0000000000000000000000000000000000000000..e005bc6b477e4d2489c8289b0482e997c203b0fc
--- /dev/null
+++ b/results/train/hyperbola/problem_2427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a44361cc6b05b3bf5e9be8e60167563a993e4b5b1ca490f7e8c838c621ab1f6b
+size 265026
diff --git a/results/train/hyperbola/problem_2432.png b/results/train/hyperbola/problem_2432.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec1e4417cb9fcd97c29a262b6f0d62a52f44b17a
--- /dev/null
+++ b/results/train/hyperbola/problem_2432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c62ca4701fd8e5003315084c9e8e3f2522c7bd12244ffc489fd9913191b6ab65
+size 275069
diff --git a/results/train/hyperbola/problem_2433.png b/results/train/hyperbola/problem_2433.png
new file mode 100644
index 0000000000000000000000000000000000000000..91802ad36b315ab45b4d17e4de071aa47915c944
--- /dev/null
+++ b/results/train/hyperbola/problem_2433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c357cdf57a556900f754bf8fbce0d4bd0e856fd620aac5144b4abf7710bfb27
+size 261965
diff --git a/results/train/hyperbola/problem_2434.png b/results/train/hyperbola/problem_2434.png
new file mode 100644
index 0000000000000000000000000000000000000000..f98575f363ededfb84b4a303b5cf8d1868a24f4a
--- /dev/null
+++ b/results/train/hyperbola/problem_2434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5154cc8f2029fd476958e90efd3960d2e0812a4b376540b607ecfa551b2bb1ea
+size 279266
diff --git a/results/train/hyperbola/problem_2441.png b/results/train/hyperbola/problem_2441.png
new file mode 100644
index 0000000000000000000000000000000000000000..613ceb9f6650d5b436a6eadddf2f8f457d09c790
--- /dev/null
+++ b/results/train/hyperbola/problem_2441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e449db35d4f78934309c506d7e0b3ba293f707ceb381a9c9505d7ed26908d15d
+size 252702
diff --git a/results/train/hyperbola/problem_2445.png b/results/train/hyperbola/problem_2445.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf3861d88602d91351d9d773b3dd6d4addadf5a7
--- /dev/null
+++ b/results/train/hyperbola/problem_2445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ea4a263d6e36d6af75e2c3e88553bb3896cf957fa5fbb47d62a3b462ed33308
+size 271116
diff --git a/results/train/hyperbola/problem_2452.png b/results/train/hyperbola/problem_2452.png
new file mode 100644
index 0000000000000000000000000000000000000000..b630b79dc44f6a8b8f97e126ecf57bc7d99907a8
--- /dev/null
+++ b/results/train/hyperbola/problem_2452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62b10696d6babfacb8cfc812e307b6598dc9fa8cf25259f5ac8f55d2605ba850
+size 252560
diff --git a/results/train/hyperbola/problem_2460.png b/results/train/hyperbola/problem_2460.png
new file mode 100644
index 0000000000000000000000000000000000000000..5325554e90461ee7234ace5a3f037d934c35beaa
--- /dev/null
+++ b/results/train/hyperbola/problem_2460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c0bbbb2bf989c84ec41522f35c8eeb59650d3f39bb39ad954b7dc3f92665313
+size 260516
diff --git a/results/train/hyperbola/problem_2464.png b/results/train/hyperbola/problem_2464.png
new file mode 100644
index 0000000000000000000000000000000000000000..55223ae576c2c2060008cc6188ea427994670367
--- /dev/null
+++ b/results/train/hyperbola/problem_2464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b22de257484fb7b83bac0eec5ed552a505e92972ce700e0b3dc6a67c94d8d6d5
+size 239390
diff --git a/results/train/hyperbola/problem_2468.png b/results/train/hyperbola/problem_2468.png
new file mode 100644
index 0000000000000000000000000000000000000000..016ac2cb750a93428878a65864e925c2b2d2a8b2
--- /dev/null
+++ b/results/train/hyperbola/problem_2468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1be384368fe0f9241a8e5bf57b1b29830141cdda2b390ebace6bd566986ecb23
+size 255059
diff --git a/results/train/hyperbola/problem_2469.png b/results/train/hyperbola/problem_2469.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6365b1ac87e126509a9f7a4cf95ef8505840666
--- /dev/null
+++ b/results/train/hyperbola/problem_2469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ff0701b42a0e10629e37cb9d1d40dbe51327a18b91c972ad28189e1c04590a7
+size 225581
diff --git a/results/train/hyperbola/problem_2472.png b/results/train/hyperbola/problem_2472.png
new file mode 100644
index 0000000000000000000000000000000000000000..a899a8de212fd7470fb9b3cfe94dbeb77f880959
--- /dev/null
+++ b/results/train/hyperbola/problem_2472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d1139bec9d9dc87158312145b44a84ba5e713c16d16a201673c6736beb27fdb
+size 276643
diff --git a/results/train/hyperbola/problem_2473.png b/results/train/hyperbola/problem_2473.png
new file mode 100644
index 0000000000000000000000000000000000000000..705699472235c1848bf1c9f4bc07bcdbf3c4579a
--- /dev/null
+++ b/results/train/hyperbola/problem_2473.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:907aa5ae28366daab020cc15fb7892a8af18203c278d98c4538c8e4fbaac76ab
+size 274121
diff --git a/results/train/hyperbola/problem_2476.png b/results/train/hyperbola/problem_2476.png
new file mode 100644
index 0000000000000000000000000000000000000000..929a2ce795f41f90ba4793f55d2f601fd4b05caf
--- /dev/null
+++ b/results/train/hyperbola/problem_2476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4019c7a9266938b06e8d5f2fb8eb605aeb923606670b4d845b6bfc0afbca9812
+size 259131
diff --git a/results/train/hyperbola/problem_2478.png b/results/train/hyperbola/problem_2478.png
new file mode 100644
index 0000000000000000000000000000000000000000..c22e41c1cb8c26baa776c3b4facfa9318203b093
--- /dev/null
+++ b/results/train/hyperbola/problem_2478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd4d523b6e67227a2426bfb69dccd757f7a24e6888ed4ba5c4dd109ceeb27b1a
+size 241004
diff --git a/results/train/hyperbola/problem_2485.png b/results/train/hyperbola/problem_2485.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fdd98f829bf2cd0bd369ecea47faa0cbad16008
--- /dev/null
+++ b/results/train/hyperbola/problem_2485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9245f483aafe66209b8fb29cca966966ee4390c739335b8fe9d4f0fa467f1bd1
+size 248214
diff --git a/results/train/hyperbola/problem_2494.png b/results/train/hyperbola/problem_2494.png
new file mode 100644
index 0000000000000000000000000000000000000000..e60548dbd8d3bc9a4d027bd5f9c02465cac1b586
--- /dev/null
+++ b/results/train/hyperbola/problem_2494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce2ca123a8a05bf2a4ee1ce3734f17918428c7166a349535ceae8a8fc18c3d2f
+size 256654
diff --git a/results/train/hyperbola/problem_2496.png b/results/train/hyperbola/problem_2496.png
new file mode 100644
index 0000000000000000000000000000000000000000..e60769ae4bc73d46b18116c45a6c436ff71505ac
--- /dev/null
+++ b/results/train/hyperbola/problem_2496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cc58546a1841646caa37c7bc2ca884fa010c192678ff082ab64d5d85e75946d
+size 266022
diff --git a/results/train/hyperbola/problem_2497.png b/results/train/hyperbola/problem_2497.png
new file mode 100644
index 0000000000000000000000000000000000000000..1acefe7e78ece4330d92968bb0e4bbc2018299bd
--- /dev/null
+++ b/results/train/hyperbola/problem_2497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11c356b9ae0a13e3fee75490f9016ae1037174be84c500be9065d24632caeb63
+size 268933
diff --git a/results/train/hyperbola/problem_2500.png b/results/train/hyperbola/problem_2500.png
new file mode 100644
index 0000000000000000000000000000000000000000..29b7549c9b2392575686350937bbf4a6846af51d
--- /dev/null
+++ b/results/train/hyperbola/problem_2500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05aacf10103bb9423e18949bedfa01a41a173cf4a9eac2a22cae8ecaeed6248b
+size 259419
diff --git a/results/train/hyperbola/problem_2501.png b/results/train/hyperbola/problem_2501.png
new file mode 100644
index 0000000000000000000000000000000000000000..f113593700a4f003384d5b3277f8c608260d7775
--- /dev/null
+++ b/results/train/hyperbola/problem_2501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21be81e649e141f013269c25d1dedbb961852f772e152a66b3cdcb711a5de862
+size 274738
diff --git a/results/train/hyperbola/problem_2503.png b/results/train/hyperbola/problem_2503.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d06e3ec0842b2dbd10f5935f633ff93cd5ae01b
--- /dev/null
+++ b/results/train/hyperbola/problem_2503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3448475015916ac8bf418ccd8dbda8f16a6af004eb7933b81a68b0de862f5273
+size 264329
diff --git a/results/train/hyperbola/problem_2505.png b/results/train/hyperbola/problem_2505.png
new file mode 100644
index 0000000000000000000000000000000000000000..781301d29c2870496e0cf407ba2ad3211efcfdaf
--- /dev/null
+++ b/results/train/hyperbola/problem_2505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43906c1775742890d00b1efca078785a37bd6ff986f2be48fee71a120b260d1a
+size 259233
diff --git a/results/train/hyperbola/problem_2509.png b/results/train/hyperbola/problem_2509.png
new file mode 100644
index 0000000000000000000000000000000000000000..d86f87f04ecbd970d83a7a96dc554b68afb8df44
--- /dev/null
+++ b/results/train/hyperbola/problem_2509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cdc76b7867b687d5daa95048c0598c1a10ecf23a167f11daab985223a6f1fcc
+size 251462
diff --git a/results/train/hyperbola/problem_2511.png b/results/train/hyperbola/problem_2511.png
new file mode 100644
index 0000000000000000000000000000000000000000..df2b03aa7eb406aab75a98c8858fa6f9fd89782c
--- /dev/null
+++ b/results/train/hyperbola/problem_2511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b68875c9b5acc2deed141f9de8986ab57fb418cc048ae4ed461743bce0187b98
+size 275225
diff --git a/results/train/hyperbola/problem_2519.png b/results/train/hyperbola/problem_2519.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c5445e322ee6b62fbedb4ef4d5c605914990c8a
--- /dev/null
+++ b/results/train/hyperbola/problem_2519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adf31ac623ddfab1ef24863e37316846fe7aec78497498c17d62c8b253e7ee47
+size 280829
diff --git a/results/train/hyperbola/problem_2522.png b/results/train/hyperbola/problem_2522.png
new file mode 100644
index 0000000000000000000000000000000000000000..3abd8165dd70b8173be35b2953ebdc30b8717725
--- /dev/null
+++ b/results/train/hyperbola/problem_2522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbfc4ee65430cade5d11bb423076d1bbe77e0df1a814e405d35fac4b08a9f37d
+size 267783
diff --git a/results/train/hyperbola/problem_2523.png b/results/train/hyperbola/problem_2523.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b0ff72243c6b611658ce3eda15c64d2cfad7497
--- /dev/null
+++ b/results/train/hyperbola/problem_2523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b7637813248f72f8f137fe6d3564766e52c43401d0c44135f24a1ef0e2244ba
+size 248471
diff --git a/results/train/hyperbola/problem_2530.png b/results/train/hyperbola/problem_2530.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2315926f41fc1ecd7a3a24c836122ecaf4cc5b8
--- /dev/null
+++ b/results/train/hyperbola/problem_2530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0387804f4ded6d6c1d4996937114b592f1e1cee52da58ed489d9c44c66e6656
+size 269461
diff --git a/results/train/hyperbola/problem_2532.png b/results/train/hyperbola/problem_2532.png
new file mode 100644
index 0000000000000000000000000000000000000000..56c44ec7d0d67fd304f722c0a9312151c94463c4
--- /dev/null
+++ b/results/train/hyperbola/problem_2532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b213a6ccbaa1d20653559050338e61cc0f7a69d1df250abe59f5df89b61fd980
+size 243159
diff --git a/results/train/hyperbola/problem_2537.png b/results/train/hyperbola/problem_2537.png
new file mode 100644
index 0000000000000000000000000000000000000000..4841149824753e6a6071e4b355e8302de4096b31
--- /dev/null
+++ b/results/train/hyperbola/problem_2537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a19f0c7e54d1da43a9de5831ba20c978183ee1003c0d408fb18a56c9abc8f5e
+size 267130
diff --git a/results/train/hyperbola/problem_2545.png b/results/train/hyperbola/problem_2545.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e367fd93134ee006ea16a40289d46a134a6b99c
--- /dev/null
+++ b/results/train/hyperbola/problem_2545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d309f20ca8d7c4319b38b9723f91d054f2090e17ba7dd74a9f0cadf6d10d4682
+size 275574
diff --git a/results/train/hyperbola/problem_2553.png b/results/train/hyperbola/problem_2553.png
new file mode 100644
index 0000000000000000000000000000000000000000..aae7d86bd5cd97e43201c9dde37049879b9eb100
--- /dev/null
+++ b/results/train/hyperbola/problem_2553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f5a5cebaeabefeafa53af9708720dfaaf53fb4e22140df63e02290f7c237c33
+size 253382
diff --git a/results/train/hyperbola/problem_2555.png b/results/train/hyperbola/problem_2555.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb320562f7ed58bbb5b2f9dca0692c3c62992de4
--- /dev/null
+++ b/results/train/hyperbola/problem_2555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cc37605c43c5c38800ac73e181289063ed7942078a421c9a2300d550e372173
+size 269643
diff --git a/results/train/hyperbola/problem_2563.png b/results/train/hyperbola/problem_2563.png
new file mode 100644
index 0000000000000000000000000000000000000000..6882bff5160f1d712287d5bc20f82f79586f7ae9
--- /dev/null
+++ b/results/train/hyperbola/problem_2563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afabf703f34d5a340fd76c886c18cba062a713781981e418e16f6efc880ab996
+size 263026
diff --git a/results/train/hyperbola/problem_2567.png b/results/train/hyperbola/problem_2567.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c66d1a97269aacb034c0e0414c0f243cf25c0c3
--- /dev/null
+++ b/results/train/hyperbola/problem_2567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72b18822b83e31c3de0ebba36c0527cae241d0e0ece60ef933fe671a5f1db085
+size 273130
diff --git a/results/train/hyperbola/problem_2569.png b/results/train/hyperbola/problem_2569.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c9348d13b3f2360519362b181650cbf08512ee3
--- /dev/null
+++ b/results/train/hyperbola/problem_2569.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:719e6f1855ea02d1b47d7ec12baf86394a40d46a6240fb389a1bf752ec428ab0
+size 262619
diff --git a/results/train/hyperbola/problem_2571.png b/results/train/hyperbola/problem_2571.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eb9e63f78f84b743ff09c5536eec24cf89d332f
--- /dev/null
+++ b/results/train/hyperbola/problem_2571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7464994d548e62c4b7b405436e82388324a57d3f1c653534f53b7ab75835027f
+size 291128
diff --git a/results/train/hyperbola/problem_2575.png b/results/train/hyperbola/problem_2575.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe3cd390f577a56e3976bfab5c88dd92502eae41
--- /dev/null
+++ b/results/train/hyperbola/problem_2575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88ebc3b698a57da5c3f6d4b7fea9286c2859729a3c865e17909114aa115c11f5
+size 274714
diff --git a/results/train/hyperbola/problem_2576.png b/results/train/hyperbola/problem_2576.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b5ca29cddcc6e8ed1768386b822a2a8a1db96ef
--- /dev/null
+++ b/results/train/hyperbola/problem_2576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bf5696b8b8461e22f9f40b26f40c978c3baea8fcfb1dd55a896c1a9228b9900
+size 260892
diff --git a/results/train/hyperbola/problem_2577.png b/results/train/hyperbola/problem_2577.png
new file mode 100644
index 0000000000000000000000000000000000000000..26607e7d58409791d6df6670234d7b805c90cf53
--- /dev/null
+++ b/results/train/hyperbola/problem_2577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:20e8b16ce3dd3f634b4a92186f611f0c1ef5f6b5f8800d47cb7cdc9189836dd4
+size 263502
diff --git a/results/train/hyperbola/problem_2582.png b/results/train/hyperbola/problem_2582.png
new file mode 100644
index 0000000000000000000000000000000000000000..04adee63b4029268610b43752ec391dec28af9ca
--- /dev/null
+++ b/results/train/hyperbola/problem_2582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0c6ae8af1d4f7e06b89450aaa600bc4bea512b989bb9369d1069758685a8365
+size 257860
diff --git a/results/train/hyperbola/problem_2583.png b/results/train/hyperbola/problem_2583.png
new file mode 100644
index 0000000000000000000000000000000000000000..62302576a6fa108c0135a92f6a2d4166fca273e0
--- /dev/null
+++ b/results/train/hyperbola/problem_2583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64c1f0c09bdb13f9d2e21ea62cc5ddb0e674dc595687fc3fe217a441febe48ec
+size 267174
diff --git a/results/train/hyperbola/problem_2588.png b/results/train/hyperbola/problem_2588.png
new file mode 100644
index 0000000000000000000000000000000000000000..6650060c84507755096862224ce60acd5ddf24d5
--- /dev/null
+++ b/results/train/hyperbola/problem_2588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4352efb5121bdc6e504bb59e26d37daba2270f02dc2bcfaf4eaa1fd95a34d2d
+size 232077
diff --git a/results/train/hyperbola/problem_2589.png b/results/train/hyperbola/problem_2589.png
new file mode 100644
index 0000000000000000000000000000000000000000..6060cbb33c663b5118d60f39402c429170960365
--- /dev/null
+++ b/results/train/hyperbola/problem_2589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bed97e7180f22e7fafbc64ffc0a5a5ebdaff0fc654c6d7dc6516636565ce24b5
+size 265448
diff --git a/results/train/hyperbola/problem_2591.png b/results/train/hyperbola/problem_2591.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea692477896bdff3c7cf501147b0d68690de2a24
--- /dev/null
+++ b/results/train/hyperbola/problem_2591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f462d0ffc79a45d7f7b0a1d09a72f83a91e550b75b9d7098070b24c8fa131904
+size 267232
diff --git a/results/train/hyperbola/problem_2596.png b/results/train/hyperbola/problem_2596.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb7814d0d6169fbd6ece1501b2bb0103b0eb20bb
--- /dev/null
+++ b/results/train/hyperbola/problem_2596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:338307b0242f23f59da7a36c46014f221221046cd0a3fce4ed732f6236168fca
+size 255128
diff --git a/results/train/hyperbola/problem_2597.png b/results/train/hyperbola/problem_2597.png
new file mode 100644
index 0000000000000000000000000000000000000000..8426f744c7dcff2988aefbd3c5bc75dc7c399b4e
--- /dev/null
+++ b/results/train/hyperbola/problem_2597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0698f7c20b754c6139c2a6531bdf2bb21fb75626f32204131d23967de96acbbb
+size 251271
diff --git a/results/train/hyperbola/problem_2599.png b/results/train/hyperbola/problem_2599.png
new file mode 100644
index 0000000000000000000000000000000000000000..e42a4a3b419b2d8a8e9fd59a91b49d22754b1c49
--- /dev/null
+++ b/results/train/hyperbola/problem_2599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c11e49e7cf268a8370733d246774dcedbda07b16af68f486ad0736f8024c5b1f
+size 275901
diff --git a/results/train/hyperbola/problem_2602.png b/results/train/hyperbola/problem_2602.png
new file mode 100644
index 0000000000000000000000000000000000000000..3382e73b9ad3544c068469a1c6ce8419e4128647
--- /dev/null
+++ b/results/train/hyperbola/problem_2602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3e798adda1cbc27f94aedb2805526ec1e3f01706233c480f356bd0b93b150d6
+size 262011
diff --git a/results/train/hyperbola/problem_2603.png b/results/train/hyperbola/problem_2603.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb464b65a0edc783c35d8ec2d7f1a6c625030208
--- /dev/null
+++ b/results/train/hyperbola/problem_2603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4de7b4ce88f5b2c0f1076044f3d5abea5fc0a3529f7c4847c5279bc7320f6fe2
+size 300704
diff --git a/results/train/hyperbola/problem_2606.png b/results/train/hyperbola/problem_2606.png
new file mode 100644
index 0000000000000000000000000000000000000000..c425b67f375a0c5ad9980e55cc3de35ca2a0157a
--- /dev/null
+++ b/results/train/hyperbola/problem_2606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f91b0b7e36a4d775481ff1a5b8d8e641a9924a14421e30d1dc51c7e7b97a8631
+size 271709
diff --git a/results/train/hyperbola/problem_2608.png b/results/train/hyperbola/problem_2608.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3ea157f3f445d371e4f2357c8bd130478030a71
--- /dev/null
+++ b/results/train/hyperbola/problem_2608.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc929a97322519b7394319c0f8a1b0d4bfc2c4de3f1bc3f84046083de34e6bee
+size 260630
diff --git a/results/train/hyperbola/problem_2609.png b/results/train/hyperbola/problem_2609.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a72397ea32640807651a039af4ff8539b0661e5
--- /dev/null
+++ b/results/train/hyperbola/problem_2609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c87085cd96ca0b363052c1fa50c69c2cad627d70f7bdd539e622af48e625097a
+size 228898
diff --git a/results/train/hyperbola/problem_2613.png b/results/train/hyperbola/problem_2613.png
new file mode 100644
index 0000000000000000000000000000000000000000..abe56fbd090b6232fc7ffeed4bdcdf5c4e36b29d
--- /dev/null
+++ b/results/train/hyperbola/problem_2613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b399815f63dcbd7f1d51dbfd84d8e7662198adeedea72954d122bc2d72ba8386
+size 242431
diff --git a/results/train/hyperbola/problem_2615.png b/results/train/hyperbola/problem_2615.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d524f0001e10310783b7e24f091925038e26e81
--- /dev/null
+++ b/results/train/hyperbola/problem_2615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68cf1cfc9f2145dc3c2ae45ef0a06715eabc1a729cd54384baf605dd3d72ed88
+size 307178
diff --git a/results/train/hyperbola/problem_2617.png b/results/train/hyperbola/problem_2617.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdaf02982252bcf9673fa8fd05dc9c62f263ebf3
--- /dev/null
+++ b/results/train/hyperbola/problem_2617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:631b947905cb859e995a4b0c829aa81ce7a5de060cb2fb26653d559daab49886
+size 257596
diff --git a/results/train/hyperbola/problem_2621.png b/results/train/hyperbola/problem_2621.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0da7ead0b8be9330152fe6ed9c2be2676949365
--- /dev/null
+++ b/results/train/hyperbola/problem_2621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f955692c02853d7c799aa8bb6bbffa44fb25f300790308364b711a547b4f1355
+size 262916
diff --git a/results/train/hyperbola/problem_2626.png b/results/train/hyperbola/problem_2626.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b9f8fd6af556037384979a4585391f06896cbf7
--- /dev/null
+++ b/results/train/hyperbola/problem_2626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a39d89afb1d1a42da68a1e509531acd4d86446fe4fbec7f4aa35663b5158fea
+size 238766
diff --git a/results/train/hyperbola/problem_2629.png b/results/train/hyperbola/problem_2629.png
new file mode 100644
index 0000000000000000000000000000000000000000..08b93fb71b2eb0c4e4b8432f9795c145d62ad67c
--- /dev/null
+++ b/results/train/hyperbola/problem_2629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46a5da0c1010a4ae05254e5dba4e7db3cc0f1ee5143289a8125b02d6662c6bcd
+size 261607
diff --git a/results/train/hyperbola/problem_2634.png b/results/train/hyperbola/problem_2634.png
new file mode 100644
index 0000000000000000000000000000000000000000..303a693839f0b7ceb05d34269bc7c6c162d40722
--- /dev/null
+++ b/results/train/hyperbola/problem_2634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef3c3275ca4f25263f0710593bc9b16e705cbc0d16460a118b2c8835ddf17838
+size 261913
diff --git a/results/train/hyperbola/problem_2636.png b/results/train/hyperbola/problem_2636.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e290587d846fda879ab99ee65e2d16b47a7bce1
--- /dev/null
+++ b/results/train/hyperbola/problem_2636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a0d30344167fc29e109ebea285d13600d2abd0b6b9e83a0c51bfa9d4974aba1
+size 228879
diff --git a/results/train/hyperbola/problem_2644.png b/results/train/hyperbola/problem_2644.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e058450810b1572f7e779f49738b864ca808487
--- /dev/null
+++ b/results/train/hyperbola/problem_2644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8970bc0eac726fc97ae288c8bbf5b3a75731c952eb7f98830812a0ea802d983
+size 264749
diff --git a/results/train/hyperbola/problem_2649.png b/results/train/hyperbola/problem_2649.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7b8c1979eafdb4f4eb3291b5cea9467b1ef3546
--- /dev/null
+++ b/results/train/hyperbola/problem_2649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e9e76c524b86800d6a70009c826d8f52a80105452af1f1aad474a2eff93d9b8
+size 267197
diff --git a/results/train/hyperbola/problem_2651.png b/results/train/hyperbola/problem_2651.png
new file mode 100644
index 0000000000000000000000000000000000000000..b55814171e6c00629e55ffffe9e1cd71874b32d9
--- /dev/null
+++ b/results/train/hyperbola/problem_2651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04328f590ce72d1c67c3d16e95426ecd857e95f56e31afc229b281a13c96d03c
+size 299483
diff --git a/results/train/hyperbola/problem_2655.png b/results/train/hyperbola/problem_2655.png
new file mode 100644
index 0000000000000000000000000000000000000000..a137afa23af900dc9716a47a86540aecc51bc4dd
--- /dev/null
+++ b/results/train/hyperbola/problem_2655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2368019c59936f529272ba8f1ea18210b904c9986c80cfcde4bbf395b597fcc6
+size 299346
diff --git a/results/train/hyperbola/problem_2656.png b/results/train/hyperbola/problem_2656.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7cd6ac430437569814323e5b47e7f5d43a7b174
--- /dev/null
+++ b/results/train/hyperbola/problem_2656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4f0fa58a45dad1efd0548efef3628d90d4cda898af0c6836b9eeaf6985e462a
+size 238381
diff --git a/results/train/hyperbola/problem_2657.png b/results/train/hyperbola/problem_2657.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ba923ff3d5b0a700c7c46a206b8cd2a26e73454
--- /dev/null
+++ b/results/train/hyperbola/problem_2657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2edf8eb3748ac15c5e94473ab1bd04fbcb7928db9a864dd978779066bf06ba9c
+size 260555
diff --git a/results/train/hyperbola/problem_2661.png b/results/train/hyperbola/problem_2661.png
new file mode 100644
index 0000000000000000000000000000000000000000..793b709b1470cf7b84beeb8d48f12d2d663e96f9
--- /dev/null
+++ b/results/train/hyperbola/problem_2661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:595c444a7bbdcd69a00bc966d446c21d919b54b5ea89726e3d93dbb899d36315
+size 266748
diff --git a/results/train/hyperbola/problem_2662.png b/results/train/hyperbola/problem_2662.png
new file mode 100644
index 0000000000000000000000000000000000000000..578250bb20b3a0b03c4f31f399d10b033f36349b
--- /dev/null
+++ b/results/train/hyperbola/problem_2662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca94330f62a7e950ce3fb1cf11f7c104f79f6d920d2b2d81641b8bf4e787ddb5
+size 255285
diff --git a/results/train/hyperbola/problem_2666.png b/results/train/hyperbola/problem_2666.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ef3dbf49199494e420512acbc7c905d7adface9
--- /dev/null
+++ b/results/train/hyperbola/problem_2666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ba5ba8b3bc933310ee7c9cb5e081efb3897080f34598c73d40c7a0a13713074
+size 271276
diff --git a/results/train/hyperbola/problem_2667.png b/results/train/hyperbola/problem_2667.png
new file mode 100644
index 0000000000000000000000000000000000000000..e717b38f74831f559bd9dbdc6ece045653f0ee3b
--- /dev/null
+++ b/results/train/hyperbola/problem_2667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd9d33409e4e5e79861af83c247acae69db0d39b6a38163e3a0ce8b574ee5ce9
+size 242714
diff --git a/results/train/hyperbola/problem_2673.png b/results/train/hyperbola/problem_2673.png
new file mode 100644
index 0000000000000000000000000000000000000000..e81115bcad5397e0cf3d763bcaae1f70c3c39c11
--- /dev/null
+++ b/results/train/hyperbola/problem_2673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9876b37f6aa8325f38801c3aab33dbedaf5b31b5aa8d766977f0e4863a676a01
+size 252283
diff --git a/results/train/hyperbola/problem_2676.png b/results/train/hyperbola/problem_2676.png
new file mode 100644
index 0000000000000000000000000000000000000000..45983d03ed4b7405bf45c8f9f113d1aa68fad563
--- /dev/null
+++ b/results/train/hyperbola/problem_2676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0749009c5e654aaf70f4db70308d87799b923715efa9b70dc3b168c2ecbc145
+size 260051
diff --git a/results/train/hyperbola/problem_2677.png b/results/train/hyperbola/problem_2677.png
new file mode 100644
index 0000000000000000000000000000000000000000..3efeaa5fdac96ff3c76aeb5c70eb134dc94fde81
--- /dev/null
+++ b/results/train/hyperbola/problem_2677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95f2ad681fedadcb99fe2e62feb24caab95dd75b0f804a8466c9ec5e2c8b8ccb
+size 267720
diff --git a/results/train/hyperbola/problem_2684.png b/results/train/hyperbola/problem_2684.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a0f5fd2e9c59b02ad3ed2682dee42587149627a
--- /dev/null
+++ b/results/train/hyperbola/problem_2684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42e0e12c87ee91625e13e18c54bc4e6156a0edb3aaecdbcfc6f505594d582fde
+size 278415
diff --git a/results/train/hyperbola/problem_2685.png b/results/train/hyperbola/problem_2685.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d1b093b7614eb53379421037b16f318c8c1b4a6
--- /dev/null
+++ b/results/train/hyperbola/problem_2685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98ae35c2f2776ad8af0a7f5f93fb301c5b57c2f8d366cd08dabcc8cce0bb5c3b
+size 272423
diff --git a/results/train/hyperbola/problem_2689.png b/results/train/hyperbola/problem_2689.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b62ceff2bd69d8ecc45df52b2daff27b89084ed
--- /dev/null
+++ b/results/train/hyperbola/problem_2689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f54a973048d5ebf3361091fe71c5064a78c322c9a8ebb619b4570760ed5ff43
+size 258124
diff --git a/results/train/hyperbola/problem_2695.png b/results/train/hyperbola/problem_2695.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc3db2df3c920fe63f5c0c6deed1ca7472708b54
--- /dev/null
+++ b/results/train/hyperbola/problem_2695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f53187233ecfb828b5a095c33b19e7b06d140f4d1a8d15f9c67aae0d7f01c6a5
+size 260639
diff --git a/results/train/hyperbola/problem_2697.png b/results/train/hyperbola/problem_2697.png
new file mode 100644
index 0000000000000000000000000000000000000000..80a18cf8598e31fa0af473590f77dc94f380f69c
--- /dev/null
+++ b/results/train/hyperbola/problem_2697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9dacb3eab059bcbcf878503d99dc1da5e852c2e2ba05dd30511be8431b1c64f
+size 277403
diff --git a/results/train/hyperbola/problem_2698.png b/results/train/hyperbola/problem_2698.png
new file mode 100644
index 0000000000000000000000000000000000000000..0028806ab34cb70c32a527232561723bb006d6dd
--- /dev/null
+++ b/results/train/hyperbola/problem_2698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53f348093ea3e959a0b2317d629ef3d3ff2454a0a61565c884ab8c24906f5dcd
+size 256796
diff --git a/results/train/hyperbola/problem_2699.png b/results/train/hyperbola/problem_2699.png
new file mode 100644
index 0000000000000000000000000000000000000000..10ebb5d3e92a69ed640d86c61faf03b19ff90667
--- /dev/null
+++ b/results/train/hyperbola/problem_2699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f9c184550d80370d6b9202f71ea15d3fc8838adaecd753b6751ab9fbf42cafd
+size 267764
diff --git a/results/train/hyperbola/problem_2702.png b/results/train/hyperbola/problem_2702.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c58e0fc4f9c0e5f776cdab647d351d486706836
--- /dev/null
+++ b/results/train/hyperbola/problem_2702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f39864299efa39505508f78bd132cae1b1a7c2a2a2a8d627e522dda30f52c02c
+size 259123
diff --git a/results/train/hyperbola/problem_2707.png b/results/train/hyperbola/problem_2707.png
new file mode 100644
index 0000000000000000000000000000000000000000..55bca41fb1afa7057d94d66f6dfeff4185b4ce0b
--- /dev/null
+++ b/results/train/hyperbola/problem_2707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55d0849e02c0fce302880fc13a2f78a119f80abd7424822012309f74a086d5a8
+size 257261
diff --git a/results/train/hyperbola/problem_2708.png b/results/train/hyperbola/problem_2708.png
new file mode 100644
index 0000000000000000000000000000000000000000..464677cdd4be39bed4d045d3b01f10b486dd30ab
--- /dev/null
+++ b/results/train/hyperbola/problem_2708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69d8be39c46bf045a8d25bdcc01f7fc1e6d327898032665d2cf3df24fff8d981
+size 238508
diff --git a/results/train/hyperbola/problem_2709.png b/results/train/hyperbola/problem_2709.png
new file mode 100644
index 0000000000000000000000000000000000000000..952d441bdb2b5831adbe8dd6b77ad921c7380e18
--- /dev/null
+++ b/results/train/hyperbola/problem_2709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bba2210bf07dbaf9d95fd6d45a90a6c916fde133678567d6ba50b46898b5f0a
+size 258212
diff --git a/results/train/hyperbola/problem_2711.png b/results/train/hyperbola/problem_2711.png
new file mode 100644
index 0000000000000000000000000000000000000000..94d8fb6f76a13c1857b7017de4dbdd9bacdee946
--- /dev/null
+++ b/results/train/hyperbola/problem_2711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3576195a0261525ad32d0e02f562dc873157869daceb3abf73c6ac21aa5d8182
+size 220242
diff --git a/results/train/hyperbola/problem_2713.png b/results/train/hyperbola/problem_2713.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7a363ab6729efe82715c9d14f90f290ec79fd37
--- /dev/null
+++ b/results/train/hyperbola/problem_2713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e360681d0fb4bc389ddd61f374173b79724f2be393587c037b48ad82255dcbba
+size 256167
diff --git a/results/train/hyperbola/problem_2715.png b/results/train/hyperbola/problem_2715.png
new file mode 100644
index 0000000000000000000000000000000000000000..6024fcf9b00c0bdecd048c2501742685f0a27174
--- /dev/null
+++ b/results/train/hyperbola/problem_2715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7fd9012ff75888e13d1a20e392d903839d169e6d8afd0697d667e8890dd3ece
+size 263010
diff --git a/results/train/hyperbola/problem_2719.png b/results/train/hyperbola/problem_2719.png
new file mode 100644
index 0000000000000000000000000000000000000000..59e1ccdf9ec7b8021152b828d5e55ab9a4bc1170
--- /dev/null
+++ b/results/train/hyperbola/problem_2719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6f3df0d974759c7749dbb87b7a62d4371cb84e6b5140ea45327e83e77be7194
+size 247604
diff --git a/results/train/hyperbola/problem_2721.png b/results/train/hyperbola/problem_2721.png
new file mode 100644
index 0000000000000000000000000000000000000000..e98aeb9e98c2e292f5972484970c27ca85649b82
--- /dev/null
+++ b/results/train/hyperbola/problem_2721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0345e03b236f5f76f90e2b4811609c9a0263efacb151e76da45634031e0bedc
+size 267291
diff --git a/results/train/hyperbola/problem_2722.png b/results/train/hyperbola/problem_2722.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fa6b635917164055b8b39e45d63026fa3e426b1
--- /dev/null
+++ b/results/train/hyperbola/problem_2722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef25d59594bf25ce1b6e1bc50149696a43cb82b42eaee2e8d0dddd006e427d5a
+size 277696
diff --git a/results/train/hyperbola/problem_2723.png b/results/train/hyperbola/problem_2723.png
new file mode 100644
index 0000000000000000000000000000000000000000..8af5db817bbc1dc70bf53aeae5f74e61190c8fd2
--- /dev/null
+++ b/results/train/hyperbola/problem_2723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ad43f9df271ef34ac64bdb6c3818b22fb9dfa8241114dc21e1036b2d8df4616
+size 316948
diff --git a/results/train/hyperbola/problem_2729.png b/results/train/hyperbola/problem_2729.png
new file mode 100644
index 0000000000000000000000000000000000000000..a957d4e7b5a0a12f51d86b2a2f8374c05a99fe82
--- /dev/null
+++ b/results/train/hyperbola/problem_2729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48ab4cadf3a7313c660fb93149942b6876f90a98b4c595a3510f8e9811716a8a
+size 259137
diff --git a/results/train/hyperbola/problem_2736.png b/results/train/hyperbola/problem_2736.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f4a02a5401febb6e6387130c27374090f0d413f
--- /dev/null
+++ b/results/train/hyperbola/problem_2736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c0cd7c985a2c9a03a770fde48c3fba1b14f9e3eddcb45c8215707c6b6f1c629
+size 270689
diff --git a/results/train/hyperbola/problem_2738.png b/results/train/hyperbola/problem_2738.png
new file mode 100644
index 0000000000000000000000000000000000000000..d806dbc27af0f77d095dfa06281cd74c72afc220
--- /dev/null
+++ b/results/train/hyperbola/problem_2738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f4444a7ca8ee784d54f31428445f3fc0e55144b388d4a4e31a7848d34dd5446
+size 265750
diff --git a/results/train/hyperbola/problem_2751.png b/results/train/hyperbola/problem_2751.png
new file mode 100644
index 0000000000000000000000000000000000000000..709050f1ecb7af3604b98c649c10ee84faf47c33
--- /dev/null
+++ b/results/train/hyperbola/problem_2751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17f171e53908dffb47ebf0cd1ae4b55aa67b4b564f475f8e6ab440a83db33c59
+size 264694
diff --git a/results/train/hyperbola/problem_2768.png b/results/train/hyperbola/problem_2768.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8678bf7a86364a043ba2a32a1ca758c97f71dc9
--- /dev/null
+++ b/results/train/hyperbola/problem_2768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a7e4499d634140eb3c04e51ea0c3c0394c35ce7968bb2f76e3c33b29ccb64e7
+size 266229
diff --git a/results/train/hyperbola/problem_2769.png b/results/train/hyperbola/problem_2769.png
new file mode 100644
index 0000000000000000000000000000000000000000..9551af54695c45f46368786d64cf066d33630965
--- /dev/null
+++ b/results/train/hyperbola/problem_2769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16d2aa79b9dac9992812a2efc305c90a4332ae88afb9670f2e50e2662387edec
+size 270692
diff --git a/results/train/hyperbola/problem_2772.png b/results/train/hyperbola/problem_2772.png
new file mode 100644
index 0000000000000000000000000000000000000000..a01c76b4fc8a227f6208112d2f6564523af0eb08
--- /dev/null
+++ b/results/train/hyperbola/problem_2772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23bd7ca87417953048fb0b5e38f0432fc8894f9a79a4f05bde1084ddcc79809f
+size 280940
diff --git a/results/train/hyperbola/problem_2778.png b/results/train/hyperbola/problem_2778.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fb1fff1f27bd9ae371448195c782cef419d9c81
--- /dev/null
+++ b/results/train/hyperbola/problem_2778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66d48389cd163cf995b91972ae94951e2702a56975a6926b6d3469076b095af9
+size 253858
diff --git a/results/train/hyperbola/problem_2779.png b/results/train/hyperbola/problem_2779.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b9bcb61bb9eb23776dbfa2013456518adb01b9a
--- /dev/null
+++ b/results/train/hyperbola/problem_2779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a7423f9ee2af44e0abf82903be49eac26dfbd8ac180641d7ad8d92db9d58d13
+size 271364
diff --git a/results/train/hyperbola/problem_2781.png b/results/train/hyperbola/problem_2781.png
new file mode 100644
index 0000000000000000000000000000000000000000..6001d5a9e9f8bddd1cbac2dd9d3b7cfbdc794d77
--- /dev/null
+++ b/results/train/hyperbola/problem_2781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:232c72235e06a060d09a4002e053e10f2e60f93cce556e8bf22a1a07c00e8345
+size 270721
diff --git a/results/train/hyperbola/problem_2782.png b/results/train/hyperbola/problem_2782.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fec9aa5886a8ac23abaa14dda9aa1bc08fbfdda
--- /dev/null
+++ b/results/train/hyperbola/problem_2782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7c917bbed67767645c89ef076913812e257a2b4d83de9eded323a2af7ce41dd
+size 267046
diff --git a/results/train/hyperbola/problem_2783.png b/results/train/hyperbola/problem_2783.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ed2498004f73e87420de2ab28673bc4367850a2
--- /dev/null
+++ b/results/train/hyperbola/problem_2783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd6d7525bae3fd56f4249d007e0763b61243b39399c02012c20d964bbadb597a
+size 274573
diff --git a/results/train/hyperbola/problem_2786.png b/results/train/hyperbola/problem_2786.png
new file mode 100644
index 0000000000000000000000000000000000000000..800af68fee1ea045f11b4a161d759724466b4e80
--- /dev/null
+++ b/results/train/hyperbola/problem_2786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7eea075cba2bd779321ff8cb32c97dbc77be51e7dad45c2efdbba51d12edf0a1
+size 279995
diff --git a/results/train/hyperbola/problem_2790.png b/results/train/hyperbola/problem_2790.png
new file mode 100644
index 0000000000000000000000000000000000000000..b405d64d8072be6150943705b604a496136c9f72
--- /dev/null
+++ b/results/train/hyperbola/problem_2790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f403e9d447f4a5016175aeb595f41df2c3ed592aaec003d806cff25b9628d28
+size 267654
diff --git a/results/train/hyperbola/problem_2793.png b/results/train/hyperbola/problem_2793.png
new file mode 100644
index 0000000000000000000000000000000000000000..79c0aa33ca9c0205716922b815f64062bff5dc3e
--- /dev/null
+++ b/results/train/hyperbola/problem_2793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d5ee862011ba09e2f2c45197fa062a997429fb4b490ae78d7e0d5a0e143303
+size 242317
diff --git a/results/train/hyperbola/problem_2803.png b/results/train/hyperbola/problem_2803.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff69f3bf7eeebea0d5a25358d3c90f190f96455d
--- /dev/null
+++ b/results/train/hyperbola/problem_2803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:941f1ffbb4b15e4a5ad90abb69bd18cd42c70c1cf4c41b5741f62af227e8a76b
+size 263739
diff --git a/results/train/hyperbola/problem_2804.png b/results/train/hyperbola/problem_2804.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8eca1907f5f94ac9522ba64b2ad8bddc59997ad
--- /dev/null
+++ b/results/train/hyperbola/problem_2804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00a94a8fea517c98bb8a3eb441eb6a9075839d7b1e2ef3d2f8ce52a6c065de71
+size 249162
diff --git a/results/train/hyperbola/problem_2809.png b/results/train/hyperbola/problem_2809.png
new file mode 100644
index 0000000000000000000000000000000000000000..8abcb753d9d2c695bc423560a192a1f6df43481d
--- /dev/null
+++ b/results/train/hyperbola/problem_2809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10d0c745951a14da0923f4f592597e9292f03abb871729427a8e3f9c999b428b
+size 255554
diff --git a/results/train/hyperbola/problem_2814.png b/results/train/hyperbola/problem_2814.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ad478ab514c044a03093673c85e729c67f4a45f
--- /dev/null
+++ b/results/train/hyperbola/problem_2814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41951b68d8174a2d11be8450b4c5c39704ebade0cffd5d9a116429fcb4cc0122
+size 260949
diff --git a/results/train/hyperbola/problem_2817.png b/results/train/hyperbola/problem_2817.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2d4d4de1ad5f34304836231a09bef9e16c4e1be
--- /dev/null
+++ b/results/train/hyperbola/problem_2817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf74074b794548b2be038c1efcdf3c26e22323fdda602c936f4ed08b11525d06
+size 258532
diff --git a/results/train/hyperbola/problem_2835.png b/results/train/hyperbola/problem_2835.png
new file mode 100644
index 0000000000000000000000000000000000000000..d95e97a8e6e9939ef4499601bfed221e52b38e06
--- /dev/null
+++ b/results/train/hyperbola/problem_2835.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f02fecb2be6e5b776f5bed50f483b175580c478e6d0de031d718f76a966c8ce0
+size 261587
diff --git a/results/train/hyperbola/problem_2837.png b/results/train/hyperbola/problem_2837.png
new file mode 100644
index 0000000000000000000000000000000000000000..52464298dc0733d299f7a9da041c755b856573a1
--- /dev/null
+++ b/results/train/hyperbola/problem_2837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89f9787752f99641d132f618433257aace9627e73766bbb9fe136396f1572208
+size 265392
diff --git a/results/train/hyperbola/problem_2839.png b/results/train/hyperbola/problem_2839.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b5f5f0fd0ddf1f8391e0cb33bb3826555ec3c3b
--- /dev/null
+++ b/results/train/hyperbola/problem_2839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9ecfb0acc59b2dc374f820a07d5db912bc8f82bd8e6fba0ef898e9129b4b649
+size 231251
diff --git a/results/train/hyperbola/problem_2842.png b/results/train/hyperbola/problem_2842.png
new file mode 100644
index 0000000000000000000000000000000000000000..a561700e7ab23f26bafbda4a15e84fbefa014f7f
--- /dev/null
+++ b/results/train/hyperbola/problem_2842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad4b1210d7d18e98535724713c40ce4e1afaae78ee4cc65e6e057741b6e5da53
+size 260764
diff --git a/results/train/hyperbola/problem_2844.png b/results/train/hyperbola/problem_2844.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c8e3655cfcc38a87de424efb5cd299a7942c895
--- /dev/null
+++ b/results/train/hyperbola/problem_2844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a17c267f7dbbcbe9d44becd35768731553384726154fa0eda0c31316b4c872a
+size 249148
diff --git a/results/train/hyperbola/problem_2847.png b/results/train/hyperbola/problem_2847.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3c19c8b2e12dabb3b38a1a3f5085b759dcefb4c
--- /dev/null
+++ b/results/train/hyperbola/problem_2847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b445a9a1ac2a99aebff245944cc42e9a6f3606d2c976849b0590c40ec4061465
+size 269471
diff --git a/results/train/hyperbola/problem_2854.png b/results/train/hyperbola/problem_2854.png
new file mode 100644
index 0000000000000000000000000000000000000000..443173abfaeaf5098cacef06fce7944a0a3ae352
--- /dev/null
+++ b/results/train/hyperbola/problem_2854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e006796bd078efece3fdecaab8e3288e6935c8f09ffc78833caeb8e64857329c
+size 267016
diff --git a/results/train/hyperbola/problem_2856.png b/results/train/hyperbola/problem_2856.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f465029b160253df9e278aadd1b9388199d73e4
--- /dev/null
+++ b/results/train/hyperbola/problem_2856.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03dfed51fcf2c104812db7d4055382c039b53b3a2ea68bb696b690fcc06f765e
+size 246001
diff --git a/results/train/hyperbola/problem_2857.png b/results/train/hyperbola/problem_2857.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd5577a6aa4a96d0e7bcb707855e4613e2161add
--- /dev/null
+++ b/results/train/hyperbola/problem_2857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd99b37ae303a2a3347f086f67b7d0646e5ad35f413a5186101e30598bc9f2e9
+size 260820
diff --git a/results/train/hyperbola/problem_2865.png b/results/train/hyperbola/problem_2865.png
new file mode 100644
index 0000000000000000000000000000000000000000..f07f197aa5d9bdf16a6c0d84399196bea7cd3702
--- /dev/null
+++ b/results/train/hyperbola/problem_2865.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:297ac1aba49843c0c463966518761e28e547efc43c726cfe87b34249d2df5c55
+size 265364
diff --git a/results/train/hyperbola/problem_2866.png b/results/train/hyperbola/problem_2866.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fc58a0f2c842b9f8429758efe3a22643cc5e7b1
--- /dev/null
+++ b/results/train/hyperbola/problem_2866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0261bf3998824936c0f9e05334c1a1036db89bdfa2c0dfac8d618cf9687f95e9
+size 276940
diff --git a/results/train/hyperbola/problem_2873.png b/results/train/hyperbola/problem_2873.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bfc94138c9ab31c4e8ff0dfa7cbf769384bf935
--- /dev/null
+++ b/results/train/hyperbola/problem_2873.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c90c4f5eb2a38096c79158c387ac7e014d539a57475444ebf2bb5fa2ef698af4
+size 236007
diff --git a/results/train/hyperbola/problem_2875.png b/results/train/hyperbola/problem_2875.png
new file mode 100644
index 0000000000000000000000000000000000000000..95e579a922b6974f56c6c02f427524c61e9b46f2
--- /dev/null
+++ b/results/train/hyperbola/problem_2875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db25aa7bc2c7cd0ed90d65f8add6fb81c3f8b636bbe43df11b0a79915c15d196
+size 240575
diff --git a/results/train/hyperbola/problem_2881.png b/results/train/hyperbola/problem_2881.png
new file mode 100644
index 0000000000000000000000000000000000000000..08605acfa2df8391347b9ec71acee71e02565f31
--- /dev/null
+++ b/results/train/hyperbola/problem_2881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a224cdb6424c03b60015b7474483798a80fa5706a9b067395faaf9ca68e21c28
+size 273212
diff --git a/results/train/hyperbola/problem_2884.png b/results/train/hyperbola/problem_2884.png
new file mode 100644
index 0000000000000000000000000000000000000000..93ecc04bac6615dd629cba35b5bc7816e9d37d44
--- /dev/null
+++ b/results/train/hyperbola/problem_2884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8596ae1157a72de259954774ef3357449d6c912180346401e442d45179323a14
+size 283954
diff --git a/results/train/hyperbola/problem_2886.png b/results/train/hyperbola/problem_2886.png
new file mode 100644
index 0000000000000000000000000000000000000000..e27ecd85730dd551fdc1a73b30f26eb2f0d05fd7
--- /dev/null
+++ b/results/train/hyperbola/problem_2886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90e17f9603824959ff32190d13d2d6ac9f1bbc8b55c4e8915d9721da0bbc16a2
+size 278038
diff --git a/results/train/hyperbola/problem_2889.png b/results/train/hyperbola/problem_2889.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8307494fc1c8ead6d1f24ce6636d490ee7c1dbf
--- /dev/null
+++ b/results/train/hyperbola/problem_2889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1db34d587d0075c9ad4f390cb114c9b5e6df96a8877483896fd163cbf1622738
+size 228116
diff --git a/results/train/hyperbola/problem_2891.png b/results/train/hyperbola/problem_2891.png
new file mode 100644
index 0000000000000000000000000000000000000000..f413dcf6f5229f83384d9ab754359d1841bcfe7a
--- /dev/null
+++ b/results/train/hyperbola/problem_2891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60904e3caf930c260b860ad7a2cd4a59c34d097e06808d2356cf9b241ce22df0
+size 278997
diff --git a/results/train/hyperbola/problem_2899.png b/results/train/hyperbola/problem_2899.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c674a2fb9fdee7ebced0abdc8e0fe520cc2f574
--- /dev/null
+++ b/results/train/hyperbola/problem_2899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25074d186506262d492b214367659911b330649f3c091e0dcb814ca33c10c1fe
+size 286658
diff --git a/results/train/hyperbola/problem_2900.png b/results/train/hyperbola/problem_2900.png
new file mode 100644
index 0000000000000000000000000000000000000000..09def3e013a1695b0893788a865e6a0beece4bf2
--- /dev/null
+++ b/results/train/hyperbola/problem_2900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:600a18725ea2e82efaf06afd6c71825a7cd03eeb0593dc08c6aaa70287353430
+size 271489
diff --git a/results/train/hyperbola/problem_2901.png b/results/train/hyperbola/problem_2901.png
new file mode 100644
index 0000000000000000000000000000000000000000..6284449e6006f79f4cad2574716c345ba9e9968d
--- /dev/null
+++ b/results/train/hyperbola/problem_2901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c18f0797b7c1eff6d570d00892dc7a87187014e8a849b5e1249e301757fd5374
+size 279861
diff --git a/results/train/hyperbola/problem_2902.png b/results/train/hyperbola/problem_2902.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d78cc5da4fe686accba9fac48688f0237dd16aa
--- /dev/null
+++ b/results/train/hyperbola/problem_2902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7dd2baf8df193c0b39ac7b7c0083a132363e46dc435c7b7a715148fd2d57452f
+size 272045
diff --git a/results/train/hyperbola/problem_2917.png b/results/train/hyperbola/problem_2917.png
new file mode 100644
index 0000000000000000000000000000000000000000..1855101dc2d8a4ba91c765e0adf2147ce0996d6a
--- /dev/null
+++ b/results/train/hyperbola/problem_2917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d90c3484a59ab36ed2d37f6aa58c86cef5af5e6681d811d05d00df33b011215
+size 269744
diff --git a/results/train/hyperbola/problem_2925.png b/results/train/hyperbola/problem_2925.png
new file mode 100644
index 0000000000000000000000000000000000000000..410e7ceed3ea6ca12957749e7f3c994a7fa12f5c
--- /dev/null
+++ b/results/train/hyperbola/problem_2925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:700cde089c24c4aad51015a84e08913ded6d77d36dbbef1cb955611a3100e739
+size 260589
diff --git a/results/train/hyperbola/problem_2927.png b/results/train/hyperbola/problem_2927.png
new file mode 100644
index 0000000000000000000000000000000000000000..65a29891ef72e9f1ae2009c69c92904d14fca63b
--- /dev/null
+++ b/results/train/hyperbola/problem_2927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bac385bcae074295d2431cc85f042c047539dd4f4ac1c0a1e45153ceea5d708
+size 277950
diff --git a/results/train/hyperbola/problem_2931.png b/results/train/hyperbola/problem_2931.png
new file mode 100644
index 0000000000000000000000000000000000000000..5df0e177c3ff161bcc36443e6b8c8a0c832b2f12
--- /dev/null
+++ b/results/train/hyperbola/problem_2931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:885907ed24b4de4954e9c197dfa2ad1d305ddcd4ed0bbf95bf9ec98854824698
+size 237107
diff --git a/results/train/hyperbola/problem_2937.png b/results/train/hyperbola/problem_2937.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb6fcf370f33a1f7ce3535d43f8e0a3545b56b00
--- /dev/null
+++ b/results/train/hyperbola/problem_2937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cc3d3bae3193c30bd30a4238a2adb704da11f2d5f0cb58568137f4d7b6102a1
+size 249656
diff --git a/results/train/hyperbola/problem_2938.png b/results/train/hyperbola/problem_2938.png
new file mode 100644
index 0000000000000000000000000000000000000000..1538435976b3bacda3719448c0704736b3da62f6
--- /dev/null
+++ b/results/train/hyperbola/problem_2938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2390042de1390793ef27169a95fd8a959c01a427b76c4c4bc48ae6bc2bee0562
+size 267476
diff --git a/results/train/hyperbola/problem_2939.png b/results/train/hyperbola/problem_2939.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeb33e0ca859c5a9034a79e18152f208a6347895
--- /dev/null
+++ b/results/train/hyperbola/problem_2939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbd89c30b9998370fb2e4636920566a4fd840722cb5a6ca9c6006e34847e88a6
+size 271961
diff --git a/results/train/hyperbola/problem_2941.png b/results/train/hyperbola/problem_2941.png
new file mode 100644
index 0000000000000000000000000000000000000000..a118fa2ef64fe86dcb9bc834d5ee68bd40ae9d8e
--- /dev/null
+++ b/results/train/hyperbola/problem_2941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb4c08a18b0da3213b7812a3989f7f4918934e617d5f1ea243420c0502beab24
+size 259719
diff --git a/results/train/hyperbola/problem_2944.png b/results/train/hyperbola/problem_2944.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae9374c2c03b829c75f4380300d92c9e6182ed37
--- /dev/null
+++ b/results/train/hyperbola/problem_2944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69ce655bb13ba327dd7f8bb5ed525100e307fa9310ecd9c06e3ad25a17a796dc
+size 278553
diff --git a/results/train/hyperbola/problem_2950.png b/results/train/hyperbola/problem_2950.png
new file mode 100644
index 0000000000000000000000000000000000000000..26e479c585562b2ce627536085ebd23a3ccddd14
--- /dev/null
+++ b/results/train/hyperbola/problem_2950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afd047d3592309fde26137ff62a655afa41ab750e9054ba6ce96f559768fb7a7
+size 276031
diff --git a/results/train/hyperbola/problem_2952.png b/results/train/hyperbola/problem_2952.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdb0a12d6e3bf368d773de865755415d3c912715
--- /dev/null
+++ b/results/train/hyperbola/problem_2952.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:abacf2aad3ade0a5dd33c149a2d2fc7f5f976d7dc91225d291760cf3671356e9
+size 235861
diff --git a/results/train/hyperbola/problem_2954.png b/results/train/hyperbola/problem_2954.png
new file mode 100644
index 0000000000000000000000000000000000000000..be850c2e085081a17d318cddec8abbc97863dc8a
--- /dev/null
+++ b/results/train/hyperbola/problem_2954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40e14cc4aa8a762f6ffc63cb681ebc1614bdf80b9d04d8a8e6b301f4812f6542
+size 267078
diff --git a/results/train/hyperbola/problem_2959.png b/results/train/hyperbola/problem_2959.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd75d17faec8946697912bd273180e92c3c75694
--- /dev/null
+++ b/results/train/hyperbola/problem_2959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a6aed5cb5f1e8f9b7fb3c09cd2329552f22f9bab3c553eed63b294ada589f43
+size 273501
diff --git a/results/train/hyperbola/problem_2962.png b/results/train/hyperbola/problem_2962.png
new file mode 100644
index 0000000000000000000000000000000000000000..d42cbaf30e93f282926f1adaf2637f0c3837c66a
--- /dev/null
+++ b/results/train/hyperbola/problem_2962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dee44915d0da940b1fd049ecf5ecd27f1515d0ecf15b9f82419836d4a03f87f0
+size 254065
diff --git a/results/train/hyperbola/problem_2967.png b/results/train/hyperbola/problem_2967.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ed6089bef24397c73818b31e10c1a9923b9f784
--- /dev/null
+++ b/results/train/hyperbola/problem_2967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3558e88c9baf396ae80af39d73eb8bbd7b655a937a37151afe7b9ce18f1b5e1
+size 263478
diff --git a/results/train/hyperbola/problem_2970.png b/results/train/hyperbola/problem_2970.png
new file mode 100644
index 0000000000000000000000000000000000000000..3512ea73574ff099061ccf0c2cc6d0781c5060d2
--- /dev/null
+++ b/results/train/hyperbola/problem_2970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5c8108b0fb4500b663046250bc35024ab9d6a28916a01b6c0cc30ab1232867a
+size 247574
diff --git a/results/train/hyperbola/problem_2973.png b/results/train/hyperbola/problem_2973.png
new file mode 100644
index 0000000000000000000000000000000000000000..92c143061dbc84dd6aaa3ac5e8b4349e148855ef
--- /dev/null
+++ b/results/train/hyperbola/problem_2973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13e32ad027547c055fe04dff49c00720aed692119a54949f33133d4f93705a61
+size 234759
diff --git a/results/train/hyperbola/problem_2974.png b/results/train/hyperbola/problem_2974.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4498e733f4334c7bdcf2486f94ef4fcbb399977
--- /dev/null
+++ b/results/train/hyperbola/problem_2974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07ce5610decbe451fd447f3d271dbdadccd8f49d54df58b2ec6505da49bb7ff3
+size 276156
diff --git a/results/train/hyperbola/problem_2976.png b/results/train/hyperbola/problem_2976.png
new file mode 100644
index 0000000000000000000000000000000000000000..00624aa1fb012a2369875d17e0e93be50233592a
--- /dev/null
+++ b/results/train/hyperbola/problem_2976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d361568e2830a8f04b89c76645175876ddc00a4fee97470a8b7ae1d7ac1365a
+size 269179
diff --git a/results/train/hyperbola/problem_2980.png b/results/train/hyperbola/problem_2980.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9df5491e938472fbf3c66b7967f3c9441f5f601
--- /dev/null
+++ b/results/train/hyperbola/problem_2980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfaaab4994f7db5db8b328ccaea7e562d5da4268a37af82caf4e650f9f130f54
+size 259602
diff --git a/results/train/hyperbola/problem_2991.png b/results/train/hyperbola/problem_2991.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb7976edfa22aa3edfbceecb1b8da4bf56de72e0
--- /dev/null
+++ b/results/train/hyperbola/problem_2991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3a6a1d67e3307d636107ae50c1e73f7fc427492452b6714e48c828072e4699b
+size 270628
diff --git a/results/train/hyperbola/problem_2993.png b/results/train/hyperbola/problem_2993.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca1894a537aad1a36dec55fd1059b58c596911c3
--- /dev/null
+++ b/results/train/hyperbola/problem_2993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c458e24a779be36223c51bdb0ad42dc2810a613f514ae1855ed59fcd2066dcf1
+size 252205
diff --git a/results/train/hyperbola/problem_2996.png b/results/train/hyperbola/problem_2996.png
new file mode 100644
index 0000000000000000000000000000000000000000..27b1f21b226acc75b4765158ed324f0d766f56af
--- /dev/null
+++ b/results/train/hyperbola/problem_2996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac9d6ae1c4cbae66e306be3e4acfb3644741250b3b0751687dd98293ac8ad362
+size 229021
diff --git a/results/train/hyperbola/problem_2998.png b/results/train/hyperbola/problem_2998.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e6eeaac388e860ff626da6060b283a11a112dce
--- /dev/null
+++ b/results/train/hyperbola/problem_2998.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f65809bc99a0b9e0c6ecbbac1475c9ba488c2257642d8b39687ced32db98e8b
+size 269278
diff --git a/results/train/hyperbola/problem_3000.png b/results/train/hyperbola/problem_3000.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ca70bf777ba50c712e246a0304f8b2ead1a3759
--- /dev/null
+++ b/results/train/hyperbola/problem_3000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:953b58056dc4cd0071b1329402324c9e94c40c0c56b51313328a7262eedaf8df
+size 271936
diff --git a/results/train/hyperbola/problem_3001.png b/results/train/hyperbola/problem_3001.png
new file mode 100644
index 0000000000000000000000000000000000000000..764641ca96196a184ab2af6a05b872c709bda6d8
--- /dev/null
+++ b/results/train/hyperbola/problem_3001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1958fa6361ca3576b61ddd84ee9a6f001a8f49fc045e1a449663943514a298f2
+size 267518
diff --git a/results/train/hyperbola/problem_3004.png b/results/train/hyperbola/problem_3004.png
new file mode 100644
index 0000000000000000000000000000000000000000..1be37cdf1ab9b0f6f20d1bbcd35ea9f5f92a80e3
--- /dev/null
+++ b/results/train/hyperbola/problem_3004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:467547542361c32996e872ca043c07124957c5ae033f73e8da5b0e692bdc6f7c
+size 243511
diff --git a/results/train/hyperbola/problem_3005.png b/results/train/hyperbola/problem_3005.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d5ed640445324473ae56e94976cf8d0ac3ee4db
--- /dev/null
+++ b/results/train/hyperbola/problem_3005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c9473e9931ba1a0b25fc28aaee9e70e6f687ebd25020fbc3ce4138f2f86372e
+size 248703
diff --git a/results/train/hyperbola/problem_3006.png b/results/train/hyperbola/problem_3006.png
new file mode 100644
index 0000000000000000000000000000000000000000..05500bc23233a953bbd7d9d0de14c9ecb043392f
--- /dev/null
+++ b/results/train/hyperbola/problem_3006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fa3ae789e13c459258df757fcf978c3dba8660dbc00316eb8307c684fa73d46
+size 270067
diff --git a/results/train/hyperbola/problem_3009.png b/results/train/hyperbola/problem_3009.png
new file mode 100644
index 0000000000000000000000000000000000000000..60ccf03f4c92c7b0cf7ab47e4eb0b2c09d80663b
--- /dev/null
+++ b/results/train/hyperbola/problem_3009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d93cc0ffb6e1dc029bae4d18c3c9102bc9d9d8fcd8e6cc15909aa0ed3fc04c5f
+size 262168
diff --git a/results/train/hyperbola/problem_3010.png b/results/train/hyperbola/problem_3010.png
new file mode 100644
index 0000000000000000000000000000000000000000..000724a9524c66215dabfe0d5ce032f9ccc14751
--- /dev/null
+++ b/results/train/hyperbola/problem_3010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3308cfc038ef8a4180bf14ddb3a1a72ba03fe453a1324dcba2fc03b094787599
+size 267393
diff --git a/results/train/hyperbola/problem_3025.png b/results/train/hyperbola/problem_3025.png
new file mode 100644
index 0000000000000000000000000000000000000000..8339ff55b99d0f19fab15ad42c3ef13606acca86
--- /dev/null
+++ b/results/train/hyperbola/problem_3025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d57d91a28dca93de08697c2f22700e9dd6f96b500a6ab934c65fa60f54218d29
+size 261087
diff --git a/results/train/hyperbola/problem_3028.png b/results/train/hyperbola/problem_3028.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd976e45767cdddd2f78fcb0571e11faa8727686
--- /dev/null
+++ b/results/train/hyperbola/problem_3028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6e7b30a0493ee054d13ea0e49b4275f7410e2cfd124f220449ce80f63840882
+size 271323
diff --git a/results/train/hyperbola/problem_3030.png b/results/train/hyperbola/problem_3030.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cebb1a09853e56e16d220eff520028885afdd74
--- /dev/null
+++ b/results/train/hyperbola/problem_3030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47245e49a95b03bff8b80f603138fe5f0f6f03ed311654f09e2b0a18bbc1e436
+size 269449
diff --git a/results/train/hyperbola/problem_3039.png b/results/train/hyperbola/problem_3039.png
new file mode 100644
index 0000000000000000000000000000000000000000..3475e6eefdad029ae56f4e415d6e01e18eb4800a
--- /dev/null
+++ b/results/train/hyperbola/problem_3039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f9da8da6ff0774edb585d7c98fcb7b4a3fd8df26fb4a56273a0d927330d245e
+size 267377
diff --git a/results/train/hyperbola/problem_3045.png b/results/train/hyperbola/problem_3045.png
new file mode 100644
index 0000000000000000000000000000000000000000..4884aafd350daf8c1d400034c135b0432c90a7b2
--- /dev/null
+++ b/results/train/hyperbola/problem_3045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bb94702013b7c65be180f25be9415f5028cd4483b6e0d30598ea368e4875388
+size 269984
diff --git a/results/train/hyperbola/problem_3048.png b/results/train/hyperbola/problem_3048.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bffdec5818a35568daf9c136585be3b438ad254
--- /dev/null
+++ b/results/train/hyperbola/problem_3048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90a3dbbb2bad1c7c9261318b8518266983292b1459c2bb15cbad3569b2a4245b
+size 255059
diff --git a/results/train/hyperbola/problem_3049.png b/results/train/hyperbola/problem_3049.png
new file mode 100644
index 0000000000000000000000000000000000000000..06004629e24cea81c57cf937cf67ff31e420bd5d
--- /dev/null
+++ b/results/train/hyperbola/problem_3049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7acdfcfc710d44b3edde3fcb90b8e75bfb542f606235352130f63f10eb6def1d
+size 265149
diff --git a/results/train/hyperbola/problem_3058.png b/results/train/hyperbola/problem_3058.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a1044c9bfed28ef45d1a5d108dd642876376141
--- /dev/null
+++ b/results/train/hyperbola/problem_3058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83a1f9413498715439cafe94d3ec0f37a5d8662de4b67949598354012a46f220
+size 259399
diff --git a/results/train/hyperbola/problem_3060.png b/results/train/hyperbola/problem_3060.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eddb7f5bf64a4f7296ebc281d1ab973ee7b93e3
--- /dev/null
+++ b/results/train/hyperbola/problem_3060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:689c4c9eab722060d1a7c930318e600c2addff7d5891d0e0158180cc473b7eac
+size 271611
diff --git a/results/train/hyperbola/problem_3061.png b/results/train/hyperbola/problem_3061.png
new file mode 100644
index 0000000000000000000000000000000000000000..452678ff4197006177855913866e12d1c57eb04d
--- /dev/null
+++ b/results/train/hyperbola/problem_3061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd5ee3150a96909c221d73ee73f1349411e6f3fb563e9d63fe039f4e5d46a69b
+size 272578
diff --git a/results/train/hyperbola/problem_3067.png b/results/train/hyperbola/problem_3067.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cf99b291422fd7615b5c66d62ed87f762956289
--- /dev/null
+++ b/results/train/hyperbola/problem_3067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fbfba668aba3cb59975b5203edd48a9d125dc7c165413e1b1c74c3720158b3d
+size 236769
diff --git a/results/train/hyperbola/problem_3069.png b/results/train/hyperbola/problem_3069.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa2918175baa7acc6cc4dbf9e18e149e26580a0c
--- /dev/null
+++ b/results/train/hyperbola/problem_3069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:897e8d4a7bc2ac205ef3d66738fe2aa9f81cb8658b044c63efa70ca89c4b643e
+size 259986
diff --git a/results/train/hyperbola/problem_3070.png b/results/train/hyperbola/problem_3070.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6a9d9733377313611c3b4f9ca37925faf288225
--- /dev/null
+++ b/results/train/hyperbola/problem_3070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43255153590167c1d77e17bd1ef20a3a476584c298408dca7fd46ae88d00a1f2
+size 272842
diff --git a/results/train/hyperbola/problem_3075.png b/results/train/hyperbola/problem_3075.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f38ef64ffdcb127e7cc7c6527d4251ce93dd124
--- /dev/null
+++ b/results/train/hyperbola/problem_3075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:027bafb587ade08d91bf68d485495d022b6e8b02241374c1196fd08ebb50b35b
+size 261166
diff --git a/results/train/hyperbola/problem_3077.png b/results/train/hyperbola/problem_3077.png
new file mode 100644
index 0000000000000000000000000000000000000000..93832d9f53e60e1ef0c6413f21fb5210b79890ad
--- /dev/null
+++ b/results/train/hyperbola/problem_3077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a2ce8a1ef57c65522a7bfc4f55759f53254173a64fe2423a35b373364dbee0a
+size 232813
diff --git a/results/train/hyperbola/problem_3081.png b/results/train/hyperbola/problem_3081.png
new file mode 100644
index 0000000000000000000000000000000000000000..a65bccf8feb6367d2b3af116797ccbf5972e7c28
--- /dev/null
+++ b/results/train/hyperbola/problem_3081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:684a633d6b24ed78fb1bdaec4dbb0734ada4ff2f55d5703a8a931e4665a0a818
+size 270471
diff --git a/results/train/hyperbola/problem_3087.png b/results/train/hyperbola/problem_3087.png
new file mode 100644
index 0000000000000000000000000000000000000000..884fb921381ff4b610db029cdcb8ab492e5df24a
--- /dev/null
+++ b/results/train/hyperbola/problem_3087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adc77881ae5deb80be425e2d89685444cf5caf251975879a56515867d0abd369
+size 275559
diff --git a/results/train/hyperbola/problem_3092.png b/results/train/hyperbola/problem_3092.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb8a5ed0a48cfc6e791c99bedfdc15b7dd4ca017
--- /dev/null
+++ b/results/train/hyperbola/problem_3092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ecac4db0a22f97323799b634988615997a39389d8209586153fcbd2b469a8ab
+size 266770
diff --git a/results/train/hyperbola/problem_3094.png b/results/train/hyperbola/problem_3094.png
new file mode 100644
index 0000000000000000000000000000000000000000..41cbaf3810f79f8d69d4f01d754dadf2cfe835a7
--- /dev/null
+++ b/results/train/hyperbola/problem_3094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb96e0fe8c12bd7703dc7901e25ced092ba3291a8a2fc078d28c6c0657a4185e
+size 269476
diff --git a/results/train/hyperbola/problem_3095.png b/results/train/hyperbola/problem_3095.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ff9d37de5845ac65faa02a66a4ef30c1a2fc642
--- /dev/null
+++ b/results/train/hyperbola/problem_3095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17497ab476403497d3c17a755db8cc62dcef96fb2c5193beeb3c74b997c4e58c
+size 250004
diff --git a/results/train/hyperbola/problem_3103.png b/results/train/hyperbola/problem_3103.png
new file mode 100644
index 0000000000000000000000000000000000000000..267ac125a372258e8e10321d68e37af36e308ca8
--- /dev/null
+++ b/results/train/hyperbola/problem_3103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a43ef55e6fdb50451c9d9649542e4ca175a5bacd0f2c3acfd4b32bd9c28100e5
+size 300071
diff --git a/results/train/hyperbola/problem_3105.png b/results/train/hyperbola/problem_3105.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eef2c8334a8c51f7c46c8b5e12753ad1821ac2a
--- /dev/null
+++ b/results/train/hyperbola/problem_3105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2a07b51f8c36a104ba560efb11b5a143c5cd87dad17107b0ecbae26e2d8e7c4
+size 235109
diff --git a/results/train/hyperbola/problem_3107.png b/results/train/hyperbola/problem_3107.png
new file mode 100644
index 0000000000000000000000000000000000000000..da65d59338e04b3dc4f56653e1cbb053a64da4de
--- /dev/null
+++ b/results/train/hyperbola/problem_3107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ab997638460f748386ef2445b33992323b8919992e4ef9a627f469b936a983c
+size 235108
diff --git a/results/train/hyperbola/problem_3110.png b/results/train/hyperbola/problem_3110.png
new file mode 100644
index 0000000000000000000000000000000000000000..efc4eb836c14c33740e3720cebf315f55d161176
--- /dev/null
+++ b/results/train/hyperbola/problem_3110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d0a3b68cbb6cf634d4987d8b210b7475bd290ca9057f92b826d9d1afafd6be1
+size 266629
diff --git a/results/train/hyperbola/problem_3112.png b/results/train/hyperbola/problem_3112.png
new file mode 100644
index 0000000000000000000000000000000000000000..6bd9046a9e6cf03a09b2ba55fe586a7404c25278
--- /dev/null
+++ b/results/train/hyperbola/problem_3112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52e7004776e58c975c324cda97eac3ea70359ac725ec7c39c93e3cb16920990d
+size 285133
diff --git a/results/train/hyperbola/problem_3113.png b/results/train/hyperbola/problem_3113.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ca8ab7e4eec33931c204a5c3c9ad9be6a7d0089
--- /dev/null
+++ b/results/train/hyperbola/problem_3113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb3579585917723c4e453b293ade92b40d24f2115c0f5d2f5cc1758eb15aec5d
+size 266996
diff --git a/results/train/hyperbola/problem_3114.png b/results/train/hyperbola/problem_3114.png
new file mode 100644
index 0000000000000000000000000000000000000000..313c207944f97b0def0454edf4e227b449ca7c38
--- /dev/null
+++ b/results/train/hyperbola/problem_3114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a19fe3b3722c3ad69daa01a0a202f4a7b2a9c694fa05ac5e7351f1ae478be6ca
+size 266989
diff --git a/results/train/hyperbola/problem_3115.png b/results/train/hyperbola/problem_3115.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bc0317145a3d35c362eb23aba4d9cc8e15edf58
--- /dev/null
+++ b/results/train/hyperbola/problem_3115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68648b2c6db64635fee37ab874005e53ba89ea7fe2af85a2bf9df38a52b41f39
+size 267242
diff --git a/results/train/hyperbola/problem_3116.png b/results/train/hyperbola/problem_3116.png
new file mode 100644
index 0000000000000000000000000000000000000000..c388003bb87c62824dc0ac93a7a60e209c66f864
--- /dev/null
+++ b/results/train/hyperbola/problem_3116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a360e5bcd6fb7b6bdea771abb68c804cf9697ee87470d00d943c04eae665cd00
+size 259910
diff --git a/results/train/hyperbola/problem_3118.png b/results/train/hyperbola/problem_3118.png
new file mode 100644
index 0000000000000000000000000000000000000000..9670dc083dad8b7708ac4b459165efc2c49a012d
--- /dev/null
+++ b/results/train/hyperbola/problem_3118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4162966043563dfe4533b3bdbaed3d529a2ed4fb39f35037cf35462b2940eec
+size 251870
diff --git a/results/train/hyperbola/problem_3121.png b/results/train/hyperbola/problem_3121.png
new file mode 100644
index 0000000000000000000000000000000000000000..7416e5447c95652f195a6a330c898fdf699cdc89
--- /dev/null
+++ b/results/train/hyperbola/problem_3121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ebc27eb03c876162ee751552b494b075c2ba3759df581bb886c9dfb4f581c82
+size 274460
diff --git a/results/train/hyperbola/problem_3130.png b/results/train/hyperbola/problem_3130.png
new file mode 100644
index 0000000000000000000000000000000000000000..f82c4e54b59d204b80d4680e4860727f44190487
--- /dev/null
+++ b/results/train/hyperbola/problem_3130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e872ffb47e8e34f4c3e1cdd96bd6cd49eb162987953fe2a3161bc2ddddeabb35
+size 242539
diff --git a/results/train/hyperbola/problem_3134.png b/results/train/hyperbola/problem_3134.png
new file mode 100644
index 0000000000000000000000000000000000000000..d222a1bb9cf3a8b75f0500fa5e37b7769891f32e
--- /dev/null
+++ b/results/train/hyperbola/problem_3134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a96f2dfcb3ad2085b7ec4e056d66b4b1b9394c6e3d2d7000504d3c83e8cdfe8a
+size 266937
diff --git a/results/train/hyperbola/problem_3141.png b/results/train/hyperbola/problem_3141.png
new file mode 100644
index 0000000000000000000000000000000000000000..8704ecb402143f06ac39b5f7f119b9962be9d839
--- /dev/null
+++ b/results/train/hyperbola/problem_3141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a8e9cece6b649f1552dc3f2e21589a99f1a4afa581bdb3ead104de32fa48ff0
+size 259096
diff --git a/results/train/hyperbola/problem_3142.png b/results/train/hyperbola/problem_3142.png
new file mode 100644
index 0000000000000000000000000000000000000000..27b5e542f16b337c6b44c6da0e8c4bcb83340e45
--- /dev/null
+++ b/results/train/hyperbola/problem_3142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d0a1ca2b10ded7d7bb367c99e089d8caef020669fdc536b904da54828006af2
+size 285913
diff --git a/results/train/hyperbola/problem_3147.png b/results/train/hyperbola/problem_3147.png
new file mode 100644
index 0000000000000000000000000000000000000000..808dcf847e4473b838e10e16abe9a0fdc80e1d33
--- /dev/null
+++ b/results/train/hyperbola/problem_3147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f9324af7cca4be8d6094ff8b573c2ea537dc4512be0509ecdb0d7ef980debe5
+size 246307
diff --git a/results/train/hyperbola/problem_3153.png b/results/train/hyperbola/problem_3153.png
new file mode 100644
index 0000000000000000000000000000000000000000..bac65862965b7198c96d558ac4cc651afed52e13
--- /dev/null
+++ b/results/train/hyperbola/problem_3153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0789b576cc447667b54cb7d67805dc025bc6fccb9b3d58f4f4bd49b91cfecdb
+size 260680
diff --git a/results/train/hyperbola/problem_3160.png b/results/train/hyperbola/problem_3160.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2855dd9d0e590465be95c4094bea2caa05559f4
--- /dev/null
+++ b/results/train/hyperbola/problem_3160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34f7bda1f01be8ad786704593210268d21f85e9370ccf467a7846b44c2a3c1f9
+size 259732
diff --git a/results/train/hyperbola/problem_3167.png b/results/train/hyperbola/problem_3167.png
new file mode 100644
index 0000000000000000000000000000000000000000..2284e74ba2af8b5fcd0886ecdaa4ef93bdff96c0
--- /dev/null
+++ b/results/train/hyperbola/problem_3167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3daa1b1bf4d7339976016c4ec51737ebcaa366cc016eff6e280b10887dce2460
+size 247935
diff --git a/results/train/hyperbola/problem_3170.png b/results/train/hyperbola/problem_3170.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c0c0467383b74d6b5cc32495dd2cd14987ab09b
--- /dev/null
+++ b/results/train/hyperbola/problem_3170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29ad8d14ea1fcfa23827dc6894de9aebef1e853b9a19fef58351e052e6d40e6d
+size 269160
diff --git a/results/train/hyperbola/problem_3175.png b/results/train/hyperbola/problem_3175.png
new file mode 100644
index 0000000000000000000000000000000000000000..f408cf3ff0d0260207d5825a23803922177e62df
--- /dev/null
+++ b/results/train/hyperbola/problem_3175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efa7e2f5c0d83be6203598682691ac4fa375f11bc537b7a76cdf0a85e96dc183
+size 204338
diff --git a/results/train/hyperbola/problem_3176.png b/results/train/hyperbola/problem_3176.png
new file mode 100644
index 0000000000000000000000000000000000000000..299923a091a197c2e774bbde8962d4123d8b9366
--- /dev/null
+++ b/results/train/hyperbola/problem_3176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d1b04370bef265a85c40e0ee8792f35b972af0b8654c3240733c130ff29abee
+size 234628
diff --git a/results/train/hyperbola/problem_3177.png b/results/train/hyperbola/problem_3177.png
new file mode 100644
index 0000000000000000000000000000000000000000..ada5fcfbb47a2f6493ea1930d032b0e3e18e9162
--- /dev/null
+++ b/results/train/hyperbola/problem_3177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:335a4b06cc17db26da0121c9dd5b4f3aa3ddb7f0ae23e56215a26c3066898d18
+size 273417
diff --git a/results/train/hyperbola/problem_3181.png b/results/train/hyperbola/problem_3181.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a339dd713ad9a28028a0774cc0234c159539523
--- /dev/null
+++ b/results/train/hyperbola/problem_3181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b191eabff1ba4211fa4619eb0797aeedb2c6892537791eccdeb553efeacedcb0
+size 276649
diff --git a/results/train/hyperbola/problem_3187.png b/results/train/hyperbola/problem_3187.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bf61b9629b448d79225a2b56db1669dcaed841e
--- /dev/null
+++ b/results/train/hyperbola/problem_3187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81a06c13a9f7e133ea43c91a0a52d5425f5a3fed75b236a1b3b7cf6f1a8fd1bf
+size 271686
diff --git a/results/train/hyperbola/problem_3189.png b/results/train/hyperbola/problem_3189.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a8fce51fc8b442f80e473517c83530f11c277c7
--- /dev/null
+++ b/results/train/hyperbola/problem_3189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47f2d08638fed36d7aaaae5d421267b201b4a2a117f24242dc2fb7c4a786fa44
+size 260508
diff --git a/results/train/hyperbola/problem_3197.png b/results/train/hyperbola/problem_3197.png
new file mode 100644
index 0000000000000000000000000000000000000000..6aac2dedfab97450402191a40defebc6fc9a39d0
--- /dev/null
+++ b/results/train/hyperbola/problem_3197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30249a77dde71c14b1b0adeb62fa633ba72b4b2639127fae4af8128b34e2f31b
+size 270501
diff --git a/results/train/hyperbola/problem_3198.png b/results/train/hyperbola/problem_3198.png
new file mode 100644
index 0000000000000000000000000000000000000000..3be6476e01404f1f483b324b855132befb15b16a
--- /dev/null
+++ b/results/train/hyperbola/problem_3198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc6b4e2229e7c945dc9bb3200aaad1b3d2326b93bc29b2266882d19d63fd23c6
+size 264396
diff --git a/results/train/hyperbola/problem_3199.png b/results/train/hyperbola/problem_3199.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e3a5eebb5b4bd1fbb8dc6b9af49737c26dc3cdf
--- /dev/null
+++ b/results/train/hyperbola/problem_3199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1a5a6039dd377a821803a6a85adacdbf2c70c58104a5d2d28746ffba807b716
+size 257302
diff --git a/results/train/hyperbola/problem_3202.png b/results/train/hyperbola/problem_3202.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3447bb63874e0c48ab541dc7302f305d5186091
--- /dev/null
+++ b/results/train/hyperbola/problem_3202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d9dcc2cf2708a9a7a4024fde0a113f506ab71e24f9da589ad458aaa2070ab00
+size 263597
diff --git a/results/train/hyperbola/problem_3203.png b/results/train/hyperbola/problem_3203.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae7a490b5f44b6c2c0f40c822b892f5bb950ace0
--- /dev/null
+++ b/results/train/hyperbola/problem_3203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3bddab17e7438389dd60c3417587a7f48fe37b1deaf09a18c8ef0963eff8eeb
+size 251633
diff --git a/results/train/hyperbola/problem_3207.png b/results/train/hyperbola/problem_3207.png
new file mode 100644
index 0000000000000000000000000000000000000000..0fe8a65fd226a5350ad11d3fa8852957c942090a
--- /dev/null
+++ b/results/train/hyperbola/problem_3207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d330dbd0eac0a4ec316fd2e5591aa1eacedbccec63246e77014db32f3b7e3c4c
+size 255644
diff --git a/results/train/hyperbola/problem_3210.png b/results/train/hyperbola/problem_3210.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1f66e94af7c158b96d0b3dab6ccd51db2120cc4
--- /dev/null
+++ b/results/train/hyperbola/problem_3210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a3c9f08c64666e52651cad7e7cff184b2cf3b8ebfcb2ec7f6ef73e893233a71
+size 284734
diff --git a/results/train/hyperbola/problem_3225.png b/results/train/hyperbola/problem_3225.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc3fc3aef5a5879efcb9ea0f350f0a13615e2a25
--- /dev/null
+++ b/results/train/hyperbola/problem_3225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd2c06db3d1df3d01f2ba607089679f93465d56e5c89a823f7afa1b67faf0a7f
+size 273979
diff --git a/results/train/hyperbola/problem_3233.png b/results/train/hyperbola/problem_3233.png
new file mode 100644
index 0000000000000000000000000000000000000000..5305c96421ba2e7ec5a3633c1e3a7b4f1322f18b
--- /dev/null
+++ b/results/train/hyperbola/problem_3233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:215a8cc2aba6dc9b3fbce188dfa77d5304cf4861f1ea10960a1beb14fa302d49
+size 273438
diff --git a/results/train/hyperbola/problem_3234.png b/results/train/hyperbola/problem_3234.png
new file mode 100644
index 0000000000000000000000000000000000000000..226e96f74d86a0c34cb28237452c51d49b223df9
--- /dev/null
+++ b/results/train/hyperbola/problem_3234.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b21728a849c1ff2371e3df146276f253d1be42489115cf50272386db0ed4526
+size 264625
diff --git a/results/train/hyperbola/problem_3237.png b/results/train/hyperbola/problem_3237.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fa11081f354550d166052b92791e1292f91e428
--- /dev/null
+++ b/results/train/hyperbola/problem_3237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:918c4c28ff9cf7da1ef5b7a82fa5faf8f6efa1d9b08e0e76567a267f3078a86e
+size 266974
diff --git a/results/train/hyperbola/problem_3239.png b/results/train/hyperbola/problem_3239.png
new file mode 100644
index 0000000000000000000000000000000000000000..539ef68af71b844a44797e8a7a12d88d1d60861c
--- /dev/null
+++ b/results/train/hyperbola/problem_3239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bb00f2e49a920b8dcafd228f6dc0ba19cb31daec8c018b543f206692cc46dc7
+size 258857
diff --git a/results/train/hyperbola/problem_3245.png b/results/train/hyperbola/problem_3245.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e9250c2b27909b35a8d4ced13cde5ef0cff2ae9
--- /dev/null
+++ b/results/train/hyperbola/problem_3245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61bbf0527701eeeb982a655f66ec7f6967e2c1469da54dbe021ee986c646711e
+size 309861
diff --git a/results/train/hyperbola/problem_3249.png b/results/train/hyperbola/problem_3249.png
new file mode 100644
index 0000000000000000000000000000000000000000..443470108494f2a914077ce25a39845a5dd52f45
--- /dev/null
+++ b/results/train/hyperbola/problem_3249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4c5415a68e2e16a4a1890e52c1637743b8c8d1c8bdbf3680a54c6964045076a
+size 271278
diff --git a/results/train/hyperbola/problem_3252.png b/results/train/hyperbola/problem_3252.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2b0ee45a0466a4f0213df34b81229a055bc06b6
--- /dev/null
+++ b/results/train/hyperbola/problem_3252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d8477c7beee4e102175e85dc8456c7568f983febeca3d2d12ec6a8dc792f8cc
+size 308420
diff --git a/results/train/hyperbola/problem_3254.png b/results/train/hyperbola/problem_3254.png
new file mode 100644
index 0000000000000000000000000000000000000000..564be49203fd296597212700f618ee3bdd6fbbf6
--- /dev/null
+++ b/results/train/hyperbola/problem_3254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f7f509724d19d8df4b6ce714210315cd1a4b8982c71f8c1b158911381f6856f
+size 261353
diff --git a/results/train/hyperbola/problem_3255.png b/results/train/hyperbola/problem_3255.png
new file mode 100644
index 0000000000000000000000000000000000000000..8436f35a43feaf89f9ee08d3be7a05eab314966f
--- /dev/null
+++ b/results/train/hyperbola/problem_3255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92dadb1703da7a8e6486651f1cece3ca8494c3651d6e8a2d1e6531cc95b6e815
+size 263196
diff --git a/results/train/hyperbola/problem_3261.png b/results/train/hyperbola/problem_3261.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fc809c3c33a858875a6d844e1fe51db33f098ad
--- /dev/null
+++ b/results/train/hyperbola/problem_3261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bb7d3ab133d30d1e17403a900fee8b4e17c2ace3fac5d20fbddd0880a5ac263
+size 259056
diff --git a/results/train/hyperbola/problem_3262.png b/results/train/hyperbola/problem_3262.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca333a23d16fbc99c7e3abaf20845b7d66390379
--- /dev/null
+++ b/results/train/hyperbola/problem_3262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b29a044f61e0b8cc15132083351df1415bf860baa6a7f5853f1c36621bec952e
+size 269357
diff --git a/results/train/hyperbola/problem_3269.png b/results/train/hyperbola/problem_3269.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1e623a3b1a5de1138cd981e07b43c5c8d75c96c
--- /dev/null
+++ b/results/train/hyperbola/problem_3269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02bae2ebe88cc4affb9f906d23d95196b899da899b4084f40dbf21ea67dcc57c
+size 277735
diff --git a/results/train/hyperbola/problem_3270.png b/results/train/hyperbola/problem_3270.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddc8deaccdc0dcfb643235d45eb45336c3d22709
--- /dev/null
+++ b/results/train/hyperbola/problem_3270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffcd17fd9a12aa548ed50e4f99185b14d6ef31d11b2138095fa98b55239c1345
+size 254521
diff --git a/results/train/hyperbola/problem_3274.png b/results/train/hyperbola/problem_3274.png
new file mode 100644
index 0000000000000000000000000000000000000000..d76ca34586ed132b2ac233237753727e72b0d9a7
--- /dev/null
+++ b/results/train/hyperbola/problem_3274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:466d19b1343b3e4b4dadf727dc2e5e088e923e431e4f56a8e1d00e61b864f7c3
+size 278555
diff --git a/results/train/hyperbola/problem_3277.png b/results/train/hyperbola/problem_3277.png
new file mode 100644
index 0000000000000000000000000000000000000000..fabb76e43d86a72a03820ff9ba4ec24f4b20ad90
--- /dev/null
+++ b/results/train/hyperbola/problem_3277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c14e1de89b49d1547617dd031d233d361fa25f486f98d5556a5a231b6205cf2
+size 263171
diff --git a/results/train/hyperbola/problem_3278.png b/results/train/hyperbola/problem_3278.png
new file mode 100644
index 0000000000000000000000000000000000000000..c015edf06fb0ac7339f39aaf1eb0fb71fa904c4b
--- /dev/null
+++ b/results/train/hyperbola/problem_3278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d99a72c4d94178ff8fae2834deb3d4560c93fd4e3bd2f6c94d853886ea53f6e0
+size 258900
diff --git a/results/train/hyperbola/problem_3289.png b/results/train/hyperbola/problem_3289.png
new file mode 100644
index 0000000000000000000000000000000000000000..4efc622918d9aafb0a158aa185c2c8c1697773be
--- /dev/null
+++ b/results/train/hyperbola/problem_3289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5bd23bf8e2fdf888519d074d4bdf07cd8b4af91b82d35100ae656f7e7877572
+size 269413
diff --git a/results/train/hyperbola/problem_3293.png b/results/train/hyperbola/problem_3293.png
new file mode 100644
index 0000000000000000000000000000000000000000..8bc4569389051d28697b7e6ef083173804ffd3da
--- /dev/null
+++ b/results/train/hyperbola/problem_3293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb72f226a53caf041429b2f2157eca176701ab3a3932a14da66d8a0c9bc9fa64
+size 269439
diff --git a/results/train/hyperbola/problem_3296.png b/results/train/hyperbola/problem_3296.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eea2fce2f9f90e74fe7fbafb2aef16f152890b1
--- /dev/null
+++ b/results/train/hyperbola/problem_3296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7f6bd0c914a459d70268fea2296fbd0e471b61f38a1715e0e35e344fa47c979
+size 261820
diff --git a/results/train/hyperbola/problem_3298.png b/results/train/hyperbola/problem_3298.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a8c976c6972e86be6c292389d55964e99029679
--- /dev/null
+++ b/results/train/hyperbola/problem_3298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef44fbe6eb156d35dc295e6adaa226a30314f51dd2049181062013adf8af151f
+size 267754
diff --git a/results/train/hyperbola/problem_3306.png b/results/train/hyperbola/problem_3306.png
new file mode 100644
index 0000000000000000000000000000000000000000..80a4a76672be3c2eab617e74967d9355859c57d2
--- /dev/null
+++ b/results/train/hyperbola/problem_3306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:978290902852de8c95f4e82773b1968d04110e37f380ecf23e4fb7ef44a3a3e2
+size 267708
diff --git a/results/train/hyperbola/problem_3308.png b/results/train/hyperbola/problem_3308.png
new file mode 100644
index 0000000000000000000000000000000000000000..49f29b1fc639ce8e94fa95761eb3486cc544c1a0
--- /dev/null
+++ b/results/train/hyperbola/problem_3308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39f10747c004f8ec82ddfb745c1e34b837898ea04d44aef73acb960b0343748d
+size 259049
diff --git a/results/train/hyperbola/problem_3311.png b/results/train/hyperbola/problem_3311.png
new file mode 100644
index 0000000000000000000000000000000000000000..711b8ad2527f5daecf2c3a8a9274b12f389be0cf
--- /dev/null
+++ b/results/train/hyperbola/problem_3311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c76696571de99796d2408f1e35703ea609904e003618325bad3abca4ce1a3584
+size 237029
diff --git a/results/train/hyperbola/problem_3312.png b/results/train/hyperbola/problem_3312.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfdd22cb58c7a718e4d4f3d1c113ac536bd9710e
--- /dev/null
+++ b/results/train/hyperbola/problem_3312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e640961bd0d6d553d27e32c33f6b4535f918c85099752c5a039e60b5e85863a4
+size 252576
diff --git a/results/train/hyperbola/problem_3315.png b/results/train/hyperbola/problem_3315.png
new file mode 100644
index 0000000000000000000000000000000000000000..091312dd9d2612ccc7068aca28ebab8ec8085f32
--- /dev/null
+++ b/results/train/hyperbola/problem_3315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4c21167b169bb85f98ef118fec3e268cf95a5794ee1f938f6f0f5b8ba68c7e0
+size 253076
diff --git a/results/train/hyperbola/problem_3318.png b/results/train/hyperbola/problem_3318.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f54526353b648dcfe32b0f664f06f44ccc10c83
--- /dev/null
+++ b/results/train/hyperbola/problem_3318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b7c623b1728df58cf110456b1e5ba4fcba03f7fd9b4aa4ebb4f3eca55765275
+size 285498
diff --git a/results/train/hyperbola/problem_3320.png b/results/train/hyperbola/problem_3320.png
new file mode 100644
index 0000000000000000000000000000000000000000..80eb27c09f27d37b6117b4bf76e568c01e0730cf
--- /dev/null
+++ b/results/train/hyperbola/problem_3320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2492410c07a31c83da804ef9395917bc351977a41796dc2d330c2da68cdc611
+size 257342
diff --git a/results/train/hyperbola/problem_3321.png b/results/train/hyperbola/problem_3321.png
new file mode 100644
index 0000000000000000000000000000000000000000..816b11ce24bed8d1401f0fc0d4e270dd4eaea495
--- /dev/null
+++ b/results/train/hyperbola/problem_3321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3862f8c38d9a81ff25fe02d3f46d733eee4c86ce8e42c81500e6d21f061f24a4
+size 244791
diff --git a/results/train/hyperbola/problem_3324.png b/results/train/hyperbola/problem_3324.png
new file mode 100644
index 0000000000000000000000000000000000000000..433d033acf525c0de2db94c6e79ef396cf194e62
--- /dev/null
+++ b/results/train/hyperbola/problem_3324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42eeb651664a111e60d19dccfbabf523ecbf8cea8fed23b8744f850ed4ff754d
+size 236371
diff --git a/results/train/hyperbola/problem_3325.png b/results/train/hyperbola/problem_3325.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd9453febb23ebb814d67ae67ea712b418b28b75
--- /dev/null
+++ b/results/train/hyperbola/problem_3325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0d4b4ed040d4a0d22403934c86d5a92e908c9a379a9a9744d0d513cdcb0349e
+size 270017
diff --git a/results/train/hyperbola/problem_3328.png b/results/train/hyperbola/problem_3328.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef20c90e6693fbec0576bc5d1e602a9fa62ce9b2
--- /dev/null
+++ b/results/train/hyperbola/problem_3328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f00b29cf4ab143132688fac0a513102d4417a3ff6bf7fed9bddd9620b3b8bcc
+size 262929
diff --git a/results/train/hyperbola/problem_3342.png b/results/train/hyperbola/problem_3342.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b43582fd01fb58b10bcc9dab1d02fd8286ab5a5
--- /dev/null
+++ b/results/train/hyperbola/problem_3342.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4db3f90feb1c8ec6a766a4179053c32481ec66a743ab9b0169be7dd617c094e3
+size 255405
diff --git a/results/train/hyperbola/problem_3346.png b/results/train/hyperbola/problem_3346.png
new file mode 100644
index 0000000000000000000000000000000000000000..f003058bfbe6456b610713865bf5d3fb59030cb2
--- /dev/null
+++ b/results/train/hyperbola/problem_3346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2b24a5d5965a63b05c4f902f9f55612709ef8c982550448f23f28c2e97dc586
+size 275475
diff --git a/results/train/hyperbola/problem_3354.png b/results/train/hyperbola/problem_3354.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c0e7dc49704619a7a56cb8bf6e0c3a6ec5c44ca
--- /dev/null
+++ b/results/train/hyperbola/problem_3354.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7a185ca7789fa77a6f77572d6da1025142432135f7249d6f218db9c975306d0
+size 271733
diff --git a/results/train/hyperbola/problem_3357.png b/results/train/hyperbola/problem_3357.png
new file mode 100644
index 0000000000000000000000000000000000000000..95ebddbb5234fdbb698beafe6a5355564a53c132
--- /dev/null
+++ b/results/train/hyperbola/problem_3357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5000fa5c41866c8b6436fb9f0181d09f84ebb1124d6f61feacf2c45c7c026f0a
+size 268487
diff --git a/results/train/hyperbola/problem_3358.png b/results/train/hyperbola/problem_3358.png
new file mode 100644
index 0000000000000000000000000000000000000000..b054e109cdaf1243e7073b798abbb95a8a7ee7c1
--- /dev/null
+++ b/results/train/hyperbola/problem_3358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91e5f1ab4f91b32bad61469570843191a20fe5c5bf37c72b13a14de43e00eae7
+size 240872
diff --git a/results/train/hyperbola/problem_3365.png b/results/train/hyperbola/problem_3365.png
new file mode 100644
index 0000000000000000000000000000000000000000..b47d9093a051a4012a03403d8809cbe8042705ed
--- /dev/null
+++ b/results/train/hyperbola/problem_3365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75efb75dd24428e9c3f9194ed2537da50e0310a79f46a6b5e0652ad1eb7e73ad
+size 261636
diff --git a/results/train/hyperbola/problem_3367.png b/results/train/hyperbola/problem_3367.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe4eee3016a869efa871282821db22318be37240
--- /dev/null
+++ b/results/train/hyperbola/problem_3367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3391d92732733e5759bf0afa2ab78bfe4801456d3431267427d07aa928aaa7ec
+size 252058
diff --git a/results/train/hyperbola/problem_3371.png b/results/train/hyperbola/problem_3371.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae37437bfa0024ab6ba42bbe4cc108922b6f1f7a
--- /dev/null
+++ b/results/train/hyperbola/problem_3371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9ed76c19bebcb0176991e129125057f927a660e2237755629c4736ca98b92e5
+size 263211
diff --git a/results/train/hyperbola/problem_3376.png b/results/train/hyperbola/problem_3376.png
new file mode 100644
index 0000000000000000000000000000000000000000..94126ec5f058250d6348701d61bfd6ebf8344f25
--- /dev/null
+++ b/results/train/hyperbola/problem_3376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4cf754708f4982a50373742144aca828b37a2d22f5601c1fa59036217450875
+size 279204
diff --git a/results/train/hyperbola/problem_3379.png b/results/train/hyperbola/problem_3379.png
new file mode 100644
index 0000000000000000000000000000000000000000..375c4ec638de6a866016527b61af6767fb0ea12a
--- /dev/null
+++ b/results/train/hyperbola/problem_3379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6d96e6c7410a9d80afde4b5fa4dc183b5e35abe6a39dcd5a126fc46917bae28
+size 268431
diff --git a/results/train/hyperbola/problem_3383.png b/results/train/hyperbola/problem_3383.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d4aaef3c5c8bd7f279d70617f33d5859c6d3df3
--- /dev/null
+++ b/results/train/hyperbola/problem_3383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:086f8796942bd666f9d94e9143a9db042c1922830e06b8b755aead1e00b59b5f
+size 273169
diff --git a/results/train/hyperbola/problem_3384.png b/results/train/hyperbola/problem_3384.png
new file mode 100644
index 0000000000000000000000000000000000000000..8235c281bd5ac0f42114d77dde491f242c1c14c8
--- /dev/null
+++ b/results/train/hyperbola/problem_3384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40da28fd0cd1a2d365033afbd2942949ef6f48f31be8866ac99e2af1f7cfa95b
+size 272655
diff --git a/results/train/hyperbola/problem_3386.png b/results/train/hyperbola/problem_3386.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa7b1a8d20591c03f07bc0421543f02aaf2fa60b
--- /dev/null
+++ b/results/train/hyperbola/problem_3386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6dd4e5f9e2fe6726b7b0e7b9321757a623d04ae76bb4d5c316e8029ee9da4de1
+size 267605
diff --git a/results/train/hyperbola/problem_3391.png b/results/train/hyperbola/problem_3391.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4d88113febc68b394d50fd8930cdd06300c0bc2
--- /dev/null
+++ b/results/train/hyperbola/problem_3391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96ecfa44a59e1b63d52bf43555e72c34bcc2c8557e17b2c42ef9338b891fe93e
+size 268671
diff --git a/results/train/hyperbola/problem_3392.png b/results/train/hyperbola/problem_3392.png
new file mode 100644
index 0000000000000000000000000000000000000000..325de9d91960f429e088f672153f1491a1539501
--- /dev/null
+++ b/results/train/hyperbola/problem_3392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5458e82adfee4a14270b21faa753fc9ca03491ed7dfac45a16dbb1ca58f0e1ed
+size 255612
diff --git a/results/train/hyperbola/problem_3395.png b/results/train/hyperbola/problem_3395.png
new file mode 100644
index 0000000000000000000000000000000000000000..b994e67537b97d98203b42201a9a336989081c44
--- /dev/null
+++ b/results/train/hyperbola/problem_3395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2976bd144ad5dca561d9c8ad440badb1e227366a48421d0727f7592540e896cc
+size 324360
diff --git a/results/train/hyperbola/problem_3398.png b/results/train/hyperbola/problem_3398.png
new file mode 100644
index 0000000000000000000000000000000000000000..0289ea9b2064d7dcbc6b8ad8779bd31ad2f39bc9
--- /dev/null
+++ b/results/train/hyperbola/problem_3398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2fc61d8631118875aa1597c8ecd7cdcf84a72668136cbfbf3f7b88e3649a8d94
+size 272197
diff --git a/results/train/hyperbola/problem_3400.png b/results/train/hyperbola/problem_3400.png
new file mode 100644
index 0000000000000000000000000000000000000000..750d58896ab0f1beb0079cc0f6cc82c5b65c1730
--- /dev/null
+++ b/results/train/hyperbola/problem_3400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae21a6f2843025f32bdf0f5a92562f55aae2c200f2ebb9a07ae30bf86807bd5a
+size 259475
diff --git a/results/train/hyperbola/problem_3402.png b/results/train/hyperbola/problem_3402.png
new file mode 100644
index 0000000000000000000000000000000000000000..60d48572115789d376e4425950a02b041827ce6f
--- /dev/null
+++ b/results/train/hyperbola/problem_3402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82fe1470deba5303ee3c804a806af92e85d52becd87d9382d77d86374d24247e
+size 239107
diff --git a/results/train/hyperbola/problem_3412.png b/results/train/hyperbola/problem_3412.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c1340fb212dd6656aba4c3f44b2cc4d6366a2f2
--- /dev/null
+++ b/results/train/hyperbola/problem_3412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d369ac252cadcf31687f3234b7a2ea435f471f34443504d9d2b9417ef1b705f
+size 255088
diff --git a/results/train/hyperbola/problem_3414.png b/results/train/hyperbola/problem_3414.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b182bba669f283312a42a00ad73adc014abaff5
--- /dev/null
+++ b/results/train/hyperbola/problem_3414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a52ca8cb152c0f011a21af7f1eb0a820086a8c3c8af8f305705da230278bcf8
+size 268430
diff --git a/results/train/hyperbola/problem_3419.png b/results/train/hyperbola/problem_3419.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ef3c77afa3b385156480c33b0b8bc58453f4052
--- /dev/null
+++ b/results/train/hyperbola/problem_3419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27b89d3d47eb46e1c1545c7535beeacc92b858250b7cc0a17e95b15fdec41e26
+size 273487
diff --git a/results/train/hyperbola/problem_3424.png b/results/train/hyperbola/problem_3424.png
new file mode 100644
index 0000000000000000000000000000000000000000..18c93a960c62380a77262445a37f10bf91049db7
--- /dev/null
+++ b/results/train/hyperbola/problem_3424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c387879daed72fa68158d675a03d3f80c16e066adfb50420c5019533ed3bab4
+size 270692
diff --git a/results/train/hyperbola/problem_3428.png b/results/train/hyperbola/problem_3428.png
new file mode 100644
index 0000000000000000000000000000000000000000..209775262649d5c382479171fefb93f39ed1d302
--- /dev/null
+++ b/results/train/hyperbola/problem_3428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:091cc17f83cc774f79ff625f9c48677a4ec8d2ca13e76b78696b388631de4b2f
+size 253359
diff --git a/results/train/hyperbola/problem_3435.png b/results/train/hyperbola/problem_3435.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa8ca3b416ba61f507def927b0deaa6ff53e5c38
--- /dev/null
+++ b/results/train/hyperbola/problem_3435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b3f7ee197927435880933aac47130d55e2de9f9344c0bea49a6a3e4354a634f
+size 239575
diff --git a/results/train/hyperbola/problem_3436.png b/results/train/hyperbola/problem_3436.png
new file mode 100644
index 0000000000000000000000000000000000000000..3781ee276d074b71803534d35e37e49914851b92
--- /dev/null
+++ b/results/train/hyperbola/problem_3436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22674a9bd65e143089ea44051695f72e3d8baee8b1503e7ed35590e4a4f60230
+size 267978
diff --git a/results/train/hyperbola/problem_3449.png b/results/train/hyperbola/problem_3449.png
new file mode 100644
index 0000000000000000000000000000000000000000..b13ca20d0767e3e47c442c0eb3a661c5053b8f90
--- /dev/null
+++ b/results/train/hyperbola/problem_3449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d49caedb7adc914f4ece2b4abfee80d91aa634bbb09e277a3ecfacd9bd2a09e
+size 239861
diff --git a/results/train/hyperbola/problem_3451.png b/results/train/hyperbola/problem_3451.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6483761365e33cced99749aead0b6175f16b180
--- /dev/null
+++ b/results/train/hyperbola/problem_3451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b8181c9840664d4ec579ba11ff319a775fcfecbad42bff2d56097eb0b2b1db3
+size 274288
diff --git a/results/train/hyperbola/problem_3454.png b/results/train/hyperbola/problem_3454.png
new file mode 100644
index 0000000000000000000000000000000000000000..833f37db9702c5a9bb63bfaccb547efac15ba296
--- /dev/null
+++ b/results/train/hyperbola/problem_3454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a010006a2b044bbec00ed0401cc7cb167601c3b434dd249863356e05ed49927
+size 263293
diff --git a/results/train/hyperbola/problem_3456.png b/results/train/hyperbola/problem_3456.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e563079ed50d08e138fb3f70c0f04a87d4cce11
--- /dev/null
+++ b/results/train/hyperbola/problem_3456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:285d6c1cd97d0b9e12299a0d720d62fbb4adbec105bf7a2ef04f6eaee0e533ab
+size 261994
diff --git a/results/train/hyperbola/problem_3458.png b/results/train/hyperbola/problem_3458.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cb071b6e4a274abfd7970b4e8ea598dc31e182d
--- /dev/null
+++ b/results/train/hyperbola/problem_3458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eaad0d8103ce08c4aec5ddbb5091d28d78f5cacccc6b638430d90fd2028a86c0
+size 260578
diff --git a/results/train/hyperbola/problem_3462.png b/results/train/hyperbola/problem_3462.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff41da2c370e667d12df765b7b6533753cd2244c
--- /dev/null
+++ b/results/train/hyperbola/problem_3462.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:870b82a90374e71ab149859f277320f66717f7e913034063396b962ce91a039c
+size 278589
diff --git a/results/train/hyperbola/problem_3467.png b/results/train/hyperbola/problem_3467.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8467785b1a04a9e0e48045c45425e47108bcd60
--- /dev/null
+++ b/results/train/hyperbola/problem_3467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c28f89e9c783486079bfd6a49221bc859c1988abe2b94e1017dadfbbc2bc0c6b
+size 218262
diff --git a/results/train/hyperbola/problem_3474.png b/results/train/hyperbola/problem_3474.png
new file mode 100644
index 0000000000000000000000000000000000000000..2513e82c9d10fb3da564fc7b371570f5e6e7507c
--- /dev/null
+++ b/results/train/hyperbola/problem_3474.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f86f342542d5a6ae444186cdc87cebb832ad927f84944d0391efd7eaca7df0b7
+size 242696
diff --git a/results/train/hyperbola/problem_3476.png b/results/train/hyperbola/problem_3476.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d85e7ddbc7a8a7d51017b42b400250baa85520e
--- /dev/null
+++ b/results/train/hyperbola/problem_3476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19c0352a7f710347e229ec863a4196f2cbe0f54e0dc6201b9ee7e9bceeaa1882
+size 273702
diff --git a/results/train/hyperbola/problem_3478.png b/results/train/hyperbola/problem_3478.png
new file mode 100644
index 0000000000000000000000000000000000000000..817ea01a5a504726c39fd7bf9af2503a0cea9189
--- /dev/null
+++ b/results/train/hyperbola/problem_3478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f83cbae0599905f4c9bee7241dec4d1c02ec84d6c65007e241a4d38d3bb954d
+size 258675
diff --git a/results/train/hyperbola/problem_3480.png b/results/train/hyperbola/problem_3480.png
new file mode 100644
index 0000000000000000000000000000000000000000..44e44b1e9f9fe4eaaa68f5dee0e3c201f08fbcf6
--- /dev/null
+++ b/results/train/hyperbola/problem_3480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d3627b566a121a0881f82ed890981bac7a5270cab5b65b5dbf53020d2289f59
+size 252469
diff --git a/results/train/hyperbola/problem_3482.png b/results/train/hyperbola/problem_3482.png
new file mode 100644
index 0000000000000000000000000000000000000000..297b24313c3281d258964c218bef4beffdbeadb9
--- /dev/null
+++ b/results/train/hyperbola/problem_3482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:626ff2548fbda91f62fb8ebd8d9ff7d06216deca51aa5398415fc17cfe2800d9
+size 267566
diff --git a/results/train/hyperbola/problem_3484.png b/results/train/hyperbola/problem_3484.png
new file mode 100644
index 0000000000000000000000000000000000000000..77eed3d5270822fc9a933efb1fd4707a7e10b6f7
--- /dev/null
+++ b/results/train/hyperbola/problem_3484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:792ebe2933123b91c198c081b06835df98b4d423bbee734a3903c58e776025f0
+size 257620
diff --git a/results/train/hyperbola/problem_3491.png b/results/train/hyperbola/problem_3491.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfc0dff2fb73e9a7a9f5e75758376a740ae93d84
--- /dev/null
+++ b/results/train/hyperbola/problem_3491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8f3d72d1bc8c523fbdddbd0c6ae27c3a8c657d21216c19830ebdceec542aed8
+size 242279
diff --git a/results/train/hyperbola/problem_3492.png b/results/train/hyperbola/problem_3492.png
new file mode 100644
index 0000000000000000000000000000000000000000..10c79e3dc32a9f7945815ad4da04389dcbe8b0d9
--- /dev/null
+++ b/results/train/hyperbola/problem_3492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b2ce12ea47850e16b4aabcd4bf62acaad5c06ad8af75f51b672b266c0997e2f
+size 236110
diff --git a/results/train/hyperbola/problem_3496.png b/results/train/hyperbola/problem_3496.png
new file mode 100644
index 0000000000000000000000000000000000000000..72231a93a9ac1f06522bd9aec39df6680a52165d
--- /dev/null
+++ b/results/train/hyperbola/problem_3496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:519dbceba62a945ab8b3eb4ef3cefce7441fd7c39568f5f7f0ecb3a12e78ae2b
+size 244127
diff --git a/results/train/hyperbola/problem_3501.png b/results/train/hyperbola/problem_3501.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e5b0300935d0fe4ea01ea4f1359598146a2f2da
--- /dev/null
+++ b/results/train/hyperbola/problem_3501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47bf30ad97b5b17478f611b38e88acd3e73d72dd71b4152eba1de61181587690
+size 263798
diff --git a/results/train/hyperbola/problem_3502.png b/results/train/hyperbola/problem_3502.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9b5bce8e35aeb8deee1d0a32941283599c4e79f
--- /dev/null
+++ b/results/train/hyperbola/problem_3502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:607ed1a33e4a835555b7a2304be376f9c740640c068615c133bcb37daa4df271
+size 294852
diff --git a/results/train/hyperbola/problem_3514.png b/results/train/hyperbola/problem_3514.png
new file mode 100644
index 0000000000000000000000000000000000000000..5729990a069ebb323b509b56178b9febb7bfbbf0
--- /dev/null
+++ b/results/train/hyperbola/problem_3514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81f6058b37fcbdddde5d817c78ea2039aae4c01b29795da6f7bee623441f9394
+size 276488
diff --git a/results/train/hyperbola/problem_3521.png b/results/train/hyperbola/problem_3521.png
new file mode 100644
index 0000000000000000000000000000000000000000..7dee19b6d719ce8b194ac097caaba9a58e09bab8
--- /dev/null
+++ b/results/train/hyperbola/problem_3521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27cda1c805ac3d7af34ff3390325a9d697dc1b5a21dffaa93cc362a8317e1eae
+size 260138
diff --git a/results/train/hyperbola/problem_3535.png b/results/train/hyperbola/problem_3535.png
new file mode 100644
index 0000000000000000000000000000000000000000..0daec231e215e34e57acf93ae42fe2be2ef87c02
--- /dev/null
+++ b/results/train/hyperbola/problem_3535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fd0122f023589fef2209f3a42b7f0c995fa15a317655d00c49a55977d80f533
+size 258891
diff --git a/results/train/hyperbola/problem_3541.png b/results/train/hyperbola/problem_3541.png
new file mode 100644
index 0000000000000000000000000000000000000000..3826f5aa9175d87054b46c1f3fc68b3efd4841f4
--- /dev/null
+++ b/results/train/hyperbola/problem_3541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1eca9b40c445afe217d49e06ef4f53d7376e6707752a32a857dd20dd337973a2
+size 277393
diff --git a/results/train/hyperbola/problem_3542.png b/results/train/hyperbola/problem_3542.png
new file mode 100644
index 0000000000000000000000000000000000000000..4322c69d2240671b5536b2db3a0e23f325fa6ca3
--- /dev/null
+++ b/results/train/hyperbola/problem_3542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45d262bfb9f40fef7bf1ceebac506d4ac7cf9e32081298dc29748c8ef5696059
+size 271395
diff --git a/results/train/hyperbola/problem_3544.png b/results/train/hyperbola/problem_3544.png
new file mode 100644
index 0000000000000000000000000000000000000000..15eb4ab1b54fd6114456232e932627889a1fe77c
--- /dev/null
+++ b/results/train/hyperbola/problem_3544.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7afaabd7133df9b09241e36390572dccbb6b7b4469e8d7f942644f8906f043da
+size 261921
diff --git a/results/train/hyperbola/problem_3546.png b/results/train/hyperbola/problem_3546.png
new file mode 100644
index 0000000000000000000000000000000000000000..3060caecdc026f59c9329e8b0b7a8c9e40173aed
--- /dev/null
+++ b/results/train/hyperbola/problem_3546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00d146992c1d03b02141ec2b46e2082bcd9c6ba28c30cd69653f2f71952c3f8b
+size 260272
diff --git a/results/train/hyperbola/problem_3551.png b/results/train/hyperbola/problem_3551.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ca358d3b610e38c937710c7bfc199c79049e81f
--- /dev/null
+++ b/results/train/hyperbola/problem_3551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7e32b09475536bb0a677475482cecae8b73d760742820bb019b50f450066bf9
+size 249953
diff --git a/results/train/hyperbola/problem_3559.png b/results/train/hyperbola/problem_3559.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8003f4bf8c2734217e79b7c4c01ea55b4168212
--- /dev/null
+++ b/results/train/hyperbola/problem_3559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e550caabc1581ab664fa55cba0880567e46b5881a3b04ffa9f8e116a4de3b735
+size 239220
diff --git a/results/train/hyperbola/problem_3565.png b/results/train/hyperbola/problem_3565.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ef8bc5c2168b58488e018b23929c919af916cf8
--- /dev/null
+++ b/results/train/hyperbola/problem_3565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b31e86dc05dddddf566a27672413bcb693b78a5d06441be116c6697e53612e9e
+size 245824
diff --git a/results/train/hyperbola/problem_3574.png b/results/train/hyperbola/problem_3574.png
new file mode 100644
index 0000000000000000000000000000000000000000..cea818652eaed348883e08922f6dd0f66314a783
--- /dev/null
+++ b/results/train/hyperbola/problem_3574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74a67a161a1d41497d7c7c17c60c464c27ab5a8fbb80590e1429cd984912ffc7
+size 263911
diff --git a/results/train/hyperbola/problem_3576.png b/results/train/hyperbola/problem_3576.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c7bae9114ce8ccf44819282da3560f5c9220ed7
--- /dev/null
+++ b/results/train/hyperbola/problem_3576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea001169db8aaf7a489d0c0bcdc447a82b5621892058d9679fb369b5ee3ee9f2
+size 274265
diff --git a/results/train/hyperbola/problem_3578.png b/results/train/hyperbola/problem_3578.png
new file mode 100644
index 0000000000000000000000000000000000000000..412e7d17766e44ed2a7f999e28aab9103b843b57
--- /dev/null
+++ b/results/train/hyperbola/problem_3578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bdd3e48364a1890624da70bf2ee823620cc45f77fb894dae49b3a88c5f64e0e
+size 236403
diff --git a/results/train/hyperbola/problem_3580.png b/results/train/hyperbola/problem_3580.png
new file mode 100644
index 0000000000000000000000000000000000000000..b251292f71e67fa374b00c54d63c0a83dd9f97e1
--- /dev/null
+++ b/results/train/hyperbola/problem_3580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:542ed399bd0fe9ddd0a69db4d3dfcddc54e943ec830959d26e8f200d69a81d19
+size 272778
diff --git a/results/train/hyperbola/problem_3581.png b/results/train/hyperbola/problem_3581.png
new file mode 100644
index 0000000000000000000000000000000000000000..a19301d3852b8861534d064d5af3dcca7d8114b6
--- /dev/null
+++ b/results/train/hyperbola/problem_3581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e1731942d0d7542371342522da8dbb7d2a81a5fc6c03fb22082fb6d1523112f
+size 243901
diff --git a/results/train/hyperbola/problem_3584.png b/results/train/hyperbola/problem_3584.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9853d6aa678ac18b446548e0d6ad20caf1b0f8c
--- /dev/null
+++ b/results/train/hyperbola/problem_3584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8a3f59f5112a2253ff87455dec57867485da67f7b394b2bd03acecfb248b73d
+size 258424
diff --git a/results/train/hyperbola/problem_3586.png b/results/train/hyperbola/problem_3586.png
new file mode 100644
index 0000000000000000000000000000000000000000..64e64fd5abc771c69adfe758a7e81f34386294ca
--- /dev/null
+++ b/results/train/hyperbola/problem_3586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:357b5fce459cd2f50d13d32272ed4cb62db5c6ffbbcc9b3b7fbe81c5f05ecf57
+size 259577
diff --git a/results/train/hyperbola/problem_3588.png b/results/train/hyperbola/problem_3588.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5c115756d3f5740fa8aff976885ae2cd88a5215
--- /dev/null
+++ b/results/train/hyperbola/problem_3588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0104a07b936704376799e994f6e707efe7391853971b15f9c9f7033d9afa436
+size 238757
diff --git a/results/train/hyperbola/problem_3590.png b/results/train/hyperbola/problem_3590.png
new file mode 100644
index 0000000000000000000000000000000000000000..893078d403fadbfc1eeebfcf499cb8da513a06a1
--- /dev/null
+++ b/results/train/hyperbola/problem_3590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2faec63bd6eea06445626664f09ce1f13e3d6d5827658d6d2d4e1a164eb417b5
+size 263903
diff --git a/results/train/hyperbola/problem_3595.png b/results/train/hyperbola/problem_3595.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb87085f73a6e2d61adc255ca6961d1fdbc8ab79
--- /dev/null
+++ b/results/train/hyperbola/problem_3595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a52768a88ea0e2d977bd24ae7c7390568ff2d2a7552a846c49be30ac6cb0203
+size 263594
diff --git a/results/train/hyperbola/problem_3597.png b/results/train/hyperbola/problem_3597.png
new file mode 100644
index 0000000000000000000000000000000000000000..f43cf8662421db93a4646642b33b176577942cbd
--- /dev/null
+++ b/results/train/hyperbola/problem_3597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b3f15f8ae7f8190474c7337e3d7e9eeca6051103cf621e9d8540c7d9a7bab65
+size 255766
diff --git a/results/train/hyperbola/problem_3598.png b/results/train/hyperbola/problem_3598.png
new file mode 100644
index 0000000000000000000000000000000000000000..83f3dac76aa5d5b81b66ea0fdea1666a2b5f7dde
--- /dev/null
+++ b/results/train/hyperbola/problem_3598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:418270c8e8057a5c3293a5476da0b92d36a79f6aebf9a677af071e6636818a49
+size 247496
diff --git a/results/train/hyperbola/problem_3599.png b/results/train/hyperbola/problem_3599.png
new file mode 100644
index 0000000000000000000000000000000000000000..1565027c604a665aa13fb5589772798851343364
--- /dev/null
+++ b/results/train/hyperbola/problem_3599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5c11d2d12a749f67f7f57cccf34ad8616ddd40b7cdcf1ba5d72a78c783546fd
+size 257504
diff --git a/results/train/hyperbola/problem_3602.png b/results/train/hyperbola/problem_3602.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bb3a3cfdeb5b5584781b2cdc6c2c0a79eab7e9b
--- /dev/null
+++ b/results/train/hyperbola/problem_3602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2060bc7fe64e53984a755b7b84b359f2030a03796d40edd5232adf75ddb9dd3f
+size 263595
diff --git a/results/train/hyperbola/problem_3607.png b/results/train/hyperbola/problem_3607.png
new file mode 100644
index 0000000000000000000000000000000000000000..d61b0801c5abc185f40e72a2bc071dedafa88c02
--- /dev/null
+++ b/results/train/hyperbola/problem_3607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a91ac9a33a9e8d0bbfd12fc1125d3042bf94a1fa6aae2cc02ae2030c0eebb353
+size 269068
diff --git a/results/train/hyperbola/problem_3611.png b/results/train/hyperbola/problem_3611.png
new file mode 100644
index 0000000000000000000000000000000000000000..b81bf7250aee47d8894223e1eada25ec6a642e65
--- /dev/null
+++ b/results/train/hyperbola/problem_3611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a990bcbc4a53cbd8ef5d7767c39a7e49b8b2aa9e8af8c4ef75b66671a8a01ebb
+size 278171
diff --git a/results/train/hyperbola/problem_3614.png b/results/train/hyperbola/problem_3614.png
new file mode 100644
index 0000000000000000000000000000000000000000..88dfad3ebbfa1acd81426a6ea375dabe4539225c
--- /dev/null
+++ b/results/train/hyperbola/problem_3614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f2acf72e032f0ed0a04a17687ba85858993ae46252deff785de2ff949019321
+size 243214
diff --git a/results/train/hyperbola/problem_3615.png b/results/train/hyperbola/problem_3615.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e248a22e32d4e58d3b319f3838234d28c2e6bdf
--- /dev/null
+++ b/results/train/hyperbola/problem_3615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6c650eba6ad058a22835d4595fa847f40727cd5c432ffd21a8703a529d078f2
+size 258457
diff --git a/results/train/hyperbola/problem_3616.png b/results/train/hyperbola/problem_3616.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dcaca97aafbaf11a59810f0b2c0a0aa493deaec
--- /dev/null
+++ b/results/train/hyperbola/problem_3616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5afb11897bb848e0dfd99cebf56d504256f2c0cebe06e3b1c8c0d99df80147b5
+size 273521
diff --git a/results/train/hyperbola/problem_3617.png b/results/train/hyperbola/problem_3617.png
new file mode 100644
index 0000000000000000000000000000000000000000..033bbb4117e8713573d0a2735ad4bac813a8d57e
--- /dev/null
+++ b/results/train/hyperbola/problem_3617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00f81edf585798036d6d15139adb4e8f45eadfe506b92fa5c7db8783096f646c
+size 243389
diff --git a/results/train/hyperbola/problem_3618.png b/results/train/hyperbola/problem_3618.png
new file mode 100644
index 0000000000000000000000000000000000000000..620f623c92cb360dcfbffa645bcecc2246c7a075
--- /dev/null
+++ b/results/train/hyperbola/problem_3618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e115bc8e93e96996098ee0827d250a20d02ec3258692e243a78f242fb85e39b8
+size 269090
diff --git a/results/train/hyperbola/problem_3622.png b/results/train/hyperbola/problem_3622.png
new file mode 100644
index 0000000000000000000000000000000000000000..dca0bb61f07f4e4a2e14693a92c81b8d5ea12ca7
--- /dev/null
+++ b/results/train/hyperbola/problem_3622.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1451f63d8c103da06a18542ed7f293e1ed598dc645dcec37aa9c81a2ac346bea
+size 260419
diff --git a/results/train/hyperbola/problem_3623.png b/results/train/hyperbola/problem_3623.png
new file mode 100644
index 0000000000000000000000000000000000000000..a219db393ec009fd9025524b69b1dcf05e6a467b
--- /dev/null
+++ b/results/train/hyperbola/problem_3623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a95fb7eb336238f381e909ecc626043fc1e53ddac1691daa62b2e5f7ff4f6ecd
+size 260352
diff --git a/results/train/hyperbola/problem_3624.png b/results/train/hyperbola/problem_3624.png
new file mode 100644
index 0000000000000000000000000000000000000000..30088f48fa17defac710d91c7b43311d57e032c6
--- /dev/null
+++ b/results/train/hyperbola/problem_3624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a529945af18e696044ebc5d1c19c219d1005353cb099f2b9e35d3e4af6621035
+size 232882
diff --git a/results/train/hyperbola/problem_3626.png b/results/train/hyperbola/problem_3626.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fced8d434c8b93370af9d8cd6d2d8f98f182fce
--- /dev/null
+++ b/results/train/hyperbola/problem_3626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c6910582bfa3f1cb657a7618563db417ab058e9c376d4fc62de851d4ca025dc
+size 254310
diff --git a/results/train/hyperbola/problem_3630.png b/results/train/hyperbola/problem_3630.png
new file mode 100644
index 0000000000000000000000000000000000000000..9076f840be942e5fd35d12e3c2d14ae46ddefe01
--- /dev/null
+++ b/results/train/hyperbola/problem_3630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9089b7acad928fd7985798fd732f3661d14ce0770101f4e2614a63c21c732a79
+size 263971
diff --git a/results/train/hyperbola/problem_3631.png b/results/train/hyperbola/problem_3631.png
new file mode 100644
index 0000000000000000000000000000000000000000..60551579d520df8da9f826d9a3b7ff489b9b72bd
--- /dev/null
+++ b/results/train/hyperbola/problem_3631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11aa37c5ca8a26401223e4685ec365afbbcc95f759d2db5b3cf9f4fcfd281ac1
+size 264647
diff --git a/results/train/hyperbola/problem_3633.png b/results/train/hyperbola/problem_3633.png
new file mode 100644
index 0000000000000000000000000000000000000000..b44944b4dbb7628acbc71960904bc168df7e7fbe
--- /dev/null
+++ b/results/train/hyperbola/problem_3633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42a0e7800a893db0690f2a3c8a97a3ba756aedba0d70cd850b673ff779472eed
+size 267597
diff --git a/results/train/hyperbola/problem_3635.png b/results/train/hyperbola/problem_3635.png
new file mode 100644
index 0000000000000000000000000000000000000000..19023983519338d8504f563b1c3f1f5e38f3ed20
--- /dev/null
+++ b/results/train/hyperbola/problem_3635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48958d904c264c485dd1b19b1bf0fa482d28a302bb257f860e5ff265c5912a0b
+size 275782
diff --git a/results/train/hyperbola/problem_3636.png b/results/train/hyperbola/problem_3636.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed308d16025d9c40d333f3db41d7f5c99b547ad4
--- /dev/null
+++ b/results/train/hyperbola/problem_3636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a1c3f5c1fcf26c2a640bd9f3d5fec876351112b88286c49307b88e86c26fdcb
+size 277900
diff --git a/results/train/hyperbola/problem_3639.png b/results/train/hyperbola/problem_3639.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a587d45f2b17ce6c14ee75b46def669432ccfab
--- /dev/null
+++ b/results/train/hyperbola/problem_3639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:095cb8ed1af1cff8f5c6147ff37d881bca4fda776784a39aaf3d09086d07e7c8
+size 281830
diff --git a/results/train/hyperbola/problem_3642.png b/results/train/hyperbola/problem_3642.png
new file mode 100644
index 0000000000000000000000000000000000000000..6905b72bd087aa5af9317cfa160471239f1bb808
--- /dev/null
+++ b/results/train/hyperbola/problem_3642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bfc09e7512e4e9c93aadc596b532b1d89ac267058427aa81b56c8eafc0e8d78
+size 275987
diff --git a/results/train/hyperbola/problem_3643.png b/results/train/hyperbola/problem_3643.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b09fcbc4cbc94210d7f92116612f2ea099467e5
--- /dev/null
+++ b/results/train/hyperbola/problem_3643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f063f3ff7bca8e86c5c36c71a723bf23a9e7a19a30ab2092c450300cabe1d184
+size 272256
diff --git a/results/train/hyperbola/problem_3647.png b/results/train/hyperbola/problem_3647.png
new file mode 100644
index 0000000000000000000000000000000000000000..57c455f44488689e420ada698dcfb4ca6d7dc8df
--- /dev/null
+++ b/results/train/hyperbola/problem_3647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2100b8c7e01d944dd8c0632b054cb2c09f70f2258f5223d942c490a5bc9015a3
+size 255013
diff --git a/results/train/hyperbola/problem_3659.png b/results/train/hyperbola/problem_3659.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe4d93e55ce6f75e705edb6507e1474095df579d
--- /dev/null
+++ b/results/train/hyperbola/problem_3659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75247f82eb04935c187bdfc934614910d3681eca3998466a12a09db988410163
+size 255049
diff --git a/results/train/hyperbola/problem_3663.png b/results/train/hyperbola/problem_3663.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b8d336eafa857427ca370b683658a88018d9017
--- /dev/null
+++ b/results/train/hyperbola/problem_3663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21a80cb3c7330e07c5c9b6741f696e9172dec274570ad8cb9a8ae5aa6792975c
+size 268668
diff --git a/results/train/hyperbola/problem_3665.png b/results/train/hyperbola/problem_3665.png
new file mode 100644
index 0000000000000000000000000000000000000000..14581736fc44f0253816725f052ac6af16449067
--- /dev/null
+++ b/results/train/hyperbola/problem_3665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df8d06dddf325036d982e59fdce9916cd4286bc629c6252e683ea77e62be6e7d
+size 264483
diff --git a/results/train/hyperbola/problem_3666.png b/results/train/hyperbola/problem_3666.png
new file mode 100644
index 0000000000000000000000000000000000000000..2539cb1a8737028e9d2840840321e68c3f44e59b
--- /dev/null
+++ b/results/train/hyperbola/problem_3666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d1da75a6de8b9a643fb710cd1860aedc342c6b4a09eaa7cb4b52b49dfebffc7
+size 274352
diff --git a/results/train/hyperbola/problem_3673.png b/results/train/hyperbola/problem_3673.png
new file mode 100644
index 0000000000000000000000000000000000000000..a328be7ce38584545f4ee0c27c2edcafb820db77
--- /dev/null
+++ b/results/train/hyperbola/problem_3673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc3d5104f7fab61729f0530d2ab707943cc4fe73677bd26313cf8df2aa4971f5
+size 241844
diff --git a/results/train/hyperbola/problem_3684.png b/results/train/hyperbola/problem_3684.png
new file mode 100644
index 0000000000000000000000000000000000000000..16d6746f337a3bb1eab2add86f0f3112fccf500c
--- /dev/null
+++ b/results/train/hyperbola/problem_3684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e1d0134099942359451706e2421eb710a7db3249758fb1fdc5f0ab35ccb0e2b
+size 275300
diff --git a/results/train/hyperbola/problem_3685.png b/results/train/hyperbola/problem_3685.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a355f6aa23ca92d306000d55736290db9c91b54
--- /dev/null
+++ b/results/train/hyperbola/problem_3685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2089b9adda8da7ab40fe8410eb4c4f9bf772426702c99fccf6878c92c6ba0fae
+size 243218
diff --git a/results/train/hyperbola/problem_3688.png b/results/train/hyperbola/problem_3688.png
new file mode 100644
index 0000000000000000000000000000000000000000..02dec59202eb0982b34bdced4f732921a490163f
--- /dev/null
+++ b/results/train/hyperbola/problem_3688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:225a29a127e2574e73a010c8e28aba5edaf7a436eb2baa52caf57ba3395ec783
+size 275645
diff --git a/results/train/hyperbola/problem_3694.png b/results/train/hyperbola/problem_3694.png
new file mode 100644
index 0000000000000000000000000000000000000000..12adb2653f15736a5adddff04c7e633f370f252b
--- /dev/null
+++ b/results/train/hyperbola/problem_3694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f63851f1d5beb0dc55db510fd7cc63609a45504739cafffc90431f925933d96c
+size 270264
diff --git a/results/train/hyperbola/problem_3695.png b/results/train/hyperbola/problem_3695.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac37e495eb836906228aa25256d31916805defb8
--- /dev/null
+++ b/results/train/hyperbola/problem_3695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:747a334a462c6f0ffeaa4d1d918dcf2cf3fa6eddee5f9092706c9746b0bfde5f
+size 287046
diff --git a/results/train/hyperbola/problem_3697.png b/results/train/hyperbola/problem_3697.png
new file mode 100644
index 0000000000000000000000000000000000000000..1513c644d74e95834ed5fc1d9ca272b399616de3
--- /dev/null
+++ b/results/train/hyperbola/problem_3697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff9fed4e9b62593631a7793aa9e448fea21f9c8d596761928b822fbe64a881af
+size 272099
diff --git a/results/train/hyperbola/problem_3700.png b/results/train/hyperbola/problem_3700.png
new file mode 100644
index 0000000000000000000000000000000000000000..72d55556e7e85bef385efd8868e0a7c77912c26c
--- /dev/null
+++ b/results/train/hyperbola/problem_3700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a6eb678369555d402390c7b1153fb2f42539fcc4f376c736b4e43836866cb08
+size 259003
diff --git a/results/train/hyperbola/problem_3703.png b/results/train/hyperbola/problem_3703.png
new file mode 100644
index 0000000000000000000000000000000000000000..e702cebfcb74df2b518ac8d0a300da4e95136bce
--- /dev/null
+++ b/results/train/hyperbola/problem_3703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9b01d6ba5622fd0112f717bd7fa74a6989b03786d4cdd55472fb0894b5e6098
+size 256608
diff --git a/results/train/hyperbola/problem_3705.png b/results/train/hyperbola/problem_3705.png
new file mode 100644
index 0000000000000000000000000000000000000000..66f45468946b3f46b7acfda5aa6e734015b64de8
--- /dev/null
+++ b/results/train/hyperbola/problem_3705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1282c41820e400732bd01f6ef31d0528bedb0e845b3c320675dcda74227c92e
+size 261302
diff --git a/results/train/hyperbola/problem_3707.png b/results/train/hyperbola/problem_3707.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7b0675cf49f23b7202a564a84ebb5cba48b3ee1
--- /dev/null
+++ b/results/train/hyperbola/problem_3707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b02851839a41ca2e9cb8013269599ab79788b4e937b631bb06b1e6ae1addfcd
+size 258091
diff --git a/results/train/hyperbola/problem_3710.png b/results/train/hyperbola/problem_3710.png
new file mode 100644
index 0000000000000000000000000000000000000000..1bbb50709be4dc17609f79eba4b8310271330838
--- /dev/null
+++ b/results/train/hyperbola/problem_3710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb2d6ad6e4b3086be17759c4bbd7f8ea1219c3e113e17f4a47cc3e9b2a73d688
+size 259703
diff --git a/results/train/hyperbola/problem_3713.png b/results/train/hyperbola/problem_3713.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c02ccaea9b10f9ba6878b7835fae318cc64e07c
--- /dev/null
+++ b/results/train/hyperbola/problem_3713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62d82e4293ec4b88c49e18eca85e9e2bfb2aeeb57f2af51e37fac8a552a63035
+size 255891
diff --git a/results/train/hyperbola/problem_3721.png b/results/train/hyperbola/problem_3721.png
new file mode 100644
index 0000000000000000000000000000000000000000..afec7d5d617aea73493eaf8c0bdc4bccdd6fa354
--- /dev/null
+++ b/results/train/hyperbola/problem_3721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ceb7fd493fb664594559697bd9c85145ba98901f937594f44db28cc243f688e4
+size 249192
diff --git a/results/train/hyperbola/problem_3723.png b/results/train/hyperbola/problem_3723.png
new file mode 100644
index 0000000000000000000000000000000000000000..c48fd8ec542bc5db47ad5942ad661c656a8af735
--- /dev/null
+++ b/results/train/hyperbola/problem_3723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb792ccc67dda301e1d2f00ac358d20759507f02d5199b79969a8769bb865a3c
+size 314838
diff --git a/results/train/hyperbola/problem_3724.png b/results/train/hyperbola/problem_3724.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b9c2a7e9f9f8761ccecafd4e90a32cf00f027f6
--- /dev/null
+++ b/results/train/hyperbola/problem_3724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a675bfe52563a111d4f8526894c06cd2770b497b15fe4cc172d244e6192dfb5f
+size 274203
diff --git a/results/train/hyperbola/problem_3729.png b/results/train/hyperbola/problem_3729.png
new file mode 100644
index 0000000000000000000000000000000000000000..86dcd3fe7e372c2ff25c4a155461dc877d04c3ba
--- /dev/null
+++ b/results/train/hyperbola/problem_3729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01afaaffe28ac6fd61f8bb300555cbb499814eeace9da64607a5e0008a0f4a49
+size 262056
diff --git a/results/train/hyperbola/problem_3731.png b/results/train/hyperbola/problem_3731.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8f2cd46142a07d92edb32e6759179537f1a84d9
--- /dev/null
+++ b/results/train/hyperbola/problem_3731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fc14029b8f58f94ae94125e29444c9c46cf54256bdf1303b48e8b74a85e5bf7
+size 272196
diff --git a/results/train/hyperbola/problem_3734.png b/results/train/hyperbola/problem_3734.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e17d7bd0b471fd444dd680a367027b525fbe17d
--- /dev/null
+++ b/results/train/hyperbola/problem_3734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7afb01bdbb8171dfee729a907394354c2dfdec92e4d1c0f1111bef995a3fb9f0
+size 273520
diff --git a/results/train/hyperbola/problem_3738.png b/results/train/hyperbola/problem_3738.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f766d22dc385002f564ac5783952cb27c744709
--- /dev/null
+++ b/results/train/hyperbola/problem_3738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:029af4b9534c1d60c20d317e6411b7687fbc1ce525b79f02d47d0732b375af83
+size 270223
diff --git a/results/train/hyperbola/problem_3741.png b/results/train/hyperbola/problem_3741.png
new file mode 100644
index 0000000000000000000000000000000000000000..34936522e81732af736818165299136b074f9ad6
--- /dev/null
+++ b/results/train/hyperbola/problem_3741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c06a6563a6277e8b356a24e49cb5c2d412c2c3f7db15144a9a13277b42fbb462
+size 266225
diff --git a/results/train/hyperbola/problem_3746.png b/results/train/hyperbola/problem_3746.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c9aaa8ad4ec2cdc4a961b470df2783c5376e08f
--- /dev/null
+++ b/results/train/hyperbola/problem_3746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42ca313aefe9e14f27e72a8f64aeeea67d951971e64af6822020ceda29cc73a3
+size 270494
diff --git a/results/train/hyperbola/problem_3757.png b/results/train/hyperbola/problem_3757.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a6c8f0eafe26c0dd32ddb4a0830aba1fe56a8af
--- /dev/null
+++ b/results/train/hyperbola/problem_3757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b025e7e0abfaf71f1e03a905163fc0bc9f6ed6f8e305ed03eb9dcaf6d3ad3e5d
+size 225284
diff --git a/results/train/hyperbola/problem_3759.png b/results/train/hyperbola/problem_3759.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc2d6fa0f735569a71fe2820e5e1c5993b195f10
--- /dev/null
+++ b/results/train/hyperbola/problem_3759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67b175a952f7933a7ab0b2fe992fc45e9589ba1804bede18ec045e00839fbd49
+size 251021
diff --git a/results/train/hyperbola/problem_3761.png b/results/train/hyperbola/problem_3761.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c013ea5bfa5113fe16c55e775ad598f74f52ed6
--- /dev/null
+++ b/results/train/hyperbola/problem_3761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f78d48e16038b9bcffeb3c0127fae0d4ea5b584bd48eceb29e74bf04f067f21
+size 242315
diff --git a/results/train/hyperbola/problem_3763.png b/results/train/hyperbola/problem_3763.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6115aaec8e5dbee3813385e86f60c44cf3bdb20
--- /dev/null
+++ b/results/train/hyperbola/problem_3763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47c83118c50929f513b6cca85abf25784a25733c44470c9ca426c20e91970e65
+size 264361
diff --git a/results/train/hyperbola/problem_3765.png b/results/train/hyperbola/problem_3765.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a6b60d8e10ad84bdaba073bd604799e06f3752e
--- /dev/null
+++ b/results/train/hyperbola/problem_3765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df6b00de818907fa921cd2c10bfa1cfe78978faa9b1499eb02fb33973a42a0f2
+size 255225
diff --git a/results/train/hyperbola/problem_3766.png b/results/train/hyperbola/problem_3766.png
new file mode 100644
index 0000000000000000000000000000000000000000..6aeeb3bfaef4e27f6ca638e7b51a03137e7174dd
--- /dev/null
+++ b/results/train/hyperbola/problem_3766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46485529b5d64afbb9f5a46710fa8a524ea61b9d0eb21064f70e66c08412ed68
+size 256313
diff --git a/results/train/hyperbola/problem_3767.png b/results/train/hyperbola/problem_3767.png
new file mode 100644
index 0000000000000000000000000000000000000000..23ce6eecf7d420b25ff4b47bf7f320144b2e8f4d
--- /dev/null
+++ b/results/train/hyperbola/problem_3767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c58d57f00689691e22bfd5f5101254a6133e3ef58f4bd7027ab9738b12de9f7
+size 285752
diff --git a/results/train/hyperbola/problem_3768.png b/results/train/hyperbola/problem_3768.png
new file mode 100644
index 0000000000000000000000000000000000000000..be7bd9ee569a23f1ebe6adce76852a4aad3891b3
--- /dev/null
+++ b/results/train/hyperbola/problem_3768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfaca69a028a60db7ce0121f905b12b025a5ce13875c4a639dca918b160cd275
+size 259541
diff --git a/results/train/hyperbola/problem_3772.png b/results/train/hyperbola/problem_3772.png
new file mode 100644
index 0000000000000000000000000000000000000000..6330d7a7ef8e5296492ab5e918811f0efdc8cbd2
--- /dev/null
+++ b/results/train/hyperbola/problem_3772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:100edd1ca1f2bdc268d30ace647b6e2e0ebc416e768159b1ddf72f5909ed11f0
+size 269308
diff --git a/results/train/hyperbola/problem_3774.png b/results/train/hyperbola/problem_3774.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1a91c320b2f044756bc569b36deeb3975ea16fc
--- /dev/null
+++ b/results/train/hyperbola/problem_3774.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9b7601bcf1ebff7152cace30c79d06ffaef8b0617071e919c96612f5e39fe5a
+size 260162
diff --git a/results/train/hyperbola/problem_3775.png b/results/train/hyperbola/problem_3775.png
new file mode 100644
index 0000000000000000000000000000000000000000..03d5345d0e6ff86513de92c28d0e18bb5004ae8b
--- /dev/null
+++ b/results/train/hyperbola/problem_3775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aded0961cc77feb5e2a4d7910d4c7b366209490e515e6a0ab899e99dec92996c
+size 237927
diff --git a/results/train/hyperbola/problem_3779.png b/results/train/hyperbola/problem_3779.png
new file mode 100644
index 0000000000000000000000000000000000000000..646b6be0f0de12efe4e61213c7c434e89dceab12
--- /dev/null
+++ b/results/train/hyperbola/problem_3779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:441e73754e36f2babca60ddeec101127f0f41b55466b6189562a5a323e4490ef
+size 257706
diff --git a/results/train/hyperbola/problem_3783.png b/results/train/hyperbola/problem_3783.png
new file mode 100644
index 0000000000000000000000000000000000000000..650db63be7d0a9d1b9444a58a3f5071b0463e3e5
--- /dev/null
+++ b/results/train/hyperbola/problem_3783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff2ce69a171b07501e18b58cf0bd51d42a21ea1ac58f067bf7880939fb9460f3
+size 269214
diff --git a/results/train/hyperbola/problem_3787.png b/results/train/hyperbola/problem_3787.png
new file mode 100644
index 0000000000000000000000000000000000000000..30e14c37f359ec103d8b3cf1aa2b43581ff4049c
--- /dev/null
+++ b/results/train/hyperbola/problem_3787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebe4ec55a2d645628ec910b117519b7dd1fa967ce55acde6fdc5b5498405816d
+size 267208
diff --git a/results/train/hyperbola/problem_3790.png b/results/train/hyperbola/problem_3790.png
new file mode 100644
index 0000000000000000000000000000000000000000..011e8cb79bce3da66602fab543f37b0574cae85a
--- /dev/null
+++ b/results/train/hyperbola/problem_3790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8986a37cb8e307c75ea24783fc86832209a6db5512da50d98ed5d5f10c901f84
+size 264253
diff --git a/results/train/hyperbola/problem_3795.png b/results/train/hyperbola/problem_3795.png
new file mode 100644
index 0000000000000000000000000000000000000000..89f03f6c3c5479e8b585bed67c1b9039b737b0bd
--- /dev/null
+++ b/results/train/hyperbola/problem_3795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:773a98726f6b26b6f3f7e7103580e5a573b3ce5aaab842a19e8436ded41b1b39
+size 235611
diff --git a/results/train/hyperbola/problem_3798.png b/results/train/hyperbola/problem_3798.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f9739a9fe7bb5ce2e6613050582dc2966bc0518
--- /dev/null
+++ b/results/train/hyperbola/problem_3798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0ec1d05e5103517f26779b28a71438b0416967a5a7a0339a829fa0143305be4
+size 267797
diff --git a/results/train/hyperbola/problem_3805.png b/results/train/hyperbola/problem_3805.png
new file mode 100644
index 0000000000000000000000000000000000000000..27036bb2d01fe1c5883d0601e1e206641df69079
--- /dev/null
+++ b/results/train/hyperbola/problem_3805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a26f923679b470a1a0c162f74a296c8bf8525b61399114b5cd869e15e3d687fd
+size 290088
diff --git a/results/train/hyperbola/problem_3807.png b/results/train/hyperbola/problem_3807.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d902db1bb9dbd4176a1afc3a6fbbbb047bb1c19
--- /dev/null
+++ b/results/train/hyperbola/problem_3807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:506b6b93ba9069a76cafb2889f036779c6cd843b6fd40a1635aeaecbc14b4aff
+size 256726
diff --git a/results/train/hyperbola/problem_3813.png b/results/train/hyperbola/problem_3813.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a7e3b0bda6c5ba89ea54748149ab009c78cdaec
--- /dev/null
+++ b/results/train/hyperbola/problem_3813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae3f8b344d4680ed3d11d802eb5df918e941dc0617b0e39dac48c4e6c9e3eae9
+size 296149
diff --git a/results/train/hyperbola/problem_3815.png b/results/train/hyperbola/problem_3815.png
new file mode 100644
index 0000000000000000000000000000000000000000..239822acdad1c1813ad73ac248314a6818cb3786
--- /dev/null
+++ b/results/train/hyperbola/problem_3815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:435e1e911d93981388e587de3ea9cb6a3cd749754b78a858500660d30c587eec
+size 256458
diff --git a/results/train/hyperbola/problem_3818.png b/results/train/hyperbola/problem_3818.png
new file mode 100644
index 0000000000000000000000000000000000000000..edc474953a74742a0b641b261788fc39b5da3e4f
--- /dev/null
+++ b/results/train/hyperbola/problem_3818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5104c3778251c048192713a87bf16c4c3104de35a341c38ff59c61c556ab5283
+size 254799
diff --git a/results/train/hyperbola/problem_3819.png b/results/train/hyperbola/problem_3819.png
new file mode 100644
index 0000000000000000000000000000000000000000..07f5ab259dde41eaac9c899be3f7e3724ca36e57
--- /dev/null
+++ b/results/train/hyperbola/problem_3819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55b034af54216f700ae63a01ed11d61de682ee9d91075f57a4f605386edd067b
+size 263935
diff --git a/results/train/hyperbola/problem_3822.png b/results/train/hyperbola/problem_3822.png
new file mode 100644
index 0000000000000000000000000000000000000000..46257961359eb838161fddbf3e480baf33fda65f
--- /dev/null
+++ b/results/train/hyperbola/problem_3822.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92f32b0f21fdce84c4db8b8d08b9add69d1f8965927994e8b70b8de45e2eeb4a
+size 294307
diff --git a/results/train/hyperbola/problem_3828.png b/results/train/hyperbola/problem_3828.png
new file mode 100644
index 0000000000000000000000000000000000000000..31547b72af3b4aa66cf56091fab561c8b6335a8b
--- /dev/null
+++ b/results/train/hyperbola/problem_3828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:829dad14399cae95457db3d4235e05345ab3c03d372d30b1c942eb6ba282f6ae
+size 264958
diff --git a/results/train/hyperbola/problem_3830.png b/results/train/hyperbola/problem_3830.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb7939246bce7f1c738c20393d598ffb853b1fee
--- /dev/null
+++ b/results/train/hyperbola/problem_3830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5184409ca456186179c14da30aab906c0524e2dbc0932bfd7477af5c51dfed79
+size 286121
diff --git a/results/train/hyperbola/problem_3834.png b/results/train/hyperbola/problem_3834.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e7f2da7bd48c80d220851a7c421e57fc4f59d42
--- /dev/null
+++ b/results/train/hyperbola/problem_3834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96d05d23ec5d35c54a34bc24f97f5360a9bdd00140b6b418321ecdafa08c6d7c
+size 230084
diff --git a/results/train/hyperbola/problem_3835.png b/results/train/hyperbola/problem_3835.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6150ecb4e98211d43198bae03095e85996cb893
--- /dev/null
+++ b/results/train/hyperbola/problem_3835.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b7c44a8b90444c6224cc26c4c49bc3af860cb2a72ae71a3badffb53da2125ff
+size 223461
diff --git a/results/train/hyperbola/problem_3836.png b/results/train/hyperbola/problem_3836.png
new file mode 100644
index 0000000000000000000000000000000000000000..e640e2995f2c2544b0435001064b18a8e97aebcc
--- /dev/null
+++ b/results/train/hyperbola/problem_3836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bc7ffe9c50b16b167c59a34e9f6fa0fc4150c24f2e88d13279f9ba93c617b80
+size 266863
diff --git a/results/train/hyperbola/problem_3838.png b/results/train/hyperbola/problem_3838.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2cb3591c3f08c0bc7878601ba6bbae8c8f973bc
--- /dev/null
+++ b/results/train/hyperbola/problem_3838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65b15771e9937a9b5369b22f62242152a28f10c37a99d1043a637cb17dd2d4ef
+size 273068
diff --git a/results/train/hyperbola/problem_3840.png b/results/train/hyperbola/problem_3840.png
new file mode 100644
index 0000000000000000000000000000000000000000..e235029187d321a345838a49f06c349a25e66568
--- /dev/null
+++ b/results/train/hyperbola/problem_3840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2bdfab58f8aabe349e7be41abd824262dc67b9173ae7585c0eb0b02b4f8df49
+size 259445
diff --git a/results/train/hyperbola/problem_3846.png b/results/train/hyperbola/problem_3846.png
new file mode 100644
index 0000000000000000000000000000000000000000..566597b65aeacabfd4e317e79ce88fa549386533
--- /dev/null
+++ b/results/train/hyperbola/problem_3846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df4bf370c78c0627c5789ee21a330c7bb077bfc14f346fa51368145e3ffdc1ac
+size 243542
diff --git a/results/train/hyperbola/problem_3847.png b/results/train/hyperbola/problem_3847.png
new file mode 100644
index 0000000000000000000000000000000000000000..7819222fa93846a809d9a6d52d8868081b76c9d8
--- /dev/null
+++ b/results/train/hyperbola/problem_3847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75d873deac800eac8764f64ce7602b30e54ab930c9131f16b39376d068e2eb74
+size 266606
diff --git a/results/train/hyperbola/problem_3852.png b/results/train/hyperbola/problem_3852.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a1372a7f99163de2c64f26083a09d7849791a19
--- /dev/null
+++ b/results/train/hyperbola/problem_3852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a40798ea333282ff84318e38e0d0f333c93473fc642fa24b9a50fe6f2c1de9b2
+size 270986
diff --git a/results/train/hyperbola/problem_3856.png b/results/train/hyperbola/problem_3856.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d7849950baa6cf4dc4ff51f0d67643e5a414091
--- /dev/null
+++ b/results/train/hyperbola/problem_3856.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e33e4786b1caacb8fb4619c8d316cf4caccabdc2dc6a79a9b0169cdb8dc5cf86
+size 265971
diff --git a/results/train/hyperbola/problem_3860.png b/results/train/hyperbola/problem_3860.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2fcbbfe749f93e4692626dc4bc9e8f94da762d9
--- /dev/null
+++ b/results/train/hyperbola/problem_3860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e68093abc0315f9abc43245ace2df3288b94a459a4b52a1934c29cd8e032b90
+size 270491
diff --git a/results/train/hyperbola/problem_3867.png b/results/train/hyperbola/problem_3867.png
new file mode 100644
index 0000000000000000000000000000000000000000..283b74d8181b844895c573f50f06a5023a27a39b
--- /dev/null
+++ b/results/train/hyperbola/problem_3867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa104cd8f65f610ee284ca990b76d2f16667af0a69cce64e258083fa78b78252
+size 271486
diff --git a/results/train/hyperbola/problem_3870.png b/results/train/hyperbola/problem_3870.png
new file mode 100644
index 0000000000000000000000000000000000000000..374d77a683c186f60727b11a2933f85f7866225e
--- /dev/null
+++ b/results/train/hyperbola/problem_3870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cbec40b060afbfffa8de04d6bbb676c676d70a8310887b023c0a56082c923d0
+size 264870
diff --git a/results/train/hyperbola/problem_3874.png b/results/train/hyperbola/problem_3874.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d73f45fa28dcafa119bccafc6f43cde6947fdd7
--- /dev/null
+++ b/results/train/hyperbola/problem_3874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4e5099aec08458842484ae87ac91083abb0d19c704181acab1d3e9dae7e4a50
+size 278511
diff --git a/results/train/hyperbola/problem_3884.png b/results/train/hyperbola/problem_3884.png
new file mode 100644
index 0000000000000000000000000000000000000000..7693283c17ca141e7877c5d3cb909d58c0a70186
--- /dev/null
+++ b/results/train/hyperbola/problem_3884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e588489e326170174a4fd5558fde4125406b97c3d6f90fa2c15b4b0cd5a1a14
+size 255675
diff --git a/results/train/hyperbola/problem_3886.png b/results/train/hyperbola/problem_3886.png
new file mode 100644
index 0000000000000000000000000000000000000000..23a0257cde893c4a42ef7ecbb7d3a2f07e0b22de
--- /dev/null
+++ b/results/train/hyperbola/problem_3886.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f5d2f76fa33b26da4ba17c2b738c77aa759f57f66f15ee72231184f591a3998
+size 308604
diff --git a/results/train/hyperbola/problem_3893.png b/results/train/hyperbola/problem_3893.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1c1539779726ed20b3ad149a50def91b335c5cf
--- /dev/null
+++ b/results/train/hyperbola/problem_3893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c451909039ff575d236ec3753e46a3a5d9d3543b807cd10ffcf2d6eba833644f
+size 268527
diff --git a/results/train/hyperbola/problem_3898.png b/results/train/hyperbola/problem_3898.png
new file mode 100644
index 0000000000000000000000000000000000000000..855496d43089ddac373faa18e92a57749d64ed78
--- /dev/null
+++ b/results/train/hyperbola/problem_3898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25c0c665880c6241fe195d6119075b221154584170304eb7fa1c621437531bfa
+size 253573
diff --git a/results/train/hyperbola/problem_3903.png b/results/train/hyperbola/problem_3903.png
new file mode 100644
index 0000000000000000000000000000000000000000..877d6969bce901969d36b0a86c8b0792ae9b6d30
--- /dev/null
+++ b/results/train/hyperbola/problem_3903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f1f2c73aadd3185dd98bb834426b9b5472217b15f29ef457750d4aba609436a
+size 252000
diff --git a/results/train/hyperbola/problem_3911.png b/results/train/hyperbola/problem_3911.png
new file mode 100644
index 0000000000000000000000000000000000000000..2195c69906733cec71a0906e77881f53ecd1b81e
--- /dev/null
+++ b/results/train/hyperbola/problem_3911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93afd08d3885f3561441c798da98cbf034c09ff560f69a87f0890ca6e456c208
+size 270090
diff --git a/results/train/hyperbola/problem_3914.png b/results/train/hyperbola/problem_3914.png
new file mode 100644
index 0000000000000000000000000000000000000000..8446dd7fe30155e87e1dd9395dd4c2cabf058809
--- /dev/null
+++ b/results/train/hyperbola/problem_3914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74bde79aec5b453ae62a06e35bb7934a74528cda7ac4999489fcb4bfd840d177
+size 285034
diff --git a/results/train/hyperbola/problem_3915.png b/results/train/hyperbola/problem_3915.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef329c4ff3f0532997f03acf8f9f517b8c50a707
--- /dev/null
+++ b/results/train/hyperbola/problem_3915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:072c4e7569f9d6ca295d3e7c3e16553a98c373ac6f2ff47a46d8e748a2773ff2
+size 270166
diff --git a/results/train/hyperbola/problem_3916.png b/results/train/hyperbola/problem_3916.png
new file mode 100644
index 0000000000000000000000000000000000000000..6af96fee24192e608a491c37de767edc4084030e
--- /dev/null
+++ b/results/train/hyperbola/problem_3916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0e8cda57f66a7be2f457ef7aabbd3fe0134e1dc3787bdd297a67ae746a817ed
+size 278517
diff --git a/results/train/hyperbola/problem_3918.png b/results/train/hyperbola/problem_3918.png
new file mode 100644
index 0000000000000000000000000000000000000000..309955edf75042c576c64d485ed6077f7073f5bb
--- /dev/null
+++ b/results/train/hyperbola/problem_3918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0532ec373ef4237c3d27fc4f7359384d8c5d92e5c68f7fefdcbcfaa23000fc3
+size 251548
diff --git a/results/train/hyperbola/problem_3919.png b/results/train/hyperbola/problem_3919.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f8a19cd1535fe73d36fdf55338b722e7ec43511
--- /dev/null
+++ b/results/train/hyperbola/problem_3919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e71d88e254a9d8484c02d9c914cb52b6b760ed616dc8e801ad6fef7a1acc0835
+size 244097
diff --git a/results/train/hyperbola/problem_3928.png b/results/train/hyperbola/problem_3928.png
new file mode 100644
index 0000000000000000000000000000000000000000..cec52b4ced896ad89641f6e4b9304470d74da790
--- /dev/null
+++ b/results/train/hyperbola/problem_3928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b41ad767a33de671ebbc6b982c9372f64a789f78d84b531ff11a10a2a7e53a2
+size 264346
diff --git a/results/train/hyperbola/problem_3932.png b/results/train/hyperbola/problem_3932.png
new file mode 100644
index 0000000000000000000000000000000000000000..400a566c26522429270c5f0ffd3d535b0453f53d
--- /dev/null
+++ b/results/train/hyperbola/problem_3932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:650c6507394c17c25a1fbf6d6d4c5fb2e4078cbb875a71441c7db308188c5ce1
+size 250755
diff --git a/results/train/hyperbola/problem_3933.png b/results/train/hyperbola/problem_3933.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3f6e733fdc86848ac97a53119d6d89906658304
--- /dev/null
+++ b/results/train/hyperbola/problem_3933.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a2b47b81febbda5deef327659694d40a9065f29750f1c723e28441233014626
+size 277121
diff --git a/results/train/hyperbola/problem_3936.png b/results/train/hyperbola/problem_3936.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcb19b33bd5a499bd0f2218c189ac8fddb659e0f
--- /dev/null
+++ b/results/train/hyperbola/problem_3936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28a33aa3890e5dfb3a4670b428aacda74a83570cbf10ad16bf77dd4e68f3f25e
+size 259475
diff --git a/results/train/hyperbola/problem_3938.png b/results/train/hyperbola/problem_3938.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7527720f9c8cf74379df1e0563ee39c6def6d78
--- /dev/null
+++ b/results/train/hyperbola/problem_3938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:237c53e4f803b8fd7f0614667dd8422f2991aff4932c1013731a806699c3af07
+size 282285
diff --git a/results/train/hyperbola/problem_3940.png b/results/train/hyperbola/problem_3940.png
new file mode 100644
index 0000000000000000000000000000000000000000..4eb5e099904e56b966a913322fdfdf2c46b41e1b
--- /dev/null
+++ b/results/train/hyperbola/problem_3940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a55d57c33cb12653709bdeae4613e8d4d48c62874f5620fee182a86da99789ef
+size 273280
diff --git a/results/train/hyperbola/problem_3945.png b/results/train/hyperbola/problem_3945.png
new file mode 100644
index 0000000000000000000000000000000000000000..fef54481bf79691d0fb76646b344efa2e5269727
--- /dev/null
+++ b/results/train/hyperbola/problem_3945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbbd47b08679c87bde4f6e1f33b326d303ded689e46f5b6603d6fdaf4cfd5303
+size 273707
diff --git a/results/train/hyperbola/problem_3946.png b/results/train/hyperbola/problem_3946.png
new file mode 100644
index 0000000000000000000000000000000000000000..65202ca2bc2af6733069f33caddb66e4fa0b1c73
--- /dev/null
+++ b/results/train/hyperbola/problem_3946.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8766d7c99dad61c6c70f9bfe50cc2cd69724301f7912b0339913b789c315150f
+size 259196
diff --git a/results/train/hyperbola/problem_3947.png b/results/train/hyperbola/problem_3947.png
new file mode 100644
index 0000000000000000000000000000000000000000..f54508ded080884cb578898605ba921739e8271b
--- /dev/null
+++ b/results/train/hyperbola/problem_3947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f03c5f39b6d6df3656242f4ad4e709d98826bdd2bdf5b1fcfdd0c079d29308f
+size 269311
diff --git a/results/train/hyperbola/problem_3950.png b/results/train/hyperbola/problem_3950.png
new file mode 100644
index 0000000000000000000000000000000000000000..08e7f0261496728c2df9e92b5688b2dd269a80fb
--- /dev/null
+++ b/results/train/hyperbola/problem_3950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:200d490b0d77e6b713ec15f2dd2d018955d1cdb79b48678f5717c645d1c9ddf8
+size 259304
diff --git a/results/train/hyperbola/problem_3955.png b/results/train/hyperbola/problem_3955.png
new file mode 100644
index 0000000000000000000000000000000000000000..472243bd7d0866fa8abc9db7332faaceee6cd07f
--- /dev/null
+++ b/results/train/hyperbola/problem_3955.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c4ee18db93a8898dfc544fef2abff15ffef42d40ff8e1b807b00d5c7934b623
+size 275642
diff --git a/results/train/hyperbola/problem_3958.png b/results/train/hyperbola/problem_3958.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d1e73380f0b041941e8963bf4d8aa09f6b2975f
--- /dev/null
+++ b/results/train/hyperbola/problem_3958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27ec533c24fe7917ff84bfdd74a6589c58f548b5710f9a8e3ab730a34ff4a7b0
+size 266824
diff --git a/results/train/hyperbola/problem_3959.png b/results/train/hyperbola/problem_3959.png
new file mode 100644
index 0000000000000000000000000000000000000000..8763db8be723f82197f5d73996d447ceca052e8e
--- /dev/null
+++ b/results/train/hyperbola/problem_3959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a81cd3866928a9ab6fd0addc6d4693dca74c05f4d1606cb1d53609d3ed266b64
+size 269120
diff --git a/results/train/hyperbola/problem_3964.png b/results/train/hyperbola/problem_3964.png
new file mode 100644
index 0000000000000000000000000000000000000000..50035d2654e98c56e4421caf4afb16357aad5f91
--- /dev/null
+++ b/results/train/hyperbola/problem_3964.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3905fab469e2877242884cb3f12d26ce5803d19aebef25ad9f6d1e0e5aa5196
+size 290754
diff --git a/results/train/hyperbola/problem_3966.png b/results/train/hyperbola/problem_3966.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ab7ea005fada5195219bfe72dd557a8e02976d9
--- /dev/null
+++ b/results/train/hyperbola/problem_3966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee02c28ea92c8cf5a7ac5dbd52e385a5e12020e6617d5e7fda6ebd829184f370
+size 283528
diff --git a/results/train/hyperbola/problem_3980.png b/results/train/hyperbola/problem_3980.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a8bb7f965771f7d370212db8556d2a49fed9974
--- /dev/null
+++ b/results/train/hyperbola/problem_3980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4853627b9b6c6e027f0d0eaa1b414724fe11d0633bbff5ce929e6113e8b64a00
+size 241422
diff --git a/results/train/hyperbola/problem_3981.png b/results/train/hyperbola/problem_3981.png
new file mode 100644
index 0000000000000000000000000000000000000000..375c309ffdadde4279972fd78e9a0593bc7fae97
--- /dev/null
+++ b/results/train/hyperbola/problem_3981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:781eaeaf9f4baf383e2c53636bc6a293cea58434d44b242339c722cd59c669db
+size 241643
diff --git a/results/train/hyperbola/problem_3986.png b/results/train/hyperbola/problem_3986.png
new file mode 100644
index 0000000000000000000000000000000000000000..de49a313c44a39939233cb51ee3f02a491fadc94
--- /dev/null
+++ b/results/train/hyperbola/problem_3986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6619c2af0e1958f47fe762d68fb0ea13d9194fe72bcdb9ea30ad12c5352ecd59
+size 258041
diff --git a/results/train/hyperbola/problem_3987.png b/results/train/hyperbola/problem_3987.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b3018962eaf3d64771f3ebc2717083119c58e78
--- /dev/null
+++ b/results/train/hyperbola/problem_3987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46e66e5cd50a9c523bb4d7feabc72e60f2296029ee64452a2bd74deb78cf1c25
+size 267211
diff --git a/results/train/hyperbola/problem_3991.png b/results/train/hyperbola/problem_3991.png
new file mode 100644
index 0000000000000000000000000000000000000000..61088d59135eb879913e244784a63233b1f6ecff
--- /dev/null
+++ b/results/train/hyperbola/problem_3991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24b3628f5cc2bb0ee8fff61c7dcd772abf584db741879d253d7fbada5722b80c
+size 267309
diff --git a/results/train/hyperbola/problem_3993.png b/results/train/hyperbola/problem_3993.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd37fd2751b345f3c2dd685496021d03fed6ddcc
--- /dev/null
+++ b/results/train/hyperbola/problem_3993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:970f27774a1dd526933e4e635e68cdf12fbae57617a7bb8897a1f04d7d7f7bd6
+size 271111
diff --git a/results/train/hyperbola/problem_3999.png b/results/train/hyperbola/problem_3999.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab17003e30820106863504eb2edd1c0f7cede9a6
--- /dev/null
+++ b/results/train/hyperbola/problem_3999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:526a14703f143a6cd32a6fa1c160ef421ce8c246f92c7ccac3cbd28239bbbbbd
+size 258553
diff --git a/results/train/hyperbola/problem_4001.png b/results/train/hyperbola/problem_4001.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b468cae4273847ef4acf4d7ed487cd4e1570beb
--- /dev/null
+++ b/results/train/hyperbola/problem_4001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fb5f9aa20ba5bfdcd34578e63453d388d29463bc37bde7dde100bb4888df6f4
+size 268092
diff --git a/results/train/hyperbola/problem_4002.png b/results/train/hyperbola/problem_4002.png
new file mode 100644
index 0000000000000000000000000000000000000000..09a14ebe5e6045b9fdee5adc01f82f1d93746643
--- /dev/null
+++ b/results/train/hyperbola/problem_4002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c8a58ff1fa3fdf2644c34c62ebb690b4592937ecb58e9eab9eaef63e62a735a
+size 279912
diff --git a/results/train/hyperbola/problem_4009.png b/results/train/hyperbola/problem_4009.png
new file mode 100644
index 0000000000000000000000000000000000000000..090aaf0d6a93a476a3095d844386872e57063e1e
--- /dev/null
+++ b/results/train/hyperbola/problem_4009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23cf435ceda1650dcc6e0b6a95483ac859ddd0f8127218e4e90405aad1d2fa24
+size 259327
diff --git a/results/train/hyperbola/problem_4010.png b/results/train/hyperbola/problem_4010.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e0a44c447104a6b3239ae77eaa70a107c30988d
--- /dev/null
+++ b/results/train/hyperbola/problem_4010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b087419788460dd4cd528c55ed7127310a14140f3876a24b45890264f6c12ad
+size 279333
diff --git a/results/train/hyperbola/problem_4012.png b/results/train/hyperbola/problem_4012.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9dfc7c899b2374d1cc6bb436a0263e75164ae3a
--- /dev/null
+++ b/results/train/hyperbola/problem_4012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a9381c0f5c6bd91f6514d4c8ded061848e0d61dcd059d308c7d32e678ccb715
+size 260989
diff --git a/results/train/hyperbola/problem_4014.png b/results/train/hyperbola/problem_4014.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f6700ccaa590ac89e4c76ebc3ceb9355d7b743f
--- /dev/null
+++ b/results/train/hyperbola/problem_4014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4741080ccb226e19a7fcca754fa817e470813b19988be88ff9f775f1720e6e9
+size 262031
diff --git a/results/train/hyperbola/problem_4015.png b/results/train/hyperbola/problem_4015.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7a1ac264f560643f0b3fb2bcf2798dfb981c761
--- /dev/null
+++ b/results/train/hyperbola/problem_4015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e35b02a4e11d86595c4e45ced8dc863044a32965c7933cb806163783a9337557
+size 278788
diff --git a/results/train/hyperbola/problem_4017.png b/results/train/hyperbola/problem_4017.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a086840da5eef19b561423f8cca63b2ef178dbf
--- /dev/null
+++ b/results/train/hyperbola/problem_4017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67c90fe293540813d70fbde1416c575719a60b1104134845c276eb31780ae658
+size 262358
diff --git a/results/train/hyperbola/problem_4032.png b/results/train/hyperbola/problem_4032.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4398668608afb0f2ea1b7455c29b97865089618
--- /dev/null
+++ b/results/train/hyperbola/problem_4032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5366c7245788daed362f19744f7d00774b6815494621b0e3a48541797ccb981d
+size 254968
diff --git a/results/train/hyperbola/problem_4033.png b/results/train/hyperbola/problem_4033.png
new file mode 100644
index 0000000000000000000000000000000000000000..0490c962cbee4fc719eb43974c20d533afd038e4
--- /dev/null
+++ b/results/train/hyperbola/problem_4033.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6db36fd1ebcc5e1f599cf1b15bc80a02c13fd958085234074b4c056c1f51b60
+size 251423
diff --git a/results/train/hyperbola/problem_4034.png b/results/train/hyperbola/problem_4034.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5615fcb68eda720294e759b7a202dcd0fcd5590
--- /dev/null
+++ b/results/train/hyperbola/problem_4034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7da3dd82fe9bb5d7a98a30eb604def161a55582c91e39c25fb0c1031dfefee68
+size 257216
diff --git a/results/train/hyperbola/problem_4037.png b/results/train/hyperbola/problem_4037.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9bad2a52ff5852393a4c6e1f5f701aec69db574
--- /dev/null
+++ b/results/train/hyperbola/problem_4037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edd423445a31fca8b7ae821447dd7586e3c495f423d0c1685d7dab7a1d38677b
+size 286517
diff --git a/results/train/hyperbola/problem_4038.png b/results/train/hyperbola/problem_4038.png
new file mode 100644
index 0000000000000000000000000000000000000000..79d5d2544d61441827ca47da2df257398e55e5ca
--- /dev/null
+++ b/results/train/hyperbola/problem_4038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4fe77f34b254fae1af0f8fa58b6782a075502a6452eafa394880205b831bf15
+size 294758
diff --git a/results/train/hyperbola/problem_4040.png b/results/train/hyperbola/problem_4040.png
new file mode 100644
index 0000000000000000000000000000000000000000..7937128562e7447e3524078e00f79fb169181caf
--- /dev/null
+++ b/results/train/hyperbola/problem_4040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2dca633b82e13682a6b66f81d00461def1405f90cadcc89f0bc1ce0335ade02e
+size 254747
diff --git a/results/train/hyperbola/problem_4042.png b/results/train/hyperbola/problem_4042.png
new file mode 100644
index 0000000000000000000000000000000000000000..842fc7d44aaa4a058d648d57c7e3125f3251606d
--- /dev/null
+++ b/results/train/hyperbola/problem_4042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f561c64103a3d956ca6b399667fbbabb84197bf998a873e973a92c642e56a652
+size 248058
diff --git a/results/train/hyperbola/problem_4051.png b/results/train/hyperbola/problem_4051.png
new file mode 100644
index 0000000000000000000000000000000000000000..d87bf6f1a80560e15d640b0f8a6848f29cd53b78
--- /dev/null
+++ b/results/train/hyperbola/problem_4051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:433251c765d9254f1b350737d53c306fee01d261087a2e6656b591da24749399
+size 242384
diff --git a/results/train/hyperbola/problem_4057.png b/results/train/hyperbola/problem_4057.png
new file mode 100644
index 0000000000000000000000000000000000000000..780d731f5258947a2a2dffb58f93cf5352bbd161
--- /dev/null
+++ b/results/train/hyperbola/problem_4057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e26cea3a69bfc30b777f9705537baa163e504a103932e7e317f81a09c07a419a
+size 271016
diff --git a/results/train/hyperbola/problem_4059.png b/results/train/hyperbola/problem_4059.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6f03d147c54e1ebd144c8bae6686e8419d5eda9
--- /dev/null
+++ b/results/train/hyperbola/problem_4059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:081fd30bc32f6a853409eaca2bc8a9f2a4f6de8f6507982eea32dac69e3b635e
+size 266142
diff --git a/results/train/hyperbola/problem_4063.png b/results/train/hyperbola/problem_4063.png
new file mode 100644
index 0000000000000000000000000000000000000000..332627994b2e9630413c3452d629bcadee11901d
--- /dev/null
+++ b/results/train/hyperbola/problem_4063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83fdf37ee546c3abfad094406aa7b27f11bbf7cca31ddbd4efb6caca01e0061e
+size 257464
diff --git a/results/train/hyperbola/problem_4069.png b/results/train/hyperbola/problem_4069.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c3bad820cada505a467d70920c898956ec0bbe5
--- /dev/null
+++ b/results/train/hyperbola/problem_4069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08dac838981ab2279fd35c0f3a33b9b6b1ab10771b8fd02554bc5e5d3e4ec004
+size 278545
diff --git a/results/train/hyperbola/problem_4074.png b/results/train/hyperbola/problem_4074.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fe224ed4623f5523a4740a844cc377f19caa3f4
--- /dev/null
+++ b/results/train/hyperbola/problem_4074.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:193d5d10c763309b64f51e4953681d15a38b43caad4ca20bae36cd88df5f8d7c
+size 266171
diff --git a/results/train/hyperbola/problem_4081.png b/results/train/hyperbola/problem_4081.png
new file mode 100644
index 0000000000000000000000000000000000000000..437cdf5e45b0230b3c84233ab7a5f380e6e36e52
--- /dev/null
+++ b/results/train/hyperbola/problem_4081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e5ee62a535b7de24f34a0840e7854ad80e92eca5aac1eec6bf233fa0bd5b963
+size 258424
diff --git a/results/train/hyperbola/problem_4082.png b/results/train/hyperbola/problem_4082.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba76a3098a77ac5b38c38f177b812a60a7180bac
--- /dev/null
+++ b/results/train/hyperbola/problem_4082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acb345286df044ad1f798463b00c16afd548fbab7eb4e388dda2d0007b12aee8
+size 287012
diff --git a/results/train/hyperbola/problem_4083.png b/results/train/hyperbola/problem_4083.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c8603dfb82f30dddcdf2d88af328d3065265a3c
--- /dev/null
+++ b/results/train/hyperbola/problem_4083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a24d2fb7d410296d94844357ab1fe4c743f03a3905b74ca46e956bb879e3649b
+size 267808
diff --git a/results/train/hyperbola/problem_4084.png b/results/train/hyperbola/problem_4084.png
new file mode 100644
index 0000000000000000000000000000000000000000..81536e69ab0fafc20ff7dcd60ad45b01217a04fc
--- /dev/null
+++ b/results/train/hyperbola/problem_4084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:667c48128248385de3db744aade1e0b5f19b9c68f9059093d87db7360542b58b
+size 261648
diff --git a/results/train/hyperbola/problem_4086.png b/results/train/hyperbola/problem_4086.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3bda66c809c0495bc11f93d984758304310f49b
--- /dev/null
+++ b/results/train/hyperbola/problem_4086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b19d85d00b4188d9edbb498fe1790934b450a4de74659efe78fb18d250fe4230
+size 258172
diff --git a/results/train/hyperbola/problem_4099.png b/results/train/hyperbola/problem_4099.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f6129b60518e9a296ddba7516d30adabfa8d97c
--- /dev/null
+++ b/results/train/hyperbola/problem_4099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f0ec92e204350df718aae21e1bb500b0e11a622391ae94c881b2742760dfcce
+size 255550
diff --git a/results/train/hyperbola/problem_4100.png b/results/train/hyperbola/problem_4100.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8eb22cc67ec7c7235159e3967f091cb8d6039a4
--- /dev/null
+++ b/results/train/hyperbola/problem_4100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cbdeb625f73f609104ce7c101a9d4136e38f2516eb5812668c65cbc4ffd437c
+size 277557
diff --git a/results/train/hyperbola/problem_4111.png b/results/train/hyperbola/problem_4111.png
new file mode 100644
index 0000000000000000000000000000000000000000..d55c4dd9b40a1dc71d685d1d64fbe49881aac423
--- /dev/null
+++ b/results/train/hyperbola/problem_4111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ee4cb3ceda441fe611865da46de96f332f064fd24b9dcf0092f7fb0d73d7de3
+size 267634
diff --git a/results/train/hyperbola/problem_4117.png b/results/train/hyperbola/problem_4117.png
new file mode 100644
index 0000000000000000000000000000000000000000..25023afa209c85233c03523a3c9d5b00d2e18058
--- /dev/null
+++ b/results/train/hyperbola/problem_4117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a33dbba71bc482e27717e8073d127da1f2c1909848ab2b91de07f6a64feda569
+size 264354
diff --git a/results/train/hyperbola/problem_4120.png b/results/train/hyperbola/problem_4120.png
new file mode 100644
index 0000000000000000000000000000000000000000..47ebd5b4971fc08985b503a55cb8ca7b885c94f4
--- /dev/null
+++ b/results/train/hyperbola/problem_4120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b2d319aed1846a57fed943a3a2b60a660325541aafc25560bfb003248493fda
+size 261092
diff --git a/results/train/hyperbola/problem_4128.png b/results/train/hyperbola/problem_4128.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ade0a6d6409cad920257c113a70dc7eb678e4c4
--- /dev/null
+++ b/results/train/hyperbola/problem_4128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84602b7189c24c61393ae8c752640b45a1bb39ad6a58365619b3a6b0d95511f4
+size 260372
diff --git a/results/train/hyperbola/problem_4132.png b/results/train/hyperbola/problem_4132.png
new file mode 100644
index 0000000000000000000000000000000000000000..2688fcd09dd72febff9dd6022e252457602271ff
--- /dev/null
+++ b/results/train/hyperbola/problem_4132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1dfd231edd01d554f6649f230f6400e4d4f4531030dbdc510744d8d986493f1
+size 266615
diff --git a/results/train/hyperbola/problem_4136.png b/results/train/hyperbola/problem_4136.png
new file mode 100644
index 0000000000000000000000000000000000000000..9768b46084adff062ff82b9ec0425cdea9c6e30b
--- /dev/null
+++ b/results/train/hyperbola/problem_4136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14ebc5c9b0c61fc7d65a9c2cf10c29a59c41e8aec391032d4ab67a3567cb551d
+size 239603
diff --git a/results/train/hyperbola/problem_4137.png b/results/train/hyperbola/problem_4137.png
new file mode 100644
index 0000000000000000000000000000000000000000..4aebec6303cd07d7a797aed13d9b4c9ce1d89599
--- /dev/null
+++ b/results/train/hyperbola/problem_4137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b363499c7aee3a4263384ca99b824e1232225c351413e2461f43bb92b5a12111
+size 271923
diff --git a/results/train/hyperbola/problem_4141.png b/results/train/hyperbola/problem_4141.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb9de15c9ce628f4d8915d82fd0746a6affcc041
--- /dev/null
+++ b/results/train/hyperbola/problem_4141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be971f9288a9e82dfe9033d83c2f121302224919f7a87cabdf9b55fd9eaacef1
+size 264934
diff --git a/results/train/hyperbola/problem_4148.png b/results/train/hyperbola/problem_4148.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd9266e8b5fbe4396ca9582d57c9e43dfd063da0
--- /dev/null
+++ b/results/train/hyperbola/problem_4148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9189d7213104f33beeb101dedf76c024532247f6f2996c9582b1d700d38b55b0
+size 238176
diff --git a/results/train/hyperbola/problem_4156.png b/results/train/hyperbola/problem_4156.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c211cecb3f6d3579ede3ab7ccf3ad893687df34
--- /dev/null
+++ b/results/train/hyperbola/problem_4156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b277a82374b5c5ba8a938e477b9f932ec5d4a915c62908e87d1b44623c36db2e
+size 266458
diff --git a/results/train/hyperbola/problem_4158.png b/results/train/hyperbola/problem_4158.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec267049095f31e0757cc39b282f5dccd1b09d20
--- /dev/null
+++ b/results/train/hyperbola/problem_4158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57ce12915a7062a92ffedbcbfec4d3e00aa2a12f69601837d940991198226185
+size 266007
diff --git a/results/train/hyperbola/problem_4166.png b/results/train/hyperbola/problem_4166.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c1326439bce22a0e94b88bffbdc128a4659de20
--- /dev/null
+++ b/results/train/hyperbola/problem_4166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:033eb50e375a82bc6d327e33e155328b33da4e6e4afbbeabcb09e69843e6aabc
+size 268164
diff --git a/results/train/hyperbola/problem_4170.png b/results/train/hyperbola/problem_4170.png
new file mode 100644
index 0000000000000000000000000000000000000000..b910e9887159e113029ce4c3a6efcfcb36e57c06
--- /dev/null
+++ b/results/train/hyperbola/problem_4170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e54ce36dd83734ff5288051786530ca064162d239bd08e1855c45f2b4f5d13f
+size 261624
diff --git a/results/train/hyperbola/problem_4172.png b/results/train/hyperbola/problem_4172.png
new file mode 100644
index 0000000000000000000000000000000000000000..4626cc9aea4e0cb21b798cec9243fb29fd412c87
--- /dev/null
+++ b/results/train/hyperbola/problem_4172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6531857a81ab9fc33db1427995dbec483286e77ff34bf6225e7319da1e435d2c
+size 268207
diff --git a/results/train/hyperbola/problem_4175.png b/results/train/hyperbola/problem_4175.png
new file mode 100644
index 0000000000000000000000000000000000000000..233ea3b30fcd7617e42ee6a655bedf2edd4b65e7
--- /dev/null
+++ b/results/train/hyperbola/problem_4175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a074508e67ac2bebe3fcc842398f6e294562710e5f5a0fb139eea5d179c4a7b3
+size 243687
diff --git a/results/train/hyperbola/problem_4179.png b/results/train/hyperbola/problem_4179.png
new file mode 100644
index 0000000000000000000000000000000000000000..056f5ba9bf9ee241a314dabf0f7b167ade590640
--- /dev/null
+++ b/results/train/hyperbola/problem_4179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e17b20c16e588b45216c20af3f508a45cb58d1350490930e7fa214538f52047
+size 265841
diff --git a/results/train/hyperbola/problem_4181.png b/results/train/hyperbola/problem_4181.png
new file mode 100644
index 0000000000000000000000000000000000000000..62baa0701fa53bf900e77e493a5127af6ef55358
--- /dev/null
+++ b/results/train/hyperbola/problem_4181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a2d179f2af3fddffa77d3e4aa6a3ec3abffc6bb7dc5be1c2cd0576cdd934e9e
+size 267357
diff --git a/results/train/hyperbola/problem_4186.png b/results/train/hyperbola/problem_4186.png
new file mode 100644
index 0000000000000000000000000000000000000000..3050c774bf455a02dc281419bc987650353a0b97
--- /dev/null
+++ b/results/train/hyperbola/problem_4186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ad76170e63d4a64fe17d372959d1e815fe942e45d90800632a8712270de8b9c
+size 264435
diff --git a/results/train/hyperbola/problem_4187.png b/results/train/hyperbola/problem_4187.png
new file mode 100644
index 0000000000000000000000000000000000000000..387bb674dd702cea9d0ea08e5001fe92e95e38f6
--- /dev/null
+++ b/results/train/hyperbola/problem_4187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d2bca3f94b1a928d644bf3fc3cd395de483af60a96570fa1ad437807553520d
+size 239590
diff --git a/results/train/hyperbola/problem_4188.png b/results/train/hyperbola/problem_4188.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e526adec69d46d2af998e4e5284f0cbfe993210
--- /dev/null
+++ b/results/train/hyperbola/problem_4188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de174d34f353076f044b43e2804e23cb81a70644bd464a130f84923671beab9d
+size 269013
diff --git a/results/train/hyperbola/problem_4190.png b/results/train/hyperbola/problem_4190.png
new file mode 100644
index 0000000000000000000000000000000000000000..64e058d513b6d5be8de951eb75d3aa68d8e2c590
--- /dev/null
+++ b/results/train/hyperbola/problem_4190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aef7016d25b04333f66607614c466d8df7bac40c3b60571cf4c740f1671bb52e
+size 260896
diff --git a/results/train/hyperbola/problem_4199.png b/results/train/hyperbola/problem_4199.png
new file mode 100644
index 0000000000000000000000000000000000000000..a510ec01bf5641d57c325eda9fcb6fb7d30be269
--- /dev/null
+++ b/results/train/hyperbola/problem_4199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d4e6baed77ba33f224dec9ee81189266ba70970a00c57dd5b56fd0963fa3634
+size 270206
diff --git a/results/train/hyperbola/problem_4203.png b/results/train/hyperbola/problem_4203.png
new file mode 100644
index 0000000000000000000000000000000000000000..e26f35e81ad6cc83ddd6be27facca0ca8a99fff4
--- /dev/null
+++ b/results/train/hyperbola/problem_4203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80c14a0d95be1f7406cd97e47f43796c762376a2bfb898630eb50f0335b9de58
+size 268930
diff --git a/results/train/hyperbola/problem_4211.png b/results/train/hyperbola/problem_4211.png
new file mode 100644
index 0000000000000000000000000000000000000000..507cc50d087189a0f89429342b17e0f3f6b93378
--- /dev/null
+++ b/results/train/hyperbola/problem_4211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:302555711eca21e39a41f9fca9c06e03c44ea7b4fd2afaafa3067b911371366e
+size 269016
diff --git a/results/train/hyperbola/problem_4212.png b/results/train/hyperbola/problem_4212.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4754bf702792565879d45f5ada0fbf662b1dddc
--- /dev/null
+++ b/results/train/hyperbola/problem_4212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bb9e64fd414533486ac10a50ee58b1014978fa525779f3b16c6eec3cbc40312
+size 256618
diff --git a/results/train/hyperbola/problem_4214.png b/results/train/hyperbola/problem_4214.png
new file mode 100644
index 0000000000000000000000000000000000000000..566b0d0affb7793d3009bc962df84f289a7ab199
--- /dev/null
+++ b/results/train/hyperbola/problem_4214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82bf213bafe799ba61fe86a1a1a6669ba6baf71cbf6640a84551fe950bc92e89
+size 263800
diff --git a/results/train/hyperbola/problem_4223.png b/results/train/hyperbola/problem_4223.png
new file mode 100644
index 0000000000000000000000000000000000000000..1329ac5d07864fcbe1eecb3653c86443eeae53bb
--- /dev/null
+++ b/results/train/hyperbola/problem_4223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23787cbb62eaaca53a66913a055b88bc234e7803af7534d06f2259bf297090ce
+size 263461
diff --git a/results/train/hyperbola/problem_4226.png b/results/train/hyperbola/problem_4226.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8d3ed38005de3f99aab98f0796b5d95bc480de7
--- /dev/null
+++ b/results/train/hyperbola/problem_4226.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02e57c6aa8f42f48575a61e8d016efc6c04d89030a67ccf68a9a3fc34b265341
+size 270217
diff --git a/results/train/hyperbola/problem_4231.png b/results/train/hyperbola/problem_4231.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b230341f576f1e93542b8ad5af206137a26e823
--- /dev/null
+++ b/results/train/hyperbola/problem_4231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:146401a88585558241c9b4a589a2559c59fd674c5a8ea2d70051b32a82ede82b
+size 234384
diff --git a/results/train/hyperbola/problem_4232.png b/results/train/hyperbola/problem_4232.png
new file mode 100644
index 0000000000000000000000000000000000000000..b078001e8c8cc0c9199f2aa6a1f418213a66bcf9
--- /dev/null
+++ b/results/train/hyperbola/problem_4232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56991096abc1dbc3c51517b630dee0f3022ac78aa3c83d1d06773c5b2b61febb
+size 230735
diff --git a/results/train/hyperbola/problem_4236.png b/results/train/hyperbola/problem_4236.png
new file mode 100644
index 0000000000000000000000000000000000000000..40b001c8d95a29cd91a69414a22f3d508496e0dd
--- /dev/null
+++ b/results/train/hyperbola/problem_4236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:992a21fcef05fffa59e87b51d1514d7c3847cb92b3c4f21d244f88d4f1126cc1
+size 265195
diff --git a/results/train/hyperbola/problem_4238.png b/results/train/hyperbola/problem_4238.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e113a8a983c33d096d1871a9f077fb9c25c51b2
--- /dev/null
+++ b/results/train/hyperbola/problem_4238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e54e82eb5f9a52f5026200a5e450c6026d0cddf4afa497e3e705c88ba9140c3b
+size 261899
diff --git a/results/train/hyperbola/problem_4243.png b/results/train/hyperbola/problem_4243.png
new file mode 100644
index 0000000000000000000000000000000000000000..897932b9ffa1447d7f60f380b5daf214d55a3546
--- /dev/null
+++ b/results/train/hyperbola/problem_4243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47dd51f009d92bb941f101337da69431bd0783b18ee5f921cfe490d299552755
+size 267385
diff --git a/results/train/hyperbola/problem_4244.png b/results/train/hyperbola/problem_4244.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d3b37ecf027b8a18f2f951397594137ffe52027
--- /dev/null
+++ b/results/train/hyperbola/problem_4244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d4cbad0ce6099ed8efbb676379c6d7cdc1890c22bbf0bae62df7b65de7860ec
+size 283218
diff --git a/results/train/hyperbola/problem_4245.png b/results/train/hyperbola/problem_4245.png
new file mode 100644
index 0000000000000000000000000000000000000000..1931aa069f8fc221dd45baf0b9150b024eb29adf
--- /dev/null
+++ b/results/train/hyperbola/problem_4245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:535047a758144a71c2be2934d4c0fe36a901ceb0e916cf8f555261db9079208f
+size 254751
diff --git a/results/train/hyperbola/problem_4247.png b/results/train/hyperbola/problem_4247.png
new file mode 100644
index 0000000000000000000000000000000000000000..e36cb291835bf650e5a98a8ecf687a794735e4f5
--- /dev/null
+++ b/results/train/hyperbola/problem_4247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c86bbdb138f38184fff0d3e39f3bf2123544f077dac98a65d8e487e3672557d
+size 263546
diff --git a/results/train/hyperbola/problem_4251.png b/results/train/hyperbola/problem_4251.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a19aeb00545abdee2c9ecd29af4b060c3b0376c
--- /dev/null
+++ b/results/train/hyperbola/problem_4251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a0a1721ccf0678045e5c069d6a3cdf7af34061be3727c4157a4a1c092ce278e
+size 258195
diff --git a/results/train/hyperbola/problem_4256.png b/results/train/hyperbola/problem_4256.png
new file mode 100644
index 0000000000000000000000000000000000000000..26984d6b50fc5e66239ee166349867700876242a
--- /dev/null
+++ b/results/train/hyperbola/problem_4256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78deb95af374705371f3309ac963d39c6dcd1c9da1ed0d92927d7aaf9e9310f8
+size 261819
diff --git a/results/train/hyperbola/problem_4257.png b/results/train/hyperbola/problem_4257.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b25c9ffaef8878ca6150205eb94e79ea90b5a62
--- /dev/null
+++ b/results/train/hyperbola/problem_4257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dee77763fceeb9d03a27ba91ed53d51610a780c0db7990dfa3e7a2fde5d50fe1
+size 267086
diff --git a/results/train/hyperbola/problem_4258.png b/results/train/hyperbola/problem_4258.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0eb198b471947e4e62ffddf92e6cea2a45fd4ad
--- /dev/null
+++ b/results/train/hyperbola/problem_4258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61d4b95a754b300ef9e458a2bed34ab31174306edf6a4beb00c292787291bea9
+size 268616
diff --git a/results/train/hyperbola/problem_4263.png b/results/train/hyperbola/problem_4263.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5a27c9bd731f11e99bfd0d0aeb5ab0e0494689c
--- /dev/null
+++ b/results/train/hyperbola/problem_4263.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1edf1c01e333c54bceb9ce7f51ae8f28456fabbabeb85fe21f3e5235c76bf56
+size 264954
diff --git a/results/train/hyperbola/problem_4267.png b/results/train/hyperbola/problem_4267.png
new file mode 100644
index 0000000000000000000000000000000000000000..8588aa108481210ee4173b4c76885da0ad73bda2
--- /dev/null
+++ b/results/train/hyperbola/problem_4267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47419502ebd06a1c250280f1946fc8ef109d0be849d1b0349badd6cd4fc61252
+size 275303
diff --git a/results/train/hyperbola/problem_4269.png b/results/train/hyperbola/problem_4269.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b5d1aae9e0fbb670409c36334048a51029ba53c
--- /dev/null
+++ b/results/train/hyperbola/problem_4269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d179e862fa3e50a9ae7c7e06fa18e99ec823b70e0a83b0b1884d70df5e68cc
+size 245825
diff --git a/results/train/hyperbola/problem_4270.png b/results/train/hyperbola/problem_4270.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb904cb7c6961a7d0f204bd097e46052b7b37e7e
--- /dev/null
+++ b/results/train/hyperbola/problem_4270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:716a9139389ef31e196fdaa6c3dc06628d7563047966822875bf216c3f818c77
+size 248404
diff --git a/results/train/hyperbola/problem_4271.png b/results/train/hyperbola/problem_4271.png
new file mode 100644
index 0000000000000000000000000000000000000000..c007d3d008918f3ccfa8b95f65b73248a77aa7c8
--- /dev/null
+++ b/results/train/hyperbola/problem_4271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9d973b267198c3ffdf08093ee915f8392ca903849ff4eb40de65df4e7256ce0
+size 275840
diff --git a/results/train/hyperbola/problem_4274.png b/results/train/hyperbola/problem_4274.png
new file mode 100644
index 0000000000000000000000000000000000000000..8831b4b8401c1e45e1c441be0bc3ce8c64ded8e5
--- /dev/null
+++ b/results/train/hyperbola/problem_4274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cef3df0960ac130eddca0bb6303497fb78a5423748fb133075aab7e6f83843d8
+size 261125
diff --git a/results/train/hyperbola/problem_4276.png b/results/train/hyperbola/problem_4276.png
new file mode 100644
index 0000000000000000000000000000000000000000..80e67f4ffd63cd724ef9ab676685852df390dd81
--- /dev/null
+++ b/results/train/hyperbola/problem_4276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3075dda65d6a2216b3d8bad927308b4b493a2a06936b033b8c970f12dfca9c9
+size 259357
diff --git a/results/train/hyperbola/problem_4277.png b/results/train/hyperbola/problem_4277.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd862877f9d622d65626b202ee00cb869cd23c78
--- /dev/null
+++ b/results/train/hyperbola/problem_4277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:502026fc7c24e36bc675acd4da6af620f8d1c2fa259fe710f74f13bef504eef3
+size 271745
diff --git a/results/train/hyperbola/problem_4278.png b/results/train/hyperbola/problem_4278.png
new file mode 100644
index 0000000000000000000000000000000000000000..387c1f3eb081c706432cce09c4545c8953c6f27b
--- /dev/null
+++ b/results/train/hyperbola/problem_4278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0541292a2db5dad3d390f4f4f0c093eb298d14fcad5f4026daa7980660e1ef2
+size 267711
diff --git a/results/train/hyperbola/problem_4283.png b/results/train/hyperbola/problem_4283.png
new file mode 100644
index 0000000000000000000000000000000000000000..561a598295ab440b91070ea124424843bedda48b
--- /dev/null
+++ b/results/train/hyperbola/problem_4283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e886fb7d06efdc30fd181e149e05ec0c68251b75d9d34e2d0e0236f7835c865d
+size 278724
diff --git a/results/train/hyperbola/problem_4292.png b/results/train/hyperbola/problem_4292.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcefabcb6173068dcb84bd66c13d264f8242c0e3
--- /dev/null
+++ b/results/train/hyperbola/problem_4292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b4e06dc78e4ab5f66da20e1ed5309494a33332de1af0ee00fc00bfde09663fa
+size 259645
diff --git a/results/train/hyperbola/problem_4301.png b/results/train/hyperbola/problem_4301.png
new file mode 100644
index 0000000000000000000000000000000000000000..c878f5d4fb9d9febffbc7cb6fbd60288d651942f
--- /dev/null
+++ b/results/train/hyperbola/problem_4301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73eea50a7ede1d3285207788490fcbe2c2229209e5b54323445423ada85f958b
+size 263196
diff --git a/results/train/hyperbola/problem_4305.png b/results/train/hyperbola/problem_4305.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9c3a477bd8350ab691d8511dd9f27e7d78dd20e
--- /dev/null
+++ b/results/train/hyperbola/problem_4305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aee4d9bae48197fdb20b251b85911d9f102d9a2a7c1ca7f9f43e68b77c70d1d4
+size 247921
diff --git a/results/train/hyperbola/problem_4312.png b/results/train/hyperbola/problem_4312.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba7759f037595092207bffacc9d4bad78879b5e0
--- /dev/null
+++ b/results/train/hyperbola/problem_4312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a7e07e87de845c119b7bc8477a95cb043874a1cfd8dcabcde679796fdcfb357
+size 259724
diff --git a/results/train/hyperbola/problem_4324.png b/results/train/hyperbola/problem_4324.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd026b523984205907b4b242d12fac2da6f44ed4
--- /dev/null
+++ b/results/train/hyperbola/problem_4324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:808760ba7b208f174ace5e28336bc1dff29f9fd52f058ca4f938264134850bc2
+size 272359
diff --git a/results/train/hyperbola/problem_4326.png b/results/train/hyperbola/problem_4326.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d00a5c52902710c3725450bc24270ce92ed61b4
--- /dev/null
+++ b/results/train/hyperbola/problem_4326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0da6ef62d50f9f6cceee7206c3a46d563cd1762d5c7a0748b70445cbd15cbb20
+size 257685
diff --git a/results/train/hyperbola/problem_4331.png b/results/train/hyperbola/problem_4331.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9c9ff77122e1cc75e55d0722ee85d2aaa0cd25f
--- /dev/null
+++ b/results/train/hyperbola/problem_4331.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4bb80567d7ac7db05e2627299c03f271fa73dbac0d208a326c92923ac8ab768
+size 245278
diff --git a/results/train/hyperbola/problem_4335.png b/results/train/hyperbola/problem_4335.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5f5a1147d95d8be29eebc3385232ff1d84db8f6
--- /dev/null
+++ b/results/train/hyperbola/problem_4335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f57b8f58e3a95bb8a06dc536e7d78cc1cf4283da4eb34dc5555d4a55fe3ec751
+size 276099
diff --git a/results/train/hyperbola/problem_4339.png b/results/train/hyperbola/problem_4339.png
new file mode 100644
index 0000000000000000000000000000000000000000..26980ca97e0440ba43b22477e9f9fe52848ac3a1
--- /dev/null
+++ b/results/train/hyperbola/problem_4339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a04ad6561266e105e75884502f2981f7d2393c892ded021b5f12b08c59219bb9
+size 265086
diff --git a/results/train/hyperbola/problem_4340.png b/results/train/hyperbola/problem_4340.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd2f7612e991f50fa777aa5ae59bc9e07d07fede
--- /dev/null
+++ b/results/train/hyperbola/problem_4340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:970a897ecf300df0d4210ab6ebc3630ec476004be390e9798da692435b535312
+size 264401
diff --git a/results/train/hyperbola/problem_4341.png b/results/train/hyperbola/problem_4341.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3e9c267fe36c4ddc387d9e84304b94adc790d2e
--- /dev/null
+++ b/results/train/hyperbola/problem_4341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74f6c36e5ee49c0ffb4f974281513814a1d9e4f3ca1a9a07ea8723d8ae87fad5
+size 273557
diff --git a/results/train/hyperbola/problem_4343.png b/results/train/hyperbola/problem_4343.png
new file mode 100644
index 0000000000000000000000000000000000000000..d03ff80f9472d4447eb5599cfe91632659c43b06
--- /dev/null
+++ b/results/train/hyperbola/problem_4343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff301b9d9555ebd30002f64d2a4b972cc4ed0e0853d8caeb81a4f1f8470a332d
+size 270625
diff --git a/results/train/hyperbola/problem_4345.png b/results/train/hyperbola/problem_4345.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b3b3bb44c03cee6c83ffc033e3cac88f0f3505e
--- /dev/null
+++ b/results/train/hyperbola/problem_4345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:232eb09065e8d512f1b19e4a72f52d2c8c052096b0308c9ce72a55968ced9441
+size 236721
diff --git a/results/train/hyperbola/problem_4348.png b/results/train/hyperbola/problem_4348.png
new file mode 100644
index 0000000000000000000000000000000000000000..bbd7b9194cf61586a38ba50476ccc02e997d77da
--- /dev/null
+++ b/results/train/hyperbola/problem_4348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b74f4f555e2223620a11d2604c5282ee2466e857eab564e73ac96d77da3155e
+size 261855
diff --git a/results/train/hyperbola/problem_4356.png b/results/train/hyperbola/problem_4356.png
new file mode 100644
index 0000000000000000000000000000000000000000..8deb7ceb58891e6ec55f77e86e00e98189dfc5d4
--- /dev/null
+++ b/results/train/hyperbola/problem_4356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:67df35b575100e698904b08b3db72b660790c645d43ee8c8bfbdc31cc9e6f067
+size 256010
diff --git a/results/train/hyperbola/problem_4357.png b/results/train/hyperbola/problem_4357.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5302778915d38f66854cb84a6bad67ce58cf098
--- /dev/null
+++ b/results/train/hyperbola/problem_4357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8a20e650c25b9db9eee0aee64db3defa0b3b5d689c8c21e92c1c792977b0eac
+size 264844
diff --git a/results/train/hyperbola/problem_4358.png b/results/train/hyperbola/problem_4358.png
new file mode 100644
index 0000000000000000000000000000000000000000..c227ca08663f48b1c5de6564765c9eb1367b22b0
--- /dev/null
+++ b/results/train/hyperbola/problem_4358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a4cb8062e5d0cda721c834bd60b5823b50030263d59ebbb1271100f52f827b5
+size 249743
diff --git a/results/train/hyperbola/problem_4365.png b/results/train/hyperbola/problem_4365.png
new file mode 100644
index 0000000000000000000000000000000000000000..b08e4c48625d0233885fd82fc441129d99217d19
--- /dev/null
+++ b/results/train/hyperbola/problem_4365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccc725c5397e51528c5248f843afec1774b18268845224935f4c27a64d63d5e1
+size 255210
diff --git a/results/train/hyperbola/problem_4378.png b/results/train/hyperbola/problem_4378.png
new file mode 100644
index 0000000000000000000000000000000000000000..a434a491449f301156b130ff6c4f126303e4dee6
--- /dev/null
+++ b/results/train/hyperbola/problem_4378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3210998fb19d93c99bc0ffbf1ced1b6fc33eeba7a918b1e70f9178bf48dee7b
+size 265794
diff --git a/results/train/hyperbola/problem_4380.png b/results/train/hyperbola/problem_4380.png
new file mode 100644
index 0000000000000000000000000000000000000000..371be6522989bb4a0cc09e96db0145c670c960aa
--- /dev/null
+++ b/results/train/hyperbola/problem_4380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00d8ae9c3b31169ed58bacf563597be1eeede79689998e15e457f321f99eaf92
+size 267943
diff --git a/results/train/hyperbola/problem_4384.png b/results/train/hyperbola/problem_4384.png
new file mode 100644
index 0000000000000000000000000000000000000000..69bcbc7c27fdb5cd37ba7b4df926cc81caf7bde1
--- /dev/null
+++ b/results/train/hyperbola/problem_4384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bb79d767de1698562dfa192f3de9b1a37a79ae2e3d3022bfe5bf5f7c87c873d
+size 253709
diff --git a/results/train/hyperbola/problem_4385.png b/results/train/hyperbola/problem_4385.png
new file mode 100644
index 0000000000000000000000000000000000000000..da971d448879af0cea96c03a6442456164d27560
--- /dev/null
+++ b/results/train/hyperbola/problem_4385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac24a143eb68d37a4eefde5d5dc8bc4d8fdbdd3785497f175ddfb35797cf7978
+size 261913
diff --git a/results/train/hyperbola/problem_4402.png b/results/train/hyperbola/problem_4402.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3e36d1616a12bd14f22b3a841980633a3c68fd3
--- /dev/null
+++ b/results/train/hyperbola/problem_4402.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72d01952b5fdf0aaf0dce2966b8d58b1232d3e6b85c17cbcbd93a4793adc5229
+size 260302
diff --git a/results/train/hyperbola/problem_4403.png b/results/train/hyperbola/problem_4403.png
new file mode 100644
index 0000000000000000000000000000000000000000..c40a6fbcd1869dd69df373578238fc84d06be306
--- /dev/null
+++ b/results/train/hyperbola/problem_4403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fad5578ba91d4a620b665733c0aaa0c2446a5b69c6e823a10b4da062636f4d30
+size 256610
diff --git a/results/train/hyperbola/problem_4405.png b/results/train/hyperbola/problem_4405.png
new file mode 100644
index 0000000000000000000000000000000000000000..47de1542764bf8f4f6ab6fa3323882cd294acb51
--- /dev/null
+++ b/results/train/hyperbola/problem_4405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:596cd9d0722804e770b08c114a570e9ad6da180d202802e97b043254c1dc7923
+size 263456
diff --git a/results/train/hyperbola/problem_4406.png b/results/train/hyperbola/problem_4406.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e50a4edca824d8f78955c6fe77d3b0c76a8913d
--- /dev/null
+++ b/results/train/hyperbola/problem_4406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e3ddcf442d802e9a17bdd838b6f998fecf3df962618610651575eb7fdf52744
+size 277523
diff --git a/results/train/hyperbola/problem_4411.png b/results/train/hyperbola/problem_4411.png
new file mode 100644
index 0000000000000000000000000000000000000000..929c4b17bd964e0af8d006e15fab719d200e09a3
--- /dev/null
+++ b/results/train/hyperbola/problem_4411.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c7ff6daba893f7e0a50fd287bcf136a7d94b341de85700d85d57a7a29bb5db7
+size 233376
diff --git a/results/train/hyperbola/problem_4416.png b/results/train/hyperbola/problem_4416.png
new file mode 100644
index 0000000000000000000000000000000000000000..fed7d53fe0f0167dc4cba84b39b391846f72e999
--- /dev/null
+++ b/results/train/hyperbola/problem_4416.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e92f395f8a42793bfc6c9c97a529fb2b3d03a0a77bd0c9ab358c9a1d62570cc7
+size 270407
diff --git a/results/train/hyperbola/problem_4417.png b/results/train/hyperbola/problem_4417.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f02ec55792a095205963e11752d85d845d65249
--- /dev/null
+++ b/results/train/hyperbola/problem_4417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c0da7edae5413be98b1337b2026462baf07fbd06d1c8fac77fd37da7b6cb9e3
+size 269111
diff --git a/results/train/hyperbola/problem_4420.png b/results/train/hyperbola/problem_4420.png
new file mode 100644
index 0000000000000000000000000000000000000000..e19ffe69459e158901f878d1356316cb5a8682b1
--- /dev/null
+++ b/results/train/hyperbola/problem_4420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5630b5c9a1efe74cb31b3b30fe3158c64eb178ed3b4e8c5e15b7c2bf0df3ca8
+size 271536
diff --git a/results/train/hyperbola/problem_4422.png b/results/train/hyperbola/problem_4422.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ce7a7408d43d8b39080a43b0fe994d54c892e59
--- /dev/null
+++ b/results/train/hyperbola/problem_4422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97524805497261bb39e48b0b0f7e8635be085640a4e27c1050c0a72d1e9d4df9
+size 232831
diff --git a/results/train/hyperbola/problem_4423.png b/results/train/hyperbola/problem_4423.png
new file mode 100644
index 0000000000000000000000000000000000000000..4da896b025812fe0debcac2c46daa294651463e0
--- /dev/null
+++ b/results/train/hyperbola/problem_4423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c10e681078554f5c9bc69d7addcf1def08913ee71c572a2fa535ac02f2949cd8
+size 264509
diff --git a/results/train/hyperbola/problem_4428.png b/results/train/hyperbola/problem_4428.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c925d29c83e0972b8b56f108e48c0977492b8f5
--- /dev/null
+++ b/results/train/hyperbola/problem_4428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13bb4e12c433b8eb314575cf492485f82e2f38b7589f8ea21812f91ffffd0813
+size 232188
diff --git a/results/train/hyperbola/problem_4429.png b/results/train/hyperbola/problem_4429.png
new file mode 100644
index 0000000000000000000000000000000000000000..56a5f1e9ac62a0bb3aa47d68baa2bb23dff13e63
--- /dev/null
+++ b/results/train/hyperbola/problem_4429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e643a98705939cd52e69a798c2162726b9c18f4f0bb6ffc92932e36e70676dc8
+size 273296
diff --git a/results/train/hyperbola/problem_4430.png b/results/train/hyperbola/problem_4430.png
new file mode 100644
index 0000000000000000000000000000000000000000..d98a411cb2d8c2fc9fe1a2582e23bf3c10b96718
--- /dev/null
+++ b/results/train/hyperbola/problem_4430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dca15acb61f7bfd8b75c360b86bfd01b977dd54be8de065eead45b1e2a55253
+size 250706
diff --git a/results/train/hyperbola/problem_4431.png b/results/train/hyperbola/problem_4431.png
new file mode 100644
index 0000000000000000000000000000000000000000..483a43706e5374161ec16dc89598ea9cde898d6e
--- /dev/null
+++ b/results/train/hyperbola/problem_4431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cba12c9a8315a3d816ebcfd9ac939afa273139fc7da0be070dca8a405806d089
+size 273255
diff --git a/results/train/hyperbola/problem_4433.png b/results/train/hyperbola/problem_4433.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c352089689143d23f0d3354fbbd776876bc835b
--- /dev/null
+++ b/results/train/hyperbola/problem_4433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd125ddd01562772a208fca37839294fa6db48e368d5a361103b9e701ef94e4d
+size 243953
diff --git a/results/train/hyperbola/problem_4435.png b/results/train/hyperbola/problem_4435.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab2b7cfe283e2d054d71dbf555bcf156644a29e8
--- /dev/null
+++ b/results/train/hyperbola/problem_4435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:836543e3c21770f85258785d9b0ae0eee5c2cce24a4346be3ae8e10db6176a6f
+size 247273
diff --git a/results/train/hyperbola/problem_4438.png b/results/train/hyperbola/problem_4438.png
new file mode 100644
index 0000000000000000000000000000000000000000..24543fd704ae9c79cc7ebdc7f12cff978a7e541e
--- /dev/null
+++ b/results/train/hyperbola/problem_4438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e40e6c2bf4d11784714f98a12e771036da289211334cc446c2082e9bac77c573
+size 274141
diff --git a/results/train/hyperbola/problem_4440.png b/results/train/hyperbola/problem_4440.png
new file mode 100644
index 0000000000000000000000000000000000000000..598c59d588fca6f958b10041103a2e36ef7c3bf3
--- /dev/null
+++ b/results/train/hyperbola/problem_4440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:459a3da846f55b741406d8b5dbf125361c734e2267a52e9154570dadd46fc7e5
+size 266694
diff --git a/results/train/hyperbola/problem_4444.png b/results/train/hyperbola/problem_4444.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc662b45cdae6aab10cff462ee3a149a212ec65c
--- /dev/null
+++ b/results/train/hyperbola/problem_4444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0cc40cd46a67051d681aa6423596d790cc5acce08034f1ceac0388e919ff12a5
+size 257444
diff --git a/results/train/hyperbola/problem_4445.png b/results/train/hyperbola/problem_4445.png
new file mode 100644
index 0000000000000000000000000000000000000000..110564948df7b9c006c22715c13ba538dc90c292
--- /dev/null
+++ b/results/train/hyperbola/problem_4445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a4f6128e1622bd22586224527cb45fb2ce5fd9ab1110cb802a57cbec2f3b5a7
+size 266021
diff --git a/results/train/hyperbola/problem_4447.png b/results/train/hyperbola/problem_4447.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3c2e28f1d9ba0579e2ee2655338b27aaf135289
--- /dev/null
+++ b/results/train/hyperbola/problem_4447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b38ac204a9cd13755c9497624fae41b527813ba3bb8df142fbe8952f765e09a
+size 269724
diff --git a/results/train/hyperbola/problem_4449.png b/results/train/hyperbola/problem_4449.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1455f31094b4c48509f1269125463ea03e7b5fc
--- /dev/null
+++ b/results/train/hyperbola/problem_4449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a26871ce6c514876d66a48b5a3546d379b49fe124cc80035d3205e1e18a7efb7
+size 257735
diff --git a/results/train/hyperbola/problem_4450.png b/results/train/hyperbola/problem_4450.png
new file mode 100644
index 0000000000000000000000000000000000000000..a36fa75475e2cfdce9bd30ec95e7d0675f4479ac
--- /dev/null
+++ b/results/train/hyperbola/problem_4450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d3f69881a7a3ecdea9485add43e0f62ea2c4eb872a96416bf507c2efcb6b6b2
+size 264440
diff --git a/results/train/hyperbola/problem_4451.png b/results/train/hyperbola/problem_4451.png
new file mode 100644
index 0000000000000000000000000000000000000000..567dc2bb5f4f99dae7567472375cefb7c0a5b7cd
--- /dev/null
+++ b/results/train/hyperbola/problem_4451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85901317e64324a56f971c40872d06f1a9aebebf7290f155d2e92a9328caa521
+size 238120
diff --git a/results/train/hyperbola/problem_4452.png b/results/train/hyperbola/problem_4452.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a420ac794b5d673f65d6377ce1e936180f7a44a
--- /dev/null
+++ b/results/train/hyperbola/problem_4452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9e76822c91c42cf5c2333f2934851e46b9878fed09e9dbd3169b527de28f2c9
+size 273675
diff --git a/results/train/hyperbola/problem_4458.png b/results/train/hyperbola/problem_4458.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7672b7262aedd55bc7350324695c16b8ecc4098
--- /dev/null
+++ b/results/train/hyperbola/problem_4458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1efae1dd43d3289b545f53817c4a563c0dac382ad19eaae7f20f23e8dac6a23
+size 267311
diff --git a/results/train/hyperbola/problem_4460.png b/results/train/hyperbola/problem_4460.png
new file mode 100644
index 0000000000000000000000000000000000000000..52ff4e0162224a0304f059d5c343411a1e850cf9
--- /dev/null
+++ b/results/train/hyperbola/problem_4460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb78cba108bd2aebef498b10ab48c3eedd161b58be3deeb68d8f30668f0b6c39
+size 243252
diff --git a/results/train/hyperbola/problem_4464.png b/results/train/hyperbola/problem_4464.png
new file mode 100644
index 0000000000000000000000000000000000000000..6060cbb33c663b5118d60f39402c429170960365
--- /dev/null
+++ b/results/train/hyperbola/problem_4464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bed97e7180f22e7fafbc64ffc0a5a5ebdaff0fc654c6d7dc6516636565ce24b5
+size 265448
diff --git a/results/train/hyperbola/problem_4466.png b/results/train/hyperbola/problem_4466.png
new file mode 100644
index 0000000000000000000000000000000000000000..09fe525630b8d234fe6e4a989b9337982ff135ee
--- /dev/null
+++ b/results/train/hyperbola/problem_4466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ca0eb7cc42ea541fd862065c40b1bddc07ae4cc046c99e6a1344123481fc92c
+size 251253
diff --git a/results/train/hyperbola/problem_4470.png b/results/train/hyperbola/problem_4470.png
new file mode 100644
index 0000000000000000000000000000000000000000..2702380f24a2f304cd63be5633421ed54ae3acb5
--- /dev/null
+++ b/results/train/hyperbola/problem_4470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f4266b2f052ba8ab4cd4b57328b6ad93ac164ae42665a145e6d7f2fe9c2f7a8
+size 260160
diff --git a/results/train/hyperbola/problem_4472.png b/results/train/hyperbola/problem_4472.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a0ceeae19c0e191d857e23aa74713d7010a1fed
--- /dev/null
+++ b/results/train/hyperbola/problem_4472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45dc36fb6ffaf716c31a3ff067a8bfeb4cdf4031b66f38a15b6b6ce2ac003603
+size 262202
diff --git a/results/train/hyperbola/problem_4473.png b/results/train/hyperbola/problem_4473.png
new file mode 100644
index 0000000000000000000000000000000000000000..62193f5df850ff4467fa772702ba6d49f4a4be05
--- /dev/null
+++ b/results/train/hyperbola/problem_4473.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0806ebef81c9bf643e76fc9d9a76deb4a6df67872d6649bc4ba9e8544401fde
+size 249437
diff --git a/results/train/hyperbola/problem_4474.png b/results/train/hyperbola/problem_4474.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d75c9a52e3c730e54ff3f3b057c05af724284c9
--- /dev/null
+++ b/results/train/hyperbola/problem_4474.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e3c0600eaabe536f3519c24e70302476a2ef9ae488b9b15abc187e0a0b900ee
+size 270216
diff --git a/results/train/hyperbola/problem_4477.png b/results/train/hyperbola/problem_4477.png
new file mode 100644
index 0000000000000000000000000000000000000000..a899089215e0d6d67290773fafd222fe7cda0037
--- /dev/null
+++ b/results/train/hyperbola/problem_4477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa0f9846945bef2e5cb4d7ba5d92501f1b65c9035247281e4a9f8cbe7f8302e7
+size 277296
diff --git a/results/train/hyperbola/problem_4488.png b/results/train/hyperbola/problem_4488.png
new file mode 100644
index 0000000000000000000000000000000000000000..2648072ed94b8d3d31d6ab8c05bc068ee3dc7a4c
--- /dev/null
+++ b/results/train/hyperbola/problem_4488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5c8dbb14f40ad1ac11707b39a2a3554727503393e6df54a9ff80d9a4e455672
+size 263020
diff --git a/results/train/hyperbola/problem_4490.png b/results/train/hyperbola/problem_4490.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d3441e30b510ab5df50c9265316ce8522bfca71
--- /dev/null
+++ b/results/train/hyperbola/problem_4490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0397b25f4584130afbfd1a408f3f24915b3bd2a04aeec307b6e7c4ca46fd68b4
+size 271894
diff --git a/results/train/hyperbola/problem_4491.png b/results/train/hyperbola/problem_4491.png
new file mode 100644
index 0000000000000000000000000000000000000000..0076daab3d574d5239ed0e41bd949f89f75f79f5
--- /dev/null
+++ b/results/train/hyperbola/problem_4491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e2bb05e1a5b8b8fddae8d7581f28ec20f29ebbae7dbf4fac3144cd2e3f99370
+size 234563
diff --git a/results/train/hyperbola/problem_4494.png b/results/train/hyperbola/problem_4494.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9b7ab6062e8cdae20d8c65764d655282f56a67d
--- /dev/null
+++ b/results/train/hyperbola/problem_4494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c7b9ade3573caf22b01ef0584de709b609bb1b5f28cdfcb0387d4fcf46ff51a
+size 265347
diff --git a/results/train/hyperbola/problem_4497.png b/results/train/hyperbola/problem_4497.png
new file mode 100644
index 0000000000000000000000000000000000000000..73cb36e0dfa830c7b8e26a8775506c819930b6bd
--- /dev/null
+++ b/results/train/hyperbola/problem_4497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:914dc75d4eb015a7fa5ab6ed60d87b885056fb7c932ea5674bd618ac36e7a4e8
+size 257994
diff --git a/results/train/hyperbola/problem_4499.png b/results/train/hyperbola/problem_4499.png
new file mode 100644
index 0000000000000000000000000000000000000000..801d50e88602d24d46457478c8370a59c4838ea8
--- /dev/null
+++ b/results/train/hyperbola/problem_4499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcd2e57e757b2a8ee8955ab07610f69ec750ee7914bc7e8b95a8ac21b6adf5f0
+size 270216
diff --git a/results/train/hyperbola/problem_4507.png b/results/train/hyperbola/problem_4507.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b928a27039f39b62d653e6e7000a8ea030b8a7f
--- /dev/null
+++ b/results/train/hyperbola/problem_4507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b7907a4f9e75198247dae130cfe67e973d29bfe810646806cd54470e4567027
+size 243638
diff --git a/results/train/hyperbola/problem_4516.png b/results/train/hyperbola/problem_4516.png
new file mode 100644
index 0000000000000000000000000000000000000000..325fdef6631764b5936b76e88392b9bd4e8648f0
--- /dev/null
+++ b/results/train/hyperbola/problem_4516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c952fda655652b32364cc73cb58d4f5a5fa5d881946423f5e846b480ec61cea8
+size 263546
diff --git a/results/train/hyperbola/problem_4520.png b/results/train/hyperbola/problem_4520.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe662335a9fd06d04bf5938952a4d117cdef28dc
--- /dev/null
+++ b/results/train/hyperbola/problem_4520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fed6f0ec73040b6f04697d565b68ee3c26fede019bb8b5400cd827a30e31b2a8
+size 271915
diff --git a/results/train/hyperbola/problem_4521.png b/results/train/hyperbola/problem_4521.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffbc6d1faf2b4aa452002c8494f37144d6745aa1
--- /dev/null
+++ b/results/train/hyperbola/problem_4521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80885f05211c803f52391916c39e45bdb740d990ba9216a12633fc28ead1a591
+size 272513
diff --git a/results/train/hyperbola/problem_4522.png b/results/train/hyperbola/problem_4522.png
new file mode 100644
index 0000000000000000000000000000000000000000..df3b76a9bfd05516d591a16d25b403c41fefc38e
--- /dev/null
+++ b/results/train/hyperbola/problem_4522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4586568cd2472e844e3ae1b7c04ca3c7f3ff5e1decd3cf20588822357f643a17
+size 237258
diff --git a/results/train/hyperbola/problem_4527.png b/results/train/hyperbola/problem_4527.png
new file mode 100644
index 0000000000000000000000000000000000000000..d707bf2ed918a363c237a0c5d3809c333c9e45fe
--- /dev/null
+++ b/results/train/hyperbola/problem_4527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8613216dfcde09455d19fbe5d9c342c68e7325eba04c2987bbdde8b7dffc23f3
+size 251094
diff --git a/results/train/hyperbola/problem_4531.png b/results/train/hyperbola/problem_4531.png
new file mode 100644
index 0000000000000000000000000000000000000000..d63a0ecef04122f7e8a192d53355d7d533026ea6
--- /dev/null
+++ b/results/train/hyperbola/problem_4531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a65c19ba2677398cf8f21176935e4047dfb7ab5808e10d88b42f8917e3942989
+size 237707
diff --git a/results/train/hyperbola/problem_4533.png b/results/train/hyperbola/problem_4533.png
new file mode 100644
index 0000000000000000000000000000000000000000..14a65bc41f17521079e194ea7eff76577e4bf3ca
--- /dev/null
+++ b/results/train/hyperbola/problem_4533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2266db07d65d11bdf598e80241ad8cf6ae50aef64ebf8cb26d4c09c5e27fb09
+size 262308
diff --git a/results/train/hyperbola/problem_4535.png b/results/train/hyperbola/problem_4535.png
new file mode 100644
index 0000000000000000000000000000000000000000..1effb598f5accff07124d7a9e48f1575989754d8
--- /dev/null
+++ b/results/train/hyperbola/problem_4535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42ad8bffbd747a0842ccff4611f86fd845041b08846110aba683bf46a5561107
+size 266678
diff --git a/results/train/hyperbola/problem_4536.png b/results/train/hyperbola/problem_4536.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e2b0bd4b93fff020d90193bd72a8a39344e95d2
--- /dev/null
+++ b/results/train/hyperbola/problem_4536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86bbac0a36d15254a249b1bd8ab62fa1e01f7475a8ad7dc686d915fc5eea8415
+size 257286
diff --git a/results/train/hyperbola/problem_4542.png b/results/train/hyperbola/problem_4542.png
new file mode 100644
index 0000000000000000000000000000000000000000..084414256b3376f469eb725dcfb1043e743a36bf
--- /dev/null
+++ b/results/train/hyperbola/problem_4542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f2d890334797cf256e89fa8b86e8a5702f800d89c0f030df4845d5ccaab373c
+size 285346
diff --git a/results/train/hyperbola/problem_4546.png b/results/train/hyperbola/problem_4546.png
new file mode 100644
index 0000000000000000000000000000000000000000..eadee0ac15edc6244f3d6dea17898117b0ac08ec
--- /dev/null
+++ b/results/train/hyperbola/problem_4546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cfc041578bad2730bb93137055b8bc11363a3f40eba35d5d02d813dfd784179
+size 252640
diff --git a/results/train/hyperbola/problem_4547.png b/results/train/hyperbola/problem_4547.png
new file mode 100644
index 0000000000000000000000000000000000000000..00e4a4a9dba8a5c51cc1606e4c03dffd54179f55
--- /dev/null
+++ b/results/train/hyperbola/problem_4547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9370621c1a6ee5816483c4f7509b05d56d4bd00980eb6b8b2b8a9700d8be933c
+size 267844
diff --git a/results/train/hyperbola/problem_4551.png b/results/train/hyperbola/problem_4551.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b7ad65a50f16b4206795809d2894086bcd00cf0
--- /dev/null
+++ b/results/train/hyperbola/problem_4551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9052a55c6f4dfbd65436bef47fb475cfb30c50cb2425e6a7a9b7f444032c769e
+size 242265
diff --git a/results/train/hyperbola/problem_4552.png b/results/train/hyperbola/problem_4552.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6019dbde0b9a75f9a1265515ace18051c09750c
--- /dev/null
+++ b/results/train/hyperbola/problem_4552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a7cb1960e43cb6702eac9257ba4d8bd9d8dea03770aa4387ded783442f57c5e
+size 263125
diff --git a/results/train/hyperbola/problem_4553.png b/results/train/hyperbola/problem_4553.png
new file mode 100644
index 0000000000000000000000000000000000000000..b817ea9a172494bf1dff739de7f9c1725b644b8e
--- /dev/null
+++ b/results/train/hyperbola/problem_4553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c04da1def9a83caa6138389728a21f7a97505a1b1529861064d97526ce106bcc
+size 267813
diff --git a/results/train/hyperbola/problem_4556.png b/results/train/hyperbola/problem_4556.png
new file mode 100644
index 0000000000000000000000000000000000000000..2539cb1a8737028e9d2840840321e68c3f44e59b
--- /dev/null
+++ b/results/train/hyperbola/problem_4556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d1da75a6de8b9a643fb710cd1860aedc342c6b4a09eaa7cb4b52b49dfebffc7
+size 274352
diff --git a/results/train/hyperbola/problem_4557.png b/results/train/hyperbola/problem_4557.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b75c145c0069ae4acc4cd043444e8b1d8d37b7d
--- /dev/null
+++ b/results/train/hyperbola/problem_4557.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:881e95b156a9fc6636e3e5fe42d015c08ba1ed6542c7b6e57f1126c7bcd1aff8
+size 288281
diff --git a/results/train/hyperbola/problem_4558.png b/results/train/hyperbola/problem_4558.png
new file mode 100644
index 0000000000000000000000000000000000000000..2391ffab78b53f15c7cd5a93415499c11422dd4d
--- /dev/null
+++ b/results/train/hyperbola/problem_4558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8370336c51f2ccbafe05f48d31afd2323164be38a39714bec6d6f41dc16bdab
+size 249077
diff --git a/results/train/hyperbola/problem_4560.png b/results/train/hyperbola/problem_4560.png
new file mode 100644
index 0000000000000000000000000000000000000000..706141b0e4540d19eb505e0929162faff8cef8b6
--- /dev/null
+++ b/results/train/hyperbola/problem_4560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1593c8b7cbd0846dcded16b8ff33d73e26a394de1153df069aec3ef25632689b
+size 257697
diff --git a/results/train/hyperbola/problem_4561.png b/results/train/hyperbola/problem_4561.png
new file mode 100644
index 0000000000000000000000000000000000000000..de04316f5f2995b9de66b39625773fc5f122373b
--- /dev/null
+++ b/results/train/hyperbola/problem_4561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:351c6452d3d28b5410ab9d656c33eed10afec422f0fc87d207240c09d68837fd
+size 271718
diff --git a/results/train/hyperbola/problem_4568.png b/results/train/hyperbola/problem_4568.png
new file mode 100644
index 0000000000000000000000000000000000000000..e21ff4edf99a73b0db46d872ac59adb9db78056b
--- /dev/null
+++ b/results/train/hyperbola/problem_4568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8dcf52e69c5901647f60368c0fb73316cdc907d23b8fb1d18ebd7de899828ff
+size 264879
diff --git a/results/train/hyperbola/problem_4577.png b/results/train/hyperbola/problem_4577.png
new file mode 100644
index 0000000000000000000000000000000000000000..7352123546614328f4ee383c5e12aba4d1a821fe
--- /dev/null
+++ b/results/train/hyperbola/problem_4577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53708c44df9486a50971bd2bad741fb60bec105b1bd5df85541c89d1a2ecda4e
+size 272402
diff --git a/results/train/hyperbola/problem_4582.png b/results/train/hyperbola/problem_4582.png
new file mode 100644
index 0000000000000000000000000000000000000000..d990e9eeaf343b9f678dbad843726d54fc59e242
--- /dev/null
+++ b/results/train/hyperbola/problem_4582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09af69195ca3acc737a24e4b4933fb24d0bda7eb3a548ad3cb505c97f6cf7b18
+size 285878
diff --git a/results/train/hyperbola/problem_4596.png b/results/train/hyperbola/problem_4596.png
new file mode 100644
index 0000000000000000000000000000000000000000..af8f58429a9e6c8d04f1dfad8dcc7dedac758307
--- /dev/null
+++ b/results/train/hyperbola/problem_4596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0dd804a54ffe288e6ace859beac6d0b87e84758e59ec88584cb9d1856c7ad074
+size 222297
diff --git a/results/train/hyperbola/problem_4597.png b/results/train/hyperbola/problem_4597.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1d4e176d3f40a187533077f34f63f047fab5c22
--- /dev/null
+++ b/results/train/hyperbola/problem_4597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b695d877acdc1d3e4a391adf16d310a99dbce406f74b3ae4fc223674a0d9942
+size 262870
diff --git a/results/train/hyperbola/problem_4606.png b/results/train/hyperbola/problem_4606.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8f0e67027ab0c266665c16abee64354e1b0423c
--- /dev/null
+++ b/results/train/hyperbola/problem_4606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e51b117d4d53f44d3138e6e09d5cd06d018b0a0676905f53a1b1f08a3a7c918b
+size 265553
diff --git a/results/train/hyperbola/problem_4607.png b/results/train/hyperbola/problem_4607.png
new file mode 100644
index 0000000000000000000000000000000000000000..4972e2ab7631e5eb6104e783e7acff9a81a14e6e
--- /dev/null
+++ b/results/train/hyperbola/problem_4607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0c5b9a7b3f800ab7f456fd5289c58882e2788b6505b1ecc7077292422f5880b
+size 249560
diff --git a/results/train/hyperbola/problem_4609.png b/results/train/hyperbola/problem_4609.png
new file mode 100644
index 0000000000000000000000000000000000000000..8461f3bae3016f258a22565d24eb616da57deed6
--- /dev/null
+++ b/results/train/hyperbola/problem_4609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ead1e9f851d0a16952fc82208f8cebf41339ed3c2ffee577753ceaf286f3c4c1
+size 236582
diff --git a/results/train/hyperbola/problem_4613.png b/results/train/hyperbola/problem_4613.png
new file mode 100644
index 0000000000000000000000000000000000000000..745eb242c92df073a49dd8d025bf27d1de70e4d0
--- /dev/null
+++ b/results/train/hyperbola/problem_4613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a9c100cc2d6a41adcefc1a1196dc58114b7df3a23feb6356a3de8d3a53eed0a
+size 233625
diff --git a/results/train/hyperbola/problem_4614.png b/results/train/hyperbola/problem_4614.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8c516ccb2555e34c6c23c750c5b03a9b2e1ced5
--- /dev/null
+++ b/results/train/hyperbola/problem_4614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f87ddf8b30412d8c0d3da3edddbbb4eb73eae4dbea6d61a09827faa267ebdd2
+size 270434
diff --git a/results/train/hyperbola/problem_4615.png b/results/train/hyperbola/problem_4615.png
new file mode 100644
index 0000000000000000000000000000000000000000..65cf5c5a24bd9a518e02809c13fe47e77b659e9f
--- /dev/null
+++ b/results/train/hyperbola/problem_4615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:310624a43280ae6df1c5bb32b1c0e33e15f69a5ecaf21c1f09fac688e8d3c8a3
+size 274741
diff --git a/results/train/hyperbola/problem_4616.png b/results/train/hyperbola/problem_4616.png
new file mode 100644
index 0000000000000000000000000000000000000000..707f24d5ee5a312756f408517b82840fc6ac34a7
--- /dev/null
+++ b/results/train/hyperbola/problem_4616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8eb3a3b1f1eeb88ca98383530d70b5d2ccae5882952d00af0da804708630436
+size 267257
diff --git a/results/train/hyperbola/problem_4623.png b/results/train/hyperbola/problem_4623.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ddf305c112044e6b9db63b298c40a7c74275f90
--- /dev/null
+++ b/results/train/hyperbola/problem_4623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e26c51aade11e980386c64a9f4ee618fe2ae0ee24aeebf7492ff1ce833d82a51
+size 268147
diff --git a/results/train/hyperbola/problem_4627.png b/results/train/hyperbola/problem_4627.png
new file mode 100644
index 0000000000000000000000000000000000000000..27dae2fa1915321fa496ab6620533c787ae0963c
--- /dev/null
+++ b/results/train/hyperbola/problem_4627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23024cf03bd9cb37e28ceb2e6c3e67a5d68fb0c9d0e50c0385017bc64c77002e
+size 276403
diff --git a/results/train/hyperbola/problem_4630.png b/results/train/hyperbola/problem_4630.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee81da818f5ea940a1054579ef2b835081a7c89c
--- /dev/null
+++ b/results/train/hyperbola/problem_4630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0504b5e98a9bf5729d0aec886f35386a5904563f6c7686d90162121e76a605ac
+size 258940
diff --git a/results/train/hyperbola/problem_4634.png b/results/train/hyperbola/problem_4634.png
new file mode 100644
index 0000000000000000000000000000000000000000..9be5b6ebbacbcff3f48138bb6bf18bd9e713b8ba
--- /dev/null
+++ b/results/train/hyperbola/problem_4634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e688b33dfbdcaeeea068e89e5d135a7f09161c5f812c988f3cfc853cc7d606b3
+size 259501
diff --git a/results/train/hyperbola/problem_4648.png b/results/train/hyperbola/problem_4648.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f0f7c6fa3395d40aa67207d304ea79faf6a724a
--- /dev/null
+++ b/results/train/hyperbola/problem_4648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0e0cbee542a8d2b1d8673cb913a921bfeabe0c7d27d1cca65eb745b8157f5a2
+size 256297
diff --git a/results/train/hyperbola/problem_4651.png b/results/train/hyperbola/problem_4651.png
new file mode 100644
index 0000000000000000000000000000000000000000..267663bfd37849c494ac5da923f40570e022c800
--- /dev/null
+++ b/results/train/hyperbola/problem_4651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59acdef7d095f8893a02b5bedae5c7e8b34a123a114a8c97d4c7022dcbeb58d6
+size 265211
diff --git a/results/train/hyperbola/problem_4653.png b/results/train/hyperbola/problem_4653.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1943ef7ee6531732569922c9266b32a2df3f522
--- /dev/null
+++ b/results/train/hyperbola/problem_4653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fd1899a01a31dccca0114dec5fccff8867cfb117506e03c756d6a28e05938a5
+size 240556
diff --git a/results/train/hyperbola/problem_4658.png b/results/train/hyperbola/problem_4658.png
new file mode 100644
index 0000000000000000000000000000000000000000..d75a77bf0425e182937ab553d6629c14259273a9
--- /dev/null
+++ b/results/train/hyperbola/problem_4658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd4760ec395a60af0359f01497114c10ff2adfcecc267a5bbf86d104bfec59d2
+size 243063
diff --git a/results/train/hyperbola/problem_4660.png b/results/train/hyperbola/problem_4660.png
new file mode 100644
index 0000000000000000000000000000000000000000..e961b4da34cdb3a205b3248b7efcbd6030d3c10e
--- /dev/null
+++ b/results/train/hyperbola/problem_4660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9bd51d1ed98ce356d1b3da285b8a156a491ed0e47b1757a8cdeeb522cd6f6ff
+size 247540
diff --git a/results/train/hyperbola/problem_4661.png b/results/train/hyperbola/problem_4661.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d561ce9187e4d60a740ea15a070d18cfa6ff16f
--- /dev/null
+++ b/results/train/hyperbola/problem_4661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a6164f95fb458200f1bf7070a80df132a78e1b7aca202186e9f936efa92aacc
+size 253278
diff --git a/results/train/hyperbola/problem_4666.png b/results/train/hyperbola/problem_4666.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef1ff06bdeb1cd4cd6e080b5bc1ff2529361b31c
--- /dev/null
+++ b/results/train/hyperbola/problem_4666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d470d5874e29f3fcb6bdf987c99e4ad9829d5f6d7cc5b9e4f72fb5bdbffc026
+size 272831
diff --git a/results/train/hyperbola/problem_4667.png b/results/train/hyperbola/problem_4667.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad2d6163692a7314025376d20b41594f616e3033
--- /dev/null
+++ b/results/train/hyperbola/problem_4667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0063a6bfb3601ae8b45da7129c7ce08d7f6945f1e668bead9ffb85ce7b72b59
+size 281080
diff --git a/results/train/hyperbola/problem_4672.png b/results/train/hyperbola/problem_4672.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d3a165b161e8fcabe73369da4a3abd966db8454
--- /dev/null
+++ b/results/train/hyperbola/problem_4672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27eb02254bfb2fa8ad4b4d6805bcc8ec85438fb24cff3465683969651c5d5669
+size 259838
diff --git a/results/train/hyperbola/problem_4673.png b/results/train/hyperbola/problem_4673.png
new file mode 100644
index 0000000000000000000000000000000000000000..43a782f92055be53e93d24c94fabb62cf147a5c7
--- /dev/null
+++ b/results/train/hyperbola/problem_4673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3eb9d51af56c7108595f04df855371ab3f9aeb1a93a13ae4396990d2e1e4e9f4
+size 266373
diff --git a/results/train/hyperbola/problem_4674.png b/results/train/hyperbola/problem_4674.png
new file mode 100644
index 0000000000000000000000000000000000000000..03ea949160b2e39112558af7f1f1e7f3079eea77
--- /dev/null
+++ b/results/train/hyperbola/problem_4674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c13d164b57a03b806507d215af89e92024b61816450cef7c0aa76ad5ae2d80d
+size 241849
diff --git a/results/train/hyperbola/problem_4680.png b/results/train/hyperbola/problem_4680.png
new file mode 100644
index 0000000000000000000000000000000000000000..14f3f43aa0e4629a56c1a5cf4d8360a54c80ab06
--- /dev/null
+++ b/results/train/hyperbola/problem_4680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32700e3893f29ac2c2a05447a62f59f74719cb9b72e310dea36b6df39f441722
+size 273849
diff --git a/results/train/hyperbola/problem_4681.png b/results/train/hyperbola/problem_4681.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c13ef4b49c91d379088d3f6a5aecd6b5b30db3a
--- /dev/null
+++ b/results/train/hyperbola/problem_4681.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e95741dfcdc12f71a58296b893994b55a3737575d63093fa96cc1ede128ec60
+size 268244
diff --git a/results/train/hyperbola/problem_4686.png b/results/train/hyperbola/problem_4686.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c55ced7b1eac5b8c4158c38d4d3779d62d1279c
--- /dev/null
+++ b/results/train/hyperbola/problem_4686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a196edb1e5d3b241a3cc5c5107e1ceb6f5cf228cf51716e54d38a45b026b8b55
+size 260290
diff --git a/results/train/hyperbola/problem_4689.png b/results/train/hyperbola/problem_4689.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e2886c51894e6dd65d32dc136ad8c17d23c28a4
--- /dev/null
+++ b/results/train/hyperbola/problem_4689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c32dd263a087c2f9cc69d694b304cf423568700bc589530f9cd1b8010cb6eb7
+size 266273
diff --git a/results/train/hyperbola/problem_4694.png b/results/train/hyperbola/problem_4694.png
new file mode 100644
index 0000000000000000000000000000000000000000..abb90640dcba786f772f2e1e2095028e461c305e
--- /dev/null
+++ b/results/train/hyperbola/problem_4694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78bec8d114f622825b7d68901280ee7e50724ed99e919dd8129aa55b5facb76d
+size 264680
diff --git a/results/train/hyperbola/problem_4704.png b/results/train/hyperbola/problem_4704.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb8078817491bd2fde56ae30f9269e0ee40d3915
--- /dev/null
+++ b/results/train/hyperbola/problem_4704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:975536c33df52d818a23813094155967cf75d8732db0f7e4f114b3f55441e01c
+size 307934
diff --git a/results/train/hyperbola/problem_4705.png b/results/train/hyperbola/problem_4705.png
new file mode 100644
index 0000000000000000000000000000000000000000..9045cb535e70d1111f26b272a203408330c7fd37
--- /dev/null
+++ b/results/train/hyperbola/problem_4705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22ef9017390cb85e738adac589de7cccdc6bbcb39d752c9f6599d03a3eb86bc9
+size 241861
diff --git a/results/train/hyperbola/problem_4706.png b/results/train/hyperbola/problem_4706.png
new file mode 100644
index 0000000000000000000000000000000000000000..db475058300164a7b45d9847e1d6ca3c883048a6
--- /dev/null
+++ b/results/train/hyperbola/problem_4706.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e0c6488063c872b3d89d396242c404171a9ccda447fdb233d2a1f948a01aa5e
+size 242586
diff --git a/results/train/hyperbola/problem_4707.png b/results/train/hyperbola/problem_4707.png
new file mode 100644
index 0000000000000000000000000000000000000000..d313984894a3158bc64eb367a03f906ad56a86b8
--- /dev/null
+++ b/results/train/hyperbola/problem_4707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b518ae1db2eccc93eadb8bea3cc294408d0ed5a0a6384424480846b1d98eb083
+size 259592
diff --git a/results/train/hyperbola/problem_4709.png b/results/train/hyperbola/problem_4709.png
new file mode 100644
index 0000000000000000000000000000000000000000..a54fbd1c94a5b260f7e7a2dfc74f18e7e8751ac6
--- /dev/null
+++ b/results/train/hyperbola/problem_4709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d449fec7a8f921e9f23999094041345b0bd51bda63b3d5fb227883083b64fe6d
+size 265318
diff --git a/results/train/hyperbola/problem_4716.png b/results/train/hyperbola/problem_4716.png
new file mode 100644
index 0000000000000000000000000000000000000000..978b1b87e7022de34d38ff5feafbc2c6900a3cf4
--- /dev/null
+++ b/results/train/hyperbola/problem_4716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3120338da1fb796d58e40cc27e989224e6f79119c94575410934f1eb3ee146bb
+size 272568
diff --git a/results/train/hyperbola/problem_4718.png b/results/train/hyperbola/problem_4718.png
new file mode 100644
index 0000000000000000000000000000000000000000..802713216f54ba04ba783e143e7313ccef7a67e0
--- /dev/null
+++ b/results/train/hyperbola/problem_4718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:162115c06873ced5f166b634bb1803f21f441211faa10198f0fbc453d9eb4337
+size 272397
diff --git a/results/train/hyperbola/problem_4720.png b/results/train/hyperbola/problem_4720.png
new file mode 100644
index 0000000000000000000000000000000000000000..289483b99585bdbe6b2ccf77969c60f40d05ef87
--- /dev/null
+++ b/results/train/hyperbola/problem_4720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40b4a855b05b060a56c2603653370e586c18831164f49e073a0b1aa5154f9409
+size 263808
diff --git a/results/train/hyperbola/problem_4721.png b/results/train/hyperbola/problem_4721.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f10049c3ebfd58a247178888a59172df6cd66f9
--- /dev/null
+++ b/results/train/hyperbola/problem_4721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4580dbb08da53577fd7a70e1d26b2976091d50a8d62af3948f8f066baed1c483
+size 270893
diff --git a/results/train/hyperbola/problem_4722.png b/results/train/hyperbola/problem_4722.png
new file mode 100644
index 0000000000000000000000000000000000000000..13bc504c356a4aa8ea17651075f9c8195b46d24f
--- /dev/null
+++ b/results/train/hyperbola/problem_4722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0578c207b6ebde3b7f49f3a92151f8315b1308a31ea7908671cf9144911f80a3
+size 279622
diff --git a/results/train/hyperbola/problem_4727.png b/results/train/hyperbola/problem_4727.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6cc752173eff92c0553bf5655bc80b01cdb4d3a
--- /dev/null
+++ b/results/train/hyperbola/problem_4727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40bd836519a02a1c32446740bd791b1ecf394a802e5555accb80becc85836fdb
+size 261329
diff --git a/results/train/hyperbola/problem_4730.png b/results/train/hyperbola/problem_4730.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb52d3485278e847ab6c7c8c10a5ea4f748f722b
--- /dev/null
+++ b/results/train/hyperbola/problem_4730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95dbcc0559b1eeadb1ca123f05079ae589254117b2446cb992ab2c31fd58a55a
+size 235867
diff --git a/results/train/hyperbola/problem_4735.png b/results/train/hyperbola/problem_4735.png
new file mode 100644
index 0000000000000000000000000000000000000000..83d6282a3046662df91660865357f9b81ffc58f8
--- /dev/null
+++ b/results/train/hyperbola/problem_4735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43c5f3bbd7ffc6c8230b1e46ca7642302a19ef8ce2cfdaa9ba90f587b3f466a9
+size 268270
diff --git a/results/train/hyperbola/problem_4739.png b/results/train/hyperbola/problem_4739.png
new file mode 100644
index 0000000000000000000000000000000000000000..24ced352e4b8364af8b6a5a5b710ae12b40c18c0
--- /dev/null
+++ b/results/train/hyperbola/problem_4739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d4ccb34c99be7f50aecc9d2a8b0fd18950e9052a0b9ba677f80f69f75be09ae
+size 272672
diff --git a/results/train/hyperbola/problem_4746.png b/results/train/hyperbola/problem_4746.png
new file mode 100644
index 0000000000000000000000000000000000000000..58ad1d01b795f6ca55bec37a7fe4d88aefc44740
--- /dev/null
+++ b/results/train/hyperbola/problem_4746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6603b713ce990e9c84d9d9cef56e9f7c5287bdad3e98a8316f5ce928d04ac2eb
+size 327474
diff --git a/results/train/hyperbola/problem_4748.png b/results/train/hyperbola/problem_4748.png
new file mode 100644
index 0000000000000000000000000000000000000000..93c20458416809cb11497fc6aa74d11becc3769a
--- /dev/null
+++ b/results/train/hyperbola/problem_4748.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92ffd92589c2f1a7f017724074770b606323fc1f9320453b4bb18506a1f70b6b
+size 269256
diff --git a/results/train/hyperbola/problem_4749.png b/results/train/hyperbola/problem_4749.png
new file mode 100644
index 0000000000000000000000000000000000000000..9230d9495c65ffdbeba62180462ff348dc7e5d83
--- /dev/null
+++ b/results/train/hyperbola/problem_4749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:625e9e4c82ed3d8375d7298ec745fd7c9ff0987a2bce7c6053b7bfc7bf28e2fa
+size 260109
diff --git a/results/train/hyperbola/problem_4756.png b/results/train/hyperbola/problem_4756.png
new file mode 100644
index 0000000000000000000000000000000000000000..b45d21bc88b1665e3287356239ad465583f5a051
--- /dev/null
+++ b/results/train/hyperbola/problem_4756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7126f28810c8d3097339e242cefd44f33cf2a3c923c92dd4ca2a498d2aa711af
+size 273631
diff --git a/results/train/hyperbola/problem_4763.png b/results/train/hyperbola/problem_4763.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f708b3f8ca2398d7273cb8d283ce264eeda242d
--- /dev/null
+++ b/results/train/hyperbola/problem_4763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d1d340dd2b853334fccf79d34361c750f90d54e15498bc32acb2b00dd6dbc28
+size 258908
diff --git a/results/train/hyperbola/problem_4764.png b/results/train/hyperbola/problem_4764.png
new file mode 100644
index 0000000000000000000000000000000000000000..84870d7f1d9a82e076888a0ec6746641ece1f44e
--- /dev/null
+++ b/results/train/hyperbola/problem_4764.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07813f2eeeaf0a2b2114bae1d563dd1acf0c6b9442a7b74c91c4f743bc9a3e32
+size 274323
diff --git a/results/train/hyperbola/problem_4767.png b/results/train/hyperbola/problem_4767.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5c0fad6b67c64f98696c94581695fe047284c9e
--- /dev/null
+++ b/results/train/hyperbola/problem_4767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5cd0287ec11fd8b826891351d3563f04cbc76a989182d8aefd451642a396743
+size 272327
diff --git a/results/train/hyperbola/problem_4772.png b/results/train/hyperbola/problem_4772.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcc638744612d1b1ae3afa2e481e639aa7f9201c
--- /dev/null
+++ b/results/train/hyperbola/problem_4772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:234a23d5abbae2acced5ce103e2da651035331772908354fbf606b56901e9964
+size 257965
diff --git a/results/train/hyperbola/problem_4775.png b/results/train/hyperbola/problem_4775.png
new file mode 100644
index 0000000000000000000000000000000000000000..27f3bc08f13bc792b7ba2c2bb7009bcb49b4942e
--- /dev/null
+++ b/results/train/hyperbola/problem_4775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bec49c1feef0aa7686259fb5d097ac5768f40d5112f566bd4d0fb3bd50d2acdf
+size 284532
diff --git a/results/train/hyperbola/problem_4776.png b/results/train/hyperbola/problem_4776.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cac263a1e338d7393991fb12e69783d25f216b2
--- /dev/null
+++ b/results/train/hyperbola/problem_4776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:193fdbfda26115525547bfd09f9033698aaf2e479eb99595ebe298b374a60bd3
+size 265417
diff --git a/results/train/hyperbola/problem_4783.png b/results/train/hyperbola/problem_4783.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3c94ca896cfd40c004119842f9db080bf0cb494
--- /dev/null
+++ b/results/train/hyperbola/problem_4783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d8c4844aa8bd168072e958fb8f8539bf26b6982842a10f001ad1354f52f8f39
+size 275027
diff --git a/results/train/hyperbola/problem_4797.png b/results/train/hyperbola/problem_4797.png
new file mode 100644
index 0000000000000000000000000000000000000000..048b66b11af4d93c4935e2f123e7b1b6def6ec98
--- /dev/null
+++ b/results/train/hyperbola/problem_4797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0a6ad261b3f4a09241ebc05606283909caafdd2b1c5f485f137b69e9c4b02ba
+size 259686
diff --git a/results/train/hyperbola/problem_4803.png b/results/train/hyperbola/problem_4803.png
new file mode 100644
index 0000000000000000000000000000000000000000..3503d8a94616ea9a7b1a92798f203b70e0f20d20
--- /dev/null
+++ b/results/train/hyperbola/problem_4803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f408996e0524380bf0f3f08243c3d138ba45de1765544ac001a4246266cda37a
+size 251841
diff --git a/results/train/hyperbola/problem_4812.png b/results/train/hyperbola/problem_4812.png
new file mode 100644
index 0000000000000000000000000000000000000000..5cb2a85f10b0779492a867b71dcc302d8bbd5c0b
--- /dev/null
+++ b/results/train/hyperbola/problem_4812.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2a6fdd93c02914df9f09340f8926ffd8faad82ff6f7e6f0207931c11c52db26
+size 257993
diff --git a/results/train/hyperbola/problem_4813.png b/results/train/hyperbola/problem_4813.png
new file mode 100644
index 0000000000000000000000000000000000000000..266f35a107fd55e4c521ee3cde9724eba8730bf9
--- /dev/null
+++ b/results/train/hyperbola/problem_4813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebde8dab347a2e5d9f33b405a875dd148dacb5b9e35406261c70dce1ec601461
+size 266748
diff --git a/results/train/hyperbola/problem_4816.png b/results/train/hyperbola/problem_4816.png
new file mode 100644
index 0000000000000000000000000000000000000000..d207a6e671c32547adc222b53d349de8678f2f04
--- /dev/null
+++ b/results/train/hyperbola/problem_4816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b188bb2169c4038059995185627015f91061d5383fd587ec1e8d2f3a82e3f16
+size 270683
diff --git a/results/train/hyperbola/problem_4824.png b/results/train/hyperbola/problem_4824.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbcdbc5e144baf3da4074a3c121f20400e7aacf9
--- /dev/null
+++ b/results/train/hyperbola/problem_4824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:281cb50080de2a90a9e7009f784725b5f53025aaf627ed235995314cc14d5a6f
+size 251596
diff --git a/results/train/hyperbola/problem_4826.png b/results/train/hyperbola/problem_4826.png
new file mode 100644
index 0000000000000000000000000000000000000000..97b6a0bbdedb2132badc6759285a340912401f08
--- /dev/null
+++ b/results/train/hyperbola/problem_4826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:574abb76bf8dd90ea3d97a119d0e2d35ea4942673147ee18ce0578001e12d258
+size 266018
diff --git a/results/train/hyperbola/problem_4845.png b/results/train/hyperbola/problem_4845.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4e93b52d62be9e316077f9b0fa8b501bb480c21
--- /dev/null
+++ b/results/train/hyperbola/problem_4845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c5f009d8b2ade8cc07a723be52e1ada84ef45d1ca7d838f8736afd0d7f907d1
+size 261434
diff --git a/results/train/hyperbola/problem_4851.png b/results/train/hyperbola/problem_4851.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e301e537dceb216327aeec801fd9b7115b2d5ee
--- /dev/null
+++ b/results/train/hyperbola/problem_4851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7ec09e4565f6fe2fef5c1f51b780a4c0437eef0b1a769d49cd56842d2f3f131
+size 260586
diff --git a/results/train/hyperbola/problem_4852.png b/results/train/hyperbola/problem_4852.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ef9ac35105d422019c1f258c0c2e81c30d384b5
--- /dev/null
+++ b/results/train/hyperbola/problem_4852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4046372a3ccd2db2c30c85aa976aedee5905469b1436910736bc7736e6c710f0
+size 271668
diff --git a/results/train/hyperbola/problem_4858.png b/results/train/hyperbola/problem_4858.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e38351613f6283806899193aa4275634d695dbc
--- /dev/null
+++ b/results/train/hyperbola/problem_4858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc877031b90f93c40f248974090b0eb2706d3b02943929a5394120a67b93a60a
+size 280200
diff --git a/results/train/hyperbola/problem_4862.png b/results/train/hyperbola/problem_4862.png
new file mode 100644
index 0000000000000000000000000000000000000000..100f4b616f14f2431afd66475e31bfc7421a09f7
--- /dev/null
+++ b/results/train/hyperbola/problem_4862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c66d295d2e52f32919576f370d0eb851ed52705ad2672f770b3a382b369f558
+size 270513
diff --git a/results/train/hyperbola/problem_4870.png b/results/train/hyperbola/problem_4870.png
new file mode 100644
index 0000000000000000000000000000000000000000..30665f727d405d47f34b8c1e99cade89b3ff1471
--- /dev/null
+++ b/results/train/hyperbola/problem_4870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2549efe2e8beb5bd65904a4244d1250e4e8387a701a6e38432bbcc93baf5cbd5
+size 248221
diff --git a/results/train/hyperbola/problem_4872.png b/results/train/hyperbola/problem_4872.png
new file mode 100644
index 0000000000000000000000000000000000000000..88c169d0a4551e78e23e31e02a3abf8d1eb32dee
--- /dev/null
+++ b/results/train/hyperbola/problem_4872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe46695a11b35cd86207ca138b352c1fd344641216f71d4ae56a4604d3bbf35e
+size 270586
diff --git a/results/train/hyperbola/problem_4874.png b/results/train/hyperbola/problem_4874.png
new file mode 100644
index 0000000000000000000000000000000000000000..de31f4e76bf28a63aa9e61bd4fff0adf910e4722
--- /dev/null
+++ b/results/train/hyperbola/problem_4874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f7f6087df6bac8b3b3739026ba6900725fc9e0be45772c802cf82f8c0bb7833
+size 268784
diff --git a/results/train/hyperbola/problem_4875.png b/results/train/hyperbola/problem_4875.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9a550022949654329afbc3808fedbaf99bb3ab2
--- /dev/null
+++ b/results/train/hyperbola/problem_4875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0514d03b737ae57764d722efc3ca71d1d20a310d8ddb501f6d671554e842be0
+size 269067
diff --git a/results/train/hyperbola/problem_4876.png b/results/train/hyperbola/problem_4876.png
new file mode 100644
index 0000000000000000000000000000000000000000..d30d37712aab04f3a0a0e1498b92d30270a7f718
--- /dev/null
+++ b/results/train/hyperbola/problem_4876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:400586f6641938bde31b2a0a6841dd4ac7b7393444252a0980966e2e8b13af11
+size 261445
diff --git a/results/train/hyperbola/problem_4881.png b/results/train/hyperbola/problem_4881.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8abfaba22a961ffb828613ecd72fcd20bb942f4
--- /dev/null
+++ b/results/train/hyperbola/problem_4881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a781fd56e9856601d1cec5b467da5f2c9da1580ef5dccba283f150b9de23a7a
+size 272263
diff --git a/results/train/hyperbola/problem_4884.png b/results/train/hyperbola/problem_4884.png
new file mode 100644
index 0000000000000000000000000000000000000000..935d0c491aa0c31af738d4a5fb2043a7ad5f8e98
--- /dev/null
+++ b/results/train/hyperbola/problem_4884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55425c913d36f8fc0ded88612066c392abccf30eb01a377fa3ac80fdde54af08
+size 284680
diff --git a/results/train/hyperbola/problem_4893.png b/results/train/hyperbola/problem_4893.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc035455c7fd47e0f811fa3d4df1ea96faf2a012
--- /dev/null
+++ b/results/train/hyperbola/problem_4893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da2dfcc0dea837724246bc2cfa3ac8565007bd855c873fb5ac77fd126009bd2d
+size 254269
diff --git a/results/train/hyperbola/problem_4897.png b/results/train/hyperbola/problem_4897.png
new file mode 100644
index 0000000000000000000000000000000000000000..36c5f75f61864143dc4d1b011dbc45762a9b8edf
--- /dev/null
+++ b/results/train/hyperbola/problem_4897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:980ed230324b1132187d6a0c662981971f3268c50028591f941611ed8dc66706
+size 263595
diff --git a/results/train/hyperbola/problem_4899.png b/results/train/hyperbola/problem_4899.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a8dccb4fcd758df40cf95c1c35170f378f2d638
--- /dev/null
+++ b/results/train/hyperbola/problem_4899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6474b3ff1b500124a92f5a8cfa1f0b2f56fce6d4f83ec30f4b1c655344f79855
+size 265647
diff --git a/results/train/hyperbola/problem_4904.png b/results/train/hyperbola/problem_4904.png
new file mode 100644
index 0000000000000000000000000000000000000000..f15a9cc4bd24760a8cc18f4b63697dd40eeb29a5
--- /dev/null
+++ b/results/train/hyperbola/problem_4904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a73bcf92de8d4ac642a4deeed9c4122f981a70b9413d3831fc4aee21e73f056a
+size 265114
diff --git a/results/train/hyperbola/problem_4906.png b/results/train/hyperbola/problem_4906.png
new file mode 100644
index 0000000000000000000000000000000000000000..67862c04ea30a01b02c739383aeaa71529af71e2
--- /dev/null
+++ b/results/train/hyperbola/problem_4906.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82b562552d4b099f4d1e746a3912a63fdc109b947d7f0d858747c69801ed49dd
+size 268694
diff --git a/results/train/hyperbola/problem_4910.png b/results/train/hyperbola/problem_4910.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5d9e5e741c8fb4d9de83f7d59ee6e7e49fe80b3
--- /dev/null
+++ b/results/train/hyperbola/problem_4910.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bbd96d519115b3cfc1be08724120d31476757c9e11520a2aa798168002736df
+size 235822
diff --git a/results/train/hyperbola/problem_4915.png b/results/train/hyperbola/problem_4915.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c8613c3d36e977ef664098f2b5ae631b80635e6
--- /dev/null
+++ b/results/train/hyperbola/problem_4915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fd6252b171f2d46c2860a8ec099c99c627037a7efa723035e1130c6c6388c58
+size 251035
diff --git a/results/train/hyperbola/problem_4916.png b/results/train/hyperbola/problem_4916.png
new file mode 100644
index 0000000000000000000000000000000000000000..6bd08fc055ed203cd1416e9f66d9e0afbc9704bb
--- /dev/null
+++ b/results/train/hyperbola/problem_4916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:507d835ccf1f72514a35690efdd1023b39ee673afb6796a15100a2e6d154eaea
+size 258150
diff --git a/results/train/hyperbola/problem_4918.png b/results/train/hyperbola/problem_4918.png
new file mode 100644
index 0000000000000000000000000000000000000000..05f3f0dc95329ef16dbc3d0a0973731d5b3dfc8a
--- /dev/null
+++ b/results/train/hyperbola/problem_4918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1059d6e56315a4e0f11df6e2928bc38210db5953f0b4c93b3c202832101a9332
+size 233211
diff --git a/results/train/hyperbola/problem_4919.png b/results/train/hyperbola/problem_4919.png
new file mode 100644
index 0000000000000000000000000000000000000000..0724fd9a0a4c388abc440f4da9a5c5ebeb4c3f19
--- /dev/null
+++ b/results/train/hyperbola/problem_4919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88eb9e7bdf576f78fa92685b648eaf84a561e68f6d697c73139b7db26bcc25f6
+size 265102
diff --git a/results/train/hyperbola/problem_4922.png b/results/train/hyperbola/problem_4922.png
new file mode 100644
index 0000000000000000000000000000000000000000..90d03c0cfb02ea74043758053a5f0d0f5717bd1c
--- /dev/null
+++ b/results/train/hyperbola/problem_4922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b82f71d3c52dd9ae9a93713cebd898e27cf1fa4b4ecfdb4566a0e9061db58ff
+size 258782
diff --git a/results/train/hyperbola/problem_4923.png b/results/train/hyperbola/problem_4923.png
new file mode 100644
index 0000000000000000000000000000000000000000..01ffd927991b4639edd02932fcef8823121be0ec
--- /dev/null
+++ b/results/train/hyperbola/problem_4923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77ba23df460c6749c603b23fa4dd864fdd461ac36f666986444a3fb474a32baa
+size 269006
diff --git a/results/train/hyperbola/problem_4927.png b/results/train/hyperbola/problem_4927.png
new file mode 100644
index 0000000000000000000000000000000000000000..25a66374912036ae1d9793badcfc8499cbe641c3
--- /dev/null
+++ b/results/train/hyperbola/problem_4927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b19b307c44ae5663db1afad467b7a6773bfc3d7b949370f6a8ede8560198ad03
+size 256148
diff --git a/results/train/hyperbola/problem_4930.png b/results/train/hyperbola/problem_4930.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e966acc5e9685a79cc2f201ee5adcdb8bd96de7
--- /dev/null
+++ b/results/train/hyperbola/problem_4930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4d6aae03420f708a3ed1de3d2b2ec6667c56c968b9075c26ca01f47c7e8ae25
+size 269349
diff --git a/results/train/hyperbola/problem_4932.png b/results/train/hyperbola/problem_4932.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac6df68c31b43e3ef4df3b9dc889924e4e4fe586
--- /dev/null
+++ b/results/train/hyperbola/problem_4932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd9c019d1d34555eeb10318498066197bad16a1df02f94a78191271e6a05f28c
+size 273772
diff --git a/results/train/hyperbola/problem_4935.png b/results/train/hyperbola/problem_4935.png
new file mode 100644
index 0000000000000000000000000000000000000000..aee18c1f96043949e7c053b75a2c6e00e74cddc2
--- /dev/null
+++ b/results/train/hyperbola/problem_4935.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42176479805ef5088ffac34ea07acd54c8519864d167a91d93ef73370022f748
+size 284075
diff --git a/results/train/hyperbola/problem_4939.png b/results/train/hyperbola/problem_4939.png
new file mode 100644
index 0000000000000000000000000000000000000000..960dc96d18ffab927b56e4be902fbe4fbe63d5a1
--- /dev/null
+++ b/results/train/hyperbola/problem_4939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4aacf45deb3c735692039370c449b46b7d82d2c2fc026e6cd5144ba4ab6783f
+size 268530
diff --git a/results/train/hyperbola/problem_4947.png b/results/train/hyperbola/problem_4947.png
new file mode 100644
index 0000000000000000000000000000000000000000..e414fe9bd68068d596eb0286207aa58659613fdc
--- /dev/null
+++ b/results/train/hyperbola/problem_4947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a8a9366422b4560962b74f24abd5a1450836b96c69d1dc18c6fa82a5fb2335f
+size 262711
diff --git a/results/train/hyperbola/problem_4951.png b/results/train/hyperbola/problem_4951.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8db04c13fcc4535baff750549a853c39cc42f4b
--- /dev/null
+++ b/results/train/hyperbola/problem_4951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f983cc5b07aa4ad85ecda02fe258bb222def790fcadb0a751e9938d531b5375
+size 258273
diff --git a/results/train/hyperbola/problem_4955.png b/results/train/hyperbola/problem_4955.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ee5300542fff6bc64402102fcd22cbc5fe30e89
--- /dev/null
+++ b/results/train/hyperbola/problem_4955.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b44da069f7e95d26c6650dfd3499862715ff403cabbc0f61115a25b5d977b359
+size 237103
diff --git a/results/train/hyperbola/problem_4957.png b/results/train/hyperbola/problem_4957.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c71b8ef0bbe7bfe12be8a8dd1d7cbced84156bc
--- /dev/null
+++ b/results/train/hyperbola/problem_4957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8574545d1094c6adcd8616eaeac382ece49c5b527c8723cc83b83f69b8da817
+size 264930
diff --git a/results/train/hyperbola/problem_4960.png b/results/train/hyperbola/problem_4960.png
new file mode 100644
index 0000000000000000000000000000000000000000..8abe7c93a5149ab61ff3f3e5bf09b63c543a3c03
--- /dev/null
+++ b/results/train/hyperbola/problem_4960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:256a75bcdf2bd035403421678f958cb7dbf12328b012eb14a58a93692d7d46ca
+size 268978
diff --git a/results/train/hyperbola/problem_4965.png b/results/train/hyperbola/problem_4965.png
new file mode 100644
index 0000000000000000000000000000000000000000..5859150320ed60f59c6cf433611ac5c941a131a9
--- /dev/null
+++ b/results/train/hyperbola/problem_4965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2cbd9c4b44033dbc9a4d4414051e3296d43573fcb514267a89a57b6f1430d29c
+size 257552
diff --git a/results/train/hyperbola/problem_4970.png b/results/train/hyperbola/problem_4970.png
new file mode 100644
index 0000000000000000000000000000000000000000..374b580066da39fe5b9b6628d7699d3e44932b47
--- /dev/null
+++ b/results/train/hyperbola/problem_4970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5e3a4fa45e87e0f5040af2f0bfd91c3e8af686b370afdc410559b714d627044
+size 265190
diff --git a/results/train/hyperbola/problem_4972.png b/results/train/hyperbola/problem_4972.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ed5fba580267100877d0b9310243a7e9d05037b
--- /dev/null
+++ b/results/train/hyperbola/problem_4972.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:059064723e134b13ac6ce190529a6a69569eef659dbbc46da62102b5c7ab2a0c
+size 264564
diff --git a/results/train/hyperbola/problem_4981.png b/results/train/hyperbola/problem_4981.png
new file mode 100644
index 0000000000000000000000000000000000000000..26f86aad1192f976eb14979d06037db35284aa2a
--- /dev/null
+++ b/results/train/hyperbola/problem_4981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f1e75ac966b1d7b4d40fdca7bf0db1c0c25258591bc77fc9872e9a8924b3cb5
+size 259583
diff --git a/results/train/hyperbola/problem_4982.png b/results/train/hyperbola/problem_4982.png
new file mode 100644
index 0000000000000000000000000000000000000000..08b46a1564a96f752d2b58bc65f548a91ff09cfd
--- /dev/null
+++ b/results/train/hyperbola/problem_4982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4baeeb5a8001e4d53e9aaa1681cf2bcde5b9c01351e94a930ab515c8b8634a0d
+size 261865
diff --git a/results/train/hyperbola/problem_4985.png b/results/train/hyperbola/problem_4985.png
new file mode 100644
index 0000000000000000000000000000000000000000..7406f6cb09ad62f09acc9945c41e982fda665ad5
--- /dev/null
+++ b/results/train/hyperbola/problem_4985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d13e4b561b8bba0df2b8ce2597da58c872097f4a3277e224b2f86e7405afdd01
+size 261592
diff --git a/results/train/hyperbola/problem_4986.png b/results/train/hyperbola/problem_4986.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd045e42d768fa4b173f1d6723a6e2364938f9d4
--- /dev/null
+++ b/results/train/hyperbola/problem_4986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac65dac12d0102577e98025a6cf2ab7fecf5c8287066314bf2ca38583e2a137a
+size 220217
diff --git a/results/train/hyperbola/problem_4989.png b/results/train/hyperbola/problem_4989.png
new file mode 100644
index 0000000000000000000000000000000000000000..66e247a73987016504df6b59e68828e092bbf4a1
--- /dev/null
+++ b/results/train/hyperbola/problem_4989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6348d3dd7f472f5bab0177c69ef92df88f5144260088559724c6128820e16637
+size 256729
diff --git a/results/train/hyperbola/problem_4999.png b/results/train/hyperbola/problem_4999.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef63c2d2d2c1f92b01081bb708799d1886769124
--- /dev/null
+++ b/results/train/hyperbola/problem_4999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff6e17eb50577adfd984d5b9381e1eb75d08b87056b4618ebc5e0b8a9612268d
+size 269149
diff --git a/results/train/hyperbola/problem_5001.png b/results/train/hyperbola/problem_5001.png
new file mode 100644
index 0000000000000000000000000000000000000000..794335d1692aff32113717ac5f223f9833c48cfa
--- /dev/null
+++ b/results/train/hyperbola/problem_5001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55d595851a82e6b23fc5472b699e9b7a8e3641af7fe049656b4ffd0441e9862a
+size 279808
diff --git a/results/train/hyperbola/problem_5004.png b/results/train/hyperbola/problem_5004.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba2e09598b2d248d63ad6fd87421a0b4dc31bf04
--- /dev/null
+++ b/results/train/hyperbola/problem_5004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73028483c35a0967740037cb44679b90335914ab77bb0ad02598c320e1952a2d
+size 275192
diff --git a/results/train/hyperbola/problem_5013.png b/results/train/hyperbola/problem_5013.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ca475db910bf4a7cd4f7cd73dbc190a519ac234
--- /dev/null
+++ b/results/train/hyperbola/problem_5013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2088288dd6e61e9efcbba7922cf7decdb98de61bc9b4559983e971022f47a6a7
+size 255760
diff --git a/results/train/hyperbola/problem_5014.png b/results/train/hyperbola/problem_5014.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd24be2674db35bd13593d698c8f19f607b5ce5f
--- /dev/null
+++ b/results/train/hyperbola/problem_5014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54ef2671dd1f709e1858ecc5ccaca8181399cbbd25b4608d95c3034c9ed482d9
+size 250240
diff --git a/results/train/hyperbola/problem_5016.png b/results/train/hyperbola/problem_5016.png
new file mode 100644
index 0000000000000000000000000000000000000000..d67dce58fb784a58a95dbfee81851796f46476ba
--- /dev/null
+++ b/results/train/hyperbola/problem_5016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fe82f5b692480ba1ffb22b1b9e288b13975d41c02d78fc3a5624a16c8f0272b
+size 284323
diff --git a/results/train/hyperbola/problem_5017.png b/results/train/hyperbola/problem_5017.png
new file mode 100644
index 0000000000000000000000000000000000000000..af00140c449327777d74ad88730e40f837392bf5
--- /dev/null
+++ b/results/train/hyperbola/problem_5017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1abe2a8817561afa1352ca603f1019b5f4a8fd9fcc79de4afd6810f1d4163675
+size 259942
diff --git a/results/train/hyperbola/problem_5021.png b/results/train/hyperbola/problem_5021.png
new file mode 100644
index 0000000000000000000000000000000000000000..eef5e47e67bd5ac260a4cfc4bd6701c96ffc2a75
--- /dev/null
+++ b/results/train/hyperbola/problem_5021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2211076e433eecf1fa64ef0ee4ce6fa0178f3126e927c5f9f609f852bed6d7d2
+size 259896
diff --git a/results/train/hyperbola/problem_5022.png b/results/train/hyperbola/problem_5022.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b294ae8e16010e11486459418ff6b1be37e304c
--- /dev/null
+++ b/results/train/hyperbola/problem_5022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e533fa8b9e3ee921abac4ab7c9a492efea9b63c6d0f6984425a7bd3f63bb5ed
+size 226852
diff --git a/results/train/hyperbola/problem_5030.png b/results/train/hyperbola/problem_5030.png
new file mode 100644
index 0000000000000000000000000000000000000000..d921ffa4ac04d09e61dc83405ab195c71fe408f2
--- /dev/null
+++ b/results/train/hyperbola/problem_5030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30f0256739ef4002335f9a27a6df46181d7b0d4dbd0f6ac3e74ecae3471252bf
+size 270905
diff --git a/results/train/hyperbola/problem_5031.png b/results/train/hyperbola/problem_5031.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa087cde1e9ce9fd16cb79042d8ebe30fd95aca0
--- /dev/null
+++ b/results/train/hyperbola/problem_5031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c34fe6e4c9a4e8c3a2b3605476b087dd6da1eb383844091652e986f570d9f02
+size 262663
diff --git a/results/train/hyperbola/problem_5034.png b/results/train/hyperbola/problem_5034.png
new file mode 100644
index 0000000000000000000000000000000000000000..76446d6c4940cd3b449df327d8ef63653442a92e
--- /dev/null
+++ b/results/train/hyperbola/problem_5034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcf8ad5643c18fe5e92d767962020f0212f9045ebb316f477dbad0b8896a220e
+size 276826
diff --git a/results/train/hyperbola/problem_5035.png b/results/train/hyperbola/problem_5035.png
new file mode 100644
index 0000000000000000000000000000000000000000..5980cbe719f310065e918ed4705d096d1b3b4dfc
--- /dev/null
+++ b/results/train/hyperbola/problem_5035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72f56fa1091d1d2a640a3116a78c36078baa2607989c11ad500b9325bc28441a
+size 258864
diff --git a/results/train/hyperbola/problem_5036.png b/results/train/hyperbola/problem_5036.png
new file mode 100644
index 0000000000000000000000000000000000000000..27c66078e07918cee778049f31ef5bb775c6e538
--- /dev/null
+++ b/results/train/hyperbola/problem_5036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a914adf51402dae4375ab1958d6f12d48b2a055c759ac5ecca908a80295aca33
+size 265885
diff --git a/results/train/hyperbola/problem_5039.png b/results/train/hyperbola/problem_5039.png
new file mode 100644
index 0000000000000000000000000000000000000000..570f39627477cbab91b9bb2c0569d738932bcea2
--- /dev/null
+++ b/results/train/hyperbola/problem_5039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed7c9c27cebdc8e89aa3ee061b87fa5f1fe6679ba59abfd89dfb61b699866a80
+size 268426
diff --git a/results/train/hyperbola/problem_5041.png b/results/train/hyperbola/problem_5041.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e6023b5ca0008cc4e5854f24ad655ec1dd6e29a
--- /dev/null
+++ b/results/train/hyperbola/problem_5041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22c888df257770960ea7b30f49bb2185090074e6733fedf427102949b53a9296
+size 246964
diff --git a/results/train/hyperbola/problem_5046.png b/results/train/hyperbola/problem_5046.png
new file mode 100644
index 0000000000000000000000000000000000000000..67d88aa776dc4e232ad340e59961fee8294973b3
--- /dev/null
+++ b/results/train/hyperbola/problem_5046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ad3b7561c26bec752367eeb19164b4fd214792616ed4caea8851ba4900b17a6
+size 274592
diff --git a/results/train/hyperbola/problem_5054.png b/results/train/hyperbola/problem_5054.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ab2677749efd97c9e6805e83126566a0dadbe5d
--- /dev/null
+++ b/results/train/hyperbola/problem_5054.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d525b8aad37fb755d4c60ccddc974c031c1640b3e19a4069126fbc186db018a
+size 264004
diff --git a/results/train/hyperbola/problem_5057.png b/results/train/hyperbola/problem_5057.png
new file mode 100644
index 0000000000000000000000000000000000000000..a932ceeec7ecbcabf7f70524d4e311c535d70db4
--- /dev/null
+++ b/results/train/hyperbola/problem_5057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a72bf171224092047d5c17f64a08ebeeef9d75cbbe703d825b1d05e0f5fc79ee
+size 251760
diff --git a/results/train/hyperbola/problem_5059.png b/results/train/hyperbola/problem_5059.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3f8b1845fe2b1913f86e3d3e49782f8e2081486
--- /dev/null
+++ b/results/train/hyperbola/problem_5059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f24bbe1427d46b5fe137f09c3e4c05d57a21fc353bc2c314788c91d99d955779
+size 269785
diff --git a/results/train/hyperbola/problem_5066.png b/results/train/hyperbola/problem_5066.png
new file mode 100644
index 0000000000000000000000000000000000000000..da3c9d21fd1b6242fe11767665ecc029cdf5f316
--- /dev/null
+++ b/results/train/hyperbola/problem_5066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84785b33528e55c7fa3c2539cc2036fcebea43570d11302b5cbd6535ae3a8d29
+size 258024
diff --git a/results/train/hyperbola/problem_5067.png b/results/train/hyperbola/problem_5067.png
new file mode 100644
index 0000000000000000000000000000000000000000..34798b7a57b0ae14915f24058cd0a2943f8c5779
--- /dev/null
+++ b/results/train/hyperbola/problem_5067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79b74de408e9d96ebc44f07bd2b9b212b2ec4bc90254c533ce3c4760bff4e1c8
+size 274804
diff --git a/results/train/hyperbola/problem_5070.png b/results/train/hyperbola/problem_5070.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7e7ad02a91b74053ad3975da08efcf58dc2692d
--- /dev/null
+++ b/results/train/hyperbola/problem_5070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34f1db12530212e7c72106e353116b308cca06509ccac32b090ed9e521ebac82
+size 272516
diff --git a/results/train/hyperbola/problem_5077.png b/results/train/hyperbola/problem_5077.png
new file mode 100644
index 0000000000000000000000000000000000000000..d09a7f0ddf472091b9f05b871522f99f17f87d92
--- /dev/null
+++ b/results/train/hyperbola/problem_5077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d8819f5aefb5fee413bf7d3e9c50f24b1587ad653d287b1793122f3ec90ae37
+size 262859
diff --git a/results/train/hyperbola/problem_5083.png b/results/train/hyperbola/problem_5083.png
new file mode 100644
index 0000000000000000000000000000000000000000..9243684091b9c810ef73f761951d89a4eb17d7e7
--- /dev/null
+++ b/results/train/hyperbola/problem_5083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6011d353567673d6b2bf915d88488635ca10a36dc1086e1dae9fef7108354e36
+size 272708
diff --git a/results/train/hyperbola/problem_5087.png b/results/train/hyperbola/problem_5087.png
new file mode 100644
index 0000000000000000000000000000000000000000..be4300a4f99f97e55d1c5b5213a410e99d7f746e
--- /dev/null
+++ b/results/train/hyperbola/problem_5087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5fece5b8bc10a9415353901d47d5c35d1e7056d231a6e2ef673624c73c39e60
+size 240737
diff --git a/results/train/hyperbola/problem_5089.png b/results/train/hyperbola/problem_5089.png
new file mode 100644
index 0000000000000000000000000000000000000000..f75f6888413bca995fa51186d9a7d3061c74ae96
--- /dev/null
+++ b/results/train/hyperbola/problem_5089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1baaec58c3a69f46538a057e9e066a019978fe628e108fe5a2c002d13dddc693
+size 268358
diff --git a/results/train/hyperbola/problem_5096.png b/results/train/hyperbola/problem_5096.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9724c28856ef4594e11930af35179dc7e6bd867
--- /dev/null
+++ b/results/train/hyperbola/problem_5096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fa856a5980b1771bdd8163d285bb401e6baa07cc1ffce868375f5fbb6a196a1
+size 266494
diff --git a/results/train/hyperbola/problem_5098.png b/results/train/hyperbola/problem_5098.png
new file mode 100644
index 0000000000000000000000000000000000000000..d06b2781e9ecb2497a96971834514417177a1042
--- /dev/null
+++ b/results/train/hyperbola/problem_5098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6836a288275c9f5779b8d6384f0e9c213e6df0d925c0b469f152cfff8b7c93b6
+size 280372
diff --git a/results/train/hyperbola/problem_5099.png b/results/train/hyperbola/problem_5099.png
new file mode 100644
index 0000000000000000000000000000000000000000..edf30b01ab3a3d8c87313e62a1c9bc5401a7bfd5
--- /dev/null
+++ b/results/train/hyperbola/problem_5099.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b41ba3128ac5d81a3f92610e178a3444a115dd8d5f563a74eef0d61638c9f402
+size 261356
diff --git a/results/train/hyperbola/problem_5106.png b/results/train/hyperbola/problem_5106.png
new file mode 100644
index 0000000000000000000000000000000000000000..173dff6101c0f70ed6d04c565209b8b36d9a7ca4
--- /dev/null
+++ b/results/train/hyperbola/problem_5106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d772aa2f38bb0b844a855c40ea7623969ddca16094b9eb531f048262edc530e
+size 259429
diff --git a/results/train/hyperbola/problem_5113.png b/results/train/hyperbola/problem_5113.png
new file mode 100644
index 0000000000000000000000000000000000000000..c357ea480d608c770f3b8af33a5b9f2e93509973
--- /dev/null
+++ b/results/train/hyperbola/problem_5113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:595d0e91aa026babeeecb0404c4b6c050289885e5411e6b67ea930a7c422caf7
+size 244954
diff --git a/results/train/hyperbola/problem_5119.png b/results/train/hyperbola/problem_5119.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2b877da4a2b89368a179a070ece2f4c941bc0a4
--- /dev/null
+++ b/results/train/hyperbola/problem_5119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec3c3cf23fe35fb4ea84026f1cbf5a3855611754f5e728b7534011c9a2fa84cc
+size 279732
diff --git a/results/train/hyperbola/problem_5121.png b/results/train/hyperbola/problem_5121.png
new file mode 100644
index 0000000000000000000000000000000000000000..310788847a55eac9b262b0fed5217052f31565c4
--- /dev/null
+++ b/results/train/hyperbola/problem_5121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66f7f1202e39343c17b4e88b3c81c9f05d17dcb607f1869294a169d125e169f7
+size 249849
diff --git a/results/train/hyperbola/problem_5122.png b/results/train/hyperbola/problem_5122.png
new file mode 100644
index 0000000000000000000000000000000000000000..cff4506f6c970541152573418bd019af668f59ef
--- /dev/null
+++ b/results/train/hyperbola/problem_5122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a3d0059a39adf98503242c26d1a9fbeb94560cbe57d695fc008da7f36241c32
+size 266903
diff --git a/results/train/hyperbola/problem_5124.png b/results/train/hyperbola/problem_5124.png
new file mode 100644
index 0000000000000000000000000000000000000000..071aa055d0aa04c094be91334baa5206a2e062f8
--- /dev/null
+++ b/results/train/hyperbola/problem_5124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07ee3080e942b057bb6bbca8e1dc3bd61a49558ec23d78b0111cc6488bd8ce67
+size 257168
diff --git a/results/train/hyperbola/problem_5126.png b/results/train/hyperbola/problem_5126.png
new file mode 100644
index 0000000000000000000000000000000000000000..07279882a5764b892d400a829a32209a518ff40d
--- /dev/null
+++ b/results/train/hyperbola/problem_5126.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecbda9dc9a610bbf1a6150e1ff3d2a7c26d2cf08fb38f257ad4b81729a522aeb
+size 235263
diff --git a/results/train/hyperbola/problem_5137.png b/results/train/hyperbola/problem_5137.png
new file mode 100644
index 0000000000000000000000000000000000000000..670f0da1e4b36c1c071c2b4153b4a0ca3c73a38c
--- /dev/null
+++ b/results/train/hyperbola/problem_5137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:590791acf36c88d43d678fe1eb5cc5b28595da04b633c6f052b690ec19ad69f0
+size 275991
diff --git a/results/train/hyperbola/problem_5148.png b/results/train/hyperbola/problem_5148.png
new file mode 100644
index 0000000000000000000000000000000000000000..8590e88aa97d68102a468f1c3a75cd04811784f7
--- /dev/null
+++ b/results/train/hyperbola/problem_5148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70e74708c37d24d7ff7e642e73daf3659e9eb53d7c9eaae1e475283b23aa7d59
+size 266346
diff --git a/results/train/hyperbola/problem_5151.png b/results/train/hyperbola/problem_5151.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ad84f22b9719d4ef207cdabf3cd24c86f5ab5ce
--- /dev/null
+++ b/results/train/hyperbola/problem_5151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa50ee8b6c1625ee82829052483ef7acf0c77ffdbf53c0b8b6a1e0ad817e11be
+size 269995
diff --git a/results/train/hyperbola/problem_5164.png b/results/train/hyperbola/problem_5164.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae3cf43c32738f9a2df14b650aea62b70ffdccba
--- /dev/null
+++ b/results/train/hyperbola/problem_5164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66ca3aaa30fb0b01fe5dc916fcfb927ca59c6940bf40f8d6d046193a0652ffca
+size 245039
diff --git a/results/train/hyperbola/problem_5166.png b/results/train/hyperbola/problem_5166.png
new file mode 100644
index 0000000000000000000000000000000000000000..39c45c733e06e7a07c56c83b695575b0f5cf33e6
--- /dev/null
+++ b/results/train/hyperbola/problem_5166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96db943b6f2ecdcdec2fe1b3dcc6f0f7a841eed353e593edba9fd7db7fdc8831
+size 254849
diff --git a/results/train/hyperbola/problem_5167.png b/results/train/hyperbola/problem_5167.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d12706bd239ded7210763adb7eacc42b0a1fe8e
--- /dev/null
+++ b/results/train/hyperbola/problem_5167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:339cd7f4b4bad1a61b69f57168a43235bdb87600ae77fe05c6ac1cc7b00d6722
+size 251143
diff --git a/results/train/hyperbola/problem_5168.png b/results/train/hyperbola/problem_5168.png
new file mode 100644
index 0000000000000000000000000000000000000000..70d9df6b32fdcbba6e52fa928b1cfb7136f769ee
--- /dev/null
+++ b/results/train/hyperbola/problem_5168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53b82f1f700a2315e7892174ecfb81b32812550b9362d07127e228f2439cbad2
+size 315260
diff --git a/results/train/hyperbola/problem_5170.png b/results/train/hyperbola/problem_5170.png
new file mode 100644
index 0000000000000000000000000000000000000000..03dc9b705c0b59573586693646d723e80d354681
--- /dev/null
+++ b/results/train/hyperbola/problem_5170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adb934867908d76e402110359cb0d2436a7351aff103b13e3d3916466ad7b540
+size 271137
diff --git a/results/train/hyperbola/problem_5171.png b/results/train/hyperbola/problem_5171.png
new file mode 100644
index 0000000000000000000000000000000000000000..0953c4c336564cae8bcce0e337c3c745c862695f
--- /dev/null
+++ b/results/train/hyperbola/problem_5171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84ca8b9ef2daad1a9218a46f12e336df8fe08449a4bb2051b0e1476ff416b166
+size 267790
diff --git a/results/train/hyperbola/problem_5173.png b/results/train/hyperbola/problem_5173.png
new file mode 100644
index 0000000000000000000000000000000000000000..da01a101f198455ba089bfcec346ddc877090d2a
--- /dev/null
+++ b/results/train/hyperbola/problem_5173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:749679e3b060262076164588d913f61ca0066508b52dc1188d65d15ec3d11527
+size 276027
diff --git a/results/train/hyperbola/problem_5178.png b/results/train/hyperbola/problem_5178.png
new file mode 100644
index 0000000000000000000000000000000000000000..35aebcf35bf52232090d4d082257864aca8f984f
--- /dev/null
+++ b/results/train/hyperbola/problem_5178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98704315ea87e71d685126eca613bb31c2fe069e5dc4681d0a35b0569b2775fa
+size 235770
diff --git a/results/train/hyperbola/problem_5179.png b/results/train/hyperbola/problem_5179.png
new file mode 100644
index 0000000000000000000000000000000000000000..58c6acf04f69f7182e7d445abe0bdd61f26c3444
--- /dev/null
+++ b/results/train/hyperbola/problem_5179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa0fbfa241c0bc762a4f3d795e8c8b7f01f6dc711de4105643bbc3986b5f5474
+size 268477
diff --git a/results/train/hyperbola/problem_5183.png b/results/train/hyperbola/problem_5183.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1d183e41f4ee1894ea7601135dcef9fa81bab5d
--- /dev/null
+++ b/results/train/hyperbola/problem_5183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f6f6ca391b272d8a1889c071a6197b7235af78b84775bbf388521fb1e9f471b
+size 300665
diff --git a/results/train/hyperbola/problem_5185.png b/results/train/hyperbola/problem_5185.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6dc1ca6dd84ca29aa7dce2c9c644db03fce6143
--- /dev/null
+++ b/results/train/hyperbola/problem_5185.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5d1c7fa51eebb0401c563e02747b78721fac87a0bfd3e9540b6418f7b816bd1
+size 271044
diff --git a/results/train/hyperbola/problem_5187.png b/results/train/hyperbola/problem_5187.png
new file mode 100644
index 0000000000000000000000000000000000000000..837a6a1e081742f3fb191a7550de29eb249ba7d5
--- /dev/null
+++ b/results/train/hyperbola/problem_5187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c58765424f5e0810effe06533a2829b2abf44902f631b1b76f03d12e225e4b7
+size 251807
diff --git a/results/train/hyperbola/problem_5189.png b/results/train/hyperbola/problem_5189.png
new file mode 100644
index 0000000000000000000000000000000000000000..123d07c99600ebe25aac0458184abfe17266fd52
--- /dev/null
+++ b/results/train/hyperbola/problem_5189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3452697c30e1035f4f49dccf1f8c259b9f3d97c1aa4c836aa1bef128094b17c0
+size 270897
diff --git a/results/train/hyperbola/problem_5195.png b/results/train/hyperbola/problem_5195.png
new file mode 100644
index 0000000000000000000000000000000000000000..a569adcf248c1e81db202dd901c1703441f2a661
--- /dev/null
+++ b/results/train/hyperbola/problem_5195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc95ee71aa1d18c5c70e7c7e8c298167e2443868761271f665ef7a0754af88fd
+size 265440
diff --git a/results/train/hyperbola/problem_5196.png b/results/train/hyperbola/problem_5196.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1af5cad03893b5e4b4e8b3eab4eab139dd81995
--- /dev/null
+++ b/results/train/hyperbola/problem_5196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:381bcaae62290051ecab388298b5513c2164400a090bbd574ae5498f5185b092
+size 253433
diff --git a/results/train/hyperbola/problem_5198.png b/results/train/hyperbola/problem_5198.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbe20f1132e11cf2aec2a47bbcfb7251bdbc45c9
--- /dev/null
+++ b/results/train/hyperbola/problem_5198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c76f2223f9cfd973b42a0428a80929dff1b69fb19b27abb235f3685641b37076
+size 253578
diff --git a/results/train/hyperbola/problem_5202.png b/results/train/hyperbola/problem_5202.png
new file mode 100644
index 0000000000000000000000000000000000000000..dced560c53aa660b722c855bcf1479d99b285331
--- /dev/null
+++ b/results/train/hyperbola/problem_5202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91b78edc565d1788fab9bd40e3b8eb089b91a2143280a234a5ce58fef9be6457
+size 264506
diff --git a/results/train/hyperbola/problem_5203.png b/results/train/hyperbola/problem_5203.png
new file mode 100644
index 0000000000000000000000000000000000000000..1712be43d061bdbcfdc4ccf2fe23baca5964c8cc
--- /dev/null
+++ b/results/train/hyperbola/problem_5203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a30fe7774d090440c5b65d3595a0cb3129558d7f43474dfd11e362840772c87
+size 273944
diff --git a/results/train/hyperbola/problem_5205.png b/results/train/hyperbola/problem_5205.png
new file mode 100644
index 0000000000000000000000000000000000000000..a60ca0a5c5741c7960fc22dbe7b73a9eb7336640
--- /dev/null
+++ b/results/train/hyperbola/problem_5205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78cdcff9a753e603886b4f8dcf327ad312ce3ec84ec3bdfd1a04c304fbcbaad7
+size 272200
diff --git a/results/train/hyperbola/problem_5206.png b/results/train/hyperbola/problem_5206.png
new file mode 100644
index 0000000000000000000000000000000000000000..dde25f9ee454e5601598a29ddbcd9586842b528f
--- /dev/null
+++ b/results/train/hyperbola/problem_5206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0117bc171de8101eb3a6263adeae0937adff467011b4e5deb0977e6a33fabb35
+size 266109
diff --git a/results/train/hyperbola/problem_5207.png b/results/train/hyperbola/problem_5207.png
new file mode 100644
index 0000000000000000000000000000000000000000..326ee7e5858e35322c2f6b87109d53aa19a51d5c
--- /dev/null
+++ b/results/train/hyperbola/problem_5207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5f8b42b0833ebc53721ad29759fbbbae955e0fa0f34bd202de2c73594279adb
+size 282329
diff --git a/results/train/hyperbola/problem_5209.png b/results/train/hyperbola/problem_5209.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ee3df6e9966168f004b507ad7d3c241de62cb44
--- /dev/null
+++ b/results/train/hyperbola/problem_5209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25774c0e9e1cf164681ab4b5657cd9d1eb5f408bf7fa7d92756c79000819e7d6
+size 260432
diff --git a/results/train/hyperbola/problem_5213.png b/results/train/hyperbola/problem_5213.png
new file mode 100644
index 0000000000000000000000000000000000000000..df08dce5db20d28f19ebef476a6d82f828e3eff2
--- /dev/null
+++ b/results/train/hyperbola/problem_5213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e46e1f07754cbfe6deea1cf086c5af8b5e91bd22d3dae10f83774af1603bcfa
+size 257360
diff --git a/results/train/hyperbola/problem_5218.png b/results/train/hyperbola/problem_5218.png
new file mode 100644
index 0000000000000000000000000000000000000000..49ded5eb2c1fa6381ceb6a15c639481ca22fd447
--- /dev/null
+++ b/results/train/hyperbola/problem_5218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:256081aeef29e40a7c8b3a5734569c5fb52f1b7728540c4a8850f4318f659c56
+size 256112
diff --git a/results/train/hyperbola/problem_5221.png b/results/train/hyperbola/problem_5221.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb77ecf192c1261e085633d54938eca7bb320dc0
--- /dev/null
+++ b/results/train/hyperbola/problem_5221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cca44e5a8e1b6af5b57a4936b4a95648adcd1a25a64619bd28732f2cbf9b6e5f
+size 260173
diff --git a/results/train/hyperbola/problem_5223.png b/results/train/hyperbola/problem_5223.png
new file mode 100644
index 0000000000000000000000000000000000000000..764a98482c04dc90917e90289077a42c02717311
--- /dev/null
+++ b/results/train/hyperbola/problem_5223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ca260998a45b6b57dcdb88a443441525652ff59c6aff8b4416c0bebdcb5e0d3
+size 272268
diff --git a/results/train/hyperbola/problem_5230.png b/results/train/hyperbola/problem_5230.png
new file mode 100644
index 0000000000000000000000000000000000000000..8263408957236fd33038c4416287e6db5f234ca4
--- /dev/null
+++ b/results/train/hyperbola/problem_5230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:004c182fc9fa1e44d317166a0691115a1c13218e085a13abe521658df9949b25
+size 266050
diff --git a/results/train/hyperbola/problem_5233.png b/results/train/hyperbola/problem_5233.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ec8760d83297e1b473dd3bd21fbd8a18fbbb92b
--- /dev/null
+++ b/results/train/hyperbola/problem_5233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83bdc20bde2245ff2a9b9176f9aa9c00f0d216925413f538722dcb4d45c91ccf
+size 246075
diff --git a/results/train/hyperbola/problem_5235.png b/results/train/hyperbola/problem_5235.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b772bf9e718dd0a979c980fe9d67a7d2dc3b311
--- /dev/null
+++ b/results/train/hyperbola/problem_5235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c230c7d7ac8dbfc596a3ba9aaca6895480413b678b426500972061d1374e1654
+size 252100
diff --git a/results/train/hyperbola/problem_5249.png b/results/train/hyperbola/problem_5249.png
new file mode 100644
index 0000000000000000000000000000000000000000..429d03a4a4c8afe967bc269538cbf5f6a7401823
--- /dev/null
+++ b/results/train/hyperbola/problem_5249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08239003adfa48d5eb46cda1f9270d0d108960df093df9c21fa5db45e72e8fe1
+size 265436
diff --git a/results/train/hyperbola/problem_5255.png b/results/train/hyperbola/problem_5255.png
new file mode 100644
index 0000000000000000000000000000000000000000..470fde183c9f5d44a4190dce5f2ef266a693a419
--- /dev/null
+++ b/results/train/hyperbola/problem_5255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17711a131ca63ba7c5aa5436b8ad4c8058ba9f8be0d202352a9e19f65d583c29
+size 273993
diff --git a/results/train/hyperbola/problem_5259.png b/results/train/hyperbola/problem_5259.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7121c3a406c21eca542750ce9acbfffcda0197e
--- /dev/null
+++ b/results/train/hyperbola/problem_5259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e530f3ad7fb3f925257a7957f6a5899a6e04abefeb26389e127c820e8890585
+size 244060
diff --git a/results/train/hyperbola/problem_5266.png b/results/train/hyperbola/problem_5266.png
new file mode 100644
index 0000000000000000000000000000000000000000..45cb1a79f8afc6363bff5975b69475ed9f7cd333
--- /dev/null
+++ b/results/train/hyperbola/problem_5266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ee900f456760608627ed1465cc4f5bdcd75888d117c2c1f6ebafcaccfda4d82
+size 223658
diff --git a/results/train/hyperbola/problem_5270.png b/results/train/hyperbola/problem_5270.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b77ae1b08d1c4f77dc18064871dc26984670726
--- /dev/null
+++ b/results/train/hyperbola/problem_5270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:180b4368bac5cb5dc0d1eb91e386a5b19ae30ca9b2c416189d103be4b0fd57ae
+size 261582
diff --git a/results/train/hyperbola/problem_5272.png b/results/train/hyperbola/problem_5272.png
new file mode 100644
index 0000000000000000000000000000000000000000..5aaeaa26d4951a274ed2396158a5afe7ee09046d
--- /dev/null
+++ b/results/train/hyperbola/problem_5272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f8a27e131fd48834798ba29a2d3b14894e016c6b28c40ea0dd8ef9d833eb4fe
+size 265890
diff --git a/results/train/hyperbola/problem_5278.png b/results/train/hyperbola/problem_5278.png
new file mode 100644
index 0000000000000000000000000000000000000000..1886cb5161a0d90108c87e7ee7e2b2df8423ae59
--- /dev/null
+++ b/results/train/hyperbola/problem_5278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17be0bba88cd213ce8133cc9692f2ff17e0b780ade1da3c64e9a9a574162eb01
+size 264173
diff --git a/results/train/hyperbola/problem_5282.png b/results/train/hyperbola/problem_5282.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd4ad8c7058b73dc9915f260f5a505cfc61ed592
--- /dev/null
+++ b/results/train/hyperbola/problem_5282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06e976cd43465351c845396a71af3ed345bc6454329aa41678dc1fca9418c84f
+size 245410
diff --git a/results/train/hyperbola/problem_5283.png b/results/train/hyperbola/problem_5283.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2c9da91eef6c4fc1bd2f96f95178cc98035dc41
--- /dev/null
+++ b/results/train/hyperbola/problem_5283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8be169baff838254b70a5c68f8bdb8be852c432b13b8a6a490bf6c3e6a5cfb9d
+size 261622
diff --git a/results/train/hyperbola/problem_5293.png b/results/train/hyperbola/problem_5293.png
new file mode 100644
index 0000000000000000000000000000000000000000..71808be5bc4a703d6b402c0aab4bd0a8ab70beae
--- /dev/null
+++ b/results/train/hyperbola/problem_5293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b028b8918ef124add21e37ab8d235c933a8744b9a8491d5ce23f7fc32b308b80
+size 257190
diff --git a/results/train/hyperbola/problem_5296.png b/results/train/hyperbola/problem_5296.png
new file mode 100644
index 0000000000000000000000000000000000000000..66df988d806e7dddb30afea77e09698e17f10cd2
--- /dev/null
+++ b/results/train/hyperbola/problem_5296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e74c7ee6167fa1c3959cb6cd653cdeaa0ba0406c1ba94664b5dbff49faccccf7
+size 269802
diff --git a/results/train/hyperbola/problem_5297.png b/results/train/hyperbola/problem_5297.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d8b3aa282eb5e827af0c8b868ff24d6358f5068
--- /dev/null
+++ b/results/train/hyperbola/problem_5297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f9261b257886d51cc249df7d89a9388d4b594c00a434e75a24e6893ffac8d99
+size 274044
diff --git a/results/train/hyperbola/problem_5298.png b/results/train/hyperbola/problem_5298.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba42064b0f8e9840ffe36c4e713159d561011c4b
--- /dev/null
+++ b/results/train/hyperbola/problem_5298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e05815281a29ffc3dff7e73740f19a90a6fd82b71d272021a53f0aed726a9db4
+size 249008
diff --git a/results/train/hyperbola/problem_5300.png b/results/train/hyperbola/problem_5300.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ec63a3b451b778c3b861137e3ba8ad26d1b60eb
--- /dev/null
+++ b/results/train/hyperbola/problem_5300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:178916dca9506a00b112c1099d23bcf293300f76c07cbb2f77dd692e6f23a6ea
+size 247611
diff --git a/results/train/hyperbola/problem_5301.png b/results/train/hyperbola/problem_5301.png
new file mode 100644
index 0000000000000000000000000000000000000000..f395804c80440f90d8be57214af8f31b6fee41e1
--- /dev/null
+++ b/results/train/hyperbola/problem_5301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a37361dd6ab82b7cf18dc28ca94044091fae6875b84e5fcfdba421a9f519031f
+size 279430
diff --git a/results/train/hyperbola/problem_5308.png b/results/train/hyperbola/problem_5308.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9ed173e67f097c0efa85052ec0805d13ca765f7
--- /dev/null
+++ b/results/train/hyperbola/problem_5308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe48a69c96ae79c57f0b11ca5bf13c6062c4c2a0c431ca4c5e4251804b30e4f8
+size 268792
diff --git a/results/train/hyperbola/problem_5312.png b/results/train/hyperbola/problem_5312.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9a3b1ca2678cff2319eb7ed69a5b25c4a4ca0b6
--- /dev/null
+++ b/results/train/hyperbola/problem_5312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:679b1fde2aaa3a0ea8291794a119a7daad9e806489fc8f0d6cf93b709e158c31
+size 263032
diff --git a/results/train/hyperbola/problem_5315.png b/results/train/hyperbola/problem_5315.png
new file mode 100644
index 0000000000000000000000000000000000000000..03ff71e3aee186717189979dd5689b514ac3e411
--- /dev/null
+++ b/results/train/hyperbola/problem_5315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0a77af8b3d90223e8e7ada851c0b0464e734e51c5b2cef55f0a42c6c6b3daa4
+size 264903
diff --git a/results/train/hyperbola/problem_5317.png b/results/train/hyperbola/problem_5317.png
new file mode 100644
index 0000000000000000000000000000000000000000..167a83ef6fb124a1f7f3bf5300806dd80f928610
--- /dev/null
+++ b/results/train/hyperbola/problem_5317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4a001083e01126a92d7bb61329f93902a9c80bf7f73022d2e56e58ac12f4a95
+size 255056
diff --git a/results/train/hyperbola/problem_5321.png b/results/train/hyperbola/problem_5321.png
new file mode 100644
index 0000000000000000000000000000000000000000..486ad3f1e504d1d9758e0bf2429f840e9851cf60
--- /dev/null
+++ b/results/train/hyperbola/problem_5321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e856d5656d103f880af24feff88c52b85a90b707fe7a7205815830ac37482f2
+size 285539
diff --git a/results/train/hyperbola/problem_5322.png b/results/train/hyperbola/problem_5322.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba991f8aef05226d6da63647442a2c63431561af
--- /dev/null
+++ b/results/train/hyperbola/problem_5322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98eb5f58d3ec2757a39cfdee9fb08eea23e74cb29064a463e0f44906b50288f8
+size 262656
diff --git a/results/train/hyperbola/problem_5328.png b/results/train/hyperbola/problem_5328.png
new file mode 100644
index 0000000000000000000000000000000000000000..33ee7dc6d7122c4e4ae630a697e0d3ff92b5c475
--- /dev/null
+++ b/results/train/hyperbola/problem_5328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72217a6a8ee01b0347da62445677bab31c1c2a7f607865e9e62ddd994a10431f
+size 265070
diff --git a/results/train/hyperbola/problem_5330.png b/results/train/hyperbola/problem_5330.png
new file mode 100644
index 0000000000000000000000000000000000000000..07312232c2d7f543c40565eaa40959c2bb64812c
--- /dev/null
+++ b/results/train/hyperbola/problem_5330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eedfe88d54a17c7d867bb92a71f130ad4327c5c4e7f3cdb70a41936486073718
+size 253737
diff --git a/results/train/hyperbola/problem_5331.png b/results/train/hyperbola/problem_5331.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b7cc14ad24f9edf45dbe84033b9b94ba4d38447
--- /dev/null
+++ b/results/train/hyperbola/problem_5331.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fcd074ea58eae053733722d4062b9b7c5a0f87da495530b940081443618b9c74
+size 236749
diff --git a/results/train/hyperbola/problem_5335.png b/results/train/hyperbola/problem_5335.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cce0dfc97053ee2cf66e78c1840dc2381071fc4
--- /dev/null
+++ b/results/train/hyperbola/problem_5335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:881d3e5b82558befd34eb49e75aa709803e5e01092af3cc8b69d630af49f1235
+size 279145
diff --git a/results/train/hyperbola/problem_5336.png b/results/train/hyperbola/problem_5336.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9b2e757924bc733e605c226e4f9e2b0aa1bb933
--- /dev/null
+++ b/results/train/hyperbola/problem_5336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71b712af43c0eb7fc7602f53089feafa86b7f6aee6561c2832c90bd00e1d3127
+size 267264
diff --git a/results/train/hyperbola/problem_5337.png b/results/train/hyperbola/problem_5337.png
new file mode 100644
index 0000000000000000000000000000000000000000..967f9dca74fdbfb70db1f871681862cfad81b185
--- /dev/null
+++ b/results/train/hyperbola/problem_5337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0fbba1c6da24188a2890d50ffff6a179a4bbf4948d62860dbe3a944a8e621ed
+size 273198
diff --git a/results/train/hyperbola/problem_5338.png b/results/train/hyperbola/problem_5338.png
new file mode 100644
index 0000000000000000000000000000000000000000..17203d51a0aad9b5bd83492e9886be0a499df3d0
--- /dev/null
+++ b/results/train/hyperbola/problem_5338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b825384437dcb790e5915607742235b0ab5ca35fb7b141c6f4006a9c1fe2a85b
+size 247376
diff --git a/results/train/hyperbola/problem_5340.png b/results/train/hyperbola/problem_5340.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ee3bd814d016730e357e50cafc609799315ecf4
--- /dev/null
+++ b/results/train/hyperbola/problem_5340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c58c9e3a3fb6e08ac52907ef08379708038f8af9a83db403b2ca18e2921a4d2f
+size 226379
diff --git a/results/train/hyperbola/problem_5351.png b/results/train/hyperbola/problem_5351.png
new file mode 100644
index 0000000000000000000000000000000000000000..64ea9ea1b71eca65098befbf69f20d50157d1cae
--- /dev/null
+++ b/results/train/hyperbola/problem_5351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f901ccd2753d2f3550677d82cd2a9ea729057c0994c31ebae2312f991f336e0a
+size 275035
diff --git a/results/train/hyperbola/problem_5362.png b/results/train/hyperbola/problem_5362.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d83e455be93f54dc12588ffbd2ad52b461bde9a
--- /dev/null
+++ b/results/train/hyperbola/problem_5362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fab99db6237585c964a6ddb6c3ccd76782ab92f105e916548af0225477b1534
+size 238112
diff --git a/results/train/hyperbola/problem_5363.png b/results/train/hyperbola/problem_5363.png
new file mode 100644
index 0000000000000000000000000000000000000000..28490e2621dd985b5e1309c68a69f99a46158a2c
--- /dev/null
+++ b/results/train/hyperbola/problem_5363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efee6fd5ffb4c5dacfdf58c33596f1608bffd6b86e5fdc6016b6c03c1d78422d
+size 261296
diff --git a/results/train/hyperbola/problem_5366.png b/results/train/hyperbola/problem_5366.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb65b1538e44fad77232a82963d9df96f4d21f7b
--- /dev/null
+++ b/results/train/hyperbola/problem_5366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a24ebf7467cc69458f7fe169234e05d01085df25631db4cb50863c0d3fb68ce9
+size 274829
diff --git a/results/train/hyperbola/problem_5367.png b/results/train/hyperbola/problem_5367.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1280dd71f7e89d1bc597ff8b4660c809512b170
--- /dev/null
+++ b/results/train/hyperbola/problem_5367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f580e53ee7918bd63f3762b6798e93bd7ea87633920926e387cb9ffcd7e79fb0
+size 272178
diff --git a/results/train/hyperbola/problem_5373.png b/results/train/hyperbola/problem_5373.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e7e48f823b4d7a4d1d6d31d9d51a60e89084a8e
--- /dev/null
+++ b/results/train/hyperbola/problem_5373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbcb6e4e6747dbf25135e81fcb51959d4a01978710c1a6fcc39fe7d58826693d
+size 264537
diff --git a/results/train/hyperbola/problem_5376.png b/results/train/hyperbola/problem_5376.png
new file mode 100644
index 0000000000000000000000000000000000000000..303a25efc61db3da832a3ed7c5ed579cb3209006
--- /dev/null
+++ b/results/train/hyperbola/problem_5376.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66930543860d498e26a3990bdf766dd7fe039ebc0dd26e8d23188d586d6183d6
+size 262520
diff --git a/results/train/hyperbola/problem_5379.png b/results/train/hyperbola/problem_5379.png
new file mode 100644
index 0000000000000000000000000000000000000000..30d69994d897d1ad828d02bb26009aa954391cd6
--- /dev/null
+++ b/results/train/hyperbola/problem_5379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94ce51a6d6e67210e13337606f68170c0ada3ef84a7cb0f035f189167f9fe396
+size 268091
diff --git a/results/train/hyperbola/problem_5380.png b/results/train/hyperbola/problem_5380.png
new file mode 100644
index 0000000000000000000000000000000000000000..01a2572a509f8cae756a39d0090ff128e683e8df
--- /dev/null
+++ b/results/train/hyperbola/problem_5380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83500f86c035f200493b51ab68b2a2379fc8cf9656d30954add7a728ef7d5240
+size 266101
diff --git a/results/train/hyperbola/problem_5382.png b/results/train/hyperbola/problem_5382.png
new file mode 100644
index 0000000000000000000000000000000000000000..89d78513b11e26c724a285c84de10fea5a4e78a6
--- /dev/null
+++ b/results/train/hyperbola/problem_5382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e5bed1217ccaa7b9920ea9c5a9a84db9930ac9df3e2f5f2fc5ceb08f3f97359
+size 274084
diff --git a/results/train/hyperbola/problem_5383.png b/results/train/hyperbola/problem_5383.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb15a42bb6da45d8f4d223077d115cd42b7e5442
--- /dev/null
+++ b/results/train/hyperbola/problem_5383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8af5963687f2c7865e623d6a47106fafb27c12c22f549f2010cacabd3cb8b91c
+size 240001
diff --git a/results/train/hyperbola/problem_5390.png b/results/train/hyperbola/problem_5390.png
new file mode 100644
index 0000000000000000000000000000000000000000..e09f0ce87e7e671f1b894e4da9c636c31eb6b9e5
--- /dev/null
+++ b/results/train/hyperbola/problem_5390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf44f94cf75f4819e92d7370dc628e85f2937d17fd8c6618d7defd424b49baf2
+size 311964
diff --git a/results/train/hyperbola/problem_5401.png b/results/train/hyperbola/problem_5401.png
new file mode 100644
index 0000000000000000000000000000000000000000..50a50f39fe401d6855fdf6aecde9b0b32a02ed50
--- /dev/null
+++ b/results/train/hyperbola/problem_5401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c096429e67fc8185390433844d439c0365ce43b369d39d5e68b44c534a34706
+size 256103
diff --git a/results/train/hyperbola/problem_5403.png b/results/train/hyperbola/problem_5403.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c4afd33873042b0e8f2990dd7679c63eb4c9148
--- /dev/null
+++ b/results/train/hyperbola/problem_5403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08cfcdbca83e08c1bd4e790efe57648cbda734f1380799fe88d3cf4f6d146d4d
+size 243437
diff --git a/results/train/hyperbola/problem_5404.png b/results/train/hyperbola/problem_5404.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcb4f794ae0d47b21bd0d8265c7a3b67e3f41e0b
--- /dev/null
+++ b/results/train/hyperbola/problem_5404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31005238c4b48b5f43f9bfa8d53ba263537fad384250c9bc79196c78ff8a77fc
+size 287898
diff --git a/results/train/hyperbola/problem_5405.png b/results/train/hyperbola/problem_5405.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b5484c4c22e0d1e15ddbd4f9a4ba94432b36ac7
--- /dev/null
+++ b/results/train/hyperbola/problem_5405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c932278c79e89e59181b9821ca1c5e430475d502da1e0db8eddbf7c02af016d7
+size 248086
diff --git a/results/train/hyperbola/problem_5417.png b/results/train/hyperbola/problem_5417.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ba9ef216fb2bae7f8eb29457e6c3008bc5c7ff6
--- /dev/null
+++ b/results/train/hyperbola/problem_5417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:654808b0efff1465e027f79173730c86e9a9aff52490235e0330fcd2348bc51f
+size 267146
diff --git a/results/train/hyperbola/problem_5422.png b/results/train/hyperbola/problem_5422.png
new file mode 100644
index 0000000000000000000000000000000000000000..be79aa6463b75d0b12ab6270e00fe12ee452955f
--- /dev/null
+++ b/results/train/hyperbola/problem_5422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1aa4a66769c2605e1829c628f8a75edfae494c8924c71babb090f0f3caa11c5e
+size 262617
diff --git a/results/train/hyperbola/problem_5425.png b/results/train/hyperbola/problem_5425.png
new file mode 100644
index 0000000000000000000000000000000000000000..703fc323a2a7e2b8cdd93cc771a812847f939927
--- /dev/null
+++ b/results/train/hyperbola/problem_5425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b33a9272032e2181cbded4ec81bdc00cdd05bf7947ea0b78bf504d383a356df0
+size 233499
diff --git a/results/train/hyperbola/problem_5426.png b/results/train/hyperbola/problem_5426.png
new file mode 100644
index 0000000000000000000000000000000000000000..14d2db23ba7c0fb9a8c7ffd73ed6cd8cae0f1eb0
--- /dev/null
+++ b/results/train/hyperbola/problem_5426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:464827021c937315da6f6200671491ae9a469796beea763a203f2003afe1aa9f
+size 261308
diff --git a/results/train/hyperbola/problem_5432.png b/results/train/hyperbola/problem_5432.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5d9bf876f1c2a7e79850777925281c2ec54eee1
--- /dev/null
+++ b/results/train/hyperbola/problem_5432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6d8bb60937f1d5df4a892fe0d5d94cc3cf0cb5980ed40d2f3ad183c7b9e78be
+size 270158
diff --git a/results/train/hyperbola/problem_5433.png b/results/train/hyperbola/problem_5433.png
new file mode 100644
index 0000000000000000000000000000000000000000..49d3223e42c57acd8a4df107ca8ac51578fc21c6
--- /dev/null
+++ b/results/train/hyperbola/problem_5433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03f78f27c170325ba204b00e229246ca450e961aed2be96806343fcd7e00b1d3
+size 264865
diff --git a/results/train/hyperbola/problem_5435.png b/results/train/hyperbola/problem_5435.png
new file mode 100644
index 0000000000000000000000000000000000000000..f485c5b7de2328534e560e5a0078d54960a418a5
--- /dev/null
+++ b/results/train/hyperbola/problem_5435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f837253056c7656c9a0eab99cfb17279ddb167b86bd17b32d30229a4c36dcd4
+size 311177
diff --git a/results/train/hyperbola/problem_5440.png b/results/train/hyperbola/problem_5440.png
new file mode 100644
index 0000000000000000000000000000000000000000..94b6beba1eafd8339191eaff89e664273eb2c6d4
--- /dev/null
+++ b/results/train/hyperbola/problem_5440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5968882d581f4e00d369ffa11575238fe3607ff663692eb47f85b07a32f2266d
+size 269951
diff --git a/results/train/hyperbola/problem_5441.png b/results/train/hyperbola/problem_5441.png
new file mode 100644
index 0000000000000000000000000000000000000000..2d7af300ae07b6cbcd4d5beea137d1e0eec00bdc
--- /dev/null
+++ b/results/train/hyperbola/problem_5441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2fc2c566e0700820d80e2f991cdc78133c7509d186a511813188d596d96ec75d
+size 262901
diff --git a/results/train/hyperbola/problem_5447.png b/results/train/hyperbola/problem_5447.png
new file mode 100644
index 0000000000000000000000000000000000000000..e777eb4e4a10bf62ca6ed7e0c03bef624742847d
--- /dev/null
+++ b/results/train/hyperbola/problem_5447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f28dcb0c2b377f30a6b2facedce4ed7312226c8b4b4221a7c4e5cf904b26171d
+size 272974
diff --git a/results/train/hyperbola/problem_5453.png b/results/train/hyperbola/problem_5453.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3e66fe2eee685414bd9317a98e8bb4b6cd702ec
--- /dev/null
+++ b/results/train/hyperbola/problem_5453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d68b2239c80dd10a276557f59b43850d7f36d10ae0db1997660e0057a103be70
+size 252582
diff --git a/results/train/hyperbola/problem_5456.png b/results/train/hyperbola/problem_5456.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fef7266bcd9349d2f1b0a241bbc498d663bd68b
--- /dev/null
+++ b/results/train/hyperbola/problem_5456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:131c25bce862ad7addb256facb1d2073c2c86afb88eec54cc502d8b22b643fd9
+size 270646
diff --git a/results/train/hyperbola/problem_5460.png b/results/train/hyperbola/problem_5460.png
new file mode 100644
index 0000000000000000000000000000000000000000..048d5f5612791c04e52011498d8039570a2146a8
--- /dev/null
+++ b/results/train/hyperbola/problem_5460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:553c49f21cca1fe1410aa0a7c4df30808e2909a29deba2978a6d9bf394f051ad
+size 266587
diff --git a/results/train/hyperbola/problem_5470.png b/results/train/hyperbola/problem_5470.png
new file mode 100644
index 0000000000000000000000000000000000000000..71b8a52ebab92be89fa4fc1e9cf9ec33a22a5699
--- /dev/null
+++ b/results/train/hyperbola/problem_5470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ae3c6ac64f969c212e1514c462e57eccd6b6b0d7034e84f9e0d7f4732d933a5
+size 253213
diff --git a/results/train/hyperbola/problem_5477.png b/results/train/hyperbola/problem_5477.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2c711a7b289731e0c5c746145f02d6b41d05092
--- /dev/null
+++ b/results/train/hyperbola/problem_5477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44d1bc9d90f2152f217267114e274b1a33491a7a95e6749d2b96f117a68ccb62
+size 256700
diff --git a/results/train/hyperbola/problem_5478.png b/results/train/hyperbola/problem_5478.png
new file mode 100644
index 0000000000000000000000000000000000000000..527db115260ff4ff3e36c0b3933fa70a0df50d41
--- /dev/null
+++ b/results/train/hyperbola/problem_5478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:141182d0a9257b745444c59d233409ef7c4dd9d8519e7836515aaf11ca0bb909
+size 250271
diff --git a/results/train/hyperbola/problem_5479.png b/results/train/hyperbola/problem_5479.png
new file mode 100644
index 0000000000000000000000000000000000000000..76f6d6a2bf56af78a07e9f5fa47245a02acfee5a
--- /dev/null
+++ b/results/train/hyperbola/problem_5479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d58920fdc7278b4008b954d908ff72ad1e809b264810bff419ad432dc772a6c
+size 258834
diff --git a/results/train/hyperbola/problem_5480.png b/results/train/hyperbola/problem_5480.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4e78558bedeabf2b046c3212414bc36cb91fa0e
--- /dev/null
+++ b/results/train/hyperbola/problem_5480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ff2a98a3374642e84a0a6b502e734e43269f535bbdcae06bb745eb6034933ed
+size 259770
diff --git a/results/train/hyperbola/problem_5494.png b/results/train/hyperbola/problem_5494.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6545727d3d89c28f52330e8e5f236d78bb15638
--- /dev/null
+++ b/results/train/hyperbola/problem_5494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39309469b7de026209498958252370e6220d3635d88aa758718525c960907314
+size 258626
diff --git a/results/train/hyperbola/problem_5495.png b/results/train/hyperbola/problem_5495.png
new file mode 100644
index 0000000000000000000000000000000000000000..abcff1304d5e77a1ef53ec00f2fe1ea375a378d0
--- /dev/null
+++ b/results/train/hyperbola/problem_5495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2d4cf064bb95a48a81035492213d11b245bacb2f851567576a7e4ccdbdc94ca
+size 267987
diff --git a/results/train/hyperbola/problem_5496.png b/results/train/hyperbola/problem_5496.png
new file mode 100644
index 0000000000000000000000000000000000000000..2061d8e6e1b889a17268e66c480f5b15554ccc9b
--- /dev/null
+++ b/results/train/hyperbola/problem_5496.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b96d658fbcc9cfa1755d63ef2aa49628d53d242c7d8fe100ce70c23575c7cfd
+size 262462
diff --git a/results/train/hyperbola/problem_5497.png b/results/train/hyperbola/problem_5497.png
new file mode 100644
index 0000000000000000000000000000000000000000..74a5a2f6435771eb969f3a365cb57690bd539c32
--- /dev/null
+++ b/results/train/hyperbola/problem_5497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:363ae6421cc0df5981b07a0e562b8cb761fdbfb53ace77d9343ba1b4e38c8b32
+size 268941
diff --git a/results/train/hyperbola/problem_5498.png b/results/train/hyperbola/problem_5498.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fcd8dff4b90cee3c55a4e5a5fec402ee4ac4b61
--- /dev/null
+++ b/results/train/hyperbola/problem_5498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a5d56fa7620653f3984388d275ecbf853509bce0aadbc630e05bf70b31bf2e4
+size 275822
diff --git a/results/train/hyperbola/problem_5508.png b/results/train/hyperbola/problem_5508.png
new file mode 100644
index 0000000000000000000000000000000000000000..5926e5c32d1ea7f24f7fd780acb39712d1ec0ff7
--- /dev/null
+++ b/results/train/hyperbola/problem_5508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e5dc3d79923c63a0f8db0748c7baba8999d1a15c5890078d63b07b8bcba7d32
+size 256506
diff --git a/results/train/hyperbola/problem_5517.png b/results/train/hyperbola/problem_5517.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bb045d24dc2f073638478c4dfeca84f9b1417ae
--- /dev/null
+++ b/results/train/hyperbola/problem_5517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c132b313ff8bfd5f0fe7ff1f75d12d0df9ac13b928bba289faebd0ed2e4cfd8
+size 260318
diff --git a/results/train/hyperbola/problem_5522.png b/results/train/hyperbola/problem_5522.png
new file mode 100644
index 0000000000000000000000000000000000000000..2419257271ee71a66448577b961366352511348e
--- /dev/null
+++ b/results/train/hyperbola/problem_5522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74408b1996d72c80e431834e95a313c288a34e4a1a84457838ae94cbdda8a2b6
+size 284862
diff --git a/results/train/hyperbola/problem_5524.png b/results/train/hyperbola/problem_5524.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c46ecfdb65c2c6b0f0566821fa802f13443922a
--- /dev/null
+++ b/results/train/hyperbola/problem_5524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fb0addd50b24ad109e3e52fbd275c4204eaf4a986ab7ba49a483fc694983806
+size 261238
diff --git a/results/train/hyperbola/problem_5526.png b/results/train/hyperbola/problem_5526.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e067492fa1a2e60582e36f0ab3b29cd5533bdec
--- /dev/null
+++ b/results/train/hyperbola/problem_5526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cf470cabaf3ea1d096229035810f5e0c91fdd751dde7920d7e75b3fba23a46b
+size 266144
diff --git a/results/train/hyperbola/problem_5531.png b/results/train/hyperbola/problem_5531.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9384172e51dca15248da2edcb68eb56adba45b5
--- /dev/null
+++ b/results/train/hyperbola/problem_5531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08608dff74b63f6c04ba92942b90e1edba454b9ac90bb87cd5d74d65a4ed333f
+size 268410
diff --git a/results/train/hyperbola/problem_5533.png b/results/train/hyperbola/problem_5533.png
new file mode 100644
index 0000000000000000000000000000000000000000..09482d436b8c707c2c3fea31805a896a2f87cf3f
--- /dev/null
+++ b/results/train/hyperbola/problem_5533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:624dc1f3853687483b71a435fbcd70e389e548c23ec891d0405585e42b8f8dd0
+size 257718
diff --git a/results/train/hyperbola/problem_5537.png b/results/train/hyperbola/problem_5537.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5c888f6cee62b2006a58366aad1bc0fb683cfd9
--- /dev/null
+++ b/results/train/hyperbola/problem_5537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95dc526288817762a95d111d3d0a407f55fec3ccf9fff03e62852962fbfdc50e
+size 249441
diff --git a/results/train/hyperbola/problem_5538.png b/results/train/hyperbola/problem_5538.png
new file mode 100644
index 0000000000000000000000000000000000000000..86850b52e01441bd9efdf97c05b7357c926ba2bf
--- /dev/null
+++ b/results/train/hyperbola/problem_5538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:356e1b1bf334534404434a3a400f01587e21e313ec845f0b9c356b5c2589f94f
+size 269270
diff --git a/results/train/hyperbola/problem_5541.png b/results/train/hyperbola/problem_5541.png
new file mode 100644
index 0000000000000000000000000000000000000000..2360735d7c75d277909ea1d4286f2ec2cb7cdd13
--- /dev/null
+++ b/results/train/hyperbola/problem_5541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1633f3c5d18eb63387907792ab846968ed559d6b3cdb16344608a1e986e656b8
+size 264395
diff --git a/results/train/hyperbola/problem_5543.png b/results/train/hyperbola/problem_5543.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee9ba4e3062f0f1fe0c51c37a19138af7730af30
--- /dev/null
+++ b/results/train/hyperbola/problem_5543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a9e636e3baf48c1c46829c5e06c0021b01e6637ebae074afb17ae7425898316
+size 264192
diff --git a/results/train/hyperbola/problem_5548.png b/results/train/hyperbola/problem_5548.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c6d93ac96bb0d4be34dfeeacd7016588393d366
--- /dev/null
+++ b/results/train/hyperbola/problem_5548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a002c346e8307447009b4fba17b2063c0d9f1f6b8c40e338d9dccdeef05cfc7
+size 270238
diff --git a/results/train/hyperbola/problem_5549.png b/results/train/hyperbola/problem_5549.png
new file mode 100644
index 0000000000000000000000000000000000000000..88a1d480d1b3a738fd03a2f1a794119a9c6bc84e
--- /dev/null
+++ b/results/train/hyperbola/problem_5549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e33e451aaba5e9e1e19df362ccc728579b1798dc5c27c91508a056f8186c5cb3
+size 268095
diff --git a/results/train/hyperbola/problem_5552.png b/results/train/hyperbola/problem_5552.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3a31bdcb97283f38e2ac98735253568b7b87e01
--- /dev/null
+++ b/results/train/hyperbola/problem_5552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d893ee4b35c8dcf74b665174e1af0a04fae6ebc924c073f5185732eab56cbc4b
+size 272767
diff --git a/results/train/hyperbola/problem_5566.png b/results/train/hyperbola/problem_5566.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd7651a3af1018f09af72e2ebf72ff170f60c2d5
--- /dev/null
+++ b/results/train/hyperbola/problem_5566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e5a44ce901c12fbfaf0c417d3efbb440c57363bf6a9752c42d20097a7806c7b
+size 270727
diff --git a/results/train/hyperbola/problem_5567.png b/results/train/hyperbola/problem_5567.png
new file mode 100644
index 0000000000000000000000000000000000000000..1414d2c03ec53a16c962889c72ad1321af5bf02b
--- /dev/null
+++ b/results/train/hyperbola/problem_5567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d5c8e42625ad57a161a751559559da68eb69aa734ed2542b240040807a175d0
+size 293873
diff --git a/results/train/hyperbola/problem_5571.png b/results/train/hyperbola/problem_5571.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f442b3ae0efd08af051ca3a499ae2c2b7abbe0c
--- /dev/null
+++ b/results/train/hyperbola/problem_5571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc957d59b2826ad9046af1231a40acb9baa8e1867dd1ffec73b9a972cbb80053
+size 280814
diff --git a/results/train/hyperbola/problem_5575.png b/results/train/hyperbola/problem_5575.png
new file mode 100644
index 0000000000000000000000000000000000000000..20651a8fe1499728933bc2bca277cc83de8b7ff8
--- /dev/null
+++ b/results/train/hyperbola/problem_5575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:190db9e443b44b10a981fbd44ee4f0134969e393131a9981e598c2a791015e13
+size 270407
diff --git a/results/train/hyperbola/problem_5577.png b/results/train/hyperbola/problem_5577.png
new file mode 100644
index 0000000000000000000000000000000000000000..3372a4ec3caa04d2bc2237db525cbdbed29e06a8
--- /dev/null
+++ b/results/train/hyperbola/problem_5577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:648aec88ad57b7d40292d79c9ba871fae3d812d5712df6412515c196a3b0f31a
+size 274092
diff --git a/results/train/hyperbola/problem_5578.png b/results/train/hyperbola/problem_5578.png
new file mode 100644
index 0000000000000000000000000000000000000000..611f95d7ca5e07b29ba18fc5f25f544c4e4986b5
--- /dev/null
+++ b/results/train/hyperbola/problem_5578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:673ac9ae7ba57fdf13182b0cceb78ea71f34494269f75c5a79872cd917957ded
+size 265307
diff --git a/results/train/hyperbola/problem_5580.png b/results/train/hyperbola/problem_5580.png
new file mode 100644
index 0000000000000000000000000000000000000000..125b49fbbf216753facc745c803308fc23f34a87
--- /dev/null
+++ b/results/train/hyperbola/problem_5580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76bf740f622e7d8bb2a38a0b2876dacf5fa6c24065e3e0e2ff16bfd38c5cb86f
+size 257121
diff --git a/results/train/hyperbola/problem_5589.png b/results/train/hyperbola/problem_5589.png
new file mode 100644
index 0000000000000000000000000000000000000000..41745079740d9104f74b0bbb7feafb38ebf995b9
--- /dev/null
+++ b/results/train/hyperbola/problem_5589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c74834c81ac6c96e0053e17e3cbeb243e467c2bb3994a290a2618ae382429ef
+size 275238
diff --git a/results/train/hyperbola/problem_5591.png b/results/train/hyperbola/problem_5591.png
new file mode 100644
index 0000000000000000000000000000000000000000..9903f944d70a8faaf8cf0dbee1becc99bbc60d7c
--- /dev/null
+++ b/results/train/hyperbola/problem_5591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:749eca4791fcc69cb4d404c11f3dbf65a882b7c476fa018e20a1752fa946f3f3
+size 263929
diff --git a/results/train/hyperbola/problem_5592.png b/results/train/hyperbola/problem_5592.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cb475fac5edd92a3f7595243ebe23d29eb23b77
--- /dev/null
+++ b/results/train/hyperbola/problem_5592.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1583f14606ea436fb0dffb1a466c3634b9dc65830de1820f05fa691cf930e310
+size 286933
diff --git a/results/train/hyperbola/problem_5595.png b/results/train/hyperbola/problem_5595.png
new file mode 100644
index 0000000000000000000000000000000000000000..d39dfdc1087f0f17931a26b3b127948111ea72c5
--- /dev/null
+++ b/results/train/hyperbola/problem_5595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9df56faed18a9702a114b11b496a2ef05069aa87447d9200fc769e776d7b017e
+size 274096
diff --git a/results/train/hyperbola/problem_5598.png b/results/train/hyperbola/problem_5598.png
new file mode 100644
index 0000000000000000000000000000000000000000..2be98fa3847a387d06a38675c34708a1e08e2e8d
--- /dev/null
+++ b/results/train/hyperbola/problem_5598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6eeaf2f6fc0bb7ad9fed859dccfcc474da55791371ab1ad827dc0f7b2fc7767b
+size 256832
diff --git a/results/train/hyperbola/problem_5602.png b/results/train/hyperbola/problem_5602.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd4a00762d5cbb70e91635644b05a41b8bd0dae4
--- /dev/null
+++ b/results/train/hyperbola/problem_5602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb53965baf5cfe8c5858905d44580edf2e131d916663ca715a079e7035980cec
+size 245992
diff --git a/results/train/hyperbola/problem_5604.png b/results/train/hyperbola/problem_5604.png
new file mode 100644
index 0000000000000000000000000000000000000000..cede35c17f86e09644c3519998b3d7a1aa485487
--- /dev/null
+++ b/results/train/hyperbola/problem_5604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82a386c3bffad7134168d926ada32cf22a5ffd436cb82950977dced854de8752
+size 257926
diff --git a/results/train/hyperbola/problem_5606.png b/results/train/hyperbola/problem_5606.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cd5f7e57036031b101d2c95c3581920850fd8b3
--- /dev/null
+++ b/results/train/hyperbola/problem_5606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2a95dd127fef43212711758d543d8db11dc5dbf6d18ee26d17899c083aa940c
+size 276589
diff --git a/results/train/hyperbola/problem_5607.png b/results/train/hyperbola/problem_5607.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6e27aff4b5ebeff9860f452996c941992fe67cd
--- /dev/null
+++ b/results/train/hyperbola/problem_5607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23fe8c65fccc04d1d36c036ce9c10ae2acc2cf9e9fe806d8b5ee6c9cad2b8cb8
+size 269117
diff --git a/results/train/hyperbola/problem_5609.png b/results/train/hyperbola/problem_5609.png
new file mode 100644
index 0000000000000000000000000000000000000000..dc9cbf00d396839ad7f1b512569291c44a12d977
--- /dev/null
+++ b/results/train/hyperbola/problem_5609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6d6e72b0d1b018daf8993894427862968439aaf59aec541fac610b0b4c2df03
+size 265792
diff --git a/results/train/hyperbola/problem_5619.png b/results/train/hyperbola/problem_5619.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba893808e6053e5d735ad0d748910d4ecb9693d2
--- /dev/null
+++ b/results/train/hyperbola/problem_5619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06c9747e9550f7f1f8ea05be0860081f8ba008e4bcf43fa6ef93eaf4a34f0a8e
+size 275079
diff --git a/results/train/hyperbola/problem_5620.png b/results/train/hyperbola/problem_5620.png
new file mode 100644
index 0000000000000000000000000000000000000000..520963106c1ae8bbc027046ef6038ddccd13c78b
--- /dev/null
+++ b/results/train/hyperbola/problem_5620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2908682382d1c452a827f0cf81fb1facd8552a81455268220935f434b68ea598
+size 279073
diff --git a/results/train/hyperbola/problem_5627.png b/results/train/hyperbola/problem_5627.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4a485d0be63b4b06a8d752d24244d0d44e8d7be
--- /dev/null
+++ b/results/train/hyperbola/problem_5627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d78e0134f8159cee1cb90cad4e01aa9bda1e991c51bce35d9b8612d700b3e5e
+size 275738
diff --git a/results/train/hyperbola/problem_5635.png b/results/train/hyperbola/problem_5635.png
new file mode 100644
index 0000000000000000000000000000000000000000..de7524fdd1597d8232a087f84dde6df53c2d62db
--- /dev/null
+++ b/results/train/hyperbola/problem_5635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3e24dc328615c1c91e354675abcca3e82c46685a2fb5944d1236badf2ef88e0
+size 258293
diff --git a/results/train/hyperbola/problem_5636.png b/results/train/hyperbola/problem_5636.png
new file mode 100644
index 0000000000000000000000000000000000000000..92cce53b40fbfd26e0d6c98c4a0c03353e3112e6
--- /dev/null
+++ b/results/train/hyperbola/problem_5636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d75cb01230ac87d9c3b5a4f1a27997378c760ed1f3fc520063549a3868688915
+size 264815
diff --git a/results/train/hyperbola/problem_5639.png b/results/train/hyperbola/problem_5639.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb976b01a561a48b5f995ec6f3fff8dd9920cfae
--- /dev/null
+++ b/results/train/hyperbola/problem_5639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e3112bfeecd3ceb8dffb70a0250b4fb819a9423447aa5802bdb24c1f9da0029
+size 278866
diff --git a/results/train/hyperbola/problem_5641.png b/results/train/hyperbola/problem_5641.png
new file mode 100644
index 0000000000000000000000000000000000000000..430acbdff682c404515f339c866274f6c7e4a50a
--- /dev/null
+++ b/results/train/hyperbola/problem_5641.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13d25569f25ea6e986ec24ed31e6e99e214670c80eba72c274dde70866ba051f
+size 268972
diff --git a/results/train/hyperbola/problem_5644.png b/results/train/hyperbola/problem_5644.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cb7d51d7f8a7d319c0bb9445553e9d8a63df2ba
--- /dev/null
+++ b/results/train/hyperbola/problem_5644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7fbab1021634ce36401f245ff9f89d1b5f74b7f22132292236343280d61148f
+size 263198
diff --git a/results/train/hyperbola/problem_5645.png b/results/train/hyperbola/problem_5645.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d4d18001b31ad98f656750eb7f288f56e94c829
--- /dev/null
+++ b/results/train/hyperbola/problem_5645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78d1791e35a281e259edc36ee6c7ebf7f4658e69a4097eae2f5cc66a572e6963
+size 272332
diff --git a/results/train/hyperbola/problem_5647.png b/results/train/hyperbola/problem_5647.png
new file mode 100644
index 0000000000000000000000000000000000000000..18fe842c838a685d41af31420d6e371e6e37b5a5
--- /dev/null
+++ b/results/train/hyperbola/problem_5647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba30ec51687e82e9df15df9d6f63cb06efb54f4f4baebaef9efd248b4c9df39b
+size 266710
diff --git a/results/train/hyperbola/problem_5649.png b/results/train/hyperbola/problem_5649.png
new file mode 100644
index 0000000000000000000000000000000000000000..933f32388d45d1bd36a34a44167ce1c8ab02ae78
--- /dev/null
+++ b/results/train/hyperbola/problem_5649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27f04321fa39691e4b2e030680163b62102600e2b0eae04af51184c89d4d1cd9
+size 237676
diff --git a/results/train/hyperbola/problem_5650.png b/results/train/hyperbola/problem_5650.png
new file mode 100644
index 0000000000000000000000000000000000000000..17b27c18273f22cec570cc6ad94b8620fe0068cd
--- /dev/null
+++ b/results/train/hyperbola/problem_5650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ff9a2afcd6e3f82f59f660e3d22f8940358cca9de24bfe12b3a03f5c9ccbffb
+size 269898
diff --git a/results/train/hyperbola/problem_5651.png b/results/train/hyperbola/problem_5651.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4411c679983c44dd2dc1b160af5f9c22f92e046
--- /dev/null
+++ b/results/train/hyperbola/problem_5651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ac351cd7d2aa894a04824384017136451d16ca6b5b033bc06d3d63fb101b619
+size 269381
diff --git a/results/train/hyperbola/problem_5658.png b/results/train/hyperbola/problem_5658.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5dd45ff607047fbd54b44312912fbfb96d4f4fb
--- /dev/null
+++ b/results/train/hyperbola/problem_5658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18be75011ca0e2429f31cc0aa4bd6a2fb879517fd34116ee0652b93ed745c537
+size 263837
diff --git a/results/train/hyperbola/problem_5662.png b/results/train/hyperbola/problem_5662.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a99178ce83ea8b4df0b93e7b1b5368428123cdf
--- /dev/null
+++ b/results/train/hyperbola/problem_5662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:617a86101ec17c3c75bf4d4f8a6198cf62759220b5e03bf6e6c4581172d0565e
+size 232549
diff --git a/results/train/hyperbola/problem_5664.png b/results/train/hyperbola/problem_5664.png
new file mode 100644
index 0000000000000000000000000000000000000000..55fcf3af01d6f7b7b967ab465165c8a1d58d0001
--- /dev/null
+++ b/results/train/hyperbola/problem_5664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ada074bb7cbe1c877f873a0bda483638f7994d554ce2cb47fcf09871e0f89bfe
+size 274400
diff --git a/results/train/hyperbola/problem_5667.png b/results/train/hyperbola/problem_5667.png
new file mode 100644
index 0000000000000000000000000000000000000000..1464609c051e21479c3e7aa504220fbdb51ec390
--- /dev/null
+++ b/results/train/hyperbola/problem_5667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9234a60c4ad900d9809f3a9f2873adf03d0a49dd67c933fc4a836c742b9e7e88
+size 274002
diff --git a/results/train/hyperbola/problem_5668.png b/results/train/hyperbola/problem_5668.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b936003b6bc1b67be0fbb8ca7960cb5da9e88bc
--- /dev/null
+++ b/results/train/hyperbola/problem_5668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74e7c4524c83f9a1dd3df1c197821936dacc3bf29f2b328dd3220a956b262462
+size 297410
diff --git a/results/train/hyperbola/problem_5684.png b/results/train/hyperbola/problem_5684.png
new file mode 100644
index 0000000000000000000000000000000000000000..33134c6f262a056200f22cb97bbcf8bf8ff7ea06
--- /dev/null
+++ b/results/train/hyperbola/problem_5684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0804a2e7ce4c0351f721906032a2578359c4f61ab44437e59af592cf93310baf
+size 272576
diff --git a/results/train/hyperbola/problem_5686.png b/results/train/hyperbola/problem_5686.png
new file mode 100644
index 0000000000000000000000000000000000000000..c34ff87f1c09189676af0a729088b38f65aba7fe
--- /dev/null
+++ b/results/train/hyperbola/problem_5686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4e478df9269dd4e60866950ff81755ec34bd8f06f5a3270977b291a2aa5b84f
+size 263310
diff --git a/results/train/hyperbola/problem_5688.png b/results/train/hyperbola/problem_5688.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b68179fcb1ff90af7c1d3451608eead42f3e1bc
--- /dev/null
+++ b/results/train/hyperbola/problem_5688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5371b544729981867377cf9f7e3f13a65a760e3a754541cecaa81fe8d70c9fb9
+size 271855
diff --git a/results/train/hyperbola/problem_5690.png b/results/train/hyperbola/problem_5690.png
new file mode 100644
index 0000000000000000000000000000000000000000..21aad56f2066507b60310e1c6669f6dd9ec7a982
--- /dev/null
+++ b/results/train/hyperbola/problem_5690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eae9a8997248a5a99319acb8d776b039c7226e15d56025ba15e0765a425c1395
+size 270158
diff --git a/results/train/hyperbola/problem_5691.png b/results/train/hyperbola/problem_5691.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bd013ea97228304c66527bd01be4e91fdb7883c
--- /dev/null
+++ b/results/train/hyperbola/problem_5691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ed59556836b25f0c0a7a694679d486fb4f4b829474efdffd250a7225ed95c3e
+size 270990
diff --git a/results/train/hyperbola/problem_5695.png b/results/train/hyperbola/problem_5695.png
new file mode 100644
index 0000000000000000000000000000000000000000..2172dc4dc03388de79a7945cca0e5b8c092432a8
--- /dev/null
+++ b/results/train/hyperbola/problem_5695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9a7c87a7a8ef70b587057e8465ff0328c17210d26f1545267d74701d727e86c
+size 265783
diff --git a/results/train/hyperbola/problem_5705.png b/results/train/hyperbola/problem_5705.png
new file mode 100644
index 0000000000000000000000000000000000000000..819b92b626a3dfbdf94917de5ee1f1f21dc3435b
--- /dev/null
+++ b/results/train/hyperbola/problem_5705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57e9b68b80eab71cdc7872cb4e3f2835b4d751da979fc39380d223d7291b743d
+size 257134
diff --git a/results/train/hyperbola/problem_5707.png b/results/train/hyperbola/problem_5707.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffb53774678d5bbf4fcd4ba4887844c0497d1be6
--- /dev/null
+++ b/results/train/hyperbola/problem_5707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d51ce449c4c60c11e8b9c8772a89db11a86ad16295e2beb4873db469a06151
+size 256637
diff --git a/results/train/hyperbola/problem_5708.png b/results/train/hyperbola/problem_5708.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d11e76a4dec665e3c04b7eb498e6e50b324bc06
--- /dev/null
+++ b/results/train/hyperbola/problem_5708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb7e93acfc2e81f149520940cf0a13e784da8b03bc51ec648f7ff24108d9837e
+size 283641
diff --git a/results/train/hyperbola/problem_5711.png b/results/train/hyperbola/problem_5711.png
new file mode 100644
index 0000000000000000000000000000000000000000..296a725b2d496c9bedbf9304b0f8f9cc8221d58a
--- /dev/null
+++ b/results/train/hyperbola/problem_5711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4371a68e07e7fc436e616ff05ca3c932e46b25881c73ea9fcf02d0f91bbbe97a
+size 261416
diff --git a/results/train/hyperbola/problem_5712.png b/results/train/hyperbola/problem_5712.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed0f72835a72bf8bddcd1f78408b5d12148b3d33
--- /dev/null
+++ b/results/train/hyperbola/problem_5712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bb11f93368e5361e992fec87755374533a47a3aca53191bb1a2d13783988661
+size 269103
diff --git a/results/train/hyperbola/problem_5715.png b/results/train/hyperbola/problem_5715.png
new file mode 100644
index 0000000000000000000000000000000000000000..98bf9fedfbb8426cf1f4889c4329fba09d13383b
--- /dev/null
+++ b/results/train/hyperbola/problem_5715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc5a83de9bc0888486bf6cd6b6c4152df30bcde82f473e52546cacf4c798bca1
+size 254832
diff --git a/results/train/hyperbola/problem_5716.png b/results/train/hyperbola/problem_5716.png
new file mode 100644
index 0000000000000000000000000000000000000000..89a26132631b44888a060b3c63902b8c45d0cf52
--- /dev/null
+++ b/results/train/hyperbola/problem_5716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7853e2816d7aefdbacde2ab570ddda090e5bf8af2954a2a1ff1cbe1c1b20a203
+size 270144
diff --git a/results/train/hyperbola/problem_5719.png b/results/train/hyperbola/problem_5719.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9eb80e4e468446350298d0acb56cc9c776a6b30
--- /dev/null
+++ b/results/train/hyperbola/problem_5719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91656b21b11b2378ffae36822367f7721eb4a1cecc8fe8bd265a6fa0f864cbf9
+size 269010
diff --git a/results/train/hyperbola/problem_5725.png b/results/train/hyperbola/problem_5725.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff795beffb71a34eb2ed31096ad9c6595de94002
--- /dev/null
+++ b/results/train/hyperbola/problem_5725.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b4f7715a3c92516a8e8e2ecb56adfb287915f3b42243be99140f26793e041c5
+size 268157
diff --git a/results/train/hyperbola/problem_5727.png b/results/train/hyperbola/problem_5727.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd58d41cef05409fc8b991cca8fe02dfb787c075
--- /dev/null
+++ b/results/train/hyperbola/problem_5727.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d239151680364ee63e5ac48d7e7a057b76c3411be7d5dc99e4cdf7c581c535eb
+size 259212
diff --git a/results/train/hyperbola/problem_5729.png b/results/train/hyperbola/problem_5729.png
new file mode 100644
index 0000000000000000000000000000000000000000..4922595c67d9445320642fe0ea11c070e048b454
--- /dev/null
+++ b/results/train/hyperbola/problem_5729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:453e9a3385729c6be501a7469c6e63b1c099b23c852f2e60f674b61d09fac3ff
+size 265504
diff --git a/results/train/hyperbola/problem_5733.png b/results/train/hyperbola/problem_5733.png
new file mode 100644
index 0000000000000000000000000000000000000000..326f023c0209192094b44b0f5801bc54c4338a74
--- /dev/null
+++ b/results/train/hyperbola/problem_5733.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17c2c5b2c5ce6c45897ed84d51c015694a633dad35a6486ac80732a3b2257dee
+size 272285
diff --git a/results/train/hyperbola/problem_5734.png b/results/train/hyperbola/problem_5734.png
new file mode 100644
index 0000000000000000000000000000000000000000..842ffe2fc37334d58d70c9eee411a247035762f8
--- /dev/null
+++ b/results/train/hyperbola/problem_5734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90c2308faa78dbcad669858913abf4d92b2710d988b39a16bb77529fa54e9d94
+size 279510
diff --git a/results/train/hyperbola/problem_5735.png b/results/train/hyperbola/problem_5735.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f68420b7e3b3fc4cf69b83842408c40c575969b
--- /dev/null
+++ b/results/train/hyperbola/problem_5735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc4c1570fc28bee02734788f3b48f3a270278bac8bfad3587ce4a42abc875574
+size 256871
diff --git a/results/train/hyperbola/problem_5736.png b/results/train/hyperbola/problem_5736.png
new file mode 100644
index 0000000000000000000000000000000000000000..61924c994111cb558a1b404638e46e0caea1ade5
--- /dev/null
+++ b/results/train/hyperbola/problem_5736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:537b138210b2cda69a0e9c02be13ec0ea378e58a1ee28a03ae2b210e8508c41b
+size 255892
diff --git a/results/train/hyperbola/problem_5739.png b/results/train/hyperbola/problem_5739.png
new file mode 100644
index 0000000000000000000000000000000000000000..05b1cfcf081c097c1c04f4f3f4dedd19f93a017e
--- /dev/null
+++ b/results/train/hyperbola/problem_5739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c903545ed8f733dd722a10a3878df3177a08f10defe10fbadebcf587370fe345
+size 244992
diff --git a/results/train/hyperbola/problem_5741.png b/results/train/hyperbola/problem_5741.png
new file mode 100644
index 0000000000000000000000000000000000000000..f30e87356dcbd20bfec67bb499df01b12d70f5e8
--- /dev/null
+++ b/results/train/hyperbola/problem_5741.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd0d3d4b7212eb69b0cc1bf2fd17540a6764cc4c5bc66748c34c4a4c776a115a
+size 245098
diff --git a/results/train/hyperbola/problem_5746.png b/results/train/hyperbola/problem_5746.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a64ec046398cb1873becc098ce87ae1742b66c5
--- /dev/null
+++ b/results/train/hyperbola/problem_5746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0568f5f9fca45be3432accdf9ffb06c89d2df9d265e453b30f97fea6ce5cf20
+size 267763
diff --git a/results/train/hyperbola/problem_5747.png b/results/train/hyperbola/problem_5747.png
new file mode 100644
index 0000000000000000000000000000000000000000..67484870e738f9320b85236642d76b487180276d
--- /dev/null
+++ b/results/train/hyperbola/problem_5747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6724a14ca4c37cb7020b3adccbbc369e525c548e041783d79c7920bfe944705e
+size 327629
diff --git a/results/train/hyperbola/problem_5754.png b/results/train/hyperbola/problem_5754.png
new file mode 100644
index 0000000000000000000000000000000000000000..465ae5e09712814b985deaa016ab60c13e8b7b80
--- /dev/null
+++ b/results/train/hyperbola/problem_5754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbf5b5d091fa5eaf60faa0cce0c83cc6a197ce9063d6f03474221b4710b9ce0c
+size 212682
diff --git a/results/train/hyperbola/problem_5762.png b/results/train/hyperbola/problem_5762.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b5ab5282975c18e598ebe96dd13c98bc639d034
--- /dev/null
+++ b/results/train/hyperbola/problem_5762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:938ba998af07cc3dce21a56ff0198a38d33c7c5a156c2dbda6736dba52bb15dd
+size 253642
diff --git a/results/train/hyperbola/problem_5763.png b/results/train/hyperbola/problem_5763.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e058450810b1572f7e779f49738b864ca808487
--- /dev/null
+++ b/results/train/hyperbola/problem_5763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8970bc0eac726fc97ae288c8bbf5b3a75731c952eb7f98830812a0ea802d983
+size 264749
diff --git a/results/train/hyperbola/problem_5765.png b/results/train/hyperbola/problem_5765.png
new file mode 100644
index 0000000000000000000000000000000000000000..c932ca7e7210779e7b53f3cb4d744c786618ec03
--- /dev/null
+++ b/results/train/hyperbola/problem_5765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2984caf10ff6e486c9784b9ae9703442512813f9ed4574e28c00e337372ca9f
+size 273741
diff --git a/results/train/hyperbola/problem_5767.png b/results/train/hyperbola/problem_5767.png
new file mode 100644
index 0000000000000000000000000000000000000000..7520e4f36e384bac241502ce6f6993576db5146b
--- /dev/null
+++ b/results/train/hyperbola/problem_5767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0707d383d1e82ddf1c0aae16bcb3c485eaf12728247b5e37fed5c2ff5c33eedf
+size 253169
diff --git a/results/train/hyperbola/problem_5775.png b/results/train/hyperbola/problem_5775.png
new file mode 100644
index 0000000000000000000000000000000000000000..b054e109cdaf1243e7073b798abbb95a8a7ee7c1
--- /dev/null
+++ b/results/train/hyperbola/problem_5775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91e5f1ab4f91b32bad61469570843191a20fe5c5bf37c72b13a14de43e00eae7
+size 240872
diff --git a/results/train/hyperbola/problem_5780.png b/results/train/hyperbola/problem_5780.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0a40ecb9c76094be531584934a6675aaa50c3a3
--- /dev/null
+++ b/results/train/hyperbola/problem_5780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d03cf8607f83a595dba6d16cd1b4e1e901852d49f4cd397cd4406e4f00aa3ca8
+size 258218
diff --git a/results/train/hyperbola/problem_5781.png b/results/train/hyperbola/problem_5781.png
new file mode 100644
index 0000000000000000000000000000000000000000..99066911d84f74b2ae230af953c5dd197c1e976e
--- /dev/null
+++ b/results/train/hyperbola/problem_5781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:71c15a1bbd691cb63ef0d5a49ef22f86c5b6b0b717005a9a3d1c80262e0fbd9e
+size 272561
diff --git a/results/train/hyperbola/problem_5782.png b/results/train/hyperbola/problem_5782.png
new file mode 100644
index 0000000000000000000000000000000000000000..4de8337bb2cd2c116b00e23b37bcc4ee831c3f78
--- /dev/null
+++ b/results/train/hyperbola/problem_5782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdb5e46719167c4de7ae4edd2ffee39ac72a586aa03f3297e2bfe871b8b55d90
+size 250682
diff --git a/results/train/hyperbola/problem_5789.png b/results/train/hyperbola/problem_5789.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c01d05f6304ce7c631eed8c74dc5d2f65761c2e
--- /dev/null
+++ b/results/train/hyperbola/problem_5789.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a6b63006996463b77be3cddbe097bddb4a092bb23cf58f1a2294ac1e0b028bd
+size 280616
diff --git a/results/train/hyperbola/problem_5790.png b/results/train/hyperbola/problem_5790.png
new file mode 100644
index 0000000000000000000000000000000000000000..817bbd82926d5d28576668c6484ddbb62bc51d67
--- /dev/null
+++ b/results/train/hyperbola/problem_5790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03288c88067e7c586b0d8933f755b669d9aedc8303ed2c24b2c6b6861c9d56be
+size 254999
diff --git a/results/train/hyperbola/problem_5803.png b/results/train/hyperbola/problem_5803.png
new file mode 100644
index 0000000000000000000000000000000000000000..2de6e255c72fb06a4ba6878dca696d31d4c45e2a
--- /dev/null
+++ b/results/train/hyperbola/problem_5803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d29e31d709b53e06901142523402830049896d7389bf67b3fd4bc8d7e4fabda3
+size 235459
diff --git a/results/train/hyperbola/problem_5805.png b/results/train/hyperbola/problem_5805.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d74088a245341d5b60f35bc48a5b71731440999
--- /dev/null
+++ b/results/train/hyperbola/problem_5805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3874b3e43dd7a25ea354376a686118302a9ae690671b6512c0c71aefe89ff32
+size 272681
diff --git a/results/train/hyperbola/problem_5812.png b/results/train/hyperbola/problem_5812.png
new file mode 100644
index 0000000000000000000000000000000000000000..4577032c3dd68533b6bb4ee2835a66fa3302c836
--- /dev/null
+++ b/results/train/hyperbola/problem_5812.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd24ba9eb479b52e08d9cb292741c86ee5977d770fe0cdacdebb6e6e2bcb8d88
+size 273835
diff --git a/results/train/hyperbola/problem_5815.png b/results/train/hyperbola/problem_5815.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ad049fe3973ac9a24eafb895f670f89ba48c140
--- /dev/null
+++ b/results/train/hyperbola/problem_5815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aace3e4ca132ebefbecd05212b9f6abb965295b0c061e4673a23d2f51028875b
+size 258113
diff --git a/results/train/hyperbola/problem_5818.png b/results/train/hyperbola/problem_5818.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4bb0d794bff9db31290cb855f37de5832fd452b
--- /dev/null
+++ b/results/train/hyperbola/problem_5818.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0ce2d43e0d6e8cda12a0a21f544b056610f8be4224c16c08980515236e5b5aa
+size 264725
diff --git a/results/train/hyperbola/problem_5821.png b/results/train/hyperbola/problem_5821.png
new file mode 100644
index 0000000000000000000000000000000000000000..e29bc34db90c5b0c443909a15ca779a5fd78842f
--- /dev/null
+++ b/results/train/hyperbola/problem_5821.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:192efc0ba1ac2b41d380313f0c66e79274bcfd302216ba3e0209762cc542e7b0
+size 278324
diff --git a/results/train/hyperbola/problem_5824.png b/results/train/hyperbola/problem_5824.png
new file mode 100644
index 0000000000000000000000000000000000000000..221bcdab4527e762e71e92e96a8432c1f9465c75
--- /dev/null
+++ b/results/train/hyperbola/problem_5824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a670cce3b883765e42422c005df763dde41ef01940d9e86df6800063c9ca27a
+size 262710
diff --git a/results/train/hyperbola/problem_5830.png b/results/train/hyperbola/problem_5830.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ac843422f97e82185464a01381fa8ed057c3853
--- /dev/null
+++ b/results/train/hyperbola/problem_5830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6761ab0480d112ce9ca88b9375e27349069dc750622b7abcf1e53091751c4540
+size 266682
diff --git a/results/train/hyperbola/problem_5833.png b/results/train/hyperbola/problem_5833.png
new file mode 100644
index 0000000000000000000000000000000000000000..cb699354f5e7b3fd4aef1e15bba57e11c935685a
--- /dev/null
+++ b/results/train/hyperbola/problem_5833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed47be917252ed1c5d89acdf86237f6adaa4aa268bfaddcf1b1870df27154585
+size 286405
diff --git a/results/train/hyperbola/problem_5841.png b/results/train/hyperbola/problem_5841.png
new file mode 100644
index 0000000000000000000000000000000000000000..4483d590892fb193f9a4783cc0f0d07671864eb3
--- /dev/null
+++ b/results/train/hyperbola/problem_5841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3634dd3e1c42f2f191678cd18aa5d8494f6846e1a1f2b0bac8ecff6af331dce8
+size 270985
diff --git a/results/train/hyperbola/problem_5842.png b/results/train/hyperbola/problem_5842.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9ff3be2838ccb596242f5a515438ccf9a77a397
--- /dev/null
+++ b/results/train/hyperbola/problem_5842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d04535fad8d2be236bf14344398a01b57db3f84aac28b3442534e5b1d8c3e81d
+size 267236
diff --git a/results/train/hyperbola/problem_5844.png b/results/train/hyperbola/problem_5844.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd1eaf3091d0b7fac6deb58906855f7a2378a8d5
--- /dev/null
+++ b/results/train/hyperbola/problem_5844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6699c50cc009cb00e9516b7cd082ad55262641ebfc77abd32f54bce5cfddc2b2
+size 271094
diff --git a/results/train/hyperbola/problem_5845.png b/results/train/hyperbola/problem_5845.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b291588b6ad71f1d5c3b6f15609a431742c7a50
--- /dev/null
+++ b/results/train/hyperbola/problem_5845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1e19e21b86f6e8433d84ad40c9c9c9d0fe40111d2072ce92d3bb56653af8453
+size 245235
diff --git a/results/train/hyperbola/problem_5846.png b/results/train/hyperbola/problem_5846.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb67b62ee9101162816458cd0fab9870a3e2729e
--- /dev/null
+++ b/results/train/hyperbola/problem_5846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16f847865641fc66bd2f76b272de13464830ab4bd8288c6f3bd9f047d3bfd098
+size 276091
diff --git a/results/train/hyperbola/problem_5847.png b/results/train/hyperbola/problem_5847.png
new file mode 100644
index 0000000000000000000000000000000000000000..30e13ee6ec789644201c8a58e20fd9a4379cb140
--- /dev/null
+++ b/results/train/hyperbola/problem_5847.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29c825ae2402a710da3211e9e76666e353a26b13b2d9f93e38cdb2125c10d324
+size 254509
diff --git a/results/train/hyperbola/problem_5850.png b/results/train/hyperbola/problem_5850.png
new file mode 100644
index 0000000000000000000000000000000000000000..e322310dd802f757471aab97d98cf221a82a7541
--- /dev/null
+++ b/results/train/hyperbola/problem_5850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2efb34d0a2102e63dde3bfe61bca1d1452c2feabfbb24c35aef12d5516193ad
+size 263240
diff --git a/results/train/hyperbola/problem_5852.png b/results/train/hyperbola/problem_5852.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4ad454a4d122dcf499bdf1c2165f6e510a2d1db
--- /dev/null
+++ b/results/train/hyperbola/problem_5852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd48744b8cf9726b50aef221a06ddec3e7cc7910aa2fd03529f467039d65545a
+size 262389
diff --git a/results/train/hyperbola/problem_5853.png b/results/train/hyperbola/problem_5853.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf2eccb2b78397ad814e581ee7d3e94595995e56
--- /dev/null
+++ b/results/train/hyperbola/problem_5853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:147fc1b40cf9d8a8c4d0d1ae42bbd98acd385ab397060d34c41bc98faf43c2e0
+size 261478
diff --git a/results/train/hyperbola/problem_5861.png b/results/train/hyperbola/problem_5861.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c52a37b6c393ae49c5661a382ddff9a2d4bedad
--- /dev/null
+++ b/results/train/hyperbola/problem_5861.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e72d94288a61028c58c50cb48f2ea4f24ac499c5b6ef274e4e9499d995d48e4f
+size 238956
diff --git a/results/train/hyperbola/problem_5862.png b/results/train/hyperbola/problem_5862.png
new file mode 100644
index 0000000000000000000000000000000000000000..40817ce1d4489efece620f6e5ff1c58ad592e540
--- /dev/null
+++ b/results/train/hyperbola/problem_5862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad74937a0ec501eadcb54d6dbfcbcbc3555b218e75c03bb4366c90805eceb189
+size 260737
diff --git a/results/train/hyperbola/problem_5864.png b/results/train/hyperbola/problem_5864.png
new file mode 100644
index 0000000000000000000000000000000000000000..d112686b2d1dd165a11318818f417b3ee2395ee7
--- /dev/null
+++ b/results/train/hyperbola/problem_5864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18f4a1ca9c05cffd993ebf8313e41a822fcbd0536f05ef79701e58e62e45bc1f
+size 239159
diff --git a/results/train/hyperbola/problem_5867.png b/results/train/hyperbola/problem_5867.png
new file mode 100644
index 0000000000000000000000000000000000000000..eab98fd743b5477c0c0a6ce47c4db0dc8edec98b
--- /dev/null
+++ b/results/train/hyperbola/problem_5867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d22e33da85be77787cac80c1bce4c0ae4ddc4d8d71a49aa3973e89db689aedc5
+size 260184
diff --git a/results/train/hyperbola/problem_5874.png b/results/train/hyperbola/problem_5874.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a91cb74667231a3dd47c47e594b9cd9708d573f
--- /dev/null
+++ b/results/train/hyperbola/problem_5874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16e804d9375b23d9402d8e30f8aaba651d061ce9bad44f8480ae2dd0f0a4d047
+size 254051
diff --git a/results/train/hyperbola/problem_5880.png b/results/train/hyperbola/problem_5880.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d36e8900d22828d69ccfa9c8875fee3525c588e
--- /dev/null
+++ b/results/train/hyperbola/problem_5880.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:491435531690f98d74c7eb4e51a68dc41d0000efe73a579d86c124fbde4f18d7
+size 259967
diff --git a/results/train/hyperbola/problem_5882.png b/results/train/hyperbola/problem_5882.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1e3973166b0cf822a08a348db729ebc02a263fe
--- /dev/null
+++ b/results/train/hyperbola/problem_5882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6145de460a95cb144d8aaba264235955d88a335d4c44b5616c999f40c0030d10
+size 321508
diff --git a/results/train/hyperbola/problem_5887.png b/results/train/hyperbola/problem_5887.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a50b2ecd385bfdc0612e171804824e36c211da8
--- /dev/null
+++ b/results/train/hyperbola/problem_5887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:524fb64308a808221284a977f580c7ac7120721eccbe9feeb60d9591e94036b3
+size 263096
diff --git a/results/train/hyperbola/problem_5888.png b/results/train/hyperbola/problem_5888.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea6db6e1430103a8d24fdd1a4ee365ba0ec15b37
--- /dev/null
+++ b/results/train/hyperbola/problem_5888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a8a192a2cfff975d8304ec641849ed026437291df0b3704700b281dcf8a873d
+size 255375
diff --git a/results/train/hyperbola/problem_5891.png b/results/train/hyperbola/problem_5891.png
new file mode 100644
index 0000000000000000000000000000000000000000..47f308d681ad4af0579c22da895d2055f1fab441
--- /dev/null
+++ b/results/train/hyperbola/problem_5891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4033813a254b41977328cc9b347b20e880d0e0a4896062aafe9f3e39f9476074
+size 243545
diff --git a/results/train/hyperbola/problem_5898.png b/results/train/hyperbola/problem_5898.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea5764fd2f55e0b7632900b915b7b502618f4a65
--- /dev/null
+++ b/results/train/hyperbola/problem_5898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d64cf47e86e801aa9a3679958ca5d87f62166c1ca10fbf62ccf7c2c79665dfb
+size 252611
diff --git a/results/train/hyperbola/problem_5903.png b/results/train/hyperbola/problem_5903.png
new file mode 100644
index 0000000000000000000000000000000000000000..012319da08e7b7e6a04468feabe57669a83aab59
--- /dev/null
+++ b/results/train/hyperbola/problem_5903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a69d5a867b1fadaf6da6c5f73f6a906fd51277f154fe86742acaa8174e5d2e3b
+size 206573
diff --git a/results/train/hyperbola/problem_5905.png b/results/train/hyperbola/problem_5905.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e9b2cdd607e3cded4aa1da619cfca7a2a2e0a83
--- /dev/null
+++ b/results/train/hyperbola/problem_5905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c47a40f2b50fb5ba1456a580499c0b312d31743c67678f80a55075993b4303c
+size 274636
diff --git a/results/train/hyperbola/problem_5908.png b/results/train/hyperbola/problem_5908.png
new file mode 100644
index 0000000000000000000000000000000000000000..c65330f14ca84f949ae5eac55b7743897ecb8b75
--- /dev/null
+++ b/results/train/hyperbola/problem_5908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98465b09af94569a92062b15767f27814d3ba0edacb498f133a7b577184a8fb1
+size 256515
diff --git a/results/train/hyperbola/problem_5918.png b/results/train/hyperbola/problem_5918.png
new file mode 100644
index 0000000000000000000000000000000000000000..7684bd4cecfe7f55c9b2da3bdaf45cc6d8a2269c
--- /dev/null
+++ b/results/train/hyperbola/problem_5918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c2a51a300ddc2b4df480a108c37bd0a7e34d823e3382dc0d5e916559babc371
+size 274511
diff --git a/results/train/hyperbola/problem_5923.png b/results/train/hyperbola/problem_5923.png
new file mode 100644
index 0000000000000000000000000000000000000000..08552b562d2bb5a8dda55834e166dbdb98bc0a73
--- /dev/null
+++ b/results/train/hyperbola/problem_5923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:113684af33e10971cfa71d5ea5a9278bd64e0bf715dba67dddbd6cf121da8de1
+size 273704
diff --git a/results/train/hyperbola/problem_5928.png b/results/train/hyperbola/problem_5928.png
new file mode 100644
index 0000000000000000000000000000000000000000..844e481e626d1bbf63c63f235b246ef3cbc396a7
--- /dev/null
+++ b/results/train/hyperbola/problem_5928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34debf08ac6620561a1bb16cd4de3659e576793a4b84284e7b29f80b44a6db7f
+size 269006
diff --git a/results/train/hyperbola/problem_5937.png b/results/train/hyperbola/problem_5937.png
new file mode 100644
index 0000000000000000000000000000000000000000..aaf64016b18143fd9bb58c7093b784858b292f0b
--- /dev/null
+++ b/results/train/hyperbola/problem_5937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59fc93a8d94a896dd2093b96ef5c383cf062d1ae9b46e067664b2ae223dcf851
+size 276660
diff --git a/results/train/hyperbola/problem_5942.png b/results/train/hyperbola/problem_5942.png
new file mode 100644
index 0000000000000000000000000000000000000000..993851df270f6e9d74f7fb38aed492c2166ddc3f
--- /dev/null
+++ b/results/train/hyperbola/problem_5942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbd55f7cb4bf3b5f450769a90b1d70627fd97212cfcb66c0d53f9dbdeb9895b2
+size 291778
diff --git a/results/train/hyperbola/problem_5950.png b/results/train/hyperbola/problem_5950.png
new file mode 100644
index 0000000000000000000000000000000000000000..d02d00b6552af773774a49d0ad1598436d367c2e
--- /dev/null
+++ b/results/train/hyperbola/problem_5950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad5a5c970fbf58982ce9cd3cae0ed99267363f89eef0c46438a549a3553e3dc6
+size 255369
diff --git a/results/train/hyperbola/problem_5967.png b/results/train/hyperbola/problem_5967.png
new file mode 100644
index 0000000000000000000000000000000000000000..1822cc17098e2b3d6e0d90bb223ff250b4139ca4
--- /dev/null
+++ b/results/train/hyperbola/problem_5967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c119744d3412db8243e1a6f25ff9dd80ef3de9f51a59301f54a694ecd59a3b8
+size 263088
diff --git a/results/train/hyperbola/problem_5972.png b/results/train/hyperbola/problem_5972.png
new file mode 100644
index 0000000000000000000000000000000000000000..1141b4e208231c3e4cea12c9940f19b917db1881
--- /dev/null
+++ b/results/train/hyperbola/problem_5972.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c7ed233b5373c495828b72fcd9fd31ceb54cbd2610fc049b0f8139562c536e8
+size 260762
diff --git a/results/train/hyperbola/problem_5974.png b/results/train/hyperbola/problem_5974.png
new file mode 100644
index 0000000000000000000000000000000000000000..a93f205f790b58ccad3c9c38874045da148be2f1
--- /dev/null
+++ b/results/train/hyperbola/problem_5974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d839ef8c10439f7532674352506adc4c19bb01564b66541afbfec512dcb18f97
+size 272240
diff --git a/results/train/hyperbola/problem_5976.png b/results/train/hyperbola/problem_5976.png
new file mode 100644
index 0000000000000000000000000000000000000000..a57e0a331137010e688278517dec0aae3a1890f8
--- /dev/null
+++ b/results/train/hyperbola/problem_5976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fd5f5f593ab1223e8249bbdd751287f95cfee9145a251067d4065eb78f2f378
+size 263609
diff --git a/results/train/hyperbola/problem_5984.png b/results/train/hyperbola/problem_5984.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a4aaae7768fc5b800ed76317f54128a17377b72
--- /dev/null
+++ b/results/train/hyperbola/problem_5984.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e67af393167be9a7884ed8595966c7b668a6d1fc9f989981fe0862ec97ca31c6
+size 274596
diff --git a/results/train/hyperbola/problem_5985.png b/results/train/hyperbola/problem_5985.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d2cb511c31192786a263a0f91bef06e1533b3c6
--- /dev/null
+++ b/results/train/hyperbola/problem_5985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9fdb589d7bfde3687b7148468dbb1fe55902d9177c010531aa63a4a11e7d8296
+size 269242
diff --git a/results/train/hyperbola/problem_5989.png b/results/train/hyperbola/problem_5989.png
new file mode 100644
index 0000000000000000000000000000000000000000..80ff348f12e83d39de5ea29b1c37b8c557298319
--- /dev/null
+++ b/results/train/hyperbola/problem_5989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a984a373df67abf0e6e4fc8bd0f52d0e862404fec0df7c738c9903cd18bcce7
+size 262086
diff --git a/results/train/hyperbola/problem_5993.png b/results/train/hyperbola/problem_5993.png
new file mode 100644
index 0000000000000000000000000000000000000000..554e8d37e2c5071b973b9d3d2ef6b410557d5a67
--- /dev/null
+++ b/results/train/hyperbola/problem_5993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1dbd3e2c9f3100ead7ff8dffc5cccd43f7d9289dee0384dd5933b37070c4bae
+size 259728
diff --git a/results/train/hyperbola/problem_5997.png b/results/train/hyperbola/problem_5997.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb83d20c1208a50c2088609634ee9dd81bfe5df5
--- /dev/null
+++ b/results/train/hyperbola/problem_5997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4ea362c15969298de6348f38e84eca28f38337da48ef77fc0508e0c4689d348
+size 301180
diff --git a/results/train/hyperbola/problem_5999.png b/results/train/hyperbola/problem_5999.png
new file mode 100644
index 0000000000000000000000000000000000000000..10a0bdeb9b3dda87176a32504b1c0cf3e4d751f3
--- /dev/null
+++ b/results/train/hyperbola/problem_5999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05f0f563ec6f0fbf9c387ffc2d3a7a4b175495cf0bf6631e581a3e9e197297cb
+size 266139
diff --git a/results/train/hyperbola/problem_6006.png b/results/train/hyperbola/problem_6006.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ee685f2ec1949bdbcad4b1e5c07d08a5a25eeea
--- /dev/null
+++ b/results/train/hyperbola/problem_6006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4ae5ce9d535c96459bd6b13ee27bcf2d544901bae0f2ef569c3c9e08d8b9c3c
+size 263271
diff --git a/results/train/hyperbola/problem_6008.png b/results/train/hyperbola/problem_6008.png
new file mode 100644
index 0000000000000000000000000000000000000000..66073c93e7f6d53575dda6b11be6042a3ed3bb20
--- /dev/null
+++ b/results/train/hyperbola/problem_6008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:038cd4e89003a82b0e3d34b7d87b1bde0f71406c93007c1d404df4dd192d46b6
+size 256908
diff --git a/results/train/hyperbola/problem_6010.png b/results/train/hyperbola/problem_6010.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bfb9fab2fc3f58240c519f2ac23fcb171989667
--- /dev/null
+++ b/results/train/hyperbola/problem_6010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df423df3feb6e114f956ef9a1995cbfb5eb7b1fefe0ae211f901128b9711806b
+size 272326
diff --git a/results/train/hyperbola/problem_6014.png b/results/train/hyperbola/problem_6014.png
new file mode 100644
index 0000000000000000000000000000000000000000..a555c74f024e3a6c7ba43848f00d6d6ca8ae9b50
--- /dev/null
+++ b/results/train/hyperbola/problem_6014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eda67ed67c0e9fdc1f6919d5df9b3b740c03211e03f5cb1d80dd67d2362f83fd
+size 283782
diff --git a/results/train/hyperbola/problem_6015.png b/results/train/hyperbola/problem_6015.png
new file mode 100644
index 0000000000000000000000000000000000000000..170f36523df59a8829b2d508e809b8f1d809227e
--- /dev/null
+++ b/results/train/hyperbola/problem_6015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42f5805b78da9e72411f637584633c083f0480814794e0f641c54aa6d7b91377
+size 240079
diff --git a/results/train/hyperbola/problem_6016.png b/results/train/hyperbola/problem_6016.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f6568a3574ce8a164aa9a8f280e1f48b0546053
--- /dev/null
+++ b/results/train/hyperbola/problem_6016.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b6899862d69c1fc6b31015d8e65f957430165aec8e22888605ed89a7f96fe73
+size 269548
diff --git a/results/train/hyperbola/problem_6017.png b/results/train/hyperbola/problem_6017.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d16da1f8e643717eb5e6e42ea659056fafed244
--- /dev/null
+++ b/results/train/hyperbola/problem_6017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa4de23096d02c3f7a65e90786ad18fc08869059d186178cebd82ec318b6c23f
+size 252811
diff --git a/results/train/hyperbola/problem_6019.png b/results/train/hyperbola/problem_6019.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cd769c3877dedf416fe73c0a1d01fdebe4001ee
--- /dev/null
+++ b/results/train/hyperbola/problem_6019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da9d83cf880619a3dd2c23378810f01a9aeb977537d7c2a2ed92c628259ab375
+size 257043
diff --git a/results/train/hyperbola/problem_6024.png b/results/train/hyperbola/problem_6024.png
new file mode 100644
index 0000000000000000000000000000000000000000..82dccc3b6f0ce84c8b7b1b745eb2f2ac181ad236
--- /dev/null
+++ b/results/train/hyperbola/problem_6024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a3bbb935a544d8dda64c4516bf541becda758c440b36416aaa083a6b82c66a8
+size 299093
diff --git a/results/train/hyperbola/problem_6025.png b/results/train/hyperbola/problem_6025.png
new file mode 100644
index 0000000000000000000000000000000000000000..567159bfb9fb08dd923653635435e00f6156f179
--- /dev/null
+++ b/results/train/hyperbola/problem_6025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19b89925c53ded8c83693a879d729efe114f7190ee0268c2f9ebbeefcf7410d2
+size 271721
diff --git a/results/train/hyperbola/problem_6043.png b/results/train/hyperbola/problem_6043.png
new file mode 100644
index 0000000000000000000000000000000000000000..1925bc137a18c2d943bf655a95e52d57fc5c5916
--- /dev/null
+++ b/results/train/hyperbola/problem_6043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bbcb932dc12cd36e24e9be70bdfea10f30b1ac335008934570fb4564ddb1e54
+size 238772
diff --git a/results/train/hyperbola/problem_6044.png b/results/train/hyperbola/problem_6044.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebf6b9e6ca2c2202efccfc26afc4bf310e18eaac
--- /dev/null
+++ b/results/train/hyperbola/problem_6044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7079c03dfc9acca357d60ccc1e673a5fd789cd993b878a70fe40bfc6af5b8b1
+size 253564
diff --git a/results/train/hyperbola/problem_6047.png b/results/train/hyperbola/problem_6047.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b82cf4a6480e2e7387e13d333b37fd7eaadf8ea
--- /dev/null
+++ b/results/train/hyperbola/problem_6047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3b572aa296f06eb1ea988fa1653fb9e9cdbb637d88234f07dfa046cb4a5e900
+size 272422
diff --git a/results/train/hyperbola/problem_6049.png b/results/train/hyperbola/problem_6049.png
new file mode 100644
index 0000000000000000000000000000000000000000..10e0a8aa3f3f1bf17799adb6b17794b398772c3c
--- /dev/null
+++ b/results/train/hyperbola/problem_6049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ec29ab42e35f3f313aa0231b5dd5dcc6a7ef13e3847e5bb7ab409346cf10f3e
+size 271376
diff --git a/results/train/hyperbola/problem_6051.png b/results/train/hyperbola/problem_6051.png
new file mode 100644
index 0000000000000000000000000000000000000000..291bced881067ccdff9d4f86751b330f2206c260
--- /dev/null
+++ b/results/train/hyperbola/problem_6051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afba76b2bd888ea29f510352c5bee7f1d7cc2b25038daca0f565747f85872054
+size 259781
diff --git a/results/train/hyperbola/problem_6052.png b/results/train/hyperbola/problem_6052.png
new file mode 100644
index 0000000000000000000000000000000000000000..3db711ceb2338581b75f78366b5cae6bb529625f
--- /dev/null
+++ b/results/train/hyperbola/problem_6052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1f4a03c6b3270d110c939bd2a7de9d231c22f3f081d84125fbd60b5ab159ce8
+size 257587
diff --git a/results/train/hyperbola/problem_6056.png b/results/train/hyperbola/problem_6056.png
new file mode 100644
index 0000000000000000000000000000000000000000..e520b666916fe0022cfb360a6d4c5dd75e8af504
--- /dev/null
+++ b/results/train/hyperbola/problem_6056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc2074fec5da9a281dbf9c045d6573228fc805bc788ac069c5d371bd593f7421
+size 273613
diff --git a/results/train/hyperbola/problem_6061.png b/results/train/hyperbola/problem_6061.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cd61ae2ca48f11fd5f4a580df95c784611ab577
--- /dev/null
+++ b/results/train/hyperbola/problem_6061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a7a32fe52517e5cd3676d33ad3e8837cec4be3545d9136253acbb9d26a0d37b
+size 266081
diff --git a/results/train/hyperbola/problem_6063.png b/results/train/hyperbola/problem_6063.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2a5e22072cfdb3395779afd7aabbb55dc8b399c
--- /dev/null
+++ b/results/train/hyperbola/problem_6063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b87a1d73e53a0556f40d391acbd4e5718c42e647756f7dce6390c60933d18c5
+size 240831
diff --git a/results/train/hyperbola/problem_6075.png b/results/train/hyperbola/problem_6075.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3f5de1ab6a25c664e8ba8265862ff84b34edcea
--- /dev/null
+++ b/results/train/hyperbola/problem_6075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37ef3f97adb38f03dcc6949bacfbf7be6a896da8295079d832aa04507a12539b
+size 259949
diff --git a/results/train/hyperbola/problem_6076.png b/results/train/hyperbola/problem_6076.png
new file mode 100644
index 0000000000000000000000000000000000000000..101536bf40c779018070358bde10641d5c9167e8
--- /dev/null
+++ b/results/train/hyperbola/problem_6076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:476633c6e751b80b4c92079f5cc7721fe6e8c3e8a4e8f109478423026b2b2184
+size 262818
diff --git a/results/train/hyperbola/problem_6080.png b/results/train/hyperbola/problem_6080.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa9da6a73e7fde66abcf298e1c407be6092e5ee1
--- /dev/null
+++ b/results/train/hyperbola/problem_6080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38fc897c1b4fffecd0dc6d1baffa9e85276e3a6eb2c5321622c4bccc73f89ceb
+size 283572
diff --git a/results/train/hyperbola/problem_6081.png b/results/train/hyperbola/problem_6081.png
new file mode 100644
index 0000000000000000000000000000000000000000..1aed24540fa15d8b1e49ee60f6891e8f899767d9
--- /dev/null
+++ b/results/train/hyperbola/problem_6081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4350c19f2f998b8db0f3e45e6175116f9aebf8f70c13d132845d51156d99acc9
+size 265897
diff --git a/results/train/hyperbola/problem_6082.png b/results/train/hyperbola/problem_6082.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea2fc8e723658be926ed6662fb618f8cb3c2857d
--- /dev/null
+++ b/results/train/hyperbola/problem_6082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b1f0a513fd52b50ed8457849448de0baa7022a1fa34938ffb1a4ce8e6d33a9f
+size 231143
diff --git a/results/train/hyperbola/problem_6084.png b/results/train/hyperbola/problem_6084.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecd78a122cfb51c62639b20947e9e096ad873281
--- /dev/null
+++ b/results/train/hyperbola/problem_6084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4b45f291d182b2dc634f03f0f2df9fa9ac43daf71382cdcd731853202f1d209
+size 261354
diff --git a/results/train/hyperbola/problem_6086.png b/results/train/hyperbola/problem_6086.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ecfe04da54add87434cf91649aec5639eddd156
--- /dev/null
+++ b/results/train/hyperbola/problem_6086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:923d2cbc096d97adb5e197d9138af06431a961fd01eb7f0f96414b055493294b
+size 274781
diff --git a/results/train/hyperbola/problem_6087.png b/results/train/hyperbola/problem_6087.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3fc4a246e28d24dc7a7796231745ecbfae180ea
--- /dev/null
+++ b/results/train/hyperbola/problem_6087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eef612b952b75bf5ab7187e027e1550805335f8d05fe77deb8a6781a459ae8e5
+size 274096
diff --git a/results/train/hyperbola/problem_6089.png b/results/train/hyperbola/problem_6089.png
new file mode 100644
index 0000000000000000000000000000000000000000..b623362643c1d49e8a439ab8cfcec82ce0d80cdd
--- /dev/null
+++ b/results/train/hyperbola/problem_6089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d366d13360d2c58f32c32ee1a29b44657adf1d0ee148e76f0ad1bea6a84295e
+size 270150
diff --git a/results/train/hyperbola/problem_6095.png b/results/train/hyperbola/problem_6095.png
new file mode 100644
index 0000000000000000000000000000000000000000..73f3548a754012ec45c0fbca4ff9f6f4b55a9229
--- /dev/null
+++ b/results/train/hyperbola/problem_6095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:399331a22794f80a46790a481bdba415cd71535c304cc88468ade9b171f207b2
+size 268194
diff --git a/results/train/hyperbola/problem_6097.png b/results/train/hyperbola/problem_6097.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ed204e22219dc7c6f6c463cc7a99fedb91c78bb
--- /dev/null
+++ b/results/train/hyperbola/problem_6097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8eace9f98f2e763421f28e68f4b077a99b1d72c27c218887bb213a374a13e0b
+size 245312
diff --git a/results/train/hyperbola/problem_6103.png b/results/train/hyperbola/problem_6103.png
new file mode 100644
index 0000000000000000000000000000000000000000..683be4e6d8a4a71c52b47a095cacf7a33baf36db
--- /dev/null
+++ b/results/train/hyperbola/problem_6103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6d617f0ffa75b9b8cef86626ac2c75cc96b93edb26be56b1bdb3c3358626aae
+size 258592
diff --git a/results/train/hyperbola/problem_6109.png b/results/train/hyperbola/problem_6109.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9056926864ca8734f6c1a978533bdc9a68b98da
--- /dev/null
+++ b/results/train/hyperbola/problem_6109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7744d86e7382ee036c443825018396a7493f33bc169546962a52630709663fe8
+size 262558
diff --git a/results/train/hyperbola/problem_6114.png b/results/train/hyperbola/problem_6114.png
new file mode 100644
index 0000000000000000000000000000000000000000..528a82474e23729bae3ee1560a3bc9267cd41333
--- /dev/null
+++ b/results/train/hyperbola/problem_6114.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76ca57176dd2352e4fe3f5f4085999c3886aca8db3ec5fa6d4fa85781666f3bc
+size 257948
diff --git a/results/train/hyperbola/problem_6120.png b/results/train/hyperbola/problem_6120.png
new file mode 100644
index 0000000000000000000000000000000000000000..a625ddf15bbd3f998decf0ae8147601db09e1488
--- /dev/null
+++ b/results/train/hyperbola/problem_6120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bce21ee18b51d83c50084fedf1d4485855a7f3bba35c24b5fca1a16d6f672b00
+size 291749
diff --git a/results/train/hyperbola/problem_6121.png b/results/train/hyperbola/problem_6121.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bd7dd796f2ebbe53e92c8d08a6b15b2559e0661
--- /dev/null
+++ b/results/train/hyperbola/problem_6121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f66b3e19044c8731896c1791c051f38b5dbc84569520ac8474f6fde0bfd680f1
+size 271460
diff --git a/results/train/hyperbola/problem_6123.png b/results/train/hyperbola/problem_6123.png
new file mode 100644
index 0000000000000000000000000000000000000000..48f44c7ea3038ff30f1e64d963e3ab1c23f7a468
--- /dev/null
+++ b/results/train/hyperbola/problem_6123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfa762d6b4b733500a8ef2ccf49488af7c6c44d50111de434f520d18ffacb020
+size 273039
diff --git a/results/train/hyperbola/problem_6130.png b/results/train/hyperbola/problem_6130.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb285e0674a34c25cce2760d92abbf324cf0fa90
--- /dev/null
+++ b/results/train/hyperbola/problem_6130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0df1990a891819697c617fade4035e9f0bd5e0d86ca8c5e1af2edc0f954e4e8
+size 276439
diff --git a/results/train/hyperbola/problem_6131.png b/results/train/hyperbola/problem_6131.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d7d032f228d5251f64f09150871821a45d4709c
--- /dev/null
+++ b/results/train/hyperbola/problem_6131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:650905edc34bb16ed5fa2b66226791a0d0ba78ee1e5e19ecd8d6f21c493c7ff9
+size 278076
diff --git a/results/train/hyperbola/problem_6133.png b/results/train/hyperbola/problem_6133.png
new file mode 100644
index 0000000000000000000000000000000000000000..523c930056513ae17f55f3c7526f0c177163b91e
--- /dev/null
+++ b/results/train/hyperbola/problem_6133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccf9fbb3d9d581b94937d246117eca7a2b915f87756fd15764e141a3213b0a6b
+size 267942
diff --git a/results/train/hyperbola/problem_6134.png b/results/train/hyperbola/problem_6134.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f9ade464dc9d33237c6746eeb37fbd5b0133066
--- /dev/null
+++ b/results/train/hyperbola/problem_6134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:949d92109b185610cd43240b80065facb8e6af01688c070d213f4f0c4495dc37
+size 268934
diff --git a/results/train/hyperbola/problem_6138.png b/results/train/hyperbola/problem_6138.png
new file mode 100644
index 0000000000000000000000000000000000000000..8425b4e44e1f2e0191aaaef634fbc80a78b0c649
--- /dev/null
+++ b/results/train/hyperbola/problem_6138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef13b20111308d3915994547598f2743f17386ab469f9e872d7cda85b0bfb425
+size 237001
diff --git a/results/train/hyperbola/problem_6145.png b/results/train/hyperbola/problem_6145.png
new file mode 100644
index 0000000000000000000000000000000000000000..3464efd9a506e4f3d458a8902997e8a80d274634
--- /dev/null
+++ b/results/train/hyperbola/problem_6145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c607919ac2eed37cca8a24fd54f79b0dbb56b427205a04936c8230c3b6387812
+size 270595
diff --git a/results/train/hyperbola/problem_6158.png b/results/train/hyperbola/problem_6158.png
new file mode 100644
index 0000000000000000000000000000000000000000..628aebc009bb8de0d6aa2723370fb25fd47ea54a
--- /dev/null
+++ b/results/train/hyperbola/problem_6158.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d817ac0de957c4c1ecfd6bc4bbd681f168f93ed2a8447ea323ac0a8824d4a350
+size 251047
diff --git a/results/train/hyperbola/problem_6162.png b/results/train/hyperbola/problem_6162.png
new file mode 100644
index 0000000000000000000000000000000000000000..a85a6a333793d390862baa50b802c95f8ab424f0
--- /dev/null
+++ b/results/train/hyperbola/problem_6162.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74cd35fe8a3aa6af196613f285f64ada8a711dc024b4563f32cebc490e2c48c7
+size 312305
diff --git a/results/train/hyperbola/problem_6164.png b/results/train/hyperbola/problem_6164.png
new file mode 100644
index 0000000000000000000000000000000000000000..a66af083b410cba2223285cdafec839e38ec5291
--- /dev/null
+++ b/results/train/hyperbola/problem_6164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4131115ee683bea15612d63a0a6ce6ba277cb670965c07cea32ef273954bea93
+size 304817
diff --git a/results/train/hyperbola/problem_6169.png b/results/train/hyperbola/problem_6169.png
new file mode 100644
index 0000000000000000000000000000000000000000..1eed2bec0004d039442e31354b27d584b4c9fd2c
--- /dev/null
+++ b/results/train/hyperbola/problem_6169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efac9a86903d2ef1ab42bb99a06505007c7aeed714c0cc2caaef8dddb0174851
+size 271559
diff --git a/results/train/hyperbola/problem_6170.png b/results/train/hyperbola/problem_6170.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d7e7767b0c794215ffe453b2d181cf7efce0514
--- /dev/null
+++ b/results/train/hyperbola/problem_6170.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37d9132c70fd7b291753632ea4bca3e3955c7130a71cb07fce4ff614a9cfe86e
+size 239320
diff --git a/results/train/hyperbola/problem_6172.png b/results/train/hyperbola/problem_6172.png
new file mode 100644
index 0000000000000000000000000000000000000000..001d85dd6aaf9de52f1a2bf78f4dff0707a05410
--- /dev/null
+++ b/results/train/hyperbola/problem_6172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0c36996654401d1332fe81eca5e75dd09ce1c61e18869442383fee395888196
+size 247951
diff --git a/results/train/hyperbola/problem_6173.png b/results/train/hyperbola/problem_6173.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eb7298e5094a6cc76d2cac00ea5f6f1d81a0ef0
--- /dev/null
+++ b/results/train/hyperbola/problem_6173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a66fa84930f858bca48b0c8185d611c9bffdf1536d5cafb0d1958ef370ed05a2
+size 242229
diff --git a/results/train/hyperbola/problem_6174.png b/results/train/hyperbola/problem_6174.png
new file mode 100644
index 0000000000000000000000000000000000000000..a63683fc486a3c79e0a9569b96faa71d2eaa18ca
--- /dev/null
+++ b/results/train/hyperbola/problem_6174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb56cbfbb76fb8e18077f82e079b29d1febda5408eae59745660af3e4903a4e2
+size 275172
diff --git a/results/train/hyperbola/problem_6175.png b/results/train/hyperbola/problem_6175.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a29f4dce571e89ac4435731999a78b86e5375db
--- /dev/null
+++ b/results/train/hyperbola/problem_6175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d1895bde5e73b53fa46546b40fb91a4f7d16c9732efeff8fd0a32b5af393137
+size 261601
diff --git a/results/train/hyperbola/problem_6181.png b/results/train/hyperbola/problem_6181.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0d84625df971574ed9dbdaf1b3ebe267e652749
--- /dev/null
+++ b/results/train/hyperbola/problem_6181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe7acf841e515da89b7fa96d05f31413b691a227a800fb2ec24d41e959de300a
+size 258995
diff --git a/results/train/hyperbola/problem_6187.png b/results/train/hyperbola/problem_6187.png
new file mode 100644
index 0000000000000000000000000000000000000000..44a75e9ae98da9d831c7549d7d3569aa135f6845
--- /dev/null
+++ b/results/train/hyperbola/problem_6187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:127df0e9774e0e173eb76ff4e9e9efe6b0f178646e6fbd1386c6b1cefe65fc43
+size 262040
diff --git a/results/train/hyperbola/problem_6189.png b/results/train/hyperbola/problem_6189.png
new file mode 100644
index 0000000000000000000000000000000000000000..751b83c9879ed4910acf91d3198041eed36ce9c5
--- /dev/null
+++ b/results/train/hyperbola/problem_6189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd8c0c695ffacf9c210550a637b9e297014f368f427f5fa468baca3d9be2886e
+size 271585
diff --git a/results/train/hyperbola/problem_6194.png b/results/train/hyperbola/problem_6194.png
new file mode 100644
index 0000000000000000000000000000000000000000..9709eaa8c8a2bfb22b73903ce4a042972f167aff
--- /dev/null
+++ b/results/train/hyperbola/problem_6194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1c51db78c2c5c0f569dc6630cf2be66e726f111eb199f7e5546470d28557f6c
+size 269752
diff --git a/results/train/hyperbola/problem_6196.png b/results/train/hyperbola/problem_6196.png
new file mode 100644
index 0000000000000000000000000000000000000000..3dd17f1a9b8a1531bc95a711a3ddf74dcc16f5e7
--- /dev/null
+++ b/results/train/hyperbola/problem_6196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4767620c778dca96f01fc3946b5daea3422f1b69159d46034d09adb90a422b0
+size 269605
diff --git a/results/train/hyperbola/problem_6200.png b/results/train/hyperbola/problem_6200.png
new file mode 100644
index 0000000000000000000000000000000000000000..aab8c9548c6b5822d9602ecd66793eb6244caccb
--- /dev/null
+++ b/results/train/hyperbola/problem_6200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b0277267e2d1ceae850c2f86856b01bb78e7b96896dcfee3ed0ef5a030ea58a
+size 257217
diff --git a/results/train/hyperbola/problem_6201.png b/results/train/hyperbola/problem_6201.png
new file mode 100644
index 0000000000000000000000000000000000000000..74cd5361f059ac0bb32a092298b5b19230c5f6dc
--- /dev/null
+++ b/results/train/hyperbola/problem_6201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa90bbff1440af8ac6fd690e1b436d103e42e14decc66b0f2971788bed905837
+size 258720
diff --git a/results/train/hyperbola/problem_6202.png b/results/train/hyperbola/problem_6202.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ac39f87c13345b4e1c55d0ef30c93c02ac74ce2
--- /dev/null
+++ b/results/train/hyperbola/problem_6202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5ea8cca6a88564a80be66432b61c658509fdb0776cbafa2c11eca1ae0b65685
+size 247620
diff --git a/results/train/hyperbola/problem_6203.png b/results/train/hyperbola/problem_6203.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fc0ec871bf3e26c15a0e3084b41beb0e1546e57
--- /dev/null
+++ b/results/train/hyperbola/problem_6203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d14614015a1afb7f306f266da47fef255dc65d1729ccb51334305efd4c5c08a
+size 260124
diff --git a/results/train/hyperbola/problem_6206.png b/results/train/hyperbola/problem_6206.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff10318237aa0fbcf1baf4eaa24ac05a4e638cd9
--- /dev/null
+++ b/results/train/hyperbola/problem_6206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8610e938580b86598cf3e9a6ca8f3c8fa106bede3a798d779af58a7ee2e22483
+size 270110
diff --git a/results/train/hyperbola/problem_6207.png b/results/train/hyperbola/problem_6207.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e1070604e328fc312e3690f441c0003d831f9ae
--- /dev/null
+++ b/results/train/hyperbola/problem_6207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1624a2d942fc6b52fe320938bb1b62a6a52f2c940aa19756993352c6f3ee14c
+size 269063
diff --git a/results/train/hyperbola/problem_6215.png b/results/train/hyperbola/problem_6215.png
new file mode 100644
index 0000000000000000000000000000000000000000..363fa527251a394e12ad524cc593870b8ab0db7b
--- /dev/null
+++ b/results/train/hyperbola/problem_6215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a602302f15c8ad4d2ca87836911ab8c347f221c9cb6a58b44542935beea0df6c
+size 290379
diff --git a/results/train/hyperbola/problem_6217.png b/results/train/hyperbola/problem_6217.png
new file mode 100644
index 0000000000000000000000000000000000000000..5aaa2416ed23a54ae14ffe22365aa2e39477433f
--- /dev/null
+++ b/results/train/hyperbola/problem_6217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3f9047c48422b74eae7cc8bc0f8b98201d6681d325c670544d332b9566e9932
+size 257929
diff --git a/results/train/hyperbola/problem_6222.png b/results/train/hyperbola/problem_6222.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3fc1591c1c2a67dc1ae4ce04145205b26403184
--- /dev/null
+++ b/results/train/hyperbola/problem_6222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccdb35fa7d230a15fb5a8ae3b43720a7f0ad26c33dd30a22f8f4bf22c1aa35b5
+size 272256
diff --git a/results/train/hyperbola/problem_6231.png b/results/train/hyperbola/problem_6231.png
new file mode 100644
index 0000000000000000000000000000000000000000..d75fd34a237238b6afa027366371fa4ca2a21843
--- /dev/null
+++ b/results/train/hyperbola/problem_6231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:559403be764ca20375055a6084754a47b070757010ba93b88ddb61bf43972f3d
+size 256287
diff --git a/results/train/hyperbola/problem_6232.png b/results/train/hyperbola/problem_6232.png
new file mode 100644
index 0000000000000000000000000000000000000000..614b8504326b1d24b3da94ad9c5bd8b6c98c1464
--- /dev/null
+++ b/results/train/hyperbola/problem_6232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd314b4da3965be2557c8713ff0f148d88b9207464aa8780c1011b87f5599792
+size 256178
diff --git a/results/train/hyperbola/problem_6236.png b/results/train/hyperbola/problem_6236.png
new file mode 100644
index 0000000000000000000000000000000000000000..3766600e01d9c927a80c28325b89fff728141b2b
--- /dev/null
+++ b/results/train/hyperbola/problem_6236.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:059db1ad0c194685bde850f0af8b36a419c5be7bff4ccfbf767459a87cb8fca2
+size 268688
diff --git a/results/train/hyperbola/problem_6239.png b/results/train/hyperbola/problem_6239.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cef749a2fbd619d5b4a3d8073e5b2e967fc8ee1
--- /dev/null
+++ b/results/train/hyperbola/problem_6239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:378c37598593919ea791d694021d2319d36c61bfa78d8c1cf00bafe7c17862c2
+size 276536
diff --git a/results/train/hyperbola/problem_6249.png b/results/train/hyperbola/problem_6249.png
new file mode 100644
index 0000000000000000000000000000000000000000..7651562fbbddea82667b6d9d76db4ba8d8fe3106
--- /dev/null
+++ b/results/train/hyperbola/problem_6249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f76f6b2c1ea5747323afcaac3204d3f783343f80496a3625af7ae2a138959b6f
+size 266275
diff --git a/results/train/hyperbola/problem_6251.png b/results/train/hyperbola/problem_6251.png
new file mode 100644
index 0000000000000000000000000000000000000000..d77f8eeb60cba9abd690428e35478c3f56d9997e
--- /dev/null
+++ b/results/train/hyperbola/problem_6251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:162ddb2e03393ae78e657acc8355233f15001efbc69457872b71b42f737ee9b8
+size 268500
diff --git a/results/train/hyperbola/problem_6252.png b/results/train/hyperbola/problem_6252.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d72a7572d7b514ea0de923a0f5f3341a0ecdcc1
--- /dev/null
+++ b/results/train/hyperbola/problem_6252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18a96d254105179c75b57ac162d7c2a482758637db4bfa0bf63c9e55563b625d
+size 274821
diff --git a/results/train/hyperbola/problem_6253.png b/results/train/hyperbola/problem_6253.png
new file mode 100644
index 0000000000000000000000000000000000000000..459e9e134b321c2446a147c573a39c6220447c6b
--- /dev/null
+++ b/results/train/hyperbola/problem_6253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa4dc77a8dcbd5027339639d9f9dbf6e64fba42a4c197543f8c9fa1557926ed5
+size 237347
diff --git a/results/train/hyperbola/problem_6255.png b/results/train/hyperbola/problem_6255.png
new file mode 100644
index 0000000000000000000000000000000000000000..aaa0b5b70cf206f97222822cb4fb20c4e57f59ef
--- /dev/null
+++ b/results/train/hyperbola/problem_6255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f8e33fd087fcd4c49007a3f5c2bf7467cdcbac1ca7862efb8f0e635d102a35b
+size 250170
diff --git a/results/train/hyperbola/problem_6265.png b/results/train/hyperbola/problem_6265.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e0c5f2f8244fc51c595b46a5a9bf461ff4e3d10
--- /dev/null
+++ b/results/train/hyperbola/problem_6265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31d187c08fa5b9f2c5b4fb83a941110bcaf810f99cb971d610092debd85601fa
+size 274323
diff --git a/results/train/hyperbola/problem_6270.png b/results/train/hyperbola/problem_6270.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a72397ea32640807651a039af4ff8539b0661e5
--- /dev/null
+++ b/results/train/hyperbola/problem_6270.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c87085cd96ca0b363052c1fa50c69c2cad627d70f7bdd539e622af48e625097a
+size 228898
diff --git a/results/train/hyperbola/problem_6271.png b/results/train/hyperbola/problem_6271.png
new file mode 100644
index 0000000000000000000000000000000000000000..664100a2bd77ba01546a11fb366644859b97dac9
--- /dev/null
+++ b/results/train/hyperbola/problem_6271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66ab84f2fa1acd2a92c06f4b570abdfb4cffa8273c7406a8be267f4c9667636e
+size 245630
diff --git a/results/train/hyperbola/problem_6272.png b/results/train/hyperbola/problem_6272.png
new file mode 100644
index 0000000000000000000000000000000000000000..a23b2e3a624db0c28ba5014c7988f8d074956cae
--- /dev/null
+++ b/results/train/hyperbola/problem_6272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e7090ac7886f848d697f29a1ab6f4e01f477a1bf163082534e7229a6adf308b
+size 259649
diff --git a/results/train/hyperbola/problem_6274.png b/results/train/hyperbola/problem_6274.png
new file mode 100644
index 0000000000000000000000000000000000000000..cab57422799420108f6e03385e8bf99ac3f2ffb0
--- /dev/null
+++ b/results/train/hyperbola/problem_6274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34224b071d01ca15dcee549f131839339788120c4420f42a9d2488dbd15896f6
+size 266079
diff --git a/results/train/hyperbola/problem_6281.png b/results/train/hyperbola/problem_6281.png
new file mode 100644
index 0000000000000000000000000000000000000000..154b5b2daa8bc823960dfbf8ab78750b746bb923
--- /dev/null
+++ b/results/train/hyperbola/problem_6281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d82dd206838f1aa7477506879e95f44cee0cf6b9c776a54b59514fb0658e5830
+size 257514
diff --git a/results/train/hyperbola/problem_6283.png b/results/train/hyperbola/problem_6283.png
new file mode 100644
index 0000000000000000000000000000000000000000..78e655a31e2f82d0a5cf55c1100e9b481fd44d55
--- /dev/null
+++ b/results/train/hyperbola/problem_6283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cc88194f372f0158efbcca44ad67ef7eddf0ae06abd950d9dcf8dde2d25bfe2
+size 266512
diff --git a/results/train/hyperbola/problem_6285.png b/results/train/hyperbola/problem_6285.png
new file mode 100644
index 0000000000000000000000000000000000000000..c921aa6b897623922ab0433debabbdb012f4103d
--- /dev/null
+++ b/results/train/hyperbola/problem_6285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3238b2eefb73fef66a61875d7ccedd908d7acaf141c8d2278c0cd53ca492e48f
+size 257885
diff --git a/results/train/hyperbola/problem_6288.png b/results/train/hyperbola/problem_6288.png
new file mode 100644
index 0000000000000000000000000000000000000000..69284552aaa51a47a65c74c2cd6b0cf38183dc8a
--- /dev/null
+++ b/results/train/hyperbola/problem_6288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c14d0c8c82ac7fc37ad07b0dfa02f0a1c53d3fa882af0cf4f1f6af0c21891bd
+size 252218
diff --git a/results/train/hyperbola/problem_6290.png b/results/train/hyperbola/problem_6290.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7d1ee12008360b6c1aa16643088edee33851e79
--- /dev/null
+++ b/results/train/hyperbola/problem_6290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27b1c9c367513ed22b4eaf4444125fe55952f523afbc56703eeb5ed63c21ddd6
+size 236995
diff --git a/results/train/hyperbola/problem_6293.png b/results/train/hyperbola/problem_6293.png
new file mode 100644
index 0000000000000000000000000000000000000000..974dcdd52c944af33402f576ca5079e7117acb7a
--- /dev/null
+++ b/results/train/hyperbola/problem_6293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d55edbecbefcfb44c0fa82b9ac885b9e0fb3165e815f85b1d64d80c99b138c8
+size 269862
diff --git a/results/train/hyperbola/problem_6297.png b/results/train/hyperbola/problem_6297.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bd290b605cf50182ccf96d59c8bb85f1d6a8215
--- /dev/null
+++ b/results/train/hyperbola/problem_6297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f021dbb125e79a459340bf2989f9d307c151910f380636d138dee2bf7c79ebd8
+size 259146
diff --git a/results/train/hyperbola/problem_6299.png b/results/train/hyperbola/problem_6299.png
new file mode 100644
index 0000000000000000000000000000000000000000..538f83b9ac7c756f510d2370296c1a12a3a686ef
--- /dev/null
+++ b/results/train/hyperbola/problem_6299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:337f6f45bbfa6f29e906dc9b4f738de3cff971f319cfcc3dad83f0918012028c
+size 269353
diff --git a/results/train/hyperbola/problem_6301.png b/results/train/hyperbola/problem_6301.png
new file mode 100644
index 0000000000000000000000000000000000000000..2314d5b8d256daae7dd88289fcfbffeb646ed219
--- /dev/null
+++ b/results/train/hyperbola/problem_6301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4109a9a407354d0e8277d63bce16e10a19a655533c6dde1e63f13e6f37e60941
+size 258070
diff --git a/results/train/hyperbola/problem_6305.png b/results/train/hyperbola/problem_6305.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbb6dae406d6d1463619a433a0856528113a5d35
--- /dev/null
+++ b/results/train/hyperbola/problem_6305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e01ad7b03c0cbeef4c3a1459c48ea8f96e45f603cd1ea954f5e19c68b3fa897
+size 261029
diff --git a/results/train/hyperbola/problem_6306.png b/results/train/hyperbola/problem_6306.png
new file mode 100644
index 0000000000000000000000000000000000000000..a13d5de78e036b26c3ffc7c14ae8693776686679
--- /dev/null
+++ b/results/train/hyperbola/problem_6306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5e6f4ed5a49fddef62f86684797101a4fcfc9fe91798850a912c7ef8734dabf
+size 279245
diff --git a/results/train/hyperbola/problem_6309.png b/results/train/hyperbola/problem_6309.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a809e9532eaf4b0651367781f21c4261441c41c
--- /dev/null
+++ b/results/train/hyperbola/problem_6309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cad622c4399f3035217830f8e83ef4672b2babac63713036ffcba13da72b6438
+size 249639
diff --git a/results/train/hyperbola/problem_6313.png b/results/train/hyperbola/problem_6313.png
new file mode 100644
index 0000000000000000000000000000000000000000..2356e121a8f20ec8010df8270acd499d8c2f18ca
--- /dev/null
+++ b/results/train/hyperbola/problem_6313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9f1dffcfd9337649f7178c3de348f1e7875b81d62898041fd9112027c5b4fae
+size 246924
diff --git a/results/train/hyperbola/problem_6314.png b/results/train/hyperbola/problem_6314.png
new file mode 100644
index 0000000000000000000000000000000000000000..5690b765ac8f5817cdf9b833ac53b63a4d1e35a4
--- /dev/null
+++ b/results/train/hyperbola/problem_6314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ea80e984265678c66602e073881fedd748e1d64dc961666e49c80ed893f4b4f
+size 260858
diff --git a/results/train/hyperbola/problem_6323.png b/results/train/hyperbola/problem_6323.png
new file mode 100644
index 0000000000000000000000000000000000000000..e98ce2487cc5490371899098126208e30db26d48
--- /dev/null
+++ b/results/train/hyperbola/problem_6323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1907235c3ff18e66775c863d03968613a5a6ea449e55562c84d78ab143e523e7
+size 275507
diff --git a/results/train/hyperbola/problem_6326.png b/results/train/hyperbola/problem_6326.png
new file mode 100644
index 0000000000000000000000000000000000000000..374d77a683c186f60727b11a2933f85f7866225e
--- /dev/null
+++ b/results/train/hyperbola/problem_6326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cbec40b060afbfffa8de04d6bbb676c676d70a8310887b023c0a56082c923d0
+size 264870
diff --git a/results/train/hyperbola/problem_6327.png b/results/train/hyperbola/problem_6327.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ee2b199bb648d12eaf69cf517cae605a052196f
--- /dev/null
+++ b/results/train/hyperbola/problem_6327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f177d6cfca1ebe0a6c18f25360651374248792587775a405423c57375bac20d
+size 268142
diff --git a/results/train/hyperbola/problem_6333.png b/results/train/hyperbola/problem_6333.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5352095489c4ca79585698a77c597f1ac141e4b
--- /dev/null
+++ b/results/train/hyperbola/problem_6333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9438a446b531eb659126b541a4bfbd21218b52911f9c9f8c444fce2379e8ed7a
+size 255488
diff --git a/results/train/hyperbola/problem_6334.png b/results/train/hyperbola/problem_6334.png
new file mode 100644
index 0000000000000000000000000000000000000000..abf0389b057e030093365291383308c3bed90a68
--- /dev/null
+++ b/results/train/hyperbola/problem_6334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adee512cde8a35ce1d908f7958e5144df3cb3269b94065b052d06b544f3de8d0
+size 276089
diff --git a/results/train/hyperbola/problem_6338.png b/results/train/hyperbola/problem_6338.png
new file mode 100644
index 0000000000000000000000000000000000000000..31ec97b90212758c89560d650f40b13733a05c17
--- /dev/null
+++ b/results/train/hyperbola/problem_6338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e0b1b6667860a63f140d1770b4663134c90b18bf0eb1925babd2806ebb4efe8
+size 258235
diff --git a/results/train/hyperbola/problem_6339.png b/results/train/hyperbola/problem_6339.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca37bb4c4805d117039648382e761131a2a8d348
--- /dev/null
+++ b/results/train/hyperbola/problem_6339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50892a36d89cfcbddaf410a638b53023b2e562e24ed85a17895e4837fe0b58f5
+size 290934
diff --git a/results/train/hyperbola/problem_6340.png b/results/train/hyperbola/problem_6340.png
new file mode 100644
index 0000000000000000000000000000000000000000..01f8400f4f9b4b65b8a27130eaee2f3b782c8782
--- /dev/null
+++ b/results/train/hyperbola/problem_6340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bb9dd928582485906a3f877d8a034200f4334256b52289b25cc5d9e2c262812
+size 260283
diff --git a/results/train/hyperbola/problem_6343.png b/results/train/hyperbola/problem_6343.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a4746ab91583bd238d4827df0d99de966365ec4
--- /dev/null
+++ b/results/train/hyperbola/problem_6343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb916075c2bd45f8551e8f9863225ab450b718519632261755a6148858c6f705
+size 282421
diff --git a/results/train/hyperbola/problem_6344.png b/results/train/hyperbola/problem_6344.png
new file mode 100644
index 0000000000000000000000000000000000000000..79402714b87099d227af22868eb5bd263dfc663d
--- /dev/null
+++ b/results/train/hyperbola/problem_6344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f8acdd1082824deaaa0ccd5c5524be1f7ef725844b2dece21f62f127b3c94f9
+size 294247
diff --git a/results/train/hyperbola/problem_6345.png b/results/train/hyperbola/problem_6345.png
new file mode 100644
index 0000000000000000000000000000000000000000..7882e5efa253b50ea34445bf418d6de79c04d879
--- /dev/null
+++ b/results/train/hyperbola/problem_6345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22db70787a2af6a0f022d787127c96be9ef10c10088b1f2110b47238946e8993
+size 259890
diff --git a/results/train/hyperbola/problem_6347.png b/results/train/hyperbola/problem_6347.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e0fc91b926dd3a1af9d4e88753b38330801ec01
--- /dev/null
+++ b/results/train/hyperbola/problem_6347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27c527030ff86141d125b92198a00db5846d825d1627dc175da7d2033f13960a
+size 283222
diff --git a/results/train/hyperbola/problem_6348.png b/results/train/hyperbola/problem_6348.png
new file mode 100644
index 0000000000000000000000000000000000000000..927f6c58ec2496f1f8879bb349eb21512f91adbc
--- /dev/null
+++ b/results/train/hyperbola/problem_6348.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95deef38dfb940ca4beb5383b6aab8c7a699edada17712e5778e9b79354bec6a
+size 278450
diff --git a/results/train/hyperbola/problem_6349.png b/results/train/hyperbola/problem_6349.png
new file mode 100644
index 0000000000000000000000000000000000000000..a28df91ce2c5fb29a39b858e5410883327e0645a
--- /dev/null
+++ b/results/train/hyperbola/problem_6349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:995611a8c107c91e4acce359e14fe3e47ec1bf6f2c9f9012deafa9f14892ea23
+size 265615
diff --git a/results/train/hyperbola/problem_6356.png b/results/train/hyperbola/problem_6356.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d68e63cdbd47d81ca5447cf941b54c45ba4cb29
--- /dev/null
+++ b/results/train/hyperbola/problem_6356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4f15ece85b5de6c96a248381a85dab498f4b42c29d380f2af3597827325baa1
+size 252652
diff --git a/results/train/hyperbola/problem_6358.png b/results/train/hyperbola/problem_6358.png
new file mode 100644
index 0000000000000000000000000000000000000000..d374f919c98fec2ce9eb3aa4135d7e075c437547
--- /dev/null
+++ b/results/train/hyperbola/problem_6358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e5cf70941bb71d75609bab6e5c25f267855fa6a72f6d516e4f847d89b406aeb
+size 260319
diff --git a/results/train/hyperbola/problem_6365.png b/results/train/hyperbola/problem_6365.png
new file mode 100644
index 0000000000000000000000000000000000000000..82d514dc72a9e0e2c1298e3a8fce787a3696f225
--- /dev/null
+++ b/results/train/hyperbola/problem_6365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a540cc394d20b05dd01f85f2387d52d943395637b8386fb4a4302e6f2e477e35
+size 227647
diff --git a/results/train/hyperbola/problem_6368.png b/results/train/hyperbola/problem_6368.png
new file mode 100644
index 0000000000000000000000000000000000000000..6bb06d3468d735527b608a65d155db8abcfb7cc2
--- /dev/null
+++ b/results/train/hyperbola/problem_6368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9657002fc24911acf233938ad50c608e43fff45c0da7f0a0aa3abb72f60ed13f
+size 247024
diff --git a/results/train/hyperbola/problem_6371.png b/results/train/hyperbola/problem_6371.png
new file mode 100644
index 0000000000000000000000000000000000000000..f605fde52859a9372151d7cd2cc01b62f0fb1990
--- /dev/null
+++ b/results/train/hyperbola/problem_6371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53560057e59612e9087202e98eb5bbd4bdfaba0d42a9c222be330fc14a5571b5
+size 275958
diff --git a/results/train/hyperbola/problem_6372.png b/results/train/hyperbola/problem_6372.png
new file mode 100644
index 0000000000000000000000000000000000000000..616865f47a54f8ce978e393ef6720e511932950d
--- /dev/null
+++ b/results/train/hyperbola/problem_6372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24cb0a681ff12b5e4fa0709d105ce7e64686e12400a79acaf10fae27b19767d0
+size 271957
diff --git a/results/train/hyperbola/problem_6375.png b/results/train/hyperbola/problem_6375.png
new file mode 100644
index 0000000000000000000000000000000000000000..f23fcce0a7a380b6c220aa699845c780b7b92a2b
--- /dev/null
+++ b/results/train/hyperbola/problem_6375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ee91f4b9657bb12235e584e35312807ce17febb0f1007928d116ac569110c9
+size 256850
diff --git a/results/train/hyperbola/problem_6377.png b/results/train/hyperbola/problem_6377.png
new file mode 100644
index 0000000000000000000000000000000000000000..59946065f2ab87c1e94b665abad4c68f384b9a93
--- /dev/null
+++ b/results/train/hyperbola/problem_6377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:870bece6520c32aaa3d339369766112aae1456d281d64793a77ef236a8724c55
+size 242662
diff --git a/results/train/hyperbola/problem_6378.png b/results/train/hyperbola/problem_6378.png
new file mode 100644
index 0000000000000000000000000000000000000000..252b2f0ce2fc96c1504d8e1089d3b9e4922817ac
--- /dev/null
+++ b/results/train/hyperbola/problem_6378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07f40e7412b757df720dd707815c6788cee863f7794e85ba6242baa0b7c2982f
+size 252548
diff --git a/results/train/hyperbola/problem_6379.png b/results/train/hyperbola/problem_6379.png
new file mode 100644
index 0000000000000000000000000000000000000000..36442c8031af2397e8f76b6c687dcd9fd806298f
--- /dev/null
+++ b/results/train/hyperbola/problem_6379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f7e5e5df13b94cc4a7131c1b421fb514fad55bc286aa8b7f4a70f5f7090d94b
+size 276204
diff --git a/results/train/hyperbola/problem_6380.png b/results/train/hyperbola/problem_6380.png
new file mode 100644
index 0000000000000000000000000000000000000000..1cacf8bfe499ad866008bacf23438081c69125f8
--- /dev/null
+++ b/results/train/hyperbola/problem_6380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcd01fb11f7617493b91f8e9f575271fa4a03a4f14286f4c2ce7cfd0d4c15ab9
+size 266328
diff --git a/results/train/hyperbola/problem_6386.png b/results/train/hyperbola/problem_6386.png
new file mode 100644
index 0000000000000000000000000000000000000000..d89c6a0ecdbfed3fde0701362250a05d3357087b
--- /dev/null
+++ b/results/train/hyperbola/problem_6386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ace6156fd89b913c32fef5d1f7f93e7a1e156977340e40880eac2cf423e4675a
+size 251854
diff --git a/results/train/hyperbola/problem_6390.png b/results/train/hyperbola/problem_6390.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5f4247a58cdfbef007a2e60cb94eb2e1645b65e
--- /dev/null
+++ b/results/train/hyperbola/problem_6390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c89794deef675ace3f74aca1f6b0719cf2afc33449fe449bd8d88537bfb637bd
+size 265255
diff --git a/results/train/hyperbola/problem_6394.png b/results/train/hyperbola/problem_6394.png
new file mode 100644
index 0000000000000000000000000000000000000000..50d5d712bd29f8fe7493be62c0f631c433301c39
--- /dev/null
+++ b/results/train/hyperbola/problem_6394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58fa7451eb8b739b6773d015a034ff6ddc8e518a45bfcf1f11dceaf7b62cc26d
+size 265803
diff --git a/results/train/hyperbola/problem_6398.png b/results/train/hyperbola/problem_6398.png
new file mode 100644
index 0000000000000000000000000000000000000000..8730c54e692b7d32d7ebff23a1693314278c5f47
--- /dev/null
+++ b/results/train/hyperbola/problem_6398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f1b42209fd5c4bf0b602db974141036d88321433f2a21599addcbace848db0e
+size 269683
diff --git a/results/train/hyperbola/problem_6403.png b/results/train/hyperbola/problem_6403.png
new file mode 100644
index 0000000000000000000000000000000000000000..ead280c714241fa69d815db48d8de79c857e7b67
--- /dev/null
+++ b/results/train/hyperbola/problem_6403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd4a6604bd54d12eacfa2cba237ccf2ff5bac557ed86cb06a7dc0798be5481ea
+size 255531
diff --git a/results/train/hyperbola/problem_6404.png b/results/train/hyperbola/problem_6404.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf1b9f648edb6f6691ba995d1c37096d50bdf5d4
--- /dev/null
+++ b/results/train/hyperbola/problem_6404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96294fc3514d29ae054df497e05b36a4026ce639457b384df4f6dfacacefed49
+size 214316
diff --git a/results/train/hyperbola/problem_6419.png b/results/train/hyperbola/problem_6419.png
new file mode 100644
index 0000000000000000000000000000000000000000..4986b063784360924d924f99456840794b847cf3
--- /dev/null
+++ b/results/train/hyperbola/problem_6419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73f329f03fac2873bd9d4df52e55bd408383c508f236b8c4595308614a07c960
+size 269382
diff --git a/results/train/hyperbola/problem_6423.png b/results/train/hyperbola/problem_6423.png
new file mode 100644
index 0000000000000000000000000000000000000000..48cf49e9da20e4a518c9a2f9fc5992af28054634
--- /dev/null
+++ b/results/train/hyperbola/problem_6423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95d73c90780df3c7132f9a75098cbc62e27f3e650732c4407226f7e67c4ed38e
+size 266828
diff --git a/results/train/hyperbola/problem_6425.png b/results/train/hyperbola/problem_6425.png
new file mode 100644
index 0000000000000000000000000000000000000000..5364e234618a9d44cf2a202932ffbcd506f932e8
--- /dev/null
+++ b/results/train/hyperbola/problem_6425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78b34b998860cc98dab21571a72306806dadfb30cdc81e6a1d154e42093d5398
+size 264018
diff --git a/results/train/hyperbola/problem_6428.png b/results/train/hyperbola/problem_6428.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb12a4794f7c56eab27f4d5f78159f8bde43dbf3
--- /dev/null
+++ b/results/train/hyperbola/problem_6428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:147797cb23ee5944bc34f5e0f268433bd221e4146d942a667f77ea8132dedd02
+size 257584
diff --git a/results/train/hyperbola/problem_6443.png b/results/train/hyperbola/problem_6443.png
new file mode 100644
index 0000000000000000000000000000000000000000..04bb67c73ed18ee249327ae6e70eb99d789530e4
--- /dev/null
+++ b/results/train/hyperbola/problem_6443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba6376754a56275e1e956e8b60e748f2559a8349950a942c1d6aa26ce2eb19fe
+size 259217
diff --git a/results/train/hyperbola/problem_6444.png b/results/train/hyperbola/problem_6444.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc6e71615b77df2d1e879a39a3d7e34ff8000f1e
--- /dev/null
+++ b/results/train/hyperbola/problem_6444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:033b84258dc18f4c492e8092418e6582c9702bf246df62d1ea7a0c14f1afe518
+size 270564
diff --git a/results/train/hyperbola/problem_6446.png b/results/train/hyperbola/problem_6446.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a00814ad2d53ee232340e584d628229e491e3e2
--- /dev/null
+++ b/results/train/hyperbola/problem_6446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7dc07012c3c6134a2fc0ea3e3106eb31a43cc0dae40c8a870dd5cb70e6b9b15
+size 249390
diff --git a/results/train/hyperbola/problem_6448.png b/results/train/hyperbola/problem_6448.png
new file mode 100644
index 0000000000000000000000000000000000000000..38acd5c35c6d13738c97b0e6fa564bf8bdb44fe4
--- /dev/null
+++ b/results/train/hyperbola/problem_6448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c1d0186a31efd2a1cfa0e3d976b38a466210a97ffa3fe32111bf8a3eea7b630
+size 240295
diff --git a/results/train/hyperbola/problem_6449.png b/results/train/hyperbola/problem_6449.png
new file mode 100644
index 0000000000000000000000000000000000000000..40cddadb077e12f36fe784e4c0422707bb2482d4
--- /dev/null
+++ b/results/train/hyperbola/problem_6449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edeac81d76d845482b6a3a59c294e3bd88d8b1bca0f79abea676fbe83adb6e15
+size 281557
diff --git a/results/train/hyperbola/problem_6454.png b/results/train/hyperbola/problem_6454.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e963d10412ddfea944c0ed605a527bba76b2835
--- /dev/null
+++ b/results/train/hyperbola/problem_6454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a1caaac36d61d0f8fe2c2c70d5b4c8e4bcc0ab66242f3782648100a6825d67f
+size 240165
diff --git a/results/train/hyperbola/problem_6456.png b/results/train/hyperbola/problem_6456.png
new file mode 100644
index 0000000000000000000000000000000000000000..b18fa7f1aa18ebf0e347179f24c44140cfceb30f
--- /dev/null
+++ b/results/train/hyperbola/problem_6456.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e533cd08e76d06c3882cfe0e20797e4233ba164d928f8c3e0afd2ddc2ff9f8c4
+size 270036
diff --git a/results/train/hyperbola/problem_6457.png b/results/train/hyperbola/problem_6457.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d159f654e27e671ff880abb6333a44ec116b963
--- /dev/null
+++ b/results/train/hyperbola/problem_6457.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aeede3153d72f828c3206e83a02abd2dfd729f85260c137a8b186fbb42ec6f56
+size 268880
diff --git a/results/train/hyperbola/problem_6460.png b/results/train/hyperbola/problem_6460.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c0b4cf93b46fdcb8ab8fa0a197d3b2d9df4ca19
--- /dev/null
+++ b/results/train/hyperbola/problem_6460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d25e3a174b6b7c1a6b1247f6835f6838809dd70fa281ee924136143403299355
+size 263544
diff --git a/results/train/hyperbola/problem_6466.png b/results/train/hyperbola/problem_6466.png
new file mode 100644
index 0000000000000000000000000000000000000000..5395728346c00ade6557a7495d42aceefea6ee9a
--- /dev/null
+++ b/results/train/hyperbola/problem_6466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8eb33eedb871faba2473c1da9012da1d71205107b594270b3a49036fd43fec9d
+size 264261
diff --git a/results/train/hyperbola/problem_6470.png b/results/train/hyperbola/problem_6470.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1a939521d5665440df3b8c910583d9c0d8bb7b4
--- /dev/null
+++ b/results/train/hyperbola/problem_6470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8d76114d209d402a08f2bb998abaa2cdfa16cd5d6b148fae8cc79ff6f81049f
+size 279112
diff --git a/results/train/hyperbola/problem_6482.png b/results/train/hyperbola/problem_6482.png
new file mode 100644
index 0000000000000000000000000000000000000000..79e7eb14d82c8804ac98f9b434c42458d16c91ec
--- /dev/null
+++ b/results/train/hyperbola/problem_6482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62dda5c6477dbb03d14158ce95f44ad24e8bfb4cef358cb6f12996822503b5cb
+size 261569
diff --git a/results/train/hyperbola/problem_6485.png b/results/train/hyperbola/problem_6485.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d51a821c0fdee24412272cb1552e799e39c4090
--- /dev/null
+++ b/results/train/hyperbola/problem_6485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b86c2c31180f6ede3934570db77b8a910cc6c8e03a6b3337e76eb624265f9a63
+size 266896
diff --git a/results/train/hyperbola/problem_6493.png b/results/train/hyperbola/problem_6493.png
new file mode 100644
index 0000000000000000000000000000000000000000..d229e5054a0161eb56218608bb90785aab793559
--- /dev/null
+++ b/results/train/hyperbola/problem_6493.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:199671953ae9bc4069175134720eabbee0e6524b3b1807402333682e572c97b8
+size 264256
diff --git a/results/train/hyperbola/problem_6503.png b/results/train/hyperbola/problem_6503.png
new file mode 100644
index 0000000000000000000000000000000000000000..58e22530c548b552d327560bf118db15795f2f0d
--- /dev/null
+++ b/results/train/hyperbola/problem_6503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59428f22817515f346980bc485af40a01519f37ac67cf49ac313d9c213f7391f
+size 252712
diff --git a/results/train/hyperbola/problem_6505.png b/results/train/hyperbola/problem_6505.png
new file mode 100644
index 0000000000000000000000000000000000000000..9465f888653d9cc30e52cf58e929179bf3423094
--- /dev/null
+++ b/results/train/hyperbola/problem_6505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f06aa8d2c24dcea42e2ea5b4222a57832039a8576413aae8b1c630f54877b14
+size 275847
diff --git a/results/train/hyperbola/problem_6506.png b/results/train/hyperbola/problem_6506.png
new file mode 100644
index 0000000000000000000000000000000000000000..12c90d9b1e26b835170adf9030d8464a47061107
--- /dev/null
+++ b/results/train/hyperbola/problem_6506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23d70b95b37408791284db2a6777a39dfe2632502f2b6faede39e53f81e1d026
+size 274044
diff --git a/results/train/hyperbola/problem_6508.png b/results/train/hyperbola/problem_6508.png
new file mode 100644
index 0000000000000000000000000000000000000000..48f3da1a4b1a9b9097efe6293c949e393e52548b
--- /dev/null
+++ b/results/train/hyperbola/problem_6508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:937960780f556f190802acb7d4dc65ab0c824a1f9a4429d14ca3ddd2011bcfaf
+size 254954
diff --git a/results/train/hyperbola/problem_6510.png b/results/train/hyperbola/problem_6510.png
new file mode 100644
index 0000000000000000000000000000000000000000..2400370501d1b35894961a4fb714801bccec370c
--- /dev/null
+++ b/results/train/hyperbola/problem_6510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5983e118cd6029b6241c8622969e65ea53f73072d05036cf8fdf65a48871fd8
+size 262144
diff --git a/results/train/hyperbola/problem_6515.png b/results/train/hyperbola/problem_6515.png
new file mode 100644
index 0000000000000000000000000000000000000000..7507ee5f58ea9adaaafb616017ac3dcfb360bc4c
--- /dev/null
+++ b/results/train/hyperbola/problem_6515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a35df3ce9b90d20273d98f1a46fe5f674013bb8d323172794e8afb1318c3591f
+size 261180
diff --git a/results/train/hyperbola/problem_6519.png b/results/train/hyperbola/problem_6519.png
new file mode 100644
index 0000000000000000000000000000000000000000..92d0a8fe7b1c8b90825d755034d34705d0a4907e
--- /dev/null
+++ b/results/train/hyperbola/problem_6519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc2b6176890095344ee9e69e0e7c88a47e86b76202838e37c010a07a9f33f08f
+size 270296
diff --git a/results/train/hyperbola/problem_6521.png b/results/train/hyperbola/problem_6521.png
new file mode 100644
index 0000000000000000000000000000000000000000..a03d5ca46c7580533642002445f6a55e0624debd
--- /dev/null
+++ b/results/train/hyperbola/problem_6521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03c66870c58147121d917a3e1bba848aa01ad60452660170fef598ff9ca90127
+size 239430
diff --git a/results/train/hyperbola/problem_6523.png b/results/train/hyperbola/problem_6523.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d73255df94dc811a36abfc1c3be46f766b88481
--- /dev/null
+++ b/results/train/hyperbola/problem_6523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:097f19d81c35b1e019b0eecbe16014179773bdb0bf472c7033a0211f4f461d1a
+size 268528
diff --git a/results/train/hyperbola/problem_6524.png b/results/train/hyperbola/problem_6524.png
new file mode 100644
index 0000000000000000000000000000000000000000..090e0b2fec11280d412af25a0d1802df6cad4047
--- /dev/null
+++ b/results/train/hyperbola/problem_6524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65783f1971386079370467fd1b609ede9649ac726d01012fe378061ee8e453b2
+size 274281
diff --git a/results/train/hyperbola/problem_6528.png b/results/train/hyperbola/problem_6528.png
new file mode 100644
index 0000000000000000000000000000000000000000..a011fc59dd9e51b4c84968cb4ec9e8908d0bc6dd
--- /dev/null
+++ b/results/train/hyperbola/problem_6528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:650cbc8d3b2de0a7964c2f236318a4f21a9cb6c164e2e8e1c87fef1503a7fe7e
+size 261735
diff --git a/results/train/hyperbola/problem_6529.png b/results/train/hyperbola/problem_6529.png
new file mode 100644
index 0000000000000000000000000000000000000000..08e4106a75051bfd6b926f3e55f385a06e198202
--- /dev/null
+++ b/results/train/hyperbola/problem_6529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:893765f8e0da1859861746ba6d7fb05c723f54cec39ac95b5a5c410ac2c2800b
+size 273104
diff --git a/results/train/hyperbola/problem_6533.png b/results/train/hyperbola/problem_6533.png
new file mode 100644
index 0000000000000000000000000000000000000000..96130bab7b25a13523d26302237b9702fff460ca
--- /dev/null
+++ b/results/train/hyperbola/problem_6533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a74b098eba0cfa251f10be1688345973c3f69833351b8c356f083dac2fa71ebd
+size 245521
diff --git a/results/train/hyperbola/problem_6539.png b/results/train/hyperbola/problem_6539.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3fb6a94635ea25860510cb57af91e3a0a4bbdad
--- /dev/null
+++ b/results/train/hyperbola/problem_6539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fabe52c86ca43bbf5df3d4c72d19b13597268e6512f7da27dd85db3c1738530
+size 264447
diff --git a/results/train/hyperbola/problem_6541.png b/results/train/hyperbola/problem_6541.png
new file mode 100644
index 0000000000000000000000000000000000000000..450e74b4abbd649486e904d889f68f4db9f66e05
--- /dev/null
+++ b/results/train/hyperbola/problem_6541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d8d814c211796065ef4dcf8e2dbcc7b0612f5878a27e0fafb5446e99407c17d
+size 271284
diff --git a/results/train/hyperbola/problem_6542.png b/results/train/hyperbola/problem_6542.png
new file mode 100644
index 0000000000000000000000000000000000000000..da2baaab18003d3f41c5bebe26848d735b8d965e
--- /dev/null
+++ b/results/train/hyperbola/problem_6542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06e9dc170ff2667b3f04de693a311de13b187a83cab8f5653cd4a3a6adcb5251
+size 268168
diff --git a/results/train/hyperbola/problem_6549.png b/results/train/hyperbola/problem_6549.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1e8ab7c6f04495c59708f98a4fdea06db49ab2b
--- /dev/null
+++ b/results/train/hyperbola/problem_6549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32f0523811e7205aa9682a850d02f288dd10d761686de9bcad40e05ba27fc478
+size 290368
diff --git a/results/train/hyperbola/problem_6552.png b/results/train/hyperbola/problem_6552.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f948e6007fb64ca38f8c7b3bb16ab0c57a9068d
--- /dev/null
+++ b/results/train/hyperbola/problem_6552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd790a15fd2e1226b1c261278a1f637bbe88af27087535f91510ee42044776d3
+size 263330
diff --git a/results/train/hyperbola/problem_6554.png b/results/train/hyperbola/problem_6554.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb7dce98cb6ce183818c0838f4fae859fc56ef9d
--- /dev/null
+++ b/results/train/hyperbola/problem_6554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f09e87a99f1df27f12eec36c6b350877e5cd39f41d3fb2a88213736b177f81ba
+size 250493
diff --git a/results/train/hyperbola/problem_6559.png b/results/train/hyperbola/problem_6559.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebed07bd76d6260ddb6cff023ec3686ca0e21fd3
--- /dev/null
+++ b/results/train/hyperbola/problem_6559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51c3c7c5e6a81fbe3d6c5823bc6a4af2d973fc61f3c9dcecf5c2bdb82223296a
+size 224244
diff --git a/results/train/hyperbola/problem_6564.png b/results/train/hyperbola/problem_6564.png
new file mode 100644
index 0000000000000000000000000000000000000000..92acc45c5e707426b0ec85a12db78a42bb21692f
--- /dev/null
+++ b/results/train/hyperbola/problem_6564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80299bbc449ccee68f84062a6498577091ec4c14475fe268f47d69bceba1393f
+size 269343
diff --git a/results/train/hyperbola/problem_6567.png b/results/train/hyperbola/problem_6567.png
new file mode 100644
index 0000000000000000000000000000000000000000..63c67d93a3749aabc4a5a50cbcbe43d46a36e38d
--- /dev/null
+++ b/results/train/hyperbola/problem_6567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d60a4d44dc5a3857a48486d3e1d7a428ac0af23ffdaa802319dc1821700edba2
+size 269528
diff --git a/results/train/hyperbola/problem_6573.png b/results/train/hyperbola/problem_6573.png
new file mode 100644
index 0000000000000000000000000000000000000000..43ea704a1bef994432169fb878023d3a3f48f998
--- /dev/null
+++ b/results/train/hyperbola/problem_6573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12276c4d5841d974eb0ddf94eefcf02377231b165c28171f84acfe7917d0e64a
+size 274055
diff --git a/results/train/hyperbola/problem_6582.png b/results/train/hyperbola/problem_6582.png
new file mode 100644
index 0000000000000000000000000000000000000000..522bea576a1a9085ed0769d7488836a243fecb70
--- /dev/null
+++ b/results/train/hyperbola/problem_6582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e2842d3c90ae6a55c8084166bfa3f469d35a3a5e8511a3c30fb1dc08212ddda
+size 261753
diff --git a/results/train/hyperbola/problem_6583.png b/results/train/hyperbola/problem_6583.png
new file mode 100644
index 0000000000000000000000000000000000000000..11f9b657dd320d04dc7242abd5e4dae4efbe37c9
--- /dev/null
+++ b/results/train/hyperbola/problem_6583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f72aeed02499b3de4a439d5b54f5bffb672975bfcedc1738e9f9497212da9c75
+size 250651
diff --git a/results/train/hyperbola/problem_6589.png b/results/train/hyperbola/problem_6589.png
new file mode 100644
index 0000000000000000000000000000000000000000..a09d743119727c217bdd269f6b00c3c79c6c4188
--- /dev/null
+++ b/results/train/hyperbola/problem_6589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58b094407cc119db0f3bcfbb4d093f616e363edd6bc5e4de66b9dd866d9e4b4e
+size 338951
diff --git a/results/train/hyperbola/problem_6591.png b/results/train/hyperbola/problem_6591.png
new file mode 100644
index 0000000000000000000000000000000000000000..944acd96451e1d84ef1e4e6cc40deb29a8f53a9d
--- /dev/null
+++ b/results/train/hyperbola/problem_6591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e23aa2583b606ef1eb74b308237244cad51c725757b226a007cf430945bcdf0
+size 267927
diff --git a/results/train/hyperbola/problem_6594.png b/results/train/hyperbola/problem_6594.png
new file mode 100644
index 0000000000000000000000000000000000000000..d789983dba503ffe522e2abf22b88fb206b8c9fa
--- /dev/null
+++ b/results/train/hyperbola/problem_6594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65d0246f62307393ac11bc135e491190dbf2d6570b2596adc7d657508445c47c
+size 269878
diff --git a/results/train/hyperbola/problem_6595.png b/results/train/hyperbola/problem_6595.png
new file mode 100644
index 0000000000000000000000000000000000000000..8065ea30e9535a14f42b5dab3ff65aa3a02fefaa
--- /dev/null
+++ b/results/train/hyperbola/problem_6595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8600077325c4c07e3b9f7c93b628e5173915c011906521ec553f3cbce6178ace
+size 271693
diff --git a/results/train/hyperbola/problem_6597.png b/results/train/hyperbola/problem_6597.png
new file mode 100644
index 0000000000000000000000000000000000000000..a62e9989cb7312159b2f9b4bc0b3ba3e76fc71c6
--- /dev/null
+++ b/results/train/hyperbola/problem_6597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fc8a6113dbc2d37d365f3f9a54571c1c24cf47e0bd35ef21eb705815a8f696c
+size 268167
diff --git a/results/train/hyperbola/problem_6600.png b/results/train/hyperbola/problem_6600.png
new file mode 100644
index 0000000000000000000000000000000000000000..c39ce8a225b5cc1a54f0d1f5d657b1ea84007dab
--- /dev/null
+++ b/results/train/hyperbola/problem_6600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be023b29b05863bfb25536f716eb60ff95d317a6a6fda14b944c46a67313807f
+size 281872
diff --git a/results/train/hyperbola/problem_6607.png b/results/train/hyperbola/problem_6607.png
new file mode 100644
index 0000000000000000000000000000000000000000..b98105d138a9865c5e075b203fdc6018e8829c93
--- /dev/null
+++ b/results/train/hyperbola/problem_6607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73c6ee96f37b017084069ac9ce8fd3f5381ebef2afe835c1ca42b75670fb587a
+size 258387
diff --git a/results/train/hyperbola/problem_6610.png b/results/train/hyperbola/problem_6610.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6ae62b004007a956861747bdf66272526bb41dc
--- /dev/null
+++ b/results/train/hyperbola/problem_6610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe004274295d2105b413ce46127b5ae0646783a36c4e7a2488e5179019781cf6
+size 257529
diff --git a/results/train/hyperbola/problem_6613.png b/results/train/hyperbola/problem_6613.png
new file mode 100644
index 0000000000000000000000000000000000000000..235911b396c300bf7f7e96285703d4d67fce1dcc
--- /dev/null
+++ b/results/train/hyperbola/problem_6613.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:562bd912d0f433660cebdd50c08c30e93b4ac2c42de9b9cd1b946e342451e3af
+size 249854
diff --git a/results/train/hyperbola/problem_6615.png b/results/train/hyperbola/problem_6615.png
new file mode 100644
index 0000000000000000000000000000000000000000..259f93c2c0904d6712c55e62b916ab2e9274e225
--- /dev/null
+++ b/results/train/hyperbola/problem_6615.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfcadd4356528765df44253bdc43a4508550dc4716d17399a6aeed98627a5aba
+size 259185
diff --git a/results/train/hyperbola/problem_6618.png b/results/train/hyperbola/problem_6618.png
new file mode 100644
index 0000000000000000000000000000000000000000..82e835d76b7f8fddbecb26b22e7bfada2be83630
--- /dev/null
+++ b/results/train/hyperbola/problem_6618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bbe161ad6b50f55f080de2e4bebdf24c2380a6eeef47dc6eeb07fb25dcf161e
+size 270483
diff --git a/results/train/hyperbola/problem_6619.png b/results/train/hyperbola/problem_6619.png
new file mode 100644
index 0000000000000000000000000000000000000000..5deccb841f520901c76a102a0ca5d26a91ce6ca4
--- /dev/null
+++ b/results/train/hyperbola/problem_6619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8aa2118b9a68d021a27a2407964bfba21f64ac33193b7a1f67b30afdfe0a7194
+size 257472
diff --git a/results/train/hyperbola/problem_6622.png b/results/train/hyperbola/problem_6622.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f58f432850792f7ff0c28eb4c20e97dd03573df
--- /dev/null
+++ b/results/train/hyperbola/problem_6622.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1eabbbc0bc32238e1103cd353ecee662a4bf3f8ac8bbd864ac47bc7790e2d472
+size 305058
diff --git a/results/train/hyperbola/problem_6631.png b/results/train/hyperbola/problem_6631.png
new file mode 100644
index 0000000000000000000000000000000000000000..4da5376dedf8993e0cb91c7e5dc77b2ee0d3a639
--- /dev/null
+++ b/results/train/hyperbola/problem_6631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33a50ac855f2e5ab8eac1cbaa278e14f4a5387c24b3f3537f2eb9bf32b266ec6
+size 242456
diff --git a/results/train/hyperbola/problem_6638.png b/results/train/hyperbola/problem_6638.png
new file mode 100644
index 0000000000000000000000000000000000000000..70fd31d9c1e510dce58c7f6d15cac8ae63e219f1
--- /dev/null
+++ b/results/train/hyperbola/problem_6638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d5e5d2402cbda38e344efa358cd6a017dfd2a0b9d208ec830a7fda815bacd8a
+size 262344
diff --git a/results/train/hyperbola/problem_6642.png b/results/train/hyperbola/problem_6642.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e0ebdd92034e755eb02ebdf58158717c14b92cc
--- /dev/null
+++ b/results/train/hyperbola/problem_6642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d13f1cf9cd57b5d6bb41fe57947a2873f7ea573975f7dd16d7623751660a1d9
+size 266996
diff --git a/results/train/hyperbola/problem_6644.png b/results/train/hyperbola/problem_6644.png
new file mode 100644
index 0000000000000000000000000000000000000000..434d61be5f93ea252d21bca968118ba0ce150c2b
--- /dev/null
+++ b/results/train/hyperbola/problem_6644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:145ad6d77e79a02b84fa5f56ae841807df16f5c6f58e16267f4f4279144019be
+size 244522
diff --git a/results/train/hyperbola/problem_6645.png b/results/train/hyperbola/problem_6645.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b53c4027f9b16c02bcbe778eb59eeed0cdea80c
--- /dev/null
+++ b/results/train/hyperbola/problem_6645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23b325f2766f932d04ac164bfcde05116362c1bdf9bd7f887bc1c39873ef21a6
+size 272846
diff --git a/results/train/hyperbola/problem_6646.png b/results/train/hyperbola/problem_6646.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7e77ebde3bc4273884607ffc9edd5e3eff2c399
--- /dev/null
+++ b/results/train/hyperbola/problem_6646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:439e8a3310385eaf7882a2a24b807d207ce7cc1a470e5951967c3d8030f2aa7d
+size 268485
diff --git a/results/train/hyperbola/problem_6647.png b/results/train/hyperbola/problem_6647.png
new file mode 100644
index 0000000000000000000000000000000000000000..cdf109e9182ba6e50abd47a646939f571e07f50f
--- /dev/null
+++ b/results/train/hyperbola/problem_6647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4275f4ca1df62fdd5c2a6275056dbd6178396590330fc888893f3436be40a746
+size 265492
diff --git a/results/train/hyperbola/problem_6649.png b/results/train/hyperbola/problem_6649.png
new file mode 100644
index 0000000000000000000000000000000000000000..b60e528ef2d98305c5a9df8c5883fecfd84aeaa9
--- /dev/null
+++ b/results/train/hyperbola/problem_6649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51742eee8a8065c5e8c34f67f435dd527a740178798cf522fd280f0c26562036
+size 245027
diff --git a/results/train/hyperbola/problem_6652.png b/results/train/hyperbola/problem_6652.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ab28640c562374157d2dbfc3cc359f215c48d4b
--- /dev/null
+++ b/results/train/hyperbola/problem_6652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb30291d8d0d70cc2267d024889f8ac453f62e4093faa7131c20c0befdaca3e1
+size 269676
diff --git a/results/train/hyperbola/problem_6655.png b/results/train/hyperbola/problem_6655.png
new file mode 100644
index 0000000000000000000000000000000000000000..a57244352bc27dc46466c3d715cb5596c20695cd
--- /dev/null
+++ b/results/train/hyperbola/problem_6655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b15920307ee44678cd372723e8a9f3e4812ca420cdf57f05c1053c78d936a34a
+size 272319
diff --git a/results/train/hyperbola/problem_6659.png b/results/train/hyperbola/problem_6659.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6283c7ea386e03ebb30efd4e9b42fb1b7583876
--- /dev/null
+++ b/results/train/hyperbola/problem_6659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae8d1d0c2e7a454028bb206e35b8c0b620f18dd45fb4d0e0e8e114cf70575a76
+size 272971
diff --git a/results/train/hyperbola/problem_6664.png b/results/train/hyperbola/problem_6664.png
new file mode 100644
index 0000000000000000000000000000000000000000..92464b33637e16c5b36497b916bf9bc982e79c13
--- /dev/null
+++ b/results/train/hyperbola/problem_6664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b7b7cf050a83ea242f63b074da8d6a3b637e0238366924910d61b6b4972f03d
+size 277777
diff --git a/results/train/hyperbola/problem_6665.png b/results/train/hyperbola/problem_6665.png
new file mode 100644
index 0000000000000000000000000000000000000000..f40d956c3121750c379937776ea004c6ae268488
--- /dev/null
+++ b/results/train/hyperbola/problem_6665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2603595394497faeeaae1cc1ec51e332a3194752b3202b66f27320a21b86b70
+size 256932
diff --git a/results/train/hyperbola/problem_6669.png b/results/train/hyperbola/problem_6669.png
new file mode 100644
index 0000000000000000000000000000000000000000..058548be8b10945472ab1d49dcda5bb9ae8aa673
--- /dev/null
+++ b/results/train/hyperbola/problem_6669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21ff0190fe8236ec51b10b34a483eb57a9b25b9313aa8a366a817533347138dd
+size 257904
diff --git a/results/train/hyperbola/problem_6670.png b/results/train/hyperbola/problem_6670.png
new file mode 100644
index 0000000000000000000000000000000000000000..db952ec3935b9591510a0eca4618f700d06c5909
--- /dev/null
+++ b/results/train/hyperbola/problem_6670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfe46aeb4dcd5dc7092ed54f399d9e975233a98a898733aa2a9bf5557b5cc492
+size 261150
diff --git a/results/train/hyperbola/problem_6677.png b/results/train/hyperbola/problem_6677.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba9d244d759c01612f7bd6c8eaee08412a3b1378
--- /dev/null
+++ b/results/train/hyperbola/problem_6677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26bdc9fbe72b43974abc4443721146e8c127f70d08288b1bb414b6739b5a5c91
+size 267206
diff --git a/results/train/hyperbola/problem_6679.png b/results/train/hyperbola/problem_6679.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb4683afe1e2042c1889938a63428b7709c32c1d
--- /dev/null
+++ b/results/train/hyperbola/problem_6679.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b08d4c1bf34fb2a1658f68613c53dbebb39b2e394c031ba9e780fc7652290ca
+size 314861
diff --git a/results/train/hyperbola/problem_6681.png b/results/train/hyperbola/problem_6681.png
new file mode 100644
index 0000000000000000000000000000000000000000..cda90aa6064c377a43acfb3a24a85deba940c3e5
--- /dev/null
+++ b/results/train/hyperbola/problem_6681.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9eb9d923dc2d1116aa64876734698494c611a16ae37ae54a3202e79a9bc7d61
+size 278503
diff --git a/results/train/hyperbola/problem_6684.png b/results/train/hyperbola/problem_6684.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2ab99599012a3bfe3a8a318cc44d4617d84d622
--- /dev/null
+++ b/results/train/hyperbola/problem_6684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ebb6765b1d8ed7527f8e45b0493603ec1ae49b62d65f2c331a74571f8106639d
+size 263150
diff --git a/results/train/hyperbola/problem_6686.png b/results/train/hyperbola/problem_6686.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6356cdac25f40c9f30204d1921516f0ee85b98d
--- /dev/null
+++ b/results/train/hyperbola/problem_6686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb1f2785e7f2d8b198d555e0b2b6e5b68109c16ce11f28e3796deb1189a01f89
+size 262050
diff --git a/results/train/hyperbola/problem_6691.png b/results/train/hyperbola/problem_6691.png
new file mode 100644
index 0000000000000000000000000000000000000000..80a12233bebe0eadd1f9a4423a398544420d1eb8
--- /dev/null
+++ b/results/train/hyperbola/problem_6691.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5083842ff11eb1337b509e6f2bc15e5dd4afc3821902babc8c32902ce39ecc72
+size 248967
diff --git a/results/train/hyperbola/problem_6695.png b/results/train/hyperbola/problem_6695.png
new file mode 100644
index 0000000000000000000000000000000000000000..5101a7d81229156483e275656481f52c82eedf35
--- /dev/null
+++ b/results/train/hyperbola/problem_6695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7cfbe2594a446e24a8ac71ffe848b83875f8e4a92a1830235a879bafa2d83e1
+size 263790
diff --git a/results/train/hyperbola/problem_6704.png b/results/train/hyperbola/problem_6704.png
new file mode 100644
index 0000000000000000000000000000000000000000..3479f5d31fe0fd600a65d2921dd645949a70d396
--- /dev/null
+++ b/results/train/hyperbola/problem_6704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75475246eff0710332d03479e29e05fd821c2785ba8a49152d1ca22fc056f886
+size 252528
diff --git a/results/train/hyperbola/problem_6705.png b/results/train/hyperbola/problem_6705.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d17a049d1eb27a3b3c5831a9f4913c8258a1b33
--- /dev/null
+++ b/results/train/hyperbola/problem_6705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3a56ef3e73befc6bba67b9b7688f1b13b73913ed360d47ad724dc35713152fe
+size 273406
diff --git a/results/train/hyperbola/problem_6713.png b/results/train/hyperbola/problem_6713.png
new file mode 100644
index 0000000000000000000000000000000000000000..a246a4d26286f434f99da333b413d8186181d787
--- /dev/null
+++ b/results/train/hyperbola/problem_6713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0365709e3e8de7742a1fb9c0a0efd8bfcb05d329753a38cdf8988d45d9d635c
+size 265096
diff --git a/results/train/hyperbola/problem_6720.png b/results/train/hyperbola/problem_6720.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad822e2136e27b6ddebc16c67bf646adb92c6197
--- /dev/null
+++ b/results/train/hyperbola/problem_6720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94e9f0e7aab21f46cd4879d011cb010fd3a6a479ce411fb932e5da5238456a4d
+size 250218
diff --git a/results/train/hyperbola/problem_6729.png b/results/train/hyperbola/problem_6729.png
new file mode 100644
index 0000000000000000000000000000000000000000..79c0aa33ca9c0205716922b815f64062bff5dc3e
--- /dev/null
+++ b/results/train/hyperbola/problem_6729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d5ee862011ba09e2f2c45197fa062a997429fb4b490ae78d7e0d5a0e143303
+size 242317
diff --git a/results/train/hyperbola/problem_6732.png b/results/train/hyperbola/problem_6732.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8db04c13fcc4535baff750549a853c39cc42f4b
--- /dev/null
+++ b/results/train/hyperbola/problem_6732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f983cc5b07aa4ad85ecda02fe258bb222def790fcadb0a751e9938d531b5375
+size 258273
diff --git a/results/train/hyperbola/problem_6735.png b/results/train/hyperbola/problem_6735.png
new file mode 100644
index 0000000000000000000000000000000000000000..66c3b4a90a077623ac74ea2423369cbd20839995
--- /dev/null
+++ b/results/train/hyperbola/problem_6735.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90f55158e51620ca5fb68e9876047aeb08785eb72fbfd5e67b8aaced5cc0bebf
+size 272003
diff --git a/results/train/hyperbola/problem_6746.png b/results/train/hyperbola/problem_6746.png
new file mode 100644
index 0000000000000000000000000000000000000000..776a663d7c8520917ab0ec9a2ece23b2f1c761fb
--- /dev/null
+++ b/results/train/hyperbola/problem_6746.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97247cea3c75b34ad78a610829d8c0b950febca34fc3965a1d6c13f838b92aeb
+size 273991
diff --git a/results/train/hyperbola/problem_6749.png b/results/train/hyperbola/problem_6749.png
new file mode 100644
index 0000000000000000000000000000000000000000..25f95423a38a48a0ecd9279d7c9f77d06e089523
--- /dev/null
+++ b/results/train/hyperbola/problem_6749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e054e7a7b4db99c9a7a7fba28c393653db4300eef659ac73a11c690eb1c5eca
+size 246641
diff --git a/results/train/hyperbola/problem_6765.png b/results/train/hyperbola/problem_6765.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ac000dec6757a5e57e2476706f6cb0b65cf894f
--- /dev/null
+++ b/results/train/hyperbola/problem_6765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2303e2c871e94b43603a331a0aca40b24dc846fbcfe2c38958f206a84c6ac6e
+size 260376
diff --git a/results/train/hyperbola/problem_6767.png b/results/train/hyperbola/problem_6767.png
new file mode 100644
index 0000000000000000000000000000000000000000..150cafa70394400e514b49607909fc84ead2562f
--- /dev/null
+++ b/results/train/hyperbola/problem_6767.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10fd47130e9b3c4cfd01b6b7e7e315255bd89c6b68f408111e2e54d9f73551a7
+size 261668
diff --git a/results/train/hyperbola/problem_6771.png b/results/train/hyperbola/problem_6771.png
new file mode 100644
index 0000000000000000000000000000000000000000..d782a996da623d9d9bb4304642a3459ae32ff03b
--- /dev/null
+++ b/results/train/hyperbola/problem_6771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ceb008efd462278169d944d6776c3536da4ef57bbf05933f0d763af4b86ac37b
+size 255512
diff --git a/results/train/hyperbola/problem_6775.png b/results/train/hyperbola/problem_6775.png
new file mode 100644
index 0000000000000000000000000000000000000000..9db1cae46ea11e839c16e9f4706e184837f05e82
--- /dev/null
+++ b/results/train/hyperbola/problem_6775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac941a3ac223f3a5102b3777d25dd60d7eb6de6e2d4049b1b11533aae5135ae5
+size 267391
diff --git a/results/train/hyperbola/problem_6783.png b/results/train/hyperbola/problem_6783.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cac37a69b5fcae397043067c6d2ae405fc1f114
--- /dev/null
+++ b/results/train/hyperbola/problem_6783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6fe580da8382c4f542bbb53cb679b47238bf3fd54de404d0177143a3f3d679f
+size 294758
diff --git a/results/train/hyperbola/problem_6793.png b/results/train/hyperbola/problem_6793.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddd26b13c17ae903e002981f7fdaa27c2a963bd5
--- /dev/null
+++ b/results/train/hyperbola/problem_6793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9523af2e9990f7274ba784b28255d1553abda56b48668ceaaee0aa8589bdd15c
+size 255185
diff --git a/results/train/hyperbola/problem_6794.png b/results/train/hyperbola/problem_6794.png
new file mode 100644
index 0000000000000000000000000000000000000000..15779482c3cfbd22106e1717a55a924d24e1190e
--- /dev/null
+++ b/results/train/hyperbola/problem_6794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d93ddb1df9abef23df99b780086557a33082e7599f6eba2423fea7d1d472a9d8
+size 265655
diff --git a/results/train/hyperbola/problem_6797.png b/results/train/hyperbola/problem_6797.png
new file mode 100644
index 0000000000000000000000000000000000000000..9149d40af848315736e1e2e25bb27a4faf567aad
--- /dev/null
+++ b/results/train/hyperbola/problem_6797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c427edf588bdd64550b2a30df7fb712681b6e0d5a24c8d83784b8144a13eeefe
+size 258489
diff --git a/results/train/hyperbola/problem_6801.png b/results/train/hyperbola/problem_6801.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7bfa9fff65bf2bf8c25152ef186379a847af5da
--- /dev/null
+++ b/results/train/hyperbola/problem_6801.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b10aaebf6d7fac48c62d29b709ae1fbde42f53beab3bc9e7bae00f4e1d43ac06
+size 269180
diff --git a/results/train/hyperbola/problem_6806.png b/results/train/hyperbola/problem_6806.png
new file mode 100644
index 0000000000000000000000000000000000000000..32f6e3297e05223ee1b40b2c4594284d257d42f1
--- /dev/null
+++ b/results/train/hyperbola/problem_6806.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72c8d3b41c5a0012d994a07a41224fc55668910ecf69037d5bbce22303d1dc03
+size 276696
diff --git a/results/train/hyperbola/problem_6808.png b/results/train/hyperbola/problem_6808.png
new file mode 100644
index 0000000000000000000000000000000000000000..9acece773ef4ca28ece4438ac3bf23336a448dd5
--- /dev/null
+++ b/results/train/hyperbola/problem_6808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92feb941fb8e6a2c9593aa9be190b17fcae7266ffa77f99c2c9a0a38d68f294a
+size 260031
diff --git a/results/train/hyperbola/problem_6809.png b/results/train/hyperbola/problem_6809.png
new file mode 100644
index 0000000000000000000000000000000000000000..c930be6493f2bd83944deacf5d14c43ad0539c8f
--- /dev/null
+++ b/results/train/hyperbola/problem_6809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2002197e39cf528951582b155670a8c42451fc07c6f4dfabd9022cf4f5d028fa
+size 267290
diff --git a/results/train/hyperbola/problem_6813.png b/results/train/hyperbola/problem_6813.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca2c4cdd7cac7d250105d853245bde2138894f71
--- /dev/null
+++ b/results/train/hyperbola/problem_6813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:934c07da59e55dc3b912bcb1d4e394a7876292b0e21a1d921a70c06ba15b7895
+size 273369
diff --git a/results/train/hyperbola/problem_6816.png b/results/train/hyperbola/problem_6816.png
new file mode 100644
index 0000000000000000000000000000000000000000..89587a84ee6b5855698de23c265f039ad6f42188
--- /dev/null
+++ b/results/train/hyperbola/problem_6816.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb15c14a3e719e827bdcc0144e4154ccb655bfe79574eb17cdc8375c07b2d818
+size 263623
diff --git a/results/train/hyperbola/problem_6817.png b/results/train/hyperbola/problem_6817.png
new file mode 100644
index 0000000000000000000000000000000000000000..94d8fb6f76a13c1857b7017de4dbdd9bacdee946
--- /dev/null
+++ b/results/train/hyperbola/problem_6817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3576195a0261525ad32d0e02f562dc873157869daceb3abf73c6ac21aa5d8182
+size 220242
diff --git a/results/train/hyperbola/problem_6823.png b/results/train/hyperbola/problem_6823.png
new file mode 100644
index 0000000000000000000000000000000000000000..111b24e10e8c49f515203238f9ab3dcb141418ad
--- /dev/null
+++ b/results/train/hyperbola/problem_6823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52d5e38034b136307fd6eb82703f9af19bbe9de6d09ffe520be284d79429d2ad
+size 256868
diff --git a/results/train/hyperbola/problem_6828.png b/results/train/hyperbola/problem_6828.png
new file mode 100644
index 0000000000000000000000000000000000000000..682f0ca8e9bf65e25ee3ab7506a67f4fdd81640f
--- /dev/null
+++ b/results/train/hyperbola/problem_6828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8bea5fcc0bfb1d7df05ba80935ae6fd1075af87beceb625b47963892fa6e99e
+size 245778
diff --git a/results/train/hyperbola/problem_6829.png b/results/train/hyperbola/problem_6829.png
new file mode 100644
index 0000000000000000000000000000000000000000..98f2cd2adeea7653f1bd07d1f1a6b6b332932eb7
--- /dev/null
+++ b/results/train/hyperbola/problem_6829.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2768fa830d3034924ef186f5100cbcb691ef071c77f4a6815cc1c6af80a0d6f
+size 280635
diff --git a/results/train/hyperbola/problem_6830.png b/results/train/hyperbola/problem_6830.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc5babd8371af28538b8defb50e128383fa78b46
--- /dev/null
+++ b/results/train/hyperbola/problem_6830.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9fdcd2b71fe4daf96f1cc4e0346868f8e1f23c0874b1ef6f5c7935574d3902c
+size 264610
diff --git a/results/train/hyperbola/problem_6833.png b/results/train/hyperbola/problem_6833.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecb66e328c48df15ca59389f918b7b67929a2248
--- /dev/null
+++ b/results/train/hyperbola/problem_6833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:762ff4dbf978776d5237f141e2107ff80bd239f6f0cd02eb5c9359c5fc6f41c7
+size 271222
diff --git a/results/train/hyperbola/problem_6837.png b/results/train/hyperbola/problem_6837.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a609bf1609e593e87b40f5fbee1086095702353
--- /dev/null
+++ b/results/train/hyperbola/problem_6837.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aaf5211f792aa731e4fa3460d3ed8ba1bbf9b04ee1c9803d60413fa46a4006a8
+size 238378
diff --git a/results/train/hyperbola/problem_6838.png b/results/train/hyperbola/problem_6838.png
new file mode 100644
index 0000000000000000000000000000000000000000..003db1c38dfd27cae3977208d3e257725aa78aca
--- /dev/null
+++ b/results/train/hyperbola/problem_6838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fead39880c6b259912ddc9ed1da05591d9d4e670653c3cf750b94c8d38c9d981
+size 258468
diff --git a/results/train/hyperbola/problem_6840.png b/results/train/hyperbola/problem_6840.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea1c818b857e586dbad173f9009d72422f07a012
--- /dev/null
+++ b/results/train/hyperbola/problem_6840.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b2131358c87e185159ee627044a6a0963699f7df6eb229b2d6266e4eb1f0f3a
+size 270487
diff --git a/results/train/hyperbola/problem_6846.png b/results/train/hyperbola/problem_6846.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6dc1ca6dd84ca29aa7dce2c9c644db03fce6143
--- /dev/null
+++ b/results/train/hyperbola/problem_6846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5d1c7fa51eebb0401c563e02747b78721fac87a0bfd3e9540b6418f7b816bd1
+size 271044
diff --git a/results/train/hyperbola/problem_6851.png b/results/train/hyperbola/problem_6851.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fbe29cd22bfe73cd73c1d7e1be548b55a4cf990
--- /dev/null
+++ b/results/train/hyperbola/problem_6851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cac8875d1ccca4f364f45fce664fd67b1e1fde2b7cb39aec1fa9ad30a984cb5d
+size 272889
diff --git a/results/train/hyperbola/problem_6853.png b/results/train/hyperbola/problem_6853.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7926246121933859f52f44b0188539a159a765f
--- /dev/null
+++ b/results/train/hyperbola/problem_6853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:912d1dee5bb749df21cabb475a57d66f2abf770dde180b97be72a11facb80fcf
+size 274781
diff --git a/results/train/hyperbola/problem_6854.png b/results/train/hyperbola/problem_6854.png
new file mode 100644
index 0000000000000000000000000000000000000000..28d0aa7ef728c4016ba51829b58b5d77b2ae515e
--- /dev/null
+++ b/results/train/hyperbola/problem_6854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cb272819033c958a6b510163357bd46bfd7c404d71b7ac3de61e4832fade085
+size 255508
diff --git a/results/train/hyperbola/problem_6862.png b/results/train/hyperbola/problem_6862.png
new file mode 100644
index 0000000000000000000000000000000000000000..460124b8bc918c0229b3d4bebf07f1f7a54346e4
--- /dev/null
+++ b/results/train/hyperbola/problem_6862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a71d8e58c9bbc5fd3e4be372e6c763cd30220500b370ad006f8b6736479b5cc7
+size 270775
diff --git a/results/train/hyperbola/problem_6864.png b/results/train/hyperbola/problem_6864.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e437406750d4aecd4a278d013889c056a930921
--- /dev/null
+++ b/results/train/hyperbola/problem_6864.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac5cff53ddd1efe2541986b53409ba5fa55bad46e57aa32236ca3bab6e922573
+size 235111
diff --git a/results/train/hyperbola/problem_6865.png b/results/train/hyperbola/problem_6865.png
new file mode 100644
index 0000000000000000000000000000000000000000..66389e3f0f589f7ffe4c5d4e808c817c9b3c2657
--- /dev/null
+++ b/results/train/hyperbola/problem_6865.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4006367e6cbbc2a8acc72709257d6f88751344bb612766165f15236f04f19e65
+size 266718
diff --git a/results/train/hyperbola/problem_6866.png b/results/train/hyperbola/problem_6866.png
new file mode 100644
index 0000000000000000000000000000000000000000..8096dec558495eb337277931033a4f7741310edc
--- /dev/null
+++ b/results/train/hyperbola/problem_6866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11fbb273c59d8d769bc2a81038d399eb4bb948ddaa54964ec5e07737e9e35af1
+size 254487
diff --git a/results/train/hyperbola/problem_6869.png b/results/train/hyperbola/problem_6869.png
new file mode 100644
index 0000000000000000000000000000000000000000..3263841bcb0657a7bcfd8fa6307319f9eaaa44b2
--- /dev/null
+++ b/results/train/hyperbola/problem_6869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a34a8e277fd0f42bf6ff3f8ad6b28dc27340074ede8bae5db0a5dccdba5070bc
+size 268313
diff --git a/results/train/hyperbola/problem_6871.png b/results/train/hyperbola/problem_6871.png
new file mode 100644
index 0000000000000000000000000000000000000000..d788af87118bf41faf31dcd1ae48422057256aed
--- /dev/null
+++ b/results/train/hyperbola/problem_6871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d9c8c72da6719e86eb3cfd9b42d0728a2a035299183c546279c80fbbe249ff5
+size 275733
diff --git a/results/train/hyperbola/problem_6873.png b/results/train/hyperbola/problem_6873.png
new file mode 100644
index 0000000000000000000000000000000000000000..0762dcd5c98603b549c09996761ef77b83de81be
--- /dev/null
+++ b/results/train/hyperbola/problem_6873.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9317f2a3eae4790ba483f1102798372f8ed7224190b6c9686f14ddc51e77c05
+size 266462
diff --git a/results/train/hyperbola/problem_6885.png b/results/train/hyperbola/problem_6885.png
new file mode 100644
index 0000000000000000000000000000000000000000..053149f2d19358dba7aa578b85f9e4e2be2157e0
--- /dev/null
+++ b/results/train/hyperbola/problem_6885.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad116bc416c2ef5486dca8906d1a02024622af507a789a32b589091efc131a3c
+size 245554
diff --git a/results/train/hyperbola/problem_6889.png b/results/train/hyperbola/problem_6889.png
new file mode 100644
index 0000000000000000000000000000000000000000..46fe8ba71d009dd769fb276f07c7a1ade5a486bf
--- /dev/null
+++ b/results/train/hyperbola/problem_6889.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc6c13a94ceb2ffc0f12bb976e032979fc616201e86f10ed35e0054b98476c0b
+size 281700
diff --git a/results/train/hyperbola/problem_6891.png b/results/train/hyperbola/problem_6891.png
new file mode 100644
index 0000000000000000000000000000000000000000..093f73600fa2bdb1a7c766a0e3c1643e4805c2de
--- /dev/null
+++ b/results/train/hyperbola/problem_6891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b977ee5981d2c720c9d715895998a6d02fea8010ff74d9381e257f22d705d632
+size 273232
diff --git a/results/train/hyperbola/problem_6898.png b/results/train/hyperbola/problem_6898.png
new file mode 100644
index 0000000000000000000000000000000000000000..b682aef3d369cd99042c8469805abb072165049c
--- /dev/null
+++ b/results/train/hyperbola/problem_6898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e20924b716a694b24bd989aea23b1d6659b0f2e61b89dfaa08bd040b30c25ea9
+size 265326
diff --git a/results/train/hyperbola/problem_6899.png b/results/train/hyperbola/problem_6899.png
new file mode 100644
index 0000000000000000000000000000000000000000..91f4e41b002639017867e75929f499d3c6f006d4
--- /dev/null
+++ b/results/train/hyperbola/problem_6899.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53e8fd9b5590ccdcce4e3620c22c5874e6c60116da8d4dadc35e9838f505be10
+size 265360
diff --git a/results/train/hyperbola/problem_6904.png b/results/train/hyperbola/problem_6904.png
new file mode 100644
index 0000000000000000000000000000000000000000..b79ddf6324aa9f17b8f40668c206b5e890eadefc
--- /dev/null
+++ b/results/train/hyperbola/problem_6904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6829e88b60da4c2a79a808d10effd7e8bbbbaa11fb7d423594b11b20d75493ac
+size 262507
diff --git a/results/train/hyperbola/problem_6908.png b/results/train/hyperbola/problem_6908.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ebc3568ee8a0d6462c833f875898917fcac25c6
--- /dev/null
+++ b/results/train/hyperbola/problem_6908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61fbd116787035e2d9bf5795d13f3b74197129c1f9d39b8b843d97d57172a1d4
+size 264645
diff --git a/results/train/hyperbola/problem_6917.png b/results/train/hyperbola/problem_6917.png
new file mode 100644
index 0000000000000000000000000000000000000000..6112d64a0eedc1e8bff14322191fcc5cba79af35
--- /dev/null
+++ b/results/train/hyperbola/problem_6917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b40c08c8806a039af319ba146b1aa2527f9c941afb0e6d1c48d4ced9dc8095f
+size 266174
diff --git a/results/train/hyperbola/problem_6922.png b/results/train/hyperbola/problem_6922.png
new file mode 100644
index 0000000000000000000000000000000000000000..29279405825c5c91076bb4cf76b698c8535f7978
--- /dev/null
+++ b/results/train/hyperbola/problem_6922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11deb828c1482b3640c41be63847464f6515a74825ee8993b278752ac0fb4541
+size 260682
diff --git a/results/train/hyperbola/problem_6924.png b/results/train/hyperbola/problem_6924.png
new file mode 100644
index 0000000000000000000000000000000000000000..3371d252996f00d21f754b6bf0aa35a52368043b
--- /dev/null
+++ b/results/train/hyperbola/problem_6924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b16843b9a49783e7e58b8095ae6b6a20beff4deac2ae1fe88537404f0e3df974
+size 270729
diff --git a/results/train/hyperbola/problem_6926.png b/results/train/hyperbola/problem_6926.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0709fec42731e72265f239ac96b5e5af9a8e8bb
--- /dev/null
+++ b/results/train/hyperbola/problem_6926.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcfd40ab0cc8e79a82156243c43d6503e2d04a2e3b7d7d2854735ebe79e48aa4
+size 274584
diff --git a/results/train/hyperbola/problem_6927.png b/results/train/hyperbola/problem_6927.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b0c1e58fff2205215ace1da65a8947e36ab2a88
--- /dev/null
+++ b/results/train/hyperbola/problem_6927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4dd86609757dfea875368f2ce381287d808d2591ddfc02093237e0cd65ef4fcf
+size 257318
diff --git a/results/train/hyperbola/problem_6928.png b/results/train/hyperbola/problem_6928.png
new file mode 100644
index 0000000000000000000000000000000000000000..c823ada53c6956c76c1e466ea84a33280bf3bb77
--- /dev/null
+++ b/results/train/hyperbola/problem_6928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:668887a5789b067846aa06eaa8b8f548b2ccbbba752f8d7f5596f7361e2322d2
+size 260034
diff --git a/results/train/hyperbola/problem_6936.png b/results/train/hyperbola/problem_6936.png
new file mode 100644
index 0000000000000000000000000000000000000000..500379376911c52d8d7becd02f2a050cefe6f635
--- /dev/null
+++ b/results/train/hyperbola/problem_6936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b56851600e8b11ea4cb7b9b35cfcd234f5a31c940518c1da6a9c3b6a786328a7
+size 244369
diff --git a/results/train/hyperbola/problem_6939.png b/results/train/hyperbola/problem_6939.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b65d2ede2941ec268f3546c7ac9810ccf1b4b7e
--- /dev/null
+++ b/results/train/hyperbola/problem_6939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce80c3396303f21709daa98d2ab6fb81399acb6dd15ea76564ce1422b8dcc0b3
+size 260666
diff --git a/results/train/hyperbola/problem_6941.png b/results/train/hyperbola/problem_6941.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cd6753f91c785737a937ca6f09d8763550cd9b1
--- /dev/null
+++ b/results/train/hyperbola/problem_6941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99983b0f1378c4255c714f7b3dbf2eb2e14a8e33eb3d5ddeceefe13f17f39bb7
+size 259343
diff --git a/results/train/hyperbola/problem_6946.png b/results/train/hyperbola/problem_6946.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f672e791871843543722505abccd45f82060ad1
--- /dev/null
+++ b/results/train/hyperbola/problem_6946.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59a9e6109e6b6e604dfaaaf894f2bd6654d53102c130b09bddbfcf225a2e123f
+size 284219
diff --git a/results/train/hyperbola/problem_6949.png b/results/train/hyperbola/problem_6949.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce8a6b66cb9c876931caa868a42ad2baf5b2c7e3
--- /dev/null
+++ b/results/train/hyperbola/problem_6949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd17fef356153f7f86f6fd01de504a31e9aab9fb588218c91cb4eb6ba5bf48bf
+size 270701
diff --git a/results/train/hyperbola/problem_6964.png b/results/train/hyperbola/problem_6964.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a4f7a8474906cb7c820daed79eacdd2f8a8c18d
--- /dev/null
+++ b/results/train/hyperbola/problem_6964.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4aee72354f499eda3993152a44ead4c5677487a18162542b254087a4d163dd6
+size 274339
diff --git a/results/train/hyperbola/problem_6965.png b/results/train/hyperbola/problem_6965.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd7b89f0ad92138cbd16caef5eb1c63362d429bd
--- /dev/null
+++ b/results/train/hyperbola/problem_6965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:495d0f0d1d2667b8804f14c30cebf46cd1227aed0c4c987f8b2a72cbad16c896
+size 261052
diff --git a/results/train/hyperbola/problem_6969.png b/results/train/hyperbola/problem_6969.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b7a64fe2327276c38242f908ec66d343fa3386b
--- /dev/null
+++ b/results/train/hyperbola/problem_6969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f52b04c77c99bcbbe5d9ac23a6b1acf17fbf746f7c56688920d07ff47de518e5
+size 254716
diff --git a/results/train/hyperbola/problem_6970.png b/results/train/hyperbola/problem_6970.png
new file mode 100644
index 0000000000000000000000000000000000000000..58f4d40f3168be1142d978ee5019678756dbb1b8
--- /dev/null
+++ b/results/train/hyperbola/problem_6970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36cc03493c91e55f3a8c211d5950e7f9a647ef8ae88a58c7c65f5ee48ba2e806
+size 269023
diff --git a/results/train/hyperbola/problem_6972.png b/results/train/hyperbola/problem_6972.png
new file mode 100644
index 0000000000000000000000000000000000000000..180f42db963963dffae2ebbe5cddcc0e4eec3d42
--- /dev/null
+++ b/results/train/hyperbola/problem_6972.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bad162f58300db2ca50b9b2535735ace3200687f9defffe28f16cf46baae67fb
+size 263300
diff --git a/results/train/hyperbola/problem_6979.png b/results/train/hyperbola/problem_6979.png
new file mode 100644
index 0000000000000000000000000000000000000000..d60e9db767b4cdfdb2701127afc1ca290d4f93ed
--- /dev/null
+++ b/results/train/hyperbola/problem_6979.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32af5a8b932cede9b5e849000efecddb5072231abee88912e142f8a48cdcf29c
+size 261084
diff --git a/results/train/hyperbola/problem_6986.png b/results/train/hyperbola/problem_6986.png
new file mode 100644
index 0000000000000000000000000000000000000000..0548641814973c51de3ddf71571c25d4f440f7a0
--- /dev/null
+++ b/results/train/hyperbola/problem_6986.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31e9d2d89373d1e0b9cdfd845789cb465f0f0a170dcf22f5d235d621b8550b0e
+size 268038
diff --git a/results/train/hyperbola/problem_6989.png b/results/train/hyperbola/problem_6989.png
new file mode 100644
index 0000000000000000000000000000000000000000..72d03cf54fde8302bc5106c5f0f506176671df26
--- /dev/null
+++ b/results/train/hyperbola/problem_6989.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd31c73cf5967fbabca1805aa08fb95fcf09c904b9cfa5a57529fe8a02d910aa
+size 266637
diff --git a/results/train/hyperbola/problem_6990.png b/results/train/hyperbola/problem_6990.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ddfcac6df66db91d72c4cd7444ca43da2f30acb
--- /dev/null
+++ b/results/train/hyperbola/problem_6990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:610072ed122fdc25d119257d30c654d31295eeba06309eb699a8bdbda74a6d2d
+size 261772
diff --git a/results/train/hyperbola/problem_6991.png b/results/train/hyperbola/problem_6991.png
new file mode 100644
index 0000000000000000000000000000000000000000..62e6689c2e5f67b7375de71c421f7aff935562b9
--- /dev/null
+++ b/results/train/hyperbola/problem_6991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0031b6bb442bec317dd5937756c3ace432a133e0aeedf9fc567ad847a13437b0
+size 272409
diff --git a/results/train/hyperbola/problem_7001.png b/results/train/hyperbola/problem_7001.png
new file mode 100644
index 0000000000000000000000000000000000000000..4babda5c29d9c4ed3b0078d5d6a8ad2d1741b7d2
--- /dev/null
+++ b/results/train/hyperbola/problem_7001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:baf6b9c51e3cb71162b6c1ddc7d186c22b0e9c43585a4e131dc4030056c39167
+size 272956
diff --git a/results/train/hyperbola/problem_7003.png b/results/train/hyperbola/problem_7003.png
new file mode 100644
index 0000000000000000000000000000000000000000..4856a5264a8cee8c621982cd3eeedcefb735aa71
--- /dev/null
+++ b/results/train/hyperbola/problem_7003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9479e436a55d8ff2d413ebb021acab92ba37b39a2e65ac282e17ed4cf9c4fd60
+size 259567
diff --git a/results/train/hyperbola/problem_7015.png b/results/train/hyperbola/problem_7015.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c9134ab23f804072b0634a42563287edd877302
--- /dev/null
+++ b/results/train/hyperbola/problem_7015.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a81112330bc297ca0b78584511d479351358b35e2b2bcfdc20e06a44f0cd001d
+size 267934
diff --git a/results/train/hyperbola/problem_7017.png b/results/train/hyperbola/problem_7017.png
new file mode 100644
index 0000000000000000000000000000000000000000..163ca75a06b59dca7c91b005bbbf86fe711f7e55
--- /dev/null
+++ b/results/train/hyperbola/problem_7017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c176b6fe00ce520c8f4d671dd62ccca20992429c6adefa38db2961282114f5e
+size 243269
diff --git a/results/train/hyperbola/problem_7021.png b/results/train/hyperbola/problem_7021.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb6a8cbbdcb06cf4f2d7edafbd89a758aeff5435
--- /dev/null
+++ b/results/train/hyperbola/problem_7021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8a4a894ab3af8251b79e3122e7bc452b52b918184c80b900cf3ef3f39cad4c2
+size 264330
diff --git a/results/train/hyperbola/problem_7026.png b/results/train/hyperbola/problem_7026.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cb443b17cad15ec1ea5ad16b85573658e612006
--- /dev/null
+++ b/results/train/hyperbola/problem_7026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efd80c4628e8b8b3bff0d8407457557475db2e77b5625a200e46a8ee7dc1bcab
+size 274333
diff --git a/results/train/hyperbola/problem_7028.png b/results/train/hyperbola/problem_7028.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3d7291897ac12ada58f7b4986f818220054ab5a
--- /dev/null
+++ b/results/train/hyperbola/problem_7028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb0a531d2b5575ddaa66b007ea3db41664ddea23fc60ca7920bcbd7cce06c1ea
+size 272739
diff --git a/results/train/hyperbola/problem_7029.png b/results/train/hyperbola/problem_7029.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c95dd7b8b20429db217752210257dad9c23b145
--- /dev/null
+++ b/results/train/hyperbola/problem_7029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55c81a5de8d038bcdd6120e8d84ad4e3a4aa8f6e4499373d679563b1011b25c8
+size 237286
diff --git a/results/train/hyperbola/problem_7036.png b/results/train/hyperbola/problem_7036.png
new file mode 100644
index 0000000000000000000000000000000000000000..4004503759641f1badfef2df1ba93afdb1521832
--- /dev/null
+++ b/results/train/hyperbola/problem_7036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da994e4ed8436b1efd8905719a7c0542ed18f76fd4acb7f39b590635d2dfb9ce
+size 243908
diff --git a/results/train/hyperbola/problem_7041.png b/results/train/hyperbola/problem_7041.png
new file mode 100644
index 0000000000000000000000000000000000000000..d96fb3c57262063a5e04074e8c19634029b4e8b7
--- /dev/null
+++ b/results/train/hyperbola/problem_7041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0ead34dfffe3a75904217cdcbe3d34c76a97aa28539603ec036dc7586677cc8
+size 254686
diff --git a/results/train/hyperbola/problem_7043.png b/results/train/hyperbola/problem_7043.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d3b638d1b92c8b899c391e38f808605b4353206
--- /dev/null
+++ b/results/train/hyperbola/problem_7043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30e753173f01b57bc0c9de3dd0f44342225888cd6ad7d0cf791902ce787dd822
+size 250987
diff --git a/results/train/hyperbola/problem_7045.png b/results/train/hyperbola/problem_7045.png
new file mode 100644
index 0000000000000000000000000000000000000000..967dd33bddc4e656e86e54ebb30f90bca3a6c549
--- /dev/null
+++ b/results/train/hyperbola/problem_7045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48657f40fb8a1d3825cc9687fe603af4244d5a595bcf1dd4ce31ca4c08f45808
+size 263899
diff --git a/results/train/hyperbola/problem_7046.png b/results/train/hyperbola/problem_7046.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a81940242013250093c22c2ba32a8bde746e463
--- /dev/null
+++ b/results/train/hyperbola/problem_7046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ab330724d1ec1a56e207bed86d12bbf3f076077e8c28d0d984fc390e3f1b983
+size 266354
diff --git a/results/train/hyperbola/problem_7052.png b/results/train/hyperbola/problem_7052.png
new file mode 100644
index 0000000000000000000000000000000000000000..efc7c5f0ed517d0b0f64c339cfea88be5a5982db
--- /dev/null
+++ b/results/train/hyperbola/problem_7052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe5ea58f510463756514f8feb62822b3b6fddd8e32b5cdb8c962e3596bfaa925
+size 265530
diff --git a/results/train/hyperbola/problem_7053.png b/results/train/hyperbola/problem_7053.png
new file mode 100644
index 0000000000000000000000000000000000000000..da65d59338e04b3dc4f56653e1cbb053a64da4de
--- /dev/null
+++ b/results/train/hyperbola/problem_7053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ab997638460f748386ef2445b33992323b8919992e4ef9a627f469b936a983c
+size 235108
diff --git a/results/train/hyperbola/problem_7055.png b/results/train/hyperbola/problem_7055.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdaccb407fff05378fdf6cdb9e18322ad0d822c4
--- /dev/null
+++ b/results/train/hyperbola/problem_7055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0d8778bfabc0a2072054aceb73de30b7ef50a0abda76ee71262d29af8874719
+size 241807
diff --git a/results/train/hyperbola/problem_7062.png b/results/train/hyperbola/problem_7062.png
new file mode 100644
index 0000000000000000000000000000000000000000..478a8516c9bdf2662cac4c768b8f8d69ef4c7839
--- /dev/null
+++ b/results/train/hyperbola/problem_7062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33ce1829e03f28b3b5c5721d02ab60005283a37d03dc8eaee7a535160c5b4ead
+size 266883
diff --git a/results/train/hyperbola/problem_7067.png b/results/train/hyperbola/problem_7067.png
new file mode 100644
index 0000000000000000000000000000000000000000..28b31c981ce8fbf3f16f277051ce9dc7673be62d
--- /dev/null
+++ b/results/train/hyperbola/problem_7067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bde829a2d9082cb6a3583b642817757558b5ba4ad5ce9b968e13650bda997be
+size 243629
diff --git a/results/train/hyperbola/problem_7068.png b/results/train/hyperbola/problem_7068.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b9e5394b505d6e9bf79910d5baf3c08cad5a9bc
--- /dev/null
+++ b/results/train/hyperbola/problem_7068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:275e5a9a5b239a45c045532e35556e777ab779215e1670c72ee3a8167fabd6c5
+size 268959
diff --git a/results/train/hyperbola/problem_7075.png b/results/train/hyperbola/problem_7075.png
new file mode 100644
index 0000000000000000000000000000000000000000..62bcc3c57c530e29621e8644769e4bd9ed25cff6
--- /dev/null
+++ b/results/train/hyperbola/problem_7075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d529bca8ae5ae83e1fc8a23fcec69b898818b58d33f84d94ecb4fb611b60d1f1
+size 270267
diff --git a/results/train/hyperbola/problem_7076.png b/results/train/hyperbola/problem_7076.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc560a53abb8596a3d333d73ba059a1ea7262c89
--- /dev/null
+++ b/results/train/hyperbola/problem_7076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c45689024383a656bb0ccdc55c53cf0659b13ec94ac3b40a31922ad47c47dcc2
+size 272799
diff --git a/results/train/hyperbola/problem_7077.png b/results/train/hyperbola/problem_7077.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c1610934800d02932da5e4b971880f3ce397e68
--- /dev/null
+++ b/results/train/hyperbola/problem_7077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9099743310160301f5f05d05db517bafefe5694bddce425d7754457ac98a11b
+size 267375
diff --git a/results/train/hyperbola/problem_7079.png b/results/train/hyperbola/problem_7079.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ab9045f09dd294581c415c644c7578795193ca7
--- /dev/null
+++ b/results/train/hyperbola/problem_7079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22a16977927d989285fa1e457bc008eaac8c8eceb59c09859c0e6d269807a73d
+size 229953
diff --git a/results/train/hyperbola/problem_7081.png b/results/train/hyperbola/problem_7081.png
new file mode 100644
index 0000000000000000000000000000000000000000..761f0b1092df909493ee878baf659e8fe769b375
--- /dev/null
+++ b/results/train/hyperbola/problem_7081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3f66ecc87fbec4e2b33d41056e3be9be4922aaa355f30a29151fcba749ee6fc
+size 268752
diff --git a/results/train/hyperbola/problem_7085.png b/results/train/hyperbola/problem_7085.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fbd09a75d1b0f888df977db6ebbd0d9eef2b3c9
--- /dev/null
+++ b/results/train/hyperbola/problem_7085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b885f4eee09a680c53d477c22afbcf0511cd32d8a423720f7b2a8585b4d4e65f
+size 267953
diff --git a/results/train/hyperbola/problem_7088.png b/results/train/hyperbola/problem_7088.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ce882324bf5082661ed2991ef2c8e334c168cd6
--- /dev/null
+++ b/results/train/hyperbola/problem_7088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:490913e2440aff9ac40570016eeed58b8be3fcb9b5e680b11457a03fca3d4aea
+size 260714
diff --git a/results/train/hyperbola/problem_7089.png b/results/train/hyperbola/problem_7089.png
new file mode 100644
index 0000000000000000000000000000000000000000..06911901969ec08c55185134e0fc79aa0001f855
--- /dev/null
+++ b/results/train/hyperbola/problem_7089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1bddba52892d2746ea22b445cfc4a533003a5d7de35b2c00da23429e80f0da2
+size 263613
diff --git a/results/train/hyperbola/problem_7095.png b/results/train/hyperbola/problem_7095.png
new file mode 100644
index 0000000000000000000000000000000000000000..badbe88f81f04155dad5f43133b5f2a5d14139ad
--- /dev/null
+++ b/results/train/hyperbola/problem_7095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:219227ae9788998908c8961c82b5ef4ded60b6a60a4b0ad044b86044cd688173
+size 271870
diff --git a/results/train/hyperbola/problem_7098.png b/results/train/hyperbola/problem_7098.png
new file mode 100644
index 0000000000000000000000000000000000000000..251e7a50ceebc69575fc58dbb83da75e0f32a8ac
--- /dev/null
+++ b/results/train/hyperbola/problem_7098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ca9b661de08b00212a4f9768748f1409a3b98ff8f8565a063d3ddd7ae1a8bd7
+size 279505
diff --git a/results/train/hyperbola/problem_7100.png b/results/train/hyperbola/problem_7100.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea4a8fbfc6344ce04563f1a924d82b2e6f8a17f0
--- /dev/null
+++ b/results/train/hyperbola/problem_7100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b74c9ebbc69e7dfcb1f9028c5fbd8c006574fec2048993ef2843ace77e071aa0
+size 255111
diff --git a/results/train/hyperbola/problem_7101.png b/results/train/hyperbola/problem_7101.png
new file mode 100644
index 0000000000000000000000000000000000000000..9629ef732a77cc2fd741bcda96d701a5ac650865
--- /dev/null
+++ b/results/train/hyperbola/problem_7101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb7c26091f19df581849d7c62a057009d7147c7397e8dda067f6c62ed08cee0a
+size 215446
diff --git a/results/train/hyperbola/problem_7106.png b/results/train/hyperbola/problem_7106.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac600a8648c7d39703cabec27905c76c8ba1253a
--- /dev/null
+++ b/results/train/hyperbola/problem_7106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea5e32bff256c2823e305731d6d54ad7bc2a17dd195501e19f21da8727acb615
+size 267630
diff --git a/results/train/hyperbola/problem_7108.png b/results/train/hyperbola/problem_7108.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4d756dc2a43ca9c85d559ed5e7ab8417d64d552
--- /dev/null
+++ b/results/train/hyperbola/problem_7108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:784c51192d63dd9aeca0c6a13c9cec4eda7e89839339377ad83c6937008f5a04
+size 227749
diff --git a/results/train/hyperbola/problem_7110.png b/results/train/hyperbola/problem_7110.png
new file mode 100644
index 0000000000000000000000000000000000000000..58b291d66b94a18f3248ba676705d6097e24abbb
--- /dev/null
+++ b/results/train/hyperbola/problem_7110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2e747677ba146ca1edfeb3babde1b5252ae4be44256e3ae24adc8ff73dc72f9
+size 264976
diff --git a/results/train/hyperbola/problem_7113.png b/results/train/hyperbola/problem_7113.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cfec1a1cc24a7fa10795b47d2bc482043625bb9
--- /dev/null
+++ b/results/train/hyperbola/problem_7113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d862e99acf71639c595d031786f118147d80b39e2e2247db25932c3abe5025fd
+size 260809
diff --git a/results/train/hyperbola/problem_7119.png b/results/train/hyperbola/problem_7119.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f96ba8ab14d3271007ec04af69ffe2584e73eee
--- /dev/null
+++ b/results/train/hyperbola/problem_7119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:241d7afcd64aa29c56fb22b04cc868f56c284acbc8ded66980ade0e0c1173ca3
+size 268491
diff --git a/results/train/hyperbola/problem_7120.png b/results/train/hyperbola/problem_7120.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9b23b9484d5cdca86439a599101cdd4a7eeb4d9
--- /dev/null
+++ b/results/train/hyperbola/problem_7120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38179e7ccc93ab1c52ce810b45c274ef6948ea59196040a9da702214ff1f297d
+size 262387
diff --git a/results/train/hyperbola/problem_7122.png b/results/train/hyperbola/problem_7122.png
new file mode 100644
index 0000000000000000000000000000000000000000..e381ace07b4405a4c40557952f46106a272c4f15
--- /dev/null
+++ b/results/train/hyperbola/problem_7122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e24e5918c23d19963b5e8fe8d5cf2bdb43d9723052a691e12616d74d23df893
+size 266537
diff --git a/results/train/hyperbola/problem_7125.png b/results/train/hyperbola/problem_7125.png
new file mode 100644
index 0000000000000000000000000000000000000000..38f3c5bbfc5a749b1d91498073bdd03f96f85f3e
--- /dev/null
+++ b/results/train/hyperbola/problem_7125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dabd2b6780548d22d608956f57657aa83a830db6d695c22aecbd08c6ca7a3cf3
+size 255886
diff --git a/results/train/hyperbola/problem_7128.png b/results/train/hyperbola/problem_7128.png
new file mode 100644
index 0000000000000000000000000000000000000000..31c70bb81e6aeb9557f7e4cdb5825b417f3e536d
--- /dev/null
+++ b/results/train/hyperbola/problem_7128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8aa6fc7a6aa979906beab68ff38536a1ef4f6523630865d59d9f3f04a4f702c9
+size 270361
diff --git a/results/train/hyperbola/problem_7134.png b/results/train/hyperbola/problem_7134.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4619c5bca38acc95b08ae8afd48c1448c1bcd1c
--- /dev/null
+++ b/results/train/hyperbola/problem_7134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77961a4676fdfccea3777edd6a9dfe5854eb64faf895003a0f897d05e3c8d98a
+size 291793
diff --git a/results/train/hyperbola/problem_7136.png b/results/train/hyperbola/problem_7136.png
new file mode 100644
index 0000000000000000000000000000000000000000..c514f59efd2af651a4c0bf1900e6b6a809522367
--- /dev/null
+++ b/results/train/hyperbola/problem_7136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85cf8cf69510ad68fa57d883d740abafc1a36cf9d2944da74379e90d31737d7c
+size 239969
diff --git a/results/train/hyperbola/problem_7140.png b/results/train/hyperbola/problem_7140.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf3ca458a59a3e5e16c4289388dff1908592ad24
--- /dev/null
+++ b/results/train/hyperbola/problem_7140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fe797611af217b3f8e23a8228bf9b0167030719321d7882130b152d047fe5cf
+size 260273
diff --git a/results/train/hyperbola/problem_7141.png b/results/train/hyperbola/problem_7141.png
new file mode 100644
index 0000000000000000000000000000000000000000..439d3bb4cc4fed3ff7f006d8e239041e15437e33
--- /dev/null
+++ b/results/train/hyperbola/problem_7141.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22328a53e9d311d042dfd97044d1b0a026f811f8c2d811bb6aa5fe8520b79b77
+size 272920
diff --git a/results/train/hyperbola/problem_7142.png b/results/train/hyperbola/problem_7142.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0c7c8bb53846b04672518d65dac918f613e3e1f
--- /dev/null
+++ b/results/train/hyperbola/problem_7142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec447f8d1b03d1c79732742d581692ce283be27ccd1a6189e0cf304e8c5bdbbc
+size 262868
diff --git a/results/train/hyperbola/problem_7144.png b/results/train/hyperbola/problem_7144.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eba3618e42ded42f9bd047feb7684a3b1ccc776
--- /dev/null
+++ b/results/train/hyperbola/problem_7144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e31268625d66af2ba0eac8bb56e5bb69357d0db0a85d170db937adb0ac0777f
+size 280222
diff --git a/results/train/hyperbola/problem_7149.png b/results/train/hyperbola/problem_7149.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0a88c8be06d2732ba714fc6a8c2443ceb08d99f
--- /dev/null
+++ b/results/train/hyperbola/problem_7149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d09cc1c73b80dcaa573653397053fae88e55aa79438636474228910c6e18d65
+size 272147
diff --git a/results/train/hyperbola/problem_7150.png b/results/train/hyperbola/problem_7150.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4f76670ebc91f0aa799fec421949f2d0ab115fb
--- /dev/null
+++ b/results/train/hyperbola/problem_7150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a66f6f45fc6dfd0216d25f3aa056dd2880077ceb3c689b6018c7ca2dfc0381de
+size 265320
diff --git a/results/train/hyperbola/problem_7152.png b/results/train/hyperbola/problem_7152.png
new file mode 100644
index 0000000000000000000000000000000000000000..54f9edc28631ebc484fddc80fbbb2ace2fcc945b
--- /dev/null
+++ b/results/train/hyperbola/problem_7152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3575fb9372c75bf5b747e4378538f40d43e6acbae201d414549a0c98a0fedb5
+size 263180
diff --git a/results/train/hyperbola/problem_7153.png b/results/train/hyperbola/problem_7153.png
new file mode 100644
index 0000000000000000000000000000000000000000..475e2d63bf8045d8604e162cf0dcd28a2ee7cc96
--- /dev/null
+++ b/results/train/hyperbola/problem_7153.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0ec4f1591ed17b6166ac502745f50d2c5d50edf277b8bb83b7a1b59412fc71d
+size 264606
diff --git a/results/train/hyperbola/problem_7156.png b/results/train/hyperbola/problem_7156.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba3223f6b50a7b4b22c05f570c236be19025c33e
--- /dev/null
+++ b/results/train/hyperbola/problem_7156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8403f3258e22814885c8ec47065ef5bd792bd698d9dca6ac7c153fcc3f3983ec
+size 261609
diff --git a/results/train/hyperbola/problem_7162.png b/results/train/hyperbola/problem_7162.png
new file mode 100644
index 0000000000000000000000000000000000000000..6881da49e5b0040be000ed804a088a3398a880fe
--- /dev/null
+++ b/results/train/hyperbola/problem_7162.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e57fb22466bcd15e38f4b7327f61f8e3ce79235bde60a1e6e8d100c20f424668
+size 277746
diff --git a/results/train/hyperbola/problem_7165.png b/results/train/hyperbola/problem_7165.png
new file mode 100644
index 0000000000000000000000000000000000000000..556694d58723026f1c35afb08fabdefe1bf5f0e2
--- /dev/null
+++ b/results/train/hyperbola/problem_7165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b01146d86f74a44f7efa35abaeec89ede60e11cd1d0393b8cd9da2e4ef8f18e
+size 266989
diff --git a/results/train/hyperbola/problem_7167.png b/results/train/hyperbola/problem_7167.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ba051824a82b76c0203d89866e877dc853c8f47
--- /dev/null
+++ b/results/train/hyperbola/problem_7167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a85dae58989ce71c32c298b466227a9eb471fc964d6eb71b37106e34124a341
+size 262142
diff --git a/results/train/hyperbola/problem_7174.png b/results/train/hyperbola/problem_7174.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e9fff6ae2e167e9bf4eecd5d1a5a50e9b6c70f0
--- /dev/null
+++ b/results/train/hyperbola/problem_7174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fad314f2e569584f71add2af3bfe01169eb86ec397fc128c54401314bccb0aac
+size 266870
diff --git a/results/train/hyperbola/problem_7177.png b/results/train/hyperbola/problem_7177.png
new file mode 100644
index 0000000000000000000000000000000000000000..344d8d8fc83d87a88684d64b3d2f385960263538
--- /dev/null
+++ b/results/train/hyperbola/problem_7177.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8e023cab051aad73c64c660bb911d4d443799f4ef6727429750308f8fc8ec8f
+size 265149
diff --git a/results/train/hyperbola/problem_7178.png b/results/train/hyperbola/problem_7178.png
new file mode 100644
index 0000000000000000000000000000000000000000..5cea61e5c41a88d03b22efd7e39aaa9d9a72d451
--- /dev/null
+++ b/results/train/hyperbola/problem_7178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da0851c9dbf8c136b809e69147079d565611aa42d47c0be6db0115ed5a8ca97b
+size 256529
diff --git a/results/train/hyperbola/problem_7180.png b/results/train/hyperbola/problem_7180.png
new file mode 100644
index 0000000000000000000000000000000000000000..5119d6af7620fc951f5326397cee4abc5e647de3
--- /dev/null
+++ b/results/train/hyperbola/problem_7180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ade1cd33b16cb66836da22549209340d1196f06c7aaebfe476e6639eebabf45
+size 261978
diff --git a/results/train/hyperbola/problem_7181.png b/results/train/hyperbola/problem_7181.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e4c5d59d94ada149f99cf5ae44af5f596022531
--- /dev/null
+++ b/results/train/hyperbola/problem_7181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:386e1acab3943807086ff0635ae847db60d4514222d7c1e208400275a7eab3cc
+size 321841
diff --git a/results/train/hyperbola/problem_7192.png b/results/train/hyperbola/problem_7192.png
new file mode 100644
index 0000000000000000000000000000000000000000..6930ebce3117672f3e9fa528d7770143d8238ff8
--- /dev/null
+++ b/results/train/hyperbola/problem_7192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1acd7bb8c78e09a32b0f30700c4ad455d178163244d085bb12a44502b02f56a1
+size 254487
diff --git a/results/train/hyperbola/problem_7197.png b/results/train/hyperbola/problem_7197.png
new file mode 100644
index 0000000000000000000000000000000000000000..6eba49f43678cbf480a524de185b923a08c93dcb
--- /dev/null
+++ b/results/train/hyperbola/problem_7197.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a828dd5c0d8f1f356b5d1d63f77d5756adc09c2d8153fb4372973f6b5c83ef9b
+size 261677
diff --git a/results/train/hyperbola/problem_7198.png b/results/train/hyperbola/problem_7198.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a64c7f6d6a7a0de0ea8c700c03f812cf4d5e239
--- /dev/null
+++ b/results/train/hyperbola/problem_7198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:976a41461d37c4243fc803b13f4ada3492d5f32f209e6e60851c997eed4c2c06
+size 285453
diff --git a/results/train/hyperbola/problem_7203.png b/results/train/hyperbola/problem_7203.png
new file mode 100644
index 0000000000000000000000000000000000000000..18b07adfa426c0b9626d2858a6deddd8fdc6c56e
--- /dev/null
+++ b/results/train/hyperbola/problem_7203.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a194db1c2a881718487766428f62642c65a55a257994510fbeb2e0ed756e01f7
+size 242779
diff --git a/results/train/hyperbola/problem_7208.png b/results/train/hyperbola/problem_7208.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5eea44ed07741b6bd9907bcca6c8fcaa37e026f
--- /dev/null
+++ b/results/train/hyperbola/problem_7208.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73a34ca122261ed2d960215f3cce7e763ef83016543e91463283f7c38632592c
+size 276622
diff --git a/results/train/hyperbola/problem_7214.png b/results/train/hyperbola/problem_7214.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b0293220eec6dc7c1ceff38332f509d675571c9
--- /dev/null
+++ b/results/train/hyperbola/problem_7214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c37613883bf7da35f2902a5afe386cf35d76a21fd8611afe084a28f98c8b646
+size 261599
diff --git a/results/train/hyperbola/problem_7216.png b/results/train/hyperbola/problem_7216.png
new file mode 100644
index 0000000000000000000000000000000000000000..446fc09d59b5a926da18dd0ce5343899f557f575
--- /dev/null
+++ b/results/train/hyperbola/problem_7216.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81e4475942c156f821c953e1675178532dabd299e444c2ce71d534a8623799ab
+size 257451
diff --git a/results/train/hyperbola/problem_7219.png b/results/train/hyperbola/problem_7219.png
new file mode 100644
index 0000000000000000000000000000000000000000..aef93bf409ccb33438444fc1cae48b7a33b08f8d
--- /dev/null
+++ b/results/train/hyperbola/problem_7219.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c460df6eecd1f155556d9d02b2cfed4f59077f1630eadd6e2cfdbf836015f14
+size 268840
diff --git a/results/train/hyperbola/problem_7220.png b/results/train/hyperbola/problem_7220.png
new file mode 100644
index 0000000000000000000000000000000000000000..337973348d06d986060a5279021de3ca78b66cc4
--- /dev/null
+++ b/results/train/hyperbola/problem_7220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7705dd44fd22260319cd6975d63a531aa96d756665aad2fdb34606bfe625ac2e
+size 261401
diff --git a/results/train/hyperbola/problem_7221.png b/results/train/hyperbola/problem_7221.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9e3d0e3432bfa097a0347cf729798e9abb6d063
--- /dev/null
+++ b/results/train/hyperbola/problem_7221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fd41bbfc7df6efe1e0aff4472379d28499fbe4050c9a291fef13e6ab9024cc2
+size 258506
diff --git a/results/train/hyperbola/problem_7228.png b/results/train/hyperbola/problem_7228.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3a9910f2a93f187649e9d348e8f45f3a57f9707
--- /dev/null
+++ b/results/train/hyperbola/problem_7228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e90c28de50b454bd4c81128294ddf2e773563f6ff312809f9e300176e639970d
+size 265211
diff --git a/results/train/hyperbola/problem_7231.png b/results/train/hyperbola/problem_7231.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4ab1223ea7096f009dd1ad3c2171083edee4016
--- /dev/null
+++ b/results/train/hyperbola/problem_7231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e164a7357ee937f9988661ffff6ef0d2b8b60405aa74c06da8f19a96092af005
+size 262541
diff --git a/results/train/hyperbola/problem_7233.png b/results/train/hyperbola/problem_7233.png
new file mode 100644
index 0000000000000000000000000000000000000000..d55cb1e09bd8e91a5a8020a9c66bcd4bf3195540
--- /dev/null
+++ b/results/train/hyperbola/problem_7233.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:998878533a490f6aac3fcc2d18d8316a08295822c0e269a8a713dd7a4a48d30a
+size 245333
diff --git a/results/train/hyperbola/problem_7234.png b/results/train/hyperbola/problem_7234.png
new file mode 100644
index 0000000000000000000000000000000000000000..b398ad19b1721730e6078823cc01dbefd5b2f213
--- /dev/null
+++ b/results/train/hyperbola/problem_7234.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db95d7471b6bca60fcf7672e38cc046959cfbe472e15469d11f1e659b76dca33
+size 260527
diff --git a/results/train/hyperbola/problem_7239.png b/results/train/hyperbola/problem_7239.png
new file mode 100644
index 0000000000000000000000000000000000000000..62a69dc46f3b989cf0c9e3decff3feff6419cd06
--- /dev/null
+++ b/results/train/hyperbola/problem_7239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2b98f57f4e0efb561c460d93d90893dc5686526e087461f1fc0d6b983332305
+size 265792
diff --git a/results/train/hyperbola/problem_7240.png b/results/train/hyperbola/problem_7240.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8a687443538695967c3b34495e7634da3fa3524
--- /dev/null
+++ b/results/train/hyperbola/problem_7240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d51500a3f279b6565e6b2aa4b46b0e07f6fb8636e44f5c2d7078595a7a8fdcdd
+size 267900
diff --git a/results/train/hyperbola/problem_7242.png b/results/train/hyperbola/problem_7242.png
new file mode 100644
index 0000000000000000000000000000000000000000..292b690e6bd27e4f5eb8ad29410d743de916ada7
--- /dev/null
+++ b/results/train/hyperbola/problem_7242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:308dd53924c9cf598a5e40f628431b70d866634d59f533c6762e0921136d676f
+size 286205
diff --git a/results/train/hyperbola/problem_7246.png b/results/train/hyperbola/problem_7246.png
new file mode 100644
index 0000000000000000000000000000000000000000..4784f55cce3988d5a027bdcbc74be44a92ca2db1
--- /dev/null
+++ b/results/train/hyperbola/problem_7246.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb30b91c8e852ff60a111891f8d300eab3c3bdabfbd540e509a9fac2bbf74344
+size 282836
diff --git a/results/train/hyperbola/problem_7253.png b/results/train/hyperbola/problem_7253.png
new file mode 100644
index 0000000000000000000000000000000000000000..c84d0509fef58fe6a73774da5739ac3825bcd2f8
--- /dev/null
+++ b/results/train/hyperbola/problem_7253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:344652b3940a4bf110178516b2c3779084b3a3a72654e3d74b4a4dd60b428f8a
+size 265424
diff --git a/results/train/hyperbola/problem_7268.png b/results/train/hyperbola/problem_7268.png
new file mode 100644
index 0000000000000000000000000000000000000000..13ba9b02e13d8b47dfd06b0df57c55417d3a97dc
--- /dev/null
+++ b/results/train/hyperbola/problem_7268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5948db754adab618c9012a851b710490d5f1acf43686a2c7d88a1b13b17b9f8f
+size 262713
diff --git a/results/train/hyperbola/problem_7269.png b/results/train/hyperbola/problem_7269.png
new file mode 100644
index 0000000000000000000000000000000000000000..9be5b6ebbacbcff3f48138bb6bf18bd9e713b8ba
--- /dev/null
+++ b/results/train/hyperbola/problem_7269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e688b33dfbdcaeeea068e89e5d135a7f09161c5f812c988f3cfc853cc7d606b3
+size 259501
diff --git a/results/train/hyperbola/problem_7276.png b/results/train/hyperbola/problem_7276.png
new file mode 100644
index 0000000000000000000000000000000000000000..243e27bb2257d48b34f1b7bb41a178a08e2766cc
--- /dev/null
+++ b/results/train/hyperbola/problem_7276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f837d8beb9dfaa53d2b4eac754d2845915974e0641d88d20c3ed17875124874
+size 261965
diff --git a/results/train/hyperbola/problem_7281.png b/results/train/hyperbola/problem_7281.png
new file mode 100644
index 0000000000000000000000000000000000000000..e381ace07b4405a4c40557952f46106a272c4f15
--- /dev/null
+++ b/results/train/hyperbola/problem_7281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e24e5918c23d19963b5e8fe8d5cf2bdb43d9723052a691e12616d74d23df893
+size 266537
diff --git a/results/train/hyperbola/problem_7284.png b/results/train/hyperbola/problem_7284.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7670c26f5c2e3f610e17e3ed9113d7504203094
--- /dev/null
+++ b/results/train/hyperbola/problem_7284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cd3a458c21f6f38b65d8e3690aeaba1de9808d326f0c4606f075291a5a8cca83
+size 272657
diff --git a/results/train/hyperbola/problem_7286.png b/results/train/hyperbola/problem_7286.png
new file mode 100644
index 0000000000000000000000000000000000000000..985d37eb354223ce926314f5c67a3ba263c951ed
--- /dev/null
+++ b/results/train/hyperbola/problem_7286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a2739896ecbcd770088fa37ece99ca6f752989fc5ff0d24ad7d0e6c37d039e5
+size 254742
diff --git a/results/train/hyperbola/problem_7289.png b/results/train/hyperbola/problem_7289.png
new file mode 100644
index 0000000000000000000000000000000000000000..781792ef854717a6189b445d1bb3e818d7c8159a
--- /dev/null
+++ b/results/train/hyperbola/problem_7289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e25889fc38d9df1d3b5705423b0693094ac00f12ba401ebfaef1bf8902f5e6b3
+size 259854
diff --git a/results/train/hyperbola/problem_7290.png b/results/train/hyperbola/problem_7290.png
new file mode 100644
index 0000000000000000000000000000000000000000..d55cb1e09bd8e91a5a8020a9c66bcd4bf3195540
--- /dev/null
+++ b/results/train/hyperbola/problem_7290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:998878533a490f6aac3fcc2d18d8316a08295822c0e269a8a713dd7a4a48d30a
+size 245333
diff --git a/results/train/hyperbola/problem_7291.png b/results/train/hyperbola/problem_7291.png
new file mode 100644
index 0000000000000000000000000000000000000000..e750654b8a59b697c90d56d3d4b7d84e548f6a1d
--- /dev/null
+++ b/results/train/hyperbola/problem_7291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8e79db272fc49c1408e9229cb2ad56530b5cd27bb4ac4744de8bd5be769db8e
+size 264592
diff --git a/results/train/hyperbola/problem_7301.png b/results/train/hyperbola/problem_7301.png
new file mode 100644
index 0000000000000000000000000000000000000000..5823dff116575da594f98a079706bdc6fa49881f
--- /dev/null
+++ b/results/train/hyperbola/problem_7301.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:200605f341de20bd456a77793f62f2d018d51b874cdde0465360a45429e0a50b
+size 266608
diff --git a/results/train/hyperbola/problem_7309.png b/results/train/hyperbola/problem_7309.png
new file mode 100644
index 0000000000000000000000000000000000000000..daa51812fba5c35a261ec737851bc5902f928682
--- /dev/null
+++ b/results/train/hyperbola/problem_7309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b59d124c3fa5cf989b71170a45a0d97b5107067c89bc55434b4b6c0f732e76c8
+size 269075
diff --git a/results/train/hyperbola/problem_7317.png b/results/train/hyperbola/problem_7317.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3aa7470ec3c9bd8b7eb222154e2fe28e32aa4b9
--- /dev/null
+++ b/results/train/hyperbola/problem_7317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68d7e7408d8e5778e436e8298ecbc243a0fa8517fa4c02707988b72d8e9aa190
+size 263821
diff --git a/results/train/hyperbola/problem_7319.png b/results/train/hyperbola/problem_7319.png
new file mode 100644
index 0000000000000000000000000000000000000000..efa31faae03cd8717a12210ed4ba1c61b95f9ec4
--- /dev/null
+++ b/results/train/hyperbola/problem_7319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a19dd79c29a2c52377476e62bcac5ace119d9d1c603c23a12b1d78b65ea83674
+size 259161
diff --git a/results/train/hyperbola/problem_7321.png b/results/train/hyperbola/problem_7321.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b1135f77604d3d47d2dddfaf48d05cf463d0d57
--- /dev/null
+++ b/results/train/hyperbola/problem_7321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:776d0df2faaddf255af0c3003415b5cbac16fbac83dc6e9e4ce0dea18aa1bc37
+size 262910
diff --git a/results/train/hyperbola/problem_7328.png b/results/train/hyperbola/problem_7328.png
new file mode 100644
index 0000000000000000000000000000000000000000..b198666b66dc9c065b52bc240f0c72c5994fba9c
--- /dev/null
+++ b/results/train/hyperbola/problem_7328.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a86470d73adb5a361e3c0733b590e2ae5e4ada7a39f28ccf465ff8067e4e746
+size 262261
diff --git a/results/train/hyperbola/problem_7332.png b/results/train/hyperbola/problem_7332.png
new file mode 100644
index 0000000000000000000000000000000000000000..b58cd9df2d83d6b8aa02f19fbe7a064c26ff5d3e
--- /dev/null
+++ b/results/train/hyperbola/problem_7332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27f64d84c428019c882523e1f48c9994caa83306cf2c616d9fd44c8a9dd14d7e
+size 266107
diff --git a/results/train/hyperbola/problem_7334.png b/results/train/hyperbola/problem_7334.png
new file mode 100644
index 0000000000000000000000000000000000000000..57d4e42b6ff9616d026fbbc109f7e609da2b04f7
--- /dev/null
+++ b/results/train/hyperbola/problem_7334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a01fdf9a072c40997618870e1cafba6d9a2467c0a7bae721df5b12d1e6692a8
+size 274869
diff --git a/results/train/hyperbola/problem_7335.png b/results/train/hyperbola/problem_7335.png
new file mode 100644
index 0000000000000000000000000000000000000000..45548f2f1d5ca6efe497f68a62d71e8afeea9d49
--- /dev/null
+++ b/results/train/hyperbola/problem_7335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e86adb03fa0941d27b804a11d217433f80db6eb3239e458887f8e3debd4cb475
+size 280681
diff --git a/results/train/hyperbola/problem_7336.png b/results/train/hyperbola/problem_7336.png
new file mode 100644
index 0000000000000000000000000000000000000000..dba223c22fe4109f637bc5873aeb3ab3f6c10db2
--- /dev/null
+++ b/results/train/hyperbola/problem_7336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78b1def7003c51f161bb6a0c8ae4184f4455797a4fcc19febfc343a4df597aa0
+size 326604
diff --git a/results/train/hyperbola/problem_7338.png b/results/train/hyperbola/problem_7338.png
new file mode 100644
index 0000000000000000000000000000000000000000..82a843d320ff6aa37f02b61d730ef77cefcd22ed
--- /dev/null
+++ b/results/train/hyperbola/problem_7338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbfa837f6f87aa9c6b963d5a83fa5b4caa41693fb22ab88234eebbee7580d914
+size 294670
diff --git a/results/train/hyperbola/problem_7340.png b/results/train/hyperbola/problem_7340.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5e214511feca87673526d54725a9d9462c19773
--- /dev/null
+++ b/results/train/hyperbola/problem_7340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1c3ee3dec3883fa8313cd6e7209f13b8eff009ea623e056c023b298f360377d
+size 273282
diff --git a/results/train/hyperbola/problem_7343.png b/results/train/hyperbola/problem_7343.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1ae49dc97f4b521cc30be782260f7e9fe7046ec
--- /dev/null
+++ b/results/train/hyperbola/problem_7343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99c57cf449bb73bb403f0ea9e5adf8eb6cedf2856c6236a428dbeacb85f1ca91
+size 275274
diff --git a/results/train/hyperbola/problem_7344.png b/results/train/hyperbola/problem_7344.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e808d0768c20129a20043a49a0d80cd304ccaba
--- /dev/null
+++ b/results/train/hyperbola/problem_7344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fb2ca3eb8300da4bad4a9fc0ba2a7740a3a4c21d10b49b42c8861a7402fe841
+size 264687
diff --git a/results/train/hyperbola/problem_7346.png b/results/train/hyperbola/problem_7346.png
new file mode 100644
index 0000000000000000000000000000000000000000..9806dd8a5f8b1e5c75aa2319912e744a61d06380
--- /dev/null
+++ b/results/train/hyperbola/problem_7346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9bc5afce914daf0aeb510f6ee6e6cb22035a35fdf3d8698d91c2056ce7c2ea4
+size 269861
diff --git a/results/train/hyperbola/problem_7353.png b/results/train/hyperbola/problem_7353.png
new file mode 100644
index 0000000000000000000000000000000000000000..728594ff8d122279ce48136212f0246f4fe5d994
--- /dev/null
+++ b/results/train/hyperbola/problem_7353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bab176ceb0bb5c2828c18e4c1a3280f865a91bda2179a25140e4a3fabefdf68
+size 278252
diff --git a/results/train/hyperbola/problem_7360.png b/results/train/hyperbola/problem_7360.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef1ef4eae49eb6896f46f512c82397dce84861db
--- /dev/null
+++ b/results/train/hyperbola/problem_7360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84992af3af221510a0971e52a6ab7fbc139a5f49d26906916a263a6423bab5bc
+size 270265
diff --git a/results/train/hyperbola/problem_7369.png b/results/train/hyperbola/problem_7369.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cfe61c270482110cbd8b1943f96351ffb0a0789
--- /dev/null
+++ b/results/train/hyperbola/problem_7369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76c2c82c39138e734c5164bf968ab5f2cc8c6b9cf9fd8112c830f9328f8fc349
+size 231724
diff --git a/results/train/hyperbola/problem_7371.png b/results/train/hyperbola/problem_7371.png
new file mode 100644
index 0000000000000000000000000000000000000000..604d7c2916450e2e2088e837758e5ec347b7bcf5
--- /dev/null
+++ b/results/train/hyperbola/problem_7371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a455b7799879609139bdc877ec58314be7a25c0e747b88039c449a2bab2e822
+size 243071
diff --git a/results/train/hyperbola/problem_7374.png b/results/train/hyperbola/problem_7374.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7aefc2ac8f77f5ab87e15cd1a4bf02dfb4852c1
--- /dev/null
+++ b/results/train/hyperbola/problem_7374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d5a2b1cd976fa03e81bb51a6c2b106cc90febc1df69039b98bdacdcbc5abbfe
+size 258446
diff --git a/results/train/hyperbola/problem_7377.png b/results/train/hyperbola/problem_7377.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3634a06e522f2b28df4cb3ec2c90c22bec070a3
--- /dev/null
+++ b/results/train/hyperbola/problem_7377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d04a11926101747dc699a7173dd8f8e55adb1767502d9a87aace234f51f8b37b
+size 270871
diff --git a/results/train/hyperbola/problem_7383.png b/results/train/hyperbola/problem_7383.png
new file mode 100644
index 0000000000000000000000000000000000000000..7953db9690fbc7fb28047ca1677454a69cd8148a
--- /dev/null
+++ b/results/train/hyperbola/problem_7383.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02ee355a4419ea2135e452baef2bea0aab5c3e07c2cdf5242d34f2c7acf97930
+size 244740
diff --git a/results/train/hyperbola/problem_7385.png b/results/train/hyperbola/problem_7385.png
new file mode 100644
index 0000000000000000000000000000000000000000..5667505c90802d81a588cedcea86c287ccec0103
--- /dev/null
+++ b/results/train/hyperbola/problem_7385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c295629a83097c02b44d1c87d2c88490ebdbc77bff3072f2d60f534024a2d3e1
+size 259591
diff --git a/results/train/hyperbola/problem_7388.png b/results/train/hyperbola/problem_7388.png
new file mode 100644
index 0000000000000000000000000000000000000000..87a5a3789b8bef23a57cf2cd376190c3dbe81fee
--- /dev/null
+++ b/results/train/hyperbola/problem_7388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1100438650531bbc707cbceebb11110f9a25c88e790d38d456e7216157e18b9
+size 263637
diff --git a/results/train/hyperbola/problem_7394.png b/results/train/hyperbola/problem_7394.png
new file mode 100644
index 0000000000000000000000000000000000000000..56dcfa9d1c0c3b620b8f7825dbf3cefae060aed0
--- /dev/null
+++ b/results/train/hyperbola/problem_7394.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed741ad0ba8829ac293d0eb2c47e2a6b73c2fdbd6fb767786dd6ae95361baa1d
+size 257995
diff --git a/results/train/hyperbola/problem_7396.png b/results/train/hyperbola/problem_7396.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5301ba2a58d0aa502766120893f833f79c5b75b
--- /dev/null
+++ b/results/train/hyperbola/problem_7396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49f477dbd807c27a1fe381a7e3fc79c38a5d23253c4277b6b7252c27a736f2c8
+size 254219
diff --git a/results/train/hyperbola/problem_7406.png b/results/train/hyperbola/problem_7406.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4745b6d9b3cbe899650b2df6c4cbaaeb8e425d5
--- /dev/null
+++ b/results/train/hyperbola/problem_7406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4f9e4559ebdb9b3481b2d361f2bb96b8c744d6a6cfd1f054c6955e440bea796
+size 270784
diff --git a/results/train/hyperbola/problem_7409.png b/results/train/hyperbola/problem_7409.png
new file mode 100644
index 0000000000000000000000000000000000000000..28b5e782d8defdb738105c3d26a604603d60ff0e
--- /dev/null
+++ b/results/train/hyperbola/problem_7409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4701a958f1ca7fce908ed585f41574232ed9f37b6b901ea2371c95dc54188d2c
+size 258583
diff --git a/results/train/hyperbola/problem_7415.png b/results/train/hyperbola/problem_7415.png
new file mode 100644
index 0000000000000000000000000000000000000000..521df28d452786d0585200b0a20394fb2883a850
--- /dev/null
+++ b/results/train/hyperbola/problem_7415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:612f12b8f2b29e4f93eb1a6a3aca039595ce3f8d001d94c76b62e9201e83edee
+size 269574
diff --git a/results/train/hyperbola/problem_7424.png b/results/train/hyperbola/problem_7424.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c9553a8793087fa7238028c703ae1507051cceb
--- /dev/null
+++ b/results/train/hyperbola/problem_7424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f59ced8d7c8fdab2c2f329d7715c14ad1749f1b820e1212854522d0a2fe92d5a
+size 278486
diff --git a/results/train/hyperbola/problem_7428.png b/results/train/hyperbola/problem_7428.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf586ad80a641ce489813d91b1ffdaab5abccfdf
--- /dev/null
+++ b/results/train/hyperbola/problem_7428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:025eb0fbe737f24fcf3d1e0f1c905dc32c58400c517806b33afe778bd8f443bf
+size 257814
diff --git a/results/train/hyperbola/problem_7429.png b/results/train/hyperbola/problem_7429.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c2f55ff3a58837c42e1907b98353fe0ef1e63d6
--- /dev/null
+++ b/results/train/hyperbola/problem_7429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bdd62a8279e094b5634433483eb50158b50c6280376254c878227cec9093c3b
+size 281435
diff --git a/results/train/hyperbola/problem_7430.png b/results/train/hyperbola/problem_7430.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a35a0fed8d2344f25cad7eaa892938308d08483
--- /dev/null
+++ b/results/train/hyperbola/problem_7430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f5e570dd5d85497cb6f32ee6a569dffc038f9e9c79948e22d1946dcaaa6405b
+size 255665
diff --git a/results/train/hyperbola/problem_7431.png b/results/train/hyperbola/problem_7431.png
new file mode 100644
index 0000000000000000000000000000000000000000..01b209f4496dd03484aa13e7e6aac3e17812b281
--- /dev/null
+++ b/results/train/hyperbola/problem_7431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb668a117db997cab58cc3037ab30dcdeb50f5291b77fb6702a0e9ff155495eb
+size 273593
diff --git a/results/train/hyperbola/problem_7437.png b/results/train/hyperbola/problem_7437.png
new file mode 100644
index 0000000000000000000000000000000000000000..7693283c17ca141e7877c5d3cb909d58c0a70186
--- /dev/null
+++ b/results/train/hyperbola/problem_7437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e588489e326170174a4fd5558fde4125406b97c3d6f90fa2c15b4b0cd5a1a14
+size 255675
diff --git a/results/train/hyperbola/problem_7446.png b/results/train/hyperbola/problem_7446.png
new file mode 100644
index 0000000000000000000000000000000000000000..0ab3846edc22e6399af63b92153e03337c860131
--- /dev/null
+++ b/results/train/hyperbola/problem_7446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19674e4f62c409aff4b2c236ac326f37adf56c7a1c1e1875d3456dbb475ed0fb
+size 266038
diff --git a/results/train/hyperbola/problem_7463.png b/results/train/hyperbola/problem_7463.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0138490b9fd6acbbc4e19811957c7d0f544eb2b
--- /dev/null
+++ b/results/train/hyperbola/problem_7463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc3903f9c137ce5d075fce82c6edf9cba3f9c8f6f49149ed7bb22a7c6c3edf5d
+size 258309
diff --git a/results/train/hyperbola/problem_7468.png b/results/train/hyperbola/problem_7468.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b4660904f713d3645732441cc63b76a8499d847
--- /dev/null
+++ b/results/train/hyperbola/problem_7468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c1cb0bdc81dfff871f4b75ea97416064e96da068846d4a1e5cfcb50a4041fae
+size 235941
diff --git a/results/train/hyperbola/problem_7472.png b/results/train/hyperbola/problem_7472.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c827912d6ea7b1110945f0394439310d2eff1b2
--- /dev/null
+++ b/results/train/hyperbola/problem_7472.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4eb49bf985b6ffc6e1f290fc369258a3dc34943168f3a1c57d2d6009476ed91
+size 265759
diff --git a/results/train/hyperbola/problem_7477.png b/results/train/hyperbola/problem_7477.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6d82237f001d9dc037cd9405548bf085cae36ff
--- /dev/null
+++ b/results/train/hyperbola/problem_7477.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bc56de9a1860d3b289b3b95355f333a82f6ca73ed70ca28a7f32b85a70348ec
+size 252519
diff --git a/results/train/hyperbola/problem_7480.png b/results/train/hyperbola/problem_7480.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a1661769a8e867b3121e6133c2a49560da7740b
--- /dev/null
+++ b/results/train/hyperbola/problem_7480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01746d9864ca3e207eedbbf29fcb119cddd5de7480cb6062e84d47ea3795a4fd
+size 283628
diff --git a/results/train/hyperbola/problem_7483.png b/results/train/hyperbola/problem_7483.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f3835212d73a50747a4162566c61afe18bb5761
--- /dev/null
+++ b/results/train/hyperbola/problem_7483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83b3a4ccc5167e849767f9e79a9991380b225460ecedb83b06bf8a6b441df1cb
+size 241018
diff --git a/results/train/hyperbola/problem_7484.png b/results/train/hyperbola/problem_7484.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a3abb7bbf7da28eb00e6463fce2b3480e848f4a
--- /dev/null
+++ b/results/train/hyperbola/problem_7484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a58dd8015b4e4c4a4b94694dfd1e3ee04b8c672a98d6fc38ae5fb2fbf7cc7719
+size 265534
diff --git a/results/train/hyperbola/problem_7486.png b/results/train/hyperbola/problem_7486.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5e914203c0fac355f44d02098db27e0ff3ba76c
--- /dev/null
+++ b/results/train/hyperbola/problem_7486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0334d9ddbe834f36a14d2381d925ff5111bdeeb4ce440849d887fbd7b6e6f1a0
+size 255783
diff --git a/results/train/hyperbola/problem_7488.png b/results/train/hyperbola/problem_7488.png
new file mode 100644
index 0000000000000000000000000000000000000000..56f3c9cfbb3c6262688bac460b930eda4d76ca6f
--- /dev/null
+++ b/results/train/hyperbola/problem_7488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:984aa809956dfac5652839d12e71da7b982506317b477a3e25916b7848c967fa
+size 248731
diff --git a/results/train/hyperbola/problem_7492.png b/results/train/hyperbola/problem_7492.png
new file mode 100644
index 0000000000000000000000000000000000000000..407437368212007119f94d3cba92851290aa0dd2
--- /dev/null
+++ b/results/train/hyperbola/problem_7492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5822a21700e2e744196c5d73b31807112d26c43b099ac3c623cc979c771ef77b
+size 255502
diff --git a/results/train/hyperbola/problem_7494.png b/results/train/hyperbola/problem_7494.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcaa32946a7e7d5e8c48a42f6e1891a2223b1a66
--- /dev/null
+++ b/results/train/hyperbola/problem_7494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76eb122c7cb4fffba89a3992df186b06ec74722f60c5a1f552f95193b9f49db7
+size 269453
diff --git a/results/train/hyperbola/problem_7503.png b/results/train/hyperbola/problem_7503.png
new file mode 100644
index 0000000000000000000000000000000000000000..e64490ba69842ef4a61c4e69e65ba2ded27c3352
--- /dev/null
+++ b/results/train/hyperbola/problem_7503.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f9de540caece0ad0ba0a91966c09c50cae72cc28bf6131f4895b5b7e54f2fa1
+size 272031
diff --git a/results/train/hyperbola/problem_7505.png b/results/train/hyperbola/problem_7505.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8c4941e5cf70e605a01073ff96402a3781cd5f2
--- /dev/null
+++ b/results/train/hyperbola/problem_7505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8cfa427d2be2b48facce0c606d6d68d018dea39c3bdc2c961e003f01d0a51824
+size 242353
diff --git a/results/train/hyperbola/problem_7519.png b/results/train/hyperbola/problem_7519.png
new file mode 100644
index 0000000000000000000000000000000000000000..673aeb9a6a1cab50a297e82662489e88b8a7b128
--- /dev/null
+++ b/results/train/hyperbola/problem_7519.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a3c622f6589c9852ba7fde46a66e34632e1d09b259d275cb842edfebbd33d46
+size 275433
diff --git a/results/train/hyperbola/problem_7524.png b/results/train/hyperbola/problem_7524.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fc31e2baeeb5c16093712430ee8a9940a314cce
--- /dev/null
+++ b/results/train/hyperbola/problem_7524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bd5ebb182d0294a34e7cb61ac72aee7b458393e9057ea58708aabc5af7b5cc3
+size 232718
diff --git a/results/train/hyperbola/problem_7526.png b/results/train/hyperbola/problem_7526.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab350f98f2499f0b8a38cfc12c49227610fa2667
--- /dev/null
+++ b/results/train/hyperbola/problem_7526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b703ce1c28185a970dcf413c0f99d81dc67cd7197097b0ad4659d665f6c1d4db
+size 269930
diff --git a/results/train/hyperbola/problem_7529.png b/results/train/hyperbola/problem_7529.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c0f70dbe7ab1d26b8ed8393b6f0e0430d97b7b0
--- /dev/null
+++ b/results/train/hyperbola/problem_7529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b786ab0f36d1138e51e96a5a6eea34afda450f0d089ac8cfbdbe4b638c87806
+size 266425
diff --git a/results/train/hyperbola/problem_7532.png b/results/train/hyperbola/problem_7532.png
new file mode 100644
index 0000000000000000000000000000000000000000..f115067abe163fc4f2143e4d659358d6cd078ad3
--- /dev/null
+++ b/results/train/hyperbola/problem_7532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6160f6037816aad4848e710ae06e58fc3dee083cdcddac0289536385ed0e367
+size 265945
diff --git a/results/train/hyperbola/problem_7534.png b/results/train/hyperbola/problem_7534.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb3edca45b7aa74b0f5ff22fd6fecaf641167b20
--- /dev/null
+++ b/results/train/hyperbola/problem_7534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3e4e5152a6c4cbe20fd588d8d4fc80788b83da238e0cb703fc1d72443859961
+size 246540
diff --git a/results/train/hyperbola/problem_7536.png b/results/train/hyperbola/problem_7536.png
new file mode 100644
index 0000000000000000000000000000000000000000..dee71df39ff006bd95d055dad56bbc09ee194b1d
--- /dev/null
+++ b/results/train/hyperbola/problem_7536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f5ab87c060d7b1d3c5d9bccd2064a69546933342e55c45ebaed92ddaa11372a
+size 266101
diff --git a/results/train/hyperbola/problem_7538.png b/results/train/hyperbola/problem_7538.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ac2bb5922cff767a31cd9628a32c5091d19529e
--- /dev/null
+++ b/results/train/hyperbola/problem_7538.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8057e6e4b49eca0ee35e01c5d3e49920562c4a97d78d4346672ec722b5529c5
+size 270433
diff --git a/results/train/hyperbola/problem_7541.png b/results/train/hyperbola/problem_7541.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c4196a15845ce1f424e31e6f08ab6f4571aaf9b
--- /dev/null
+++ b/results/train/hyperbola/problem_7541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cbe96619c6287ae44294a3b882b6ac9be9b5fdcc708f5cba97ac2de0c60fa73
+size 242965
diff --git a/results/train/hyperbola/problem_7543.png b/results/train/hyperbola/problem_7543.png
new file mode 100644
index 0000000000000000000000000000000000000000..44d491128bea95ba99102184246400978e91051d
--- /dev/null
+++ b/results/train/hyperbola/problem_7543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d735bebda3a7edaa6ce6803be4c786d1f2ac9bb0027706e65d7c25a7dc5e779
+size 255333
diff --git a/results/train/hyperbola/problem_7546.png b/results/train/hyperbola/problem_7546.png
new file mode 100644
index 0000000000000000000000000000000000000000..39e4ef69039ce7527c49b04763b1e2351a0a8fd1
--- /dev/null
+++ b/results/train/hyperbola/problem_7546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09a0e004e6c524c3d6a72a3921f024dacf36c3f3094315e406257e6ced4bf4bc
+size 266003
diff --git a/results/train/hyperbola/problem_7547.png b/results/train/hyperbola/problem_7547.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6e7f3a5f31ebb75beca90795bac8a3ed4da606b
--- /dev/null
+++ b/results/train/hyperbola/problem_7547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e7fd36f788a10e01730be9e8b8949c19dd9fa3626b3460c7ab00aae9f0b789b
+size 294065
diff --git a/results/train/hyperbola/problem_7550.png b/results/train/hyperbola/problem_7550.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e8cf815352a2d1ae6dabd3d18d95e636b86b53d
--- /dev/null
+++ b/results/train/hyperbola/problem_7550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b5964e6b8c3c2c120c9ffa8323d1915bc69eed76ec2d0eca2b854cf771e1f97
+size 274794
diff --git a/results/train/hyperbola/problem_7554.png b/results/train/hyperbola/problem_7554.png
new file mode 100644
index 0000000000000000000000000000000000000000..87b19d7d62fd3e5ef52cad3e1d515fe6ecac9f2e
--- /dev/null
+++ b/results/train/hyperbola/problem_7554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a9ead1555c300788ae2af2bf0a90c3fc2347c47e12af9024d1d093af99c68f9
+size 267672
diff --git a/results/train/hyperbola/problem_7555.png b/results/train/hyperbola/problem_7555.png
new file mode 100644
index 0000000000000000000000000000000000000000..61796f94ddebf406ba01b9dae7106408dfd0a947
--- /dev/null
+++ b/results/train/hyperbola/problem_7555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c51117bf1c5060c0656488e53893c463d7b06cef242100f97ce13d19dc0b681
+size 234436
diff --git a/results/train/hyperbola/problem_7556.png b/results/train/hyperbola/problem_7556.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f3b593af8458ecda91d5689bb2089754fa999a8
--- /dev/null
+++ b/results/train/hyperbola/problem_7556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bd8f3ef515df2c1176e18a95c39d98a7a7d5425960951dc648e2c459109ab5c
+size 245429
diff --git a/results/train/hyperbola/problem_7565.png b/results/train/hyperbola/problem_7565.png
new file mode 100644
index 0000000000000000000000000000000000000000..a65b676273c2aede632148e2d2f4fd39714bb7c7
--- /dev/null
+++ b/results/train/hyperbola/problem_7565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21275573882a767c439e8ade14b656d5ded65a159e6d3bf9b6326d9b2120e74c
+size 239555
diff --git a/results/train/hyperbola/problem_7568.png b/results/train/hyperbola/problem_7568.png
new file mode 100644
index 0000000000000000000000000000000000000000..d0b6a5f59a17578b3006bd3b207424de8eb058e5
--- /dev/null
+++ b/results/train/hyperbola/problem_7568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98863267ae413fbde0830a75e523c1775166a54ee93435679e1b2d923e26b672
+size 279230
diff --git a/results/train/hyperbola/problem_7571.png b/results/train/hyperbola/problem_7571.png
new file mode 100644
index 0000000000000000000000000000000000000000..fee5544d1bb9281ba7278257f3daec3aa8c84995
--- /dev/null
+++ b/results/train/hyperbola/problem_7571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d359b827fa2a10654f6e5c5434ac50b4760d9d1c8617e31dc8aed826bb5361fe
+size 283460
diff --git a/results/train/hyperbola/problem_7581.png b/results/train/hyperbola/problem_7581.png
new file mode 100644
index 0000000000000000000000000000000000000000..105fd4c6759989759a809c8640e6e1605c8943f0
--- /dev/null
+++ b/results/train/hyperbola/problem_7581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f95efbc80774117d1aaef1ae98b91185afd1aba770382d83f374ed268cf42a2
+size 262814
diff --git a/results/train/hyperbola/problem_7585.png b/results/train/hyperbola/problem_7585.png
new file mode 100644
index 0000000000000000000000000000000000000000..f847f03e44733507118e71191445a5374e604f35
--- /dev/null
+++ b/results/train/hyperbola/problem_7585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1284e1bc5dd2fe3a447799baca39bce90adf8ab163adfbf741e403f3507fa0ad
+size 263872
diff --git a/results/train/hyperbola/problem_7587.png b/results/train/hyperbola/problem_7587.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b659ca9223f7e8674bdd1b2791e4182d9b117b8
--- /dev/null
+++ b/results/train/hyperbola/problem_7587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b52e293d3960047b7beeb63f685203cae9086140cd31039e8f17c81cffbbb452
+size 262844
diff --git a/results/train/hyperbola/problem_7593.png b/results/train/hyperbola/problem_7593.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbba8f746d062990ab9cfe88c71f547cac394e56
--- /dev/null
+++ b/results/train/hyperbola/problem_7593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4eb353df98f7fc034e55aa0028398c97e6dff26b908296fb9c79bac3dae41ddc
+size 256269
diff --git a/results/train/hyperbola/problem_7597.png b/results/train/hyperbola/problem_7597.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa9da6a73e7fde66abcf298e1c407be6092e5ee1
--- /dev/null
+++ b/results/train/hyperbola/problem_7597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38fc897c1b4fffecd0dc6d1baffa9e85276e3a6eb2c5321622c4bccc73f89ceb
+size 283572
diff --git a/results/train/hyperbola/problem_7604.png b/results/train/hyperbola/problem_7604.png
new file mode 100644
index 0000000000000000000000000000000000000000..37c4a66b1411bbaec5fff4ca64771b3be8d76b28
--- /dev/null
+++ b/results/train/hyperbola/problem_7604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf6560e50fe17efc182c05ed55c4784a6e984d01e9d3535787339ce57bfe9ee0
+size 272649
diff --git a/results/train/hyperbola/problem_7607.png b/results/train/hyperbola/problem_7607.png
new file mode 100644
index 0000000000000000000000000000000000000000..829497d6699a285652a48b027a314eed41dcf6cf
--- /dev/null
+++ b/results/train/hyperbola/problem_7607.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:228b1f06645a866e32272def808dd652471bd3b0712abc7a84f9e0bdcf31b522
+size 253239
diff --git a/results/train/hyperbola/problem_7614.png b/results/train/hyperbola/problem_7614.png
new file mode 100644
index 0000000000000000000000000000000000000000..02c4c3309f32a11eb9c8dc17fe1930c9dfa1cd51
--- /dev/null
+++ b/results/train/hyperbola/problem_7614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:371ef5f581b2949afa71f1baf8bf622eb0d5e9eb3fefef2ec364768315176742
+size 267650
diff --git a/results/train/hyperbola/problem_7617.png b/results/train/hyperbola/problem_7617.png
new file mode 100644
index 0000000000000000000000000000000000000000..de1d4233b97c3933f13d5d0b230396f8bc9e4263
--- /dev/null
+++ b/results/train/hyperbola/problem_7617.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac8b889f0e6e2a7bab6fdb36033ef27fc5c28ead5cd139e4b794cf49db264207
+size 287103
diff --git a/results/train/hyperbola/problem_7627.png b/results/train/hyperbola/problem_7627.png
new file mode 100644
index 0000000000000000000000000000000000000000..8dc34630c9fac90d639cb08677d29705b98db512
--- /dev/null
+++ b/results/train/hyperbola/problem_7627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b11befef085553f603dc80a7fd41433d5698b29e0b8b4c40310f9e00b040932
+size 234139
diff --git a/results/train/hyperbola/problem_7629.png b/results/train/hyperbola/problem_7629.png
new file mode 100644
index 0000000000000000000000000000000000000000..776e326398ecc6bddd321d6fba07ffe78e55d248
--- /dev/null
+++ b/results/train/hyperbola/problem_7629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdbbd4ba2725edd021e5f7ee0a88698e1da3cf008a8b68ea9d86e8810235fa13
+size 262905
diff --git a/results/train/hyperbola/problem_7636.png b/results/train/hyperbola/problem_7636.png
new file mode 100644
index 0000000000000000000000000000000000000000..2dec43c920a0738e1f6f1804bea99d72cd7667c1
--- /dev/null
+++ b/results/train/hyperbola/problem_7636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:963a411a0718023959adb2881d668e08db6aa9b4a35a2ecba598fd6c3d7c9553
+size 267678
diff --git a/results/train/hyperbola/problem_7638.png b/results/train/hyperbola/problem_7638.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d4349ea0247e742fa4936d1ee3c551311c87029
--- /dev/null
+++ b/results/train/hyperbola/problem_7638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b6f132d808dc0df2b748621cc0cd52c6daa4b26b5ba482b3e4e17887a8be660
+size 251941
diff --git a/results/train/hyperbola/problem_7649.png b/results/train/hyperbola/problem_7649.png
new file mode 100644
index 0000000000000000000000000000000000000000..02f4eae04e5dd42cbfe22883055c8145b45b8e15
--- /dev/null
+++ b/results/train/hyperbola/problem_7649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cea7ced8da447be0a65e68ef49b9ce130c55cce3560ef81d4fdfedc3007dce8
+size 272561
diff --git a/results/train/hyperbola/problem_7652.png b/results/train/hyperbola/problem_7652.png
new file mode 100644
index 0000000000000000000000000000000000000000..5872e19079c728d200c51b92c816a0d9b46471cc
--- /dev/null
+++ b/results/train/hyperbola/problem_7652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6023ce72f56794e2f668a1b9e0b459bb7ff399d72f77c760d016b1bcab914a2
+size 263096
diff --git a/results/train/hyperbola/problem_7653.png b/results/train/hyperbola/problem_7653.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f9cc332b270bdf141bb191c6d214baaa423c518
--- /dev/null
+++ b/results/train/hyperbola/problem_7653.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fead755b51264fd830b7d69ede5ae29a0db8697c440ef9265134158c0d2b8c8
+size 263678
diff --git a/results/train/hyperbola/problem_7654.png b/results/train/hyperbola/problem_7654.png
new file mode 100644
index 0000000000000000000000000000000000000000..0aebf363966b96ab22fd0c7e6ad9c7d31ecf3420
--- /dev/null
+++ b/results/train/hyperbola/problem_7654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b031f36bf915b6760899e8d6e1b73ac22618b6e7ed83d1036d0772486e7fae0
+size 236942
diff --git a/results/train/hyperbola/problem_7665.png b/results/train/hyperbola/problem_7665.png
new file mode 100644
index 0000000000000000000000000000000000000000..95ab7e414676582b016c7a5f6e7075f73e7d0f1d
--- /dev/null
+++ b/results/train/hyperbola/problem_7665.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7389c092047bd59589656c21f39956100da758d513715d173f644149b1f5a96
+size 261508
diff --git a/results/train/hyperbola/problem_7667.png b/results/train/hyperbola/problem_7667.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd2a7254bd8333a71b1ccd46f0305f89f25aec9e
--- /dev/null
+++ b/results/train/hyperbola/problem_7667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f4e2d58e9bc564f12664e61e1fcfcfa867edf68345ebb7ad4b0736c061d5b7d
+size 277399
diff --git a/results/train/hyperbola/problem_7671.png b/results/train/hyperbola/problem_7671.png
new file mode 100644
index 0000000000000000000000000000000000000000..5834850150961cd7333ba4b37a99b2cb3b5db530
--- /dev/null
+++ b/results/train/hyperbola/problem_7671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35da5b438f2556cf243fc8e6413b535c420a12d0186b0c87cf190c9c51b0811c
+size 256102
diff --git a/results/train/hyperbola/problem_7682.png b/results/train/hyperbola/problem_7682.png
new file mode 100644
index 0000000000000000000000000000000000000000..5da6c9321f28a968cbfdfdb810a21c37a4452a43
--- /dev/null
+++ b/results/train/hyperbola/problem_7682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2b948e0063141ead27e367a83d370cb2f04ecfb3f55d5d7adca4ee108da2383
+size 278502
diff --git a/results/train/hyperbola/problem_7683.png b/results/train/hyperbola/problem_7683.png
new file mode 100644
index 0000000000000000000000000000000000000000..47eabff40632af2f5ab431d0de3cfea537ae508d
--- /dev/null
+++ b/results/train/hyperbola/problem_7683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2856bdb1d5c839f122d63ed1a8c5b718d30d7f10bf2760b371d43c26df1622ef
+size 286862
diff --git a/results/train/hyperbola/problem_7686.png b/results/train/hyperbola/problem_7686.png
new file mode 100644
index 0000000000000000000000000000000000000000..7331377ba841818043235d823df9fdf5c097dbe8
--- /dev/null
+++ b/results/train/hyperbola/problem_7686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ad6efb2e2300bbbcfae17ea0a256e090428364631da7e6b9ccd24d3a45dc5af
+size 270668
diff --git a/results/train/hyperbola/problem_7687.png b/results/train/hyperbola/problem_7687.png
new file mode 100644
index 0000000000000000000000000000000000000000..57be240ddb995db53130655788b2af13c3b90af8
--- /dev/null
+++ b/results/train/hyperbola/problem_7687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b86ec555e97bc713df45929fd2024b36fcf8830201c99d787ce7bbb0efe9afc9
+size 267619
diff --git a/results/train/hyperbola/problem_7690.png b/results/train/hyperbola/problem_7690.png
new file mode 100644
index 0000000000000000000000000000000000000000..2583c50f830d62978c86c5bdccd0283b1ce76956
--- /dev/null
+++ b/results/train/hyperbola/problem_7690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d69b9019b634f648c12563095dc81a59123e376dcdd07caeab4f8bb80b2e85c
+size 261640
diff --git a/results/train/hyperbola/problem_7693.png b/results/train/hyperbola/problem_7693.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcbf01a7332b2052cc12f81b53493f7ddfdfde92
--- /dev/null
+++ b/results/train/hyperbola/problem_7693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8810b90aadc8496324bbbc9afba115bce03382d4bdbca07abf06625967582f6f
+size 261708
diff --git a/results/train/hyperbola/problem_7695.png b/results/train/hyperbola/problem_7695.png
new file mode 100644
index 0000000000000000000000000000000000000000..27c7d99bb15cff50962dab94744e81b889027e9a
--- /dev/null
+++ b/results/train/hyperbola/problem_7695.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15ed9e214c020c7862f59b87bb9336c16ec8ecda70c5c4001e9951e29665d3f2
+size 283935
diff --git a/results/train/hyperbola/problem_7698.png b/results/train/hyperbola/problem_7698.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b592a04466232c4dad13025b82e51810fedec12
--- /dev/null
+++ b/results/train/hyperbola/problem_7698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df4d541031d1ef63d25e130f640e4c6dcdc5e735219acf435eeae05ad48f7e61
+size 233536
diff --git a/results/train/hyperbola/problem_7708.png b/results/train/hyperbola/problem_7708.png
new file mode 100644
index 0000000000000000000000000000000000000000..de2c809923434d6531ca0a4fa048f72124db495e
--- /dev/null
+++ b/results/train/hyperbola/problem_7708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6faa6371ddd635d87edb38c0e3f98da483abae5842410f15e2a7c90ead381386
+size 279416
diff --git a/results/train/hyperbola/problem_7714.png b/results/train/hyperbola/problem_7714.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f73931e722f3895d571cc2d8279f4c018597ec0
--- /dev/null
+++ b/results/train/hyperbola/problem_7714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bddb0c526ebd46e7948562113bfbc99a3d0c74ca56c84ad811f7ade8f0e29f77
+size 251732
diff --git a/results/train/hyperbola/problem_7718.png b/results/train/hyperbola/problem_7718.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f71f30f598548262665a6316ea73f7774281a3c
--- /dev/null
+++ b/results/train/hyperbola/problem_7718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:676b75707394d9d0ec3a20c2554042c6cf472e840c2ad52a1d029a575a7484d8
+size 257900
diff --git a/results/train/hyperbola/problem_7721.png b/results/train/hyperbola/problem_7721.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4cbfacc0d215b123c7a73a75fee8e0407eb05b1
--- /dev/null
+++ b/results/train/hyperbola/problem_7721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e01d79bf23f86e581ee885b69be95ba5ce943698f4a99d1d3295896693c1060
+size 263148
diff --git a/results/train/hyperbola/problem_7722.png b/results/train/hyperbola/problem_7722.png
new file mode 100644
index 0000000000000000000000000000000000000000..e929a96e61e512578598275170b70bf1fa943fa6
--- /dev/null
+++ b/results/train/hyperbola/problem_7722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9a8caa0dbe96f08c28fb2ddfa35ee0bc62dabd596b7ca0d912d6a0a4292524c
+size 276402
diff --git a/results/train/hyperbola/problem_7723.png b/results/train/hyperbola/problem_7723.png
new file mode 100644
index 0000000000000000000000000000000000000000..669e14944dafe1ce23a461b6078f956872abdba0
--- /dev/null
+++ b/results/train/hyperbola/problem_7723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:160b05d4724c43d3d406e484c2b08413c6d373036ef28edcf2965cad8c87e3b4
+size 274476
diff --git a/results/train/hyperbola/problem_7724.png b/results/train/hyperbola/problem_7724.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea0fe4a882babf53524c440e43ec87809b33d2a3
--- /dev/null
+++ b/results/train/hyperbola/problem_7724.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:230fa7ab544e68ef7a37e0c7c5be4ae15741e33b75afc68b8982e7c7ba7a2f8c
+size 249018
diff --git a/results/train/hyperbola/problem_7733.png b/results/train/hyperbola/problem_7733.png
new file mode 100644
index 0000000000000000000000000000000000000000..c81d315aae37e02eccf9bb7723e0f687cfba5b11
--- /dev/null
+++ b/results/train/hyperbola/problem_7733.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44bc5262ac9a177e076d8ce6e93c4a7dcac5bf685359717fb512b272a3d4a940
+size 245463
diff --git a/results/train/hyperbola/problem_7737.png b/results/train/hyperbola/problem_7737.png
new file mode 100644
index 0000000000000000000000000000000000000000..da6b05662a9d91c0583db7566ae42c25cdc03dcf
--- /dev/null
+++ b/results/train/hyperbola/problem_7737.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:213c2fb0f06f5ce74b90ab26b3b50a55e5437cf7b37f6405b3e7e2e29a70404f
+size 283542
diff --git a/results/train/hyperbola/problem_7739.png b/results/train/hyperbola/problem_7739.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e339724eec3fe760f1620b8f713992b7e453f26
--- /dev/null
+++ b/results/train/hyperbola/problem_7739.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79cc107915ae45e61155acac3b3a7298e20e159f9d09da5068b7f8f89113abf9
+size 254754
diff --git a/results/train/hyperbola/problem_7745.png b/results/train/hyperbola/problem_7745.png
new file mode 100644
index 0000000000000000000000000000000000000000..627e3d115274a51e6829063d37d1173aac4e38ff
--- /dev/null
+++ b/results/train/hyperbola/problem_7745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afe4299dfb74da59b458b86ca6108c10560f0d4e47b27bd8165e74921d0d2010
+size 313052
diff --git a/results/train/hyperbola/problem_7750.png b/results/train/hyperbola/problem_7750.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2d0361b08dc1722b099fece21084ba614333231
--- /dev/null
+++ b/results/train/hyperbola/problem_7750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37012d80c90a50ba9a564ac94bf96cb8ce9f808c02e2c80fb6504011537f3716
+size 254724
diff --git a/results/train/hyperbola/problem_7751.png b/results/train/hyperbola/problem_7751.png
new file mode 100644
index 0000000000000000000000000000000000000000..124028811fc9126339069ae045ddef218ac41623
--- /dev/null
+++ b/results/train/hyperbola/problem_7751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21bf49172a043698c2526e69978b18c3b87148d0128a9725190fda56096e82dd
+size 273236
diff --git a/results/train/hyperbola/problem_7754.png b/results/train/hyperbola/problem_7754.png
new file mode 100644
index 0000000000000000000000000000000000000000..b24845f18a4bf3971fe34057883b57b34f203b44
--- /dev/null
+++ b/results/train/hyperbola/problem_7754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46a0e1d6e035b5c8bea22d7c2b3c660effd5f189bab6002698bd5bff6bffea80
+size 275279
diff --git a/results/train/hyperbola/problem_7756.png b/results/train/hyperbola/problem_7756.png
new file mode 100644
index 0000000000000000000000000000000000000000..881f93233a2cb8e3d1af8829069c028bbb58b281
--- /dev/null
+++ b/results/train/hyperbola/problem_7756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8fa213e18d31d2fd60817ac507ce309095ee3216526ea7c5544cc2dd561023b
+size 278881
diff --git a/results/train/parabola/problem_0004.png b/results/train/parabola/problem_0004.png
new file mode 100644
index 0000000000000000000000000000000000000000..c068eeaabae32181a60a716e1c40493d08c8c72d
--- /dev/null
+++ b/results/train/parabola/problem_0004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:752880e9ab893b75c49e0b4b1f0641b023cf77d87b7222b61580edeaba6410ae
+size 187653
diff --git a/results/train/parabola/problem_0007.png b/results/train/parabola/problem_0007.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6c63838179795a0fcab21ef73e5f9a8808230cf
--- /dev/null
+++ b/results/train/parabola/problem_0007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef3d0eda0d823a3eac334359ad7db5921fb6ca2e60a7740a9f1948c37591ac48
+size 200554
diff --git a/results/train/parabola/problem_0010.png b/results/train/parabola/problem_0010.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6b260c2b32c0727194d01be8a98ada5a694ac32
--- /dev/null
+++ b/results/train/parabola/problem_0010.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c97ab9b7323fb46d10717d313e60847bc864771dcce332f585487230e602c41
+size 191094
diff --git a/results/train/parabola/problem_0011.png b/results/train/parabola/problem_0011.png
new file mode 100644
index 0000000000000000000000000000000000000000..a08eba35c3a5df3748f211b6a8b9add2ff7d1ce7
--- /dev/null
+++ b/results/train/parabola/problem_0011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d23dbf5df4f4c1b14c429a50498917be1f56dc61027e8f7022a2d662e724a00e
+size 187897
diff --git a/results/train/parabola/problem_0017.png b/results/train/parabola/problem_0017.png
new file mode 100644
index 0000000000000000000000000000000000000000..550be2ac84c9dd4acb526460d317629d687b5630
--- /dev/null
+++ b/results/train/parabola/problem_0017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b31d48adfd21d4db115e91f306e3c5785449bce4e4666621c792538f35d8863b
+size 181309
diff --git a/results/train/parabola/problem_0018.png b/results/train/parabola/problem_0018.png
new file mode 100644
index 0000000000000000000000000000000000000000..2793c571155cba25faafd07038c73a57b76f241a
--- /dev/null
+++ b/results/train/parabola/problem_0018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18f6b45fc2a607b5948f979362531a1565b8aa98b4c54411310adcb15feeec5d
+size 182866
diff --git a/results/train/parabola/problem_0024.png b/results/train/parabola/problem_0024.png
new file mode 100644
index 0000000000000000000000000000000000000000..b554024475209e6ccf1cca0b08133ddc6bd47fe8
--- /dev/null
+++ b/results/train/parabola/problem_0024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a51796e59466efc7b6b97f57156a58bce0d1a732043b420a01e3427e42db9af4
+size 191413
diff --git a/results/train/parabola/problem_0025.png b/results/train/parabola/problem_0025.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8e901ab16707fca40555688a16b77dbbcdd78cc
--- /dev/null
+++ b/results/train/parabola/problem_0025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff89af79b846b7be4f46ee01ffa6792e951c7b01c0a4b8b7d80d4703e93ae4b9
+size 199782
diff --git a/results/train/parabola/problem_0029.png b/results/train/parabola/problem_0029.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ee3d8785c351669bd3b11be7dd8e61e295f5bee
--- /dev/null
+++ b/results/train/parabola/problem_0029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4492012a7ed245193e61d083ac48581e0575fea56f60b6144dd1355bfb77c9f
+size 179976
diff --git a/results/train/parabola/problem_0030.png b/results/train/parabola/problem_0030.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b9bcfaa94d72a8d0610044b795e6be986f4529d
--- /dev/null
+++ b/results/train/parabola/problem_0030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c2ccfdfe90362d33c67744bf40a8a38474666c76f4aee57a077300998c59199
+size 196401
diff --git a/results/train/parabola/problem_0039.png b/results/train/parabola/problem_0039.png
new file mode 100644
index 0000000000000000000000000000000000000000..39285b82e41311132e76685f410d3bbc4b0629fb
--- /dev/null
+++ b/results/train/parabola/problem_0039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87b5bb3ff9e6ff6f49be40f1e05f777a3df8a05cde0e0705fba476998e862585
+size 160004
diff --git a/results/train/parabola/problem_0040.png b/results/train/parabola/problem_0040.png
new file mode 100644
index 0000000000000000000000000000000000000000..11fe1a35e6d6cafc5bff7b406451ce1dc54edba9
--- /dev/null
+++ b/results/train/parabola/problem_0040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e150ee2884a1ecfdafd316d3ebd0cd90f4577d89804f3ab72d793dea1a95ade
+size 197576
diff --git a/results/train/parabola/problem_0044.png b/results/train/parabola/problem_0044.png
new file mode 100644
index 0000000000000000000000000000000000000000..91876c12678bc4988d746b617010f11be8e6388a
--- /dev/null
+++ b/results/train/parabola/problem_0044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d42a373337eeaba31b158e157d965a4efb6fbdae4347fff06d4cc1588586616
+size 193284
diff --git a/results/train/parabola/problem_0045.png b/results/train/parabola/problem_0045.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3dadd99e4f4db2b5ea6923bad2259cd62f20e8d
--- /dev/null
+++ b/results/train/parabola/problem_0045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4cbb6b84b7088c8daf8dbd40cef4e7c343474e793e59d59ae16b0a117968e7f9
+size 192429
diff --git a/results/train/parabola/problem_0047.png b/results/train/parabola/problem_0047.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7f133ea2fcf91f6d9375cae839a6ee6fcb39182
--- /dev/null
+++ b/results/train/parabola/problem_0047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f408c25af58872ec258e366f5faa63e16faf6494de998203e54895460f0f3fc
+size 183008
diff --git a/results/train/parabola/problem_0055.png b/results/train/parabola/problem_0055.png
new file mode 100644
index 0000000000000000000000000000000000000000..c09fa174599b5cf7d0a1fb7ad300a291b6380b6f
--- /dev/null
+++ b/results/train/parabola/problem_0055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63ef7beaff841bfdb68788ce55bb2fb9f44421706e763d4f53e6a86ee366fd82
+size 202785
diff --git a/results/train/parabola/problem_0059.png b/results/train/parabola/problem_0059.png
new file mode 100644
index 0000000000000000000000000000000000000000..32d839935e9221843901feaa785b487aab47a1cd
--- /dev/null
+++ b/results/train/parabola/problem_0059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c4e4e536d0adddf2e0e421b5e6f826f543ce761b664094cf6b41c1f5232e7b4
+size 187527
diff --git a/results/train/parabola/problem_0062.png b/results/train/parabola/problem_0062.png
new file mode 100644
index 0000000000000000000000000000000000000000..b99aaa6974b0ed5cec2e7a549ab923d950efa405
--- /dev/null
+++ b/results/train/parabola/problem_0062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:413bd2193c2996111fd0d57aa9eeeccf59cc31aa7ebea38027e3ff4bc3210569
+size 180928
diff --git a/results/train/parabola/problem_0070.png b/results/train/parabola/problem_0070.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef08d5ef23ef9852de46298f5083cd91c2cf8a03
--- /dev/null
+++ b/results/train/parabola/problem_0070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e4dca61fd8f530977dfd4a50d543cbbf9132bdec95e5e8bab56058544ef7791
+size 197282
diff --git a/results/train/parabola/problem_0071.png b/results/train/parabola/problem_0071.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e90dc024bce6b1557277d818d10cd2ddb6241fd
--- /dev/null
+++ b/results/train/parabola/problem_0071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c6481c2cc0bfb017bad1150513dc64d79d9020d2e5b86dcc2da23542cb15b36
+size 188220
diff --git a/results/train/parabola/problem_0077.png b/results/train/parabola/problem_0077.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d1d6667a5f79bb6c702486a0549a1a9661285ed
--- /dev/null
+++ b/results/train/parabola/problem_0077.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2947af62164a3f8f2f8f56985643010cd3c7e189f8bef95c3eb81b6ddf744e34
+size 172412
diff --git a/results/train/parabola/problem_0081.png b/results/train/parabola/problem_0081.png
new file mode 100644
index 0000000000000000000000000000000000000000..82dcd393a8da680be31d9c4d71df72240d6c4c99
--- /dev/null
+++ b/results/train/parabola/problem_0081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0cb48c1e8027d6f57ce277b0043f41c388aab790c2c3939005fb5191d42d1880
+size 183638
diff --git a/results/train/parabola/problem_0088.png b/results/train/parabola/problem_0088.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f78f56e046a04c2932280cb367e20e981aded1b
--- /dev/null
+++ b/results/train/parabola/problem_0088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c38fad141f52ac6d0d7bdc87b9fbdaa9ee3d12cd1e6500a993b121139e0a3f9e
+size 190614
diff --git a/results/train/parabola/problem_0091.png b/results/train/parabola/problem_0091.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5f0fcddc6c0f004018ecb25ab0d800f57fa99dc
--- /dev/null
+++ b/results/train/parabola/problem_0091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:edc9153e350f6c49c920bf811a98a18c9273b575000f7ec250ef1fd56a487608
+size 192170
diff --git a/results/train/parabola/problem_0097.png b/results/train/parabola/problem_0097.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e1c826b7fc009c24e63836418a95e28406ebafb
--- /dev/null
+++ b/results/train/parabola/problem_0097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddc7c849c7cf0bc6a18a20dbc348fd5b5fdf49a3f372340708269365276f628a
+size 189985
diff --git a/results/train/parabola/problem_0098.png b/results/train/parabola/problem_0098.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a806a82ac134e95d0d6bf45df2fa307845780fa
--- /dev/null
+++ b/results/train/parabola/problem_0098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:915407112f5458e844f8b670d329f9197de9870c68e80b3417f6dd125cd13175
+size 185756
diff --git a/results/train/parabola/problem_0104.png b/results/train/parabola/problem_0104.png
new file mode 100644
index 0000000000000000000000000000000000000000..e740745aabaeec57dd2be930e92ed72666182582
--- /dev/null
+++ b/results/train/parabola/problem_0104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16c6cf02e6fafd9444838a1ca4119831713871579a0f7801147160c4b0188ab4
+size 188459
diff --git a/results/train/parabola/problem_0107.png b/results/train/parabola/problem_0107.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c9ee7d8974ea6f112f5c3a6fe343ba9c7c94e76
--- /dev/null
+++ b/results/train/parabola/problem_0107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:651d4858326cfb60049a00e81ba50d0a9e2f467861ad2b755aadb36263327fb5
+size 189525
diff --git a/results/train/parabola/problem_0108.png b/results/train/parabola/problem_0108.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dabcff256ce668bcb9d19b460fb0614569212d4
--- /dev/null
+++ b/results/train/parabola/problem_0108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dbfee1e5d826049c294fe6fa4dedbf3c6b22871d81516b5822363a559f803782
+size 182882
diff --git a/results/train/parabola/problem_0110.png b/results/train/parabola/problem_0110.png
new file mode 100644
index 0000000000000000000000000000000000000000..570ec5fb52505dc9eb53e699d8a6e5e810a296e3
--- /dev/null
+++ b/results/train/parabola/problem_0110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84b00373fecbca8d14c1c0a9e8fda9c9fdc55ba2b68dee985a3da98f67a583c5
+size 204971
diff --git a/results/train/parabola/problem_0111.png b/results/train/parabola/problem_0111.png
new file mode 100644
index 0000000000000000000000000000000000000000..7107dbc318c46533cb7305fc24adaa05b0bab1b7
--- /dev/null
+++ b/results/train/parabola/problem_0111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae2326cadcc4a4314b6605e477977420ecf41e0bbbcda451c39b24e06328ff98
+size 193590
diff --git a/results/train/parabola/problem_0121.png b/results/train/parabola/problem_0121.png
new file mode 100644
index 0000000000000000000000000000000000000000..db15990870a79366b2b7b481749fb439e150a449
--- /dev/null
+++ b/results/train/parabola/problem_0121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b327c6511a7a0a41c361b814bb5d7d04a10ea122f1c93ccd59176d717f8ee8df
+size 188578
diff --git a/results/train/parabola/problem_0124.png b/results/train/parabola/problem_0124.png
new file mode 100644
index 0000000000000000000000000000000000000000..929a824c8a8c65f60c5fafee4cb3f31f5466438b
--- /dev/null
+++ b/results/train/parabola/problem_0124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d56f20531e089c7e944c4a481595d3adeadc2d4a99005cffa71c68744638e332
+size 194938
diff --git a/results/train/parabola/problem_0125.png b/results/train/parabola/problem_0125.png
new file mode 100644
index 0000000000000000000000000000000000000000..60a0624248891011a749bfa0583a290bb2637726
--- /dev/null
+++ b/results/train/parabola/problem_0125.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2481d7badbc05547a9e92935ccfdc8cac328b8df8e98bec8fef8af4123806a22
+size 188337
diff --git a/results/train/parabola/problem_0126.png b/results/train/parabola/problem_0126.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ad85db020a9f69d6a5b33d30659a832518a9e31
--- /dev/null
+++ b/results/train/parabola/problem_0126.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e5c03817699b4855ca209553541ec96cc6cf949325bd23959de712c6697fc0c
+size 195322
diff --git a/results/train/parabola/problem_0127.png b/results/train/parabola/problem_0127.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8c1a4f94b7178674c6708aa6840181aeb440d81
--- /dev/null
+++ b/results/train/parabola/problem_0127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bccf04bb74f675f84c38de6624c87c65d902b0c52cb1d94db2bfc5c21d5d9c1
+size 198912
diff --git a/results/train/parabola/problem_0131.png b/results/train/parabola/problem_0131.png
new file mode 100644
index 0000000000000000000000000000000000000000..4348a08788bdb78b8e088c55c504d61e6dd5cd57
--- /dev/null
+++ b/results/train/parabola/problem_0131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bee631635efc1bb465846931322aabc03d1726a7832f86ab30c247efe0308832
+size 180121
diff --git a/results/train/parabola/problem_0132.png b/results/train/parabola/problem_0132.png
new file mode 100644
index 0000000000000000000000000000000000000000..813948ce8db0a604c33bbfc73a7d0647048acfb8
--- /dev/null
+++ b/results/train/parabola/problem_0132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a224444163f41b0625a948c04c5c11272d89e0a092987a6a3b0672b66dd62b63
+size 188631
diff --git a/results/train/parabola/problem_0135.png b/results/train/parabola/problem_0135.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6b15404555241ae63e8ba6d10d253bd9458f53b
--- /dev/null
+++ b/results/train/parabola/problem_0135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8cc6d0d41f6efb6e673cbc9c5283f5e9df890ca2c3aa7cd4465fe3c2e91e6ad0
+size 201663
diff --git a/results/train/parabola/problem_0142.png b/results/train/parabola/problem_0142.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c79a869ccdeae47161fd4ced1341ad5a2d47623
--- /dev/null
+++ b/results/train/parabola/problem_0142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59ab0f85a50520d51d2cde6a1fe3fec0806bfc30cfe871b1577b4201d33ba88f
+size 181401
diff --git a/results/train/parabola/problem_0145.png b/results/train/parabola/problem_0145.png
new file mode 100644
index 0000000000000000000000000000000000000000..71983c0c6cfdc5f35dad20db608b88b9ffb906d0
--- /dev/null
+++ b/results/train/parabola/problem_0145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74702e51b2fdafe34f679c84986aae7c0565e59b17645bde1c84fb614971dbbf
+size 188770
diff --git a/results/train/parabola/problem_0152.png b/results/train/parabola/problem_0152.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cdae3f7118409e744289212e515236d735f48c7
--- /dev/null
+++ b/results/train/parabola/problem_0152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ba8464dc3683a97b4069b9e77e94a087489faebd6f20383f3c9c9ec75914e3f
+size 197472
diff --git a/results/train/parabola/problem_0155.png b/results/train/parabola/problem_0155.png
new file mode 100644
index 0000000000000000000000000000000000000000..a20bc1de10b672119467c351a253d7b70f5469a1
--- /dev/null
+++ b/results/train/parabola/problem_0155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:260cee70a742148fdf82617a251481df7efe0117a5bd2ed30e5302e807f01609
+size 206501
diff --git a/results/train/parabola/problem_0157.png b/results/train/parabola/problem_0157.png
new file mode 100644
index 0000000000000000000000000000000000000000..7816c46823ce8c0f29e8ebd3f73bb0cebf142211
--- /dev/null
+++ b/results/train/parabola/problem_0157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a6a1610c724a2e1479d4832ff352971e3ace087004e813880dd799bee873250
+size 186732
diff --git a/results/train/parabola/problem_0164.png b/results/train/parabola/problem_0164.png
new file mode 100644
index 0000000000000000000000000000000000000000..714aa34924c55cc058353f0f6ea2e82bf0f7521b
--- /dev/null
+++ b/results/train/parabola/problem_0164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9b990369c352e217b02fb43b60a20d2d45061d2eb38951aa0ee2f0478e7d229
+size 181911
diff --git a/results/train/parabola/problem_0166.png b/results/train/parabola/problem_0166.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e45c5b03ea97516427a9c1bca6e20250f1ac508
--- /dev/null
+++ b/results/train/parabola/problem_0166.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cedabf1698cc87cbb937173a10d24d324e4d87a259c3024425a924bc036f504e
+size 190118
diff --git a/results/train/parabola/problem_0178.png b/results/train/parabola/problem_0178.png
new file mode 100644
index 0000000000000000000000000000000000000000..c66f1ef26d708f5490e16b1a2844c4d0f00e0c4e
--- /dev/null
+++ b/results/train/parabola/problem_0178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91164c74bbdd0bfb53588b2c1172d568b079275179704990faa9ace46026ceba
+size 162139
diff --git a/results/train/parabola/problem_0179.png b/results/train/parabola/problem_0179.png
new file mode 100644
index 0000000000000000000000000000000000000000..e110d9c11c69ccde49aea40526c3d1537f14cf97
--- /dev/null
+++ b/results/train/parabola/problem_0179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69587788b77c404d803f076cab97f782016a99821c1e16856c33fd234ab6a221
+size 188002
diff --git a/results/train/parabola/problem_0186.png b/results/train/parabola/problem_0186.png
new file mode 100644
index 0000000000000000000000000000000000000000..9739f205fbdef2a2bf91ce77f6b425c94f924606
--- /dev/null
+++ b/results/train/parabola/problem_0186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bfe81bf7ded9d45572d6282148d8abd8f656b07f87bbc2e03bf5b7f10b551ad
+size 188960
diff --git a/results/train/parabola/problem_0191.png b/results/train/parabola/problem_0191.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeb8d92cd18c6823e57bba4b9d271f652ed4e366
--- /dev/null
+++ b/results/train/parabola/problem_0191.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12823403fcfc19b6c39fe6077b06b78f3e6abb821a08639ed61484236e76560f
+size 149029
diff --git a/results/train/parabola/problem_0195.png b/results/train/parabola/problem_0195.png
new file mode 100644
index 0000000000000000000000000000000000000000..a264e65b3b90cde4f8a9a6b6f355235640181960
--- /dev/null
+++ b/results/train/parabola/problem_0195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d7365d6ff8dc7459d8b26b6cf76269257243463058beac1c5fc08cbfd9e7d8b0
+size 196097
diff --git a/results/train/parabola/problem_0196.png b/results/train/parabola/problem_0196.png
new file mode 100644
index 0000000000000000000000000000000000000000..aeb1689f58a47f6458b5f3cee94fb5116424133c
--- /dev/null
+++ b/results/train/parabola/problem_0196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6dd63c0c2bcca00ee105950c010f256566d44831c153ddafa35d535179da35a1
+size 190548
diff --git a/results/train/parabola/problem_0198.png b/results/train/parabola/problem_0198.png
new file mode 100644
index 0000000000000000000000000000000000000000..857dbbb720c68a40d845d95f327e2c27dc52508d
--- /dev/null
+++ b/results/train/parabola/problem_0198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dee8416149966c3e5c8d38ebc3538395230bf8431cf9650bd8314bce008bf9b2
+size 199743
diff --git a/results/train/parabola/problem_0205.png b/results/train/parabola/problem_0205.png
new file mode 100644
index 0000000000000000000000000000000000000000..9edac0009922ad6cfc59e9b20230d0cce6f50d1d
--- /dev/null
+++ b/results/train/parabola/problem_0205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a2e1ed8e50749eee6afb557b5be7daa5888f3f4427566830369c8ec4f065077
+size 184163
diff --git a/results/train/parabola/problem_0206.png b/results/train/parabola/problem_0206.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d5757c75304c65e37a83da722d4b14d5396262c
--- /dev/null
+++ b/results/train/parabola/problem_0206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94037ec3ccbe70be6bd10c51e5ff2bda31cc0ac3b0cb9f0a38d0c5d632b03e01
+size 191049
diff --git a/results/train/parabola/problem_0208.png b/results/train/parabola/problem_0208.png
new file mode 100644
index 0000000000000000000000000000000000000000..9af6006d8eb172ee2e003b533909385f749b4038
--- /dev/null
+++ b/results/train/parabola/problem_0208.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37814796c4d9ee76b902adf07916745955241a5a4993614a8c4e4a5b5b3647fd
+size 188482
diff --git a/results/train/parabola/problem_0209.png b/results/train/parabola/problem_0209.png
new file mode 100644
index 0000000000000000000000000000000000000000..5849b024730c0ecd233101b9de7c5952b4530bdc
--- /dev/null
+++ b/results/train/parabola/problem_0209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0552478150b1af8beaffab5fd69535a71ef02d11cf02072d0b599b76ccf9607a
+size 182517
diff --git a/results/train/parabola/problem_0210.png b/results/train/parabola/problem_0210.png
new file mode 100644
index 0000000000000000000000000000000000000000..3666717da421b6d2b2a6441c8893fdfb0b418d15
--- /dev/null
+++ b/results/train/parabola/problem_0210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fc7cc52b694073c92ded7554bb13dc4d04b249b303783d6931dc479ed9c246c
+size 197934
diff --git a/results/train/parabola/problem_0214.png b/results/train/parabola/problem_0214.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3891b341f7bd00cb72873b6b89e9423a0bb69fd
--- /dev/null
+++ b/results/train/parabola/problem_0214.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3640b967360b5417305da8642a924f6940e3c64e4c96f48301c825b485977dd6
+size 185678
diff --git a/results/train/parabola/problem_0216.png b/results/train/parabola/problem_0216.png
new file mode 100644
index 0000000000000000000000000000000000000000..e22f8223921ec300ca9b4ccb64bc5234161d7c2f
--- /dev/null
+++ b/results/train/parabola/problem_0216.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db8789aadc29c9c0d5ad2d80e55aa255e299e9505a2685a608e8d5b7dc35dfd4
+size 184913
diff --git a/results/train/parabola/problem_0225.png b/results/train/parabola/problem_0225.png
new file mode 100644
index 0000000000000000000000000000000000000000..93767ffe494133d14af856e68a33bc593d1f2295
--- /dev/null
+++ b/results/train/parabola/problem_0225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45c005f8f077738e9cfa7e81b760be2c09c02380150fb43a0abc2e4a38303f52
+size 184528
diff --git a/results/train/parabola/problem_0227.png b/results/train/parabola/problem_0227.png
new file mode 100644
index 0000000000000000000000000000000000000000..488ee9f65fe9d8a930d1263d624c5f680a5c2750
--- /dev/null
+++ b/results/train/parabola/problem_0227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0401319d6249e38e51b2cc0a7942426c472a021d9206968fa6c4610e4babc94
+size 188897
diff --git a/results/train/parabola/problem_0229.png b/results/train/parabola/problem_0229.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ca03e853d1a785171274f96564ef6c629ef886b
--- /dev/null
+++ b/results/train/parabola/problem_0229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78710d1e10b60a3ebeb92ffa833ef005686d0116b50f80e0fd26d4877ad1920a
+size 188031
diff --git a/results/train/parabola/problem_0240.png b/results/train/parabola/problem_0240.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a99e90f46a640797c6d449dec476915a3862edc
--- /dev/null
+++ b/results/train/parabola/problem_0240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59e5f54b44d9d61bcd97f86e60c7b73a6d1d892813237d34312441116bc03b8c
+size 176907
diff --git a/results/train/parabola/problem_0243.png b/results/train/parabola/problem_0243.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe3c7e20106e200a785e5d66e2f7e7fb5c595944
--- /dev/null
+++ b/results/train/parabola/problem_0243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9886d29f20c7a662dc838e8b31f703004d79c12e6e6d46791ead8c3524f0bd4
+size 188368
diff --git a/results/train/parabola/problem_0244.png b/results/train/parabola/problem_0244.png
new file mode 100644
index 0000000000000000000000000000000000000000..19f1e33f50eb4baa4d9ffa08969b4ec31969a607
--- /dev/null
+++ b/results/train/parabola/problem_0244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a086b92008ebb0f8a9e72db3c5a90f17978c161f9b69ea657ad6ffc6a5a5e65
+size 185604
diff --git a/results/train/parabola/problem_0245.png b/results/train/parabola/problem_0245.png
new file mode 100644
index 0000000000000000000000000000000000000000..69e15d16e66cbdbbee042c5d05dcbfc91d675954
--- /dev/null
+++ b/results/train/parabola/problem_0245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3287cd4ab916520d76ad425955111e7284fafced3df4cc315fdfbc658fb99764
+size 186962
diff --git a/results/train/parabola/problem_0248.png b/results/train/parabola/problem_0248.png
new file mode 100644
index 0000000000000000000000000000000000000000..df52509ecadf8dd511d57ca956fec077dcf6240e
--- /dev/null
+++ b/results/train/parabola/problem_0248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70a2dd23e9cb1ce1fb7c43200bf14f1cbf45fedf9373d3e79377e49c6116163a
+size 194227
diff --git a/results/train/parabola/problem_0252.png b/results/train/parabola/problem_0252.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c1c325b0390812ec87b4842247bb25deab3e680
--- /dev/null
+++ b/results/train/parabola/problem_0252.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:533106ec4ef7c17bbfdeecad001b549560b59a5a00b1ba640ed41bfb83f33e66
+size 189913
diff --git a/results/train/parabola/problem_0256.png b/results/train/parabola/problem_0256.png
new file mode 100644
index 0000000000000000000000000000000000000000..4815a857410cbe545bbb40a2c47a91afbf26e6b8
--- /dev/null
+++ b/results/train/parabola/problem_0256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b225f75c7a727f43e793e4b6dde45dba35d9f99901e12a82f0e8efe780726427
+size 148939
diff --git a/results/train/parabola/problem_0261.png b/results/train/parabola/problem_0261.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a3d729a8dd2fec212c608f589d2bccdf5099bf6
--- /dev/null
+++ b/results/train/parabola/problem_0261.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59d53ca842e639da1ac69c962ce3ae58484ca79052626b6d39d2a26d76d32a7c
+size 179267
diff --git a/results/train/parabola/problem_0267.png b/results/train/parabola/problem_0267.png
new file mode 100644
index 0000000000000000000000000000000000000000..54d2667422c3c908b5923706d3a880000e31c4fc
--- /dev/null
+++ b/results/train/parabola/problem_0267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3c1e8fa67caaa851bff7ec752a534071dbf09d14b905a11fbc6be1a53e36b87
+size 194506
diff --git a/results/train/parabola/problem_0272.png b/results/train/parabola/problem_0272.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd03ef8b0bafcee38163afcadba76dedf84486df
--- /dev/null
+++ b/results/train/parabola/problem_0272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9e3fc5304020366e6e92e8ab9e4a06ab66d79efdd67b4c01d85b7b6ca3bfe74
+size 188796
diff --git a/results/train/parabola/problem_0274.png b/results/train/parabola/problem_0274.png
new file mode 100644
index 0000000000000000000000000000000000000000..3987f85030b621b70d760425a75502cc47591661
--- /dev/null
+++ b/results/train/parabola/problem_0274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c89a6dac6634b97098ba7fdee56ae6bb80a52aaad71051319a2694b806b51e18
+size 203393
diff --git a/results/train/parabola/problem_0275.png b/results/train/parabola/problem_0275.png
new file mode 100644
index 0000000000000000000000000000000000000000..07cc7665ca2f0a0532671a9094cac9fcd2a37f05
--- /dev/null
+++ b/results/train/parabola/problem_0275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f44994cdc94cc69af7c1d20b1b315f69f4634dea7e1c0e2abd1ed63b09bb584c
+size 201229
diff --git a/results/train/parabola/problem_0279.png b/results/train/parabola/problem_0279.png
new file mode 100644
index 0000000000000000000000000000000000000000..841c2af9c49eb43f3f8560902cd6e7db2d295cea
--- /dev/null
+++ b/results/train/parabola/problem_0279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3e9675eb081abb1942beba8c7931da8fc20f34ebadd7f6e09aa48f864fe16ff
+size 199511
diff --git a/results/train/parabola/problem_0291.png b/results/train/parabola/problem_0291.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b9ed3710c7621382fcd6c146f707a2d70f81c94
--- /dev/null
+++ b/results/train/parabola/problem_0291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d5d9e9497081f27b1cc5c1ed9cb4f5beef0d5d3d09e4ef9af024ef0b31795c1
+size 186164
diff --git a/results/train/parabola/problem_0292.png b/results/train/parabola/problem_0292.png
new file mode 100644
index 0000000000000000000000000000000000000000..168b86dac93eea8487ddc735a2d6cd95002f192f
--- /dev/null
+++ b/results/train/parabola/problem_0292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9da115639017f21ca9e9d8ef86711d0be38db4c1b5f99c076379cc1ad48aeb9
+size 196341
diff --git a/results/train/parabola/problem_0294.png b/results/train/parabola/problem_0294.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f60ae7ed3d5c502cfb07d4e4c04bb107942eb72
--- /dev/null
+++ b/results/train/parabola/problem_0294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:156c014d9cef0f0822bc0cd441e5eafa56eddff56bc5fde8b5aa805a0bd714e6
+size 187870
diff --git a/results/train/parabola/problem_0296.png b/results/train/parabola/problem_0296.png
new file mode 100644
index 0000000000000000000000000000000000000000..95a3626ded63f46d05f7b014de72532ab68bdc09
--- /dev/null
+++ b/results/train/parabola/problem_0296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb7272a98e6207df8f182f6accd51d76462a6c9e508c14b108116fa4b6e55461
+size 204883
diff --git a/results/train/parabola/problem_0297.png b/results/train/parabola/problem_0297.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ce5aa8f1e16bdade413baaa3980798abe29d211
--- /dev/null
+++ b/results/train/parabola/problem_0297.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5265eb940a1dc95b83ccecab5f5ce43c74a96d49e31b78603b344726c57ba74
+size 187322
diff --git a/results/train/parabola/problem_0298.png b/results/train/parabola/problem_0298.png
new file mode 100644
index 0000000000000000000000000000000000000000..7727c8ed4f29db0af5057bc4d2caf6414ae2d916
--- /dev/null
+++ b/results/train/parabola/problem_0298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7767d0379e64ec03b23b74896474e1a6a7c27af1c8413408e3365a84281b6570
+size 187633
diff --git a/results/train/parabola/problem_0300.png b/results/train/parabola/problem_0300.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf459b4f3827f8a25841d144c76f6a307a1fcecf
--- /dev/null
+++ b/results/train/parabola/problem_0300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbfdcb450764aac15f108a2bc9a0e97ac185cef9bfdc368d3036dff3996d6a3c
+size 186190
diff --git a/results/train/parabola/problem_0303.png b/results/train/parabola/problem_0303.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c099cc76f865da7eb8c44d0b909ff3075cbe2a9
--- /dev/null
+++ b/results/train/parabola/problem_0303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f16accc2c3696169e1b7169e8b08b41fc7585f66cd54a2108f73b1b4276d078c
+size 179621
diff --git a/results/train/parabola/problem_0314.png b/results/train/parabola/problem_0314.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0827aff117a18a6d7077f496062d8d35aa412f5
--- /dev/null
+++ b/results/train/parabola/problem_0314.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74891c6a37dcf4b1ac7d12b94552997c5203474b57ca7aaef21f6be5562a981f
+size 186643
diff --git a/results/train/parabola/problem_0324.png b/results/train/parabola/problem_0324.png
new file mode 100644
index 0000000000000000000000000000000000000000..bbc401d553af21044cc4e1fafede7dc3b79dbc93
--- /dev/null
+++ b/results/train/parabola/problem_0324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a099a5084b3af17ef30f8700d94fffd6b78dd16b767e8742b2b664953478952b
+size 196538
diff --git a/results/train/parabola/problem_0334.png b/results/train/parabola/problem_0334.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3925140f956c32d28cc7652e1182d91b5946e14
--- /dev/null
+++ b/results/train/parabola/problem_0334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4ddee95c14cb2f5128a74362a1134fcbaa0a012b3227991b93a695bceb02c55
+size 187913
diff --git a/results/train/parabola/problem_0339.png b/results/train/parabola/problem_0339.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee8a1dd35d7fd731ddc4bdb362232906ebb8d87f
--- /dev/null
+++ b/results/train/parabola/problem_0339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75cb5852b9c027bcbedbbf917af76742fb7aefd99e6df0698000446522ab093d
+size 195356
diff --git a/results/train/parabola/problem_0345.png b/results/train/parabola/problem_0345.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf645495d82c6ae71de38a95e592cd7a6ca37aa4
--- /dev/null
+++ b/results/train/parabola/problem_0345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d8f4be25a2487fd2d78691a38716f2adf7896c1c77eaf01c2ed0483353842c0
+size 190723
diff --git a/results/train/parabola/problem_0350.png b/results/train/parabola/problem_0350.png
new file mode 100644
index 0000000000000000000000000000000000000000..b19e920e9b7223c1766bc208d4122fe52dd61bc9
--- /dev/null
+++ b/results/train/parabola/problem_0350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f169cffcff6ba15ce922f3451dc4452c1bc709de8cbb27c4c7b1ab4bd120c51
+size 195270
diff --git a/results/train/parabola/problem_0356.png b/results/train/parabola/problem_0356.png
new file mode 100644
index 0000000000000000000000000000000000000000..914315a570303214b8763468faf937aa5ed0c7cd
--- /dev/null
+++ b/results/train/parabola/problem_0356.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f16613d1b38a1342bbf68f0f22d73cc53e991bc90e19fd01f072c43eb8ddc519
+size 186131
diff --git a/results/train/parabola/problem_0359.png b/results/train/parabola/problem_0359.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d826e5527c419bbe8fd7f3227fca8101d4642c1
--- /dev/null
+++ b/results/train/parabola/problem_0359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:65f08d7033c6dcc6aa3398868c433028e7a7a9029fe64068c025b827f4349643
+size 194269
diff --git a/results/train/parabola/problem_0361.png b/results/train/parabola/problem_0361.png
new file mode 100644
index 0000000000000000000000000000000000000000..051aba286f8b766213df495c6a39d70ce2afaebe
--- /dev/null
+++ b/results/train/parabola/problem_0361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:247057c1a5796f74e8052d6bf3c425ddc9e0d39b8825449515def762b209fd19
+size 203645
diff --git a/results/train/parabola/problem_0363.png b/results/train/parabola/problem_0363.png
new file mode 100644
index 0000000000000000000000000000000000000000..db4ac8765d30ff506ad2eabfbed379b535161a76
--- /dev/null
+++ b/results/train/parabola/problem_0363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50bf680b19adb4b01d593fdd564e19ca060f87fc98af8fb81ebee241a04f11f3
+size 197793
diff --git a/results/train/parabola/problem_0364.png b/results/train/parabola/problem_0364.png
new file mode 100644
index 0000000000000000000000000000000000000000..a72d4c283af0e49f434eddf1871d7635847a84c8
--- /dev/null
+++ b/results/train/parabola/problem_0364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:122aadd96e38e45c5cc0fced5f1f0498c69f33c96cac3aabeae7e85074020e46
+size 170824
diff --git a/results/train/parabola/problem_0369.png b/results/train/parabola/problem_0369.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b5f51998f54c2be27a58888c054e5a10345fbda
--- /dev/null
+++ b/results/train/parabola/problem_0369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc20d0dcd302b403173d109096c51ef29d00f86b0f3e233e6ba459312f3eb0db
+size 200284
diff --git a/results/train/parabola/problem_0370.png b/results/train/parabola/problem_0370.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef11e821d65bd07b0a91b0937e1d2fa115d42958
--- /dev/null
+++ b/results/train/parabola/problem_0370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c0d1462c0882fc8f0812d23634f9be9602e2cc6e88f38a0c66e1b3fa91e1043
+size 162633
diff --git a/results/train/parabola/problem_0375.png b/results/train/parabola/problem_0375.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad87d4a0c30a0935684933d1cc15eebd99e61d82
--- /dev/null
+++ b/results/train/parabola/problem_0375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fb42079588786fbb0d0170f413cf7f53e296509f71c706299bff6b0087db105
+size 189473
diff --git a/results/train/parabola/problem_0381.png b/results/train/parabola/problem_0381.png
new file mode 100644
index 0000000000000000000000000000000000000000..239661e3df139502e3deab157776d77f36a59163
--- /dev/null
+++ b/results/train/parabola/problem_0381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa98945f2d64e60a58f2be006605f7d828479dd1b447b50bdcd3a3039b907208
+size 196988
diff --git a/results/train/parabola/problem_0390.png b/results/train/parabola/problem_0390.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c3995efcce80cc457b01e12c3b8fef9c69d2bda
--- /dev/null
+++ b/results/train/parabola/problem_0390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d3311bde23610d057d9e1d35aebc595f8543a2d846d35c1e69a2f9e30eb613c
+size 204120
diff --git a/results/train/parabola/problem_0395.png b/results/train/parabola/problem_0395.png
new file mode 100644
index 0000000000000000000000000000000000000000..db6cc66151190777a5b11aec8dde1f495295579b
--- /dev/null
+++ b/results/train/parabola/problem_0395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa41038724f42881c76b6ae34fc68e8e58f27d0b1c7a038f23a0a57d1c1b4f78
+size 184888
diff --git a/results/train/parabola/problem_0403.png b/results/train/parabola/problem_0403.png
new file mode 100644
index 0000000000000000000000000000000000000000..63f86fad2f18ec409f0b0cc88da3df4494c55685
--- /dev/null
+++ b/results/train/parabola/problem_0403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0242f6d4779087f082b1f3701e97cd61cbeee58efbdb0d58c05ec41468665245
+size 210864
diff --git a/results/train/parabola/problem_0405.png b/results/train/parabola/problem_0405.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c88b91940e67592bcfa705bab5096ffc5b75f0e
--- /dev/null
+++ b/results/train/parabola/problem_0405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dabb0add9f7971a6fd815facd049a3882e7242e17e7292c7f7a015612a3231c
+size 192208
diff --git a/results/train/parabola/problem_0407.png b/results/train/parabola/problem_0407.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b0770d7f4664020ce35312719813ecedc8f6fac
--- /dev/null
+++ b/results/train/parabola/problem_0407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b34dfb751a06c7001b0e9d81210265fbe0456ed16caa601d8ca26d78b4ede1c6
+size 190003
diff --git a/results/train/parabola/problem_0409.png b/results/train/parabola/problem_0409.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc0cff743f00e6bb1a1bb47384c94bf75906297c
--- /dev/null
+++ b/results/train/parabola/problem_0409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2de3feec33ce677c005e57874d08c1714bc4d86c30c56c2340923904e035e401
+size 182238
diff --git a/results/train/parabola/problem_0411.png b/results/train/parabola/problem_0411.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a73fc44f69545e9be7810a6c51dd9e6378d6d75
--- /dev/null
+++ b/results/train/parabola/problem_0411.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad5479099ca238e25faa6f7c1f6a31694e4efd984c38b23b09cb3c84f893dff7
+size 197965
diff --git a/results/train/parabola/problem_0417.png b/results/train/parabola/problem_0417.png
new file mode 100644
index 0000000000000000000000000000000000000000..dda4a9c7af826464b5d02ade294d4504835adaa1
--- /dev/null
+++ b/results/train/parabola/problem_0417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:837ac1743fb90862e9423862d39f3ecb816dfe50d12b3128828c4ed1c6de2083
+size 182990
diff --git a/results/train/parabola/problem_0419.png b/results/train/parabola/problem_0419.png
new file mode 100644
index 0000000000000000000000000000000000000000..48cf633d9a0164481d06f6be9a33c2d8fb38942b
--- /dev/null
+++ b/results/train/parabola/problem_0419.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c77ad8f1f48d66ef8ddec3eacffea9d41e95ac76be050612de2c19423a60efaa
+size 188593
diff --git a/results/train/parabola/problem_0420.png b/results/train/parabola/problem_0420.png
new file mode 100644
index 0000000000000000000000000000000000000000..76212534317831a536c24bc3741a9a0cf6c39192
--- /dev/null
+++ b/results/train/parabola/problem_0420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:853ae5fca3abba72a43644e9b5a9e13d99d0d77df76cc9ffc4b493980433829f
+size 183590
diff --git a/results/train/parabola/problem_0422.png b/results/train/parabola/problem_0422.png
new file mode 100644
index 0000000000000000000000000000000000000000..89f07a5c09d9b464081271abcff53040bba3e801
--- /dev/null
+++ b/results/train/parabola/problem_0422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b75fe657498d61f4c412c0bb57fd852792265d7fc71d66b80524ce824fa3eeeb
+size 193420
diff --git a/results/train/parabola/problem_0423.png b/results/train/parabola/problem_0423.png
new file mode 100644
index 0000000000000000000000000000000000000000..934cedba3c922bd5440590649c59f1fda2ada7a7
--- /dev/null
+++ b/results/train/parabola/problem_0423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:841c137de59895d49fa28437fc779ad3988d86a0490750dd1bf63dc714016730
+size 210443
diff --git a/results/train/parabola/problem_0424.png b/results/train/parabola/problem_0424.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5a5ab1593bb065747f30c63bbf121a09fd41204
--- /dev/null
+++ b/results/train/parabola/problem_0424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d121c9cabb4c8bc1a4a093454d5d358ba961a18fe7f2dd8ede06eeab30bb808
+size 173541
diff --git a/results/train/parabola/problem_0425.png b/results/train/parabola/problem_0425.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e4255596bbdc9d383e6a8de9a889851a40eb445
--- /dev/null
+++ b/results/train/parabola/problem_0425.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8c4e830a46ee292e181a93d993ddbd2fe58ffdafd03a9ff08c66f9acac7c98f
+size 187086
diff --git a/results/train/parabola/problem_0428.png b/results/train/parabola/problem_0428.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f4f34c2af09145d36f5948cc456688bf85355bf
--- /dev/null
+++ b/results/train/parabola/problem_0428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a257cd4231de091dba99db972b37d624d055a5f7617adf54f065cb6bc6d1c500
+size 182817
diff --git a/results/train/parabola/problem_0441.png b/results/train/parabola/problem_0441.png
new file mode 100644
index 0000000000000000000000000000000000000000..76abcc8481c64cc733074c37bba0eae853a93c60
--- /dev/null
+++ b/results/train/parabola/problem_0441.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5bd9f7aa2e71fea8e3738c3307cdf00fcfa7f376e4172d3b8468268d6c7c13d
+size 199155
diff --git a/results/train/parabola/problem_0443.png b/results/train/parabola/problem_0443.png
new file mode 100644
index 0000000000000000000000000000000000000000..810c5467019bdad13b7e86d2d2110a2d5018cf83
--- /dev/null
+++ b/results/train/parabola/problem_0443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e48df77e413344e6bb60b60ca4a4095dcfa5a9f8b29c70fc38ad8a59ad74e999
+size 203295
diff --git a/results/train/parabola/problem_0447.png b/results/train/parabola/problem_0447.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f84443ee308ce3ce07fa7268fc045e8a49e6e3c
--- /dev/null
+++ b/results/train/parabola/problem_0447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79c8f1f94e1da5f002b931571433626711464ecbe857f15b1c2453e7bb688fcc
+size 191637
diff --git a/results/train/parabola/problem_0449.png b/results/train/parabola/problem_0449.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0b0fd3e864bce32ef053ec9820fecef850a96c7
--- /dev/null
+++ b/results/train/parabola/problem_0449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b78a70b841e189c4aa8c340e866c6b2caa37900abe7cce907d19cf5ec6af389c
+size 180049
diff --git a/results/train/parabola/problem_0460.png b/results/train/parabola/problem_0460.png
new file mode 100644
index 0000000000000000000000000000000000000000..ccbba6ab4054d63aea7d692017e87e5b37bd0b1e
--- /dev/null
+++ b/results/train/parabola/problem_0460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ab0db620afb4b2d53240238edbb65dd53dbd3c22d08644c90f8c2ca7b7eeac8
+size 187307
diff --git a/results/train/parabola/problem_0466.png b/results/train/parabola/problem_0466.png
new file mode 100644
index 0000000000000000000000000000000000000000..d36ed1d1dec94a2d7a2f563f01309ca224790487
--- /dev/null
+++ b/results/train/parabola/problem_0466.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc8c360f39c3b839ff22a12f74136930cb5af2538395b13523ebb67e35eee52d
+size 199841
diff --git a/results/train/parabola/problem_0469.png b/results/train/parabola/problem_0469.png
new file mode 100644
index 0000000000000000000000000000000000000000..09445a2943a7471a3a78af1f1b58bf452bf63cd3
--- /dev/null
+++ b/results/train/parabola/problem_0469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1bb0fcd99abf5b7302b5cd6bc12a31c079a8b91728379065e691a592997f837
+size 190920
diff --git a/results/train/parabola/problem_0471.png b/results/train/parabola/problem_0471.png
new file mode 100644
index 0000000000000000000000000000000000000000..433d10a1e52c91c6f9df378d7085ba700330b647
--- /dev/null
+++ b/results/train/parabola/problem_0471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe3964ade2afa1cfae956a4fa452a1b716e41b09c7b8a221c1f5669c9b4f4652
+size 189636
diff --git a/results/train/parabola/problem_0475.png b/results/train/parabola/problem_0475.png
new file mode 100644
index 0000000000000000000000000000000000000000..4981b14f768bbc547c627328b70f701fc8ba170a
--- /dev/null
+++ b/results/train/parabola/problem_0475.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:231f8c4adfc87ab230aaf979c2aebb0f7c654b6197d9088c27a08df37fdd6dbe
+size 185946
diff --git a/results/train/parabola/problem_0478.png b/results/train/parabola/problem_0478.png
new file mode 100644
index 0000000000000000000000000000000000000000..c958388ab88d9845612cf11b4ca463c4bc023f8e
--- /dev/null
+++ b/results/train/parabola/problem_0478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b10cc9c74d0e448c8bef1b277330a27697dbb928396a89246e64986ad9b44be
+size 181358
diff --git a/results/train/parabola/problem_0482.png b/results/train/parabola/problem_0482.png
new file mode 100644
index 0000000000000000000000000000000000000000..91f198ecce13c2603af62e6bd2aeeee682f77a80
--- /dev/null
+++ b/results/train/parabola/problem_0482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fb7db67fe89b8bde9d8ab41ffd84196efea6533987dc4c9ccce1d1523e1312c
+size 153594
diff --git a/results/train/parabola/problem_0486.png b/results/train/parabola/problem_0486.png
new file mode 100644
index 0000000000000000000000000000000000000000..8966dbffbf506f3358c77076547aad2c31ac5c23
--- /dev/null
+++ b/results/train/parabola/problem_0486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93d9c4ee9abf2e96ef33689153394a380b296bfcea0b2a120b99c9e33d5ad948
+size 184941
diff --git a/results/train/parabola/problem_0494.png b/results/train/parabola/problem_0494.png
new file mode 100644
index 0000000000000000000000000000000000000000..06647c53e974065197cfcbfea1138fb504f2f6f0
--- /dev/null
+++ b/results/train/parabola/problem_0494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:307af4f4be7c325bed57fdabb9e2ba61ba9e48663a5ffc891d973dc790965958
+size 182743
diff --git a/results/train/parabola/problem_0498.png b/results/train/parabola/problem_0498.png
new file mode 100644
index 0000000000000000000000000000000000000000..24feef19bbdaf778fb054c13aad827abd502aaae
--- /dev/null
+++ b/results/train/parabola/problem_0498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3dd70cc0bc439cf2b59aa9959b041b363d848dee34fcb44bdb8baeefbdc2aec7
+size 189522
diff --git a/results/train/parabola/problem_0501.png b/results/train/parabola/problem_0501.png
new file mode 100644
index 0000000000000000000000000000000000000000..13b136bab88a1b679de30f9a1e070828ef2541a5
--- /dev/null
+++ b/results/train/parabola/problem_0501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dcedba70d47f07426d07921184ea147c2a6159ba0d0b6f4a55fce5686d027ff
+size 204050
diff --git a/results/train/parabola/problem_0502.png b/results/train/parabola/problem_0502.png
new file mode 100644
index 0000000000000000000000000000000000000000..62d8385336a8934970f9145a3189f6aae9797fc5
--- /dev/null
+++ b/results/train/parabola/problem_0502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c79001be2e738e7dd10933f27d81184fcd77e67193122f20083e834b8b482c56
+size 193906
diff --git a/results/train/parabola/problem_0505.png b/results/train/parabola/problem_0505.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5f19b90551cc3609f89e7b5c4f377ea5b36902d
--- /dev/null
+++ b/results/train/parabola/problem_0505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:395f2cc837edc8c09476e0d20546f3255419831e17022a4c2f941f1c67faab52
+size 189599
diff --git a/results/train/parabola/problem_0526.png b/results/train/parabola/problem_0526.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e4dbf2bc44cfae5fb386d1d4906d9fb14853fc5
--- /dev/null
+++ b/results/train/parabola/problem_0526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3e525cb2152754c142cb7dfef0d7810f5401479657aa8432bf6e893b064aaaf
+size 178450
diff --git a/results/train/parabola/problem_0528.png b/results/train/parabola/problem_0528.png
new file mode 100644
index 0000000000000000000000000000000000000000..656f590a833732d4069a846a00dc070d4ae2e2c6
--- /dev/null
+++ b/results/train/parabola/problem_0528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc1cda6897dd2f3151f964e27bccf3d9b09a2a9f5b8d0fa06212ac4ef5039371
+size 190833
diff --git a/results/train/parabola/problem_0540.png b/results/train/parabola/problem_0540.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b49b3c5ee65d22c3a73b10b71c759b6bde7d32f
--- /dev/null
+++ b/results/train/parabola/problem_0540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e2af3eed43da55cc97d3bf4b89b439c2dfbcf9b33c72fa6bef02564bdf65a21
+size 183683
diff --git a/results/train/parabola/problem_0544.png b/results/train/parabola/problem_0544.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa9fb7a2238d91fbae9d6c7e3318f7966b31a84d
--- /dev/null
+++ b/results/train/parabola/problem_0544.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0159a0a5adc53e379874347fcd19f5402d438a8e93c3182e68423e2dd270f305
+size 183106
diff --git a/results/train/parabola/problem_0551.png b/results/train/parabola/problem_0551.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9e98d701102ed792e6b8f0a62fdd305b0b55f0b
--- /dev/null
+++ b/results/train/parabola/problem_0551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d7893d2f3635600ef69b3dd5184e4cc4e7d03a33554e50718131c7bb86c6701
+size 197541
diff --git a/results/train/parabola/problem_0553.png b/results/train/parabola/problem_0553.png
new file mode 100644
index 0000000000000000000000000000000000000000..0aed80d8f756fb8fc746f53ef9c07be777ead4d1
--- /dev/null
+++ b/results/train/parabola/problem_0553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c3b8ff59131ac105cff478800ce4efdf57dd631533108e95e9d68c08424a692
+size 204970
diff --git a/results/train/parabola/problem_0558.png b/results/train/parabola/problem_0558.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeb33500532591e50065529e77429308e6b8f1e1
--- /dev/null
+++ b/results/train/parabola/problem_0558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:026fde2c3846527ca14a43a9a1e8c7baf4e0709d8f838d290806336645fc3cc4
+size 190302
diff --git a/results/train/parabola/problem_0559.png b/results/train/parabola/problem_0559.png
new file mode 100644
index 0000000000000000000000000000000000000000..904f76a3544d45604e065cad354a049cdb30c958
--- /dev/null
+++ b/results/train/parabola/problem_0559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a174ebce546cc7552ef22123d2587d58fe0c4c0f90987d25d1aadc0133ca2706
+size 188529
diff --git a/results/train/parabola/problem_0564.png b/results/train/parabola/problem_0564.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a0f70cb82a09ac1fcb4759bf01aeb5f1ab26ac9
--- /dev/null
+++ b/results/train/parabola/problem_0564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d61b23e6a95a6257f1e3a62a4cba6530f8d6d7bb813caa9e02b0024c87f717ca
+size 194320
diff --git a/results/train/parabola/problem_0566.png b/results/train/parabola/problem_0566.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fc70c31335e80859f4cdc5a30bae4ad76cd88dd
--- /dev/null
+++ b/results/train/parabola/problem_0566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cb3833e6fa4fa2ff9181c08633d86450e8113db537fd23ae498c65cfc447762
+size 188757
diff --git a/results/train/parabola/problem_0567.png b/results/train/parabola/problem_0567.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac1a8ab46c27c512b6834c768915df3fa46f034e
--- /dev/null
+++ b/results/train/parabola/problem_0567.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24873be2ca4d5c07af15e018848166412ea46adb9a8aafb85b6eeeeaeeac454d
+size 192223
diff --git a/results/train/parabola/problem_0568.png b/results/train/parabola/problem_0568.png
new file mode 100644
index 0000000000000000000000000000000000000000..8131090f583a2b12a2b19dbbf78fe7f45b3d2033
--- /dev/null
+++ b/results/train/parabola/problem_0568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:523eede619183c018515bdc4067d1e7d59084a4f29838f60b094df2a1669ed68
+size 191137
diff --git a/results/train/parabola/problem_0571.png b/results/train/parabola/problem_0571.png
new file mode 100644
index 0000000000000000000000000000000000000000..3be94dfb6451dfa375cc67c43786fd2b4b0dc1f3
--- /dev/null
+++ b/results/train/parabola/problem_0571.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4655efb66a07fe249494345ecb8770f8e853c412abd7cfa4afbe2bb98cc1981
+size 205845
diff --git a/results/train/parabola/problem_0573.png b/results/train/parabola/problem_0573.png
new file mode 100644
index 0000000000000000000000000000000000000000..5356e2b2e3e12ca6dab5e61ec56c9cff7dbbb522
--- /dev/null
+++ b/results/train/parabola/problem_0573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b47187fb84fa046315d78fc222eb59f14dd56cc8a23f473a037337370ab6727c
+size 188418
diff --git a/results/train/parabola/problem_0574.png b/results/train/parabola/problem_0574.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4f695f32eb02350bb51fcd023b0221b6b60cba3
--- /dev/null
+++ b/results/train/parabola/problem_0574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d6a1ae94e1ffc3457eace5a9f78045b39afce907b50cd31e1cee3380b09c60d
+size 201260
diff --git a/results/train/parabola/problem_0584.png b/results/train/parabola/problem_0584.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7f3bb17b44c7d483585aa7610adf2bd4e3825fc
--- /dev/null
+++ b/results/train/parabola/problem_0584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df68abab22406e809545eabe10075855f8db3ae4f588ce9e24653203962bdd3c
+size 192864
diff --git a/results/train/parabola/problem_0586.png b/results/train/parabola/problem_0586.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d6e41255f2ccd26952a2faeef3eaaf9a0cfb912
--- /dev/null
+++ b/results/train/parabola/problem_0586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e142ac1c1e666b438f7081ad4d64b2148f14cd661a558a616b38cbe395aed7b3
+size 163443
diff --git a/results/train/parabola/problem_0593.png b/results/train/parabola/problem_0593.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eee53bdb0edbb0b9f29db2770f613e29a7e7daa
--- /dev/null
+++ b/results/train/parabola/problem_0593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06f870b638d011f5b9822bdca8ab1314b46dc49d6824ab728c64d6298ecacfc4
+size 192611
diff --git a/results/train/parabola/problem_0597.png b/results/train/parabola/problem_0597.png
new file mode 100644
index 0000000000000000000000000000000000000000..bcdf4b9a59d46684147148ae48bd825affb58e24
--- /dev/null
+++ b/results/train/parabola/problem_0597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c27c39b119e15367fa8345e548da80debf49395c1a3cc8261010ba13e30d25ca
+size 186288
diff --git a/results/train/parabola/problem_0598.png b/results/train/parabola/problem_0598.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dbcea950da41281ebc715a9276be3872b0fdaf8
--- /dev/null
+++ b/results/train/parabola/problem_0598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccd20f5e0f2642a9631468a13d5da2a6099face9e377c93a811ba7818040e608
+size 182394
diff --git a/results/train/parabola/problem_0602.png b/results/train/parabola/problem_0602.png
new file mode 100644
index 0000000000000000000000000000000000000000..e686545231ae8c75038592e8276827a616fe0575
--- /dev/null
+++ b/results/train/parabola/problem_0602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2c6c8aaea8bb1e18758d186649b5c19b89fb6c30596a6ed4dd8be9611276063
+size 161745
diff --git a/results/train/parabola/problem_0609.png b/results/train/parabola/problem_0609.png
new file mode 100644
index 0000000000000000000000000000000000000000..1214e9339f48e1e504745bfb05a265609321aed0
--- /dev/null
+++ b/results/train/parabola/problem_0609.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e481e2c7d744c64e861a90970075eccdd070fa2d6d2ca06ce90c262e74d6932
+size 187934
diff --git a/results/train/parabola/problem_0611.png b/results/train/parabola/problem_0611.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7660a40d7750e5d318eec4b3cf8ddcdebcf8b16
--- /dev/null
+++ b/results/train/parabola/problem_0611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b79260befa76f57935294c96e97a243998264291da3bdeb8e578413b2e0d27b
+size 202865
diff --git a/results/train/parabola/problem_0614.png b/results/train/parabola/problem_0614.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4c85c1ea09dcbb2f52ebb933170fe0917f05047
--- /dev/null
+++ b/results/train/parabola/problem_0614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:761a20e62a47ca8f3430160ffc04d37a4e96481e6ba72514455386875352895d
+size 195174
diff --git a/results/train/parabola/problem_0624.png b/results/train/parabola/problem_0624.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d6ece43341794a0af2b90c75f6c47972b9450e6
--- /dev/null
+++ b/results/train/parabola/problem_0624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2b790553b7b265992411134290b2f69cc72bba667ab9878cbfbcc3bebb3973e
+size 176345
diff --git a/results/train/parabola/problem_0625.png b/results/train/parabola/problem_0625.png
new file mode 100644
index 0000000000000000000000000000000000000000..b02e9b73cf14b4f3b508db8b70e361f4ef8d689f
--- /dev/null
+++ b/results/train/parabola/problem_0625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4760ef7ee44797469c3c35210bb7e38badaa44890b077e03e05ea38afcf6db2
+size 203819
diff --git a/results/train/parabola/problem_0628.png b/results/train/parabola/problem_0628.png
new file mode 100644
index 0000000000000000000000000000000000000000..726427891666e94e19869035fb4497aabbb2e10d
--- /dev/null
+++ b/results/train/parabola/problem_0628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a2fae0fc84332343eb41cc893f0c5f035f3a2b4d359d4109e1055f9192a21b5
+size 193029
diff --git a/results/train/parabola/problem_0629.png b/results/train/parabola/problem_0629.png
new file mode 100644
index 0000000000000000000000000000000000000000..69e3d8493198fe9bcfcb8748f116421b915dd297
--- /dev/null
+++ b/results/train/parabola/problem_0629.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9def969c9ee60e5485552fe2ab6652918e8fc9f40a5bd4216a5c7e477bd0f4cc
+size 185383
diff --git a/results/train/parabola/problem_0630.png b/results/train/parabola/problem_0630.png
new file mode 100644
index 0000000000000000000000000000000000000000..79e08bdb6f5c0253a4310f91ddd319520cdd60a1
--- /dev/null
+++ b/results/train/parabola/problem_0630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d1b89cd90090ae268882526b2e1a3b548f1b37c0e73bdf370eac32ccd0eee59
+size 183532
diff --git a/results/train/parabola/problem_0632.png b/results/train/parabola/problem_0632.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ceb30e7ab54b11ffb336ab89be6577329aae922
--- /dev/null
+++ b/results/train/parabola/problem_0632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78db3903ec121a4a802a13daf0323d5675d4cb8408cfab73d6efbed3999fb67b
+size 196920
diff --git a/results/train/parabola/problem_0640.png b/results/train/parabola/problem_0640.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7ea74e13e0fb3e05735f0366dd6ae79b3c0b652
--- /dev/null
+++ b/results/train/parabola/problem_0640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cc54503efcec014db03708e545e86551e388793b551eeaac023d063e919e5a2
+size 186117
diff --git a/results/train/parabola/problem_0646.png b/results/train/parabola/problem_0646.png
new file mode 100644
index 0000000000000000000000000000000000000000..2855023143cefb859e39df3abbd5ffc92d05adc7
--- /dev/null
+++ b/results/train/parabola/problem_0646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:170b57b7d0a8cdaf2c4d0c7300c92b48d06d31b1914c9000ea8f915b05b1d353
+size 189885
diff --git a/results/train/parabola/problem_0652.png b/results/train/parabola/problem_0652.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c08380c2c766e62d36e98b2b6d72c9ea098fe30
--- /dev/null
+++ b/results/train/parabola/problem_0652.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2f8a7b7bcc98923be712a164e2243ab2d8f72dbb312e3ae6d5a6f52ff347830
+size 182635
diff --git a/results/train/parabola/problem_0654.png b/results/train/parabola/problem_0654.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d1f1e22c1afe0330d84226ba606e81ffcda7ce0
--- /dev/null
+++ b/results/train/parabola/problem_0654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0aaed9af0d5d0f6af67c44f4af28f54aff83b26c0a62f848f0c5b2fbeb31f583
+size 198935
diff --git a/results/train/parabola/problem_0668.png b/results/train/parabola/problem_0668.png
new file mode 100644
index 0000000000000000000000000000000000000000..593190dfe4f39b6b22fb9e2020bbacc861fbf467
--- /dev/null
+++ b/results/train/parabola/problem_0668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25e652a5f03621f660d9bef3756bf78661917db7546f18584836b442c801a8f6
+size 189219
diff --git a/results/train/parabola/problem_0669.png b/results/train/parabola/problem_0669.png
new file mode 100644
index 0000000000000000000000000000000000000000..139c48fab1c3ee6598a1c16025749207670ffeae
--- /dev/null
+++ b/results/train/parabola/problem_0669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff7c668fe01de6294144f4b99ae3bb7ffece459de454af32f33aa0ee8c927177
+size 185466
diff --git a/results/train/parabola/problem_0670.png b/results/train/parabola/problem_0670.png
new file mode 100644
index 0000000000000000000000000000000000000000..1dadfcd0f9e9d4708b8698a162d46d998fe6d775
--- /dev/null
+++ b/results/train/parabola/problem_0670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a5bbd4ad83f18bf194ca7353b4b913de8ae0e8978ea0f91c9590fbc41e835ff
+size 188402
diff --git a/results/train/parabola/problem_0673.png b/results/train/parabola/problem_0673.png
new file mode 100644
index 0000000000000000000000000000000000000000..475d5d7fe87878d878a4ab41018c68d7f4089a83
--- /dev/null
+++ b/results/train/parabola/problem_0673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1c0dff8a2026ddc2e0211b9f4f9e79ac07fce78756d06aad7dc65c208c428ce
+size 189533
diff --git a/results/train/parabola/problem_0674.png b/results/train/parabola/problem_0674.png
new file mode 100644
index 0000000000000000000000000000000000000000..bca1836f6296a4aa5f57e069d14dfd0f2e786e6e
--- /dev/null
+++ b/results/train/parabola/problem_0674.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffeb220ebae0b5d405ef69b64be38d24758fd382362234e34ff41375473320e3
+size 193394
diff --git a/results/train/parabola/problem_0676.png b/results/train/parabola/problem_0676.png
new file mode 100644
index 0000000000000000000000000000000000000000..284d586028d3b07cf06618204ae237e58a796a2d
--- /dev/null
+++ b/results/train/parabola/problem_0676.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f14681aee1bd55635f37ba3af966d835f88128e60c502e7348356d85b91aa57b
+size 189305
diff --git a/results/train/parabola/problem_0687.png b/results/train/parabola/problem_0687.png
new file mode 100644
index 0000000000000000000000000000000000000000..c24d6bd34415f41cd8849f3608f8cf6c0518ee4f
--- /dev/null
+++ b/results/train/parabola/problem_0687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f112cddae6b030a35a19847132bc32cb29413eedbd79999291bc69ccf82a5aa9
+size 180389
diff --git a/results/train/parabola/problem_0689.png b/results/train/parabola/problem_0689.png
new file mode 100644
index 0000000000000000000000000000000000000000..390f4e59b2bcd85a7180a42a00050be8e2f596b8
--- /dev/null
+++ b/results/train/parabola/problem_0689.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6a5541c0da7d10416dc9cd8ea521bbd27c2258de109611e55a3644754517624
+size 197849
diff --git a/results/train/parabola/problem_0690.png b/results/train/parabola/problem_0690.png
new file mode 100644
index 0000000000000000000000000000000000000000..c640acb78dab52a47d118d69f9ed825430936b9c
--- /dev/null
+++ b/results/train/parabola/problem_0690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7d2b95dd94d830b87e9008a0057750f0c2a279f2bb2df3627bb17be2be3284a
+size 190702
diff --git a/results/train/parabola/problem_0696.png b/results/train/parabola/problem_0696.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c7f738893f360b04b44c7a73033a1098b0ce7c5
--- /dev/null
+++ b/results/train/parabola/problem_0696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3414923bf87ec39ab0283b9441fe683093492e3b3e608415af8312f2ebbdf277
+size 179251
diff --git a/results/train/parabola/problem_0697.png b/results/train/parabola/problem_0697.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cf6fd25c5924946516d522afe78f8af7787ab19
--- /dev/null
+++ b/results/train/parabola/problem_0697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:780c5b3390303c2b5cb757a3c3638cc08af67803fcb38bca4cc46370aa5b5632
+size 171789
diff --git a/results/train/parabola/problem_0700.png b/results/train/parabola/problem_0700.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cf153056236dedad4369647ada89ebfac884e90
--- /dev/null
+++ b/results/train/parabola/problem_0700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c657cfd9f24345e3560196628e346d28f671dc6a8c4fd65ffaa1e8755113196
+size 191315
diff --git a/results/train/parabola/problem_0702.png b/results/train/parabola/problem_0702.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca846dd8f8c11a8157f1082a61ac21cdcc584ffc
--- /dev/null
+++ b/results/train/parabola/problem_0702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49086d6b9514b88daeb30b7ded2e5550bfbeff7ce23db4fbee9fa6cedfa29a90
+size 206518
diff --git a/results/train/parabola/problem_0704.png b/results/train/parabola/problem_0704.png
new file mode 100644
index 0000000000000000000000000000000000000000..91f083734f2ee7cf40ed87120e53c483163b34ea
--- /dev/null
+++ b/results/train/parabola/problem_0704.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddf7aff6d88fa6461662f3eb4ce574105d6de7c8141bb300bb22a61fcb4b3987
+size 193801
diff --git a/results/train/parabola/problem_0705.png b/results/train/parabola/problem_0705.png
new file mode 100644
index 0000000000000000000000000000000000000000..44143486a4303a46429d52a1ba92437030d867b5
--- /dev/null
+++ b/results/train/parabola/problem_0705.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b05f5aa71a6433c29176ef99f0d78a68482d554c3dcf3e2b0164123c08dd5d30
+size 203914
diff --git a/results/train/parabola/problem_0709.png b/results/train/parabola/problem_0709.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc5c49642a2d94fc2e01ef6e19381add2cc9cf25
--- /dev/null
+++ b/results/train/parabola/problem_0709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2bb9ecd4368f09ec5213ef4e7b35326bee35b6ebf16eb1b4112e857b016a403
+size 189837
diff --git a/results/train/parabola/problem_0716.png b/results/train/parabola/problem_0716.png
new file mode 100644
index 0000000000000000000000000000000000000000..029b4832c86588bf3b21e6262d343b454d17c029
--- /dev/null
+++ b/results/train/parabola/problem_0716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62b933dc4d1fa388ff4a9717d861af2f26024ef1e6c2f0ab8e6bdc4c47df0f88
+size 201837
diff --git a/results/train/parabola/problem_0718.png b/results/train/parabola/problem_0718.png
new file mode 100644
index 0000000000000000000000000000000000000000..7887b307b8d37ba709df335574bdc88e1e85a784
--- /dev/null
+++ b/results/train/parabola/problem_0718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab3e0e6b11501fc731f1bf7b426a51d92e6cdba1581a89df78cf4a260657ee61
+size 203528
diff --git a/results/train/parabola/problem_0719.png b/results/train/parabola/problem_0719.png
new file mode 100644
index 0000000000000000000000000000000000000000..a409293a1238f741238a23580155ca263a2e22cc
--- /dev/null
+++ b/results/train/parabola/problem_0719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98a439950f93573ef3ad846cb1b83edbfa44c272f68ca6a5b345a50e605c6edb
+size 190036
diff --git a/results/train/parabola/problem_0721.png b/results/train/parabola/problem_0721.png
new file mode 100644
index 0000000000000000000000000000000000000000..f160e0a797ac0df927f4518546640659b2576079
--- /dev/null
+++ b/results/train/parabola/problem_0721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b4db6221bc87ba83b45949f0422583583748061bcf914b8661f374c0a0456ea
+size 203745
diff --git a/results/train/parabola/problem_0728.png b/results/train/parabola/problem_0728.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a812830e7b3b5b569f55c7c54396ffa018e1543
--- /dev/null
+++ b/results/train/parabola/problem_0728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:402762a2af0ee29e6ea799db329caee7adf3e762fb0e8c19ec38110f1adfd670
+size 192736
diff --git a/results/train/parabola/problem_0730.png b/results/train/parabola/problem_0730.png
new file mode 100644
index 0000000000000000000000000000000000000000..347b61c76860c05090d19a719103891c7da5735e
--- /dev/null
+++ b/results/train/parabola/problem_0730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f742dbcc7d1b15c1e65ad652ace8ba2fa3b1fb3cbfc2b546c0d776fe9acd5795
+size 155350
diff --git a/results/train/parabola/problem_0733.png b/results/train/parabola/problem_0733.png
new file mode 100644
index 0000000000000000000000000000000000000000..340689ce9b318f15e5dd5b107cbc7ab363ea731c
--- /dev/null
+++ b/results/train/parabola/problem_0733.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1de187caca8e6621b908aaed8563ee54510a3ec836a891a03e4702e9848310fa
+size 181561
diff --git a/results/train/parabola/problem_0734.png b/results/train/parabola/problem_0734.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d0157ad8be605281de2df34b0be0ef44304a71b
--- /dev/null
+++ b/results/train/parabola/problem_0734.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:458b537135e965577202d9250e17784071b069c027f57a87ef1e4af91b33884c
+size 207292
diff --git a/results/train/parabola/problem_0738.png b/results/train/parabola/problem_0738.png
new file mode 100644
index 0000000000000000000000000000000000000000..8936c7791835d65f0e32719594be8c5ea4ecb5f4
--- /dev/null
+++ b/results/train/parabola/problem_0738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9e1911e531052094f8f8f91c28a4d58849105539baa798ce6fcba8ef0387d3d
+size 188487
diff --git a/results/train/parabola/problem_0744.png b/results/train/parabola/problem_0744.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb36480a815ec4cc1fd1ba7cbcc9f7e913ee552e
--- /dev/null
+++ b/results/train/parabola/problem_0744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fc6a38492c6485a433f00c5d5ce99f0fd07ad0ef9f38bb732725b38a3dd6923
+size 196883
diff --git a/results/train/parabola/problem_0745.png b/results/train/parabola/problem_0745.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2a3c4cb527a724863f51c8303e58f7dcba8e90e
--- /dev/null
+++ b/results/train/parabola/problem_0745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4170e33a18a3ee7d4b41d9c8dd078de5f93d0cdc6cfda105e1f24da4969c01d1
+size 189155
diff --git a/results/train/parabola/problem_0747.png b/results/train/parabola/problem_0747.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c637f53021365cce8a34378268dbda8fe5ff76a
--- /dev/null
+++ b/results/train/parabola/problem_0747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ae854261e61b4695a4ddf05ee46f042ca4a703095cbfc4005e9fd5ddf5cb413
+size 186943
diff --git a/results/train/parabola/problem_0748.png b/results/train/parabola/problem_0748.png
new file mode 100644
index 0000000000000000000000000000000000000000..15cc6d5b519fd4178b81a1b16abfc6114cc1fd98
--- /dev/null
+++ b/results/train/parabola/problem_0748.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:828cb84481079d44a40dfb8868721c81813eb31fba409851a4daf2735d7fa593
+size 184366
diff --git a/results/train/parabola/problem_0751.png b/results/train/parabola/problem_0751.png
new file mode 100644
index 0000000000000000000000000000000000000000..1789f67de95f69233ed4cf0fa3f7a6ed142d9c28
--- /dev/null
+++ b/results/train/parabola/problem_0751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34ef0c48b5296305da7f7ef69b69741e26a55cfdbf6d069c1d858918c2c5f1c1
+size 190638
diff --git a/results/train/parabola/problem_0755.png b/results/train/parabola/problem_0755.png
new file mode 100644
index 0000000000000000000000000000000000000000..10b638a369439823abc17f12996f70e8170e4788
--- /dev/null
+++ b/results/train/parabola/problem_0755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b502b671a8055a09a7ca8ef9b62c94a7ace4020f2b2e4b22f115f4c07393bf69
+size 190025
diff --git a/results/train/parabola/problem_0769.png b/results/train/parabola/problem_0769.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa17ea3ff3c3107de91116bf75ac54d4e507c053
--- /dev/null
+++ b/results/train/parabola/problem_0769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:589ea07719fa29e610b0a21459ba4393539e539c4904bee875c18a20f0f2699a
+size 199614
diff --git a/results/train/parabola/problem_0771.png b/results/train/parabola/problem_0771.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d6d8be072a8d6d209778aa3e7aa66583231cc62
--- /dev/null
+++ b/results/train/parabola/problem_0771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f63774f0f09ac4ec3b7295633ba6314cbb96b53bee2b1fd91ba596624d3d8bad
+size 180844
diff --git a/results/train/parabola/problem_0776.png b/results/train/parabola/problem_0776.png
new file mode 100644
index 0000000000000000000000000000000000000000..9464a046030f644cc042661f8998cacf7bc62d64
--- /dev/null
+++ b/results/train/parabola/problem_0776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bcd474a7bdea12c32806698aabd67ccc44dc98c0eb67eeedc69db0cf889f64a
+size 182949
diff --git a/results/train/parabola/problem_0778.png b/results/train/parabola/problem_0778.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc964c6ea3969ced2fbaa751817b1c6f9412dcb4
--- /dev/null
+++ b/results/train/parabola/problem_0778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:993030fdcf1827db7b44feedf5bf59900e41e455441ff2fc850e4342c412723d
+size 194540
diff --git a/results/train/parabola/problem_0779.png b/results/train/parabola/problem_0779.png
new file mode 100644
index 0000000000000000000000000000000000000000..0782477004478af515b6deac3fcb7a35d0ccca3b
--- /dev/null
+++ b/results/train/parabola/problem_0779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c3437865b92c765b381e9654b3d50386e01243c34be160df6d151002ef4c5b3
+size 203602
diff --git a/results/train/parabola/problem_0782.png b/results/train/parabola/problem_0782.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8113541a5da4dbb9d4abd223039d38c4cb79c31
--- /dev/null
+++ b/results/train/parabola/problem_0782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44b1d0edaf4cd337dc974861e28667d0db44daa5de42a00d382b8e183f3f2e05
+size 199584
diff --git a/results/train/parabola/problem_0786.png b/results/train/parabola/problem_0786.png
new file mode 100644
index 0000000000000000000000000000000000000000..b100e71b99406e214097a59762f9c47ddb3d2f94
--- /dev/null
+++ b/results/train/parabola/problem_0786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c763a99fa8812d8cb543de69498cb0727e5987fc2d5e9e37e5d49b7c0003553
+size 183159
diff --git a/results/train/parabola/problem_0794.png b/results/train/parabola/problem_0794.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ed2a524aef8547baca7600150bd286621f7e8d3
--- /dev/null
+++ b/results/train/parabola/problem_0794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a26b8566512e7b8ce5dcfcda7a79efd0886d0b6f08a72bff5f28123fb9cb0ac3
+size 196009
diff --git a/results/train/parabola/problem_0796.png b/results/train/parabola/problem_0796.png
new file mode 100644
index 0000000000000000000000000000000000000000..11c273ddf69d401813990cdb8d4732a93c4cf763
--- /dev/null
+++ b/results/train/parabola/problem_0796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d5dce3a2b775b4209e5dc57d419fefdd9c6c2349d48356f8bb5598613dff590
+size 179082
diff --git a/results/train/parabola/problem_0805.png b/results/train/parabola/problem_0805.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f1343dca943c62dea257be458de34c6974eebb3
--- /dev/null
+++ b/results/train/parabola/problem_0805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33d2550404aa9d4b7de272ffbaa114d8bb3e9defdd052e0e892a4bc9a046794d
+size 190004
diff --git a/results/train/parabola/problem_0808.png b/results/train/parabola/problem_0808.png
new file mode 100644
index 0000000000000000000000000000000000000000..30b01c5a619a3585ca7754027b2f5c6f9b4418c6
--- /dev/null
+++ b/results/train/parabola/problem_0808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c558bb0193d3b90aa8ba69864f9241d7d9cb69d38e793ab36dada76691ff39d2
+size 178389
diff --git a/results/train/parabola/problem_0810.png b/results/train/parabola/problem_0810.png
new file mode 100644
index 0000000000000000000000000000000000000000..b813d345693a49a772538b0b4cd95a6690d9b8f7
--- /dev/null
+++ b/results/train/parabola/problem_0810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41aeeea7071100ec2e300dbdbc5bd8f5af34d781cdab85304608f2ecd105193b
+size 202757
diff --git a/results/train/parabola/problem_0814.png b/results/train/parabola/problem_0814.png
new file mode 100644
index 0000000000000000000000000000000000000000..f39789e57b0f221dadfdbf14101388df2f9d928a
--- /dev/null
+++ b/results/train/parabola/problem_0814.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e82f780e0d01bf0088bfaf685fdc2365d7e020d2044051303fbafdb6df2e7a30
+size 189215
diff --git a/results/train/parabola/problem_0817.png b/results/train/parabola/problem_0817.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8d14a49de5a8da3dbcfda9020c7da2b3ad2d9b8
--- /dev/null
+++ b/results/train/parabola/problem_0817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cae9c5fb4ac2d59e0ca45c4e73e5181c758608a78c5ed746c9ed8b308f86da9
+size 189356
diff --git a/results/train/parabola/problem_0820.png b/results/train/parabola/problem_0820.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e7ee07193f70ef84031b3628424bc518e7a073d
--- /dev/null
+++ b/results/train/parabola/problem_0820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dba39428c59186c39581cc97687276b59a4151ad21f7f43fe9c891c1763fb85f
+size 181056
diff --git a/results/train/parabola/problem_0824.png b/results/train/parabola/problem_0824.png
new file mode 100644
index 0000000000000000000000000000000000000000..1823547c090a9dd19999ca539c4a84c3c6971443
--- /dev/null
+++ b/results/train/parabola/problem_0824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4446adfe5f63c8f5f38d6cda73a48f43aa5e99919f20032569aa4b99bf1fd02c
+size 193782
diff --git a/results/train/parabola/problem_0827.png b/results/train/parabola/problem_0827.png
new file mode 100644
index 0000000000000000000000000000000000000000..04fe4fb9b7d63e69457df038dad16a8a292e289f
--- /dev/null
+++ b/results/train/parabola/problem_0827.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df2c3a9c96458cd86a80b53229ff4a35cec1543e4e73b880c77bf9a027218a62
+size 192028
diff --git a/results/train/parabola/problem_0828.png b/results/train/parabola/problem_0828.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4ded4e59f7ce61fbbcd5101bc0c467573ee806e
--- /dev/null
+++ b/results/train/parabola/problem_0828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b4b936a940df54f5aa1b60f0093a2d35ed021ca8a88c173f519811486e4d9ec
+size 205247
diff --git a/results/train/parabola/problem_0844.png b/results/train/parabola/problem_0844.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eae58a25d0719eec68a96cd6936311fe5765532
--- /dev/null
+++ b/results/train/parabola/problem_0844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:190febb7e6e2bea47c2297ece3096b6262379c5d508118f85978c13c2f28d67b
+size 177493
diff --git a/results/train/parabola/problem_0845.png b/results/train/parabola/problem_0845.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c2271382450e5659bbff0543f3cece223c00ec1
--- /dev/null
+++ b/results/train/parabola/problem_0845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1910d368d761077bc8558d4a2569d1eb83b280848b2601c618d0df8072b5f894
+size 193548
diff --git a/results/train/parabola/problem_0851.png b/results/train/parabola/problem_0851.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a244a7286873e771e329152c8f20ba24ff40fa3
--- /dev/null
+++ b/results/train/parabola/problem_0851.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb8b9e6913c41ca04ffe5bc4338e550b3b5f3318ee7026e5da49f631013c3df1
+size 185728
diff --git a/results/train/parabola/problem_0852.png b/results/train/parabola/problem_0852.png
new file mode 100644
index 0000000000000000000000000000000000000000..f14b381ce9b615e62a61fcdf02ed02a205b0d341
--- /dev/null
+++ b/results/train/parabola/problem_0852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a94df1612f60f21d0e52b94e3b28c1a1896348a45957af750c0ba9ed9236a372
+size 184131
diff --git a/results/train/parabola/problem_0859.png b/results/train/parabola/problem_0859.png
new file mode 100644
index 0000000000000000000000000000000000000000..03e76df0e382c3f8d06237bc1bd74b59561d3e7d
--- /dev/null
+++ b/results/train/parabola/problem_0859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6acee3a7ebc956ce1581e3e82799e3294e08419db788088ec5fa9ca537f81120
+size 181416
diff --git a/results/train/parabola/problem_0865.png b/results/train/parabola/problem_0865.png
new file mode 100644
index 0000000000000000000000000000000000000000..b66c894c4bd53b8c512bc0bb18d7946938779e21
--- /dev/null
+++ b/results/train/parabola/problem_0865.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b9177666711d71c556367e251846d522b5ed76ac19ee07abc78331e99359d26
+size 185162
diff --git a/results/train/parabola/problem_0874.png b/results/train/parabola/problem_0874.png
new file mode 100644
index 0000000000000000000000000000000000000000..f10e139567d6f4a2f505e7198f4db01f559de5ce
--- /dev/null
+++ b/results/train/parabola/problem_0874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4adc459f6ffd3c3fd9f1d160978b22d2182ad608f328fdadb2d53bc4ded859bf
+size 195381
diff --git a/results/train/parabola/problem_0877.png b/results/train/parabola/problem_0877.png
new file mode 100644
index 0000000000000000000000000000000000000000..c79784cac90bfad6369ebf02fbcde705090f2553
--- /dev/null
+++ b/results/train/parabola/problem_0877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab91abbaffca8f96f77694a32d5c220e6b635f78dadda7d729f38b8057e9c395
+size 185760
diff --git a/results/train/parabola/problem_0879.png b/results/train/parabola/problem_0879.png
new file mode 100644
index 0000000000000000000000000000000000000000..e99501808537ddd15e279caea8ec020e393c2bd0
--- /dev/null
+++ b/results/train/parabola/problem_0879.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84422538a9b2966768cc2dc55ce37281e8d50d32ad79d39de44fbf51f06d705f
+size 181775
diff --git a/results/train/parabola/problem_0880.png b/results/train/parabola/problem_0880.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5ea8aac98b80a9ebf616adc15dd48aa44839a30
--- /dev/null
+++ b/results/train/parabola/problem_0880.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c013f7b4548e04dab28eebb9c82fa6a15b0b2c106ed04f8318824290eb711f6
+size 194525
diff --git a/results/train/parabola/problem_0883.png b/results/train/parabola/problem_0883.png
new file mode 100644
index 0000000000000000000000000000000000000000..d087687a608b04bc6b54c0df44f02d007b3d1a0a
--- /dev/null
+++ b/results/train/parabola/problem_0883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a1017d41a0cbc34ab66ec5a4b3d76bcd231625829ac6baefe2ebafe2821ac88
+size 192243
diff --git a/results/train/parabola/problem_0884.png b/results/train/parabola/problem_0884.png
new file mode 100644
index 0000000000000000000000000000000000000000..5975484edf04e8289579cb9b3e20a68787de11c4
--- /dev/null
+++ b/results/train/parabola/problem_0884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:797e562930e19cfd2de95a85083cbbbb59e040f9d95b961a04c9db88e8705c29
+size 193163
diff --git a/results/train/parabola/problem_0888.png b/results/train/parabola/problem_0888.png
new file mode 100644
index 0000000000000000000000000000000000000000..836e85d84130de696f46d6e3debcc700d3eef7ca
--- /dev/null
+++ b/results/train/parabola/problem_0888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1dc93e6a442b1fedf9bb43b47c2fbda06d6bb8f65aa13cd411f976859ce1ff2
+size 188155
diff --git a/results/train/parabola/problem_0891.png b/results/train/parabola/problem_0891.png
new file mode 100644
index 0000000000000000000000000000000000000000..38ea8dcfed9b4396870ee9c940dbb90c3b44fb33
--- /dev/null
+++ b/results/train/parabola/problem_0891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:256f6a136d4f6edf092d70c0675fa7df8e23d143d5443f412705665616170295
+size 198551
diff --git a/results/train/parabola/problem_0893.png b/results/train/parabola/problem_0893.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc238ced9b7aea98b516f9403d239ad2424ecf8a
--- /dev/null
+++ b/results/train/parabola/problem_0893.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e8c189a5fb2dfb052f7f4b135ce3b85c1f82e2dbf48cfb649662b8259c188b1
+size 185186
diff --git a/results/train/parabola/problem_0894.png b/results/train/parabola/problem_0894.png
new file mode 100644
index 0000000000000000000000000000000000000000..c38e5647b6c9bf88c778dd3438450f87545d0af3
--- /dev/null
+++ b/results/train/parabola/problem_0894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa226d69bc05a465f27421538487aaed4e3e4143aa1a73791963feb184f3ad4a
+size 186453
diff --git a/results/train/parabola/problem_0897.png b/results/train/parabola/problem_0897.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bb098e9a2dce2557465b7e61873b9b1d3f8a08c
--- /dev/null
+++ b/results/train/parabola/problem_0897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10a9b3fc318c055164200e336826ecc98f6cf2f67ebcd12009d6533e917c5193
+size 198311
diff --git a/results/train/parabola/problem_0900.png b/results/train/parabola/problem_0900.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1a1348ab4ec24f66460d758a570cdbf272026eb
--- /dev/null
+++ b/results/train/parabola/problem_0900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e0f26fcd8608e6963e52b6b282e3faf529414cca4dcbfe1f5b711ef60316a99
+size 199053
diff --git a/results/train/parabola/problem_0901.png b/results/train/parabola/problem_0901.png
new file mode 100644
index 0000000000000000000000000000000000000000..91c6c286f13bfbf9e7c4fc39526f9c0726eebd51
--- /dev/null
+++ b/results/train/parabola/problem_0901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:509f87229d38733aa572eaaa8d16ef6e9d469ea79ee419003b64268f28b54612
+size 184386
diff --git a/results/train/parabola/problem_0902.png b/results/train/parabola/problem_0902.png
new file mode 100644
index 0000000000000000000000000000000000000000..83a47fdc84a08533714f35b6f4116ee129523f12
--- /dev/null
+++ b/results/train/parabola/problem_0902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6207290309eb73c4dabed665d15bfa986f8e67b2ee8f23414638fe59e8ea2117
+size 183774
diff --git a/results/train/parabola/problem_0904.png b/results/train/parabola/problem_0904.png
new file mode 100644
index 0000000000000000000000000000000000000000..6820e34aa00196a105b0f98e1a522c07d6365322
--- /dev/null
+++ b/results/train/parabola/problem_0904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e353d58f4a7c5c61e310110ba05eab515f90098ebd46f5e314e602095b61275
+size 198517
diff --git a/results/train/parabola/problem_0905.png b/results/train/parabola/problem_0905.png
new file mode 100644
index 0000000000000000000000000000000000000000..dadc12fec26b28ef7c70c29fedbf765e5075815b
--- /dev/null
+++ b/results/train/parabola/problem_0905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44d011d3d84afeaaef3b269a7899b31b18ce641f9dcb50117f49e4c89a9df46d
+size 189830
diff --git a/results/train/parabola/problem_0908.png b/results/train/parabola/problem_0908.png
new file mode 100644
index 0000000000000000000000000000000000000000..286d745350d1b99b020d3f1338c77d4c1dfe3ce8
--- /dev/null
+++ b/results/train/parabola/problem_0908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9b8ddcb2f5cba62fc315dfa8a76901118fb6244be15717399614cd28b6cf97b
+size 186844
diff --git a/results/train/parabola/problem_0909.png b/results/train/parabola/problem_0909.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a910494dc9ae978ff47566b7e792aa878e43dbd
--- /dev/null
+++ b/results/train/parabola/problem_0909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76c0ff840ba383c8e034b1c140207cd53a0a0d143f8a1f82019be13096183fbb
+size 196573
diff --git a/results/train/parabola/problem_0911.png b/results/train/parabola/problem_0911.png
new file mode 100644
index 0000000000000000000000000000000000000000..f35a991e7b992f4ae6461d536a7e966db68b212a
--- /dev/null
+++ b/results/train/parabola/problem_0911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:084f8e050c85b7702a08b95bb0582cc04248876b7f374ff12eab658d8f999057
+size 200193
diff --git a/results/train/parabola/problem_0914.png b/results/train/parabola/problem_0914.png
new file mode 100644
index 0000000000000000000000000000000000000000..1805ba8fc3a3ab6161b2464f4c100a083828ccd8
--- /dev/null
+++ b/results/train/parabola/problem_0914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6306537001cbf35b0a24b54733b4aa40308124f732f3f34942bdfeb8b812d3c
+size 206866
diff --git a/results/train/parabola/problem_0916.png b/results/train/parabola/problem_0916.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1010ea8e88550c28e990d0ca5c989cbf8bfb50d
--- /dev/null
+++ b/results/train/parabola/problem_0916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e82a74e9ea4d17814719c912d42829625be1bcadc607aa779b3b147358866ed
+size 202044
diff --git a/results/train/parabola/problem_0918.png b/results/train/parabola/problem_0918.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bf3b74e050830df65bd01099468a9951768f41a
--- /dev/null
+++ b/results/train/parabola/problem_0918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:447e29a1fcc343fa34e7783ebf42034b8dabba9a3e4d2ad513600b2e0515ed04
+size 197448
diff --git a/results/train/parabola/problem_0922.png b/results/train/parabola/problem_0922.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7f6b8965d4bf0cc4f85344db142940ea5293704
--- /dev/null
+++ b/results/train/parabola/problem_0922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f553a412d7aa8e0f59697eb14064e18f1705c2fc88ae01ec5f0691ef4178310
+size 182995
diff --git a/results/train/parabola/problem_0923.png b/results/train/parabola/problem_0923.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd9b720d5e2ca403bb0ca5becffda848765962b5
--- /dev/null
+++ b/results/train/parabola/problem_0923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d5f314efb7f957599a0767a8487275b160e6fce5e54c868da08855626e3a2f4
+size 195656
diff --git a/results/train/parabola/problem_0924.png b/results/train/parabola/problem_0924.png
new file mode 100644
index 0000000000000000000000000000000000000000..559bd9b183fc2b2f78c85f85ecc90c8cf85d25d4
--- /dev/null
+++ b/results/train/parabola/problem_0924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8877730895d23e1fc083db3f72cf399204c83416610284277987f40066da18f6
+size 187123
diff --git a/results/train/parabola/problem_0931.png b/results/train/parabola/problem_0931.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f500b3e62850da545b097c0a030d91b61c2c376
--- /dev/null
+++ b/results/train/parabola/problem_0931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73b2c429c9e808eceb772187f4505caf824e43f3dd8ee33dbaccf713f5b2b077
+size 191466
diff --git a/results/train/parabola/problem_0934.png b/results/train/parabola/problem_0934.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d1270aebbbf51364aebf3f3d8f476c60bdd1d17
--- /dev/null
+++ b/results/train/parabola/problem_0934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36e585b81c9bdabd2effb4d6d210756ce08c8803ee16a3ad495231431e734c33
+size 198149
diff --git a/results/train/parabola/problem_0935.png b/results/train/parabola/problem_0935.png
new file mode 100644
index 0000000000000000000000000000000000000000..156f8f8ae84bccb4bb5db7194fae628d9bfab13a
--- /dev/null
+++ b/results/train/parabola/problem_0935.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eaa420a8f276066f1eab1ce1595c3e1c1684f2d10940e2e35b907705f116ae03
+size 188834
diff --git a/results/train/parabola/problem_0937.png b/results/train/parabola/problem_0937.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a5cae9231692237250d48103a12f7610c8fd36e
--- /dev/null
+++ b/results/train/parabola/problem_0937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:841a8aff253296c59990e5fd1cae1a6b0ef6a6c7e8c53c7d87bc00377f61d774
+size 186049
diff --git a/results/train/parabola/problem_0940.png b/results/train/parabola/problem_0940.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f74759c27b532b0d5e4110b0f728e27e0c51bea
--- /dev/null
+++ b/results/train/parabola/problem_0940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91a8000f261cd0ba2686b36426bba7d44ed89f37d416ca5b1b5c2e33a9b07dd3
+size 197620
diff --git a/results/train/parabola/problem_0944.png b/results/train/parabola/problem_0944.png
new file mode 100644
index 0000000000000000000000000000000000000000..feb77a76a50ef6b071a0009d78ee4f03051536c0
--- /dev/null
+++ b/results/train/parabola/problem_0944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3d9866e9a34403159f3b54aeb760a47396b4b97b80b1a4e16b2a48921088a5a
+size 200414
diff --git a/results/train/parabola/problem_0945.png b/results/train/parabola/problem_0945.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3ac760cba30b849fdb1fcf46cf893465bb53b53
--- /dev/null
+++ b/results/train/parabola/problem_0945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b6046143d83587c682f42480e19df242312bac440a7e82159ce192ef66127ff
+size 152219
diff --git a/results/train/parabola/problem_0951.png b/results/train/parabola/problem_0951.png
new file mode 100644
index 0000000000000000000000000000000000000000..7bd60450df3658a69245642bda67553a8017c197
--- /dev/null
+++ b/results/train/parabola/problem_0951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbb98a150d4fae966bac438659e70c9afc77cc5d0985654fd5bd685ce7f97346
+size 201635
diff --git a/results/train/parabola/problem_0952.png b/results/train/parabola/problem_0952.png
new file mode 100644
index 0000000000000000000000000000000000000000..25ad1d850f04bb608964efd0240f66a7415a46f1
--- /dev/null
+++ b/results/train/parabola/problem_0952.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8523fce1a91d4c129223482c027755e40066b5399c5a5dbed1d34fa09e11c27c
+size 186152
diff --git a/results/train/parabola/problem_0953.png b/results/train/parabola/problem_0953.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea1cebcfbcdab40c34e181955fe954f0cc18bdcd
--- /dev/null
+++ b/results/train/parabola/problem_0953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2e192379faeb0b0b0a75d666e33ce9b931692d66837487cf4fc70df11f625b0
+size 191259
diff --git a/results/train/parabola/problem_0958.png b/results/train/parabola/problem_0958.png
new file mode 100644
index 0000000000000000000000000000000000000000..93acc9effb685158e6c5e8a46836544ba40d797b
--- /dev/null
+++ b/results/train/parabola/problem_0958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5226d984526bff1f1a6cd1ddc24160c3e4c50e0eb0f4d23f368b6e7dabc8b4ce
+size 185749
diff --git a/results/train/parabola/problem_0960.png b/results/train/parabola/problem_0960.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4856a05ab87c95b09ac87dc68a31179af2bed54
--- /dev/null
+++ b/results/train/parabola/problem_0960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82289bcc5fad6ce6ed66ebc379ef69663d7c09073331e23b198eea930d1387cb
+size 188504
diff --git a/results/train/parabola/problem_0962.png b/results/train/parabola/problem_0962.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbf06e8643887c158888b8a94fa03c4b68bad35e
--- /dev/null
+++ b/results/train/parabola/problem_0962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a6c3adc8aa0e18f5c95f216c25f0330a1b3300b93f56067f935d6aba59f7e7c
+size 191741
diff --git a/results/train/parabola/problem_0963.png b/results/train/parabola/problem_0963.png
new file mode 100644
index 0000000000000000000000000000000000000000..09d3debf36d6c96766a205941b7431e2a2a90e70
--- /dev/null
+++ b/results/train/parabola/problem_0963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a67fc46e3f1e301d972fd8d40c687b169c67a5e7db0061a7a9e91d78da9d9ac
+size 198558
diff --git a/results/train/parabola/problem_0966.png b/results/train/parabola/problem_0966.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f4c355035ea0719bef5e3e6bfe22e30260f34e1
--- /dev/null
+++ b/results/train/parabola/problem_0966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61110bea2c20589e028ee61c838e5ffaa875efa075a9130d130daecdb9b46d2e
+size 196117
diff --git a/results/train/parabola/problem_0969.png b/results/train/parabola/problem_0969.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed770fcb0e90b9e2a4f76a1f462084b47103c959
--- /dev/null
+++ b/results/train/parabola/problem_0969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e17979febd6f1418bd633385cba0d19eea16cfdb46c5e592c7e73e32493c7db5
+size 187713
diff --git a/results/train/parabola/problem_0970.png b/results/train/parabola/problem_0970.png
new file mode 100644
index 0000000000000000000000000000000000000000..303631cdeb387f67442482f699885f5f95b44f17
--- /dev/null
+++ b/results/train/parabola/problem_0970.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6f9fb88bc4f16c00ec386e97fb3cbdc7ddf190fa3a302f4fc3b3290e5ebfa83
+size 181800
diff --git a/results/train/parabola/problem_0973.png b/results/train/parabola/problem_0973.png
new file mode 100644
index 0000000000000000000000000000000000000000..84c13efb24498a386bf6764be0e71e6434292ea8
--- /dev/null
+++ b/results/train/parabola/problem_0973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:185b365db4b0c3722f8c7a29dcfc8c07be9e0dc8ebcb1265985575c0ab47d4ca
+size 188274
diff --git a/results/train/parabola/problem_0974.png b/results/train/parabola/problem_0974.png
new file mode 100644
index 0000000000000000000000000000000000000000..04af09a375c4cf138b898deafb155618771b4a87
--- /dev/null
+++ b/results/train/parabola/problem_0974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e1164aff924872409f532d4fa5aab6899a11fa1f8d8f88cdcdf9373478de18e
+size 180053
diff --git a/results/train/parabola/problem_0975.png b/results/train/parabola/problem_0975.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ab52d1ea99f4f9a7c13cef9904cd40f651f9192
--- /dev/null
+++ b/results/train/parabola/problem_0975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9ca04d256b65eeadf0a98f0f533f510568420cfd256816bb3c9b2680e765b03
+size 195347
diff --git a/results/train/parabola/problem_0982.png b/results/train/parabola/problem_0982.png
new file mode 100644
index 0000000000000000000000000000000000000000..6bf1b7455b22572b86eab21e029de598237be2b0
--- /dev/null
+++ b/results/train/parabola/problem_0982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3acd1e60322633f99ab1a55c82b003268edc4f2617f8e6239162f17e988921e4
+size 203637
diff --git a/results/train/parabola/problem_0983.png b/results/train/parabola/problem_0983.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cdcfaa8e83369e219b4f99d56f1bb3e1f5271e5
--- /dev/null
+++ b/results/train/parabola/problem_0983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aac24201bbe6aa64e31217873cddf548f8c5b036ceb96d5f682d067193141120
+size 182881
diff --git a/results/train/parabola/problem_0990.png b/results/train/parabola/problem_0990.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3ab3cab435d1fd61c447c65c5f6d14aefb2f520
--- /dev/null
+++ b/results/train/parabola/problem_0990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1760bb63fba5d65bed759fdcb65628825f2445667ac8ef036238cf133ed68c9c
+size 193755
diff --git a/results/train/parabola/problem_0991.png b/results/train/parabola/problem_0991.png
new file mode 100644
index 0000000000000000000000000000000000000000..d452256ecd9e894bebc99dc656585f6b7c3cc5ef
--- /dev/null
+++ b/results/train/parabola/problem_0991.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43f266b1cf84f0d509b479265595daaf0b870773eaed798acb7a15131693a8b6
+size 180483
diff --git a/results/train/parabola/problem_0993.png b/results/train/parabola/problem_0993.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1d7e1fcbefdb075a616b2b193c95e040dc21e05
--- /dev/null
+++ b/results/train/parabola/problem_0993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c77f7cd3f2e3069e2ba44c573605ca52fa622e2637d463af57224d673987d47
+size 196419
diff --git a/results/train/parabola/problem_0994.png b/results/train/parabola/problem_0994.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f98087916d4b2450f0dd14eb82764fd1227468e
--- /dev/null
+++ b/results/train/parabola/problem_0994.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c2b8537c9465f007255e67026fee19cfc0aa1a21e70150003d1582f55283923
+size 189720
diff --git a/results/train/parabola/problem_0995.png b/results/train/parabola/problem_0995.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcbc04cf3fc7a0e01ac5b8f0fcd38d428880af83
--- /dev/null
+++ b/results/train/parabola/problem_0995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d8866eaa8da2efe39e3619d4754af271f97741519c65c2870fe21b476feb69
+size 204884
diff --git a/results/train/parabola/problem_1001.png b/results/train/parabola/problem_1001.png
new file mode 100644
index 0000000000000000000000000000000000000000..29fcae272fd3ac35bcd95fa3f54004a5fbe7f15f
--- /dev/null
+++ b/results/train/parabola/problem_1001.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98c83540e5dc6dae8a9e1e1d96af24dfe9af4d347d8c67e695f17a1476eed3af
+size 195273
diff --git a/results/train/parabola/problem_1005.png b/results/train/parabola/problem_1005.png
new file mode 100644
index 0000000000000000000000000000000000000000..e35ed560037f269ecd858b26e8770b92cfc6cedf
--- /dev/null
+++ b/results/train/parabola/problem_1005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87351b069aa48f57caf1e976a5f05b71e30a58db83c57af485f60a9391dca920
+size 189822
diff --git a/results/train/parabola/problem_1006.png b/results/train/parabola/problem_1006.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c20dafe8c2eb8af6bf3a4b1a56d82222197d667
--- /dev/null
+++ b/results/train/parabola/problem_1006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2ad314d717773c646df78f33d3e7c7aa069549af54b5199d2867fcd4438a455
+size 189126
diff --git a/results/train/parabola/problem_1007.png b/results/train/parabola/problem_1007.png
new file mode 100644
index 0000000000000000000000000000000000000000..19d13a05e13322695d058c9b23cae32180546d13
--- /dev/null
+++ b/results/train/parabola/problem_1007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d02049b81efab206a94eb7c3d2358053eb895859465b81f80f15454228370cc7
+size 188062
diff --git a/results/train/parabola/problem_1019.png b/results/train/parabola/problem_1019.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e62c3d79a84e9e3fc342bd559f22d05a6deb3fc
--- /dev/null
+++ b/results/train/parabola/problem_1019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74c661f7a0b3406ba34b5c8a420c118a4855384c6b0d21974e2be0866506d40c
+size 178010
diff --git a/results/train/parabola/problem_1020.png b/results/train/parabola/problem_1020.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4a1f16b3debdb45c51dab7b54574b80b95306ac
--- /dev/null
+++ b/results/train/parabola/problem_1020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23fe6c0ea97855eb50feada3a79c7f5cf4812db81430f0d45a8c311285c4493f
+size 171393
diff --git a/results/train/parabola/problem_1041.png b/results/train/parabola/problem_1041.png
new file mode 100644
index 0000000000000000000000000000000000000000..bccfe9b3a8925ac8af2817655b7f2b42670c873e
--- /dev/null
+++ b/results/train/parabola/problem_1041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ded639405fd53b8fe9a2c384ae52dcfa37e25d36535bae2866231f91127ea92
+size 191357
diff --git a/results/train/parabola/problem_1043.png b/results/train/parabola/problem_1043.png
new file mode 100644
index 0000000000000000000000000000000000000000..77fa200b201a2b178df5e33413e96d565fe38e6b
--- /dev/null
+++ b/results/train/parabola/problem_1043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b87b7829a7d1b04803e1cd336dee96bf49f0ef25a50225ae44bfc51ad1156b69
+size 197241
diff --git a/results/train/parabola/problem_1046.png b/results/train/parabola/problem_1046.png
new file mode 100644
index 0000000000000000000000000000000000000000..322e14dd5feb61548b702ce4384f6f4375762a8d
--- /dev/null
+++ b/results/train/parabola/problem_1046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b17d90fde9d863b525df9231dcd24c2d617236e21ce0dd829fcdd7d7b3ef2284
+size 195963
diff --git a/results/train/parabola/problem_1048.png b/results/train/parabola/problem_1048.png
new file mode 100644
index 0000000000000000000000000000000000000000..f41a45f31dbe6a7af84e39204a7a7f1abd1c86bf
--- /dev/null
+++ b/results/train/parabola/problem_1048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da84decc6ff25ff2eada516ba5b0c45e04935d85e951dacc6c3446ba218f7a7c
+size 196220
diff --git a/results/train/parabola/problem_1050.png b/results/train/parabola/problem_1050.png
new file mode 100644
index 0000000000000000000000000000000000000000..367d0537fbb2370d5cc94fca9ca42bd19f72d150
--- /dev/null
+++ b/results/train/parabola/problem_1050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28393806a22c88b31d91f41661ac99ae23ca89e349b7a9d5b09f32f8a9f563aa
+size 202963
diff --git a/results/train/parabola/problem_1056.png b/results/train/parabola/problem_1056.png
new file mode 100644
index 0000000000000000000000000000000000000000..bdcb4dda08586de9455d0982dee40699060a23d8
--- /dev/null
+++ b/results/train/parabola/problem_1056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b7324523d6034bd03c8a4e0363882bc67ba0613e0590d29b5cdb8f4b1d7a4ef
+size 197861
diff --git a/results/train/parabola/problem_1057.png b/results/train/parabola/problem_1057.png
new file mode 100644
index 0000000000000000000000000000000000000000..394df3ee12dbc85539bab401f0a6cdcfc6f4ba4e
--- /dev/null
+++ b/results/train/parabola/problem_1057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b59bb7ceb883bcbf9e8c32196febca345fd59273960bb5a9bcbf157a508370f5
+size 185586
diff --git a/results/train/parabola/problem_1058.png b/results/train/parabola/problem_1058.png
new file mode 100644
index 0000000000000000000000000000000000000000..50381bbc7a6a3c0e1ba2c8594026e2f14169dc97
--- /dev/null
+++ b/results/train/parabola/problem_1058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2061d02762c3ca99aab49a7f8f4fa84fde0a83eec23ae14bb6431c0ff56d0e0c
+size 187004
diff --git a/results/train/parabola/problem_1060.png b/results/train/parabola/problem_1060.png
new file mode 100644
index 0000000000000000000000000000000000000000..50fa85e4543647cc9d6d7e82efa3056aaf322b1c
--- /dev/null
+++ b/results/train/parabola/problem_1060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85681a0fd993b84963a7b0394815cc3e4c2039a4ba1c63594dbc28ab58f3cd17
+size 182578
diff --git a/results/train/parabola/problem_1061.png b/results/train/parabola/problem_1061.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0245e72ccb2e385e2ca6ea626aca3d8f22bc36c
--- /dev/null
+++ b/results/train/parabola/problem_1061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf4b5de2947dffdc18dc39bf318f74af7e92746996597b259dfcca57cebf1a76
+size 203964
diff --git a/results/train/parabola/problem_1065.png b/results/train/parabola/problem_1065.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b261353573cb727542f46987cdc10077c489c7b
--- /dev/null
+++ b/results/train/parabola/problem_1065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12362e34c00066359f07269422786e3a1dd94cfdae9ad756392be73c09028ec9
+size 186264
diff --git a/results/train/parabola/problem_1068.png b/results/train/parabola/problem_1068.png
new file mode 100644
index 0000000000000000000000000000000000000000..93a8d617a3751537b92a96aa290b651f22f2644d
--- /dev/null
+++ b/results/train/parabola/problem_1068.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb55b1f60ff5e88378d3cbb19c46967da75f443a7034cfafc3c4674d9540a6cb
+size 199484
diff --git a/results/train/parabola/problem_1071.png b/results/train/parabola/problem_1071.png
new file mode 100644
index 0000000000000000000000000000000000000000..f90c43489a0fd1bc3ca5648005b13eb83101d155
--- /dev/null
+++ b/results/train/parabola/problem_1071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a575b3684488be237cfc904f2c2304e497291318866071350f393805ce0f1414
+size 191605
diff --git a/results/train/parabola/problem_1076.png b/results/train/parabola/problem_1076.png
new file mode 100644
index 0000000000000000000000000000000000000000..9442d4d5979b1e5e89236785174d95d5b91a4966
--- /dev/null
+++ b/results/train/parabola/problem_1076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14628eaa9e22cfb8f1a1ab10e892fda88ed82266439923523ad8d2cc17c07000
+size 157985
diff --git a/results/train/parabola/problem_1080.png b/results/train/parabola/problem_1080.png
new file mode 100644
index 0000000000000000000000000000000000000000..dddc98d773d650bcc35309cfa663dc175bcfabf6
--- /dev/null
+++ b/results/train/parabola/problem_1080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2913c2fa4acf0dbfcf2c0d902291f34093b4c26d68f5bfbb1c682f49ac5ab539
+size 189018
diff --git a/results/train/parabola/problem_1082.png b/results/train/parabola/problem_1082.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b0f1159298650bc70c08575d0f59f6e1899c82e
--- /dev/null
+++ b/results/train/parabola/problem_1082.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4749a6fe23bb52b62f15ae49d74b3c09251f0f512db4453d030373affd70e773
+size 189672
diff --git a/results/train/parabola/problem_1089.png b/results/train/parabola/problem_1089.png
new file mode 100644
index 0000000000000000000000000000000000000000..81211c4dbb4dfa465335006d23ae70b45cf0e685
--- /dev/null
+++ b/results/train/parabola/problem_1089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88d78f67d8f1485c1284e31e88d830f7858b48f5c750bdd1f25a60bc6b819bb3
+size 202650
diff --git a/results/train/parabola/problem_1093.png b/results/train/parabola/problem_1093.png
new file mode 100644
index 0000000000000000000000000000000000000000..65ebc0b3a2464acec358f230daf5d95a78627131
--- /dev/null
+++ b/results/train/parabola/problem_1093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6244d324a9afc3da734b54ef5ee11bf7e581cb498025b7b01f3646bd1ad0bed4
+size 195951
diff --git a/results/train/parabola/problem_1094.png b/results/train/parabola/problem_1094.png
new file mode 100644
index 0000000000000000000000000000000000000000..0657f06ed18a5a5ca5e37dc436c31c54fa0ef507
--- /dev/null
+++ b/results/train/parabola/problem_1094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab77e3878ba2d5e250f1fe2e0f9591645e501142d5fb87f22684972d5edbc3c9
+size 198309
diff --git a/results/train/parabola/problem_1102.png b/results/train/parabola/problem_1102.png
new file mode 100644
index 0000000000000000000000000000000000000000..00a85796211ff9faebff6902f58152a8c5d1008f
--- /dev/null
+++ b/results/train/parabola/problem_1102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c9c09404492447551dd48647ab7575c9d157eb19c412801b9b477196254f556
+size 183838
diff --git a/results/train/parabola/problem_1107.png b/results/train/parabola/problem_1107.png
new file mode 100644
index 0000000000000000000000000000000000000000..68ff4c67c6c6858c66fd99a43c01b66598733bde
--- /dev/null
+++ b/results/train/parabola/problem_1107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fab80baf4c1674433fa2a9c259591caf92fc42696ed09ed9bf1f61ced14693e
+size 182269
diff --git a/results/train/parabola/problem_1115.png b/results/train/parabola/problem_1115.png
new file mode 100644
index 0000000000000000000000000000000000000000..f48f0a9e4f013bf1e63a9ed51a7536b96691db07
--- /dev/null
+++ b/results/train/parabola/problem_1115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45b6c170462721e460d979f7a3c3f50fec60b9e188cf055a76509077fef622f2
+size 192473
diff --git a/results/train/parabola/problem_1116.png b/results/train/parabola/problem_1116.png
new file mode 100644
index 0000000000000000000000000000000000000000..d867e2078a109afebe8d7454167765f404e3dd77
--- /dev/null
+++ b/results/train/parabola/problem_1116.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e173367e2b9e183a3c0710d7405e821c3a85024253778186cfba8ad8ee70481a
+size 187883
diff --git a/results/train/parabola/problem_1119.png b/results/train/parabola/problem_1119.png
new file mode 100644
index 0000000000000000000000000000000000000000..41a7cc852e9f5368cab139c3503ea2df2fa55a2b
--- /dev/null
+++ b/results/train/parabola/problem_1119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a1e825de32c2e80a38ab00f8c689a8b3d3e04cb1a655800a27e9083ab22ffbf
+size 203408
diff --git a/results/train/parabola/problem_1121.png b/results/train/parabola/problem_1121.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e630adcc9368950513509fb1c5bf34f4cc95be5
--- /dev/null
+++ b/results/train/parabola/problem_1121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42ceb8988ce13749f264ead992ed043db7ab6d5323ac29054184c0f0e8b714ed
+size 197614
diff --git a/results/train/parabola/problem_1128.png b/results/train/parabola/problem_1128.png
new file mode 100644
index 0000000000000000000000000000000000000000..c97bc57a4c5e3bc9a79ad404ca5e5edf38f1aed7
--- /dev/null
+++ b/results/train/parabola/problem_1128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af8a9e9370872d4e1adc84aea2721e3fd39e48c0a58904a974a85e82732782d8
+size 194373
diff --git a/results/train/parabola/problem_1131.png b/results/train/parabola/problem_1131.png
new file mode 100644
index 0000000000000000000000000000000000000000..85b51cb9cae7e677f091067e1b6942fb699fe6e2
--- /dev/null
+++ b/results/train/parabola/problem_1131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ee26924eb3ef391de66de327297772be8f3353ce8d4590e18fa3866ed5a981d
+size 185461
diff --git a/results/train/parabola/problem_1136.png b/results/train/parabola/problem_1136.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ca995261688a64fdfa82bb38f9a0f3edda16f19
--- /dev/null
+++ b/results/train/parabola/problem_1136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:069ef85fde14e42b371c0aad8474a5f4861cf8d6b663220711b0c9857ec5efd7
+size 196180
diff --git a/results/train/parabola/problem_1142.png b/results/train/parabola/problem_1142.png
new file mode 100644
index 0000000000000000000000000000000000000000..864fecfe3b3084087ef83855a4e88d718e362397
--- /dev/null
+++ b/results/train/parabola/problem_1142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91695f7afe68c6f3fe01ee0a1b2fe622b1609655948db4f9fe5b6072d53d1a05
+size 198011
diff --git a/results/train/parabola/problem_1145.png b/results/train/parabola/problem_1145.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa9ed77f07bcde0ec84f90fab4194fdec3ae3a58
--- /dev/null
+++ b/results/train/parabola/problem_1145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be16ada33e5ecb3eccdc45e1a13bc0dcce873d13f6af71c6990e61f35966cfb3
+size 190337
diff --git a/results/train/parabola/problem_1146.png b/results/train/parabola/problem_1146.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c6236a1675e88b3006c32220e2807a8c00832ba
--- /dev/null
+++ b/results/train/parabola/problem_1146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:007efe2411b7ffa4267fd7a4ad4083f0fd29184efd21e8673885f7b05f48fda5
+size 193239
diff --git a/results/train/parabola/problem_1151.png b/results/train/parabola/problem_1151.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a94ba2fa4ee9431a87564a59a8556c9c5701339
--- /dev/null
+++ b/results/train/parabola/problem_1151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02764acddcad9c1ea92c302b5036f7dade53613f33de482d03cc5c343c0515b3
+size 188856
diff --git a/results/train/parabola/problem_1162.png b/results/train/parabola/problem_1162.png
new file mode 100644
index 0000000000000000000000000000000000000000..3637b6ae9e267e11b6f57e3e8b39ef9d4433303d
--- /dev/null
+++ b/results/train/parabola/problem_1162.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:94ba0134049de254a74a210b04d9c517c270994dfc7a19048e48e834316738a4
+size 190415
diff --git a/results/train/parabola/problem_1163.png b/results/train/parabola/problem_1163.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a04dcd5a1c7e9c3d9e25a84961dd4eb4e6fdcf2
--- /dev/null
+++ b/results/train/parabola/problem_1163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87aa130d3b46ca156cce60bbae729c9ec946127f34e3508a28efdb8b40f2fe6c
+size 200539
diff --git a/results/train/parabola/problem_1167.png b/results/train/parabola/problem_1167.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfb5cd361eaafb506d7ab6effd200955180c8cb4
--- /dev/null
+++ b/results/train/parabola/problem_1167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:812fd2d2c18b9110f5516636282b583afcc4c8df6ae163ea3d526e4a86b9c047
+size 175925
diff --git a/results/train/parabola/problem_1169.png b/results/train/parabola/problem_1169.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6b06cf6afa614bddb6c911c015f673afbad5294
--- /dev/null
+++ b/results/train/parabola/problem_1169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0520ff21fe0190704b8aa7ae185a3e3015ac19cb9660ddf337276a7672a614e
+size 207455
diff --git a/results/train/parabola/problem_1175.png b/results/train/parabola/problem_1175.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7c29172431435ef2e297b7718d248c389177494
--- /dev/null
+++ b/results/train/parabola/problem_1175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba8eeb548efb956ef0cf582b6830990dc62a20ab423529af97c21d2a23ea2bc0
+size 186830
diff --git a/results/train/parabola/problem_1178.png b/results/train/parabola/problem_1178.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a2c9c13faa16c20b6f0d9215e5173265dafde58
--- /dev/null
+++ b/results/train/parabola/problem_1178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bd2d9475144482cb7acc62a709ef76507a8ab7ad13ec5cc565548c4dd8c2c4c
+size 195172
diff --git a/results/train/parabola/problem_1182.png b/results/train/parabola/problem_1182.png
new file mode 100644
index 0000000000000000000000000000000000000000..68eba15b5a6590cd14d235af28304a1f591b954a
--- /dev/null
+++ b/results/train/parabola/problem_1182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afc2512d3e36f18519498d6aa356765e10920c0bdb5bf2416e7bece473950e3c
+size 204322
diff --git a/results/train/parabola/problem_1187.png b/results/train/parabola/problem_1187.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfb6d5a84d743ac0e4a53fdd7ac51e9bd62f4a5b
--- /dev/null
+++ b/results/train/parabola/problem_1187.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e60372230909cf6edef548470e51ae538105b6013f50ef5bd7111c8f6744251
+size 191807
diff --git a/results/train/parabola/problem_1188.png b/results/train/parabola/problem_1188.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4a6cee324a6daacfeb0c1e3bed9c479069e8ce5
--- /dev/null
+++ b/results/train/parabola/problem_1188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46f1a31337e8e2ae008e0092a6cad4c037d8b79672934df14792b846ee001ea2
+size 199074
diff --git a/results/train/parabola/problem_1190.png b/results/train/parabola/problem_1190.png
new file mode 100644
index 0000000000000000000000000000000000000000..c08ba23e3debed84acad049a4b985c309bd193e6
--- /dev/null
+++ b/results/train/parabola/problem_1190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25fe7c3a5a119e69975e80e28c4be03db54238b62720ee90aed74732c1c62d5c
+size 198799
diff --git a/results/train/parabola/problem_1195.png b/results/train/parabola/problem_1195.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae86963477144d7b085f6230b238c556b3634a12
--- /dev/null
+++ b/results/train/parabola/problem_1195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4fc5880c992739e962cc7c5fc4de478804dd320afaac59edb625a8e519f5421
+size 186959
diff --git a/results/train/parabola/problem_1206.png b/results/train/parabola/problem_1206.png
new file mode 100644
index 0000000000000000000000000000000000000000..c76b9b059453cfb2eb17e08b05124483d22b4738
--- /dev/null
+++ b/results/train/parabola/problem_1206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1e16b430f2cca2bd6d273c7c5bd3b7f0f204a5fec5ec8bb25628abb06b3182d
+size 183984
diff --git a/results/train/parabola/problem_1209.png b/results/train/parabola/problem_1209.png
new file mode 100644
index 0000000000000000000000000000000000000000..92cf32afe52b4423e55251ac0dec51d49473cf85
--- /dev/null
+++ b/results/train/parabola/problem_1209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35310dc84b01c75a01e9bb62cc94b8ee548225f072b3c38839c01994a9e34297
+size 195336
diff --git a/results/train/parabola/problem_1213.png b/results/train/parabola/problem_1213.png
new file mode 100644
index 0000000000000000000000000000000000000000..31b56c4576f049b3f365ef07495d0f993adb58a7
--- /dev/null
+++ b/results/train/parabola/problem_1213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0fe2ff37615f7929bcd6853c1649f6f50f1101a0ab8f30de18abd56ba3a40ab
+size 190021
diff --git a/results/train/parabola/problem_1215.png b/results/train/parabola/problem_1215.png
new file mode 100644
index 0000000000000000000000000000000000000000..e74c28a237a3fbef0ff0dff13cdb468c38563ac2
--- /dev/null
+++ b/results/train/parabola/problem_1215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c2002e7f6e3249a7b4c0f2e25469732b67909b86c6fb6c242307c2ecdf50d0e
+size 185487
diff --git a/results/train/parabola/problem_1219.png b/results/train/parabola/problem_1219.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb22a7551c56a01f10884e9023f4c996466c7538
--- /dev/null
+++ b/results/train/parabola/problem_1219.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1af868c21b049f5fb24443fd8fc6aa083ecfee81b4699726e9b4747c08c5965
+size 191863
diff --git a/results/train/parabola/problem_1220.png b/results/train/parabola/problem_1220.png
new file mode 100644
index 0000000000000000000000000000000000000000..7edf4d01cb508258acc3800c5d2ca5810f6fd71f
--- /dev/null
+++ b/results/train/parabola/problem_1220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10e3a691430d51bf9e4a9b85c89f9ca4d95ed229ed538aac603f9ff7a4dee164
+size 194056
diff --git a/results/train/parabola/problem_1225.png b/results/train/parabola/problem_1225.png
new file mode 100644
index 0000000000000000000000000000000000000000..880f1f3817eab224140fdd35813c51956b0f4e9d
--- /dev/null
+++ b/results/train/parabola/problem_1225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:714297a4a18f9d48e5c48d265e05ddc5a71bfcefad07444b3801a071435cb9c7
+size 199590
diff --git a/results/train/parabola/problem_1230.png b/results/train/parabola/problem_1230.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec66e411ff6c2bd7f6baaa5bdde4039b88f02ccb
--- /dev/null
+++ b/results/train/parabola/problem_1230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84d770a7f8bcaddc161bf5027e49f42c95d7a3a31201b12c285f9d254afc9309
+size 181766
diff --git a/results/train/parabola/problem_1241.png b/results/train/parabola/problem_1241.png
new file mode 100644
index 0000000000000000000000000000000000000000..2071ad959deba1a79d590d45058b9be0ea413b08
--- /dev/null
+++ b/results/train/parabola/problem_1241.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ab9c1bb7336b17c67d05a93c5906512211e32568fbf61e65792336f97e3413f
+size 194144
diff --git a/results/train/parabola/problem_1244.png b/results/train/parabola/problem_1244.png
new file mode 100644
index 0000000000000000000000000000000000000000..977bbf46bf0db96d1f80d789ffd6f4949efe319b
--- /dev/null
+++ b/results/train/parabola/problem_1244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a8a35031c14033a8e2f2e2d7f7dc454e0db064e52adf36c65de1862fbb8258e
+size 171703
diff --git a/results/train/parabola/problem_1245.png b/results/train/parabola/problem_1245.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd8dad7db867a125df540c19ca127cf8641b3fba
--- /dev/null
+++ b/results/train/parabola/problem_1245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57bf6d0365fe20ed2c49de685acf5a5804b36b47b7a3ea1b68df7d4a5c98941b
+size 189342
diff --git a/results/train/parabola/problem_1246.png b/results/train/parabola/problem_1246.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5b7f7125528dfd351ea31e1de63fd3d4d4b58de
--- /dev/null
+++ b/results/train/parabola/problem_1246.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d313b620eba6acf8f3445c3f2b9b12788277f9043520e34cc5b19250a4d658c7
+size 188594
diff --git a/results/train/parabola/problem_1247.png b/results/train/parabola/problem_1247.png
new file mode 100644
index 0000000000000000000000000000000000000000..206bcf8a10270e85b59c32a6d80024017dc04f16
--- /dev/null
+++ b/results/train/parabola/problem_1247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1e7c87e7c2d05289b687ff91bd57297483498bf5471191d3129b2c76ab9d9bc
+size 194028
diff --git a/results/train/parabola/problem_1251.png b/results/train/parabola/problem_1251.png
new file mode 100644
index 0000000000000000000000000000000000000000..40f27ffad3f583a1308887d6601a208c9f85b2dd
--- /dev/null
+++ b/results/train/parabola/problem_1251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e49edc55cf0a1efa13c817647047ad36edc3f87808a34cc85b8b8587e82856da
+size 200256
diff --git a/results/train/parabola/problem_1253.png b/results/train/parabola/problem_1253.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf2c2b5dc4152dd9d79eead5ff9d924a878382d6
--- /dev/null
+++ b/results/train/parabola/problem_1253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a5e6e311c5edff71d221699e0f34892e6645770b45af75b32a41ae9d38a7171
+size 191128
diff --git a/results/train/parabola/problem_1254.png b/results/train/parabola/problem_1254.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd7a9a585f857d1476f76ce1f0b3423b01d2e7dd
--- /dev/null
+++ b/results/train/parabola/problem_1254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2725ec77214fc13382a6d9388654cac3dcc6b0144faf37d9f8470c780588a159
+size 188968
diff --git a/results/train/parabola/problem_1265.png b/results/train/parabola/problem_1265.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7d0b60102ed753d54b8a3e909971c0a670920bc
--- /dev/null
+++ b/results/train/parabola/problem_1265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce8a449351e50d514ea0ce058af7dc582581d4d5cb5a6aa5aed50d1100485236
+size 185463
diff --git a/results/train/parabola/problem_1266.png b/results/train/parabola/problem_1266.png
new file mode 100644
index 0000000000000000000000000000000000000000..d045c84f8912e98089f04f40ba49c7ee17c02803
--- /dev/null
+++ b/results/train/parabola/problem_1266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:935ea3ab6dc38d2a56ab9b60e6628a908dfb2457f49318339993fb2e5e368371
+size 205702
diff --git a/results/train/parabola/problem_1275.png b/results/train/parabola/problem_1275.png
new file mode 100644
index 0000000000000000000000000000000000000000..5de2e6dc41d93badf6678653e499ef07b2af3113
--- /dev/null
+++ b/results/train/parabola/problem_1275.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ba83db3a9681d185696000749021959b7db93dc080f6f5e8167bd800ac40885
+size 198562
diff --git a/results/train/parabola/problem_1276.png b/results/train/parabola/problem_1276.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f728070e4504c04fe8396f57df7175ef6e08b97
--- /dev/null
+++ b/results/train/parabola/problem_1276.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:196e718cc130315bbda1a739092b14cc826928b07616811f068fbb8dd58bd1a5
+size 180181
diff --git a/results/train/parabola/problem_1286.png b/results/train/parabola/problem_1286.png
new file mode 100644
index 0000000000000000000000000000000000000000..bede97a32e325f02c940714cff39b34a4c985b05
--- /dev/null
+++ b/results/train/parabola/problem_1286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9deb36f6e185fbd3069ce28c87ad8c577129fd82188e49150e6f4c23abc869aa
+size 202879
diff --git a/results/train/parabola/problem_1287.png b/results/train/parabola/problem_1287.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd41d290ce5c97970b83fe7f475e75f9992a40b3
--- /dev/null
+++ b/results/train/parabola/problem_1287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc2cb0987a73a8ca854407b0431f7922dc9bf2e908975e41efdac02ec35f46e8
+size 206708
diff --git a/results/train/parabola/problem_1289.png b/results/train/parabola/problem_1289.png
new file mode 100644
index 0000000000000000000000000000000000000000..cafd92da989e2685f9c1ee419c5d52dc971dd834
--- /dev/null
+++ b/results/train/parabola/problem_1289.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:851c4eb706e333c4f4a335e735ff013ff75046e913259208552cc793692fac09
+size 190044
diff --git a/results/train/parabola/problem_1294.png b/results/train/parabola/problem_1294.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcd1e86aec2ad1c956b7086df428ef5f39927c8b
--- /dev/null
+++ b/results/train/parabola/problem_1294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8c2c921e98e0adb13ae9543206e3837274a269d34f9947136c4b76e4edddde8
+size 188538
diff --git a/results/train/parabola/problem_1295.png b/results/train/parabola/problem_1295.png
new file mode 100644
index 0000000000000000000000000000000000000000..37e70cfcae51b3536835f7e7eb58e42a48cc8b0a
--- /dev/null
+++ b/results/train/parabola/problem_1295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19cc57055d2dd5f633420b37026eb5f1392753b97b09f9a36fc944b9b7c29d6b
+size 203135
diff --git a/results/train/parabola/problem_1296.png b/results/train/parabola/problem_1296.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6d5e92140a19409a4def71e777eb9bde930ba42
--- /dev/null
+++ b/results/train/parabola/problem_1296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d23bae2ddc296e4fda982b2c3157a75995e0bff7965d9436bc774bde2af19a2a
+size 198153
diff --git a/results/train/parabola/problem_1300.png b/results/train/parabola/problem_1300.png
new file mode 100644
index 0000000000000000000000000000000000000000..1bc0f4fa78e9d339329bf326046221daba033246
--- /dev/null
+++ b/results/train/parabola/problem_1300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50359f23e698bf083cca081eb297359a46dd304c94b227645f3a7681a337a797
+size 190165
diff --git a/results/train/parabola/problem_1304.png b/results/train/parabola/problem_1304.png
new file mode 100644
index 0000000000000000000000000000000000000000..84c45af94c16d1da9919d85689689ed7a53fe711
--- /dev/null
+++ b/results/train/parabola/problem_1304.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ffcfb0b7b49b3d495bf623600f7e4ac131d7d0e7450232b67e4147e23d9481b
+size 195249
diff --git a/results/train/parabola/problem_1307.png b/results/train/parabola/problem_1307.png
new file mode 100644
index 0000000000000000000000000000000000000000..3448e0af458a73a5ed985be14dc84ec2e728940b
--- /dev/null
+++ b/results/train/parabola/problem_1307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8e0f2e63c46d822f1ab14a614132d8906fe73ac3a6a91ecbad1a7a686139402
+size 173080
diff --git a/results/train/parabola/problem_1309.png b/results/train/parabola/problem_1309.png
new file mode 100644
index 0000000000000000000000000000000000000000..a74b23f96d8ffb93b8cb9c54012fb3b3dc53955f
--- /dev/null
+++ b/results/train/parabola/problem_1309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c55a32693b2cc9e7650f5a4937456772aded3798d03f6ee9520e534a54b3711c
+size 193232
diff --git a/results/train/parabola/problem_1321.png b/results/train/parabola/problem_1321.png
new file mode 100644
index 0000000000000000000000000000000000000000..5cb1be1985208e17e5004e7e1d83a1b144d13e75
--- /dev/null
+++ b/results/train/parabola/problem_1321.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:361dffddc7ed249746803ec65ffbf9f1ac459092a2c3dd2315230d3f0091aa1b
+size 181188
diff --git a/results/train/parabola/problem_1326.png b/results/train/parabola/problem_1326.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ed374a99bd963a4aedfe77fdf04cf82f1887932
--- /dev/null
+++ b/results/train/parabola/problem_1326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ac0b6e5bf0568a060e7164d60b5c7d478f8d307212c1c1c376cec105c0a1ad8
+size 193607
diff --git a/results/train/parabola/problem_1329.png b/results/train/parabola/problem_1329.png
new file mode 100644
index 0000000000000000000000000000000000000000..65477ee74a9ee94f401eab1516c5332937d7e558
--- /dev/null
+++ b/results/train/parabola/problem_1329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbfe82bac9c6a413a3f301b32c600137d7078083ead71aa292479bea819b8046
+size 186805
diff --git a/results/train/parabola/problem_1341.png b/results/train/parabola/problem_1341.png
new file mode 100644
index 0000000000000000000000000000000000000000..232745e22c2496daf51f4c2fff7f8ae97334549a
--- /dev/null
+++ b/results/train/parabola/problem_1341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dc14dbc368f0a694c955136bf35784860655ad20bfe6a25a91aa90e95220533
+size 201787
diff --git a/results/train/parabola/problem_1353.png b/results/train/parabola/problem_1353.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e035235926cd9a2e0cdf35a5ff75f50d2f2c039
--- /dev/null
+++ b/results/train/parabola/problem_1353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69c551246ac53b9792c96564e0b21fe14a44e73e1106f6f01c8c8af4f5b18420
+size 149013
diff --git a/results/train/parabola/problem_1360.png b/results/train/parabola/problem_1360.png
new file mode 100644
index 0000000000000000000000000000000000000000..15af64ce61674dd4ea57e71b02ac21433582e27e
--- /dev/null
+++ b/results/train/parabola/problem_1360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c171c4caaa3234291ee33bf8e6a57911a5af77e27f21df50b9385a9cad3d24f7
+size 194286
diff --git a/results/train/parabola/problem_1361.png b/results/train/parabola/problem_1361.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c9459db72e320a03707df4f4d9bb4bc7ccf063c
--- /dev/null
+++ b/results/train/parabola/problem_1361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ab7742c74f643c516967c80e4fe4f69b3610c14c8c5a35b855781a4d5da06e4
+size 170697
diff --git a/results/train/parabola/problem_1366.png b/results/train/parabola/problem_1366.png
new file mode 100644
index 0000000000000000000000000000000000000000..824ad58dcfbc8b9c6a662b9cf677909bf5378e2a
--- /dev/null
+++ b/results/train/parabola/problem_1366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7bbcfa248bc87455255b624fbeef16a34275852ece339d73f8dcf98c29e1b8a
+size 188982
diff --git a/results/train/parabola/problem_1371.png b/results/train/parabola/problem_1371.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0e7438f35a9cce2b61381908af81fe66d4ee356
--- /dev/null
+++ b/results/train/parabola/problem_1371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1fa7b65fee33a89208175627c1e7f5ffb28c51df7c1bd6adb1b2c0c34d50c26
+size 189711
diff --git a/results/train/parabola/problem_1372.png b/results/train/parabola/problem_1372.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc58bd51aa6a10d1979e548a22f0a0dc56e707ed
--- /dev/null
+++ b/results/train/parabola/problem_1372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:452a881589ae035e4bee687edd8205c9a9ef45388248d71d08c49a7dd3ccc225
+size 191573
diff --git a/results/train/parabola/problem_1375.png b/results/train/parabola/problem_1375.png
new file mode 100644
index 0000000000000000000000000000000000000000..f77c09e625b8e10a89bf543a901d9563cd4566dc
--- /dev/null
+++ b/results/train/parabola/problem_1375.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc7c44b389219e8cff5737c14f20440eac8368d247807e4a01b2811c22b31726
+size 195709
diff --git a/results/train/parabola/problem_1377.png b/results/train/parabola/problem_1377.png
new file mode 100644
index 0000000000000000000000000000000000000000..66f44017bc2bf2bc34b442c1bb93a6320adb8aa4
--- /dev/null
+++ b/results/train/parabola/problem_1377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08b55172848fee16dc996a1fa3cdb172ad8a989a4b0655ca9a440b165e6814b9
+size 203481
diff --git a/results/train/parabola/problem_1387.png b/results/train/parabola/problem_1387.png
new file mode 100644
index 0000000000000000000000000000000000000000..e587ab246779cea28f41afdb1b22fbbc929e2560
--- /dev/null
+++ b/results/train/parabola/problem_1387.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:204efeb4f13b7781098560d025201b64db8c49fdca6f5af317f44e19cdb32879
+size 200287
diff --git a/results/train/parabola/problem_1391.png b/results/train/parabola/problem_1391.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2ffe90b0fff34a230982b2f55152f7d11682f2c
--- /dev/null
+++ b/results/train/parabola/problem_1391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d10f63576ac3a2922d8ce54860e208290e7f3a7690b33e9e0a53cf4df341ebd
+size 196198
diff --git a/results/train/parabola/problem_1392.png b/results/train/parabola/problem_1392.png
new file mode 100644
index 0000000000000000000000000000000000000000..c90576f2415c093804ea3a8229cd7b831276821e
--- /dev/null
+++ b/results/train/parabola/problem_1392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0da2cf6c8132ebc0fe84ed1fdfd835fe5439f0924c5e1dd77f97edf1786bcbfe
+size 186946
diff --git a/results/train/parabola/problem_1393.png b/results/train/parabola/problem_1393.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a5a6b994ae1bc5b14cd35452e9f1b98b4c16d51
--- /dev/null
+++ b/results/train/parabola/problem_1393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4352530578c46b66683f1c60b5e9b10bac26fa96b776fe501d50b11f023b44f
+size 206121
diff --git a/results/train/parabola/problem_1395.png b/results/train/parabola/problem_1395.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f0f24ad073d080527e4009edaa26f35c2918d1d
--- /dev/null
+++ b/results/train/parabola/problem_1395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ac24d4433736e7067dd392a51c297b72d0d77203a461c9f5c61325990335a2c
+size 184646
diff --git a/results/train/parabola/problem_1396.png b/results/train/parabola/problem_1396.png
new file mode 100644
index 0000000000000000000000000000000000000000..f280e3a91ae711f788de58c7adec4774bd9350b5
--- /dev/null
+++ b/results/train/parabola/problem_1396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43af30136adab4d7bdae9d1d5537b0840825466e1b62e3ab232cf6e5ed5c790d
+size 181687
diff --git a/results/train/parabola/problem_1397.png b/results/train/parabola/problem_1397.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa3a31612282b9714acc6718cce5d6db6a86d0cb
--- /dev/null
+++ b/results/train/parabola/problem_1397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4964ac9baf8d1dbaeaca1036d43d43ee4ca6033bac0399603e4ad8523d050dc2
+size 191466
diff --git a/results/train/parabola/problem_1401.png b/results/train/parabola/problem_1401.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ed2a8e27299a1e70932a6538b8999fe86866da6
--- /dev/null
+++ b/results/train/parabola/problem_1401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b5ba76637e0bc349da2a5e282fbe704f7debb851073466571e02c3b6f37656e
+size 184614
diff --git a/results/train/parabola/problem_1404.png b/results/train/parabola/problem_1404.png
new file mode 100644
index 0000000000000000000000000000000000000000..29bc190474f13cb7efa0a325c861364efa466d69
--- /dev/null
+++ b/results/train/parabola/problem_1404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3d4ceb3fce6b23d92d8f27d1e133390a95f9ec604c736ccb04c7921834ae34d
+size 190094
diff --git a/results/train/parabola/problem_1405.png b/results/train/parabola/problem_1405.png
new file mode 100644
index 0000000000000000000000000000000000000000..0032b5dfb8862a6b4db69125862b84755180872a
--- /dev/null
+++ b/results/train/parabola/problem_1405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11e9cea6f1016cdd6f53178cebfad49dda88915f263db01b4e72fac484539249
+size 197529
diff --git a/results/train/parabola/problem_1409.png b/results/train/parabola/problem_1409.png
new file mode 100644
index 0000000000000000000000000000000000000000..97227efbf413482a0452e066e3dfe75f05f22914
--- /dev/null
+++ b/results/train/parabola/problem_1409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c5cd67c3b928012041bd67531e4517a4eec64d74b3d17be5976c1066c381999
+size 194663
diff --git a/results/train/parabola/problem_1416.png b/results/train/parabola/problem_1416.png
new file mode 100644
index 0000000000000000000000000000000000000000..61ebd36583931c0766a38cbcdf56f249e649ff76
--- /dev/null
+++ b/results/train/parabola/problem_1416.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8345182c9f64137f00759f8e926a91d1a7ac804a50989ed4b15c7f164a47afb1
+size 162079
diff --git a/results/train/parabola/problem_1420.png b/results/train/parabola/problem_1420.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6cbb8656cfd821250894e5e00d1d9418f7e85ba
--- /dev/null
+++ b/results/train/parabola/problem_1420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eddcad2c69d6b83f86a5d90c8d3b2f9f920be441ac28dcb9e9b2ec14505a3390
+size 196278
diff --git a/results/train/parabola/problem_1424.png b/results/train/parabola/problem_1424.png
new file mode 100644
index 0000000000000000000000000000000000000000..df2b2eece1129432aec88206257df1dbdd971219
--- /dev/null
+++ b/results/train/parabola/problem_1424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:586fe291a5465e2ad1c5497f77422b5be9a6c21085c182c613a7bd04aaab3aaa
+size 200997
diff --git a/results/train/parabola/problem_1426.png b/results/train/parabola/problem_1426.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f3cd5c0f11e1e16c28b63185d8054a1951cf1bb
--- /dev/null
+++ b/results/train/parabola/problem_1426.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e86a2036ef867d16649ed5a8501f554254ffcb7adccd1a1af246fb8ed9829ffb
+size 200709
diff --git a/results/train/parabola/problem_1430.png b/results/train/parabola/problem_1430.png
new file mode 100644
index 0000000000000000000000000000000000000000..71673906b664d07c16534fb87f34933901504ebb
--- /dev/null
+++ b/results/train/parabola/problem_1430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b68eebfe2f5698a94628af3894d22aecd31af71593c254435bbf95bff224310
+size 183521
diff --git a/results/train/parabola/problem_1431.png b/results/train/parabola/problem_1431.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d33e2bb8c5064ffb9adedfec306e2368dd0ff46
--- /dev/null
+++ b/results/train/parabola/problem_1431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4161336a1d77c0dd7db5588980364d3d10573927dc84fa6af0dc36b7f5b384cd
+size 199904
diff --git a/results/train/parabola/problem_1433.png b/results/train/parabola/problem_1433.png
new file mode 100644
index 0000000000000000000000000000000000000000..eef0283085309ecc7f177618ece86c7916738a72
--- /dev/null
+++ b/results/train/parabola/problem_1433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06ba4194f4665968229a5c3d2f3d69fefdeaae5d3d087117ed5fa1eca0f1ef3a
+size 194418
diff --git a/results/train/parabola/problem_1435.png b/results/train/parabola/problem_1435.png
new file mode 100644
index 0000000000000000000000000000000000000000..f12b62c4499e617724ca255bf5439aacdd77048c
--- /dev/null
+++ b/results/train/parabola/problem_1435.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:859294b48bf905eba119218742236b3fdba5819fa21c2b1257a85aed55c497d1
+size 183185
diff --git a/results/train/parabola/problem_1440.png b/results/train/parabola/problem_1440.png
new file mode 100644
index 0000000000000000000000000000000000000000..447e4a0d83d84f7953c835d4211d0149d5fe0b7e
--- /dev/null
+++ b/results/train/parabola/problem_1440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35457393abf3053ad058956698c0ed9a4f6f05d60e0bbe215e38174d428c417e
+size 220654
diff --git a/results/train/parabola/problem_1444.png b/results/train/parabola/problem_1444.png
new file mode 100644
index 0000000000000000000000000000000000000000..7133a061d65d596239379941f7342b9d69ef8178
--- /dev/null
+++ b/results/train/parabola/problem_1444.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a59cafc751a3d4cd267155180112d9d7de892aa2ddd353700e946fbf2d10413
+size 190982
diff --git a/results/train/parabola/problem_1445.png b/results/train/parabola/problem_1445.png
new file mode 100644
index 0000000000000000000000000000000000000000..505788baed511d35cdbd593318b7fb6774d38dfa
--- /dev/null
+++ b/results/train/parabola/problem_1445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62881c65f9355437b30ca5d665556ee2e5e18b96deab329a6e6df8e5eccdcc85
+size 186439
diff --git a/results/train/parabola/problem_1446.png b/results/train/parabola/problem_1446.png
new file mode 100644
index 0000000000000000000000000000000000000000..e05941562c011a8b438d86683b5f6077b43b5761
--- /dev/null
+++ b/results/train/parabola/problem_1446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d353aee93136a237ca6635aeaebcda73b56f53633ef15fb24cbda22c51bc5aa
+size 153171
diff --git a/results/train/parabola/problem_1452.png b/results/train/parabola/problem_1452.png
new file mode 100644
index 0000000000000000000000000000000000000000..b79915370edd9af1a41713622125bf37071dc902
--- /dev/null
+++ b/results/train/parabola/problem_1452.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ae8f36295670d9a2a5f2ea30c72d970f29c2d9ee70bae70908180b15b83daf3
+size 184386
diff --git a/results/train/parabola/problem_1453.png b/results/train/parabola/problem_1453.png
new file mode 100644
index 0000000000000000000000000000000000000000..c62386576b7f90264ecea7866f69c9bac0c442f1
--- /dev/null
+++ b/results/train/parabola/problem_1453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aef532809b3605d417af0f5892c07bb38b1a91d584e77aca22d9e4a7bc256cae
+size 207427
diff --git a/results/train/parabola/problem_1454.png b/results/train/parabola/problem_1454.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4e3ba27c7d2cb9776401f74d4db1711915b1c0a
--- /dev/null
+++ b/results/train/parabola/problem_1454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efff6dcbf49b536adb1ef91fa50b965b93c58427d9b46e8794c9f227bae69b70
+size 188068
diff --git a/results/train/parabola/problem_1463.png b/results/train/parabola/problem_1463.png
new file mode 100644
index 0000000000000000000000000000000000000000..14e592e039f7a8da01a7acf089aed2dbfdc975e4
--- /dev/null
+++ b/results/train/parabola/problem_1463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92a73333c6cd90f36e7a6e68ca7d93c72346dc94d9607a44c45f50d1d8ae6b9e
+size 165147
diff --git a/results/train/parabola/problem_1464.png b/results/train/parabola/problem_1464.png
new file mode 100644
index 0000000000000000000000000000000000000000..2630b19cf835a7bd8787a3cbe65401c8e8c0ea9c
--- /dev/null
+++ b/results/train/parabola/problem_1464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec9c1eb6c6c997814984b61499b34336f6919546bd9517a9cb5bdcfcfa7d2302
+size 180459
diff --git a/results/train/parabola/problem_1468.png b/results/train/parabola/problem_1468.png
new file mode 100644
index 0000000000000000000000000000000000000000..d257049479cacb6abfff87c962defd79913b2c5e
--- /dev/null
+++ b/results/train/parabola/problem_1468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3fe522bf72746c68005ec988a36d0948dea8e7c0df5fc8f05926b62635ea82d
+size 199310
diff --git a/results/train/parabola/problem_1470.png b/results/train/parabola/problem_1470.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1c8a6378b094ef73b4e12a08de8249cd47ee5f8
--- /dev/null
+++ b/results/train/parabola/problem_1470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31a94133c5fab2b2b84eb77021adb84c5a57f83354235cfd2168b70240ad6180
+size 155546
diff --git a/results/train/parabola/problem_1471.png b/results/train/parabola/problem_1471.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce2ecefc94426c3c6fe5dad842b387b7b55af959
--- /dev/null
+++ b/results/train/parabola/problem_1471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3aaad528d805813ab7dd844afb2d4bc30286ae427f40562b61562a2a4423d5bc
+size 186961
diff --git a/results/train/parabola/problem_1475.png b/results/train/parabola/problem_1475.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b1f12ea009f03369ed3135e31287c8d86eecb0a
--- /dev/null
+++ b/results/train/parabola/problem_1475.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fecbca636f0e1a2dcb9e05d1ec2d15bde686961b08c4e3c50a38d0b73b590026
+size 192495
diff --git a/results/train/parabola/problem_1486.png b/results/train/parabola/problem_1486.png
new file mode 100644
index 0000000000000000000000000000000000000000..03941616f17384f779726e2e1878d24360d7f59f
--- /dev/null
+++ b/results/train/parabola/problem_1486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58c1c219ba1767d11398bc9b5fd2fe770650b6c3b4cfb97589cb14233ce38cf0
+size 190945
diff --git a/results/train/parabola/problem_1493.png b/results/train/parabola/problem_1493.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba955ad7d4f54b56ea40fa51ce00e56fa2042826
--- /dev/null
+++ b/results/train/parabola/problem_1493.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fcd834ca17e32d9fc3db2b7115d27155587463595b14536ccb25f4ad44882c9
+size 192650
diff --git a/results/train/parabola/problem_1495.png b/results/train/parabola/problem_1495.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bf4d80848a5db4f697a89497528234e4b165ef3
--- /dev/null
+++ b/results/train/parabola/problem_1495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c5d07b937da0a0ad482861f19d19ca49c43268f87cc74d78a9813efce04c1a0
+size 188604
diff --git a/results/train/parabola/problem_1497.png b/results/train/parabola/problem_1497.png
new file mode 100644
index 0000000000000000000000000000000000000000..55704b1fcb596b9e7ea31759d47f26e4dda0159d
--- /dev/null
+++ b/results/train/parabola/problem_1497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1849f8759b726aa546a6d8c14b027e1f997c100863c2600c9a652b282a73e594
+size 191977
diff --git a/results/train/parabola/problem_1498.png b/results/train/parabola/problem_1498.png
new file mode 100644
index 0000000000000000000000000000000000000000..46b641f63d9178b0c658392744178a06c60a3044
--- /dev/null
+++ b/results/train/parabola/problem_1498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b34c12289731b4e46dbe422c317b7dc238099a9ab31e1e5a3ebabfad0474ad10
+size 191231
diff --git a/results/train/parabola/problem_1512.png b/results/train/parabola/problem_1512.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cf7a72234e86f69e1467fbf8cad176cbe861eaa
--- /dev/null
+++ b/results/train/parabola/problem_1512.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe8aa8846acf1424e1b7e854758128b23175627d79646693b0b63bb1923d0d8f
+size 189950
diff --git a/results/train/parabola/problem_1517.png b/results/train/parabola/problem_1517.png
new file mode 100644
index 0000000000000000000000000000000000000000..005887d20abc473f7c13649e7d1d8d37251d26ca
--- /dev/null
+++ b/results/train/parabola/problem_1517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:859903236442c1f9259d4a650ecacce3f21ac10e67cd632ad80b9cc96a6d8f53
+size 188860
diff --git a/results/train/parabola/problem_1520.png b/results/train/parabola/problem_1520.png
new file mode 100644
index 0000000000000000000000000000000000000000..5346058689a9f0c83f3b4c97a7c09075e398518a
--- /dev/null
+++ b/results/train/parabola/problem_1520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:888b8e7d6a8fdb13b463244ccf1e9acb7a266c7999c588a7eae72fcc341971f9
+size 201790
diff --git a/results/train/parabola/problem_1523.png b/results/train/parabola/problem_1523.png
new file mode 100644
index 0000000000000000000000000000000000000000..6de5a185fec19f6d93b3889207ccacf779d307e2
--- /dev/null
+++ b/results/train/parabola/problem_1523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aaeaf6728ab560242d1ec22ed33a0cd78f024df6f06ee91923f56115a00b965a
+size 188485
diff --git a/results/train/parabola/problem_1526.png b/results/train/parabola/problem_1526.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd5638d98ad293d888e617a5f8b756b6b2ef728e
--- /dev/null
+++ b/results/train/parabola/problem_1526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b3a4d237ef2a16a054659e677fc147338d41bfc3e1f0587d660dc7f611cb759
+size 189447
diff --git a/results/train/parabola/problem_1532.png b/results/train/parabola/problem_1532.png
new file mode 100644
index 0000000000000000000000000000000000000000..b050bd9bc97b6178b406723e484a92e9a0de02f5
--- /dev/null
+++ b/results/train/parabola/problem_1532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0053526e24529121857b8a444ed47dfd7a5716c1db898b61afee095a8ba5bb4c
+size 192701
diff --git a/results/train/parabola/problem_1534.png b/results/train/parabola/problem_1534.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0ce014203af39232648cc4c5e3ec96e031e1a56
--- /dev/null
+++ b/results/train/parabola/problem_1534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4308a24ab4841adb668014c6518702c45d5f8eee6e8f6ba0ba5bb7088b9f1dc
+size 169820
diff --git a/results/train/parabola/problem_1535.png b/results/train/parabola/problem_1535.png
new file mode 100644
index 0000000000000000000000000000000000000000..6970164f6f9f6b62d00ba157026113e5c0320cb1
--- /dev/null
+++ b/results/train/parabola/problem_1535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81baa871b622816ed97dc852d9180eb4ef9a9d69295a85e5cf3f3f6d47006f06
+size 198608
diff --git a/results/train/parabola/problem_1543.png b/results/train/parabola/problem_1543.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa551c3c0f014ccf184546e9bbf82c39663d77a9
--- /dev/null
+++ b/results/train/parabola/problem_1543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de005ef0afc785f12574255c36d7786beae97b5504e385d52094580b03e87892
+size 200199
diff --git a/results/train/parabola/problem_1544.png b/results/train/parabola/problem_1544.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba761051e94f9676c6d269f4cf98f44809d53966
--- /dev/null
+++ b/results/train/parabola/problem_1544.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93a2f6c281df96882a3ae11d6f64d2e472d5c68cc27c39695f1057a990176030
+size 185100
diff --git a/results/train/parabola/problem_1546.png b/results/train/parabola/problem_1546.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0f7c0784be475e9d37c6655ffcfb3df4d967fe0
--- /dev/null
+++ b/results/train/parabola/problem_1546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad73389bd196df4f5c65f1a7cc8dedd9fd8a47ea462993b802064f35c4779e78
+size 189845
diff --git a/results/train/parabola/problem_1547.png b/results/train/parabola/problem_1547.png
new file mode 100644
index 0000000000000000000000000000000000000000..55cdeec4f6187b8d6b2dc932d682cce822c19fa0
--- /dev/null
+++ b/results/train/parabola/problem_1547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a754dc78401bbd71602bbcb28a23741911ede19430db43497e7b6fda0c72126
+size 197912
diff --git a/results/train/parabola/problem_1549.png b/results/train/parabola/problem_1549.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ee7a42c7f04d59f5621027281d58f65417f10e6
--- /dev/null
+++ b/results/train/parabola/problem_1549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d110dd686c590b5e808b5a058caa12fbf42a36caac52784674e9fc7abd805e9
+size 191924
diff --git a/results/train/parabola/problem_1554.png b/results/train/parabola/problem_1554.png
new file mode 100644
index 0000000000000000000000000000000000000000..9109698b86bcb97a840579eede08b067e4323c30
--- /dev/null
+++ b/results/train/parabola/problem_1554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b681601caa30c0c83073b5fadd3e688cbbc94702d5e63a9f88c3e9e081fc42a6
+size 199635
diff --git a/results/train/parabola/problem_1555.png b/results/train/parabola/problem_1555.png
new file mode 100644
index 0000000000000000000000000000000000000000..b46ff96889c38478b2e672dcb6332ae13ed1fdb4
--- /dev/null
+++ b/results/train/parabola/problem_1555.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a67f9c70de36894e77d4671332d17a6d1b99254147b3e4f7e8f1753f493e96c1
+size 200020
diff --git a/results/train/parabola/problem_1558.png b/results/train/parabola/problem_1558.png
new file mode 100644
index 0000000000000000000000000000000000000000..81e2fb3abb6260d4206f8a93e5d555f482d53253
--- /dev/null
+++ b/results/train/parabola/problem_1558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:557d875013a7a1ac0dc8376c63210d33cfff9af30ef5b695f946013fdcf390e4
+size 183473
diff --git a/results/train/parabola/problem_1560.png b/results/train/parabola/problem_1560.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c8445a0ce8907a0341c907aee900f269027c580
--- /dev/null
+++ b/results/train/parabola/problem_1560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b4c11f5b1a18caba1ade4b30afacd6c3f6d25280dee53a2c37e244ec86d8e54
+size 194336
diff --git a/results/train/parabola/problem_1562.png b/results/train/parabola/problem_1562.png
new file mode 100644
index 0000000000000000000000000000000000000000..8cbd35eb2b958e76f25c341d3efd294ac8a693aa
--- /dev/null
+++ b/results/train/parabola/problem_1562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cdfcabf7aac00146619374dac048dd7c8835a3fc79030207f3e3bef8922ec01
+size 187473
diff --git a/results/train/parabola/problem_1563.png b/results/train/parabola/problem_1563.png
new file mode 100644
index 0000000000000000000000000000000000000000..03cf0010c16ede24d2fbd297290cd9f610fdb70f
--- /dev/null
+++ b/results/train/parabola/problem_1563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3e39ecbc6e0f4cbc6ebef3a632e31f54d3fda4f1970a37c06cedbc0c7f17c5e
+size 202591
diff --git a/results/train/parabola/problem_1565.png b/results/train/parabola/problem_1565.png
new file mode 100644
index 0000000000000000000000000000000000000000..14331fd50752ae548853241ba367cb1475616319
--- /dev/null
+++ b/results/train/parabola/problem_1565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ef8ba8e0bdfe5623f7824deeedb19589e51692e02565ef838d1054dcbdaf71f
+size 195891
diff --git a/results/train/parabola/problem_1570.png b/results/train/parabola/problem_1570.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e635fea89088e76885c39fc8232fc6e03de959c
--- /dev/null
+++ b/results/train/parabola/problem_1570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc8ac87505c272fff2f3688d92f761ddabd14bf788576265c5e8fadfd8a25732
+size 191461
diff --git a/results/train/parabola/problem_1582.png b/results/train/parabola/problem_1582.png
new file mode 100644
index 0000000000000000000000000000000000000000..a087877d9696a7ea1ae6a0d6e13ee00cddaf2b6b
--- /dev/null
+++ b/results/train/parabola/problem_1582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f3c18b4959c505122271318415a3fc3233ca38da45f3a1679f86c4f09838676
+size 166711
diff --git a/results/train/parabola/problem_1587.png b/results/train/parabola/problem_1587.png
new file mode 100644
index 0000000000000000000000000000000000000000..75d1ec1718bd00ed60594cb468863dddeeac53cf
--- /dev/null
+++ b/results/train/parabola/problem_1587.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:232128e45edaf37f1e0c0346f91e51242da45857dc52e19e0c348c742066b29d
+size 193637
diff --git a/results/train/parabola/problem_1588.png b/results/train/parabola/problem_1588.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e2835f73005a14a9e69d47662ed657783c22fff
--- /dev/null
+++ b/results/train/parabola/problem_1588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:053367a4e20d223d95e02c203686a6579713a6abe8fcf110472ad53770763b22
+size 201290
diff --git a/results/train/parabola/problem_1590.png b/results/train/parabola/problem_1590.png
new file mode 100644
index 0000000000000000000000000000000000000000..f442bcd6e2d55263ea82448eb9b821d9cc611de6
--- /dev/null
+++ b/results/train/parabola/problem_1590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3adbee7ff970aa069ef3983e0222c88bc6fa2c817fa75e7f4be0554d96609d1b
+size 182888
diff --git a/results/train/parabola/problem_1593.png b/results/train/parabola/problem_1593.png
new file mode 100644
index 0000000000000000000000000000000000000000..27d6e35d78f5ffd37e1311fab3412c534bec663e
--- /dev/null
+++ b/results/train/parabola/problem_1593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40f3844ea34bfa66b8ce89fc5a5c1779c4d57871d50e98a8e72bd6baa5304035
+size 202179
diff --git a/results/train/parabola/problem_1596.png b/results/train/parabola/problem_1596.png
new file mode 100644
index 0000000000000000000000000000000000000000..e51c577912c8fcef524c201707c2abe9d0ef7a46
--- /dev/null
+++ b/results/train/parabola/problem_1596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb90de2811abc76c2212a38e9efd45b76e1770b1a608a97ccc117ffb53306bd8
+size 194313
diff --git a/results/train/parabola/problem_1598.png b/results/train/parabola/problem_1598.png
new file mode 100644
index 0000000000000000000000000000000000000000..fad50f0c0d49dc64213fa0193003619d129bd6af
--- /dev/null
+++ b/results/train/parabola/problem_1598.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a083f98a56ef82652e66240c14cd6ce44cddaa9731134163e5e65e45de486945
+size 195220
diff --git a/results/train/parabola/problem_1600.png b/results/train/parabola/problem_1600.png
new file mode 100644
index 0000000000000000000000000000000000000000..2eb098f375eda947d99d936749eebd9143d648bb
--- /dev/null
+++ b/results/train/parabola/problem_1600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d2acf305bf197bffeee9d318a4ee5ae5a6adce1991bdae0e506a92f8efc66ff
+size 200745
diff --git a/results/train/parabola/problem_1605.png b/results/train/parabola/problem_1605.png
new file mode 100644
index 0000000000000000000000000000000000000000..acc724807a28707ac678334859e67cf759aeace7
--- /dev/null
+++ b/results/train/parabola/problem_1605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dded32548d8575bb773909b62430a9b04558235fe3c6734e41e4d99101deb076
+size 196396
diff --git a/results/train/parabola/problem_1608.png b/results/train/parabola/problem_1608.png
new file mode 100644
index 0000000000000000000000000000000000000000..e38be9dccaf736d5bb18a3214497e9e96dec37af
--- /dev/null
+++ b/results/train/parabola/problem_1608.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93774a564fbd7387d617bd7e3d1d4f17d8c3ea77a76547f45f0bc11a04cb6bd3
+size 198645
diff --git a/results/train/parabola/problem_1612.png b/results/train/parabola/problem_1612.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f4611010257de700a87cf3236a11a62664874a4
--- /dev/null
+++ b/results/train/parabola/problem_1612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5daa5bebcae8c5e81303336053500f584201a62c7b383dd29b543bda469df5e
+size 199040
diff --git a/results/train/parabola/problem_1624.png b/results/train/parabola/problem_1624.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b8cb4e4bdcea0c32137ec224953195631643890
--- /dev/null
+++ b/results/train/parabola/problem_1624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72bb21f48703c63c16788234f758559b58a476c0e7dcadd34dc79cc70e4268c2
+size 189277
diff --git a/results/train/parabola/problem_1625.png b/results/train/parabola/problem_1625.png
new file mode 100644
index 0000000000000000000000000000000000000000..23ad55282af1880d37f2f80f9b50725900ff77e7
--- /dev/null
+++ b/results/train/parabola/problem_1625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17bc3523415e105c646ace2c75697dc394e3c318dcf650ed2d0697db3169e796
+size 156551
diff --git a/results/train/parabola/problem_1627.png b/results/train/parabola/problem_1627.png
new file mode 100644
index 0000000000000000000000000000000000000000..d98a81e75a99349b3c745293e4ba5b2495a6e6f8
--- /dev/null
+++ b/results/train/parabola/problem_1627.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51a253c352f00c2e567b712b73fe9a1402978bd2272c2ee8f02dfafd6d452369
+size 187698
diff --git a/results/train/parabola/problem_1630.png b/results/train/parabola/problem_1630.png
new file mode 100644
index 0000000000000000000000000000000000000000..22284df7b271762df2df255c2e7d3e57d8a38245
--- /dev/null
+++ b/results/train/parabola/problem_1630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f20898cdaaafa9f49aa0682b5cca7edde49d92efb2e06d341dbe6643ab0f4c2
+size 200072
diff --git a/results/train/parabola/problem_1631.png b/results/train/parabola/problem_1631.png
new file mode 100644
index 0000000000000000000000000000000000000000..11220d222b8f30a5928c7d8c25443f648374eda5
--- /dev/null
+++ b/results/train/parabola/problem_1631.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:371f9e19576d8ed5f232cfa304ecd4f02222e3af1e907eff320b39120f642210
+size 189826
diff --git a/results/train/parabola/problem_1632.png b/results/train/parabola/problem_1632.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fc383eed80ed39e2d4ee04b38ed4f6004e88e64
--- /dev/null
+++ b/results/train/parabola/problem_1632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9715afbfd2738277211ec4f78f319bb31271eb99db430b0b7e51c8adbf2c32d6
+size 187204
diff --git a/results/train/parabola/problem_1638.png b/results/train/parabola/problem_1638.png
new file mode 100644
index 0000000000000000000000000000000000000000..8919ae7a5b0723d2e0f8be98d4ecd0ac0a4e8a96
--- /dev/null
+++ b/results/train/parabola/problem_1638.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85591870b32653fce502b0f3f6e7511a71840d3343a6e5c30cd7ea812a25d5c3
+size 200332
diff --git a/results/train/parabola/problem_1639.png b/results/train/parabola/problem_1639.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5785996b11e7159abf38f399e9c49b09bce11ee
--- /dev/null
+++ b/results/train/parabola/problem_1639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5f6e7422887e055e18bc620026fa9e28135a3e324e0713b945f5da58fcfa621
+size 204660
diff --git a/results/train/parabola/problem_1644.png b/results/train/parabola/problem_1644.png
new file mode 100644
index 0000000000000000000000000000000000000000..961986bb0561643dec0829c3d78665b949810652
--- /dev/null
+++ b/results/train/parabola/problem_1644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3f7e2a0802344f01d9395d11c03ebc71d2aabb0389a0b3c9bef2d8462e70cea0
+size 185976
diff --git a/results/train/parabola/problem_1651.png b/results/train/parabola/problem_1651.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b6da07c14cebe88cc2552e8fa9a3cc7292ee7aa
--- /dev/null
+++ b/results/train/parabola/problem_1651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb574791a9dd2a1572585b6b318baea7419a97cca0b5abff05f6c7d2d6362927
+size 198000
diff --git a/results/train/parabola/problem_1656.png b/results/train/parabola/problem_1656.png
new file mode 100644
index 0000000000000000000000000000000000000000..e40292ef45214a0be4399ebac2968a3bbff119c2
--- /dev/null
+++ b/results/train/parabola/problem_1656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f4fa1452b3be62212bd8a923112cdc2b7c8581743d60b5b8849b3fb03e98a05
+size 196858
diff --git a/results/train/parabola/problem_1657.png b/results/train/parabola/problem_1657.png
new file mode 100644
index 0000000000000000000000000000000000000000..72df0b08a5bd5b44d7ca74c18139bffb3d13034f
--- /dev/null
+++ b/results/train/parabola/problem_1657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1231ce883f2ac532457b1c20c15e3b789b6e86ab8ffba92e695dcdc3687d2a2
+size 198816
diff --git a/results/train/parabola/problem_1661.png b/results/train/parabola/problem_1661.png
new file mode 100644
index 0000000000000000000000000000000000000000..12d9cd613e650134abdecff68c6f60f24ec85ecd
--- /dev/null
+++ b/results/train/parabola/problem_1661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16d284ef8628b14dead5317311aa1c7d69cc0ac605c481b9d33389c7072590f4
+size 165191
diff --git a/results/train/parabola/problem_1662.png b/results/train/parabola/problem_1662.png
new file mode 100644
index 0000000000000000000000000000000000000000..844bec1cc66f92c4dabf15a38fdf4caa5d192a95
--- /dev/null
+++ b/results/train/parabola/problem_1662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e53ea8362d9b18bd066a91c71f35ef9b6098c8bf03f0cfb28133cdd753111e3
+size 162587
diff --git a/results/train/parabola/problem_1666.png b/results/train/parabola/problem_1666.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc88d47ab59efa58e950cccf1b55d5294cbcd685
--- /dev/null
+++ b/results/train/parabola/problem_1666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6a9f692e3f3d44ac75be98d8138222fa9cec189d03643a84a64cb02c818a115
+size 189651
diff --git a/results/train/parabola/problem_1668.png b/results/train/parabola/problem_1668.png
new file mode 100644
index 0000000000000000000000000000000000000000..1502e48872888840df7fbde2958048234bbadaf3
--- /dev/null
+++ b/results/train/parabola/problem_1668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:545a625f13ff05be19063faff38cb1951c7c50ec30f5218f4dfc39f9debce852
+size 198940
diff --git a/results/train/parabola/problem_1670.png b/results/train/parabola/problem_1670.png
new file mode 100644
index 0000000000000000000000000000000000000000..af05eef1552083e92cd55e3ff366834a8358a359
--- /dev/null
+++ b/results/train/parabola/problem_1670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:82978b43778b933acd9cbe5b3eb929bb3cf1d14a41ea4b00338696d81695c92b
+size 196112
diff --git a/results/train/parabola/problem_1679.png b/results/train/parabola/problem_1679.png
new file mode 100644
index 0000000000000000000000000000000000000000..2db0aa749954d03108d7dbca11d8b669584ad2e9
--- /dev/null
+++ b/results/train/parabola/problem_1679.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef3fd4ba9e570252852257336c2bb4f33476dac0d6d8e16dcaeb9700a14b82b5
+size 192602
diff --git a/results/train/parabola/problem_1683.png b/results/train/parabola/problem_1683.png
new file mode 100644
index 0000000000000000000000000000000000000000..65c9c7330b61c794fcf3fa16b058adc5f754f48e
--- /dev/null
+++ b/results/train/parabola/problem_1683.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c91e46777901382feedbc37e0bf48b774717f1d18742319cf9fa6e9bc24aeff
+size 187974
diff --git a/results/train/parabola/problem_1684.png b/results/train/parabola/problem_1684.png
new file mode 100644
index 0000000000000000000000000000000000000000..c695cda98e370bb3dec5cc33601635aad3d1507e
--- /dev/null
+++ b/results/train/parabola/problem_1684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a1f78e6fb5fc38e5dc73e5bc6d3f897cf21fb698a12fe5e9f1971f8240b6dde
+size 187890
diff --git a/results/train/parabola/problem_1685.png b/results/train/parabola/problem_1685.png
new file mode 100644
index 0000000000000000000000000000000000000000..25436ea4c3c0f8b7fd2f7c0099e3236079c4880c
--- /dev/null
+++ b/results/train/parabola/problem_1685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78560d81d2688a665b94d3854bebce1e793d7b0349d03cc0583e1805c2371700
+size 182961
diff --git a/results/train/parabola/problem_1687.png b/results/train/parabola/problem_1687.png
new file mode 100644
index 0000000000000000000000000000000000000000..e7953e5cddb1adedb038103deddef2f0fab224a7
--- /dev/null
+++ b/results/train/parabola/problem_1687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:410ce035ef00322cea7cb6d61d4c61dec817b0487f1cb56d1884fcd3d7b4b477
+size 181359
diff --git a/results/train/parabola/problem_1697.png b/results/train/parabola/problem_1697.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5c08be1f65c02339140dac9492c9392571279fd
--- /dev/null
+++ b/results/train/parabola/problem_1697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1ef2c54b13cf2a2c66a1f5ecfef19012de07a7abccc6f1a28165bc32910ac3f
+size 177656
diff --git a/results/train/parabola/problem_1699.png b/results/train/parabola/problem_1699.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a76a789e08499cd3d1b015e9cc2fd5d281f24bd
--- /dev/null
+++ b/results/train/parabola/problem_1699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66b03cb398f93dd2331dd6b0ee791bf370a2d95c83cfac24ce2709874b1ffa13
+size 191689
diff --git a/results/train/parabola/problem_1701.png b/results/train/parabola/problem_1701.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9a5b5392f128dfb452f7c5ce5a7578d6b94e27f
--- /dev/null
+++ b/results/train/parabola/problem_1701.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:975d0069502088890295a8867a08f54f0d87b74622296182f0619e9827ca371d
+size 204223
diff --git a/results/train/parabola/problem_1703.png b/results/train/parabola/problem_1703.png
new file mode 100644
index 0000000000000000000000000000000000000000..05024a2f8f94d574ca9320d64c91579d94ec120f
--- /dev/null
+++ b/results/train/parabola/problem_1703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16d52133362b4cbcbad17bf930cff694b0ad3d727cb997fe13165168f8dcf4c6
+size 192235
diff --git a/results/train/parabola/problem_1706.png b/results/train/parabola/problem_1706.png
new file mode 100644
index 0000000000000000000000000000000000000000..f7b0c9d0701d5dfa0aa532858d96a076488f9583
--- /dev/null
+++ b/results/train/parabola/problem_1706.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4c6981a6a975b983295f06f9e5b123237ec1a7315cb0f741c525aa665aa4efa
+size 195555
diff --git a/results/train/parabola/problem_1707.png b/results/train/parabola/problem_1707.png
new file mode 100644
index 0000000000000000000000000000000000000000..583725edf8d28620d4e37174b319b9cee0128c6b
--- /dev/null
+++ b/results/train/parabola/problem_1707.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e4c372196ce095b3302c400211ec06ce0337d995021d717f86ddba8e7f0278c
+size 191850
diff --git a/results/train/parabola/problem_1708.png b/results/train/parabola/problem_1708.png
new file mode 100644
index 0000000000000000000000000000000000000000..30f2bfd036cd89f470ea3b36974bd22d0b3eb992
--- /dev/null
+++ b/results/train/parabola/problem_1708.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7841afdce1d517c27f78c2b81acf3bff4bb77cf336543e21716b5b18bf7ce621
+size 185331
diff --git a/results/train/parabola/problem_1709.png b/results/train/parabola/problem_1709.png
new file mode 100644
index 0000000000000000000000000000000000000000..41f38b1ff3968c636438854147d1ebb39e6470a5
--- /dev/null
+++ b/results/train/parabola/problem_1709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cbccee5b7236f9698c6cf5d35263eec048d93f36d9b184b9a9753d5f2f95051
+size 189346
diff --git a/results/train/parabola/problem_1712.png b/results/train/parabola/problem_1712.png
new file mode 100644
index 0000000000000000000000000000000000000000..3379f66ff421d0613203a5001945ff4d4ad25883
--- /dev/null
+++ b/results/train/parabola/problem_1712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e205bd53df57c0dade53d48dadbdd36fe0641626446d5c0c7361955f80cb962
+size 190401
diff --git a/results/train/parabola/problem_1719.png b/results/train/parabola/problem_1719.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca3a4cac23d344aa5510ccce84779a03e5bbf515
--- /dev/null
+++ b/results/train/parabola/problem_1719.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad921557953081828f0523d68d65a2b1f85a71fff480316ec67358e37eed9095
+size 193399
diff --git a/results/train/parabola/problem_1723.png b/results/train/parabola/problem_1723.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fddd99d4f75ac67749ed1c0daba7335d6a0b6c5
--- /dev/null
+++ b/results/train/parabola/problem_1723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d97904955df763d1aa4a58be2c3540db85026de4484609fd509ab9670d5468ff
+size 153073
diff --git a/results/train/parabola/problem_1729.png b/results/train/parabola/problem_1729.png
new file mode 100644
index 0000000000000000000000000000000000000000..30d2a1adfe3753766b6a17e35cebf18d741e879e
--- /dev/null
+++ b/results/train/parabola/problem_1729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3bf68392d2a75e05be24550f11263be486ea3db10e99a2dbf54048721625e02
+size 192650
diff --git a/results/train/parabola/problem_1730.png b/results/train/parabola/problem_1730.png
new file mode 100644
index 0000000000000000000000000000000000000000..39e2e195acce8c27bb6edc1995bf3f3e4e5e1c0e
--- /dev/null
+++ b/results/train/parabola/problem_1730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ccd023c164cdb7bdd93a4ae4c2bf0bd1b1b576f038e3dc41af42e25a8ee13251
+size 189982
diff --git a/results/train/parabola/problem_1738.png b/results/train/parabola/problem_1738.png
new file mode 100644
index 0000000000000000000000000000000000000000..52804b435628bc34ad9d66d22643ce276263379d
--- /dev/null
+++ b/results/train/parabola/problem_1738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbd83afad4e5c6466ab5345b63f78450caefdefc046b2d19010b5405b856c4fa
+size 185788
diff --git a/results/train/parabola/problem_1745.png b/results/train/parabola/problem_1745.png
new file mode 100644
index 0000000000000000000000000000000000000000..2479b0a41026fcc38081eef492c565eab9f72a9e
--- /dev/null
+++ b/results/train/parabola/problem_1745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bc22ec49e57022c985f4b14757ec66c9b14985bc028a0386ceb3dce8e25b006
+size 196102
diff --git a/results/train/parabola/problem_1747.png b/results/train/parabola/problem_1747.png
new file mode 100644
index 0000000000000000000000000000000000000000..98c6c49cecb109127767c9291a1e73458402ac87
--- /dev/null
+++ b/results/train/parabola/problem_1747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcf9578abacb7e445e678d05a29cc1cb273829cf1172c4c8d53d052e0397b285
+size 185301
diff --git a/results/train/parabola/problem_1749.png b/results/train/parabola/problem_1749.png
new file mode 100644
index 0000000000000000000000000000000000000000..e728fab413aadc553a27280726323c6ce29a7d54
--- /dev/null
+++ b/results/train/parabola/problem_1749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4eca5f3666ef626743d11d98368e30a006facfbd66633741c2e30dd574a4f81d
+size 201927
diff --git a/results/train/parabola/problem_1750.png b/results/train/parabola/problem_1750.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a92d514c1dc0af3991cfb392e21625619e7a603
--- /dev/null
+++ b/results/train/parabola/problem_1750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:832a9821f313dda6aa4e6a2dcf5ade9a2168fa9b51639dbbdf499b5b0dc536b3
+size 186331
diff --git a/results/train/parabola/problem_1754.png b/results/train/parabola/problem_1754.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbbe705ae885c810f8c7bc7a0ad9ce3f087eef0e
--- /dev/null
+++ b/results/train/parabola/problem_1754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:58e3726223ee8cf8fbb4f5567d715f10b0e6612c653b496490d1d8d962cd2523
+size 197902
diff --git a/results/train/parabola/problem_1755.png b/results/train/parabola/problem_1755.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e0270b8ce3f42c51c0130ad50d674d84aedc0ed
--- /dev/null
+++ b/results/train/parabola/problem_1755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af873acc501ab9a8118696f3cad0eeff7f85580bed2d098e34a47b55a3996f0a
+size 151306
diff --git a/results/train/parabola/problem_1757.png b/results/train/parabola/problem_1757.png
new file mode 100644
index 0000000000000000000000000000000000000000..b053d27226ac2e6c7e9d094d3344632e6e7c7806
--- /dev/null
+++ b/results/train/parabola/problem_1757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f8e6ef70a35ad94271d1fc864790296ff49e909f6d1e7c1241e733f0cceb533
+size 185538
diff --git a/results/train/parabola/problem_1761.png b/results/train/parabola/problem_1761.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a1a4f12124db35d8946c0a43fb7d5d455e6236b
--- /dev/null
+++ b/results/train/parabola/problem_1761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0ab81c3da10b6e1fe8389fa854c18419e4450fd2b756051be009f34ea664fc5
+size 194218
diff --git a/results/train/parabola/problem_1776.png b/results/train/parabola/problem_1776.png
new file mode 100644
index 0000000000000000000000000000000000000000..acb120aa2406a3a281108e041433d0e32502a968
--- /dev/null
+++ b/results/train/parabola/problem_1776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d4365a358893fe029e64e35fc170b4cfcc8fe2a9af7f25d68c8cfccef2042db
+size 191923
diff --git a/results/train/parabola/problem_1780.png b/results/train/parabola/problem_1780.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff890b2409fd3dd3dd74f876cdab41e056319cd2
--- /dev/null
+++ b/results/train/parabola/problem_1780.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8559d58a88b0c900bb5b75afe42cb7687cd2d25165e72545e871f2bd0fc2450
+size 203736
diff --git a/results/train/parabola/problem_1785.png b/results/train/parabola/problem_1785.png
new file mode 100644
index 0000000000000000000000000000000000000000..17481433f95b34ebbf325fa2521b2abbb67d2b75
--- /dev/null
+++ b/results/train/parabola/problem_1785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83326e5627fec1ca49a8a14bae03ff346cdd979fccfa00fa1595caa0fb5be1f0
+size 182055
diff --git a/results/train/parabola/problem_1786.png b/results/train/parabola/problem_1786.png
new file mode 100644
index 0000000000000000000000000000000000000000..1962a11e40e75ad592856fa793e7c41d959c4eaf
--- /dev/null
+++ b/results/train/parabola/problem_1786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de3862cc6aa560f79da470b750e101e7632b96c8b9537bbf258902fc7e66c8cb
+size 200577
diff --git a/results/train/parabola/problem_1792.png b/results/train/parabola/problem_1792.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa91697b21b2987ebfa192e57a3d00e0484ea399
--- /dev/null
+++ b/results/train/parabola/problem_1792.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f21169c03c133a4a57dddafe5f33868056a0ddf80250879855250d02c65a0e76
+size 155523
diff --git a/results/train/parabola/problem_1808.png b/results/train/parabola/problem_1808.png
new file mode 100644
index 0000000000000000000000000000000000000000..89ebf079cd0338ceda55c8b9bd8d2134c665b33f
--- /dev/null
+++ b/results/train/parabola/problem_1808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9225e717c7c2165c865cd26e8b96b7277c83171af1ceb77e5f6e329ef0135bb
+size 189990
diff --git a/results/train/parabola/problem_1813.png b/results/train/parabola/problem_1813.png
new file mode 100644
index 0000000000000000000000000000000000000000..c79e8608aed1ffe61b98c2248d63c24df9ac08ef
--- /dev/null
+++ b/results/train/parabola/problem_1813.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6512b95d95c6d2439128c1aac9e68438d3e129da3fe2b9714c3ff9d5060a57d6
+size 195293
diff --git a/results/train/parabola/problem_1820.png b/results/train/parabola/problem_1820.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c38077e661eff7a09e3d72512be884961716d1c
--- /dev/null
+++ b/results/train/parabola/problem_1820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4acd9db52a4b9a052c6701542dbf4edae18ed552226c10926d20c901a607381
+size 191084
diff --git a/results/train/parabola/problem_1821.png b/results/train/parabola/problem_1821.png
new file mode 100644
index 0000000000000000000000000000000000000000..798800ef97937f02578db3ba25e26369b486ff5f
--- /dev/null
+++ b/results/train/parabola/problem_1821.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0dc8118ee23e0fbe27efab35f345471ef0008caa6e4485fe8b52e6000808a0ac
+size 197424
diff --git a/results/train/parabola/problem_1824.png b/results/train/parabola/problem_1824.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a3de95b6242c921e05dd15e85fab4602cb4c002
--- /dev/null
+++ b/results/train/parabola/problem_1824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1a5deb7745d67296a65064945b5108c7993043bee38a775469e1e84db1d6f3c
+size 205268
diff --git a/results/train/parabola/problem_1826.png b/results/train/parabola/problem_1826.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f7ccabcb19c702c1e9495fbc1ffc1e8cd7eaa3a
--- /dev/null
+++ b/results/train/parabola/problem_1826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fc8c6b0e87456ac28f2b4ce7ef01b88bbbb11f0405b35763d278c51b319d217
+size 182186
diff --git a/results/train/parabola/problem_1828.png b/results/train/parabola/problem_1828.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c3692618d0be068357e601d968c7fbbb92001f7
--- /dev/null
+++ b/results/train/parabola/problem_1828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:102486f2d6a2ab502cd5e7f88bb08f7d7b502a91bc3ac7421cce8176a91ec142
+size 165983
diff --git a/results/train/parabola/problem_1832.png b/results/train/parabola/problem_1832.png
new file mode 100644
index 0000000000000000000000000000000000000000..470a3b2eca9ec1af6529806fbefc6e0cd32b9a65
--- /dev/null
+++ b/results/train/parabola/problem_1832.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cda448847941d8a3daeff01e8b1abc78ffa1e40a41f15e7dd8f3b6ab442b68a0
+size 183734
diff --git a/results/train/parabola/problem_1850.png b/results/train/parabola/problem_1850.png
new file mode 100644
index 0000000000000000000000000000000000000000..d46252846dec527f0efec931755cfb20baaeb318
--- /dev/null
+++ b/results/train/parabola/problem_1850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b086a9d2811918444eaf68c2f8620b1fbcb7bff68204bc4e395623230ba415ce
+size 187988
diff --git a/results/train/parabola/problem_1853.png b/results/train/parabola/problem_1853.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae2326ef4faa595b827ec5be2578c0fc9a4bd219
--- /dev/null
+++ b/results/train/parabola/problem_1853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd5b607df93b0752926133172e6036dfd57ab8961692cfb650f87f93ccad6940
+size 189729
diff --git a/results/train/parabola/problem_1857.png b/results/train/parabola/problem_1857.png
new file mode 100644
index 0000000000000000000000000000000000000000..d404bcfedad89e280e4d3eca1ff5ce3f451a4409
--- /dev/null
+++ b/results/train/parabola/problem_1857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:040f947a82e828f7377af49bd6527aeec46ccd3619d44a2779798badb3b0e277
+size 175679
diff --git a/results/train/parabola/problem_1862.png b/results/train/parabola/problem_1862.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0bced4430f8924d8d3b2e0c61e87dd644676fe1
--- /dev/null
+++ b/results/train/parabola/problem_1862.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32d365efcdaf7ad72897e88d732982b1cfebdbd81b9dec7c88836365b697232c
+size 191658
diff --git a/results/train/parabola/problem_1866.png b/results/train/parabola/problem_1866.png
new file mode 100644
index 0000000000000000000000000000000000000000..1882dde5f7adb23334dca7159cae97192b89beef
--- /dev/null
+++ b/results/train/parabola/problem_1866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3b800118526bf5ae9035cd21bd99c3e527e118be98c70fcc50bbd22facc6f7c
+size 199123
diff --git a/results/train/parabola/problem_1868.png b/results/train/parabola/problem_1868.png
new file mode 100644
index 0000000000000000000000000000000000000000..bdca46954e81adaf4fecff3225c5cadae4df7da9
--- /dev/null
+++ b/results/train/parabola/problem_1868.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:742f5416e0aae1ce4326ee181fd0a01a52b184fd344b065a7671f050a0f62ca9
+size 186853
diff --git a/results/train/parabola/problem_1870.png b/results/train/parabola/problem_1870.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d54c4d827903bdfc4a01254163d6cf09e749190
--- /dev/null
+++ b/results/train/parabola/problem_1870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6ccd7636ead4ba93d5bb0423e4249d54039b2b215a5efd707cb30d207506299
+size 190045
diff --git a/results/train/parabola/problem_1872.png b/results/train/parabola/problem_1872.png
new file mode 100644
index 0000000000000000000000000000000000000000..e07f1940a2961072359f6a8d9c87aff3d86d6194
--- /dev/null
+++ b/results/train/parabola/problem_1872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:146172c7c2ae6a0cc9c20d8c92fe8644576f3eae01dd1580a21583318feadf26
+size 193686
diff --git a/results/train/parabola/problem_1877.png b/results/train/parabola/problem_1877.png
new file mode 100644
index 0000000000000000000000000000000000000000..8589e91b98a43898610174df04a03f60970e0041
--- /dev/null
+++ b/results/train/parabola/problem_1877.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3feeb450e98222e3b7474dac305c09254618a8afb4635d30de52b764c399400
+size 186277
diff --git a/results/train/parabola/problem_1879.png b/results/train/parabola/problem_1879.png
new file mode 100644
index 0000000000000000000000000000000000000000..da20e5f67702f29df77b3f98468f249281c825ca
--- /dev/null
+++ b/results/train/parabola/problem_1879.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d37bea3103ebdbfe7d3579a65dcc10c34604114dfca3af5c2754d2980a1c4c29
+size 188179
diff --git a/results/train/parabola/problem_1881.png b/results/train/parabola/problem_1881.png
new file mode 100644
index 0000000000000000000000000000000000000000..9701e1f5447b25918a7e55bc25e25bcb86a330c2
--- /dev/null
+++ b/results/train/parabola/problem_1881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22b5e27bf641eaf6c5776d7935b83e58a08eacf36b0ec589bbf8e2be4e187de3
+size 202830
diff --git a/results/train/parabola/problem_1884.png b/results/train/parabola/problem_1884.png
new file mode 100644
index 0000000000000000000000000000000000000000..92b5fd2792a2b7c5e8d42cf7b3c208d95349cc55
--- /dev/null
+++ b/results/train/parabola/problem_1884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a51ecf05f57b992efa6ab27fd0332a8c782ef0487bd846108681723df76fad48
+size 192304
diff --git a/results/train/parabola/problem_1900.png b/results/train/parabola/problem_1900.png
new file mode 100644
index 0000000000000000000000000000000000000000..adc0a675d0d2e9ec43c0bf9783e9c3699fcce405
--- /dev/null
+++ b/results/train/parabola/problem_1900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86da8eef7a3847953137b169aab4c4ac73da2e5919f2fa912a2f4178e3870d83
+size 196480
diff --git a/results/train/parabola/problem_1908.png b/results/train/parabola/problem_1908.png
new file mode 100644
index 0000000000000000000000000000000000000000..df12cf27d415580db8caa4ad86ffb93aa81f35fd
--- /dev/null
+++ b/results/train/parabola/problem_1908.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4cad76eb60568d7a581da58628ace97bc4c0b06570628698b74d8014c4f326f
+size 177668
diff --git a/results/train/parabola/problem_1909.png b/results/train/parabola/problem_1909.png
new file mode 100644
index 0000000000000000000000000000000000000000..10b7172feea861a0fdfd583beac5924711614add
--- /dev/null
+++ b/results/train/parabola/problem_1909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e54e375261b50550dab7e10ca79f1830e35651547068c94e62f39fedd32e74f4
+size 188204
diff --git a/results/train/parabola/problem_1914.png b/results/train/parabola/problem_1914.png
new file mode 100644
index 0000000000000000000000000000000000000000..72e1ea8e3fa6050d961905562c4a65d29d94dafa
--- /dev/null
+++ b/results/train/parabola/problem_1914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5819db872beeebbc992608342139c09c0e18d7dc6e0c7d67027a247babff2de9
+size 191118
diff --git a/results/train/parabola/problem_1918.png b/results/train/parabola/problem_1918.png
new file mode 100644
index 0000000000000000000000000000000000000000..144dcf2e0ad799aa3aa691d64dc8f4d26892fea2
--- /dev/null
+++ b/results/train/parabola/problem_1918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d397a5d264d528ddb8e8620ed55278355b080572a242b96cfc7221914184ac3c
+size 195855
diff --git a/results/train/parabola/problem_1924.png b/results/train/parabola/problem_1924.png
new file mode 100644
index 0000000000000000000000000000000000000000..89075f69bd9c736e35de4e55661d2fb48667d122
--- /dev/null
+++ b/results/train/parabola/problem_1924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ece25141e0a0fdc86e36be11665552425c52bdb4161624c4e7a8cf57d5572077
+size 202037
diff --git a/results/train/parabola/problem_1932.png b/results/train/parabola/problem_1932.png
new file mode 100644
index 0000000000000000000000000000000000000000..b043f482fa16d0241dd88d1cf785059f7b860314
--- /dev/null
+++ b/results/train/parabola/problem_1932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e6194a52a4f413b63580e4762a2ffa14fb2696121dbf2583788c173cd3285a7
+size 185130
diff --git a/results/train/parabola/problem_1944.png b/results/train/parabola/problem_1944.png
new file mode 100644
index 0000000000000000000000000000000000000000..60e42fc0d5cce2b03a6705ad563c2474179bc694
--- /dev/null
+++ b/results/train/parabola/problem_1944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f81a0eadb1cb9a0edc4778954f50532c8b47de5de3fa2893916b8d06c06444b
+size 209998
diff --git a/results/train/parabola/problem_1945.png b/results/train/parabola/problem_1945.png
new file mode 100644
index 0000000000000000000000000000000000000000..eaff316911eb038dc2631dca27620cda7c3006ca
--- /dev/null
+++ b/results/train/parabola/problem_1945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b491bcd5cd9874f329deca8124cf9138204e3884e8862df882ad4e0e7098e27
+size 190927
diff --git a/results/train/parabola/problem_1946.png b/results/train/parabola/problem_1946.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c498570be074d5ea388d462874e863ef1dad3a4
--- /dev/null
+++ b/results/train/parabola/problem_1946.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38060d79a7f9b6a409615c865ea2efc97cc874d63ba3d588a70c4f88e53b3cc6
+size 209484
diff --git a/results/train/parabola/problem_1947.png b/results/train/parabola/problem_1947.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fe5fd731ec619efd4d3745b6bc1a33ee8367e2b
--- /dev/null
+++ b/results/train/parabola/problem_1947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18eda4f5d541b7cfa2279f3361e317a7ae3a298da528952e4c04aaebb535366b
+size 180365
diff --git a/results/train/parabola/problem_1950.png b/results/train/parabola/problem_1950.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d3edeae69423544d42fc9ed03814a181724d605
--- /dev/null
+++ b/results/train/parabola/problem_1950.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52b143c1081261206f745c49c496e87bd6a9fa3098d12db091a6b9e7ad4a6d69
+size 201604
diff --git a/results/train/parabola/problem_1955.png b/results/train/parabola/problem_1955.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7c8e10b2cd6e5cea6948c5ae5bac4473a565e15
--- /dev/null
+++ b/results/train/parabola/problem_1955.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1f4f06da8635d441c271b640eb73ab61acc147d2b7af098322bf54c00ef9e92
+size 196560
diff --git a/results/train/parabola/problem_1959.png b/results/train/parabola/problem_1959.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf0160117b5f851d4bba61c19a812072575cbb37
--- /dev/null
+++ b/results/train/parabola/problem_1959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dcc56afefd5063937bf51ecd060c2c06e1972c8b4d4cdfabe86adec5b48fb0d
+size 187740
diff --git a/results/train/parabola/problem_1960.png b/results/train/parabola/problem_1960.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdbaab1f2d76b602fc910d597b1ec6a4229bb62b
--- /dev/null
+++ b/results/train/parabola/problem_1960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87a40e87f5773efd0727487577b9f1f15d908177483d4ffb7284f167b9696ac3
+size 186856
diff --git a/results/train/parabola/problem_1962.png b/results/train/parabola/problem_1962.png
new file mode 100644
index 0000000000000000000000000000000000000000..e54be31e577dad7f554b8db4db9d4c3f2bd77d20
--- /dev/null
+++ b/results/train/parabola/problem_1962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d14f4b99627396f2f543b61f927c1612eb106cd4ab7a1e101c7e2d0d07aa2f0
+size 190147
diff --git a/results/train/parabola/problem_1966.png b/results/train/parabola/problem_1966.png
new file mode 100644
index 0000000000000000000000000000000000000000..0388dfb10a3d2ad086009a79e227b06cc66ddecd
--- /dev/null
+++ b/results/train/parabola/problem_1966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f190c0b90281bdfbcb981d2a203be14a3211e356d664b99c4242df34f357fd4b
+size 187408
diff --git a/results/train/parabola/problem_1967.png b/results/train/parabola/problem_1967.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a1de46e3778a90fd872b4a615bbe0c6350cca2f
--- /dev/null
+++ b/results/train/parabola/problem_1967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84067b97f4ff51c3a05c3d59a35f125f98af44e08b0d19cae3fbc2da90048fad
+size 207138
diff --git a/results/train/parabola/problem_1968.png b/results/train/parabola/problem_1968.png
new file mode 100644
index 0000000000000000000000000000000000000000..14546003afd6223adb2011911460a1361e8e55bb
--- /dev/null
+++ b/results/train/parabola/problem_1968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4a8b3bdc9bb8a1c690b1ae77041e2141d5f770844ea9a5af5ffd9ac496c8e55
+size 189911
diff --git a/results/train/parabola/problem_1976.png b/results/train/parabola/problem_1976.png
new file mode 100644
index 0000000000000000000000000000000000000000..56974ec6a6d7d3be20194ce191a7a076bd499a4b
--- /dev/null
+++ b/results/train/parabola/problem_1976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93812ff235488e716251e69fbdbbabcfc5c42efcf64d45b8bb9fd91cbaf2dd23
+size 196065
diff --git a/results/train/parabola/problem_1978.png b/results/train/parabola/problem_1978.png
new file mode 100644
index 0000000000000000000000000000000000000000..bea8198c96f28aa55b7df0f98441e14018afacbf
--- /dev/null
+++ b/results/train/parabola/problem_1978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dfae7b13cfe191766170a8201aced47a7ac1ef0c5a938638bb9b6a5229a2217
+size 192148
diff --git a/results/train/parabola/problem_1988.png b/results/train/parabola/problem_1988.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e62e765ed6b707cf13816679202e9d9ee5d312c
--- /dev/null
+++ b/results/train/parabola/problem_1988.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01a72561e9fe4f00e5a38f25e07f9ba9d58a4ca6ad9a84dff15a8b42c35a4195
+size 204126
diff --git a/results/train/parabola/problem_1993.png b/results/train/parabola/problem_1993.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b436a7accba87a506f0346b2342e1cde0876641
--- /dev/null
+++ b/results/train/parabola/problem_1993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:736d0af28a9cde5ba015a0c755b852f17b2801ad331b5c14bf367394b3d9b050
+size 178207
diff --git a/results/train/parabola/problem_1994.png b/results/train/parabola/problem_1994.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5bfbc10a3d0dd0d3ecde638ad2bc133a4dd4686
--- /dev/null
+++ b/results/train/parabola/problem_1994.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b11d68c78bd01278090f1a63b8ab0505bf4eaa613345dae1f796fbe67828b514
+size 196951
diff --git a/results/train/parabola/problem_1996.png b/results/train/parabola/problem_1996.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d0fac12170ea45981aa67907b3937d9903f8eac
--- /dev/null
+++ b/results/train/parabola/problem_1996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9acb6998b8c557e22f34a9497d5d5611fff65007b355092962e7e347efaa81cb
+size 186639
diff --git a/results/train/parabola/problem_2008.png b/results/train/parabola/problem_2008.png
new file mode 100644
index 0000000000000000000000000000000000000000..b969572faf40b9f44b19a1e4ab9d651d0fd774fd
--- /dev/null
+++ b/results/train/parabola/problem_2008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3fdfbeee8ba89fc4ae35ebbe7d4d536a0523cf6e3f28df79661815e883d8dda2
+size 190183
diff --git a/results/train/parabola/problem_2020.png b/results/train/parabola/problem_2020.png
new file mode 100644
index 0000000000000000000000000000000000000000..288547edc60be2fab09f02bc0801451db6031eae
--- /dev/null
+++ b/results/train/parabola/problem_2020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9abc5611c128d79336291caadad75aaf91ac5ef936490dcfd5ededef15cfc116
+size 203782
diff --git a/results/train/parabola/problem_2022.png b/results/train/parabola/problem_2022.png
new file mode 100644
index 0000000000000000000000000000000000000000..61ca6f7c225d9cebb91408bc159107cf160de2fd
--- /dev/null
+++ b/results/train/parabola/problem_2022.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:966b028a3a1e9981050eb8f0bd1c3161ac7080fd25028362360125b95eada169
+size 166994
diff --git a/results/train/parabola/problem_2023.png b/results/train/parabola/problem_2023.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b3bff447fdd9471779d629f2a3490d981ce2dcd
--- /dev/null
+++ b/results/train/parabola/problem_2023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c60ec8409c71799d424d9ad3f983430fc2e53c88346c32839a2f21da5a588c1a
+size 186957
diff --git a/results/train/parabola/problem_2024.png b/results/train/parabola/problem_2024.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c024abed74369e9b8a6f7ed968a2f0102a8febd
--- /dev/null
+++ b/results/train/parabola/problem_2024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:042e98148f610690eed014e23710cc159576419b9eabf8438207bcaf2e3e28ae
+size 200914
diff --git a/results/train/parabola/problem_2026.png b/results/train/parabola/problem_2026.png
new file mode 100644
index 0000000000000000000000000000000000000000..11e1d5a2bbdec18222989997825a5f733d1d2d6b
--- /dev/null
+++ b/results/train/parabola/problem_2026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:686182a67f5328ae1952240398b5711bfa392f8c6f07f1451ba98ef48156577b
+size 185552
diff --git a/results/train/parabola/problem_2029.png b/results/train/parabola/problem_2029.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec4b7294dd03782e3d3fbd0925e5867647fa3d52
--- /dev/null
+++ b/results/train/parabola/problem_2029.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:592800ef3777837d871cdff839287ad61305df0413214de5ce81556f8a9e64b4
+size 188528
diff --git a/results/train/parabola/problem_2030.png b/results/train/parabola/problem_2030.png
new file mode 100644
index 0000000000000000000000000000000000000000..e081afbb3c96bee1c60d85cff11e74daa725461b
--- /dev/null
+++ b/results/train/parabola/problem_2030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37f75b086892717b781fd94733c0ca9b9ed5908b43ad831c7c8376f0be66b614
+size 154994
diff --git a/results/train/parabola/problem_2031.png b/results/train/parabola/problem_2031.png
new file mode 100644
index 0000000000000000000000000000000000000000..21c2f4913261561b958547955db4aeed5bcd03f6
--- /dev/null
+++ b/results/train/parabola/problem_2031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10016f541d9c153418ec268678ed80bf78a0268d681c4ace1759550723c4f5b6
+size 188176
diff --git a/results/train/parabola/problem_2035.png b/results/train/parabola/problem_2035.png
new file mode 100644
index 0000000000000000000000000000000000000000..7046ef535f147846ac04247a20f55d3ab945b209
--- /dev/null
+++ b/results/train/parabola/problem_2035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6edfe37474d8ce2ecbaf2f3055311c7ec9e9b8b23050b9eca89c15192ba4c95
+size 207627
diff --git a/results/train/parabola/problem_2044.png b/results/train/parabola/problem_2044.png
new file mode 100644
index 0000000000000000000000000000000000000000..58f91f5a1dcf6d0fd03b3511f060d146d7943a6b
--- /dev/null
+++ b/results/train/parabola/problem_2044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6db946c2e7161e1e4b88191ca04f2dbaec8debef111d65a2be2e27165687425
+size 182543
diff --git a/results/train/parabola/problem_2045.png b/results/train/parabola/problem_2045.png
new file mode 100644
index 0000000000000000000000000000000000000000..aacd684160a3bd0cd3b2c7ec7c88d46250793fa8
--- /dev/null
+++ b/results/train/parabola/problem_2045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfa834eb8b8a7100a16116ec5aacb214a4000fb1591cd76a59f77344940bdda9
+size 202473
diff --git a/results/train/parabola/problem_2046.png b/results/train/parabola/problem_2046.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a9fcab30d014ab4f1cfd90628ef5bb24cf68514
--- /dev/null
+++ b/results/train/parabola/problem_2046.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70496bf54a37b7b8f65a545d6b01dc7a28d49950715f29c5d345782ab65a30be
+size 193527
diff --git a/results/train/parabola/problem_2051.png b/results/train/parabola/problem_2051.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdc1d153d1f5f2f7c5ba9fbe6decca55d2af1f5c
--- /dev/null
+++ b/results/train/parabola/problem_2051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5f2080baab34a925530727cdae14a1106772a34625e5a8c225ad17925ea3cb6
+size 196184
diff --git a/results/train/parabola/problem_2053.png b/results/train/parabola/problem_2053.png
new file mode 100644
index 0000000000000000000000000000000000000000..d885c06bc1d25e9093a216588428d4c0cd5b6bb5
--- /dev/null
+++ b/results/train/parabola/problem_2053.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a2c37745b50aecfd025eebb8681d6e07daf4242bba63860df06a3c8cc38a4cc
+size 187697
diff --git a/results/train/parabola/problem_2058.png b/results/train/parabola/problem_2058.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c73440d2095d685018faa92bae86d8bc221ae99
--- /dev/null
+++ b/results/train/parabola/problem_2058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b021da7d49e6ac57457efce240a44bed69b9d00e4d56de84afab1b65d420ce5
+size 196465
diff --git a/results/train/parabola/problem_2061.png b/results/train/parabola/problem_2061.png
new file mode 100644
index 0000000000000000000000000000000000000000..121fb9913b2db5d238e29259997510fad65490e3
--- /dev/null
+++ b/results/train/parabola/problem_2061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a092f58372c62089fca965179460dddc1ffc74fe15bd321caf183da12ce637f
+size 197324
diff --git a/results/train/parabola/problem_2062.png b/results/train/parabola/problem_2062.png
new file mode 100644
index 0000000000000000000000000000000000000000..46bdb1eecca879aa3d158189dafd0e2e0b424e5e
--- /dev/null
+++ b/results/train/parabola/problem_2062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd3e0903dd706b9efe981900b63b1fbeb8ed98a15653705204bc4f0c0d01e1d4
+size 183465
diff --git a/results/train/parabola/problem_2063.png b/results/train/parabola/problem_2063.png
new file mode 100644
index 0000000000000000000000000000000000000000..eab687ffbf64d90d958df2aa40a76e3ede01d01d
--- /dev/null
+++ b/results/train/parabola/problem_2063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d083048720c40fdf160731b97defb4b6695be1ae58fd48265126fdfe85dabc4
+size 188567
diff --git a/results/train/parabola/problem_2065.png b/results/train/parabola/problem_2065.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f2789f2d022a5408818e96c658a1185fd1dfce6
--- /dev/null
+++ b/results/train/parabola/problem_2065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0984b64fff50ac055e516676c9012fe9ab9aea7a86dd2e48ba6c0aa946a2a46c
+size 204339
diff --git a/results/train/parabola/problem_2066.png b/results/train/parabola/problem_2066.png
new file mode 100644
index 0000000000000000000000000000000000000000..db038ea156b7436d959658a2dff7559c4236c44f
--- /dev/null
+++ b/results/train/parabola/problem_2066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6addddfb34e45dfc7d63ca99981914b1bc5d19d1cc653ecc50b78aeae35be674
+size 196710
diff --git a/results/train/parabola/problem_2069.png b/results/train/parabola/problem_2069.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e58af9745395b94cb5aa4e7d9f3f61f081e0b76
--- /dev/null
+++ b/results/train/parabola/problem_2069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:599608c90198b08b8da2569fc731fb88f7c3f6589247373409589bc6a7883686
+size 191373
diff --git a/results/train/parabola/problem_2071.png b/results/train/parabola/problem_2071.png
new file mode 100644
index 0000000000000000000000000000000000000000..bed2080a173830a83c5d10ba6004763c00236618
--- /dev/null
+++ b/results/train/parabola/problem_2071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8aec1ff8a14144cdfac1fa83e8efc577967dafeea2c46102a95f1a7e41e53b33
+size 197733
diff --git a/results/train/parabola/problem_2075.png b/results/train/parabola/problem_2075.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5d92fb1bd7ae12c9fb807dfac3fe83a54648879
--- /dev/null
+++ b/results/train/parabola/problem_2075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbfa612d051772f33553c1647df8e648f4e96dd8278fe34ea455eb647c22af14
+size 189046
diff --git a/results/train/parabola/problem_2080.png b/results/train/parabola/problem_2080.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d18959d71b1202d229f8f0a59c0106656b583fe
--- /dev/null
+++ b/results/train/parabola/problem_2080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99ed24a8605445de388864b6bad22319315bfee32a24f4929bf5358bc655d04c
+size 185500
diff --git a/results/train/parabola/problem_2081.png b/results/train/parabola/problem_2081.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a9f3220f1b64991ef0c2bdcf2d6c975c3fad30a
--- /dev/null
+++ b/results/train/parabola/problem_2081.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:489d4bc4a3b2fb62ef30ab594ed281e949efcfb4d828a033ce5ad3e7df063866
+size 191067
diff --git a/results/train/parabola/problem_2083.png b/results/train/parabola/problem_2083.png
new file mode 100644
index 0000000000000000000000000000000000000000..276235ab48bce56409d440536e2b3649e5ca4838
--- /dev/null
+++ b/results/train/parabola/problem_2083.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f8309accfe50b23b2d3e29d66b2df8226c334d1b2170e2bf3f3d6801fc7883c
+size 198964
diff --git a/results/train/parabola/problem_2087.png b/results/train/parabola/problem_2087.png
new file mode 100644
index 0000000000000000000000000000000000000000..0e1c1c3f867ea7bc2739c3a1961cc66c00644f85
--- /dev/null
+++ b/results/train/parabola/problem_2087.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46e2cf452fe4be20e653d96e09c20f8769720a33f72a687dccb92b7f90861c25
+size 193579
diff --git a/results/train/parabola/problem_2089.png b/results/train/parabola/problem_2089.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb888d901d2f4b6c5c1f6eb2dd44a6487a61b277
--- /dev/null
+++ b/results/train/parabola/problem_2089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9cb154480f3b040ae7cf4c839158ba12c79cbfa644ca799d18f51f136e26d38
+size 190018
diff --git a/results/train/parabola/problem_2092.png b/results/train/parabola/problem_2092.png
new file mode 100644
index 0000000000000000000000000000000000000000..55ffeda486b8a903c90adf9e8a9ef99a49283bd9
--- /dev/null
+++ b/results/train/parabola/problem_2092.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bf82c95d29946949f2acf06922ff00977bc6b76da6e6b903b07fc946de48a70
+size 192013
diff --git a/results/train/parabola/problem_2093.png b/results/train/parabola/problem_2093.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d5dcaea71bd88aa9ab55ff7dd5c785470439e19
--- /dev/null
+++ b/results/train/parabola/problem_2093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e76232f722f6f9f1ccead973bc0ae4a3eca22e93739efd032e524d797af0c8f9
+size 209660
diff --git a/results/train/parabola/problem_2095.png b/results/train/parabola/problem_2095.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fd6cd3cfdc93c4e489ed2364c499c87ed90fa2b
--- /dev/null
+++ b/results/train/parabola/problem_2095.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fd7eb9924aece2bfdbefbb8ee3b40f28e70e53136e7f19452a05ec035448723
+size 189887
diff --git a/results/train/parabola/problem_2096.png b/results/train/parabola/problem_2096.png
new file mode 100644
index 0000000000000000000000000000000000000000..4896e176601b01bbf37d652b29aa80623604e048
--- /dev/null
+++ b/results/train/parabola/problem_2096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9f2741a19d3c4f595ef8ab63b34d6b8d06b9133a6e8cd8788323ae6cdcb6aed
+size 192721
diff --git a/results/train/parabola/problem_2098.png b/results/train/parabola/problem_2098.png
new file mode 100644
index 0000000000000000000000000000000000000000..51b7890f2601979e4095e86289945a63ab767350
--- /dev/null
+++ b/results/train/parabola/problem_2098.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1756e078abf2a754f02b63c799cf1437eeaa2f5aaf38b87c1a72a67f90a6ce17
+size 198860
diff --git a/results/train/parabola/problem_2100.png b/results/train/parabola/problem_2100.png
new file mode 100644
index 0000000000000000000000000000000000000000..08ef59fd2712ae67373cd6a1a34f44f3279692c8
--- /dev/null
+++ b/results/train/parabola/problem_2100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b1250acab4a15509cfa72f43a17afba5f5da9542f9ace4c88c85c9c22938f44
+size 201784
diff --git a/results/train/parabola/problem_2103.png b/results/train/parabola/problem_2103.png
new file mode 100644
index 0000000000000000000000000000000000000000..08fec92f5d3468d7dd5b6c0317a0e92d1d053b53
--- /dev/null
+++ b/results/train/parabola/problem_2103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4728e342a3094fe451b0fa071bdbbe5f547c6adaeda0768456df40d0efbb945e
+size 189297
diff --git a/results/train/parabola/problem_2105.png b/results/train/parabola/problem_2105.png
new file mode 100644
index 0000000000000000000000000000000000000000..83cb1619c07ff2730c1dc2c9f35a34081b377698
--- /dev/null
+++ b/results/train/parabola/problem_2105.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd90e646ed2161236c61e9095db6b93b1af32b323a978d345e2a7af781a200e5
+size 170388
diff --git a/results/train/parabola/problem_2109.png b/results/train/parabola/problem_2109.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e59a950db9cbcb80f23e69f1167ad21d4f11f4f
--- /dev/null
+++ b/results/train/parabola/problem_2109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca4cae91845822393dfdbb44a77c1ead3dca11704e58fb61dbd850027302aaba
+size 184078
diff --git a/results/train/parabola/problem_2110.png b/results/train/parabola/problem_2110.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffd5670674a133d84b5431d349077e70fa88770f
--- /dev/null
+++ b/results/train/parabola/problem_2110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a763729e1d6b062f8ba734427baf98e567e2cf4f970c21b8ecb441ba0ce9035f
+size 204468
diff --git a/results/train/parabola/problem_2115.png b/results/train/parabola/problem_2115.png
new file mode 100644
index 0000000000000000000000000000000000000000..89f2536da482701db032e4e546cd2dc38e96636f
--- /dev/null
+++ b/results/train/parabola/problem_2115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:073b56faa687449ee0f8e29a2b4bbe9dafe024b6dac0cfbafb76c2d3d878b377
+size 185176
diff --git a/results/train/parabola/problem_2120.png b/results/train/parabola/problem_2120.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ee8570cf87e5ae621d024374a6d75684c9aa68b
--- /dev/null
+++ b/results/train/parabola/problem_2120.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:972399221f021769af87bf451ec7c244f668d0c139d343860e092c8878f6c1e6
+size 192675
diff --git a/results/train/parabola/problem_2127.png b/results/train/parabola/problem_2127.png
new file mode 100644
index 0000000000000000000000000000000000000000..1330fad6ff406ea20897337b68c5755b157e6954
--- /dev/null
+++ b/results/train/parabola/problem_2127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64a9d0a502c8e86ac9e5570bb35aa9c2e32fd5282c4059534855448be1ad7145
+size 173500
diff --git a/results/train/parabola/problem_2133.png b/results/train/parabola/problem_2133.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1266f03c8bf794e1d3bcb9e292bab7bafa06da7
--- /dev/null
+++ b/results/train/parabola/problem_2133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2a94f0f238dcf7f71b7e1d013fc011fff38baca8f2256f2cf2ac2f15d8dda0a
+size 204639
diff --git a/results/train/parabola/problem_2138.png b/results/train/parabola/problem_2138.png
new file mode 100644
index 0000000000000000000000000000000000000000..3462c112b803026365114ab9834dec7b8f7f3507
--- /dev/null
+++ b/results/train/parabola/problem_2138.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42044fdf57ed49c41035eeab61d9246976720c4b321b25d0ff8f4ce6a5266a9b
+size 190321
diff --git a/results/train/parabola/problem_2142.png b/results/train/parabola/problem_2142.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b7567e6f5d00ac61dcd6a43fab0880736b78449
--- /dev/null
+++ b/results/train/parabola/problem_2142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc1a61249177f1205882c4dd55a29318dcec78228778ec92c452d778496d5aee
+size 161244
diff --git a/results/train/parabola/problem_2144.png b/results/train/parabola/problem_2144.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ce67c6bdcf38b47bb855498f771a6f68cfa9e9e
--- /dev/null
+++ b/results/train/parabola/problem_2144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8a744809253bee18caa05b6bdfb71e6ba565a7ad666e00d47d2c302c0770095
+size 200765
diff --git a/results/train/parabola/problem_2148.png b/results/train/parabola/problem_2148.png
new file mode 100644
index 0000000000000000000000000000000000000000..e26b078b08b3b46c46bc2f9d10da2905e21c3db6
--- /dev/null
+++ b/results/train/parabola/problem_2148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4bf845513982076c22b272b9093c25138d17c354832333240c9e113234a6131
+size 192329
diff --git a/results/train/parabola/problem_2149.png b/results/train/parabola/problem_2149.png
new file mode 100644
index 0000000000000000000000000000000000000000..79c371db8725baa2efc3b5ded8ccb41b68e6cb6b
--- /dev/null
+++ b/results/train/parabola/problem_2149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f3298cb2892bacb7286d3a8c6bce31a44fc3220ba221f54ff8627822a69002d
+size 195794
diff --git a/results/train/parabola/problem_2150.png b/results/train/parabola/problem_2150.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6f593e16ffe26a5e39e6f3dab607056f11dc690
--- /dev/null
+++ b/results/train/parabola/problem_2150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41388a2a169f596860671235ab917aa7a97101e4a97dbc708bb64ea1845593c6
+size 189944
diff --git a/results/train/parabola/problem_2154.png b/results/train/parabola/problem_2154.png
new file mode 100644
index 0000000000000000000000000000000000000000..d57045caa3995c6348a94021776e78ece4c331ac
--- /dev/null
+++ b/results/train/parabola/problem_2154.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:660d2c8010a22d6f9236a82b8726cfdf4e885bb61692d37d29a2a458c3c617b0
+size 195195
diff --git a/results/train/parabola/problem_2156.png b/results/train/parabola/problem_2156.png
new file mode 100644
index 0000000000000000000000000000000000000000..cca9ac35fbfbbdf73f5ab852c988b0390fbe0151
--- /dev/null
+++ b/results/train/parabola/problem_2156.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bfc1ff8fe156b2bda4863cb724e99e62bb50f5501020405ced3b93d41350a5b
+size 205618
diff --git a/results/train/parabola/problem_2163.png b/results/train/parabola/problem_2163.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4f03c4717c8f7d2ecf4181c11fa2925d9a8ae39
--- /dev/null
+++ b/results/train/parabola/problem_2163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14315416f4fb3af022649df159c6016f6bd8362f9658c7a437919447936ad467
+size 191461
diff --git a/results/train/parabola/problem_2165.png b/results/train/parabola/problem_2165.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6ade42f22032f64e1c56c8a54c591130b2de95d
--- /dev/null
+++ b/results/train/parabola/problem_2165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4dc895f0a591eafb42402f41b346928f653f33a2bdcdb5d188623603cd3b935a
+size 187842
diff --git a/results/train/parabola/problem_2171.png b/results/train/parabola/problem_2171.png
new file mode 100644
index 0000000000000000000000000000000000000000..2172c4d36a2e35e8a6f10d4a21059795a3c8feb2
--- /dev/null
+++ b/results/train/parabola/problem_2171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb771ea12aa6d7cfd9c9b5b1340e97e15268d709d0cf44e1503a39145d96c566
+size 179075
diff --git a/results/train/parabola/problem_2172.png b/results/train/parabola/problem_2172.png
new file mode 100644
index 0000000000000000000000000000000000000000..033416709c1145c49a1184e27989979b9f2c0f13
--- /dev/null
+++ b/results/train/parabola/problem_2172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:727cd41e34309a4f9bb433909411461e75996756df0b72f7233741304966504f
+size 194576
diff --git a/results/train/parabola/problem_2179.png b/results/train/parabola/problem_2179.png
new file mode 100644
index 0000000000000000000000000000000000000000..536c54a932b4aeb4bef2d7047394ec0439c2dfaa
--- /dev/null
+++ b/results/train/parabola/problem_2179.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2609a0bf0966a72cf6721cf1a03a50a38fbd76d0da1bf451525085a284fa50bb
+size 190325
diff --git a/results/train/parabola/problem_2189.png b/results/train/parabola/problem_2189.png
new file mode 100644
index 0000000000000000000000000000000000000000..e76309491c1763960078109a3a9b13e543b5200d
--- /dev/null
+++ b/results/train/parabola/problem_2189.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27e4a32f120684870b195a107a68613a3ed7065db3110ac1a561347d90c7d3c9
+size 196844
diff --git a/results/train/parabola/problem_2191.png b/results/train/parabola/problem_2191.png
new file mode 100644
index 0000000000000000000000000000000000000000..59987f66db25f7887274b2a20b6dd86c820a21eb
--- /dev/null
+++ b/results/train/parabola/problem_2191.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8df5fded2cef4eecd102cf96181c79beaf992057cc2ec6da5a360d6590411759
+size 156614
diff --git a/results/train/parabola/problem_2194.png b/results/train/parabola/problem_2194.png
new file mode 100644
index 0000000000000000000000000000000000000000..3697f69d7c09bd78d14fb0433138fa0e4a4f6159
--- /dev/null
+++ b/results/train/parabola/problem_2194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11cd8cea84052cdf23877f3056a3e5014ae69ef75487e72aa4e82997368a549d
+size 186512
diff --git a/results/train/parabola/problem_2196.png b/results/train/parabola/problem_2196.png
new file mode 100644
index 0000000000000000000000000000000000000000..4643418d6cbd46a42b92c74ae596e6759c324757
--- /dev/null
+++ b/results/train/parabola/problem_2196.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97941f4d3eb82291d6a24522ae623e8838a8f8e9cab289580bbb5ee40e049ab5
+size 197388
diff --git a/results/train/parabola/problem_2202.png b/results/train/parabola/problem_2202.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1c0e0b67ce5a4e6ebf131dde4f4a92ac3deb441
--- /dev/null
+++ b/results/train/parabola/problem_2202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6acb0faacf8d800a4c37f86a33e35d426e9d8c87a3f5c388a69c3ab59311cee6
+size 191686
diff --git a/results/train/parabola/problem_2206.png b/results/train/parabola/problem_2206.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6de9913748c5ba09d3701b471002b7a77647f76
--- /dev/null
+++ b/results/train/parabola/problem_2206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84a1af752ff9d819efb9727b3e85966c1bce94d10f09403dd6fff539a24fe3c7
+size 182978
diff --git a/results/train/parabola/problem_2211.png b/results/train/parabola/problem_2211.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c9072df800eb7f7a9a584c5d58523d6cc412c44
--- /dev/null
+++ b/results/train/parabola/problem_2211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48adbfb5748d95e42f8265ee99f0e55642978b8322169b5d3a5713fb65ea3d79
+size 197084
diff --git a/results/train/parabola/problem_2229.png b/results/train/parabola/problem_2229.png
new file mode 100644
index 0000000000000000000000000000000000000000..84c5e2fde22cf5f3be59e03ff5e459f64710a49e
--- /dev/null
+++ b/results/train/parabola/problem_2229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b714cb1c59eb66721bbc1aa7ed3beb16cb2a51b23c396c4508189ee463320db9
+size 201600
diff --git a/results/train/parabola/problem_2230.png b/results/train/parabola/problem_2230.png
new file mode 100644
index 0000000000000000000000000000000000000000..9383644ed2d7b8314554f9447333051541664ec7
--- /dev/null
+++ b/results/train/parabola/problem_2230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26df05d86286e477b1ef2097278bdb09bfcf07d93510e6481161a87a736dd0c2
+size 186816
diff --git a/results/train/parabola/problem_2231.png b/results/train/parabola/problem_2231.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ec85ac44b0714a149715a73117da1c2f02d84f4
--- /dev/null
+++ b/results/train/parabola/problem_2231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:637fe134acb00eaf39db5cb5a0c70f3ce495c204b8901bedb414df02ed5d4a12
+size 194522
diff --git a/results/train/parabola/problem_2234.png b/results/train/parabola/problem_2234.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad8a8240e3d50804ccd2e46b0d4cdac519faeeb0
--- /dev/null
+++ b/results/train/parabola/problem_2234.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1a181b2dd16346dd1fb5fd1e26b6b41fd4d2fb97ce7ef07441b94b049be465a
+size 198685
diff --git a/results/train/parabola/problem_2235.png b/results/train/parabola/problem_2235.png
new file mode 100644
index 0000000000000000000000000000000000000000..5735afcaba7efc1de0d594ca90cef9634e55f2c8
--- /dev/null
+++ b/results/train/parabola/problem_2235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1493bdc36aba6c21a5d7c748f1c2513483bf47b5af9fa6dc53c1f38038880243
+size 201903
diff --git a/results/train/parabola/problem_2251.png b/results/train/parabola/problem_2251.png
new file mode 100644
index 0000000000000000000000000000000000000000..47b617faf42564103f64cb50949801764ce11cc9
--- /dev/null
+++ b/results/train/parabola/problem_2251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1903a95754ea2287ddeb7a3832be75ef16f1ed770b8298041c7c026aa3073373
+size 185889
diff --git a/results/train/parabola/problem_2253.png b/results/train/parabola/problem_2253.png
new file mode 100644
index 0000000000000000000000000000000000000000..94e527f6c6e8e1825c8db74f8acd306c6db0832b
--- /dev/null
+++ b/results/train/parabola/problem_2253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ddf7bd37d91c08973907241e16fe3a7f96ea6b3aac33c0b3bfd49c56f8a9fbe
+size 184271
diff --git a/results/train/parabola/problem_2256.png b/results/train/parabola/problem_2256.png
new file mode 100644
index 0000000000000000000000000000000000000000..42957b6b0121558f5ad55154557aff8771715ba5
--- /dev/null
+++ b/results/train/parabola/problem_2256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:578c0fe7f6d6267c615312e227ef79d3f07f5d5cce62ffa24ecb1a053ef0503b
+size 182571
diff --git a/results/train/parabola/problem_2260.png b/results/train/parabola/problem_2260.png
new file mode 100644
index 0000000000000000000000000000000000000000..3380a3486810b92bc7acd48a8a6f390741350ad3
--- /dev/null
+++ b/results/train/parabola/problem_2260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5bc4e23332543b378bcb7ae24d5fd72ef8adf1fa6fa3b326680eb5a2b0c7af0
+size 182125
diff --git a/results/train/parabola/problem_2262.png b/results/train/parabola/problem_2262.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9c5589d70439efb637da0b4a878c6b913b8bb1a
--- /dev/null
+++ b/results/train/parabola/problem_2262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1dd37d61cfb720731ebd82e8b3dccc42bfd5448572726ec687a20d30b1148e1e
+size 201678
diff --git a/results/train/parabola/problem_2265.png b/results/train/parabola/problem_2265.png
new file mode 100644
index 0000000000000000000000000000000000000000..941b41361653a5d9e69349b9be763ce348781e6f
--- /dev/null
+++ b/results/train/parabola/problem_2265.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21872dd52562a2d68c306d3f2aa84b57601d859301f5959c2215f2d481df8fc4
+size 180793
diff --git a/results/train/parabola/problem_2266.png b/results/train/parabola/problem_2266.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a9583f4575361c799b879585178a222eee0ff2c
--- /dev/null
+++ b/results/train/parabola/problem_2266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a15db09b042d471dedcbca4f7a693e8b730a6ecdbab457f9dce39d8a173b8467
+size 198833
diff --git a/results/train/parabola/problem_2269.png b/results/train/parabola/problem_2269.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4ad705e9952a71babfa6f0ecb66bdf51cf92e2f
--- /dev/null
+++ b/results/train/parabola/problem_2269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e25d09ca890ca7772f9a1a4005bcf35123dbf94e5d05a4a661a57605a0610375
+size 201328
diff --git a/results/train/parabola/problem_2278.png b/results/train/parabola/problem_2278.png
new file mode 100644
index 0000000000000000000000000000000000000000..52ed7d8476a2a8a2ff36002f1ccf72bf68421dd7
--- /dev/null
+++ b/results/train/parabola/problem_2278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93335817d2ce866dbdb711907016d2121f6258cb7132e61693af8d3669a6ec6b
+size 183159
diff --git a/results/train/parabola/problem_2280.png b/results/train/parabola/problem_2280.png
new file mode 100644
index 0000000000000000000000000000000000000000..61990fcfd612170c27d0cb503f97082f8adcaa25
--- /dev/null
+++ b/results/train/parabola/problem_2280.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b367c025f2e164ed3fefa611329a9f7d3a74595bd6ec8dd1b1893e7053f942b5
+size 181487
diff --git a/results/train/parabola/problem_2284.png b/results/train/parabola/problem_2284.png
new file mode 100644
index 0000000000000000000000000000000000000000..14cbda1ff2a512b515646497ec552428a88e8caa
--- /dev/null
+++ b/results/train/parabola/problem_2284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3187af5b32106414d07bf3295fca97163e66297c5eb8a3b5502fe8df445356d
+size 205608
diff --git a/results/train/parabola/problem_2288.png b/results/train/parabola/problem_2288.png
new file mode 100644
index 0000000000000000000000000000000000000000..c24d6bd34415f41cd8849f3608f8cf6c0518ee4f
--- /dev/null
+++ b/results/train/parabola/problem_2288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f112cddae6b030a35a19847132bc32cb29413eedbd79999291bc69ccf82a5aa9
+size 180389
diff --git a/results/train/parabola/problem_2292.png b/results/train/parabola/problem_2292.png
new file mode 100644
index 0000000000000000000000000000000000000000..598732e1ca9c3ccddd0a75a1123aca38d36f00ff
--- /dev/null
+++ b/results/train/parabola/problem_2292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f2d3cb70a9c6840e01295cfddd842b35a343e933c393a94a99a1abc62ae6c095
+size 185328
diff --git a/results/train/parabola/problem_2293.png b/results/train/parabola/problem_2293.png
new file mode 100644
index 0000000000000000000000000000000000000000..d26c5d73c469c90b35ab10e2cf5aa57b67587400
--- /dev/null
+++ b/results/train/parabola/problem_2293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:213f6a5325e78c2e0936e709203f555ca46169117663ccbaa319db1f1a249b00
+size 173553
diff --git a/results/train/parabola/problem_2294.png b/results/train/parabola/problem_2294.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cdf9017095c7dc6eff8fc5b1b7f134a5a85334e
--- /dev/null
+++ b/results/train/parabola/problem_2294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbb82e35d842716a71da7259239c3e34c3eb3213a5477eee3f1921e783d1318d
+size 192195
diff --git a/results/train/parabola/problem_2296.png b/results/train/parabola/problem_2296.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f426551198216cf83bdaebae65b7c5bee855582
--- /dev/null
+++ b/results/train/parabola/problem_2296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5b3cdf2d6ec1fd030f60cce7201b262d605a49c2a2f1541d10446151b5001c3
+size 188995
diff --git a/results/train/parabola/problem_2302.png b/results/train/parabola/problem_2302.png
new file mode 100644
index 0000000000000000000000000000000000000000..791a9bb55c313d56f4aa848abb1713ddb5ea30f0
--- /dev/null
+++ b/results/train/parabola/problem_2302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1bb11bd2446494e93259121a6dbc1b8810aae3aefa16878e678b2745be5965b
+size 184412
diff --git a/results/train/parabola/problem_2305.png b/results/train/parabola/problem_2305.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3e1c454b14b1c636ed7c82f76187b5bd3ca67f5
--- /dev/null
+++ b/results/train/parabola/problem_2305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79c1038530bcff52f2b51633ab0af97d0ddc64eb66cfe68e40eec6605662db70
+size 199238
diff --git a/results/train/parabola/problem_2310.png b/results/train/parabola/problem_2310.png
new file mode 100644
index 0000000000000000000000000000000000000000..c13e763ae3243df9ceb0848f12245043c39d9585
--- /dev/null
+++ b/results/train/parabola/problem_2310.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54d0cb63753450f9f7dd5d4084ffabb87eb5f9a37d4949cfada1925aadc7a9e4
+size 192042
diff --git a/results/train/parabola/problem_2311.png b/results/train/parabola/problem_2311.png
new file mode 100644
index 0000000000000000000000000000000000000000..c65ebb97aeef89e2035d5335f399a771e6092167
--- /dev/null
+++ b/results/train/parabola/problem_2311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50c5e6520077a5240c1f8e17a142ace775e7bf1d979b07279372dc41f6b2b62f
+size 179391
diff --git a/results/train/parabola/problem_2312.png b/results/train/parabola/problem_2312.png
new file mode 100644
index 0000000000000000000000000000000000000000..6dc94919052c4cd4df8f29fa88d77da5bbd47da9
--- /dev/null
+++ b/results/train/parabola/problem_2312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:acb10d069d4877454cda349ff3c660b4ca87f7155202784a8d6267f4c94aa90a
+size 190477
diff --git a/results/train/parabola/problem_2315.png b/results/train/parabola/problem_2315.png
new file mode 100644
index 0000000000000000000000000000000000000000..055617525850969606d3fce7f7f86cee9e1d9633
--- /dev/null
+++ b/results/train/parabola/problem_2315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a527868ba32e499252e7d66ffd4462d231ecbcafe20b466c855ecdfa2bd0fbc5
+size 192074
diff --git a/results/train/parabola/problem_2320.png b/results/train/parabola/problem_2320.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b21476ffc717ad0daaceb3d36329e19252383f9
--- /dev/null
+++ b/results/train/parabola/problem_2320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0673b6730b33d934b7a68e1b594fc9d322076f4f2ebe3c251f2bae736926a02d
+size 189711
diff --git a/results/train/parabola/problem_2325.png b/results/train/parabola/problem_2325.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d8f51058ca14ac8bee12c25baaae46f005e3300
--- /dev/null
+++ b/results/train/parabola/problem_2325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aed0a8f875edb6aca21ad8cfd689c434c8a4b08a82b520dff4862088bd401ccd
+size 197063
diff --git a/results/train/parabola/problem_2337.png b/results/train/parabola/problem_2337.png
new file mode 100644
index 0000000000000000000000000000000000000000..4042b9eb263682e866b746623b133268c712b98f
--- /dev/null
+++ b/results/train/parabola/problem_2337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d8da6d734a45d33e41bcb8d8fea30f594851ef8341cb599573f68107c14dc70a
+size 188683
diff --git a/results/train/parabola/problem_2341.png b/results/train/parabola/problem_2341.png
new file mode 100644
index 0000000000000000000000000000000000000000..125329df3f0f6762a2f53b7c320938f1e8b370a5
--- /dev/null
+++ b/results/train/parabola/problem_2341.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e7e8e1c50eb514158687c1f144ceef97a55032334ebfdd8b224038d63d37c7e
+size 154726
diff --git a/results/train/parabola/problem_2343.png b/results/train/parabola/problem_2343.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bb187244ab9a5fecc54b29190dda51881be64e6
--- /dev/null
+++ b/results/train/parabola/problem_2343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9197d2b1967aa28423e28b99afc994d2ef65f28907498751ce7ce5f1216edb93
+size 178599
diff --git a/results/train/parabola/problem_2347.png b/results/train/parabola/problem_2347.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce7cc60e60c3b5a3eb221456f3a6b3caea43a574
--- /dev/null
+++ b/results/train/parabola/problem_2347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1377c07eca7474c0153e581debd0f191a0a67e74560bb99c258728c77b422109
+size 200557
diff --git a/results/train/parabola/problem_2353.png b/results/train/parabola/problem_2353.png
new file mode 100644
index 0000000000000000000000000000000000000000..b413fef9175717fa29494d6959bb179717834058
--- /dev/null
+++ b/results/train/parabola/problem_2353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad215cd0a73ccffb60d04ffaad1672b183b7a0b5951a7d2ad4d975bed9aa2ac1
+size 182951
diff --git a/results/train/parabola/problem_2358.png b/results/train/parabola/problem_2358.png
new file mode 100644
index 0000000000000000000000000000000000000000..b136e291a25e12375f7efc63cf7a6f993cc95e4f
--- /dev/null
+++ b/results/train/parabola/problem_2358.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e5892bdf9748802f54586eef1064e74f807f00d753b4b5f7682fc16e933fb46
+size 158448
diff --git a/results/train/parabola/problem_2361.png b/results/train/parabola/problem_2361.png
new file mode 100644
index 0000000000000000000000000000000000000000..29c0e0be80a78c7df32b0fd4e7de296b4688fb5e
--- /dev/null
+++ b/results/train/parabola/problem_2361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d61195b673da96ea4971bcaee0c7f4df790fa07a9365e0b0d4ab99b1472c2174
+size 191757
diff --git a/results/train/parabola/problem_2371.png b/results/train/parabola/problem_2371.png
new file mode 100644
index 0000000000000000000000000000000000000000..2005b6fa0a0990e70c42abbd264fc5a9673f779b
--- /dev/null
+++ b/results/train/parabola/problem_2371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a54cf0224e17218fd79a51d9407b4d73ba6d1ff3f89376b0b269ae0c3835600a
+size 165819
diff --git a/results/train/parabola/problem_2373.png b/results/train/parabola/problem_2373.png
new file mode 100644
index 0000000000000000000000000000000000000000..1550c38ceaf43f640b039107e97456c2d2df216a
--- /dev/null
+++ b/results/train/parabola/problem_2373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1b6ca6d27afea1481b11dca7915f0cde8aa00468d76b3b105d2a49f4d066a58
+size 187815
diff --git a/results/train/parabola/problem_2385.png b/results/train/parabola/problem_2385.png
new file mode 100644
index 0000000000000000000000000000000000000000..89a873af33884745b7101c4e4f22fbca021faad7
--- /dev/null
+++ b/results/train/parabola/problem_2385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42a943f566d67af783704fa4d4350e32408d4191fdb361c3f52a51972c21e325
+size 179985
diff --git a/results/train/parabola/problem_2386.png b/results/train/parabola/problem_2386.png
new file mode 100644
index 0000000000000000000000000000000000000000..c60f10cbc51f7d8c8903456692306f8e35e7ce08
--- /dev/null
+++ b/results/train/parabola/problem_2386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28415f642cc0a4d78808aa450a98129527c16335b53d53c4378959682568bf24
+size 182687
diff --git a/results/train/parabola/problem_2390.png b/results/train/parabola/problem_2390.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e9407f4ae2589a58537a3745091c9563c9ebf86
--- /dev/null
+++ b/results/train/parabola/problem_2390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a559d641a6a7527eb04550b07039cb01eed8a9f4d430e81eead3ad6e89eb29e
+size 188830
diff --git a/results/train/parabola/problem_2392.png b/results/train/parabola/problem_2392.png
new file mode 100644
index 0000000000000000000000000000000000000000..5530cac5f887619a8ed44555327b2e26fbe1bc42
--- /dev/null
+++ b/results/train/parabola/problem_2392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15a36ade0ed3b968745a549e21dbd18abb7b714ffbad39121a54dc9be34c1bab
+size 203033
diff --git a/results/train/parabola/problem_2400.png b/results/train/parabola/problem_2400.png
new file mode 100644
index 0000000000000000000000000000000000000000..b333ac398072c27e1e3339b8e49cd39d4051b7f2
--- /dev/null
+++ b/results/train/parabola/problem_2400.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c312dad2aec5249b7853831ae1c51bff0fec5309b605d18f2defd9243973de1e
+size 186384
diff --git a/results/train/parabola/problem_2401.png b/results/train/parabola/problem_2401.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1934fb16a51d81af2458b7c28d2d7f5f1c8dcd1
--- /dev/null
+++ b/results/train/parabola/problem_2401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5329cd5c2a3dce3c1ab070b733460488193df4bee7d406bd9660bc7232a6cf0
+size 193472
diff --git a/results/train/parabola/problem_2403.png b/results/train/parabola/problem_2403.png
new file mode 100644
index 0000000000000000000000000000000000000000..3543cb6fcacb8e0d27aaa5355fa4e9f14d348089
--- /dev/null
+++ b/results/train/parabola/problem_2403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc4bfdf68d424f763d035aa8aab9952747f499ae2f702756e1dfdf39ec8d3f04
+size 187949
diff --git a/results/train/parabola/problem_2404.png b/results/train/parabola/problem_2404.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6472cc2a7249056a8a2e1f1d28fc9b216ac22ad
--- /dev/null
+++ b/results/train/parabola/problem_2404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a1da80a64a950a8a47b976eedd698caad2cc4e027d8bf33d1d20ea1a96d7b85
+size 182295
diff --git a/results/train/parabola/problem_2409.png b/results/train/parabola/problem_2409.png
new file mode 100644
index 0000000000000000000000000000000000000000..36f4fecacc82d0905a0aacf18b21cd881abec886
--- /dev/null
+++ b/results/train/parabola/problem_2409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb24b00f5689c7d708ede3f6cb9757218d8b9596064ecace2e4913d01523af6a
+size 195535
diff --git a/results/train/parabola/problem_2410.png b/results/train/parabola/problem_2410.png
new file mode 100644
index 0000000000000000000000000000000000000000..b03fc5dce0cb7de4255e0e87f053f79b2d1c227d
--- /dev/null
+++ b/results/train/parabola/problem_2410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66eab2b28dd167847e1cd15574fb326e7f6b3e345fd78470a04f391031ba12ff
+size 195056
diff --git a/results/train/parabola/problem_2412.png b/results/train/parabola/problem_2412.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b7f93f2e4adadaedac49a6808f91a3cef683279
--- /dev/null
+++ b/results/train/parabola/problem_2412.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14ed9158327f0ff51697289922a0af375782fa8a4139ec676f4980f992486a61
+size 194411
diff --git a/results/train/parabola/problem_2413.png b/results/train/parabola/problem_2413.png
new file mode 100644
index 0000000000000000000000000000000000000000..54c005c2d991fd2ba6320da681388cdd079562b7
--- /dev/null
+++ b/results/train/parabola/problem_2413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ceec801b507ec4cb42a2752a428de38d843e6f2a83c51458393c9858cbf9508a
+size 195244
diff --git a/results/train/parabola/problem_2415.png b/results/train/parabola/problem_2415.png
new file mode 100644
index 0000000000000000000000000000000000000000..7aa58a263c204ecf61e4d5fe285314b939fa695b
--- /dev/null
+++ b/results/train/parabola/problem_2415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1272a84d23a39f6d8a2848b51e5aae8887217b541963aac12820fd7e7a12b49e
+size 187215
diff --git a/results/train/parabola/problem_2429.png b/results/train/parabola/problem_2429.png
new file mode 100644
index 0000000000000000000000000000000000000000..550efca63e8d6cac1d909fdb61c0de3aa98af9f8
--- /dev/null
+++ b/results/train/parabola/problem_2429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bc7037a85e7ca0e0e1e3fc14f75811878d8c56fce8e9c6edd87600a265255fe
+size 195964
diff --git a/results/train/parabola/problem_2437.png b/results/train/parabola/problem_2437.png
new file mode 100644
index 0000000000000000000000000000000000000000..986e9c654ac0d1baefea4a6cd97d7166fb025327
--- /dev/null
+++ b/results/train/parabola/problem_2437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:968855aeb0e611c87548d622375a487b01319f70e76d8bd471007983f8d5adee
+size 187672
diff --git a/results/train/parabola/problem_2438.png b/results/train/parabola/problem_2438.png
new file mode 100644
index 0000000000000000000000000000000000000000..45bc6b2d336481a369f740a2b000a8e73a63c3af
--- /dev/null
+++ b/results/train/parabola/problem_2438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52cb847d126f4b0dd44309eeb4b2212858d1435cf582952c17f51d403c7417f6
+size 185588
diff --git a/results/train/parabola/problem_2439.png b/results/train/parabola/problem_2439.png
new file mode 100644
index 0000000000000000000000000000000000000000..90c743a9b34b99ddb78a5aa2888352bd5d54bd58
--- /dev/null
+++ b/results/train/parabola/problem_2439.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ffcdb596cf66d60cadcd007c781202b6be98d95c6709b32a5efe80313fccda4
+size 187363
diff --git a/results/train/parabola/problem_2442.png b/results/train/parabola/problem_2442.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8e901ab16707fca40555688a16b77dbbcdd78cc
--- /dev/null
+++ b/results/train/parabola/problem_2442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff89af79b846b7be4f46ee01ffa6792e951c7b01c0a4b8b7d80d4703e93ae4b9
+size 199782
diff --git a/results/train/parabola/problem_2446.png b/results/train/parabola/problem_2446.png
new file mode 100644
index 0000000000000000000000000000000000000000..19c57b74d0b7a8097475e0cbb1c0164bc79fba0c
--- /dev/null
+++ b/results/train/parabola/problem_2446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:899f141ca4ac8074039f3c2ac1d8e2f6083e5c7bd1707346bbb03e4d3ed8c203
+size 197244
diff --git a/results/train/parabola/problem_2447.png b/results/train/parabola/problem_2447.png
new file mode 100644
index 0000000000000000000000000000000000000000..63101feb633e88ffffaa61de09f630a80071c45e
--- /dev/null
+++ b/results/train/parabola/problem_2447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e82ef2e75c2e91be265b6aa666c79683ac05f1cd08279468b52f61863d9be360
+size 188680
diff --git a/results/train/parabola/problem_2448.png b/results/train/parabola/problem_2448.png
new file mode 100644
index 0000000000000000000000000000000000000000..ee46fb34e9602115971e3cd2ddd11f74ddf4a81b
--- /dev/null
+++ b/results/train/parabola/problem_2448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:392eae487e09dbb16097c1664f8b809f41fee8eb66a182e7a7b539dd79846ea1
+size 199859
diff --git a/results/train/parabola/problem_2451.png b/results/train/parabola/problem_2451.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d93043a743c65a738bf673e27fa137adadab662
--- /dev/null
+++ b/results/train/parabola/problem_2451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:895f27d099f57f672926b8cb2662e4b83b626a979bc0695f226acd34ff5ed38c
+size 171071
diff --git a/results/train/parabola/problem_2455.png b/results/train/parabola/problem_2455.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a0f0ea832d8cd1069cafcf6234425b46adb1b81
--- /dev/null
+++ b/results/train/parabola/problem_2455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57f6e3169139df0f2635a8481218dd9ad8f1cc7e122504423016f2c8537a1467
+size 183757
diff --git a/results/train/parabola/problem_2457.png b/results/train/parabola/problem_2457.png
new file mode 100644
index 0000000000000000000000000000000000000000..a128cb26f851f1205154d95108abab6a33a0f387
--- /dev/null
+++ b/results/train/parabola/problem_2457.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b34ec690618847a1f08c404bbf28ec8a5e4ec01694a8413dbb575491c83d5224
+size 189185
diff --git a/results/train/parabola/problem_2458.png b/results/train/parabola/problem_2458.png
new file mode 100644
index 0000000000000000000000000000000000000000..1aa3c5e969546e96f3d547824727c645e510790e
--- /dev/null
+++ b/results/train/parabola/problem_2458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50a114bb32d4c1c1a54ef2852dc6d71d8d6491eeeada40623bbde05b442e380f
+size 185753
diff --git a/results/train/parabola/problem_2459.png b/results/train/parabola/problem_2459.png
new file mode 100644
index 0000000000000000000000000000000000000000..596ae902f69f6489c45298c0250f2f3dac1de841
--- /dev/null
+++ b/results/train/parabola/problem_2459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12747e1e1795e4d8ad2a62652435f0d43880b2c6026a1a3069af3e6900dbff05
+size 200501
diff --git a/results/train/parabola/problem_2465.png b/results/train/parabola/problem_2465.png
new file mode 100644
index 0000000000000000000000000000000000000000..efff41026a7a020064018410b78fced863e07baf
--- /dev/null
+++ b/results/train/parabola/problem_2465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac5dfe03f9afed417f7feecd06f80ff985d8ee7cc51a80d586960175c560ee39
+size 187509
diff --git a/results/train/parabola/problem_2470.png b/results/train/parabola/problem_2470.png
new file mode 100644
index 0000000000000000000000000000000000000000..49f06ddab93ab1df47770ce5ea363dbf98809903
--- /dev/null
+++ b/results/train/parabola/problem_2470.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6b8e1182fb631fc0a0b71ad1bafa96ae09a54315c5c66c80a81d9fe3be24785
+size 179774
diff --git a/results/train/parabola/problem_2480.png b/results/train/parabola/problem_2480.png
new file mode 100644
index 0000000000000000000000000000000000000000..ced255e6340d21a147ea347c2245ce54c0641901
--- /dev/null
+++ b/results/train/parabola/problem_2480.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b192404b8e91455878072e7498db41ef3b4be9de9701e7ce7f68bce660513ce1
+size 198344
diff --git a/results/train/parabola/problem_2486.png b/results/train/parabola/problem_2486.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ed7336e8b7c06d90da858d4076328f734dee486
--- /dev/null
+++ b/results/train/parabola/problem_2486.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:796795678e1949c584c4aebd4e6ec17fe8eba22f76c30f49148dbc3ca6cbb3e0
+size 178794
diff --git a/results/train/parabola/problem_2491.png b/results/train/parabola/problem_2491.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd6b55ba72c2fe3b3063fa34e8e6cb7e36db665d
--- /dev/null
+++ b/results/train/parabola/problem_2491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a47671b53c8b5627dd0e3bc42d174efe068b12c37d7277245120cd90747d26ad
+size 190061
diff --git a/results/train/parabola/problem_2492.png b/results/train/parabola/problem_2492.png
new file mode 100644
index 0000000000000000000000000000000000000000..d9e3950e7e96796607ecabd8e7640b2a65206987
--- /dev/null
+++ b/results/train/parabola/problem_2492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54a0f77fd8d300adfd4aaa988aa6e2cf030847fa7e3dd697e6df6e19cec38ae1
+size 190268
diff --git a/results/train/parabola/problem_2495.png b/results/train/parabola/problem_2495.png
new file mode 100644
index 0000000000000000000000000000000000000000..904548f7a84f29046bbc492928931f606200fbac
--- /dev/null
+++ b/results/train/parabola/problem_2495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01300c0f5c9f14bf96cb9af1c78f572dca7adef41942dfce183c5698c8c20d97
+size 197478
diff --git a/results/train/parabola/problem_2498.png b/results/train/parabola/problem_2498.png
new file mode 100644
index 0000000000000000000000000000000000000000..06db6a9a03db9af7fa2113c446a4f8d10ad922b4
--- /dev/null
+++ b/results/train/parabola/problem_2498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec249702c85e2639ae2a15b852a961e5e6924b915e2b94289182a899782beb7b
+size 176834
diff --git a/results/train/parabola/problem_2499.png b/results/train/parabola/problem_2499.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3cb7dbeb5ac26b99ad09991ddd29896af3be087
--- /dev/null
+++ b/results/train/parabola/problem_2499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b06ef436f58db1e0f73b329347e2e0bc820e7db19e75304d737e2af234ed1b3
+size 187968
diff --git a/results/train/parabola/problem_2504.png b/results/train/parabola/problem_2504.png
new file mode 100644
index 0000000000000000000000000000000000000000..d21f2e08f326d3e31b3df887aa0837d291d1c2a6
--- /dev/null
+++ b/results/train/parabola/problem_2504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1c20fd3f3ea387c0e699f78158829257e7899cd47e8dca43828c4d1215917f2
+size 189481
diff --git a/results/train/parabola/problem_2507.png b/results/train/parabola/problem_2507.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c7630574055781ca845d52fd67d92567d3186c8
--- /dev/null
+++ b/results/train/parabola/problem_2507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4366be624207e96573d37c3bf7227400664b7a18d7b769f38f53e454e3bad3c9
+size 209561
diff --git a/results/train/parabola/problem_2510.png b/results/train/parabola/problem_2510.png
new file mode 100644
index 0000000000000000000000000000000000000000..874fd5d4bdac02d6319ea05395f06b1e42ca8ffe
--- /dev/null
+++ b/results/train/parabola/problem_2510.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5165855fadbd357c8bb5d5fc55f7589432963c3b57b44172cca08b1a1308c7e
+size 189247
diff --git a/results/train/parabola/problem_2514.png b/results/train/parabola/problem_2514.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb78c3227291945e846474f6482aa78c39b4fd7d
--- /dev/null
+++ b/results/train/parabola/problem_2514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e08dd24a11f589ec960bc2c2408703fc4ffa7e15475f7429671231ec333b841
+size 186963
diff --git a/results/train/parabola/problem_2516.png b/results/train/parabola/problem_2516.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8f538a1f5a4d756560abc3becaf23445d915f4f
--- /dev/null
+++ b/results/train/parabola/problem_2516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a93fdd9699331483405e7b4b0dc841bd8f298583c5a3a5cc7ef868b7b0302ee2
+size 186089
diff --git a/results/train/parabola/problem_2518.png b/results/train/parabola/problem_2518.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8405687ee5a6cee7772dbe7f3ddfda2cfae8ba3
--- /dev/null
+++ b/results/train/parabola/problem_2518.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff988f895e8a9bd896038dbe6ee81639c6402f17a1360de8424c58d1fd6cca74
+size 181083
diff --git a/results/train/parabola/problem_2520.png b/results/train/parabola/problem_2520.png
new file mode 100644
index 0000000000000000000000000000000000000000..8bfc1de89398374c8484f9a393330b3d3aeb33e0
--- /dev/null
+++ b/results/train/parabola/problem_2520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6b708752eefb74223279a797f0db7ba0908853e20ddf316706f01a233e24b09
+size 194530
diff --git a/results/train/parabola/problem_2521.png b/results/train/parabola/problem_2521.png
new file mode 100644
index 0000000000000000000000000000000000000000..55bfcf1c291f2035c89a239adf73dd7d489a3fae
--- /dev/null
+++ b/results/train/parabola/problem_2521.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99157cb9c7474968430807dd296121ebbf4459f976d3f05b8fb5408eae505dc3
+size 186699
diff --git a/results/train/parabola/problem_2524.png b/results/train/parabola/problem_2524.png
new file mode 100644
index 0000000000000000000000000000000000000000..994cf55cf6376f3f6b8598346f76534b4888a52a
--- /dev/null
+++ b/results/train/parabola/problem_2524.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5aa9a22d5036025155b747e535566bdf3a06e08ac0f82d9fff4773f95a1e821c
+size 188796
diff --git a/results/train/parabola/problem_2526.png b/results/train/parabola/problem_2526.png
new file mode 100644
index 0000000000000000000000000000000000000000..02da92740985030fe3a6147bf6e3d6c9dcc6d83d
--- /dev/null
+++ b/results/train/parabola/problem_2526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:202154fd8adbec0c7687dc7753fbe0ea5dcb26dddf8fdacefe0b7514c5531070
+size 190991
diff --git a/results/train/parabola/problem_2528.png b/results/train/parabola/problem_2528.png
new file mode 100644
index 0000000000000000000000000000000000000000..590810aef2e6b9d86c81c68b059169b28fc2dc76
--- /dev/null
+++ b/results/train/parabola/problem_2528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c0595c84455c76c8b5a8fb92c525e3c6eee212ed329b5b331b45cbb3d889e2b3
+size 184829
diff --git a/results/train/parabola/problem_2529.png b/results/train/parabola/problem_2529.png
new file mode 100644
index 0000000000000000000000000000000000000000..972a45a1fabbf2dd4f84fa1bfee34adca0a05de2
--- /dev/null
+++ b/results/train/parabola/problem_2529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34780732623226a1b1dcf9bd8ddb03088acd3ab5261ad091df0153150af59c5d
+size 185306
diff --git a/results/train/parabola/problem_2531.png b/results/train/parabola/problem_2531.png
new file mode 100644
index 0000000000000000000000000000000000000000..c16aab2dcebb381bfc90a4109f479dda15641544
--- /dev/null
+++ b/results/train/parabola/problem_2531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80d9813704d82295797432c9fce89c610c22d8743f1df64667f9777d89d5be79
+size 182244
diff --git a/results/train/parabola/problem_2533.png b/results/train/parabola/problem_2533.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2aca1d299f6e68c12820530771cfe93b883f8b1
--- /dev/null
+++ b/results/train/parabola/problem_2533.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7aecf18d8a913413192d7d85ea06ede3e4d2274206e52e35d576bac87c8f115
+size 195903
diff --git a/results/train/parabola/problem_2535.png b/results/train/parabola/problem_2535.png
new file mode 100644
index 0000000000000000000000000000000000000000..74e5960a65176bd3b81c7fdaafaf3a8a783abc3e
--- /dev/null
+++ b/results/train/parabola/problem_2535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a03d1e160ee6538fc0922109b62e50fe8b0203e93999e5ac07911222a8e9744
+size 183487
diff --git a/results/train/parabola/problem_2536.png b/results/train/parabola/problem_2536.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ca5b392606418a3e368eea8cea140e398a0995f
--- /dev/null
+++ b/results/train/parabola/problem_2536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13ec425015378ade3bd7089386cb12c1beb6ecb6337fcdff8037045c6cc2c93c
+size 199105
diff --git a/results/train/parabola/problem_2539.png b/results/train/parabola/problem_2539.png
new file mode 100644
index 0000000000000000000000000000000000000000..17d86298be165a44f815a831d0efc4d58519680f
--- /dev/null
+++ b/results/train/parabola/problem_2539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4dde653d86ccafa4a4dd019d3deef8797cd670f2350e83ca6f0d5a0db367c521
+size 190577
diff --git a/results/train/parabola/problem_2546.png b/results/train/parabola/problem_2546.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2804d024d7fad06cef37956c82c9e22e0f969f0
--- /dev/null
+++ b/results/train/parabola/problem_2546.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d1e1ee1396ec907f87b7ada8837a49ae7340722d7313de83cc0f24682eea19d
+size 191370
diff --git a/results/train/parabola/problem_2554.png b/results/train/parabola/problem_2554.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd4fad2814a882fb5c0f3960e72c2b09516f21e2
--- /dev/null
+++ b/results/train/parabola/problem_2554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85af58b6f0ceffe275c0486604ec0a1e94ed4a52d5523ce7bf6df516eb62b18e
+size 196888
diff --git a/results/train/parabola/problem_2556.png b/results/train/parabola/problem_2556.png
new file mode 100644
index 0000000000000000000000000000000000000000..c8002bdc35eac7a1f2121a0b93db4ec66e0aacc2
--- /dev/null
+++ b/results/train/parabola/problem_2556.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3dc974df1389dd788f9c62ed14eba36a858c2ba829c5aaa65c947d8da09de59c
+size 195440
diff --git a/results/train/parabola/problem_2559.png b/results/train/parabola/problem_2559.png
new file mode 100644
index 0000000000000000000000000000000000000000..92cc7eb20c97b9d9fda9ff09c15fa7bf2c177405
--- /dev/null
+++ b/results/train/parabola/problem_2559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d55bf8597a68e5eb265a1173e8d2edeea664cbf91b587d3141612a07392c31b6
+size 192589
diff --git a/results/train/parabola/problem_2561.png b/results/train/parabola/problem_2561.png
new file mode 100644
index 0000000000000000000000000000000000000000..c9e2eac9376ae98773b5cd0cb92fe98538f680c3
--- /dev/null
+++ b/results/train/parabola/problem_2561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73b2cf63cc9c3c08473db52c6571db75028e67cad91f7541d92e71e839445216
+size 186617
diff --git a/results/train/parabola/problem_2565.png b/results/train/parabola/problem_2565.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c7d2f0fd5ecbf244e4b51b09ce442f67d4e6906
--- /dev/null
+++ b/results/train/parabola/problem_2565.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4adbec5a01b226421f18a7530a13d841449524e1e81ab20e014060ec05d32019
+size 187444
diff --git a/results/train/parabola/problem_2574.png b/results/train/parabola/problem_2574.png
new file mode 100644
index 0000000000000000000000000000000000000000..752266f497e396b552694a60d0d765810cf58d1a
--- /dev/null
+++ b/results/train/parabola/problem_2574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6deb2df8972cede2f4ffba229f1028e2268a4de5b4b27e481a8e40f01d7d8a14
+size 187087
diff --git a/results/train/parabola/problem_2578.png b/results/train/parabola/problem_2578.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b2df7213509790d8f3dd04cfa64b9cdbf26ef5e
--- /dev/null
+++ b/results/train/parabola/problem_2578.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d49fca42a7b054b89276be02b420c16f36db122016ee6fbd7b412c86614eabc6
+size 164816
diff --git a/results/train/parabola/problem_2580.png b/results/train/parabola/problem_2580.png
new file mode 100644
index 0000000000000000000000000000000000000000..04890232def0bd5fcb15a60fcbe8f51addfb3bd4
--- /dev/null
+++ b/results/train/parabola/problem_2580.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:923900de304efb65e833f17c7f69fc9ea28f55404391fb3cd7fc56ecd8f2cd7c
+size 182534
diff --git a/results/train/parabola/problem_2584.png b/results/train/parabola/problem_2584.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0a136473c50c700dfd23a6c1b52acc02e83cd8d
--- /dev/null
+++ b/results/train/parabola/problem_2584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23836ad2d6c36a736886d67a002d3c7b91b5630e0bdfb950a846eb51a6ca31f8
+size 202965
diff --git a/results/train/parabola/problem_2585.png b/results/train/parabola/problem_2585.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e538e171b5aa71ea056c117c738ac9db173b94b
--- /dev/null
+++ b/results/train/parabola/problem_2585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e17c135b76c2a7fb15c463b4346d2f5f021a5f6fe4e01c5d1b17bb4ddf1ba33c
+size 192468
diff --git a/results/train/parabola/problem_2586.png b/results/train/parabola/problem_2586.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fa38f4fc5acf227a3cf8b2ec28d0c832d12f0d8
--- /dev/null
+++ b/results/train/parabola/problem_2586.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2821084db3db5a9451dd47768ed90c729f2ee8674fd3ee89d147589cc58fee5d
+size 186574
diff --git a/results/train/parabola/problem_2590.png b/results/train/parabola/problem_2590.png
new file mode 100644
index 0000000000000000000000000000000000000000..a47cfdcbbe353d66a5ff7e2f82465b37fbed25ce
--- /dev/null
+++ b/results/train/parabola/problem_2590.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d58254c025a80c05bfac4168ba639f3accf7ad5ca73f8f9aa6d4a36de46df62
+size 190187
diff --git a/results/train/parabola/problem_2593.png b/results/train/parabola/problem_2593.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3d6bbc4a87bb38ffc263e91c3136fe832222e22
--- /dev/null
+++ b/results/train/parabola/problem_2593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fb22a62cf39ba2bae261b188875805c4b001d2889e0e1d43a974c5a566e8c13
+size 198801
diff --git a/results/train/parabola/problem_2600.png b/results/train/parabola/problem_2600.png
new file mode 100644
index 0000000000000000000000000000000000000000..4825868cb05e910a4eeac31b65b0dae79e668f2c
--- /dev/null
+++ b/results/train/parabola/problem_2600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19aa1d310aab32724234b64af9bbbcec019127d21e705f2215db74295fe92025
+size 198355
diff --git a/results/train/parabola/problem_2611.png b/results/train/parabola/problem_2611.png
new file mode 100644
index 0000000000000000000000000000000000000000..d50b834097f469c51884c57d20bfccfed95a0f9e
--- /dev/null
+++ b/results/train/parabola/problem_2611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0f8ba9b2e96f34e6dc5e4598e73877450166a05432ed38b8e00454746e7269a
+size 187003
diff --git a/results/train/parabola/problem_2612.png b/results/train/parabola/problem_2612.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c9a5a0009a9f824e22410bb0416bce710a51a4f
--- /dev/null
+++ b/results/train/parabola/problem_2612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:671c9959362a8140fa89b0ddbf8cc4af447a8b80c07192d6119968d8bcf1705e
+size 190033
diff --git a/results/train/parabola/problem_2614.png b/results/train/parabola/problem_2614.png
new file mode 100644
index 0000000000000000000000000000000000000000..346c712efd36e8f78e73a900dc1dce37b30ddcf2
--- /dev/null
+++ b/results/train/parabola/problem_2614.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b43ba2fed1760790ae541e877725024089a9000758b063b072a08ac1aed94d8d
+size 188178
diff --git a/results/train/parabola/problem_2619.png b/results/train/parabola/problem_2619.png
new file mode 100644
index 0000000000000000000000000000000000000000..216b9f057e2593731fa05451e9d93795f5adfc52
--- /dev/null
+++ b/results/train/parabola/problem_2619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fd3358048881490029ed686e1790b5abf08eb0e1c18ee35c2f6f11d6f0f83dc
+size 199732
diff --git a/results/train/parabola/problem_2620.png b/results/train/parabola/problem_2620.png
new file mode 100644
index 0000000000000000000000000000000000000000..18b10d430dab411f950c7a89b19b270196847118
--- /dev/null
+++ b/results/train/parabola/problem_2620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3e4da2d882e6e6dcab712278e4690da91af9757b865db95f9fd34935a4cb5e0
+size 194908
diff --git a/results/train/parabola/problem_2632.png b/results/train/parabola/problem_2632.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b5412a310ca9b8e97f10b96d7f5966c9485d54b
--- /dev/null
+++ b/results/train/parabola/problem_2632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f390adf32ae06d40b968d7ab024508cc734624bbcb1e33acaa6ca86600b1851b
+size 182442
diff --git a/results/train/parabola/problem_2637.png b/results/train/parabola/problem_2637.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fc38af272ce62eb41860ee746663a53379e936f
--- /dev/null
+++ b/results/train/parabola/problem_2637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0214b7279e49b7a044518976391b888987c5e05f269bde2a7d5cbf9197163be1
+size 190607
diff --git a/results/train/parabola/problem_2641.png b/results/train/parabola/problem_2641.png
new file mode 100644
index 0000000000000000000000000000000000000000..7623ece601068afeed0a5160ab5d5d2efd2a5c93
--- /dev/null
+++ b/results/train/parabola/problem_2641.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19155fd4a3c10ff1ecc46c674f0afa37e5cca3d594fe87f42c7df1017db95a50
+size 188640
diff --git a/results/train/parabola/problem_2643.png b/results/train/parabola/problem_2643.png
new file mode 100644
index 0000000000000000000000000000000000000000..db3100c3b086eb7088767e2bddf8e563ff7eb365
--- /dev/null
+++ b/results/train/parabola/problem_2643.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11b78ffc5d9eecf6a251dcf7371e359c7aaef7b8d1d5d4b01e0b893b361a5f25
+size 201082
diff --git a/results/train/parabola/problem_2645.png b/results/train/parabola/problem_2645.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b559d5185f6639bc7e08e637d1a645bcbbd02ad
--- /dev/null
+++ b/results/train/parabola/problem_2645.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b97f752295db4b042b4135c0d2814d544b0bedb0e24eda348e48ab1f1f677ad
+size 198222
diff --git a/results/train/parabola/problem_2650.png b/results/train/parabola/problem_2650.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4132c4ad6ca98b1c19a452acb1bac966fb4734c
--- /dev/null
+++ b/results/train/parabola/problem_2650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:685dd6659f85312ccb3143f6c50200d419d96770d53d2d6324b7730b4f1ad576
+size 186170
diff --git a/results/train/parabola/problem_2658.png b/results/train/parabola/problem_2658.png
new file mode 100644
index 0000000000000000000000000000000000000000..1bd30dba25ea20431c39b02b3ed530cd2ef661fc
--- /dev/null
+++ b/results/train/parabola/problem_2658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a81a4a5d17c2ee7a3a3e34c326adcd2918f545f326bce8ab55a7337aacc1a564
+size 165777
diff --git a/results/train/parabola/problem_2663.png b/results/train/parabola/problem_2663.png
new file mode 100644
index 0000000000000000000000000000000000000000..b92c7badb19743c6df1a2a81db06fc78da9aeef1
--- /dev/null
+++ b/results/train/parabola/problem_2663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b39381925133543df63e5b1f59a21559b2d02bd00874c2488dd20f99f72b74d
+size 194095
diff --git a/results/train/parabola/problem_2664.png b/results/train/parabola/problem_2664.png
new file mode 100644
index 0000000000000000000000000000000000000000..6966cddc5665abc710674f6b92aa1e345d488de0
--- /dev/null
+++ b/results/train/parabola/problem_2664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be612ac27fcb2b3aa4c25948373faeb9e04bc25c5322253b32d263a1fb4ad297
+size 177081
diff --git a/results/train/parabola/problem_2668.png b/results/train/parabola/problem_2668.png
new file mode 100644
index 0000000000000000000000000000000000000000..9579783209bfae1a4ae618f484b9c0efc2c78429
--- /dev/null
+++ b/results/train/parabola/problem_2668.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc10319ceb9364cf5e076eb698707de23a58b04e2359b330a031079baaaa54f3
+size 183122
diff --git a/results/train/parabola/problem_2675.png b/results/train/parabola/problem_2675.png
new file mode 100644
index 0000000000000000000000000000000000000000..03ba7abeef5252f78ef20e610f5b13d4f3d82289
--- /dev/null
+++ b/results/train/parabola/problem_2675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dad41fc80f3ea3765c61f83d6a251c6a0d9ff5976a44107e49acc79679d7b8bc
+size 199187
diff --git a/results/train/parabola/problem_2681.png b/results/train/parabola/problem_2681.png
new file mode 100644
index 0000000000000000000000000000000000000000..77795e8dbfcb1f5a03142ceff9bd0fd5bc744c54
--- /dev/null
+++ b/results/train/parabola/problem_2681.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a05ce71d18f4b5343fa1fd0768afcda1c360404c47d7ba98efc0ec0d9c61372e
+size 204947
diff --git a/results/train/parabola/problem_2682.png b/results/train/parabola/problem_2682.png
new file mode 100644
index 0000000000000000000000000000000000000000..350863d4235417bffb02a8f5ffdb77a747f30e73
--- /dev/null
+++ b/results/train/parabola/problem_2682.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9731f027da3cc9d4fa22eacd875645c450425ade29b76d374b1fff22d0d3f973
+size 192245
diff --git a/results/train/parabola/problem_2688.png b/results/train/parabola/problem_2688.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d3238ca04978f999e68a7161a360bf900d4a938
--- /dev/null
+++ b/results/train/parabola/problem_2688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fe83974a3341d1c02067c9272f614b425548ba4c9811b15647115ea79b1fac2
+size 190508
diff --git a/results/train/parabola/problem_2690.png b/results/train/parabola/problem_2690.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb062937eae89a196d157a8dd1d16739c53bd89a
--- /dev/null
+++ b/results/train/parabola/problem_2690.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60746f4209543e5563b583667d7c5aaa562e774875fa3f0d4e6dbf0980f89835
+size 187061
diff --git a/results/train/parabola/problem_2694.png b/results/train/parabola/problem_2694.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ef4473d56a4429024d131805f613d417e68b4d5
--- /dev/null
+++ b/results/train/parabola/problem_2694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd419becddc6b7ec7fcfbb2625e2585785673daead11aed7cbba73467b744989
+size 180602
diff --git a/results/train/parabola/problem_2696.png b/results/train/parabola/problem_2696.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cd74a5924bb9dd84dae7c04cfa049a9b2a73493
--- /dev/null
+++ b/results/train/parabola/problem_2696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd2245e6cfbf86af94d4e246d5c577cb4bcd9543d405fcea6f543f76162e146d
+size 182779
diff --git a/results/train/parabola/problem_2700.png b/results/train/parabola/problem_2700.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbc326b72c3d49d5d6a64013b7b0fbb2af02d97a
--- /dev/null
+++ b/results/train/parabola/problem_2700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6506c6b03ddc7fdcd1b191dccfbdf53712c098751e7027b66bd1044dacfc238
+size 199955
diff --git a/results/train/parabola/problem_2712.png b/results/train/parabola/problem_2712.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a7d7295cf25f1e8ccdf3eabffdca60601d81e86
--- /dev/null
+++ b/results/train/parabola/problem_2712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6fd15c7485460b81e70cba2be7d386432c98886823fd5ddec4ce0ba2f2293db1
+size 192247
diff --git a/results/train/parabola/problem_2728.png b/results/train/parabola/problem_2728.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6e72958d11ad195d2679ed4dcc390e235c82ebd
--- /dev/null
+++ b/results/train/parabola/problem_2728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a428937e40020223ac285500f5a8efebcf53de30f72fd9e718c67c4b3c35fa5f
+size 185327
diff --git a/results/train/parabola/problem_2731.png b/results/train/parabola/problem_2731.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9dfdd3ec49a8673aeb732b12550d711d2115b7e
--- /dev/null
+++ b/results/train/parabola/problem_2731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb303f0c770b9ee987bc010d36ee8e0ec54eda8668205edaf3682308644abec5
+size 155245
diff --git a/results/train/parabola/problem_2732.png b/results/train/parabola/problem_2732.png
new file mode 100644
index 0000000000000000000000000000000000000000..555deeeb6f1d341eb63f71691ab38859f44725fb
--- /dev/null
+++ b/results/train/parabola/problem_2732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93cea56ccad70e34603bccf854c70f7780b260319b45e751c4fe7b20b9026124
+size 187950
diff --git a/results/train/parabola/problem_2744.png b/results/train/parabola/problem_2744.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1ea835f5c818e7023c1b705c8057caa2717f325
--- /dev/null
+++ b/results/train/parabola/problem_2744.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:495664dafa50dc06ab1e511ec10f486ba71974ea10ea153f67c07fd434115873
+size 202505
diff --git a/results/train/parabola/problem_2747.png b/results/train/parabola/problem_2747.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab2024106c0e45b45faca66dbb6380c617be277a
--- /dev/null
+++ b/results/train/parabola/problem_2747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97574e689fa52a0af6973429c0ba2c1c51ecbd98b2f4eb3287af96dd563edea0
+size 172296
diff --git a/results/train/parabola/problem_2748.png b/results/train/parabola/problem_2748.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ae46fadddacd395fdbb1f3b258fa2dd4ea3f625
--- /dev/null
+++ b/results/train/parabola/problem_2748.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e88153e5cb378c17c74cb1fe32e0692844ed00f70827e2c649c962ebf24e0e9a
+size 181207
diff --git a/results/train/parabola/problem_2749.png b/results/train/parabola/problem_2749.png
new file mode 100644
index 0000000000000000000000000000000000000000..a260f5f698de662408332e7ef5754bc2d4d80fb0
--- /dev/null
+++ b/results/train/parabola/problem_2749.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75c09552a564d25801e8704fed9955ba578f702d5a9f35d0b1810e18621e3784
+size 190166
diff --git a/results/train/parabola/problem_2756.png b/results/train/parabola/problem_2756.png
new file mode 100644
index 0000000000000000000000000000000000000000..702f62dcaa55f357045078b80ffac133313b7a51
--- /dev/null
+++ b/results/train/parabola/problem_2756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1457c929d40e18dfa18f91b3e0c7b25c3a77049d6f09f04f807816aac11d9717
+size 193157
diff --git a/results/train/parabola/problem_2757.png b/results/train/parabola/problem_2757.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a41e75a4febf30a7465ac5cbb9687c780ce1f54
--- /dev/null
+++ b/results/train/parabola/problem_2757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4a11e4df676ce10cd8f3cc59dced1c9e2f46d5b548dfb5f3775cd256afb87d0
+size 195389
diff --git a/results/train/parabola/problem_2761.png b/results/train/parabola/problem_2761.png
new file mode 100644
index 0000000000000000000000000000000000000000..64d926be9df71a21b4a82b6f46ea649adc84017f
--- /dev/null
+++ b/results/train/parabola/problem_2761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:591aae4422a7045a36e333a1fed00553486cbb9441877759d97afa785179ec4f
+size 189748
diff --git a/results/train/parabola/problem_2762.png b/results/train/parabola/problem_2762.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3b613a6a9d8be9d9d914791c7bf38a124bf2906
--- /dev/null
+++ b/results/train/parabola/problem_2762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:316a424f4c4095b1f4a3e43935fb94c0531229b46767a2198b3188b977d741d8
+size 188652
diff --git a/results/train/parabola/problem_2765.png b/results/train/parabola/problem_2765.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfec117405e3d9997795d33b03ed765cd0732b25
--- /dev/null
+++ b/results/train/parabola/problem_2765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c28fa4831a598c99ab5317097792bb5fbac815c48656efcaff0adf90dc96a83
+size 193533
diff --git a/results/train/parabola/problem_2775.png b/results/train/parabola/problem_2775.png
new file mode 100644
index 0000000000000000000000000000000000000000..46685d3e16b02f65255e224ba156871168935193
--- /dev/null
+++ b/results/train/parabola/problem_2775.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e698948888fcf619611b35a4aec7d89bcf295c8309ec63cd86c303aeb24b49fc
+size 195910
diff --git a/results/train/parabola/problem_2777.png b/results/train/parabola/problem_2777.png
new file mode 100644
index 0000000000000000000000000000000000000000..7449ad2737a8b7ca1c0d952363a029c21e014106
--- /dev/null
+++ b/results/train/parabola/problem_2777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce9847bc7bf6455327f07d19c551e89a3a6e98224c72aa8d5566edfd147072cd
+size 187176
diff --git a/results/train/parabola/problem_2785.png b/results/train/parabola/problem_2785.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fd949e94d50842fc0d01a8960e453ec8e529d53
--- /dev/null
+++ b/results/train/parabola/problem_2785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afaefa380906a98942e9f5c51f56e5894b2cc7a37aa8e3af7fc66c273e7ae58c
+size 192990
diff --git a/results/train/parabola/problem_2791.png b/results/train/parabola/problem_2791.png
new file mode 100644
index 0000000000000000000000000000000000000000..e50d018ee2acb2b6a9c2beeb730d4f22f591ae1e
--- /dev/null
+++ b/results/train/parabola/problem_2791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3e1b584fa30847e454e8d7a1b06c1193d33fc4802aa09576ec9948710905e5f
+size 194148
diff --git a/results/train/parabola/problem_2794.png b/results/train/parabola/problem_2794.png
new file mode 100644
index 0000000000000000000000000000000000000000..af58f1c36107a2e98ca91da2996252bfc99b2cd3
--- /dev/null
+++ b/results/train/parabola/problem_2794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:913ad159531561fd9a979bd1a51faf2324671d3a6b040af34868eece47503ad7
+size 191517
diff --git a/results/train/parabola/problem_2796.png b/results/train/parabola/problem_2796.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a22aa02a5ec47b9daeceacf8b5b76b9652c8647
--- /dev/null
+++ b/results/train/parabola/problem_2796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00db1f474712c0bc1c292d69b029f4081ac72c5f8e9b57cea5576a25b35fc982
+size 185945
diff --git a/results/train/parabola/problem_2802.png b/results/train/parabola/problem_2802.png
new file mode 100644
index 0000000000000000000000000000000000000000..e790df8818c59b272f69251c075ae2858a60a1b9
--- /dev/null
+++ b/results/train/parabola/problem_2802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecc95bf1b80377deb18a85a262f9cfb21c00fd076bd5d92009fdd8387043cdbe
+size 190055
diff --git a/results/train/parabola/problem_2806.png b/results/train/parabola/problem_2806.png
new file mode 100644
index 0000000000000000000000000000000000000000..a246b32cf2d708a2b2803a80da48607c31564489
--- /dev/null
+++ b/results/train/parabola/problem_2806.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f7325eb5ee84dfe00f180b175827fa51f369d783a065405ec599d0e78e5d1876
+size 197844
diff --git a/results/train/parabola/problem_2807.png b/results/train/parabola/problem_2807.png
new file mode 100644
index 0000000000000000000000000000000000000000..b099ff2cc29f91be8e6534fe9f7a622141a5e26a
--- /dev/null
+++ b/results/train/parabola/problem_2807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fadfe7591ba7b11b587eb72dac92d076d627cebbc8be83e431c1d8336cc4b204
+size 166419
diff --git a/results/train/parabola/problem_2819.png b/results/train/parabola/problem_2819.png
new file mode 100644
index 0000000000000000000000000000000000000000..d07507c10f4215447c39f9e840cc32db1113dfa9
--- /dev/null
+++ b/results/train/parabola/problem_2819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c7478edda1c4f150a2cbae07c6003817bfd073db0a1a8ce6bd8bc99b95d85542
+size 189739
diff --git a/results/train/parabola/problem_2825.png b/results/train/parabola/problem_2825.png
new file mode 100644
index 0000000000000000000000000000000000000000..ba431fa07826d0b1f58cec823e94e9ac8366260f
--- /dev/null
+++ b/results/train/parabola/problem_2825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:997d22ac8f9015d8dc56e2950d5928e4cdd977cdf14116af08566e0832c70355
+size 193519
diff --git a/results/train/parabola/problem_2827.png b/results/train/parabola/problem_2827.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eb7c6429aff16e6584a6a751bc6630750d3ce96
--- /dev/null
+++ b/results/train/parabola/problem_2827.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d295e2d020493d761f8fdafa5667561546f80861e3a18ec340bfac2a70fbdf0d
+size 195157
diff --git a/results/train/parabola/problem_2833.png b/results/train/parabola/problem_2833.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfdb4152240335545365386c2084d38e52cebcb6
--- /dev/null
+++ b/results/train/parabola/problem_2833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c34fc933cebf23dd5102e30b0c6ef17b3bb74e8b186f2f10ed8f3a2fb7b4b992
+size 193775
diff --git a/results/train/parabola/problem_2834.png b/results/train/parabola/problem_2834.png
new file mode 100644
index 0000000000000000000000000000000000000000..fee2086b875828946913e8e7bf3cad3aff5b4609
--- /dev/null
+++ b/results/train/parabola/problem_2834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:521a51e5b7b7dd172db115fd4ec16b9b6bb2b66cbb0f61b763933f4bc092a603
+size 192005
diff --git a/results/train/parabola/problem_2838.png b/results/train/parabola/problem_2838.png
new file mode 100644
index 0000000000000000000000000000000000000000..62dab6333594e2d32b418d1b0192885ede87da97
--- /dev/null
+++ b/results/train/parabola/problem_2838.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff5f947a5a935794e973d1c9e20b83f8e8e50ec785eb8a4bb18a62bc460ccb6c
+size 187475
diff --git a/results/train/parabola/problem_2843.png b/results/train/parabola/problem_2843.png
new file mode 100644
index 0000000000000000000000000000000000000000..dba49c4a69db7e28b8f18e64de953172516df002
--- /dev/null
+++ b/results/train/parabola/problem_2843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b3e314d44dfac29fbddf3f37ba54cb2ac868d07fbb875fb493c768608518aef
+size 186751
diff --git a/results/train/parabola/problem_2845.png b/results/train/parabola/problem_2845.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc11f14bd90f666211d462b6012811d80bb6a890
--- /dev/null
+++ b/results/train/parabola/problem_2845.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:01df21e006df898b6ede2640539b1809743aeb60cc850699ffa199fdc149d7b1
+size 191467
diff --git a/results/train/parabola/problem_2846.png b/results/train/parabola/problem_2846.png
new file mode 100644
index 0000000000000000000000000000000000000000..0dbc72364b40229ca522ac7f36c711f0633d1082
--- /dev/null
+++ b/results/train/parabola/problem_2846.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10e88c8f00bb463db9ef6f06cee9b0253743e41ef8b3cd807bd6b92f260dddff
+size 189141
diff --git a/results/train/parabola/problem_2848.png b/results/train/parabola/problem_2848.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdaa9122ecab1bd32f9b7a07730073e6dbaeff3f
--- /dev/null
+++ b/results/train/parabola/problem_2848.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73bc044afb22270a678ddbd6e03da90d2d97dfbc488496119c8827d40012347c
+size 189119
diff --git a/results/train/parabola/problem_2849.png b/results/train/parabola/problem_2849.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d7dcd69c01b2dcf5b95e6090ce650a7c5f08e96
--- /dev/null
+++ b/results/train/parabola/problem_2849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14c2a468f79f7d3b89c247ee4cae6231b7932da4e6263577023e2af73bc771d8
+size 201702
diff --git a/results/train/parabola/problem_2850.png b/results/train/parabola/problem_2850.png
new file mode 100644
index 0000000000000000000000000000000000000000..44a349ea3ef8224a0570e7e9243367740c9e7cbb
--- /dev/null
+++ b/results/train/parabola/problem_2850.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dae9aafa97c6c3aef309acf61946ec3fe8d932b602a6f2b5632d93dcac2723d1
+size 185291
diff --git a/results/train/parabola/problem_2852.png b/results/train/parabola/problem_2852.png
new file mode 100644
index 0000000000000000000000000000000000000000..8977b5ded4b57435820782ea1d97d8ca00582c74
--- /dev/null
+++ b/results/train/parabola/problem_2852.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc669ebf7480be145bea8409496af3a17e2448acbc52b436c845be150e543aca
+size 200895
diff --git a/results/train/parabola/problem_2853.png b/results/train/parabola/problem_2853.png
new file mode 100644
index 0000000000000000000000000000000000000000..b34f40704bd9331a0302273ee5e70338891a01fc
--- /dev/null
+++ b/results/train/parabola/problem_2853.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9a7ddb10c22bd0a26c6086980549dfe373d4adacb6f88d66a61385a627085f0
+size 194118
diff --git a/results/train/parabola/problem_2871.png b/results/train/parabola/problem_2871.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6a7cd85923265c78f1c0df4fce41143f201019e
--- /dev/null
+++ b/results/train/parabola/problem_2871.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9743368114b45aa7096eb96bd54732fa22310b315dad84a5956290865aab560f
+size 186857
diff --git a/results/train/parabola/problem_2872.png b/results/train/parabola/problem_2872.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa44a6734344cb0037e60dfb4c6eacdb12693bed
--- /dev/null
+++ b/results/train/parabola/problem_2872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9ddebccf117bba4b2a5bc1bc14785b0b6586e6ccc88af9ea5b6d414abc5b197
+size 193149
diff --git a/results/train/parabola/problem_2874.png b/results/train/parabola/problem_2874.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b098843d4756a5624d8ad7c282a5abeb350a84d
--- /dev/null
+++ b/results/train/parabola/problem_2874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:146a5b9bcd2ebe74e86b80ad6123465825c94715c31a0feb828c4a06b932f0d4
+size 181377
diff --git a/results/train/parabola/problem_2880.png b/results/train/parabola/problem_2880.png
new file mode 100644
index 0000000000000000000000000000000000000000..0a61559c24f44fa7048d6e34579715eabe37b29d
--- /dev/null
+++ b/results/train/parabola/problem_2880.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e12f07eae7b13465e3a25f3abd38c5dbed075f8ed9fe8c0794985a8ccd41403c
+size 190916
diff --git a/results/train/parabola/problem_2888.png b/results/train/parabola/problem_2888.png
new file mode 100644
index 0000000000000000000000000000000000000000..d990bc14766216ab7bcd999b8c93d4ca723b9d5d
--- /dev/null
+++ b/results/train/parabola/problem_2888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42c372d6c3409ba58e128f3372fc3c08af5fe25ac0b488b64baf83c112ec5be7
+size 207989
diff --git a/results/train/parabola/problem_2890.png b/results/train/parabola/problem_2890.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad12c2d043baaae9bbaa44f83d840ef047f8968e
--- /dev/null
+++ b/results/train/parabola/problem_2890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:370ca121141a6a32a699aa56885f4fae720c93139c91f268ba5b4c6b56c0e577
+size 205760
diff --git a/results/train/parabola/problem_2894.png b/results/train/parabola/problem_2894.png
new file mode 100644
index 0000000000000000000000000000000000000000..824416f07ec0eaeae19cda7918d5bbd5ef491079
--- /dev/null
+++ b/results/train/parabola/problem_2894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e0c8d21df7da4aa138353bdf076480d2f3b7635114f9b0f863f53cbbd328499f
+size 193122
diff --git a/results/train/parabola/problem_2903.png b/results/train/parabola/problem_2903.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e83c861c2fb27eee70e0e4d290b55ec8cabe5ea
--- /dev/null
+++ b/results/train/parabola/problem_2903.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:844ba0dfbc09d1226ab765c2b04c19832942539186bf92c873aa6f4367180166
+size 204398
diff --git a/results/train/parabola/problem_2905.png b/results/train/parabola/problem_2905.png
new file mode 100644
index 0000000000000000000000000000000000000000..93ff85a547e39bcd6989887ea98352bdfafd4527
--- /dev/null
+++ b/results/train/parabola/problem_2905.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61baf0264e768b612c40486389c98213f3a66605f1bfbb3ba47b202bce37426e
+size 190236
diff --git a/results/train/parabola/problem_2907.png b/results/train/parabola/problem_2907.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3d4e808222d6b83bd504441333d36369869f633
--- /dev/null
+++ b/results/train/parabola/problem_2907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9311bf70642f1eb721ebe253ff719f18078aa6faab452958ad65c3c3cdd6698
+size 187416
diff --git a/results/train/parabola/problem_2909.png b/results/train/parabola/problem_2909.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f086bdb0defb8b6c93bf6ef358f78bb9f78fe1e
--- /dev/null
+++ b/results/train/parabola/problem_2909.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfa1b2097d31a1ce4d44575892d955a8930220d931f2a3263e510f1be1d26231
+size 179252
diff --git a/results/train/parabola/problem_2915.png b/results/train/parabola/problem_2915.png
new file mode 100644
index 0000000000000000000000000000000000000000..d86de136e549e54576e50c452ecb7e5771330b93
--- /dev/null
+++ b/results/train/parabola/problem_2915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ad60002779a587cd6af3e5216e72993ad2e0b499295f59f27a251c921b150f9e
+size 184370
diff --git a/results/train/parabola/problem_2918.png b/results/train/parabola/problem_2918.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb29d470950b7382c3aa3a958e371c05a36451ba
--- /dev/null
+++ b/results/train/parabola/problem_2918.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e722aab8ee1d2a9312d04f81f2c0e6ce9327bb406af40e3adc3e35ae314a885
+size 201874
diff --git a/results/train/parabola/problem_2923.png b/results/train/parabola/problem_2923.png
new file mode 100644
index 0000000000000000000000000000000000000000..a86cf893dd9f0cf026a04c0a5a0ed7a2befd4b8b
--- /dev/null
+++ b/results/train/parabola/problem_2923.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb828606b030871df833f9275881869d3bab6bff2aa50e2ac1d5ae36346212c9
+size 189717
diff --git a/results/train/parabola/problem_2924.png b/results/train/parabola/problem_2924.png
new file mode 100644
index 0000000000000000000000000000000000000000..237de7abfdad563c732b37f5c9d532b59d2ec23b
--- /dev/null
+++ b/results/train/parabola/problem_2924.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3e45233e098b468fdbbe0efbb755eacef4936156f19c988bcb481ecfeaa50dc
+size 178546
diff --git a/results/train/parabola/problem_2928.png b/results/train/parabola/problem_2928.png
new file mode 100644
index 0000000000000000000000000000000000000000..9405cae8ee46a063c8ee5ed654e64826de7558b5
--- /dev/null
+++ b/results/train/parabola/problem_2928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5bc6f1ca2b9300645a6fb7f2035c4a8af4d3a9154bfdac4f69fdd8a422e9e340
+size 185449
diff --git a/results/train/parabola/problem_2930.png b/results/train/parabola/problem_2930.png
new file mode 100644
index 0000000000000000000000000000000000000000..077a4e2f7aed13e5454254d0aa7d8bedf67b43d6
--- /dev/null
+++ b/results/train/parabola/problem_2930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:369714bc9c4fe5434977eade0a15d2617d0173c63f35b3be8c981eb26cc955cc
+size 189444
diff --git a/results/train/parabola/problem_2933.png b/results/train/parabola/problem_2933.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ff9c4a478eb346b292b2690832f0d5111a0211e
--- /dev/null
+++ b/results/train/parabola/problem_2933.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b9d6e3b7e59506b9637d6fa5e5fac1aca91575876bede1fe4b051d160b07feb
+size 201788
diff --git a/results/train/parabola/problem_2934.png b/results/train/parabola/problem_2934.png
new file mode 100644
index 0000000000000000000000000000000000000000..2007baab5c57cc20377ebfe747c4c0e220839493
--- /dev/null
+++ b/results/train/parabola/problem_2934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e42b2656b2f9db9fae30bc5634e84a69f1628a10019d8468c2cd2c0dfd776f5f
+size 184502
diff --git a/results/train/parabola/problem_2936.png b/results/train/parabola/problem_2936.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc61b5342f44c8e41817f4152bf079f5fc1013c7
--- /dev/null
+++ b/results/train/parabola/problem_2936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d101c5b9ffe5fa1143f764228a4cbd627a0a90a25a2ac4c5c2a03b0067a5428e
+size 190128
diff --git a/results/train/parabola/problem_2948.png b/results/train/parabola/problem_2948.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ab7c8d901d77c878930505d9d24a369cb68e828
--- /dev/null
+++ b/results/train/parabola/problem_2948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3df4ad93b788293e3f3bb6d32c5768d0b4316a87e8ff75173fd75123b410417
+size 178153
diff --git a/results/train/parabola/problem_2949.png b/results/train/parabola/problem_2949.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ccf424454617e758f994eff676130f2a38a1b13
--- /dev/null
+++ b/results/train/parabola/problem_2949.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e641bc46c7a0265e258a02904849cee5756eeecc639d1d28c03464612bbf5d5d
+size 188526
diff --git a/results/train/parabola/problem_2951.png b/results/train/parabola/problem_2951.png
new file mode 100644
index 0000000000000000000000000000000000000000..da5f3ed4d7a395cab4a5c4670b0340743dd89c72
--- /dev/null
+++ b/results/train/parabola/problem_2951.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9ee7137602db365cd0ef2b75e743e7d22578b36296895b29f06f3ef94272ecb
+size 188644
diff --git a/results/train/parabola/problem_2955.png b/results/train/parabola/problem_2955.png
new file mode 100644
index 0000000000000000000000000000000000000000..97eb946f86940f5112b164a83d5930650297ff59
--- /dev/null
+++ b/results/train/parabola/problem_2955.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04f688f365c68766d230f59cf2b3c16ef77eb6b3c850444fbc1ae27262af82b0
+size 201614
diff --git a/results/train/parabola/problem_2957.png b/results/train/parabola/problem_2957.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ddb8b11a54ad10f4f614bd8bd16bb367f087035
--- /dev/null
+++ b/results/train/parabola/problem_2957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff0f20af751539aac24f5e264bd437642e5026996e476946e61363e51c4a217a
+size 184698
diff --git a/results/train/parabola/problem_2958.png b/results/train/parabola/problem_2958.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2691528008c4659c4b4b63c680059dea023a962
--- /dev/null
+++ b/results/train/parabola/problem_2958.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8161f3c7438854666e70d31fb81f17c7ba758c2decdae1bcde06bbad0f0a204
+size 164154
diff --git a/results/train/parabola/problem_2961.png b/results/train/parabola/problem_2961.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b6505a92c63338adfab3266d55c3c29325ff0a5
--- /dev/null
+++ b/results/train/parabola/problem_2961.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bf6dadebc9df0ecf7777ff41831a81522aea2799a5168d865afca61b73fc89f
+size 197597
diff --git a/results/train/parabola/problem_2971.png b/results/train/parabola/problem_2971.png
new file mode 100644
index 0000000000000000000000000000000000000000..e37d69e46d386e0a3ad377490d2610f529cd008b
--- /dev/null
+++ b/results/train/parabola/problem_2971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:256cefd222defcfd5b9af32ff5221089418dd39c9bbe85bcc7ce5a66444b1f2c
+size 151988
diff --git a/results/train/parabola/problem_2972.png b/results/train/parabola/problem_2972.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc949502392793720831642df6c432c9b0071c2e
--- /dev/null
+++ b/results/train/parabola/problem_2972.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afcdea002e6b8ac62d0df4008032611f4514fffac5200379d320c5fcb7b25972
+size 187565
diff --git a/results/train/parabola/problem_2977.png b/results/train/parabola/problem_2977.png
new file mode 100644
index 0000000000000000000000000000000000000000..368b3a7edda25ea178595130082539053cdf5ca8
--- /dev/null
+++ b/results/train/parabola/problem_2977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22fb8037360ea43584abf6aa6ce852366445ee2afae33d2e7cc6c741fb45ffea
+size 191789
diff --git a/results/train/parabola/problem_2983.png b/results/train/parabola/problem_2983.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4ec5cf0178622a4428871783b0db4f62deff167
--- /dev/null
+++ b/results/train/parabola/problem_2983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b061636fcb584047ef940eb4cea897f3e68938f780dcff2e7dde4601e3b4bc6
+size 190066
diff --git a/results/train/parabola/problem_2992.png b/results/train/parabola/problem_2992.png
new file mode 100644
index 0000000000000000000000000000000000000000..33167ebe0b9f136f864ee18f6431807abbf9b39a
--- /dev/null
+++ b/results/train/parabola/problem_2992.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a68c7be4d91e52147c01b6b9e15a12cfba042917a888a5b24e3bbc1c6b9b7d5f
+size 182950
diff --git a/results/train/parabola/problem_2994.png b/results/train/parabola/problem_2994.png
new file mode 100644
index 0000000000000000000000000000000000000000..cea13ee2c12b4e83d28364eb9bcb83234bcad99c
--- /dev/null
+++ b/results/train/parabola/problem_2994.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70955ce77a52384591d3677b2026c46dd55aa4e0ae580a318cc87741f1ebc624
+size 184972
diff --git a/results/train/parabola/problem_2997.png b/results/train/parabola/problem_2997.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2b1db368ac40e6de8da05c42ca2c98eefc95108
--- /dev/null
+++ b/results/train/parabola/problem_2997.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:565caba18e610c0c19e8936033e51206e3775432a2c950dc932acb51e75c8a28
+size 193254
diff --git a/results/train/parabola/problem_3002.png b/results/train/parabola/problem_3002.png
new file mode 100644
index 0000000000000000000000000000000000000000..23861d298b22722ab72f4ade21a0fb146067ba46
--- /dev/null
+++ b/results/train/parabola/problem_3002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8f6c4ec88bc907236a10b78f3afacbffd2a351b99e01748e121be6ed3c3a7da
+size 200546
diff --git a/results/train/parabola/problem_3003.png b/results/train/parabola/problem_3003.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d4ba641246440b0b286737b6c458b1bd9f93418
--- /dev/null
+++ b/results/train/parabola/problem_3003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d357002db36e3c0405e30a3d42c98380ef9b31c1ecbed141f341c64b63611b3b
+size 200038
diff --git a/results/train/parabola/problem_3012.png b/results/train/parabola/problem_3012.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a6c3e8aa965c35752c9a0d23a788fc9e9d7013a
--- /dev/null
+++ b/results/train/parabola/problem_3012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9f144214452a0fdcacff264864104709cae9fca1cf40da2473cbb6b96d01019
+size 193834
diff --git a/results/train/parabola/problem_3017.png b/results/train/parabola/problem_3017.png
new file mode 100644
index 0000000000000000000000000000000000000000..f06d3e97936bd4eb5c56659750a7b7848683d0c5
--- /dev/null
+++ b/results/train/parabola/problem_3017.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1235304793d209171a4d225bd81da2d337ddb36e564a39513005b8cec60bf84e
+size 195699
diff --git a/results/train/parabola/problem_3018.png b/results/train/parabola/problem_3018.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7b2ea74df9aa2f73c0b161293b5db83595f47cf
--- /dev/null
+++ b/results/train/parabola/problem_3018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19b0838e838430c1b5b2b88ed24d2f707eb56d36db42f1932bdcc7531ff846d3
+size 184708
diff --git a/results/train/parabola/problem_3019.png b/results/train/parabola/problem_3019.png
new file mode 100644
index 0000000000000000000000000000000000000000..619e9043ab515ce6e077ac532c85014d9c7a8c55
--- /dev/null
+++ b/results/train/parabola/problem_3019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:62be957ac3187671bf148f947e5a91f4adca468e9a9c8673ca8c094da1ffa78a
+size 192205
diff --git a/results/train/parabola/problem_3023.png b/results/train/parabola/problem_3023.png
new file mode 100644
index 0000000000000000000000000000000000000000..02535b661ae4b4419f58961bedfa9f3bfa02babd
--- /dev/null
+++ b/results/train/parabola/problem_3023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75974cbfbfe40439ee7eea4e13dacb91d6e2a0dabee7c607dfb4538ceb1a1820
+size 202724
diff --git a/results/train/parabola/problem_3027.png b/results/train/parabola/problem_3027.png
new file mode 100644
index 0000000000000000000000000000000000000000..cda4046da35f3933dbe18c7304bbca164d476710
--- /dev/null
+++ b/results/train/parabola/problem_3027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9627d0fd25f545c63ab50692feb177eb42e50670290eef1c85f853c961f2523
+size 191522
diff --git a/results/train/parabola/problem_3031.png b/results/train/parabola/problem_3031.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b2c5497a7b7d8efa49376f48acd9c5a64310397
--- /dev/null
+++ b/results/train/parabola/problem_3031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4535756acf341bac1398a6abcafc2b36f86e4316f998bc3290f982daafae5630
+size 215945
diff --git a/results/train/parabola/problem_3034.png b/results/train/parabola/problem_3034.png
new file mode 100644
index 0000000000000000000000000000000000000000..11c57966c0a2f590074069fd95eff66c3f8f5681
--- /dev/null
+++ b/results/train/parabola/problem_3034.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9b30657d1d74c7ab6516c9fb2c220cf21afc93eb8b1eac0df6c84b8d6ecd712
+size 189655
diff --git a/results/train/parabola/problem_3040.png b/results/train/parabola/problem_3040.png
new file mode 100644
index 0000000000000000000000000000000000000000..83b88466f6f438fc330dc13582f36d160f6d156e
--- /dev/null
+++ b/results/train/parabola/problem_3040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19c9625db81aac953c17ba541414bda4b84f9baa0c7d1195d8c8f541997b73b0
+size 191285
diff --git a/results/train/parabola/problem_3041.png b/results/train/parabola/problem_3041.png
new file mode 100644
index 0000000000000000000000000000000000000000..563856e204cc72ae3f4859a52e9865ca8c32701d
--- /dev/null
+++ b/results/train/parabola/problem_3041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b76397c18fe918973b02281f618ab8cdd59f5ee65582519b3d354b7bcfb10e48
+size 204431
diff --git a/results/train/parabola/problem_3043.png b/results/train/parabola/problem_3043.png
new file mode 100644
index 0000000000000000000000000000000000000000..1273e7d696f9ae7fcb3b83e8213fbfcc41953090
--- /dev/null
+++ b/results/train/parabola/problem_3043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1679b0227c7d86b170e60ba96a522a75f565b095d448ccdb06c125b8109adaae
+size 186318
diff --git a/results/train/parabola/problem_3044.png b/results/train/parabola/problem_3044.png
new file mode 100644
index 0000000000000000000000000000000000000000..adeb0b5002189b2bcdbd630dbbbb75dc77487583
--- /dev/null
+++ b/results/train/parabola/problem_3044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0497612f644ae6d0b30feaa5a434bf4ef5c1ceaa5f4143d19978bd86e4e5bc1c
+size 203886
diff --git a/results/train/parabola/problem_3056.png b/results/train/parabola/problem_3056.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ca004f61df74582b876b59cc9a5c104d4929226
--- /dev/null
+++ b/results/train/parabola/problem_3056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bf23d3b22a176ade750c7e089a41cb860f8a1d9f3fb292357d56e27c5f2a908
+size 193066
diff --git a/results/train/parabola/problem_3057.png b/results/train/parabola/problem_3057.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2581820ab14d7af4feaf02b5e55b3454fea53a9
--- /dev/null
+++ b/results/train/parabola/problem_3057.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a22f4c8788e2d9595441e0eb6fad018bf87fcccabfe82b6cfef4c7aaccf8cfec
+size 181837
diff --git a/results/train/parabola/problem_3062.png b/results/train/parabola/problem_3062.png
new file mode 100644
index 0000000000000000000000000000000000000000..12625360fa7950b17fea5116419b6864541b3189
--- /dev/null
+++ b/results/train/parabola/problem_3062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:087b368b107e38caefd1d3240b62702749607caa2f11f2aca2c2a9e62c325de5
+size 182506
diff --git a/results/train/parabola/problem_3064.png b/results/train/parabola/problem_3064.png
new file mode 100644
index 0000000000000000000000000000000000000000..eea9a5b14e7828bd674934adf1d0b904d5fd2302
--- /dev/null
+++ b/results/train/parabola/problem_3064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b80d124fed9de4738a1b5c2bfbb94c897daad7106e73c8c0de28042cda0cb56e
+size 186860
diff --git a/results/train/parabola/problem_3065.png b/results/train/parabola/problem_3065.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f5c63378d8725f548f945c5b86c2298648e17da
--- /dev/null
+++ b/results/train/parabola/problem_3065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f3815ea5263b8420aac1e3e156cbf8fa8c83b3dec08b8629e0c6b6351aef661f
+size 197716
diff --git a/results/train/parabola/problem_3066.png b/results/train/parabola/problem_3066.png
new file mode 100644
index 0000000000000000000000000000000000000000..1985a960caf2f91231b8130d0a97b1f4981ecb8a
--- /dev/null
+++ b/results/train/parabola/problem_3066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6212e5d02f18b2f84640a7d63019212fea0704ff2e63192dfd4435ce471f88a3
+size 191439
diff --git a/results/train/parabola/problem_3071.png b/results/train/parabola/problem_3071.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a681532357645b60d0e7f06092eb8f84d5b697d
--- /dev/null
+++ b/results/train/parabola/problem_3071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:83066e57fb0781d5e2c7758b42384253216e143d366fd44c5d58ba4664a932b7
+size 179980
diff --git a/results/train/parabola/problem_3073.png b/results/train/parabola/problem_3073.png
new file mode 100644
index 0000000000000000000000000000000000000000..709275273fdb8dfd53f9ef803453c946ecf683fa
--- /dev/null
+++ b/results/train/parabola/problem_3073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1da2c4486ba989234b770778206b16bc9ea70a0242b8375e5478f0b1ab9da6c8
+size 164108
diff --git a/results/train/parabola/problem_3076.png b/results/train/parabola/problem_3076.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c696024724ec8d14c1d540d8aa778dc0b422c65
--- /dev/null
+++ b/results/train/parabola/problem_3076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e3d552c3801444607485b2aaf7e5946c890b9a4ac1e1a1045b834bd3975f8d34
+size 176697
diff --git a/results/train/parabola/problem_3080.png b/results/train/parabola/problem_3080.png
new file mode 100644
index 0000000000000000000000000000000000000000..02dd0a8bb42d1dcd5189e9a103236244dcf3abb9
--- /dev/null
+++ b/results/train/parabola/problem_3080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0f8982724198707e58970b29741d3abec1ee60636770ff04966b0f4e46df23c
+size 200114
diff --git a/results/train/parabola/problem_3084.png b/results/train/parabola/problem_3084.png
new file mode 100644
index 0000000000000000000000000000000000000000..8678a0f0b8982c4a1e6a56dec2454bee98ab2091
--- /dev/null
+++ b/results/train/parabola/problem_3084.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85df62054d47727212ed3d08aeb1d91d650dcdcf736e525f0a09e426b50c8b1e
+size 189280
diff --git a/results/train/parabola/problem_3088.png b/results/train/parabola/problem_3088.png
new file mode 100644
index 0000000000000000000000000000000000000000..398d1b17e92c6a31a7e68f77454bad3ef1eae8ef
--- /dev/null
+++ b/results/train/parabola/problem_3088.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03ca8fc022744d721df17193534cf4e1266fe18c046bcf5a11f7bbe61ed179b8
+size 188964
diff --git a/results/train/parabola/problem_3089.png b/results/train/parabola/problem_3089.png
new file mode 100644
index 0000000000000000000000000000000000000000..63491f1e79496542e15f0e37b7cd5a2b96374b44
--- /dev/null
+++ b/results/train/parabola/problem_3089.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:84d9b2bfe86930c93790d4aadc2535351d1153a9fafc47917ffc347ea7ad07ba
+size 191246
diff --git a/results/train/parabola/problem_3096.png b/results/train/parabola/problem_3096.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf0235690b1f62769c5ac49f77bb203ca7b817c9
--- /dev/null
+++ b/results/train/parabola/problem_3096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b68569c6910c445d820428985674615f30f43fe45ec691ee8952a80457813a25
+size 193074
diff --git a/results/train/parabola/problem_3097.png b/results/train/parabola/problem_3097.png
new file mode 100644
index 0000000000000000000000000000000000000000..677eb666de909ccb28b2796985a087fed9141aec
--- /dev/null
+++ b/results/train/parabola/problem_3097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:37a012c424c4d4acac7d53cb96aba756b820994d2eb6ebbdbd844ed2904a2ef0
+size 192047
diff --git a/results/train/parabola/problem_3100.png b/results/train/parabola/problem_3100.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ae8f4b9fde7f8c6fc731c827a57bb3f417a6df5
--- /dev/null
+++ b/results/train/parabola/problem_3100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c649a00f7092d447683a7436f73f918640e4c71999be60a0b67f21fb45d9261
+size 184631
diff --git a/results/train/parabola/problem_3102.png b/results/train/parabola/problem_3102.png
new file mode 100644
index 0000000000000000000000000000000000000000..46495ce076415fdacb158f2c3f51229338c3380c
--- /dev/null
+++ b/results/train/parabola/problem_3102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2015799aa441bd329524d80cf1d4d442fe5bc388d5cb91b31f4ea5c0b3ff250f
+size 194468
diff --git a/results/train/parabola/problem_3106.png b/results/train/parabola/problem_3106.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb9f6eaf54e59088bab5e7dd0140e70e09bda815
--- /dev/null
+++ b/results/train/parabola/problem_3106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:581d049cbad51d3c83b3b87e96bd0cdadc7318353953320cde7ec5fec4a94217
+size 195688
diff --git a/results/train/parabola/problem_3109.png b/results/train/parabola/problem_3109.png
new file mode 100644
index 0000000000000000000000000000000000000000..627953fe8059ce2938af94f274d5abbd2ab6f8ea
--- /dev/null
+++ b/results/train/parabola/problem_3109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75cf709fac26eb2543786206e2a11711464534c7830b2a0f63f71505913f2426
+size 186817
diff --git a/results/train/parabola/problem_3111.png b/results/train/parabola/problem_3111.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd063e1b1e35b904b5fff5f11291f892e0a17aeb
--- /dev/null
+++ b/results/train/parabola/problem_3111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e9a655a29ed757cac2c3b34d9bd00552d131a7d748ab87414ed971cf779d6b2
+size 182594
diff --git a/results/train/parabola/problem_3117.png b/results/train/parabola/problem_3117.png
new file mode 100644
index 0000000000000000000000000000000000000000..d99b079afc32254ed476d0928bed82cd7929ed0e
--- /dev/null
+++ b/results/train/parabola/problem_3117.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2e58d4871f5d90ab0d17d440fbf0b77ccae47ae4f7625b928cc4929aa271669
+size 193744
diff --git a/results/train/parabola/problem_3127.png b/results/train/parabola/problem_3127.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e323a5b1a9c25b6bf7991f1e994e403ae2e3016
--- /dev/null
+++ b/results/train/parabola/problem_3127.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa810620e80491f0968c72530723a0824ef5c1a52c14f9852c82c2771f2b5d75
+size 190963
diff --git a/results/train/parabola/problem_3128.png b/results/train/parabola/problem_3128.png
new file mode 100644
index 0000000000000000000000000000000000000000..feee75c4b190afb9aa904a649c7f888c9dc5de5f
--- /dev/null
+++ b/results/train/parabola/problem_3128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce08ba97f9a2241ef2e2bbadcfc27ceab67ab36be4cd434f87c15451421036f1
+size 196277
diff --git a/results/train/parabola/problem_3129.png b/results/train/parabola/problem_3129.png
new file mode 100644
index 0000000000000000000000000000000000000000..8316b876439292233e1f27baa192e096ee5dd1be
--- /dev/null
+++ b/results/train/parabola/problem_3129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8147749d18c762ffff9130741e04d01dee26f4a00fea219de6f225532f3796b
+size 176249
diff --git a/results/train/parabola/problem_3133.png b/results/train/parabola/problem_3133.png
new file mode 100644
index 0000000000000000000000000000000000000000..d95360676b6790e00c0cdfe49d08fe41daee5387
--- /dev/null
+++ b/results/train/parabola/problem_3133.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe5bd6206e4d75991cbaf8ac9a5adaf7e56035808e8e0fcce4b423b1765f5506
+size 182882
diff --git a/results/train/parabola/problem_3135.png b/results/train/parabola/problem_3135.png
new file mode 100644
index 0000000000000000000000000000000000000000..df1970445325cdbd072cbb810ede6b91127256a0
--- /dev/null
+++ b/results/train/parabola/problem_3135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0779643959ee72d6ae4d25723d5def450a2a145625ed90d0f3bf47f4be5762f
+size 207910
diff --git a/results/train/parabola/problem_3140.png b/results/train/parabola/problem_3140.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e620c63021619825325734620752a3e8a66c6c3
--- /dev/null
+++ b/results/train/parabola/problem_3140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba5b659bf02fce8e7b55e109f7943c99b857bd7b944d105b09d409fee01ed46f
+size 192135
diff --git a/results/train/parabola/problem_3143.png b/results/train/parabola/problem_3143.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d19a9ed3857ec7406809d334ac7782860791f7e
--- /dev/null
+++ b/results/train/parabola/problem_3143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8202a2a5a7b3c19f4525c31f80832b7bc7ba28835e655ac85a6177eb4c224af7
+size 188994
diff --git a/results/train/parabola/problem_3145.png b/results/train/parabola/problem_3145.png
new file mode 100644
index 0000000000000000000000000000000000000000..5df13f23a29e9100c86f2be7c92aaf65bb04503c
--- /dev/null
+++ b/results/train/parabola/problem_3145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:500730ca7d7f0d3b68f9cb3f8b4a7c2656470a6f35129d6dfcca98ec66a2edd6
+size 165605
diff --git a/results/train/parabola/problem_3152.png b/results/train/parabola/problem_3152.png
new file mode 100644
index 0000000000000000000000000000000000000000..35534f80dec55f4f399ab873dbedbcce365211f8
--- /dev/null
+++ b/results/train/parabola/problem_3152.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:656e13a41d28f96c150dca70ca0b82403b62f1f4406556ef0c0043d569882039
+size 186704
diff --git a/results/train/parabola/problem_3157.png b/results/train/parabola/problem_3157.png
new file mode 100644
index 0000000000000000000000000000000000000000..03828945b5a5fa6af44453785ddb0dd64e628e23
--- /dev/null
+++ b/results/train/parabola/problem_3157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03a316fbf6693a2f8c02c49c7608ecf0896749a5d6404af1013ba91a6c5dd998
+size 192727
diff --git a/results/train/parabola/problem_3162.png b/results/train/parabola/problem_3162.png
new file mode 100644
index 0000000000000000000000000000000000000000..55eb87e659381925385315c636a55ff3c830473e
--- /dev/null
+++ b/results/train/parabola/problem_3162.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce85572b84b3b8c4ea4940390e7d6af2d2f86328db27733a3953d833a270ce08
+size 204363
diff --git a/results/train/parabola/problem_3163.png b/results/train/parabola/problem_3163.png
new file mode 100644
index 0000000000000000000000000000000000000000..d302ed6e6ee69a084277b95fda89e67650486abd
--- /dev/null
+++ b/results/train/parabola/problem_3163.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc82be5a128f2118e0693e38d2ee176632844ae38b9daa2e196062dd1c9a626c
+size 185239
diff --git a/results/train/parabola/problem_3168.png b/results/train/parabola/problem_3168.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5080d9f0525a97d962850cf2d477015129a05cc
--- /dev/null
+++ b/results/train/parabola/problem_3168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96ed4325dc0fc51cb49bb3b551e1f8be6bfa8a0f368e296197e54bb69183d610
+size 205401
diff --git a/results/train/parabola/problem_3180.png b/results/train/parabola/problem_3180.png
new file mode 100644
index 0000000000000000000000000000000000000000..820ef6cfaa85deb68cf00571287c67f8ab005f4e
--- /dev/null
+++ b/results/train/parabola/problem_3180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed421f461972ce46691e3e2a9d773ee8ddf604ca68fd32fd025dd3aca929c4e5
+size 187800
diff --git a/results/train/parabola/problem_3184.png b/results/train/parabola/problem_3184.png
new file mode 100644
index 0000000000000000000000000000000000000000..7553511b20e6ba61ec86fa8fab66396ee90b7e3f
--- /dev/null
+++ b/results/train/parabola/problem_3184.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22476d65753e469bb9ac084f072b945f9216ffb1f32de798fc912fea5c80f583
+size 203467
diff --git a/results/train/parabola/problem_3188.png b/results/train/parabola/problem_3188.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1f4a61564d309d65af3c97b30d93f496371f119
--- /dev/null
+++ b/results/train/parabola/problem_3188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0811b860ae7dd6ffbe7a8f24c827f0661f7677e895104cd46b62882a734e414e
+size 183999
diff --git a/results/train/parabola/problem_3204.png b/results/train/parabola/problem_3204.png
new file mode 100644
index 0000000000000000000000000000000000000000..3c5009b1a2d9cbf06e5996d8f4e1b229105448e5
--- /dev/null
+++ b/results/train/parabola/problem_3204.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:910d8a7f1b72fa60b3b4636b08e0043bf55ad861597674378238434d94ed82b9
+size 191854
diff --git a/results/train/parabola/problem_3205.png b/results/train/parabola/problem_3205.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a47e1ccb4c3bf58ccbd6be0f3ee30e037b9751c
--- /dev/null
+++ b/results/train/parabola/problem_3205.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2eec3baec8455579fb30b2ffab8cee048c44e6c1054b8ddd5a5a99b003867bf
+size 186956
diff --git a/results/train/parabola/problem_3206.png b/results/train/parabola/problem_3206.png
new file mode 100644
index 0000000000000000000000000000000000000000..098e4f33c54addb200eda454168bfbcc03fca715
--- /dev/null
+++ b/results/train/parabola/problem_3206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73f9826a6d203a27a99c696a3dfc1d8daae397cc16c7bad5d75cc2556674c9b0
+size 180009
diff --git a/results/train/parabola/problem_3217.png b/results/train/parabola/problem_3217.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd1c155cf7700a8e7264ad7f36fa19cb813aca07
--- /dev/null
+++ b/results/train/parabola/problem_3217.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ff2898c6c2320df24c15de5286fce69039dae595639c9399f027acd7997d9e3
+size 169743
diff --git a/results/train/parabola/problem_3221.png b/results/train/parabola/problem_3221.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d1a0384efdd39cb1fa6fbb13f1bb313ce381eaf
--- /dev/null
+++ b/results/train/parabola/problem_3221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c1b3486122bde914ca746af6aca81d954e5cff91b765e62004463f753ed43c5
+size 206811
diff --git a/results/train/parabola/problem_3223.png b/results/train/parabola/problem_3223.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e3101f39e0b2dd238870316ca89613ddc34beba
--- /dev/null
+++ b/results/train/parabola/problem_3223.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:613e17ad1ac6a86d91ac657ed7a6d2a8294d978b9452bf0fad790acc76088f9f
+size 183265
diff --git a/results/train/parabola/problem_3227.png b/results/train/parabola/problem_3227.png
new file mode 100644
index 0000000000000000000000000000000000000000..d31d730ee1c53c69058f659a2425604bd810a9e2
--- /dev/null
+++ b/results/train/parabola/problem_3227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c6c64080d715632cc665ffce72ef94ba608faf185e171ac1a66ebd60a813f19
+size 174114
diff --git a/results/train/parabola/problem_3228.png b/results/train/parabola/problem_3228.png
new file mode 100644
index 0000000000000000000000000000000000000000..278946e8eb85fe6b2d4afa57b3fd9e2eab186b91
--- /dev/null
+++ b/results/train/parabola/problem_3228.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c4dec9ded65c1dc6d925340b8518e8955287187b188ca1163c374c2558b82d7
+size 193668
diff --git a/results/train/parabola/problem_3231.png b/results/train/parabola/problem_3231.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fd81d0f3cb47f2571d7d86e11eb842435d29413
--- /dev/null
+++ b/results/train/parabola/problem_3231.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c4b0cd1d4a8c650600625cac24d7d0d340b33d42ff2d3e38c16b6da6d4f37c03
+size 187036
diff --git a/results/train/parabola/problem_3242.png b/results/train/parabola/problem_3242.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a8e0512caa14b94197631c3350a4409d288dafa
--- /dev/null
+++ b/results/train/parabola/problem_3242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38b9e7c43e1f3b39d9f6ff8a0bad91b3079d256487175c422acbf4e3cc880b81
+size 192770
diff --git a/results/train/parabola/problem_3250.png b/results/train/parabola/problem_3250.png
new file mode 100644
index 0000000000000000000000000000000000000000..cc88d47ab59efa58e950cccf1b55d5294cbcd685
--- /dev/null
+++ b/results/train/parabola/problem_3250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6a9f692e3f3d44ac75be98d8138222fa9cec189d03643a84a64cb02c818a115
+size 189651
diff --git a/results/train/parabola/problem_3256.png b/results/train/parabola/problem_3256.png
new file mode 100644
index 0000000000000000000000000000000000000000..830193db56f0a33f1a7c06e95594cb335317eae1
--- /dev/null
+++ b/results/train/parabola/problem_3256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:780ff5aea823d37cefda53ed1b8e4c56fa15a8ec1e96a99e382dce27c563c1d7
+size 195603
diff --git a/results/train/parabola/problem_3257.png b/results/train/parabola/problem_3257.png
new file mode 100644
index 0000000000000000000000000000000000000000..39845c7a0660d5f0765dbbf8083d52465f650a18
--- /dev/null
+++ b/results/train/parabola/problem_3257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f52905400491c38cc12eec9c170532dc2d591347295f26c14ac10e3de5b3712
+size 199209
diff --git a/results/train/parabola/problem_3258.png b/results/train/parabola/problem_3258.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fca7a423073a31a7b4ed7cd949c2ef749411425
--- /dev/null
+++ b/results/train/parabola/problem_3258.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c6510d85c0637d682301ae840e640e07e8c5193712c3382c4ddd5a46a115dad
+size 199334
diff --git a/results/train/parabola/problem_3266.png b/results/train/parabola/problem_3266.png
new file mode 100644
index 0000000000000000000000000000000000000000..0bc674f543d2c1175e9a2c6b2a0f551534c4c426
--- /dev/null
+++ b/results/train/parabola/problem_3266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d0d084fcb84dd0f8db3405f42d88a3e15705fa4538be8abc0eb852e088041c1
+size 180572
diff --git a/results/train/parabola/problem_3268.png b/results/train/parabola/problem_3268.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d5ed1ac277f7db3d23034677e717713330b99d5
--- /dev/null
+++ b/results/train/parabola/problem_3268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3e3bd5775e97b461381d7b8cdfdd8bd81cb28f92efd4ef0efe2e2e618dcb27c
+size 194763
diff --git a/results/train/parabola/problem_3273.png b/results/train/parabola/problem_3273.png
new file mode 100644
index 0000000000000000000000000000000000000000..55deb7b2aba4d87c2b1b77495e665daccdc1935b
--- /dev/null
+++ b/results/train/parabola/problem_3273.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77038eb2a9c554ba949de96b22fcc170d0680f1f2796289d5ee3dafd1ecd7ff4
+size 185390
diff --git a/results/train/parabola/problem_3279.png b/results/train/parabola/problem_3279.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae276f29d4e97ff42f0c26d4712190801b9f324e
--- /dev/null
+++ b/results/train/parabola/problem_3279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3894852f7c820581dd6c918f96a9039e9f0d7c575d00c5efe79e7075d0a16f5
+size 166996
diff --git a/results/train/parabola/problem_3282.png b/results/train/parabola/problem_3282.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a023fb22ff7ddfdb91f2746cd6b5aa3267894d0
--- /dev/null
+++ b/results/train/parabola/problem_3282.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cecb07d626d5b4af83988b4b7e5de9f5b2f67e084f4e8b71f00978c167d8d125
+size 183772
diff --git a/results/train/parabola/problem_3283.png b/results/train/parabola/problem_3283.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2f64105982d67a72bdb28475a9ed86ccfbb5873
--- /dev/null
+++ b/results/train/parabola/problem_3283.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c71c75d5ce56065bf5e28dc4f3a6edd9987a6d404601d72e684c255a2f30fea3
+size 188770
diff --git a/results/train/parabola/problem_3284.png b/results/train/parabola/problem_3284.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe460db62feae5193697078c4c7854c598f16756
--- /dev/null
+++ b/results/train/parabola/problem_3284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4badedb16b901395ba94086f366200a37478343ab07a0c64cf18226a18f7284
+size 199398
diff --git a/results/train/parabola/problem_3285.png b/results/train/parabola/problem_3285.png
new file mode 100644
index 0000000000000000000000000000000000000000..65b627fc14b36d9c1c6e798050e9b6189de82b48
--- /dev/null
+++ b/results/train/parabola/problem_3285.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:602a439b8c3e1132b1686b7e7c8c02f6976c464bbc0d69912dfbae22ee2bd1a4
+size 204635
diff --git a/results/train/parabola/problem_3286.png b/results/train/parabola/problem_3286.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6558da8f27a29c65be82eb7affa779cbb5ade5a
--- /dev/null
+++ b/results/train/parabola/problem_3286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2e09e23022e967a15ebb13477657e56cdd808fcd8062acd7af41bc2152935dc
+size 186934
diff --git a/results/train/parabola/problem_3290.png b/results/train/parabola/problem_3290.png
new file mode 100644
index 0000000000000000000000000000000000000000..a2e65e0dfd0763c53aba80563ce626744898d673
--- /dev/null
+++ b/results/train/parabola/problem_3290.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b8a00a5e7cf8f2e0c826f3d84d4c9a247d53f5f5d8c63a1ef8e446c8093525c
+size 185757
diff --git a/results/train/parabola/problem_3292.png b/results/train/parabola/problem_3292.png
new file mode 100644
index 0000000000000000000000000000000000000000..a395cfdcef46a0af0bc6a1caf9ded623b9a2cb7c
--- /dev/null
+++ b/results/train/parabola/problem_3292.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc01dd3f9b5b52e4755a579a82b255cd47e41de6084b53118a5ae0970e05eb0a
+size 191190
diff --git a/results/train/parabola/problem_3294.png b/results/train/parabola/problem_3294.png
new file mode 100644
index 0000000000000000000000000000000000000000..61eb0c0cb8795030b016694b20e43d20c70dde8e
--- /dev/null
+++ b/results/train/parabola/problem_3294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22487cf33408c4b62b0b03c9691c93a12688d513844fb5a036f9d2ce640cd1ce
+size 186321
diff --git a/results/train/parabola/problem_3302.png b/results/train/parabola/problem_3302.png
new file mode 100644
index 0000000000000000000000000000000000000000..bc54ace0fb585b8a552133e9133a1b4c3342bf85
--- /dev/null
+++ b/results/train/parabola/problem_3302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c38166ee3bb30c6e7968b9b84653bdd35d064398bbf8beeaa6c4abdda00256d9
+size 186087
diff --git a/results/train/parabola/problem_3303.png b/results/train/parabola/problem_3303.png
new file mode 100644
index 0000000000000000000000000000000000000000..30652ea052c47e1d7ea002c954e0f7345e849978
--- /dev/null
+++ b/results/train/parabola/problem_3303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4957f5e3e89aabda0eb630168bc59bb322c920dd0781fb55e101eb5fdaeded0
+size 196063
diff --git a/results/train/parabola/problem_3305.png b/results/train/parabola/problem_3305.png
new file mode 100644
index 0000000000000000000000000000000000000000..08267d914a87b0fd9c5684bec47c1945a1b28689
--- /dev/null
+++ b/results/train/parabola/problem_3305.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ea399a431b6cd1cdc72b68b1f8a95788f922880d39685691560d61fdfac1730
+size 186600
diff --git a/results/train/parabola/problem_3309.png b/results/train/parabola/problem_3309.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5a4f534dba88e580c8646f3e211b4812d017028
--- /dev/null
+++ b/results/train/parabola/problem_3309.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:950eec1a6455746a5469678221e811b2440d0b53dd133a6a216b54bf93c7a045
+size 187584
diff --git a/results/train/parabola/problem_3319.png b/results/train/parabola/problem_3319.png
new file mode 100644
index 0000000000000000000000000000000000000000..27b33f97175e228bd030fd058fef35b03e4dc8a4
--- /dev/null
+++ b/results/train/parabola/problem_3319.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b62bdeac1d8b6db76077a8216e1ef1aedc966f07a2fbf71c647753c70c5b1294
+size 182971
diff --git a/results/train/parabola/problem_3327.png b/results/train/parabola/problem_3327.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeee5c2454a55ac60234e2fe5354ba94a942f1d3
--- /dev/null
+++ b/results/train/parabola/problem_3327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:539ce05fc174a7a2e4d69d31fcd40865828f40b73f8201cb30f5119a953c2125
+size 199676
diff --git a/results/train/parabola/problem_3330.png b/results/train/parabola/problem_3330.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad7ba07cd3bb370c28f8c1667817595f70dc662c
--- /dev/null
+++ b/results/train/parabola/problem_3330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce590fa935896d2241c0df6029eb4e0d15a0ef14c70d4fa17e5a3285d9f0ee2b
+size 193043
diff --git a/results/train/parabola/problem_3331.png b/results/train/parabola/problem_3331.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfd487bb1a5a765ee3e5259f7d18ca633a87f5c2
--- /dev/null
+++ b/results/train/parabola/problem_3331.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c220ee22bc9347199a017992dc719fdf33b5c216a9c48a8be434e14755933cc1
+size 198469
diff --git a/results/train/parabola/problem_3332.png b/results/train/parabola/problem_3332.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffd990f7f5d6f3a1187289be669a009bd4256a38
--- /dev/null
+++ b/results/train/parabola/problem_3332.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c46c26f638e1353ed4ccac737a26b0dffc1ec6eab31d86572f8eb694c9b8c21
+size 190065
diff --git a/results/train/parabola/problem_3333.png b/results/train/parabola/problem_3333.png
new file mode 100644
index 0000000000000000000000000000000000000000..8261eed920bceed5baa0515a0af63f1425414f35
--- /dev/null
+++ b/results/train/parabola/problem_3333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5696ef33f258addda34478192363481d6e46624b6e2fbd81926a85cc642484ab
+size 160932
diff --git a/results/train/parabola/problem_3335.png b/results/train/parabola/problem_3335.png
new file mode 100644
index 0000000000000000000000000000000000000000..8642e4fb281f05d9f51f1d6d28fd353e8a67069b
--- /dev/null
+++ b/results/train/parabola/problem_3335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf2a61aa0b6629d3d983f2d7a585818705b3a2113e35b2842a88c6a64bccfb8e
+size 195902
diff --git a/results/train/parabola/problem_3337.png b/results/train/parabola/problem_3337.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac0c4729acc15abfe203455e3737ad8500385f77
--- /dev/null
+++ b/results/train/parabola/problem_3337.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30b12a62aa989ab2fe7663d74bd03801c848e2d1b6181a60737871fbd1da9bd6
+size 202165
diff --git a/results/train/parabola/problem_3340.png b/results/train/parabola/problem_3340.png
new file mode 100644
index 0000000000000000000000000000000000000000..33f482c96f1537fdfc0e1df5ef59f8cb51ee0d70
--- /dev/null
+++ b/results/train/parabola/problem_3340.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:756ab6c9449e11f0a012a479f9d0712d6cbe8330ae1317aee94569a6c00796f6
+size 186074
diff --git a/results/train/parabola/problem_3343.png b/results/train/parabola/problem_3343.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fa17a93e4a63006bc225c012ff5541ae7549505
--- /dev/null
+++ b/results/train/parabola/problem_3343.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45ebd8183e662c0fecffed9b544fa61cc71862cba5a73737ce5ebeb34c167afa
+size 184493
diff --git a/results/train/parabola/problem_3344.png b/results/train/parabola/problem_3344.png
new file mode 100644
index 0000000000000000000000000000000000000000..74e444cd529f96d3f665d67c786d43c04e186953
--- /dev/null
+++ b/results/train/parabola/problem_3344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ebd2f31b924f7bfa139488c6b326efea3dc56aa4412d1ee01ac33b472798e69
+size 185154
diff --git a/results/train/parabola/problem_3345.png b/results/train/parabola/problem_3345.png
new file mode 100644
index 0000000000000000000000000000000000000000..876cc681cc3df8f50450a166b4c2de5f67b08b4b
--- /dev/null
+++ b/results/train/parabola/problem_3345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85a3d9ccfa22fab6939ffe6df89d11f6797143f86da08c1748c83badcad91651
+size 189530
diff --git a/results/train/parabola/problem_3350.png b/results/train/parabola/problem_3350.png
new file mode 100644
index 0000000000000000000000000000000000000000..a28eac7b3b3fd2a8f27a0fc6fcd7008c89798eeb
--- /dev/null
+++ b/results/train/parabola/problem_3350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d08b244c366d8e9b6328d141d17d84e4d99ba35e8e360234d644d8d0a11992d
+size 189380
diff --git a/results/train/parabola/problem_3363.png b/results/train/parabola/problem_3363.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe3c6a9ac4583420e48c6bf6dacf4ca1e4e8fcdd
--- /dev/null
+++ b/results/train/parabola/problem_3363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04974d829f4298d57b07eb6c0c5fc79bc57ae4c86977b81eda5e03c769cd320b
+size 188323
diff --git a/results/train/parabola/problem_3364.png b/results/train/parabola/problem_3364.png
new file mode 100644
index 0000000000000000000000000000000000000000..568c662205d06831fbafa81117815b960bbe016e
--- /dev/null
+++ b/results/train/parabola/problem_3364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fa8cfa331c7bbef089a719ecfd5180299f509975bed6ec59da510130fed521d
+size 192320
diff --git a/results/train/parabola/problem_3370.png b/results/train/parabola/problem_3370.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ce81a07314a8aa79efa92cfb564296c84fa655a
--- /dev/null
+++ b/results/train/parabola/problem_3370.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c1b5291410ccbb1a732fa3fccbe1af8d27cfabda96ba65ed11c6309f684c2cf
+size 184644
diff --git a/results/train/parabola/problem_3373.png b/results/train/parabola/problem_3373.png
new file mode 100644
index 0000000000000000000000000000000000000000..533a0e15cfa0cc45fe24b6073ae78ce9219c45fc
--- /dev/null
+++ b/results/train/parabola/problem_3373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd2eec9cad5795c1eeafc22f36c5804d3cb7982a18b7e0225b3e220d4e9db793
+size 188231
diff --git a/results/train/parabola/problem_3374.png b/results/train/parabola/problem_3374.png
new file mode 100644
index 0000000000000000000000000000000000000000..8fe76013cf80cab3f51ed7b470b71a401353c7fd
--- /dev/null
+++ b/results/train/parabola/problem_3374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9b1da8fc4e6fc2a8f41477195251a0160eeb0526c43645c1d1110675ce19e406
+size 198026
diff --git a/results/train/parabola/problem_3380.png b/results/train/parabola/problem_3380.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6c804145ad07c463073ad83d172256089c5ae24
--- /dev/null
+++ b/results/train/parabola/problem_3380.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9babc7057b701fcd20e6b71b1dd390ae4e839e2b12f9d2bfc0d413cb2d6213a4
+size 193268
diff --git a/results/train/parabola/problem_3381.png b/results/train/parabola/problem_3381.png
new file mode 100644
index 0000000000000000000000000000000000000000..3964d6c32ef69aada468bd8c793e1c2821727284
--- /dev/null
+++ b/results/train/parabola/problem_3381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:feba0c92368d6c57459606f5d68a61cd09f7b546a64ad5e96bf1a0455a070a97
+size 181329
diff --git a/results/train/parabola/problem_3399.png b/results/train/parabola/problem_3399.png
new file mode 100644
index 0000000000000000000000000000000000000000..772d9b13dc7aeb366c1d82916b306b6157e9093b
--- /dev/null
+++ b/results/train/parabola/problem_3399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:40ce2b92ed6c7b050a450edf1b56c3380139830a9cf59ff27a2b39aa5ccf2735
+size 182063
diff --git a/results/train/parabola/problem_3403.png b/results/train/parabola/problem_3403.png
new file mode 100644
index 0000000000000000000000000000000000000000..f07b4dafbff5b4a79f5f91160d1fcfb946ec6992
--- /dev/null
+++ b/results/train/parabola/problem_3403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa538dc2ae2bfc7fc7f5fdfa0981abd9cb28266cc3b1ea3f87a772ff9cece728
+size 191514
diff --git a/results/train/parabola/problem_3406.png b/results/train/parabola/problem_3406.png
new file mode 100644
index 0000000000000000000000000000000000000000..af2a529915eec131ac9d534f770b62e733771faf
--- /dev/null
+++ b/results/train/parabola/problem_3406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5f2ae218f18c0dc3145982798464c0dd5f4cd5da2e739817cc2f0b0f25c6274
+size 179845
diff --git a/results/train/parabola/problem_3408.png b/results/train/parabola/problem_3408.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fa2de85abd914db33aaf78932cdccb3fae47055
--- /dev/null
+++ b/results/train/parabola/problem_3408.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:180ef7c9e62a44446e6722586852a6b4bcb0980664efeea5de542b7d55a976ed
+size 194433
diff --git a/results/train/parabola/problem_3409.png b/results/train/parabola/problem_3409.png
new file mode 100644
index 0000000000000000000000000000000000000000..73aef6032e2d722b009c1ae2c5cf0e76a81b2ca2
--- /dev/null
+++ b/results/train/parabola/problem_3409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3197cfb256cd308ec9f805cb50c9ff7a850d0e0347a4920941279aa076e0d69
+size 204131
diff --git a/results/train/parabola/problem_3410.png b/results/train/parabola/problem_3410.png
new file mode 100644
index 0000000000000000000000000000000000000000..632d3245305659e659c7fd00f2a94dd6c57ecab5
--- /dev/null
+++ b/results/train/parabola/problem_3410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23eb326fd781a23fbc78d659b708ffcb9f1f2068f1d0cbf83b6561f360b44544
+size 200257
diff --git a/results/train/parabola/problem_3413.png b/results/train/parabola/problem_3413.png
new file mode 100644
index 0000000000000000000000000000000000000000..d162ab884a9c15529c07aa386089b7625fd8fd99
--- /dev/null
+++ b/results/train/parabola/problem_3413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0eec06bd32b52d22bb8058e37cc013e298192ae2e35bdc1cd57f5d72734b9cd0
+size 188108
diff --git a/results/train/parabola/problem_3415.png b/results/train/parabola/problem_3415.png
new file mode 100644
index 0000000000000000000000000000000000000000..9894ca413748a959115997b8131de20a0e1aad80
--- /dev/null
+++ b/results/train/parabola/problem_3415.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da3991d36bf332a6fb55394767156443b56191d980faf4fc266b0ffe9e89fdb2
+size 199666
diff --git a/results/train/parabola/problem_3418.png b/results/train/parabola/problem_3418.png
new file mode 100644
index 0000000000000000000000000000000000000000..15696b85407ec601522d913772114e074ebc00f0
--- /dev/null
+++ b/results/train/parabola/problem_3418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bef6e349bf833650351f37888fa83a745932c439b2b8b8410e8f7d0d8c4d7122
+size 197645
diff --git a/results/train/parabola/problem_3421.png b/results/train/parabola/problem_3421.png
new file mode 100644
index 0000000000000000000000000000000000000000..811f279491808b95eb5b044e1531e80c32e775ef
--- /dev/null
+++ b/results/train/parabola/problem_3421.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95ac0ad124506b7904be2576f03cad00ccd9a43ff41aa85df7e4042718382ec9
+size 205770
diff --git a/results/train/parabola/problem_3422.png b/results/train/parabola/problem_3422.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed2f152a0a2b0e291e0751dca936c8d68cec3c05
--- /dev/null
+++ b/results/train/parabola/problem_3422.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d91d5f975d15e9a069056b57a9533682e5bb6670a1082113aa6abb28b4c7f1ee
+size 203015
diff --git a/results/train/parabola/problem_3431.png b/results/train/parabola/problem_3431.png
new file mode 100644
index 0000000000000000000000000000000000000000..262fa9339b3184606ca28adfde72e42602d5c77c
--- /dev/null
+++ b/results/train/parabola/problem_3431.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:73b4f588203ea078decce0ddc0fe50b72f00647f73cabb1baa1a95272904dd04
+size 200408
diff --git a/results/train/parabola/problem_3433.png b/results/train/parabola/problem_3433.png
new file mode 100644
index 0000000000000000000000000000000000000000..6af40aa5ffc5cd242d74fecf6b0cb90075f0e04c
--- /dev/null
+++ b/results/train/parabola/problem_3433.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:151be1adcbeb3ec6186468039b1561987ec78a7f3f454612b2ae8aa6a03e59df
+size 194373
diff --git a/results/train/parabola/problem_3434.png b/results/train/parabola/problem_3434.png
new file mode 100644
index 0000000000000000000000000000000000000000..1810cbc8ef38aaced34b7faadcef761c2ab3fd84
--- /dev/null
+++ b/results/train/parabola/problem_3434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be1bc28b5f07188d9856da5f86c720783f7a6e7c08b275f8e48f7c53075d89e1
+size 187435
diff --git a/results/train/parabola/problem_3438.png b/results/train/parabola/problem_3438.png
new file mode 100644
index 0000000000000000000000000000000000000000..79a199b4b29cc3ab6a3cd96f514f16b0812c0b53
--- /dev/null
+++ b/results/train/parabola/problem_3438.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3bf72b71d38a7882162cf791859f9b8732cfb4ea43db887c09c628a9c654d62
+size 199005
diff --git a/results/train/parabola/problem_3442.png b/results/train/parabola/problem_3442.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bb6ef9683f172b6e9cca8fc65f3f3d14c1ba766
--- /dev/null
+++ b/results/train/parabola/problem_3442.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cc01b11b37e66a5e8e0e0c41a1dfc3d0c926b60b865f3b5e870e54052e6c60d
+size 177437
diff --git a/results/train/parabola/problem_3443.png b/results/train/parabola/problem_3443.png
new file mode 100644
index 0000000000000000000000000000000000000000..430e025d30f04802fdf390015867cf4bc39a288f
--- /dev/null
+++ b/results/train/parabola/problem_3443.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98f07be32f863cec914d354e9f13da36e7a68f9c84dc3d76ffd6949bfdea4f49
+size 195576
diff --git a/results/train/parabola/problem_3446.png b/results/train/parabola/problem_3446.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2c6bd172880b40de2a80628cafb6af32b6daaa4
--- /dev/null
+++ b/results/train/parabola/problem_3446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fac43bde377b1e30c9ec35dbc181d8837478b1d1705d028d4efd826b5ced399
+size 188992
diff --git a/results/train/parabola/problem_3448.png b/results/train/parabola/problem_3448.png
new file mode 100644
index 0000000000000000000000000000000000000000..451a0504d53717231888ece203b304db693d4d27
--- /dev/null
+++ b/results/train/parabola/problem_3448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6c4b54c4ec028e8e5e3fa81a476cdc876e805cedb4f800f8f1b2ed9defef0fa
+size 197480
diff --git a/results/train/parabola/problem_3461.png b/results/train/parabola/problem_3461.png
new file mode 100644
index 0000000000000000000000000000000000000000..a24d2eef3f8fc425d7a1a7acaae1b65818a395a5
--- /dev/null
+++ b/results/train/parabola/problem_3461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1f86eaf0e55b7039589bfec5ab909261e2a3d376a97c2c8195a9c4ab954565f
+size 189675
diff --git a/results/train/parabola/problem_3463.png b/results/train/parabola/problem_3463.png
new file mode 100644
index 0000000000000000000000000000000000000000..959bf0ac61c0b919c20bcfe155ed2818b71e84cf
--- /dev/null
+++ b/results/train/parabola/problem_3463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8eb3a72e369c780e02364786197bdaa64dbc08344f6bdc4630f4d2e454d4d54
+size 190236
diff --git a/results/train/parabola/problem_3468.png b/results/train/parabola/problem_3468.png
new file mode 100644
index 0000000000000000000000000000000000000000..82f6567df0ec42f818f86e76c4fc9acd279d7584
--- /dev/null
+++ b/results/train/parabola/problem_3468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce2f85364dc690cf688ec2c6ff516dd26a75da092b1d264a66b55065c9d5d72e
+size 196137
diff --git a/results/train/parabola/problem_3471.png b/results/train/parabola/problem_3471.png
new file mode 100644
index 0000000000000000000000000000000000000000..a875f832683cba0bfebf9fd4ea65779824a84572
--- /dev/null
+++ b/results/train/parabola/problem_3471.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:710cd324b86745af3905566a5cba9b07b4439efce15d504af20b7662ccd5287c
+size 186765
diff --git a/results/train/parabola/problem_3473.png b/results/train/parabola/problem_3473.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b1e0ade1721c43f50b0b7f423593dcf50ef4a97
--- /dev/null
+++ b/results/train/parabola/problem_3473.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2328d2c2b43f798f57e4a6938dc719096222a6a902ff270edd767bac7a8ef233
+size 193800
diff --git a/results/train/parabola/problem_3481.png b/results/train/parabola/problem_3481.png
new file mode 100644
index 0000000000000000000000000000000000000000..c00823e395c07d5f32429d77eea22804f850f87d
--- /dev/null
+++ b/results/train/parabola/problem_3481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36648bda614979da7ed1b32b781428e6c220b7887ab788f640eebff34c058bac
+size 193422
diff --git a/results/train/parabola/problem_3490.png b/results/train/parabola/problem_3490.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc454fb6570850fdbff993d0371163593fbb97e4
--- /dev/null
+++ b/results/train/parabola/problem_3490.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50622257fb566ae40370f8fbca6ffd86d893cf57a31d5320871963564bd34ce9
+size 186156
diff --git a/results/train/parabola/problem_3495.png b/results/train/parabola/problem_3495.png
new file mode 100644
index 0000000000000000000000000000000000000000..e368fd4351c0b7bd5a3de8e20f91c858c79fd9c9
--- /dev/null
+++ b/results/train/parabola/problem_3495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1f6750318e7da3a454ab680354253b36cda346d92a8e8a105d25f5c63b6a705
+size 169698
diff --git a/results/train/parabola/problem_3497.png b/results/train/parabola/problem_3497.png
new file mode 100644
index 0000000000000000000000000000000000000000..37c5702b534a3585d447ae70b4dcf259d63d563e
--- /dev/null
+++ b/results/train/parabola/problem_3497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fb287e36d1d61d183f13e40b2b05a3c7bc208c6b5cb1cc941dcc03d0dfcce28
+size 193552
diff --git a/results/train/parabola/problem_3498.png b/results/train/parabola/problem_3498.png
new file mode 100644
index 0000000000000000000000000000000000000000..4180495571938e14b30b6a1fdd8afcc85654fb26
--- /dev/null
+++ b/results/train/parabola/problem_3498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de672cdee83691aa1c87bf73537557fe0eb40605ecd090b859d7387af97aaae2
+size 197983
diff --git a/results/train/parabola/problem_3504.png b/results/train/parabola/problem_3504.png
new file mode 100644
index 0000000000000000000000000000000000000000..b20b9932396886636adc976f4211838dc6ad5b3a
--- /dev/null
+++ b/results/train/parabola/problem_3504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2abe2d5d4c3aca82407e8e7bc9936b80d838c1824ad1f08107d228d439c0ba01
+size 180966
diff --git a/results/train/parabola/problem_3505.png b/results/train/parabola/problem_3505.png
new file mode 100644
index 0000000000000000000000000000000000000000..6987bb11d6a2bcf9f850d2e04b16cdc99614af9f
--- /dev/null
+++ b/results/train/parabola/problem_3505.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:713ab03d7858e0d07b96d9458959ccd3d5b8f6659540daae0e8d737bf76dbaf6
+size 191226
diff --git a/results/train/parabola/problem_3506.png b/results/train/parabola/problem_3506.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3ac8f9fa7ead0524edf10a4ee0245fd384e9cb5
--- /dev/null
+++ b/results/train/parabola/problem_3506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a44cdd122c1568b72c0c7f86f644c586955354d93a50b497de230126be55bcb
+size 176493
diff --git a/results/train/parabola/problem_3509.png b/results/train/parabola/problem_3509.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c360dce5f9c8f4695847e3405bcc25b38024df8
--- /dev/null
+++ b/results/train/parabola/problem_3509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96719ad359426a32a79e867e2f5385308b61fff22f660ca3ed3bfe0e2410ccab
+size 167113
diff --git a/results/train/parabola/problem_3513.png b/results/train/parabola/problem_3513.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cc8f667ddb04f56c1d12ffc53dddb56193160ec
--- /dev/null
+++ b/results/train/parabola/problem_3513.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a12bce90e7b4da7da13193c64b4cee3fba713cd3ca937820a209da746a1a0768
+size 202051
diff --git a/results/train/parabola/problem_3516.png b/results/train/parabola/problem_3516.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdb99e84d691f331971e10f8ada6678474634e6c
--- /dev/null
+++ b/results/train/parabola/problem_3516.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1d132cf43cc12bdaeda62d569449ca62510b206a8d3c2a98612a7ec32a89c4b
+size 185679
diff --git a/results/train/parabola/problem_3517.png b/results/train/parabola/problem_3517.png
new file mode 100644
index 0000000000000000000000000000000000000000..5701aa56a3a6fe4ec4342db94d2da855acf54175
--- /dev/null
+++ b/results/train/parabola/problem_3517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f36c354ce4cc37be37c274f155c9d09c39139bcb432809fb489b6f83ea2fd9d0
+size 185960
diff --git a/results/train/parabola/problem_3520.png b/results/train/parabola/problem_3520.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e01ddae2b38d66870097eb8f1e3be67ce99eda7
--- /dev/null
+++ b/results/train/parabola/problem_3520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:90334dc2b8c500afa328d3f7a14960adb7a9cf68a0001e8f318c23e44aa3d23f
+size 203462
diff --git a/results/train/parabola/problem_3522.png b/results/train/parabola/problem_3522.png
new file mode 100644
index 0000000000000000000000000000000000000000..d6896f5489409b65667710b2ec76bd8183340c7a
--- /dev/null
+++ b/results/train/parabola/problem_3522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e74802b96c8b967788acd44a675c5caaac298748dc872bfd9e5eae98c609537c
+size 183840
diff --git a/results/train/parabola/problem_3526.png b/results/train/parabola/problem_3526.png
new file mode 100644
index 0000000000000000000000000000000000000000..fee00b1f6b319be6571a75fb47b303817b5561df
--- /dev/null
+++ b/results/train/parabola/problem_3526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f6effac16799a0150e0d73700e48a4449d630f74c3e1987b6e4ddd3d4559bee
+size 183048
diff --git a/results/train/parabola/problem_3527.png b/results/train/parabola/problem_3527.png
new file mode 100644
index 0000000000000000000000000000000000000000..8256e25cc588a972fc175e5f72d850e1dd818abf
--- /dev/null
+++ b/results/train/parabola/problem_3527.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:583a1503d3792ce26b650087132ab21e4183ec64370346f36c200879bbd985ac
+size 188110
diff --git a/results/train/parabola/problem_3528.png b/results/train/parabola/problem_3528.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7a67f9b98ee9f63716edae6980c8235ce4cbaf3
--- /dev/null
+++ b/results/train/parabola/problem_3528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ecb9be8e7fe916dbe3b47cdfc879ed0b23d4fe87718f543bd0ddbd443928175f
+size 224249
diff --git a/results/train/parabola/problem_3530.png b/results/train/parabola/problem_3530.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a61a169447daa1266785eb607081ea221023472
--- /dev/null
+++ b/results/train/parabola/problem_3530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6cea27f1b59b1661cb321eea2e731d66cce8fa71e1d80f3dd4ecb359bcd43d89
+size 165173
diff --git a/results/train/parabola/problem_3531.png b/results/train/parabola/problem_3531.png
new file mode 100644
index 0000000000000000000000000000000000000000..12c4c16a2be8305d963ada9acb8d2d7b915a98b5
--- /dev/null
+++ b/results/train/parabola/problem_3531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f795f7da4ee62b8c208bce7f82abbf0dc05a21d51c36206d57339d3d0ff35013
+size 194038
diff --git a/results/train/parabola/problem_3537.png b/results/train/parabola/problem_3537.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b187342de7ed85130cc5111f40f165cfbdad197
--- /dev/null
+++ b/results/train/parabola/problem_3537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69998f79d7a876ecc44857c53fdee1d1271017db9db9696cafe9f4a6d943e68b
+size 197447
diff --git a/results/train/parabola/problem_3539.png b/results/train/parabola/problem_3539.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b30e400e8308569577f0e82ebfbaa8e2123258e
--- /dev/null
+++ b/results/train/parabola/problem_3539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f2d74af8b898d643ba4884da229d16b392ddb5abbad8f7d849670f08118a6b4
+size 188110
diff --git a/results/train/parabola/problem_3540.png b/results/train/parabola/problem_3540.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cf71d7c9980a5233086e29af162db73d3644aa1
--- /dev/null
+++ b/results/train/parabola/problem_3540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:168c8a525004ef0ea9a0b6cc240f4c740fd5c020e78f3045f624e6f7c83a1fa2
+size 184850
diff --git a/results/train/parabola/problem_3543.png b/results/train/parabola/problem_3543.png
new file mode 100644
index 0000000000000000000000000000000000000000..e239880f43ec072ad8dad9d07ad997089bb99dc1
--- /dev/null
+++ b/results/train/parabola/problem_3543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdc0928bddb19d344a7d98e373381b0ae9ffcde54e71077498fef0e15d69810c
+size 186176
diff --git a/results/train/parabola/problem_3545.png b/results/train/parabola/problem_3545.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb9ea11f5d1fe60eb78a8232de88f8d7b21af495
--- /dev/null
+++ b/results/train/parabola/problem_3545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e83c31fbdfefa925aea0787bec9a021c2290ceb552c23a99bf0a3de8a33b1b57
+size 192293
diff --git a/results/train/parabola/problem_3547.png b/results/train/parabola/problem_3547.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cc2e4dce2015d4704325140f7b82c7d3e8187c8
--- /dev/null
+++ b/results/train/parabola/problem_3547.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60c16b1aae44362d7c05ca2767ce134fa9f8136dae0ba8e911a880d518a7eef8
+size 179101
diff --git a/results/train/parabola/problem_3548.png b/results/train/parabola/problem_3548.png
new file mode 100644
index 0000000000000000000000000000000000000000..376d08c003bbce60ef356c6b939e2890af8a05f7
--- /dev/null
+++ b/results/train/parabola/problem_3548.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0997c38948e957b068c9ab0ae9daaea9cbb865adcb103ea6e6a6dc27be3f855b
+size 186700
diff --git a/results/train/parabola/problem_3549.png b/results/train/parabola/problem_3549.png
new file mode 100644
index 0000000000000000000000000000000000000000..00cf613bbb41e2154472bfd9b90067928c5395b4
--- /dev/null
+++ b/results/train/parabola/problem_3549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:024a1527d67ff7f5e9130b7e2cc3dfe547e76a368e57170ce2f470ceeb299052
+size 200079
diff --git a/results/train/parabola/problem_3552.png b/results/train/parabola/problem_3552.png
new file mode 100644
index 0000000000000000000000000000000000000000..f00514e5cbcf9784fafb9d95723bfe1c629dc5eb
--- /dev/null
+++ b/results/train/parabola/problem_3552.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:407b894388ce47b21beaa5f3a3c2ae6852c8ff496a43e17d665b1f154806e55e
+size 193153
diff --git a/results/train/parabola/problem_3553.png b/results/train/parabola/problem_3553.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d084c319ac3d7bbfb6ef79c927219fdfdde3d20
--- /dev/null
+++ b/results/train/parabola/problem_3553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc75927d9439ef107ea514be5c57b8679ce6f424fb887dbe79be0d189777f7bf
+size 189394
diff --git a/results/train/parabola/problem_3558.png b/results/train/parabola/problem_3558.png
new file mode 100644
index 0000000000000000000000000000000000000000..5da8887976c63bbbfe35b846ea298aa71ce6a564
--- /dev/null
+++ b/results/train/parabola/problem_3558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:009704fd83060705be80d57668209ead7c3b5fff9dc895397496d47b66e4d79f
+size 194261
diff --git a/results/train/parabola/problem_3562.png b/results/train/parabola/problem_3562.png
new file mode 100644
index 0000000000000000000000000000000000000000..2582c79d0a17dee0815c133a22bf1435da3aad35
--- /dev/null
+++ b/results/train/parabola/problem_3562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb963549667e28d5fdf3ae2130e7d3bfc05937440df0f6be9de9ae03af6110f5
+size 197598
diff --git a/results/train/parabola/problem_3563.png b/results/train/parabola/problem_3563.png
new file mode 100644
index 0000000000000000000000000000000000000000..436b4d4fb110c74164f1c76e951201d960d71b01
--- /dev/null
+++ b/results/train/parabola/problem_3563.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68090fa9ce7121b9df282bb0e50985b2f6d34e9f8f313d00a4d7aa8e07be8471
+size 185793
diff --git a/results/train/parabola/problem_3564.png b/results/train/parabola/problem_3564.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cad83608918ba3b087a3e0fd3986436b425335b
--- /dev/null
+++ b/results/train/parabola/problem_3564.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4409804e2d818155b624fdfddb2320378689294293b069fad2e3e591c0e4d19a
+size 199207
diff --git a/results/train/parabola/problem_3568.png b/results/train/parabola/problem_3568.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b4865137cebde07af671d634aa1b57104d8f624
--- /dev/null
+++ b/results/train/parabola/problem_3568.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:531f26664af26cb8e64034245b3671b08171a832dcc398fb98e501be885c6742
+size 192131
diff --git a/results/train/parabola/problem_3572.png b/results/train/parabola/problem_3572.png
new file mode 100644
index 0000000000000000000000000000000000000000..5702da0be9737dc125633f3c13785bcba058e1b1
--- /dev/null
+++ b/results/train/parabola/problem_3572.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bbccd30e28002533481290982e58bec2e66c55ee9f06d5a3d1522f1761b7171
+size 190761
diff --git a/results/train/parabola/problem_3575.png b/results/train/parabola/problem_3575.png
new file mode 100644
index 0000000000000000000000000000000000000000..735e8e777518ff0e88989cc8f51836c25aa6f256
--- /dev/null
+++ b/results/train/parabola/problem_3575.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ebe1fef811a2c57fcec7bf79c4e1e7dc18f5ce003cc9f3ceb7ba97f7df1fba4
+size 197999
diff --git a/results/train/parabola/problem_3577.png b/results/train/parabola/problem_3577.png
new file mode 100644
index 0000000000000000000000000000000000000000..718df1c3dd6b1be3d02c85bad9392113ebffa5d3
--- /dev/null
+++ b/results/train/parabola/problem_3577.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1bb7c8b546db2950b7ffacbfce3ddaadd1ac07f0a17c998cd2d0488420ee2f29
+size 191612
diff --git a/results/train/parabola/problem_3583.png b/results/train/parabola/problem_3583.png
new file mode 100644
index 0000000000000000000000000000000000000000..910bf0ac449fd5c454877c794645ed1b8de22896
--- /dev/null
+++ b/results/train/parabola/problem_3583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae85a78a63806a4ec766f5cc59dc313160c8de7d505a89f31e7cc32705d1b6b3
+size 197304
diff --git a/results/train/parabola/problem_3593.png b/results/train/parabola/problem_3593.png
new file mode 100644
index 0000000000000000000000000000000000000000..ccf137887daf66f2c5e5f7fcdae5f50049d95f59
--- /dev/null
+++ b/results/train/parabola/problem_3593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1664f00c73e9f4b48607aa17393b064efdc31defb7439e8c284688990c2444d
+size 196415
diff --git a/results/train/parabola/problem_3594.png b/results/train/parabola/problem_3594.png
new file mode 100644
index 0000000000000000000000000000000000000000..57367799cf24f1e4169bb1882716aec0d7fcf1d3
--- /dev/null
+++ b/results/train/parabola/problem_3594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:959c4ed1dc31f7998071cd85a058c70f0f458b5463bdbbf7c556ef90ae756ca5
+size 201211
diff --git a/results/train/parabola/problem_3600.png b/results/train/parabola/problem_3600.png
new file mode 100644
index 0000000000000000000000000000000000000000..f00dbba0a4554c14c5a43123907546f0a7a4679e
--- /dev/null
+++ b/results/train/parabola/problem_3600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5cf2060f632395c4e0319bce874b504c3786e33f39c758c6e8953a8fc3d45bf
+size 189128
diff --git a/results/train/parabola/problem_3608.png b/results/train/parabola/problem_3608.png
new file mode 100644
index 0000000000000000000000000000000000000000..be8b3fafa669a5e293a241bcbbb4d081f335e0fc
--- /dev/null
+++ b/results/train/parabola/problem_3608.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e39fc4f47a5ee456078c631bd15f6643f0f152e49e75ac16bae5d266b8d2bc04
+size 199875
diff --git a/results/train/parabola/problem_3619.png b/results/train/parabola/problem_3619.png
new file mode 100644
index 0000000000000000000000000000000000000000..b5517dd45cd68091a42e36cb7f36d43ee1e9ff9d
--- /dev/null
+++ b/results/train/parabola/problem_3619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87d533c6f6d2a5c43f7e2147c94bc4ec19551fa649bc4c34e3a36f9645c58a59
+size 195767
diff --git a/results/train/parabola/problem_3620.png b/results/train/parabola/problem_3620.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa7b37ac3ea132eea2b46540a99fb2d57ad376b4
--- /dev/null
+++ b/results/train/parabola/problem_3620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc2c44c149b0446d91650d2d58b6412311454fcc7b8009fc4a8862651f19c431
+size 196056
diff --git a/results/train/parabola/problem_3621.png b/results/train/parabola/problem_3621.png
new file mode 100644
index 0000000000000000000000000000000000000000..02149841bd7f9f115e0e1fc4d5d7c83a9fc6fbe2
--- /dev/null
+++ b/results/train/parabola/problem_3621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17d1332c0a8fa532a91a1cc563248186487797b225f05aaa032a27538bc982c8
+size 190024
diff --git a/results/train/parabola/problem_3625.png b/results/train/parabola/problem_3625.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca382a14e10c487b904370e9e7749028887978c8
--- /dev/null
+++ b/results/train/parabola/problem_3625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f39abed747119f56f3ba278616a7caf438b593260f8b7a39c62075e149253066
+size 182616
diff --git a/results/train/parabola/problem_3628.png b/results/train/parabola/problem_3628.png
new file mode 100644
index 0000000000000000000000000000000000000000..31525a41bce6be9d7d1207fe279cd222248023e1
--- /dev/null
+++ b/results/train/parabola/problem_3628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:032970a40c503ac66d298faf2c391a19830221699f7380c6f81fb9d57d440e4f
+size 203824
diff --git a/results/train/parabola/problem_3637.png b/results/train/parabola/problem_3637.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f36f47cd544c786b7bbeb346837e5ea151ba2f2
--- /dev/null
+++ b/results/train/parabola/problem_3637.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f4e2c10ebc126264601d4e44a9f76150049b481bc537b8d4af55a3fad018188
+size 183106
diff --git a/results/train/parabola/problem_3640.png b/results/train/parabola/problem_3640.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c2cd8f7b94eec18f5ba3765606edb84d1c517bf
--- /dev/null
+++ b/results/train/parabola/problem_3640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ae5076779c6ae5965ab7147c34d6a98b6e981f85789a624d90a286ea41035fd4
+size 204964
diff --git a/results/train/parabola/problem_3644.png b/results/train/parabola/problem_3644.png
new file mode 100644
index 0000000000000000000000000000000000000000..35460040b5fd9674bf71c72249b87bcb294f3f89
--- /dev/null
+++ b/results/train/parabola/problem_3644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c9a0f57dd59e26433e6aa8691b91f1c020a1704be0362e901692e7b06ed7194
+size 182826
diff --git a/results/train/parabola/problem_3646.png b/results/train/parabola/problem_3646.png
new file mode 100644
index 0000000000000000000000000000000000000000..158817afa7c561022f7aee5846e1b65b794f863a
--- /dev/null
+++ b/results/train/parabola/problem_3646.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dce000516a5ecdf160e636308299a38594426603ecec4bbb6b67734b61d85f9a
+size 185906
diff --git a/results/train/parabola/problem_3648.png b/results/train/parabola/problem_3648.png
new file mode 100644
index 0000000000000000000000000000000000000000..16f81b07f1986564c6fd17b466be70d9d3e0d091
--- /dev/null
+++ b/results/train/parabola/problem_3648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35c07d3bc8aea80d3c6530d8abb6c789f65b59b37f03a97a58afdc0eeac804fd
+size 175670
diff --git a/results/train/parabola/problem_3650.png b/results/train/parabola/problem_3650.png
new file mode 100644
index 0000000000000000000000000000000000000000..553b2844ebaca3e8b7f76225fd08720044da65ab
--- /dev/null
+++ b/results/train/parabola/problem_3650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32d2854a5aadad61f183e714329f2644dc461c09652b908ec77f3c8fafec7f24
+size 199392
diff --git a/results/train/parabola/problem_3655.png b/results/train/parabola/problem_3655.png
new file mode 100644
index 0000000000000000000000000000000000000000..8599f31896a42c4fc348e32da3703b792af6e32b
--- /dev/null
+++ b/results/train/parabola/problem_3655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d175657b2cb2e8340d4eee236862924060494760afae724eff109753a3f7e40
+size 194346
diff --git a/results/train/parabola/problem_3656.png b/results/train/parabola/problem_3656.png
new file mode 100644
index 0000000000000000000000000000000000000000..29f36e5d985c0394a75660ffc208048f788bc72b
--- /dev/null
+++ b/results/train/parabola/problem_3656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2298aca9ac5269020a5ebc4d861a4a00a9f4f31616a9bce2cc9083edf14f3d8
+size 185380
diff --git a/results/train/parabola/problem_3658.png b/results/train/parabola/problem_3658.png
new file mode 100644
index 0000000000000000000000000000000000000000..356888b154c21106a6cc89a6a4c118c55630d8a2
--- /dev/null
+++ b/results/train/parabola/problem_3658.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09b588e54ce8ba86ea924f8e40ce9dc0cd6bb577462d833ba266986a61c88c7f
+size 191049
diff --git a/results/train/parabola/problem_3667.png b/results/train/parabola/problem_3667.png
new file mode 100644
index 0000000000000000000000000000000000000000..024b47977ddfb2bc5276148e2ed6ed12c03233cb
--- /dev/null
+++ b/results/train/parabola/problem_3667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ec3caabfa12a0b88701b77efd9a125db087f99a2495bc939b0330a90f934a35
+size 181867
diff --git a/results/train/parabola/problem_3669.png b/results/train/parabola/problem_3669.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a6fbe9b4c9a4a4f92ee63dea51ab1c5d95bba28
--- /dev/null
+++ b/results/train/parabola/problem_3669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4cc409781d5693e66f10a046e71e8b22734b670b6c39f3bc6680076fd89d83a
+size 194680
diff --git a/results/train/parabola/problem_3671.png b/results/train/parabola/problem_3671.png
new file mode 100644
index 0000000000000000000000000000000000000000..31fc3e38eb4db8ef26b88aacf4e0798039412c46
--- /dev/null
+++ b/results/train/parabola/problem_3671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c6f43bf505ac2fa838f913dacc587bf236316da16be6277f306988cb92c08aa0
+size 198968
diff --git a/results/train/parabola/problem_3672.png b/results/train/parabola/problem_3672.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfa33f8816ab7bea663fb905b0b0f1bb2c9c2b8f
--- /dev/null
+++ b/results/train/parabola/problem_3672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6512b61730c90bd6cb198797cef70bd758bc80a47b7eda0c7bf266a3a145c79a
+size 205996
diff --git a/results/train/parabola/problem_3677.png b/results/train/parabola/problem_3677.png
new file mode 100644
index 0000000000000000000000000000000000000000..047d2495c05847f60a63c318c3bfc3a521e4ae14
--- /dev/null
+++ b/results/train/parabola/problem_3677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bc103dfa219f49dea5da1f6a980c9c4bd1169e914ce6aa88b07688f4e0583ed4
+size 183360
diff --git a/results/train/parabola/problem_3679.png b/results/train/parabola/problem_3679.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e55cb54b1ceb243ed8005216eb1fe28abca2de8
--- /dev/null
+++ b/results/train/parabola/problem_3679.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:097c6276da12fa5deb1e730cf26784d106d802e617efc5736d85f42b1616ea3a
+size 206521
diff --git a/results/train/parabola/problem_3680.png b/results/train/parabola/problem_3680.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a5af7f2a6506646af46210c52d7ea5f11060993
--- /dev/null
+++ b/results/train/parabola/problem_3680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60c866c50fd660d924fb70770e016a822d176a9c3f25e78b5b275dd3032d3a62
+size 172796
diff --git a/results/train/parabola/problem_3686.png b/results/train/parabola/problem_3686.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f7431cb11904b45636895a1319ecb9409f16e44
--- /dev/null
+++ b/results/train/parabola/problem_3686.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35b3e9899c4f3b3ac4e4382055564c1d4a671c4239262719bdff32b626b8f911
+size 187038
diff --git a/results/train/parabola/problem_3692.png b/results/train/parabola/problem_3692.png
new file mode 100644
index 0000000000000000000000000000000000000000..7f6e8dcec50b5abbc7f799fcfe345a102524e0de
--- /dev/null
+++ b/results/train/parabola/problem_3692.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6703205c6fd4ec0a111d1879a225e89612b78cfb71e9a9f26f92c94f947dee25
+size 201479
diff --git a/results/train/parabola/problem_3701.png b/results/train/parabola/problem_3701.png
new file mode 100644
index 0000000000000000000000000000000000000000..63dde159fb7c050166d264f392a17ea0d4a8bf91
--- /dev/null
+++ b/results/train/parabola/problem_3701.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:457106488c2738e604a03066d83003097c0d6627ec068833e2ee55a729becabb
+size 184569
diff --git a/results/train/parabola/problem_3702.png b/results/train/parabola/problem_3702.png
new file mode 100644
index 0000000000000000000000000000000000000000..09e901fc6db120d8df4a9a9eb8acdd1b8a3c8757
--- /dev/null
+++ b/results/train/parabola/problem_3702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1456a90e1ecb36739b08df2f2de761f15a455063c0f967faac24cc406ddd271a
+size 188987
diff --git a/results/train/parabola/problem_3711.png b/results/train/parabola/problem_3711.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fd000791329436af9df0e746e1bc2b4e92297f1
--- /dev/null
+++ b/results/train/parabola/problem_3711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:307980b5580e790a9f2304246eb51eb3607ac8be80268281656bd18a655cceee
+size 184055
diff --git a/results/train/parabola/problem_3712.png b/results/train/parabola/problem_3712.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bb3404eaf569d8806e96cec64ead02471841060
--- /dev/null
+++ b/results/train/parabola/problem_3712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d468692b358a9a9be33995838fb62fd21ed0a15b68ae6f654faa3de793569f62
+size 181902
diff --git a/results/train/parabola/problem_3716.png b/results/train/parabola/problem_3716.png
new file mode 100644
index 0000000000000000000000000000000000000000..593811a3fba29cf0b45b3322fbc48cc3e96bbc0c
--- /dev/null
+++ b/results/train/parabola/problem_3716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e47d82fdd33f17dfb84d4980b4f909f9d46ec8ab81be11c9bf20f6c69b2a093
+size 191124
diff --git a/results/train/parabola/problem_3720.png b/results/train/parabola/problem_3720.png
new file mode 100644
index 0000000000000000000000000000000000000000..0144389bc73788388cdf43bdcf2385befdc41e43
--- /dev/null
+++ b/results/train/parabola/problem_3720.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03a7ef3123ba5b7eef3464bcc17a3a39fc52f24480e8397a264b18fbfb698367
+size 191588
diff --git a/results/train/parabola/problem_3722.png b/results/train/parabola/problem_3722.png
new file mode 100644
index 0000000000000000000000000000000000000000..055e427d875c8347d1a4add880ae6aa2b536e65e
--- /dev/null
+++ b/results/train/parabola/problem_3722.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2fad5e66f4a4d61424d2e8f9ea5812842c8e6d8d251a64a65a00385a278738a
+size 155498
diff --git a/results/train/parabola/problem_3730.png b/results/train/parabola/problem_3730.png
new file mode 100644
index 0000000000000000000000000000000000000000..e97c939422caca1faa47349ae5e598fb84f2656f
--- /dev/null
+++ b/results/train/parabola/problem_3730.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88037537243c9b191681e40317a9249a48effbb929dc12fc217bf27a86b5e7d5
+size 183797
diff --git a/results/train/parabola/problem_3732.png b/results/train/parabola/problem_3732.png
new file mode 100644
index 0000000000000000000000000000000000000000..44b5fc6028a654122a2440afb8c68ec4c497efe2
--- /dev/null
+++ b/results/train/parabola/problem_3732.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2301a289797a8069c44f895a456b8d651ffd5e5178925c6fb61279d25d66be2a
+size 193799
diff --git a/results/train/parabola/problem_3737.png b/results/train/parabola/problem_3737.png
new file mode 100644
index 0000000000000000000000000000000000000000..d653937d5ecb8bf8bcf83573ffc5a1789e44ec79
--- /dev/null
+++ b/results/train/parabola/problem_3737.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57df382d4901ee77bb3fc8273c5e88d83702ce7527402f68340fbfe8ba1f5ef5
+size 190058
diff --git a/results/train/parabola/problem_3740.png b/results/train/parabola/problem_3740.png
new file mode 100644
index 0000000000000000000000000000000000000000..82d6d6b2bc13ec2d01a1ddeca233eae3cdb87327
--- /dev/null
+++ b/results/train/parabola/problem_3740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87728af5fcb1dbe4fde85620625b7bece918c6a3566a5fdf51274072a64804e3
+size 196754
diff --git a/results/train/parabola/problem_3742.png b/results/train/parabola/problem_3742.png
new file mode 100644
index 0000000000000000000000000000000000000000..2292eab3861cc637e4b3448607f6ffa4d0d7128c
--- /dev/null
+++ b/results/train/parabola/problem_3742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:180438e10cb231e0379473812f770b10cc2a5f9272814ad52be085740b6ab9ad
+size 182969
diff --git a/results/train/parabola/problem_3743.png b/results/train/parabola/problem_3743.png
new file mode 100644
index 0000000000000000000000000000000000000000..9747bfc944f5129e71abfca23c7d1f09ad7a2023
--- /dev/null
+++ b/results/train/parabola/problem_3743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6af6e6930f854a8e636619144cdd3bb9a9025ce0bdab47d9ed331eec1073d371
+size 189741
diff --git a/results/train/parabola/problem_3745.png b/results/train/parabola/problem_3745.png
new file mode 100644
index 0000000000000000000000000000000000000000..eae11b555a7f5035016b9a988da5104fcf928ff0
--- /dev/null
+++ b/results/train/parabola/problem_3745.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcc8e3b36f1733fc9f2afd14f3cd8d6f0d8fb2af4ef20e6f72fdcc76cbec758e
+size 190616
diff --git a/results/train/parabola/problem_3747.png b/results/train/parabola/problem_3747.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6585a4f77359b1ae8f013618918388fbf54972d
--- /dev/null
+++ b/results/train/parabola/problem_3747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3045b59f5dac96c4d5399c186339209c10b9096e392fb14555217b14ae8842a
+size 209774
diff --git a/results/train/parabola/problem_3748.png b/results/train/parabola/problem_3748.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c2e3b20ecf1fb816930e1ed50bb03b35e3f318c
--- /dev/null
+++ b/results/train/parabola/problem_3748.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c922c2188383323de5d83cda3e1d174c29a380b986918e671c46a3cb0638af2
+size 193057
diff --git a/results/train/parabola/problem_3750.png b/results/train/parabola/problem_3750.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7410a55ef35cafd7cd9e985a21bd8813423f03f
--- /dev/null
+++ b/results/train/parabola/problem_3750.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:321eeeb834bb1b9587221ce63442fb7f554eeff602ee6bca6c2ea1db73eb8679
+size 182418
diff --git a/results/train/parabola/problem_3751.png b/results/train/parabola/problem_3751.png
new file mode 100644
index 0000000000000000000000000000000000000000..a47bdcde0633d3aada3854b1f27b62ff8c9cfe6a
--- /dev/null
+++ b/results/train/parabola/problem_3751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c6244cfd145433df7badb04a545a96b82e446097058d87f6d1f811f3feebf44
+size 191346
diff --git a/results/train/parabola/problem_3753.png b/results/train/parabola/problem_3753.png
new file mode 100644
index 0000000000000000000000000000000000000000..412f0dbca87a7c9bf1bb7f922779248860bf979a
--- /dev/null
+++ b/results/train/parabola/problem_3753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:00c774dafe6740b9b0841b85365ac7d88dfce08feaab5e41076102b3c69d5aa7
+size 188991
diff --git a/results/train/parabola/problem_3762.png b/results/train/parabola/problem_3762.png
new file mode 100644
index 0000000000000000000000000000000000000000..f1bb141d36f0c294f7b3b974f6d5679550d1177b
--- /dev/null
+++ b/results/train/parabola/problem_3762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fe60569cce48a54d823dddcad06c3967cf174f62bbeba7760327e5ab3101f46
+size 198361
diff --git a/results/train/parabola/problem_3770.png b/results/train/parabola/problem_3770.png
new file mode 100644
index 0000000000000000000000000000000000000000..42b7b9385b2610032c3adb3f7c1acb99ea6f84ff
--- /dev/null
+++ b/results/train/parabola/problem_3770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b258df50a2a635bb2170903f0c54c0481bcc985cf4dbaade0930741194b2b02f
+size 209849
diff --git a/results/train/parabola/problem_3778.png b/results/train/parabola/problem_3778.png
new file mode 100644
index 0000000000000000000000000000000000000000..48cda3cc72cd3d989894da273e7a5cf62ea4db49
--- /dev/null
+++ b/results/train/parabola/problem_3778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c2a08919a3bc9824457a40d8b52c0c255302631021cdf0a89200172aa2080ae
+size 193908
diff --git a/results/train/parabola/problem_3782.png b/results/train/parabola/problem_3782.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5356796a7fea1413be3817a7da60aa375d167a8
--- /dev/null
+++ b/results/train/parabola/problem_3782.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:704953773786088eee0b0eff1881edbcaf443fe01884e62722b1d1e44d7e6fc1
+size 186365
diff --git a/results/train/parabola/problem_3786.png b/results/train/parabola/problem_3786.png
new file mode 100644
index 0000000000000000000000000000000000000000..c38395395e860f91c735c81ef5d39d9ecbb56156
--- /dev/null
+++ b/results/train/parabola/problem_3786.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de038cce69b9663eee59473434f155a0d11bdd2faf021752dd6b79b03dde1976
+size 177074
diff --git a/results/train/parabola/problem_3789.png b/results/train/parabola/problem_3789.png
new file mode 100644
index 0000000000000000000000000000000000000000..f80a14a03d5cbcefafa118ccf0a566f0b7c9bb56
--- /dev/null
+++ b/results/train/parabola/problem_3789.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a4b745a30c0da2e193b42d878b3cd3e1953bf0f739db862cd67ca60f171a8602
+size 184484
diff --git a/results/train/parabola/problem_3791.png b/results/train/parabola/problem_3791.png
new file mode 100644
index 0000000000000000000000000000000000000000..079c95a002aec8298a41e440f6d746ec2148235f
--- /dev/null
+++ b/results/train/parabola/problem_3791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f287110b6bf45f655f5f9d6bd0bd98d589a38e1cfead8e3831a276fdc4e26e1
+size 193272
diff --git a/results/train/parabola/problem_3799.png b/results/train/parabola/problem_3799.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6c89985256cb7c86e288dad555d0c38541f2d0f
--- /dev/null
+++ b/results/train/parabola/problem_3799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec161be5eadd89f27337d978bb8e11bc2a4f9590cf6d6d5808a3a6f6dfbb6c50
+size 211945
diff --git a/results/train/parabola/problem_3801.png b/results/train/parabola/problem_3801.png
new file mode 100644
index 0000000000000000000000000000000000000000..3ce680a9a262d1568d5a0c29574c4a63aa075f15
--- /dev/null
+++ b/results/train/parabola/problem_3801.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f1d1e6510fbcdd144e91064770e93e2eff648fb685e726cd945377cf87c94fc
+size 194738
diff --git a/results/train/parabola/problem_3803.png b/results/train/parabola/problem_3803.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cc42879be53218e747094f17bc4787d7257c7ac
--- /dev/null
+++ b/results/train/parabola/problem_3803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:34c175755e82814e5cd348ddc27f9fda6f3d0c0522a740d98aeeab159a319cc0
+size 186180
diff --git a/results/train/parabola/problem_3810.png b/results/train/parabola/problem_3810.png
new file mode 100644
index 0000000000000000000000000000000000000000..50eaebfb0269b3a86e5b1026d7e1f33842d8c9b2
--- /dev/null
+++ b/results/train/parabola/problem_3810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2be91bee84e71bb82de9c725e0a1fbe06602413e5722d3d054a9159ed90f16c
+size 193739
diff --git a/results/train/parabola/problem_3811.png b/results/train/parabola/problem_3811.png
new file mode 100644
index 0000000000000000000000000000000000000000..7119a9ca5b7583782a1e6eb6cd780585ff2b4d12
--- /dev/null
+++ b/results/train/parabola/problem_3811.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5aa9c44649b16f29df3736e38f6d43b76086dbfc4fbfb0ec01980a75c2740dc
+size 183340
diff --git a/results/train/parabola/problem_3812.png b/results/train/parabola/problem_3812.png
new file mode 100644
index 0000000000000000000000000000000000000000..10123586848e17b46cc41a208f49196408258cfc
--- /dev/null
+++ b/results/train/parabola/problem_3812.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ff738e1d593cd6a64c6e719c6af65857a6ed5d788c6b78acdf91ba65ee43271
+size 154103
diff --git a/results/train/parabola/problem_3817.png b/results/train/parabola/problem_3817.png
new file mode 100644
index 0000000000000000000000000000000000000000..baa463fdb7959862b4a7d121515d17733e1abdb3
--- /dev/null
+++ b/results/train/parabola/problem_3817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d890ac85aa0a30ca5a8b9dcba44dab7a1b0b16e96cedd6758d112ecbbec0fcd
+size 194191
diff --git a/results/train/parabola/problem_3823.png b/results/train/parabola/problem_3823.png
new file mode 100644
index 0000000000000000000000000000000000000000..6794f3e0c25db7486a3fd2319e7d352a73984bd6
--- /dev/null
+++ b/results/train/parabola/problem_3823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb3601a27adc6313d309e98f7ec686717ca4bdcdad33f9838aeb676ba4df56ef
+size 190367
diff --git a/results/train/parabola/problem_3824.png b/results/train/parabola/problem_3824.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf97ec8d168915df55b38a9d60759195f3e3fa34
--- /dev/null
+++ b/results/train/parabola/problem_3824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cabb1a8bfc3d686abf5b5e3d32e8d559c2c39983734f086ddcfccbbfbc35a68
+size 166368
diff --git a/results/train/parabola/problem_3827.png b/results/train/parabola/problem_3827.png
new file mode 100644
index 0000000000000000000000000000000000000000..78aee2a1b8d5658c62696ffbc7676b43d682322c
--- /dev/null
+++ b/results/train/parabola/problem_3827.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de8121c0af1dd8dd7a58013192499933c2a48f1ee49a84413ab8a319e2ffbbb6
+size 185544
diff --git a/results/train/parabola/problem_3839.png b/results/train/parabola/problem_3839.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d9f512b8463ca8e1823e9bbe804353da9f27487
--- /dev/null
+++ b/results/train/parabola/problem_3839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89a2312b63dc4154ca30f1f54f8267debf8c98c889dfe0c959cae79d3e9d7c33
+size 194009
diff --git a/results/train/parabola/problem_3857.png b/results/train/parabola/problem_3857.png
new file mode 100644
index 0000000000000000000000000000000000000000..93e70ebc5248c2155b63f533898334b9b2ade1db
--- /dev/null
+++ b/results/train/parabola/problem_3857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cea20951b3e199d56cc2fd7bc732c74158d46862941d559f66d1517a32f2431d
+size 185966
diff --git a/results/train/parabola/problem_3869.png b/results/train/parabola/problem_3869.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd71938daa21d3e3eb44c9d28f1c1978edb1768e
--- /dev/null
+++ b/results/train/parabola/problem_3869.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:212e3261b23fe63f4a778bdd565863cafeb414390d1db65f2a3c8ad6a937c7d1
+size 183629
diff --git a/results/train/parabola/problem_3872.png b/results/train/parabola/problem_3872.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb858df545686ddc6bd3bc8468af5ed5058079c9
--- /dev/null
+++ b/results/train/parabola/problem_3872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7abedc26e298cd21d82d169819a8ae739b9e9f6caa68cc8cbc903ac3ee8155d2
+size 190954
diff --git a/results/train/parabola/problem_3873.png b/results/train/parabola/problem_3873.png
new file mode 100644
index 0000000000000000000000000000000000000000..54eefcb05967fd1899caef04a5618cb8b1612e1e
--- /dev/null
+++ b/results/train/parabola/problem_3873.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63be195b7818ec054fcd6d4e17932ddb14081dc57782c20f653277ae4f81926d
+size 209223
diff --git a/results/train/parabola/problem_3875.png b/results/train/parabola/problem_3875.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae7c74d08d2aa7d566718a080a1ab7831f004f1a
--- /dev/null
+++ b/results/train/parabola/problem_3875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:96df0792c8f850c03aa372c35791619a06bc0e7d896cbe47d2e4c11678b73072
+size 173659
diff --git a/results/train/parabola/problem_3876.png b/results/train/parabola/problem_3876.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fc980a2999f31322c5ff39e6d769de589a8b4a8
--- /dev/null
+++ b/results/train/parabola/problem_3876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7092414959cb7d3cb43bc9c097f5c294d6737db4b111928eae7e8d8413639d74
+size 184868
diff --git a/results/train/parabola/problem_3881.png b/results/train/parabola/problem_3881.png
new file mode 100644
index 0000000000000000000000000000000000000000..81cee0e6cc4a017697cf665ee64eb2d1ab5afb03
--- /dev/null
+++ b/results/train/parabola/problem_3881.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f6cce0b85cf5d423a92da50b9102c4cd0b21aa8da653735852eafbe7461be00
+size 200328
diff --git a/results/train/parabola/problem_3887.png b/results/train/parabola/problem_3887.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0186807909aad3436e9a20793adb864d4597a42
--- /dev/null
+++ b/results/train/parabola/problem_3887.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19b547610c2f0a201b9cfdb89e2486664b50d352df4323b8c37a88644bb22f41
+size 189193
diff --git a/results/train/parabola/problem_3888.png b/results/train/parabola/problem_3888.png
new file mode 100644
index 0000000000000000000000000000000000000000..6acfb124ce862162953ccb662bd60ed17907fa9f
--- /dev/null
+++ b/results/train/parabola/problem_3888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:766b1bc05ca61a55471ebd1fc4d681032f9c9d70c55844f6c758214d46ebbe47
+size 187860
diff --git a/results/train/parabola/problem_3890.png b/results/train/parabola/problem_3890.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d40929bd4d3ed805940ad93e2823db71b6c7768
--- /dev/null
+++ b/results/train/parabola/problem_3890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f11b114cefe6a454795346d57d2f78482e8f2e7dffe56960a65f2a89c7dbaca
+size 183688
diff --git a/results/train/parabola/problem_3891.png b/results/train/parabola/problem_3891.png
new file mode 100644
index 0000000000000000000000000000000000000000..b51fc6b3846f1c21f7074299f85d03dd5c4778a3
--- /dev/null
+++ b/results/train/parabola/problem_3891.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95841e6f35acda6e6906142c33b5d176ece2f5ef0a36cd51081eba4026ac3a86
+size 180861
diff --git a/results/train/parabola/problem_3895.png b/results/train/parabola/problem_3895.png
new file mode 100644
index 0000000000000000000000000000000000000000..af30b0888b9e5f5e7dc676d06630b8eb2422d9e8
--- /dev/null
+++ b/results/train/parabola/problem_3895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb723b0b6d7a8021468c299d79ee6bd5ea6bccf3f71e766dbc2381ff6bbf3ec4
+size 196257
diff --git a/results/train/parabola/problem_3900.png b/results/train/parabola/problem_3900.png
new file mode 100644
index 0000000000000000000000000000000000000000..e00caa3494ba2946423c8eb0b75f177a0aecef35
--- /dev/null
+++ b/results/train/parabola/problem_3900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e099b2c250f0f48431776c22eaf4d56b9a8ef33034e286c410d404c070111bd
+size 192583
diff --git a/results/train/parabola/problem_3901.png b/results/train/parabola/problem_3901.png
new file mode 100644
index 0000000000000000000000000000000000000000..0fd5218d21ed18ae51ca30007351d3e83656f250
--- /dev/null
+++ b/results/train/parabola/problem_3901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e09c7fdc21df5791c7dd27f78e0500e396ad2453ad1e3eeec1c12d218e18e02b
+size 180201
diff --git a/results/train/parabola/problem_3912.png b/results/train/parabola/problem_3912.png
new file mode 100644
index 0000000000000000000000000000000000000000..220abe4b554e32a1e39ee4aad9e4f082e6e9ad04
--- /dev/null
+++ b/results/train/parabola/problem_3912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c310f3d206cd48132d173a4a579e3f8e4b081634a7cb9e8220677f1d25c50e6b
+size 173573
diff --git a/results/train/parabola/problem_3913.png b/results/train/parabola/problem_3913.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f4c355035ea0719bef5e3e6bfe22e30260f34e1
--- /dev/null
+++ b/results/train/parabola/problem_3913.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61110bea2c20589e028ee61c838e5ffaa875efa075a9130d130daecdb9b46d2e
+size 196117
diff --git a/results/train/parabola/problem_3917.png b/results/train/parabola/problem_3917.png
new file mode 100644
index 0000000000000000000000000000000000000000..420f91c080d881f3036e0e3772ed6e00335976eb
--- /dev/null
+++ b/results/train/parabola/problem_3917.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b475caf3546d2cb64075e0ce46c3a2b3104001ebb3cffe28d8f87336fb7ce50d
+size 205277
diff --git a/results/train/parabola/problem_3922.png b/results/train/parabola/problem_3922.png
new file mode 100644
index 0000000000000000000000000000000000000000..7084c162b66870e09e94951de2a8506e754492ce
--- /dev/null
+++ b/results/train/parabola/problem_3922.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:008fb78133b30575b6f07bded8180e7d864d6ce8b1fdbd39b4643f283ea94a5e
+size 194618
diff --git a/results/train/parabola/problem_3927.png b/results/train/parabola/problem_3927.png
new file mode 100644
index 0000000000000000000000000000000000000000..9b0182b3f62b11632e88b8833510c9449b1519b8
--- /dev/null
+++ b/results/train/parabola/problem_3927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e179fe2b921173591aea8336971205bf9383b8742e45a70a6d6ee5c2d5c907e1
+size 191108
diff --git a/results/train/parabola/problem_3930.png b/results/train/parabola/problem_3930.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb67f2f92355be3c6a4d717a949bd07739b1f473
--- /dev/null
+++ b/results/train/parabola/problem_3930.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac32bbfeb72aa95b4483ebe1314d47d204b73704f1573751ee9241b1e30af1e2
+size 186548
diff --git a/results/train/parabola/problem_3937.png b/results/train/parabola/problem_3937.png
new file mode 100644
index 0000000000000000000000000000000000000000..d743bbe1b0ddfaed8addc11326dc7837b8e716f0
--- /dev/null
+++ b/results/train/parabola/problem_3937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:526aaf3bfc047a44c74ac4e5fe500410542a899ebcdb7b41aae1a2fab31d8d4e
+size 186448
diff --git a/results/train/parabola/problem_3941.png b/results/train/parabola/problem_3941.png
new file mode 100644
index 0000000000000000000000000000000000000000..32d21d330d294745fb863a6df605757c034d0c94
--- /dev/null
+++ b/results/train/parabola/problem_3941.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8bf8ba4dcce3773963b267b2dad2d7fca1edeec38bfc3c6b48d24fa5b1d1b27a
+size 191080
diff --git a/results/train/parabola/problem_3942.png b/results/train/parabola/problem_3942.png
new file mode 100644
index 0000000000000000000000000000000000000000..27fb3e529cbba9af996074372d34b3e76ce86e5b
--- /dev/null
+++ b/results/train/parabola/problem_3942.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e85ff3ac30a37b5a41f879664e2ef8a9edc3f40f4ab06aab4e089cbd478c0e0c
+size 180589
diff --git a/results/train/parabola/problem_3943.png b/results/train/parabola/problem_3943.png
new file mode 100644
index 0000000000000000000000000000000000000000..7273a8e4c9be20d39a745521c89d8d05bdd271f0
--- /dev/null
+++ b/results/train/parabola/problem_3943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8033f3c3f438d4d31076f67d7671908b4441941523c19078f97411c06d6079e4
+size 194951
diff --git a/results/train/parabola/problem_3944.png b/results/train/parabola/problem_3944.png
new file mode 100644
index 0000000000000000000000000000000000000000..d77d2e824f426d411717912535cb7b7a3b7c99c3
--- /dev/null
+++ b/results/train/parabola/problem_3944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b269be72b8db8183b2275c9510aeefa693b004b4fc18bbbe51a956b5ac5457d
+size 154685
diff --git a/results/train/parabola/problem_3948.png b/results/train/parabola/problem_3948.png
new file mode 100644
index 0000000000000000000000000000000000000000..adf9d6b55428aae33efadfafdd065de3049c07d5
--- /dev/null
+++ b/results/train/parabola/problem_3948.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d68eb42d5da7b4a121b2a6e72a2d7c039f2b74cfe9fbd4b3dc001640e0183e2
+size 176724
diff --git a/results/train/parabola/problem_3965.png b/results/train/parabola/problem_3965.png
new file mode 100644
index 0000000000000000000000000000000000000000..82f1c5b3127a93f896176e1c59b380a4c18e2f63
--- /dev/null
+++ b/results/train/parabola/problem_3965.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:134057a828ef2bef5e94d6ee05f7c8d71bed99d2ae995b572725f53fd5c6d3d0
+size 198679
diff --git a/results/train/parabola/problem_3969.png b/results/train/parabola/problem_3969.png
new file mode 100644
index 0000000000000000000000000000000000000000..eadf0eb7ab2370a642dda9c514aed649c2dc9615
--- /dev/null
+++ b/results/train/parabola/problem_3969.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2123f22b3a1d1913a1187aff9c93d338914d94f0796b228fbac264da9d766c76
+size 205044
diff --git a/results/train/parabola/problem_3971.png b/results/train/parabola/problem_3971.png
new file mode 100644
index 0000000000000000000000000000000000000000..4debf0315e02d13337b93b2268061caf5d01ad57
--- /dev/null
+++ b/results/train/parabola/problem_3971.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd5245b3edc07d6c3f12d6350bf12f14fd3052eb8552440ce2d3ba7d38160266
+size 187606
diff --git a/results/train/parabola/problem_3975.png b/results/train/parabola/problem_3975.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ef3ce64637e9ebb052cc0bf8861a3210955ebce
--- /dev/null
+++ b/results/train/parabola/problem_3975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b36e50eb6293db2da325f3f91d800401f17b5c5a2240a5db3c14613ac607070
+size 193926
diff --git a/results/train/parabola/problem_3977.png b/results/train/parabola/problem_3977.png
new file mode 100644
index 0000000000000000000000000000000000000000..8c4e929d5ab2c6d36ba57d0a50ebc99f9713f101
--- /dev/null
+++ b/results/train/parabola/problem_3977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d90929b29c62057255b0edbbd03c9f8938c05f1a6fb07531e6e8d8565f622266
+size 190711
diff --git a/results/train/parabola/problem_3978.png b/results/train/parabola/problem_3978.png
new file mode 100644
index 0000000000000000000000000000000000000000..c86fe8bfdbcb5e88e85aac32773a3976c6815870
--- /dev/null
+++ b/results/train/parabola/problem_3978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c85907a8a122d8f52b554db8e3512e704adf60a641631812ee52d1b2d2fab38
+size 190456
diff --git a/results/train/parabola/problem_3982.png b/results/train/parabola/problem_3982.png
new file mode 100644
index 0000000000000000000000000000000000000000..da5d452f4a8e314ed665e1ccb4654ad32764ae3b
--- /dev/null
+++ b/results/train/parabola/problem_3982.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9cadf74f1c3d4d3926ca3d90de3c27e62b49870812cb7f124539c39dd6b109b8
+size 186592
diff --git a/results/train/parabola/problem_3983.png b/results/train/parabola/problem_3983.png
new file mode 100644
index 0000000000000000000000000000000000000000..3760c209539173eb72b38be34ec9f6a2ddef7370
--- /dev/null
+++ b/results/train/parabola/problem_3983.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7bb56563dec13b6ed1577017d0e4292c72dfce3eb4878b85b425622c67b3664a
+size 205866
diff --git a/results/train/parabola/problem_3984.png b/results/train/parabola/problem_3984.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1b9fb18aff372aa9bdca6fc0d8f5aa431761d4c
--- /dev/null
+++ b/results/train/parabola/problem_3984.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45d7543165286b8aca02ccc7379502c23c76d7e8eb403491ab835a483218815d
+size 193753
diff --git a/results/train/parabola/problem_3985.png b/results/train/parabola/problem_3985.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f91926d64c91f04e46f6a35bb44b47aed845fdf
--- /dev/null
+++ b/results/train/parabola/problem_3985.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af546c9e84761d13986238349cb13dc4481f502d134b94d26a72ea30f6ade9ae
+size 197570
diff --git a/results/train/parabola/problem_3990.png b/results/train/parabola/problem_3990.png
new file mode 100644
index 0000000000000000000000000000000000000000..463e669abad524153d0614740216b78e1f83e8f1
--- /dev/null
+++ b/results/train/parabola/problem_3990.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ad63ab3de30fbf7a7dfbec360d76607a60f29d333685b10d2aeca72fa628430
+size 181680
diff --git a/results/train/parabola/problem_3994.png b/results/train/parabola/problem_3994.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac02e8ae2984e8d0d65d4551a5ee7942f88bdaa4
--- /dev/null
+++ b/results/train/parabola/problem_3994.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e43c9bc4221c2294e5d2ac89c97b13f183f22315eac9c1252fe4b885076a5c97
+size 185457
diff --git a/results/train/parabola/problem_3995.png b/results/train/parabola/problem_3995.png
new file mode 100644
index 0000000000000000000000000000000000000000..a258a65623851713cc048e6dee84a2bb4c756ae7
--- /dev/null
+++ b/results/train/parabola/problem_3995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a9bff20b7622f3f5a7a4abbf864de7e5606d292ed57b7954e15e42a2085ba97
+size 181967
diff --git a/results/train/parabola/problem_3998.png b/results/train/parabola/problem_3998.png
new file mode 100644
index 0000000000000000000000000000000000000000..c039d7a29f83ff8552ceca171507ec8c42ef8bf3
--- /dev/null
+++ b/results/train/parabola/problem_3998.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25741db9f8f4ada875d41a2a34366d2e3b51c8bcccac4dabb2e1615014f4f5a1
+size 165147
diff --git a/results/train/parabola/problem_4000.png b/results/train/parabola/problem_4000.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ab558cc76af7c0d6b797b856e52ec2261d2b7c1
--- /dev/null
+++ b/results/train/parabola/problem_4000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:523f0a3dcb5efe8712c7037690beade72f68859d6cc07880a290f22e924d26ed
+size 189471
diff --git a/results/train/parabola/problem_4003.png b/results/train/parabola/problem_4003.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f544d97f548907b338ded850b31d5abe27b9b64
--- /dev/null
+++ b/results/train/parabola/problem_4003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af8439430527eed1ab4e1f561ec7e7e6c0a5cb16df8b199f0cf1f53dcb76d1ab
+size 173998
diff --git a/results/train/parabola/problem_4006.png b/results/train/parabola/problem_4006.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca19e1bfc549fa054b0817b7488de27c1b418ec7
--- /dev/null
+++ b/results/train/parabola/problem_4006.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cdec68364d01ac5b32b8337d2fa214d93f2ed9a4bb20f6dbc116db2a20e33711
+size 191738
diff --git a/results/train/parabola/problem_4008.png b/results/train/parabola/problem_4008.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0e1e10c18e22d9bd00a97c921d417e36106596c
--- /dev/null
+++ b/results/train/parabola/problem_4008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13fed716cd4c526d14ebda64816627c019e7385ba75e4b87c64d9b1637dc9d57
+size 201426
diff --git a/results/train/parabola/problem_4013.png b/results/train/parabola/problem_4013.png
new file mode 100644
index 0000000000000000000000000000000000000000..3947ba8125b5b015e6ca93f764b109d36b1b5129
--- /dev/null
+++ b/results/train/parabola/problem_4013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:825bfae3e41c33d1b1afd200e86a0b67276cd5859b94e5f99548e4f7d5be3b03
+size 191744
diff --git a/results/train/parabola/problem_4019.png b/results/train/parabola/problem_4019.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a27357730476b8289e1508d2ecfec70ee232f29
--- /dev/null
+++ b/results/train/parabola/problem_4019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d3ba3b287b8f21fd7d3b2af5b5deb09ec942f3078558a4107be43855549ab4e
+size 203960
diff --git a/results/train/parabola/problem_4021.png b/results/train/parabola/problem_4021.png
new file mode 100644
index 0000000000000000000000000000000000000000..a05cb76cc7f102647c6f236ad63d07aec0f3f316
--- /dev/null
+++ b/results/train/parabola/problem_4021.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bb917c703020f97e1ce4e09a1ecb24f9e812a45ce811f0162f618ea63546883
+size 188971
diff --git a/results/train/parabola/problem_4028.png b/results/train/parabola/problem_4028.png
new file mode 100644
index 0000000000000000000000000000000000000000..963bf09d862419640adb7b1c394f728e9ed3a0f9
--- /dev/null
+++ b/results/train/parabola/problem_4028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6d77869eef59f74335e9d41def8d70028a7ea0a53f35828f7d4737ee7b36ba6
+size 195878
diff --git a/results/train/parabola/problem_4031.png b/results/train/parabola/problem_4031.png
new file mode 100644
index 0000000000000000000000000000000000000000..aae58d5b898f76ed28063c59bc3d045836fe885b
--- /dev/null
+++ b/results/train/parabola/problem_4031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:81f1df500fa0bd56bda15a50da772f6dadfba92577d733fbee19ce175d0c4c4a
+size 204993
diff --git a/results/train/parabola/problem_4036.png b/results/train/parabola/problem_4036.png
new file mode 100644
index 0000000000000000000000000000000000000000..f9921448e053aae65493bcd29dee9f01de931dbb
--- /dev/null
+++ b/results/train/parabola/problem_4036.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46fb7c0c94828fcc0c7761a73e2f41d9398d2751e71733c803f920e4a4578304
+size 203538
diff --git a/results/train/parabola/problem_4039.png b/results/train/parabola/problem_4039.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb6e40f71578a561b177261a5783ca59c12741f0
--- /dev/null
+++ b/results/train/parabola/problem_4039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f75929dbf6b88a3c540314ece695bc02273f4a03ee35020551fe7f4ad757c42f
+size 196221
diff --git a/results/train/parabola/problem_4043.png b/results/train/parabola/problem_4043.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f3c46b2df58c07f4706178a9fdd882aa986a140
--- /dev/null
+++ b/results/train/parabola/problem_4043.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c59641e50e57b375b88e1edf68f7474e0833d50007587549dd2ba19e0b203f3
+size 187306
diff --git a/results/train/parabola/problem_4047.png b/results/train/parabola/problem_4047.png
new file mode 100644
index 0000000000000000000000000000000000000000..cad1879c25b0e7827fec666016b2feec328bc7ca
--- /dev/null
+++ b/results/train/parabola/problem_4047.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fc22beb539a9e104dac0bccf2ab0c5b952bb616f66faf48427971d26be96a47
+size 193769
diff --git a/results/train/parabola/problem_4055.png b/results/train/parabola/problem_4055.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a450782d36f22fc734a462ab1e5f359606803da
--- /dev/null
+++ b/results/train/parabola/problem_4055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb82174b15b860414cc099fd8349abfb4bc0ae4454f4660de6637616003d3951
+size 199350
diff --git a/results/train/parabola/problem_4060.png b/results/train/parabola/problem_4060.png
new file mode 100644
index 0000000000000000000000000000000000000000..2dcf1f204f1f3b9aef6047697f790a33d9ea788b
--- /dev/null
+++ b/results/train/parabola/problem_4060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69cd4018af5c7e00ec156991b55da2d34a60a4c69ec30e14f87cc64b45939104
+size 185435
diff --git a/results/train/parabola/problem_4066.png b/results/train/parabola/problem_4066.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9816413ea8a7ad6eff7c9d87a6e728e68302175
--- /dev/null
+++ b/results/train/parabola/problem_4066.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6722837f8580f7c93a66b4c6d4ab4476a1b6de0c890e5ae62d8aca04ffa020ff
+size 180535
diff --git a/results/train/parabola/problem_4067.png b/results/train/parabola/problem_4067.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd045366f3cb94d6f2407ec1f8e61587e5613d55
--- /dev/null
+++ b/results/train/parabola/problem_4067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f505263269bff3d9a51f4b51dc0c997f15893d82bfc02e814029a82fea3192a5
+size 188669
diff --git a/results/train/parabola/problem_4070.png b/results/train/parabola/problem_4070.png
new file mode 100644
index 0000000000000000000000000000000000000000..3227f2a0d2a4a66f79911ce69c97dc1864a7d148
--- /dev/null
+++ b/results/train/parabola/problem_4070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf47f256aa393ee7d9f4d5be24f810c81c470bcbbea5d1f917abf2fb5f78d8d3
+size 212557
diff --git a/results/train/parabola/problem_4073.png b/results/train/parabola/problem_4073.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a76fac0b0a3485abb17950cc0595658c38292c0
--- /dev/null
+++ b/results/train/parabola/problem_4073.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:53a790c0ce8e79707ece72bc07a0e30e7e90532f2c8788030b27eb9a601c03de
+size 181788
diff --git a/results/train/parabola/problem_4075.png b/results/train/parabola/problem_4075.png
new file mode 100644
index 0000000000000000000000000000000000000000..21e9b2c6ef0ba0463331af6c28bdebe23212553f
--- /dev/null
+++ b/results/train/parabola/problem_4075.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f4ddad29de184c8bce17d9e5b15b0eab70ff4f0a3c4393bb0fbb1a16ae38850
+size 174570
diff --git a/results/train/parabola/problem_4076.png b/results/train/parabola/problem_4076.png
new file mode 100644
index 0000000000000000000000000000000000000000..c554220c630073d2d22cdae0a93bc1f0d2e6cc76
--- /dev/null
+++ b/results/train/parabola/problem_4076.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9e2ef9c63beaf0f9bf8d1892a0afa82cc2f643598ca3c48d5dcfe580be93fb2
+size 188918
diff --git a/results/train/parabola/problem_4078.png b/results/train/parabola/problem_4078.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dd5448534944aa978da561c74aaf2fd8653f83e
--- /dev/null
+++ b/results/train/parabola/problem_4078.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44622586e3a567f75d14af047b04f53df696d9ef5253ac819f5df88daa45e0c9
+size 186993
diff --git a/results/train/parabola/problem_4079.png b/results/train/parabola/problem_4079.png
new file mode 100644
index 0000000000000000000000000000000000000000..de6ace3c9200d63bc879881dc3b2ead6c6e1fb71
--- /dev/null
+++ b/results/train/parabola/problem_4079.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ade224d8b647bf767efb5d03c35cb8a8b350f09ee4b52ed0bc814b80db3a8ac
+size 195887
diff --git a/results/train/parabola/problem_4080.png b/results/train/parabola/problem_4080.png
new file mode 100644
index 0000000000000000000000000000000000000000..60b14bdd1d06d1656b973943112e8a12629c7969
--- /dev/null
+++ b/results/train/parabola/problem_4080.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ad0669bac456a9177b404eeed4c3fdc622c4deef6bd55ab48b0e51f86668390
+size 189478
diff --git a/results/train/parabola/problem_4091.png b/results/train/parabola/problem_4091.png
new file mode 100644
index 0000000000000000000000000000000000000000..89f8131607d27c5be2d2af1320416308314fceb4
--- /dev/null
+++ b/results/train/parabola/problem_4091.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68992e6a70d9a904aa5ddc885cdba0c8304b4d5f54e37c85ed2c5fbc763906f1
+size 182911
diff --git a/results/train/parabola/problem_4106.png b/results/train/parabola/problem_4106.png
new file mode 100644
index 0000000000000000000000000000000000000000..b927d99f41fe8dd17f1209b1c05bf7fc5733aea1
--- /dev/null
+++ b/results/train/parabola/problem_4106.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c40623f7c3e645a56f332f4758773aa31d8881418c249b5dda411a891792e9c1
+size 192852
diff --git a/results/train/parabola/problem_4108.png b/results/train/parabola/problem_4108.png
new file mode 100644
index 0000000000000000000000000000000000000000..b264633d4005c07c890b61c48010181c017aa11f
--- /dev/null
+++ b/results/train/parabola/problem_4108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed4655b749b344e879aa939ce37b5c68812e0d6468821ea736e9ea6ba306d6c3
+size 196164
diff --git a/results/train/parabola/problem_4110.png b/results/train/parabola/problem_4110.png
new file mode 100644
index 0000000000000000000000000000000000000000..f3cde349b7f21004b3338ebdf0001ca61eedbdb9
--- /dev/null
+++ b/results/train/parabola/problem_4110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77bf1b1a7ec685b38f2c81bac33dc514b2ac789bbae64821ba7074c0c00b0b5f
+size 176583
diff --git a/results/train/parabola/problem_4113.png b/results/train/parabola/problem_4113.png
new file mode 100644
index 0000000000000000000000000000000000000000..409784e4919973e63c0cee340852708059087459
--- /dev/null
+++ b/results/train/parabola/problem_4113.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fd7e5f6db20d38597129e37b6d805d5c1a2a04e81626e41e88075d47d11b59e
+size 184198
diff --git a/results/train/parabola/problem_4118.png b/results/train/parabola/problem_4118.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b0d1d15166e44474723e521540c1fcf5e7e2f62
--- /dev/null
+++ b/results/train/parabola/problem_4118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06209636a0dd9e62d89df7603fe0470ea8a2077cd88dc351ab0bc2cda9bb9131
+size 193935
diff --git a/results/train/parabola/problem_4121.png b/results/train/parabola/problem_4121.png
new file mode 100644
index 0000000000000000000000000000000000000000..c7604b0a97cc69dd15dc9e6e1628f644c2799282
--- /dev/null
+++ b/results/train/parabola/problem_4121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9c359d9a7a3d53e57e3bae1b71499f4df77189d428f1682a39c708eb7560cd9
+size 199583
diff --git a/results/train/parabola/problem_4122.png b/results/train/parabola/problem_4122.png
new file mode 100644
index 0000000000000000000000000000000000000000..42da4f37286f7bda9a7cc0b9561540f6ce46f50d
--- /dev/null
+++ b/results/train/parabola/problem_4122.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d2a2172286a8a8a0991a875f16419ad9243bb691a287378513cbd890b6cb810
+size 194640
diff --git a/results/train/parabola/problem_4123.png b/results/train/parabola/problem_4123.png
new file mode 100644
index 0000000000000000000000000000000000000000..324dd09779ede88c5eae6ee188a28b404eb3d71e
--- /dev/null
+++ b/results/train/parabola/problem_4123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b2b8aade7bdc2d99dd5fa10208a572c81127846a926e0943ce167c2306eba685
+size 191004
diff --git a/results/train/parabola/problem_4130.png b/results/train/parabola/problem_4130.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e453683eac1c1bf48879b2b61fb4fd661010f9a
--- /dev/null
+++ b/results/train/parabola/problem_4130.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f7303ad259e27eae55f6e90b4f534c33dfe45d5aef5ab4c1bd8b506faebe469
+size 187057
diff --git a/results/train/parabola/problem_4134.png b/results/train/parabola/problem_4134.png
new file mode 100644
index 0000000000000000000000000000000000000000..1485e87742c40b30b40651360b4332f0027c3f18
--- /dev/null
+++ b/results/train/parabola/problem_4134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2de8d82a5186fbef8eb6900c20dd7b482bfba9768bedb8a64d28ca5c6f659cc2
+size 202800
diff --git a/results/train/parabola/problem_4135.png b/results/train/parabola/problem_4135.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e94ece2fe64f2e648c106bf4423a8b69ce23460
--- /dev/null
+++ b/results/train/parabola/problem_4135.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b528527d721cc6f4d07630e3d501bebf83cf291bd281b876d8d0a1cd7b0ea22f
+size 170720
diff --git a/results/train/parabola/problem_4142.png b/results/train/parabola/problem_4142.png
new file mode 100644
index 0000000000000000000000000000000000000000..b04f12c1b76d3c5da6d44d6745368ace62bec24c
--- /dev/null
+++ b/results/train/parabola/problem_4142.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c49e6c12424704d9963e6e01de3e84aa420fca8273488380ffad359af4c58af
+size 188368
diff --git a/results/train/parabola/problem_4145.png b/results/train/parabola/problem_4145.png
new file mode 100644
index 0000000000000000000000000000000000000000..03cc9180c4b6704734e3e50f119c0008d5add6b0
--- /dev/null
+++ b/results/train/parabola/problem_4145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b21233f282ddf8c744310b1ffb08a0a706ca8fae084b0ed6696c0e2694b719b
+size 189545
diff --git a/results/train/parabola/problem_4151.png b/results/train/parabola/problem_4151.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b27a3777883013245f5f80d0e23bfc00ede5114
--- /dev/null
+++ b/results/train/parabola/problem_4151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:20ffc0dfe73905aa83d18229bf6a8a605ba3fd847e6d88c6084063de28f458df
+size 189624
diff --git a/results/train/parabola/problem_4157.png b/results/train/parabola/problem_4157.png
new file mode 100644
index 0000000000000000000000000000000000000000..f6ca053bb9fadddcc89cf445b478a4d6569a7afc
--- /dev/null
+++ b/results/train/parabola/problem_4157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e4c57f857dc1dac228f87489222d03e33a07aa661431a243e9f9c25b80d71bf
+size 202229
diff --git a/results/train/parabola/problem_4159.png b/results/train/parabola/problem_4159.png
new file mode 100644
index 0000000000000000000000000000000000000000..ffead2c3981db7ce9ad6235334237d11f862dfe0
--- /dev/null
+++ b/results/train/parabola/problem_4159.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88875e3aa0208215d608512f4b017f59e5f94137f51e2e1e739f1c1c8152def8
+size 159187
diff --git a/results/train/parabola/problem_4161.png b/results/train/parabola/problem_4161.png
new file mode 100644
index 0000000000000000000000000000000000000000..35e0fa398f1da58a3b7e53a352082dfdc1836dc3
--- /dev/null
+++ b/results/train/parabola/problem_4161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18f489ea5973b6809b6cf874ac10f4dac8c2abf78a0af3c857c1a208881cd6aa
+size 188449
diff --git a/results/train/parabola/problem_4165.png b/results/train/parabola/problem_4165.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f21864ad8e13a3d022fed72769dd70a94be52a1
--- /dev/null
+++ b/results/train/parabola/problem_4165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46c56b2457648d4386f991d39edc1cd8bed7d1d947db846185afb9a5ad9852ea
+size 184873
diff --git a/results/train/parabola/problem_4167.png b/results/train/parabola/problem_4167.png
new file mode 100644
index 0000000000000000000000000000000000000000..36e7499bc571a19f68863cd9e1ea709d59ac0c17
--- /dev/null
+++ b/results/train/parabola/problem_4167.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:df0008faca577a4106a8c8f9dbe50ec5fead9f0340596e3b2fabbd01d7e1a486
+size 196263
diff --git a/results/train/parabola/problem_4173.png b/results/train/parabola/problem_4173.png
new file mode 100644
index 0000000000000000000000000000000000000000..24ea3992cfa5b17249b35943a4093dedbde2675e
--- /dev/null
+++ b/results/train/parabola/problem_4173.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6de5fc19149da0b171168b231fbf130dbd09b17d386f66af99bc01659fd2631
+size 191236
diff --git a/results/train/parabola/problem_4174.png b/results/train/parabola/problem_4174.png
new file mode 100644
index 0000000000000000000000000000000000000000..801322c092ac0ac44b26bf38b2f89b171ce6190c
--- /dev/null
+++ b/results/train/parabola/problem_4174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:12d9780102a01e2743f6aabab8ed48a9833c73b204c0d84f70c8f2c8891c9d21
+size 190096
diff --git a/results/train/parabola/problem_4176.png b/results/train/parabola/problem_4176.png
new file mode 100644
index 0000000000000000000000000000000000000000..c84b4216f6814e4b017bbed93959568914abdbc5
--- /dev/null
+++ b/results/train/parabola/problem_4176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5124b6d97c51ebb9ef32070dc2693e96e9c5dcf3df50b1f6144a23d01c41255b
+size 190766
diff --git a/results/train/parabola/problem_4178.png b/results/train/parabola/problem_4178.png
new file mode 100644
index 0000000000000000000000000000000000000000..40cf749119af889a81b8fbc682ac7b1a8a34d34a
--- /dev/null
+++ b/results/train/parabola/problem_4178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:529e9ae5b5055c2d315fcffda53379a2d7325620e13f0b2a36f343926039ea59
+size 188653
diff --git a/results/train/parabola/problem_4182.png b/results/train/parabola/problem_4182.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a3514a322e5b0cc3043d0d9e4bfff673bf2b105
--- /dev/null
+++ b/results/train/parabola/problem_4182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f97195fc4c0f21733fef4acca665efb57fef830449ad453c7d1925dafc8c3a3
+size 202385
diff --git a/results/train/parabola/problem_4183.png b/results/train/parabola/problem_4183.png
new file mode 100644
index 0000000000000000000000000000000000000000..387eefabc329f4ef3e51619a2ae4fc8e5f5df39c
--- /dev/null
+++ b/results/train/parabola/problem_4183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b094573e1892d16c2631eb8f971a89b70d1dcd4eccff5e5d9fb35dd8ab42f79
+size 182620
diff --git a/results/train/parabola/problem_4185.png b/results/train/parabola/problem_4185.png
new file mode 100644
index 0000000000000000000000000000000000000000..b073d7f6b8466e877b91cffab08b010f2dc53de6
--- /dev/null
+++ b/results/train/parabola/problem_4185.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8272fa0299ac390799099d0cfedfd7f6467fbd3fa0ae1a5629be03ba2b7b8092
+size 191221
diff --git a/results/train/parabola/problem_4192.png b/results/train/parabola/problem_4192.png
new file mode 100644
index 0000000000000000000000000000000000000000..aed6b9279d0da32389ec4b0126a85172db110514
--- /dev/null
+++ b/results/train/parabola/problem_4192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63d57ad5551943a6b8f211d1bc83dc0230f61f7ae70237669e23ac1041b8009a
+size 192157
diff --git a/results/train/parabola/problem_4198.png b/results/train/parabola/problem_4198.png
new file mode 100644
index 0000000000000000000000000000000000000000..bdfa710e399a9460819df5dad800b92307224bc3
--- /dev/null
+++ b/results/train/parabola/problem_4198.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6470ebb6c35920a5f5eab81f015d2b5b173508a85a9380e4dbe0dd33d356567
+size 195205
diff --git a/results/train/parabola/problem_4200.png b/results/train/parabola/problem_4200.png
new file mode 100644
index 0000000000000000000000000000000000000000..61a32dcd272765625d36724d729854b24eab69a4
--- /dev/null
+++ b/results/train/parabola/problem_4200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eda7cb06fab9fd5732695737f984480a1902c65f8af11da4921715bbe0c7c7e7
+size 185777
diff --git a/results/train/parabola/problem_4201.png b/results/train/parabola/problem_4201.png
new file mode 100644
index 0000000000000000000000000000000000000000..45e6e7ec0335c0fe4a7e096a33029e987f1750ae
--- /dev/null
+++ b/results/train/parabola/problem_4201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7252f18c4ef4e3bd632f20fbd04e6c8cc3cd37901e150f6dc85d1b04d9f83b1
+size 172540
diff --git a/results/train/parabola/problem_4202.png b/results/train/parabola/problem_4202.png
new file mode 100644
index 0000000000000000000000000000000000000000..0427e162435a43f2bd472fd6e73ce1e194426125
--- /dev/null
+++ b/results/train/parabola/problem_4202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38c29c9800920f7713e94627dc9f834fd76dd02d3e3466586a7abff12dcf7786
+size 212728
diff --git a/results/train/parabola/problem_4206.png b/results/train/parabola/problem_4206.png
new file mode 100644
index 0000000000000000000000000000000000000000..b72237d4c867c8e9e8bb2bd6bdf446ccd9c89c34
--- /dev/null
+++ b/results/train/parabola/problem_4206.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bbe322ab6866812fa0b249fbb370f17e63e684d8695689819c78a8e6dcb7e04c
+size 192991
diff --git a/results/train/parabola/problem_4210.png b/results/train/parabola/problem_4210.png
new file mode 100644
index 0000000000000000000000000000000000000000..58a6dd41184ea0288e57e7e31c7e70b7588a974c
--- /dev/null
+++ b/results/train/parabola/problem_4210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e623f8a1708c62a682c1bad20aff4e7be7b47e685b11b21db35837189a1a12f2
+size 182868
diff --git a/results/train/parabola/problem_4213.png b/results/train/parabola/problem_4213.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a309fa2dac8c838e4e272b8eb71d3a1a91289cd
--- /dev/null
+++ b/results/train/parabola/problem_4213.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:caec214d251b5446713cc24f73ee36a7a0ab3f198d17bd6421321b7bc7ec227b
+size 195579
diff --git a/results/train/parabola/problem_4215.png b/results/train/parabola/problem_4215.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5890497aff18a653f59435f8e34f6a4a5561dde
--- /dev/null
+++ b/results/train/parabola/problem_4215.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66dbe79a4e8d9c2b9f37219fa2aef74af9131bd4111d5e8b657b8e640a3ff2af
+size 192827
diff --git a/results/train/parabola/problem_4219.png b/results/train/parabola/problem_4219.png
new file mode 100644
index 0000000000000000000000000000000000000000..51b284d6f408c4c6b5018def8721557bfd6600f1
--- /dev/null
+++ b/results/train/parabola/problem_4219.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0137e5ee0c1e5757feb4981ef8896ac90646cc8a977491e8a3061de653539c0
+size 184092
diff --git a/results/train/parabola/problem_4220.png b/results/train/parabola/problem_4220.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab3ef37d7692754def5902871feae47d7ecf02e3
--- /dev/null
+++ b/results/train/parabola/problem_4220.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5486e33d35db8641495bab0917ee5e17e6129db1167bb84e4d5881895b2ba12
+size 184591
diff --git a/results/train/parabola/problem_4221.png b/results/train/parabola/problem_4221.png
new file mode 100644
index 0000000000000000000000000000000000000000..1af0737108a70483940ad9df3ca7415aaea1bade
--- /dev/null
+++ b/results/train/parabola/problem_4221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38ad6265fb4383f8e72cfc29baf22fa3a23824b361029b1a7f39d91c27752ba6
+size 188820
diff --git a/results/train/parabola/problem_4222.png b/results/train/parabola/problem_4222.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c70580ff03eb11cf7897203128ca74e13ddaad2
--- /dev/null
+++ b/results/train/parabola/problem_4222.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7381612fcb9885a2702b41fec41c2b3db512853ec116fd8807f9e8e363fa977a
+size 166726
diff --git a/results/train/parabola/problem_4224.png b/results/train/parabola/problem_4224.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b4090b82191368ff4139376be7b8e4b9774d4de
--- /dev/null
+++ b/results/train/parabola/problem_4224.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d273a1d96ff788bb0b2b22bf4f2eecc6cb74255e638d8c0a64daea0a99ddefb1
+size 188376
diff --git a/results/train/parabola/problem_4230.png b/results/train/parabola/problem_4230.png
new file mode 100644
index 0000000000000000000000000000000000000000..56c957a12bdad79c941fafaa6e3d48b0f9804532
--- /dev/null
+++ b/results/train/parabola/problem_4230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6df98e226ec181e7f00ddda4ea43d7be3b852133b4cdaae9683d11976e19e92f
+size 190600
diff --git a/results/train/parabola/problem_4235.png b/results/train/parabola/problem_4235.png
new file mode 100644
index 0000000000000000000000000000000000000000..19710240d68d8c1d6bb274dd715612bfc156d851
--- /dev/null
+++ b/results/train/parabola/problem_4235.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d10777797eb6510842feecc8b619c596b973246de11d96dc57e8f0dce472b24a
+size 185434
diff --git a/results/train/parabola/problem_4237.png b/results/train/parabola/problem_4237.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f7102bac711dc7327c01682a2d9226bc1508f97
--- /dev/null
+++ b/results/train/parabola/problem_4237.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5abb513a25abff064fc4d0f4a2e4d6f4ac905ad18c53fd0dbc0bafda5014e9d
+size 197259
diff --git a/results/train/parabola/problem_4239.png b/results/train/parabola/problem_4239.png
new file mode 100644
index 0000000000000000000000000000000000000000..d49638126f5e1b3a9844869a84ec72cfafa99278
--- /dev/null
+++ b/results/train/parabola/problem_4239.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6af62514c4906f41fde3fd2319c80cc941355913aa9c8bc678bf7683a846fb1
+size 197742
diff --git a/results/train/parabola/problem_4250.png b/results/train/parabola/problem_4250.png
new file mode 100644
index 0000000000000000000000000000000000000000..124aacb4b284db64acc7c14bc5ac50ba0f65b47f
--- /dev/null
+++ b/results/train/parabola/problem_4250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:653ffed56ef4ea21bc888e2f0646f1bb41e0b7be0fd12262cc88de0e086048e8
+size 196981
diff --git a/results/train/parabola/problem_4253.png b/results/train/parabola/problem_4253.png
new file mode 100644
index 0000000000000000000000000000000000000000..b83cdead07c80c808b8eb219d44f7aef04f6631a
--- /dev/null
+++ b/results/train/parabola/problem_4253.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f33d40fda1f7b74e44c38cbeedb0931018e2170ad2c83550d55d8ecc94038f9c
+size 190719
diff --git a/results/train/parabola/problem_4255.png b/results/train/parabola/problem_4255.png
new file mode 100644
index 0000000000000000000000000000000000000000..71e7c3743f484b5f6394e5785b71dbc890c55415
--- /dev/null
+++ b/results/train/parabola/problem_4255.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6981784273f38d6c32dca4fe548b91a76ab953689b5e1108b773ed061e7e12a6
+size 200964
diff --git a/results/train/parabola/problem_4264.png b/results/train/parabola/problem_4264.png
new file mode 100644
index 0000000000000000000000000000000000000000..303ea0fd5c6ec80044139f41f84ae743e1ce488e
--- /dev/null
+++ b/results/train/parabola/problem_4264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4355ed2a516a40ec7a0a78c72f5085edd65dc57d9963eccca691e14310b5ab02
+size 191497
diff --git a/results/train/parabola/problem_4268.png b/results/train/parabola/problem_4268.png
new file mode 100644
index 0000000000000000000000000000000000000000..80567e62f169743bf25cd03a81b7895c083962c4
--- /dev/null
+++ b/results/train/parabola/problem_4268.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9441542c3668cb0619bfa3fb0fd9ef28e65668b231dd2a73829ba069c948b828
+size 194222
diff --git a/results/train/parabola/problem_4279.png b/results/train/parabola/problem_4279.png
new file mode 100644
index 0000000000000000000000000000000000000000..58c30fd23e2d2cfffedfa3d811c9eceaab689e47
--- /dev/null
+++ b/results/train/parabola/problem_4279.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8baa7062688553217c52195c80105a205d4568f0ae161d886545da6a1951e595
+size 185912
diff --git a/results/train/parabola/problem_4281.png b/results/train/parabola/problem_4281.png
new file mode 100644
index 0000000000000000000000000000000000000000..46d443bb88559af40a5faabe6fb4edcb6d4d7dbe
--- /dev/null
+++ b/results/train/parabola/problem_4281.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac677af2d65fd169fdf9bdf7f7b80ee10e4b5b53006cfaafe5feeb79679ecb55
+size 190565
diff --git a/results/train/parabola/problem_4286.png b/results/train/parabola/problem_4286.png
new file mode 100644
index 0000000000000000000000000000000000000000..814c801b997aacd94bae4402eb41345431b6bdae
--- /dev/null
+++ b/results/train/parabola/problem_4286.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab6050f2e494c590e21b2ff1a0d7c6ee4b48f8e1f794747c12a22df44871c169
+size 202919
diff --git a/results/train/parabola/problem_4293.png b/results/train/parabola/problem_4293.png
new file mode 100644
index 0000000000000000000000000000000000000000..f243fee484912ae85c9e49c7b82d7300be612456
--- /dev/null
+++ b/results/train/parabola/problem_4293.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23f59897f8f948483aec6cf7788fd2b5b6cff04c03f2b83ab8ab337d9b79fc66
+size 186563
diff --git a/results/train/parabola/problem_4296.png b/results/train/parabola/problem_4296.png
new file mode 100644
index 0000000000000000000000000000000000000000..d5f37040e0bf5992f8678b5d2597ce7324522dc5
--- /dev/null
+++ b/results/train/parabola/problem_4296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c8a155df9c14c01b740a861b08af811c538294df484aaa39991008e64b37994
+size 195656
diff --git a/results/train/parabola/problem_4298.png b/results/train/parabola/problem_4298.png
new file mode 100644
index 0000000000000000000000000000000000000000..3aa21a628b5ed1303f0dd9515818131c6a1bf4bf
--- /dev/null
+++ b/results/train/parabola/problem_4298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:891e2b72cf3effe2ce7cea55bbc9b5e4bf385337435866f5b7155c8dfa372015
+size 189297
diff --git a/results/train/parabola/problem_4300.png b/results/train/parabola/problem_4300.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d41dbf39267731ab3af07eb39a405ec15cf5bad
--- /dev/null
+++ b/results/train/parabola/problem_4300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b033524683747b7b02171719fed623f12daa8b530b076784dd6f6f11af96f11d
+size 187528
diff --git a/results/train/parabola/problem_4307.png b/results/train/parabola/problem_4307.png
new file mode 100644
index 0000000000000000000000000000000000000000..d20b64738625880cd26b687633af1e0f91049665
--- /dev/null
+++ b/results/train/parabola/problem_4307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eaa81e12fbc21c3c0a67bea221756a8615e196400a63779cefe95dc09c2ac179
+size 206416
diff --git a/results/train/parabola/problem_4308.png b/results/train/parabola/problem_4308.png
new file mode 100644
index 0000000000000000000000000000000000000000..3cfe1482daa022efe86382c31481c210b1192d1f
--- /dev/null
+++ b/results/train/parabola/problem_4308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1d6f6519c516cffd787487476d2883bf5c5f6a22174c38f4ee5ec9691bd05df
+size 205985
diff --git a/results/train/parabola/problem_4310.png b/results/train/parabola/problem_4310.png
new file mode 100644
index 0000000000000000000000000000000000000000..8faba31fe248b4ba1a49664fd14aa427ee0e5d8c
--- /dev/null
+++ b/results/train/parabola/problem_4310.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d9f15f456106c4d3e7bb7617c0035412feb0c3d748e9a33f101d4e7ed54c2d8
+size 184087
diff --git a/results/train/parabola/problem_4315.png b/results/train/parabola/problem_4315.png
new file mode 100644
index 0000000000000000000000000000000000000000..66930952b0492fb0093a3377d802dc5a0ef75fe3
--- /dev/null
+++ b/results/train/parabola/problem_4315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b42fe3d33e517f3d654c459d3eb1e17a0deffdb701686b806d7b1cf2c38d78a1
+size 180577
diff --git a/results/train/parabola/problem_4317.png b/results/train/parabola/problem_4317.png
new file mode 100644
index 0000000000000000000000000000000000000000..39350397d1ce1b2ee2a56974f99454d16ab60688
--- /dev/null
+++ b/results/train/parabola/problem_4317.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8f636563110cad3746f1d00d6062ab6c1f6332ce85ebe8ddd2489e9352c1fea
+size 189243
diff --git a/results/train/parabola/problem_4320.png b/results/train/parabola/problem_4320.png
new file mode 100644
index 0000000000000000000000000000000000000000..061f603c887bc041aace9831898ced1659c12862
--- /dev/null
+++ b/results/train/parabola/problem_4320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aae82550c7ef55c04a95cc149f2027a89dfdf7dc92c67dfaeba8ee8150dc97e8
+size 175098
diff --git a/results/train/parabola/problem_4322.png b/results/train/parabola/problem_4322.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ec7824c28c24527f1627e8ba5fc987e8a023bfd
--- /dev/null
+++ b/results/train/parabola/problem_4322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:723e672e7e472df5567b07012c0da5eaf6db695de9fc9df66379f34bc0f5ef7e
+size 189475
diff --git a/results/train/parabola/problem_4323.png b/results/train/parabola/problem_4323.png
new file mode 100644
index 0000000000000000000000000000000000000000..be7765be5c1eac49fa395f3a2c819b7e78fa7302
--- /dev/null
+++ b/results/train/parabola/problem_4323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8040a3e924f12fb13e62b311f12f716b8e549e5fa185b4f8670020841e31a484
+size 200210
diff --git a/results/train/parabola/problem_4330.png b/results/train/parabola/problem_4330.png
new file mode 100644
index 0000000000000000000000000000000000000000..603b8bcb9352d2ef5174ee38cc6768f2aa83aa53
--- /dev/null
+++ b/results/train/parabola/problem_4330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a0913670b17a1b954571082bd4ed51cf6ae43a4893f6076a4b0da7a2709767a
+size 189756
diff --git a/results/train/parabola/problem_4333.png b/results/train/parabola/problem_4333.png
new file mode 100644
index 0000000000000000000000000000000000000000..71c64ddb414eed47df3d40bddad7719a51aaf7e9
--- /dev/null
+++ b/results/train/parabola/problem_4333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79015d8897e9e179d68492717d3f0e41d13694a70eb317d244e28152b10080a2
+size 204065
diff --git a/results/train/parabola/problem_4334.png b/results/train/parabola/problem_4334.png
new file mode 100644
index 0000000000000000000000000000000000000000..445bac75596f32541ad8a5caac64555fcc6b547b
--- /dev/null
+++ b/results/train/parabola/problem_4334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0735f7b3b874b963b936dbf5bdfd41cc1bd9d55a2d93a49134e5bcb3bd534f7
+size 197363
diff --git a/results/train/parabola/problem_4338.png b/results/train/parabola/problem_4338.png
new file mode 100644
index 0000000000000000000000000000000000000000..5663c46f47cf52f85201e8a56be3c27300f30cff
--- /dev/null
+++ b/results/train/parabola/problem_4338.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddbbcbf826461b4ea84d936de65b35b6821645b385d923ba95d1a863c91bac24
+size 191746
diff --git a/results/train/parabola/problem_4344.png b/results/train/parabola/problem_4344.png
new file mode 100644
index 0000000000000000000000000000000000000000..6fad7b66d56af7ac1f13e3d1ab49a86ff2752b56
--- /dev/null
+++ b/results/train/parabola/problem_4344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f140d580431348d6d9f4090feac08bce96daa6ef2536ebc32301fcfdab4f168d
+size 183104
diff --git a/results/train/parabola/problem_4349.png b/results/train/parabola/problem_4349.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b9cf0056c9c75b800184103f813ca8634111add
--- /dev/null
+++ b/results/train/parabola/problem_4349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3ff602af015d2ad88ab67de36eddf31772b493466ebac6a66a4dff15d084c71
+size 193723
diff --git a/results/train/parabola/problem_4352.png b/results/train/parabola/problem_4352.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9f96892245a7f51fe728d66fc7f6234068b471d
--- /dev/null
+++ b/results/train/parabola/problem_4352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c86cc103f0390b886de3232123289ff402ae0f69d5c14788416ae769fb59105
+size 187981
diff --git a/results/train/parabola/problem_4353.png b/results/train/parabola/problem_4353.png
new file mode 100644
index 0000000000000000000000000000000000000000..d918e449ba779e641e570955789b2db0814458f1
--- /dev/null
+++ b/results/train/parabola/problem_4353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce848955fd7b6d602d0a43613b74f81604d51224237922505c1dc2460e4e651f
+size 189358
diff --git a/results/train/parabola/problem_4367.png b/results/train/parabola/problem_4367.png
new file mode 100644
index 0000000000000000000000000000000000000000..2692e02937cf1f1d8d14720ae71431d1e574d036
--- /dev/null
+++ b/results/train/parabola/problem_4367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3c983e9f87793ab053b21ca32f73dfbbed4a1cfc41178b511fe165d87919b760
+size 185123
diff --git a/results/train/parabola/problem_4369.png b/results/train/parabola/problem_4369.png
new file mode 100644
index 0000000000000000000000000000000000000000..23bab001893e0a5a09d9c40dcf84b5839162cc32
--- /dev/null
+++ b/results/train/parabola/problem_4369.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ca5d52d8bdb26358874d6125846e488130392d97c6167ab0a427e2ebd648469
+size 193643
diff --git a/results/train/parabola/problem_4372.png b/results/train/parabola/problem_4372.png
new file mode 100644
index 0000000000000000000000000000000000000000..8938d19bc2c926a83621d283fb80fdec8a99e34c
--- /dev/null
+++ b/results/train/parabola/problem_4372.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbbf60f325f71bb0b35e7b3c1bc465887b2f2917153849e5033d0634151a47b8
+size 186298
diff --git a/results/train/parabola/problem_4379.png b/results/train/parabola/problem_4379.png
new file mode 100644
index 0000000000000000000000000000000000000000..72cf7572a8241d205b6e8fd80668fa6dba81b204
--- /dev/null
+++ b/results/train/parabola/problem_4379.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7baba7fed7bc1f555db91e85d12d5a7ec9931718f1393556037df8d9f49d2b5f
+size 192240
diff --git a/results/train/parabola/problem_4386.png b/results/train/parabola/problem_4386.png
new file mode 100644
index 0000000000000000000000000000000000000000..4830eda40b7b226daa334c87076513c4c26575b3
--- /dev/null
+++ b/results/train/parabola/problem_4386.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25770dfa467bacd3c64b9ff01dc132f677cadf17445b81133483692837831a64
+size 200730
diff --git a/results/train/parabola/problem_4390.png b/results/train/parabola/problem_4390.png
new file mode 100644
index 0000000000000000000000000000000000000000..9d1b5f52118bc7d6d7018cd5d630f54c2f5dd4f1
--- /dev/null
+++ b/results/train/parabola/problem_4390.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:856c842c37035614cf16f94254385121212a11623f7debb32d8019415b2f4946
+size 197077
diff --git a/results/train/parabola/problem_4391.png b/results/train/parabola/problem_4391.png
new file mode 100644
index 0000000000000000000000000000000000000000..92ff7a378b8628ac94c51beb464c17a7fcdcda0b
--- /dev/null
+++ b/results/train/parabola/problem_4391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1db35ce89382f94d7eb0554d42ea438ef18a10f53efc25ec3690729f30c77ba
+size 185565
diff --git a/results/train/parabola/problem_4392.png b/results/train/parabola/problem_4392.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a3ccd6408cf3b7fb49e3a56ad9b32ecbe79f1a7
--- /dev/null
+++ b/results/train/parabola/problem_4392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e62c248722ec92a1ab2367911eca9444a0ce2dd4af188dc42827783d4244a30b
+size 192541
diff --git a/results/train/parabola/problem_4393.png b/results/train/parabola/problem_4393.png
new file mode 100644
index 0000000000000000000000000000000000000000..799bbef24e03199d6b1667153f9afba8aefec136
--- /dev/null
+++ b/results/train/parabola/problem_4393.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8d68bccd3fadc907add87be10f7fa272b7208373cad89e4253c781005a0e72b
+size 194844
diff --git a/results/train/parabola/problem_4397.png b/results/train/parabola/problem_4397.png
new file mode 100644
index 0000000000000000000000000000000000000000..9beb226514c77dcdd523f35ca76dc5c84590300d
--- /dev/null
+++ b/results/train/parabola/problem_4397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85eafa369456377b1560978325a3e344b962fce33f729ee58ecdb14c30a06361
+size 189412
diff --git a/results/train/parabola/problem_4399.png b/results/train/parabola/problem_4399.png
new file mode 100644
index 0000000000000000000000000000000000000000..2014b634f32307472a870b6c6c24d78ee801e029
--- /dev/null
+++ b/results/train/parabola/problem_4399.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f24c278b77519b222cb09686d324596f66a5515e1c8c1a17f5dee1d37221c958
+size 187679
diff --git a/results/train/parabola/problem_4401.png b/results/train/parabola/problem_4401.png
new file mode 100644
index 0000000000000000000000000000000000000000..21d01fb23262f13cef555b4762e01eebbc3f940e
--- /dev/null
+++ b/results/train/parabola/problem_4401.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:703e6f52db3c38976dda25e8ec0f07e22c154bce56e622676214f723fb0d30d5
+size 184989
diff --git a/results/train/parabola/problem_4404.png b/results/train/parabola/problem_4404.png
new file mode 100644
index 0000000000000000000000000000000000000000..e446870df2f21f3af3b431a669e42a409b9928ce
--- /dev/null
+++ b/results/train/parabola/problem_4404.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bcfb67d944852ebeda161360719a23bdd9b59f877de8da26030990ddb958b7f
+size 199393
diff --git a/results/train/parabola/problem_4407.png b/results/train/parabola/problem_4407.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f4faf35b075287ace23adb0613a0a959208bc7b
--- /dev/null
+++ b/results/train/parabola/problem_4407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:478f3db239e1d1a80f701e0383fd2ebd7bbba269326ba3b074beab823d7bd2b9
+size 183526
diff --git a/results/train/parabola/problem_4413.png b/results/train/parabola/problem_4413.png
new file mode 100644
index 0000000000000000000000000000000000000000..492f3c2f2e5226de83d66f3fb04612fe8633fe55
--- /dev/null
+++ b/results/train/parabola/problem_4413.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d2c95a44fddd1c5648c1bb47f318c495fbb7f32fb924d06fed4200f91db1c9c
+size 189564
diff --git a/results/train/parabola/problem_4414.png b/results/train/parabola/problem_4414.png
new file mode 100644
index 0000000000000000000000000000000000000000..bf5ff1102ece84287555b8de4fb09b1d17b0b129
--- /dev/null
+++ b/results/train/parabola/problem_4414.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cbb7a13bed5027cb27cd548a3faa502b697db5206b809434837ad8824f150bf
+size 208012
diff --git a/results/train/parabola/problem_4418.png b/results/train/parabola/problem_4418.png
new file mode 100644
index 0000000000000000000000000000000000000000..d036492a3afd52968dba9de88c1cf51f8be0641e
--- /dev/null
+++ b/results/train/parabola/problem_4418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10be3ca62af3dbe47240eff179c1957c18b56e1e214447f3ab7bf092908cb342
+size 181243
diff --git a/results/train/parabola/problem_4434.png b/results/train/parabola/problem_4434.png
new file mode 100644
index 0000000000000000000000000000000000000000..efd3d6110ea7e51d6eff496b04fcceaad364e66d
--- /dev/null
+++ b/results/train/parabola/problem_4434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02774b5b1a826c8f5cf69dd8ef41336f91dedadfd7e418604699048abe348d53
+size 187036
diff --git a/results/train/parabola/problem_4437.png b/results/train/parabola/problem_4437.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d29ea1b0e13b182a21a1e12cebcafeb2c6edd68
--- /dev/null
+++ b/results/train/parabola/problem_4437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32429b3837a03244fcd2e3f2815ab08035a39f7fc865e0917f4fb2854fa7aec8
+size 189330
diff --git a/results/train/parabola/problem_4448.png b/results/train/parabola/problem_4448.png
new file mode 100644
index 0000000000000000000000000000000000000000..98e0a1d9ee966c4d62b3e66c768f6bcc4986dd1b
--- /dev/null
+++ b/results/train/parabola/problem_4448.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:163e7dfe7b55576e88e8febb95be44903f8ac8204352a6908d078c56e4cc1356
+size 195662
diff --git a/results/train/parabola/problem_4455.png b/results/train/parabola/problem_4455.png
new file mode 100644
index 0000000000000000000000000000000000000000..b50106720cef15f0262b05385bd0861ee6c871e0
--- /dev/null
+++ b/results/train/parabola/problem_4455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a508fb7f88dfd3cca8c4def1a3e3813a00ff8e3fc954882822fef87829f57a3
+size 166906
diff --git a/results/train/parabola/problem_4457.png b/results/train/parabola/problem_4457.png
new file mode 100644
index 0000000000000000000000000000000000000000..0abfcff4bf65b4175d2934327c5521b2bb8e8795
--- /dev/null
+++ b/results/train/parabola/problem_4457.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8723848c201593e47196cbe72c8592016e6a5d49264fb688cbcca9dd77d66c08
+size 198885
diff --git a/results/train/parabola/problem_4461.png b/results/train/parabola/problem_4461.png
new file mode 100644
index 0000000000000000000000000000000000000000..10f163eb95f53e410a0cd7dae727890b9693149d
--- /dev/null
+++ b/results/train/parabola/problem_4461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b2033dd4da45447c758b0acafbe18297a71736a43ee60f782ca4671790f002a
+size 190588
diff --git a/results/train/parabola/problem_4465.png b/results/train/parabola/problem_4465.png
new file mode 100644
index 0000000000000000000000000000000000000000..956358ce9dcc13a034f34d2e5d03cca3e4324b98
--- /dev/null
+++ b/results/train/parabola/problem_4465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:404f474578123e1f026b2bf9f3454d17c90d5185e7ee3d9e904dc0144b2df7e7
+size 194636
diff --git a/results/train/parabola/problem_4467.png b/results/train/parabola/problem_4467.png
new file mode 100644
index 0000000000000000000000000000000000000000..d36bbf611c3b09b23eabcf77d0f5bc7181823c5c
--- /dev/null
+++ b/results/train/parabola/problem_4467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a727c548325ec7ff52eca259de3b315d80ed68985c0e44e9186e7a9778386d7
+size 186916
diff --git a/results/train/parabola/problem_4468.png b/results/train/parabola/problem_4468.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b46fade200e1595222e288c2ea7b107fae82043
--- /dev/null
+++ b/results/train/parabola/problem_4468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e638d420d48cf08445ed791d19898ecc0c3d35942c64a8f5a7b91f1785224319
+size 188149
diff --git a/results/train/parabola/problem_4469.png b/results/train/parabola/problem_4469.png
new file mode 100644
index 0000000000000000000000000000000000000000..b439d23b5f0c591abe160f6bfe63d852924fbb80
--- /dev/null
+++ b/results/train/parabola/problem_4469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11be1d2fb3c5960581281079b562ed7656c8b832ef2f717bcd68e14c96687ecd
+size 195439
diff --git a/results/train/parabola/problem_4476.png b/results/train/parabola/problem_4476.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c69b289553aec6ae899c0465deb2c6d1429fd88
--- /dev/null
+++ b/results/train/parabola/problem_4476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b447c2076594207c24fd4426a2dc4248041c7ffd51ef474a754cfec9dcedbad
+size 196447
diff --git a/results/train/parabola/problem_4479.png b/results/train/parabola/problem_4479.png
new file mode 100644
index 0000000000000000000000000000000000000000..c58115c40e253d4b5e6ce378c7729cb2341af8db
--- /dev/null
+++ b/results/train/parabola/problem_4479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d664810cb7eb3ed254ba34646954eed066724e777c349c58e0e6c0def136a65
+size 192366
diff --git a/results/train/parabola/problem_4482.png b/results/train/parabola/problem_4482.png
new file mode 100644
index 0000000000000000000000000000000000000000..477998507c8cbc180a120fefd2da2c1b8f839bef
--- /dev/null
+++ b/results/train/parabola/problem_4482.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5de6024fd1ce86e7e4ae17caacb403431589142a5ef400e62dd20979853434c3
+size 209248
diff --git a/results/train/parabola/problem_4483.png b/results/train/parabola/problem_4483.png
new file mode 100644
index 0000000000000000000000000000000000000000..c75334b4ee45af3352091c7a804b7f80ddd97cd7
--- /dev/null
+++ b/results/train/parabola/problem_4483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ed3a46142da0e69a43ede0bc75a69d9125a058aedeae2a1d453868c5d74b3987
+size 187453
diff --git a/results/train/parabola/problem_4484.png b/results/train/parabola/problem_4484.png
new file mode 100644
index 0000000000000000000000000000000000000000..114d118735143212a9afcb97d8c69fb1abf00544
--- /dev/null
+++ b/results/train/parabola/problem_4484.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa183defae4a4007518126b1114124a73c612903905bc0fe43f5e9e7e390e1cc
+size 189237
diff --git a/results/train/parabola/problem_4489.png b/results/train/parabola/problem_4489.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdabceb36ee9fb34982ad73b433ac4f787b06ac8
--- /dev/null
+++ b/results/train/parabola/problem_4489.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cdadd637710c62abf5cfb53d288265c4152a5032772880c38bac7f6e9a2f8c88
+size 204608
diff --git a/results/train/parabola/problem_4492.png b/results/train/parabola/problem_4492.png
new file mode 100644
index 0000000000000000000000000000000000000000..5440b342ee1052f94f7153c766ddbdd2598294bf
--- /dev/null
+++ b/results/train/parabola/problem_4492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0370422bcfec6e10942f7488d53aa0e18c2f06ba1f13764a14f6a423a50cad2
+size 187399
diff --git a/results/train/parabola/problem_4500.png b/results/train/parabola/problem_4500.png
new file mode 100644
index 0000000000000000000000000000000000000000..989aff1fe34ba81888740019239233b7cf5100a9
--- /dev/null
+++ b/results/train/parabola/problem_4500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc0f5e8894621782c6f521423767ca34d678720872593788d62869021ea29dbe
+size 195878
diff --git a/results/train/parabola/problem_4501.png b/results/train/parabola/problem_4501.png
new file mode 100644
index 0000000000000000000000000000000000000000..00b7cc70339eb12279f4e944c0450bfb9263b4e2
--- /dev/null
+++ b/results/train/parabola/problem_4501.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2a686d44072c28fb48d667924645449411c6eb77c2538a01d23b254e368fdcac
+size 196116
diff --git a/results/train/parabola/problem_4502.png b/results/train/parabola/problem_4502.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fc5dfbd9aa8f9dc1a636b78df61b0b0de6912d1
--- /dev/null
+++ b/results/train/parabola/problem_4502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07555f0d76c6fc6a32c8d1743a78907989711a487a0984e03299c79716f251cf
+size 204156
diff --git a/results/train/parabola/problem_4506.png b/results/train/parabola/problem_4506.png
new file mode 100644
index 0000000000000000000000000000000000000000..b01b88c74c8edde1253c1f0cec80ff313a669016
--- /dev/null
+++ b/results/train/parabola/problem_4506.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e0b61d5c76839af5432c4b534c5b1673db2682cf747270e3c319ab57cd42c4d
+size 198817
diff --git a/results/train/parabola/problem_4508.png b/results/train/parabola/problem_4508.png
new file mode 100644
index 0000000000000000000000000000000000000000..0461b5c55015900deac2add1fd26a6de18d0ab73
--- /dev/null
+++ b/results/train/parabola/problem_4508.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca7aa3f015c2d4593786a8c7360013d7fc6764108f903b0ce7272954926c8e0c
+size 188389
diff --git a/results/train/parabola/problem_4509.png b/results/train/parabola/problem_4509.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b93c371c30373d345e771a9fd233746213935af
--- /dev/null
+++ b/results/train/parabola/problem_4509.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e4b9683a5b83d4c78ea97b94bff2c05fae5342dc1341a7170691ee61a4035da
+size 195745
diff --git a/results/train/parabola/problem_4511.png b/results/train/parabola/problem_4511.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c5c5afde89ee66713218d82a77d8f54942a59d9
--- /dev/null
+++ b/results/train/parabola/problem_4511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:78b919a7b2e4661dd872ea474404f5d34df04ff7e33c7d3725657330964793d0
+size 194437
diff --git a/results/train/parabola/problem_4514.png b/results/train/parabola/problem_4514.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc5d3a49efc4232f9717b45025aa78fea30bdef6
--- /dev/null
+++ b/results/train/parabola/problem_4514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afa7a966f3558ac5d660a13f2af81a66c822347290cb249376b484b2094af4af
+size 202838
diff --git a/results/train/parabola/problem_4515.png b/results/train/parabola/problem_4515.png
new file mode 100644
index 0000000000000000000000000000000000000000..193792e8a4cd58e3a8a57697ba82142b2675d6eb
--- /dev/null
+++ b/results/train/parabola/problem_4515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:607e3ff7564a8394c4040d42da735c75fe0633c1f4613d1728155999c6dc76ed
+size 182207
diff --git a/results/train/parabola/problem_4517.png b/results/train/parabola/problem_4517.png
new file mode 100644
index 0000000000000000000000000000000000000000..037d86beac896f252860c72953df28c3a7eb1a5d
--- /dev/null
+++ b/results/train/parabola/problem_4517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9db78db6af85b32e071b1d3c9511f2d31d08187d5bbfd8c3e7e45f5a9e589ae
+size 170618
diff --git a/results/train/parabola/problem_4518.png b/results/train/parabola/problem_4518.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1ab195eb27d94520ce7543939f032d5afd365ec
--- /dev/null
+++ b/results/train/parabola/problem_4518.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:42eadc7a9bd08d04ff5bac6283a983c28b22d2ad4fd4f8e68446f792391b34b2
+size 198761
diff --git a/results/train/parabola/problem_4526.png b/results/train/parabola/problem_4526.png
new file mode 100644
index 0000000000000000000000000000000000000000..76a3da8b9c07808c9d99630deb98c37f7de29df6
--- /dev/null
+++ b/results/train/parabola/problem_4526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4303dd4a33ba5c3be84d9b4159ae090366da457126a301ecc324c3c3b9de4340
+size 201504
diff --git a/results/train/parabola/problem_4528.png b/results/train/parabola/problem_4528.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac96016fe48c3c26abde1f34455c58af41e2bad6
--- /dev/null
+++ b/results/train/parabola/problem_4528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60d4fea15e919f2b0a1b12162c6fd62223cf25ecfeb8a5d27ae82b980d4e93bd
+size 187652
diff --git a/results/train/parabola/problem_4529.png b/results/train/parabola/problem_4529.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2d721053338038788cc92b9e76228c5472cbd85
--- /dev/null
+++ b/results/train/parabola/problem_4529.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d5e7e271d71b11f433d4de0ec5f279cfa2f4ca138425041ab716a50776069e3
+size 198625
diff --git a/results/train/parabola/problem_4532.png b/results/train/parabola/problem_4532.png
new file mode 100644
index 0000000000000000000000000000000000000000..c85f0b681c256c24995df9d9d2e8083958f18741
--- /dev/null
+++ b/results/train/parabola/problem_4532.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9bfe9475fad5d214cbf0bd6456afd5f4cca64cab943446459dc6bb418f092810
+size 190256
diff --git a/results/train/parabola/problem_4537.png b/results/train/parabola/problem_4537.png
new file mode 100644
index 0000000000000000000000000000000000000000..113145f6daca4fb6a17433010fa2259f039236ab
--- /dev/null
+++ b/results/train/parabola/problem_4537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97b34f063558f925df917b7cb57e03a7d184382a30be38a02cc91ee2afbdb5b9
+size 189875
diff --git a/results/train/parabola/problem_4541.png b/results/train/parabola/problem_4541.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a9c467b8463a1bfc5a3f57ce89694df78e29488
--- /dev/null
+++ b/results/train/parabola/problem_4541.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f53080b9a5acddfe572126c50aee5c40f5af425e0b4e40c01f1262cf1edbf4b6
+size 207286
diff --git a/results/train/parabola/problem_4543.png b/results/train/parabola/problem_4543.png
new file mode 100644
index 0000000000000000000000000000000000000000..66c9130b91a78eb2613d854faec6ec47ba05685e
--- /dev/null
+++ b/results/train/parabola/problem_4543.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:28c415df61ff8703952a7edc6828a3aa16af6612a77c7f6ac295cdc593a9c077
+size 209835
diff --git a/results/train/parabola/problem_4544.png b/results/train/parabola/problem_4544.png
new file mode 100644
index 0000000000000000000000000000000000000000..88c060ce068bd14690e5e8eb72a4b1f5d3ff8b10
--- /dev/null
+++ b/results/train/parabola/problem_4544.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:306cc9b32e347f6583ae05a0cb27f8b0a792713b4eb6a9388b9da75e7f66d9d3
+size 184367
diff --git a/results/train/parabola/problem_4549.png b/results/train/parabola/problem_4549.png
new file mode 100644
index 0000000000000000000000000000000000000000..79ba8b695698f5e981f653625ae3eadd24fd5b37
--- /dev/null
+++ b/results/train/parabola/problem_4549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:069c4e9f874ae6722d3d7a534154205f891408b0adc8b3372096d813f7ee92ea
+size 201518
diff --git a/results/train/parabola/problem_4550.png b/results/train/parabola/problem_4550.png
new file mode 100644
index 0000000000000000000000000000000000000000..52374ab2fec0317b2ebbf980f390ee589c688fef
--- /dev/null
+++ b/results/train/parabola/problem_4550.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:857072b3a74de4dd28dcc491db4f0d5605f4fbe241a101d5b9c866291391744c
+size 171832
diff --git a/results/train/parabola/problem_4562.png b/results/train/parabola/problem_4562.png
new file mode 100644
index 0000000000000000000000000000000000000000..01f9f0e80bc17eefe92da0c613e188b4c4c1eae2
--- /dev/null
+++ b/results/train/parabola/problem_4562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2984173748d683db7fe4cdec3c4b84ea811055d2ed4e925cf93c8e2745626cb0
+size 186646
diff --git a/results/train/parabola/problem_4581.png b/results/train/parabola/problem_4581.png
new file mode 100644
index 0000000000000000000000000000000000000000..0164ada30292e83678bc918e7383dae6d1928174
--- /dev/null
+++ b/results/train/parabola/problem_4581.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d2fcd049c39e78721d20b0f1f99a337cafe43a9d4af3257ca4136daabf1e0f0
+size 180298
diff --git a/results/train/parabola/problem_4584.png b/results/train/parabola/problem_4584.png
new file mode 100644
index 0000000000000000000000000000000000000000..5931081048d9ef951c4cd2619ceb19f1d6f400c5
--- /dev/null
+++ b/results/train/parabola/problem_4584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7086d7acac146841de1c8c2d9e46354687092fc612e9aa5451a1e92e40658e4f
+size 166648
diff --git a/results/train/parabola/problem_4589.png b/results/train/parabola/problem_4589.png
new file mode 100644
index 0000000000000000000000000000000000000000..31feeac2df3054c81aed0335174b06fbfa1d0f7f
--- /dev/null
+++ b/results/train/parabola/problem_4589.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a1c822650240d4216f198e2137a23aa365f07cc7e87374bbe7b6ccd74eeddc94
+size 199788
diff --git a/results/train/parabola/problem_4591.png b/results/train/parabola/problem_4591.png
new file mode 100644
index 0000000000000000000000000000000000000000..28b45276a548083505ba835344b1b62c888359f1
--- /dev/null
+++ b/results/train/parabola/problem_4591.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6cb1e516327852d7537920224fcc97a07eb3101fef74d52d7b09a50c93d6ee7
+size 192285
diff --git a/results/train/parabola/problem_4595.png b/results/train/parabola/problem_4595.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5dfad125eae7339fa7dfb7eea23a682e3964bb0
--- /dev/null
+++ b/results/train/parabola/problem_4595.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a309e1211a388d25e0d46580fe434abc6e01550aba555632b49129e29efe622c
+size 184715
diff --git a/results/train/parabola/problem_4599.png b/results/train/parabola/problem_4599.png
new file mode 100644
index 0000000000000000000000000000000000000000..9eeb651f9c195a8f13e187c638b11f9715612513
--- /dev/null
+++ b/results/train/parabola/problem_4599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c5d75d267340bbaf6ebd36dde7cc30dd2a81ef9bfced953708e8431cb20bd56
+size 196229
diff --git a/results/train/parabola/problem_4600.png b/results/train/parabola/problem_4600.png
new file mode 100644
index 0000000000000000000000000000000000000000..61f2625faa68054cf1de5e81d9ad541eb3b3f395
--- /dev/null
+++ b/results/train/parabola/problem_4600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6018f4be8e7fe876979f8c5a312123c4b41989317f67857303fac920feb44c4e
+size 185639
diff --git a/results/train/parabola/problem_4603.png b/results/train/parabola/problem_4603.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b9e90a4c2b6e4000dd596cb7611d1fd7bf72398
--- /dev/null
+++ b/results/train/parabola/problem_4603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3312d18e7a4abca9df6d0bb5051465f37f3b44eb54171ec69dc74d32533c95fa
+size 184923
diff --git a/results/train/parabola/problem_4604.png b/results/train/parabola/problem_4604.png
new file mode 100644
index 0000000000000000000000000000000000000000..c77dedc089f6c9ff82dda7a494bbc8f8a3d8bc4d
--- /dev/null
+++ b/results/train/parabola/problem_4604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09e1b7f39e466312a795b775504093b86a2be1d8dbbace897318d0e389d78e2b
+size 195236
diff --git a/results/train/parabola/problem_4605.png b/results/train/parabola/problem_4605.png
new file mode 100644
index 0000000000000000000000000000000000000000..b4db7b00ac18013bcb06191cbd5cc4d529da6a6e
--- /dev/null
+++ b/results/train/parabola/problem_4605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9541f00972d16ca3b7d0387c9cfef4c64960b3207fcf44b92a45becd980ed467
+size 204372
diff --git a/results/train/parabola/problem_4608.png b/results/train/parabola/problem_4608.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a1b6a7dd2c6ba6c4239ff3e3f60cba012653184
--- /dev/null
+++ b/results/train/parabola/problem_4608.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66a75b55499a5ca7476b03c5985b6be1a4f76d5ff58a8100ee3160c6613565b3
+size 201675
diff --git a/results/train/parabola/problem_4610.png b/results/train/parabola/problem_4610.png
new file mode 100644
index 0000000000000000000000000000000000000000..41ee0ec5f3b1cedabe969518cf43f557550f2068
--- /dev/null
+++ b/results/train/parabola/problem_4610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:659c1152af98601c79f61ccbcdd2b5eb9db87a607e14080902a3b030cd4c5bd2
+size 181461
diff --git a/results/train/parabola/problem_4611.png b/results/train/parabola/problem_4611.png
new file mode 100644
index 0000000000000000000000000000000000000000..c1469702abb54f68d457bda3664a42e70bbf4c2b
--- /dev/null
+++ b/results/train/parabola/problem_4611.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bacf6f4d78942b050a0734b046c60c6d08bfd4fe5d733299af97c373fae97c37
+size 190913
diff --git a/results/train/parabola/problem_4612.png b/results/train/parabola/problem_4612.png
new file mode 100644
index 0000000000000000000000000000000000000000..85c7ebd04278765a279d89552489b9a13b4aa556
--- /dev/null
+++ b/results/train/parabola/problem_4612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab1fc33230243ff013c313a229a215e624a2fc9dab0777b34cd6bf933b924198
+size 197966
diff --git a/results/train/parabola/problem_4619.png b/results/train/parabola/problem_4619.png
new file mode 100644
index 0000000000000000000000000000000000000000..35befa815ad5c184bc7c66af342d1634075f62eb
--- /dev/null
+++ b/results/train/parabola/problem_4619.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35668021ba5800e17bfcd84e2a5cbfc1459949da9e9b62ea3205d7d734b281a9
+size 198793
diff --git a/results/train/parabola/problem_4621.png b/results/train/parabola/problem_4621.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bf6fffef9fec19c361703355c24ab56b88fc7fc
--- /dev/null
+++ b/results/train/parabola/problem_4621.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fba0c6c5fd3e5fbbe39b799ca2179c31581be6d42bf0fcd0f0de18a0949da65a
+size 192412
diff --git a/results/train/parabola/problem_4628.png b/results/train/parabola/problem_4628.png
new file mode 100644
index 0000000000000000000000000000000000000000..9636128daa09dc1e83fe4504bde9eca62973cd97
--- /dev/null
+++ b/results/train/parabola/problem_4628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:252f4acb10f33b4aaa86e0e1b1ec4196e9b6a700e5126df8c0bf97feb05472f4
+size 188033
diff --git a/results/train/parabola/problem_4632.png b/results/train/parabola/problem_4632.png
new file mode 100644
index 0000000000000000000000000000000000000000..fb02df2421689b8ae9f2cce90a8c9cbca99bb9b9
--- /dev/null
+++ b/results/train/parabola/problem_4632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:443812df06e2ffae392fe85fdd94da0c42d8018f58a722e54dee7a7498a29e35
+size 193874
diff --git a/results/train/parabola/problem_4635.png b/results/train/parabola/problem_4635.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b7ab8eff88ea6bdcdd3aa50eb267c0bf9020c9a
--- /dev/null
+++ b/results/train/parabola/problem_4635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db502f93447e55a5a723b84f71799264f0efbeb2c38c86fa611d0ad9ab6d8987
+size 193067
diff --git a/results/train/parabola/problem_4636.png b/results/train/parabola/problem_4636.png
new file mode 100644
index 0000000000000000000000000000000000000000..7290e673a35d5345511920dc1d9451b4f700f24f
--- /dev/null
+++ b/results/train/parabola/problem_4636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d59052f5eea85d6bad59919fe55e375273156d506073db879910d51dfb0923c
+size 197574
diff --git a/results/train/parabola/problem_4639.png b/results/train/parabola/problem_4639.png
new file mode 100644
index 0000000000000000000000000000000000000000..fbbd5c2e1706511380168385050da9470b905f5a
--- /dev/null
+++ b/results/train/parabola/problem_4639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6901c410fb4be47b2b4297f4dd32f6e80b1f56791c7ca4cb9fad22d755b77f03
+size 190854
diff --git a/results/train/parabola/problem_4641.png b/results/train/parabola/problem_4641.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6ced048067a2ded6a575ed743da903d1103dde2
--- /dev/null
+++ b/results/train/parabola/problem_4641.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:418c561f7fd3d8163e249800594377560fdb0f677d2a3f8cd5941bb709abd7b0
+size 183100
diff --git a/results/train/parabola/problem_4642.png b/results/train/parabola/problem_4642.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa1fbacb7279022a8cf8aa98105f215081cb4b15
--- /dev/null
+++ b/results/train/parabola/problem_4642.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:045a57ebef11a82029b4a54556bb8162a91d55b3d1c738975ac5fe2958cca6b4
+size 195774
diff --git a/results/train/parabola/problem_4647.png b/results/train/parabola/problem_4647.png
new file mode 100644
index 0000000000000000000000000000000000000000..606b7e8bc768334651400e4e8ecb8eeef99e37f8
--- /dev/null
+++ b/results/train/parabola/problem_4647.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ddb2f1a70ea4d321f1b9a63416acc86546d991550aa12167c18229eae1ec3dc3
+size 196092
diff --git a/results/train/parabola/problem_4649.png b/results/train/parabola/problem_4649.png
new file mode 100644
index 0000000000000000000000000000000000000000..54f0ace00e096c4a39414ef731c0015b289d189b
--- /dev/null
+++ b/results/train/parabola/problem_4649.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1d165d98e1649b0e7f45a00067f973b93f328b33145d3fa1552c7923d948ba8e
+size 185213
diff --git a/results/train/parabola/problem_4650.png b/results/train/parabola/problem_4650.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fac7fb52af8cfed362dfa615d7745e3a9e264aa
--- /dev/null
+++ b/results/train/parabola/problem_4650.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ceb3312b92cf708e010ce60e22c8104cc1cf9cfb79bf1669d048f96e91b632ea
+size 180140
diff --git a/results/train/parabola/problem_4655.png b/results/train/parabola/problem_4655.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ec8df713c935431ceffe12bc597cfb7fa29a4b3
--- /dev/null
+++ b/results/train/parabola/problem_4655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e34c7def6b54fba9eae022936862383d2a0fa1c9c87948c36e846f8d923f0911
+size 202703
diff --git a/results/train/parabola/problem_4659.png b/results/train/parabola/problem_4659.png
new file mode 100644
index 0000000000000000000000000000000000000000..e14ed6cdf871e2e432d3a7c88e79035f7052016d
--- /dev/null
+++ b/results/train/parabola/problem_4659.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72bbf880ddc32bdaccba97751367b74c84cee2675dc5e43d37c925ad3829ab68
+size 191284
diff --git a/results/train/parabola/problem_4662.png b/results/train/parabola/problem_4662.png
new file mode 100644
index 0000000000000000000000000000000000000000..c749d81fe6d7b3e036e7c8702d3fdb69e9365f23
--- /dev/null
+++ b/results/train/parabola/problem_4662.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:053afb4e88471ee076530965d9d7f49e92bd0b361ce86d787f79f4691e0dbd96
+size 191054
diff --git a/results/train/parabola/problem_4663.png b/results/train/parabola/problem_4663.png
new file mode 100644
index 0000000000000000000000000000000000000000..597bffbdb0c430a2e325e9f0258ef296349e8193
--- /dev/null
+++ b/results/train/parabola/problem_4663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:532fd08327090e5c7ae038226a77ccfac531f8e736118a16fb482ee3fa3e20bf
+size 189608
diff --git a/results/train/parabola/problem_4670.png b/results/train/parabola/problem_4670.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9121206ac2267bb2512611df65a44b3558031aa
--- /dev/null
+++ b/results/train/parabola/problem_4670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e74b05779e2372ba1895bd0ae0b0ba505a610ce89e8050cef285fb8aa22555ef
+size 198573
diff --git a/results/train/parabola/problem_4675.png b/results/train/parabola/problem_4675.png
new file mode 100644
index 0000000000000000000000000000000000000000..d85345e7d10cb95f76011560dfd0c7422503f4b2
--- /dev/null
+++ b/results/train/parabola/problem_4675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:692d69b3dd1cd55b59aeca670b24b1ac2d035b4eb30ef790e9b8b6517991c549
+size 193678
diff --git a/results/train/parabola/problem_4677.png b/results/train/parabola/problem_4677.png
new file mode 100644
index 0000000000000000000000000000000000000000..f28cca45b905bf38866ba9f1426c3f0049e1af44
--- /dev/null
+++ b/results/train/parabola/problem_4677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18bfa35cf2c3b9e299138667fe0dfdc575e080ffb138d3f480e9d6b587cfa918
+size 189935
diff --git a/results/train/parabola/problem_4685.png b/results/train/parabola/problem_4685.png
new file mode 100644
index 0000000000000000000000000000000000000000..6415894847bd27231c3211a6bd804f3781e9a8fb
--- /dev/null
+++ b/results/train/parabola/problem_4685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9cacdde2b0c7b1f05f67df77307f4d1d3b82996d1134f62515aec2544f55c36
+size 195269
diff --git a/results/train/parabola/problem_4688.png b/results/train/parabola/problem_4688.png
new file mode 100644
index 0000000000000000000000000000000000000000..7339200f2b52a2cec85d8ededdd0a29c4a9ece79
--- /dev/null
+++ b/results/train/parabola/problem_4688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:547ad25031371731be5112f4d7ea7b5f4c3de4a9da7593995fdb23b98104b6c1
+size 193265
diff --git a/results/train/parabola/problem_4693.png b/results/train/parabola/problem_4693.png
new file mode 100644
index 0000000000000000000000000000000000000000..f69796bba88a315deb47a156f77851179e1706bf
--- /dev/null
+++ b/results/train/parabola/problem_4693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c1dfb84b32feeb38338c350aeff426218513b3efd82e96d8f62208c27038e0d
+size 187739
diff --git a/results/train/parabola/problem_4696.png b/results/train/parabola/problem_4696.png
new file mode 100644
index 0000000000000000000000000000000000000000..643016c3999472ecd2d185a6e179509095693cc1
--- /dev/null
+++ b/results/train/parabola/problem_4696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3574c602b0f84805801c6f9c68f090369749a657f1dad581f5c47c00658d4270
+size 203631
diff --git a/results/train/parabola/problem_4697.png b/results/train/parabola/problem_4697.png
new file mode 100644
index 0000000000000000000000000000000000000000..555d2b7e92bd5fae9d07b5eab2a80a701c8eb063
--- /dev/null
+++ b/results/train/parabola/problem_4697.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8429becfaa93b1c9e77bc6b026bcea36b5985819b536a3500ed835a16be8906
+size 181272
diff --git a/results/train/parabola/problem_4698.png b/results/train/parabola/problem_4698.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8afe397807d6326078f134a4ba6a55b7df73ede
--- /dev/null
+++ b/results/train/parabola/problem_4698.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:208b8111b85c38aba5357684b71ee120ee37e9ce4c8765d441d5581fe55ff268
+size 191823
diff --git a/results/train/parabola/problem_4699.png b/results/train/parabola/problem_4699.png
new file mode 100644
index 0000000000000000000000000000000000000000..59344e7acc2117fe84be1bf66f3c9e2495bde580
--- /dev/null
+++ b/results/train/parabola/problem_4699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b14655af1f472540df6ec3eefd7e6d857b1e9a52d79441ff215826e17409003
+size 191520
diff --git a/results/train/parabola/problem_4702.png b/results/train/parabola/problem_4702.png
new file mode 100644
index 0000000000000000000000000000000000000000..a3b57961b6a3491db215dd4b6972e46c7a1d97b4
--- /dev/null
+++ b/results/train/parabola/problem_4702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac1036da3b67ddd118c5dbcc684d3a489220f751fe8896e9e88e6f2cb4997756
+size 187405
diff --git a/results/train/parabola/problem_4712.png b/results/train/parabola/problem_4712.png
new file mode 100644
index 0000000000000000000000000000000000000000..585818bcce2bb782fc0fbd3855d6cc1306c787a9
--- /dev/null
+++ b/results/train/parabola/problem_4712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99bce0abfb315bc18bc2e1a977f70e6e67e850b805e83a0995c60609ce5eb5d0
+size 190940
diff --git a/results/train/parabola/problem_4713.png b/results/train/parabola/problem_4713.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b7d17b902e96d41b9bb22d5bb2f3b1eb54bf8ad
--- /dev/null
+++ b/results/train/parabola/problem_4713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e1c61d69c353ce4d92f9398f0bb2a8141c062c09a1e05b37352dcc73a54c0cf
+size 203609
diff --git a/results/train/parabola/problem_4715.png b/results/train/parabola/problem_4715.png
new file mode 100644
index 0000000000000000000000000000000000000000..7e779b5c03a1d019f15bc4728f2a4a747f9a537b
--- /dev/null
+++ b/results/train/parabola/problem_4715.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59d6ef33fd920838c31bc532580a148c951767580ffe15c6b3164873505017e8
+size 178889
diff --git a/results/train/parabola/problem_4717.png b/results/train/parabola/problem_4717.png
new file mode 100644
index 0000000000000000000000000000000000000000..eeadaa9b0154b3eaf144e159eee4503b7bd87a2d
--- /dev/null
+++ b/results/train/parabola/problem_4717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8a499f50e7c183a6fdeccf52a385d1517662421819044e505957e65999fdac8
+size 193217
diff --git a/results/train/parabola/problem_4728.png b/results/train/parabola/problem_4728.png
new file mode 100644
index 0000000000000000000000000000000000000000..02012d786915540019f3cfb03616440860582438
--- /dev/null
+++ b/results/train/parabola/problem_4728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10e802aec37cc01d28abc4458e3c50a487cbe2e94d2618b3622fbd30dd572956
+size 183000
diff --git a/results/train/parabola/problem_4729.png b/results/train/parabola/problem_4729.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfe314fe2ce27dbe0a0dc20a44638d68d768e91c
--- /dev/null
+++ b/results/train/parabola/problem_4729.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f30b95dd1821e159a87b4c3b105b6986600eb2e0b65ad6deaf3997d6ca02d48
+size 206514
diff --git a/results/train/parabola/problem_4736.png b/results/train/parabola/problem_4736.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c88071f8cc24ccf83e6748c531c93184747813a
--- /dev/null
+++ b/results/train/parabola/problem_4736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e66dbb307125055f43931ff42339d5e78c91a8afe1fb66ffc2fa8fcebcbac4f6
+size 201915
diff --git a/results/train/parabola/problem_4740.png b/results/train/parabola/problem_4740.png
new file mode 100644
index 0000000000000000000000000000000000000000..d098715c9a9c905260bbc31e07a1c291ff804cd6
--- /dev/null
+++ b/results/train/parabola/problem_4740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fbf7d537a0ca601193d22382293c27243c2943a5be1083553aa78b4a745ad22
+size 182001
diff --git a/results/train/parabola/problem_4743.png b/results/train/parabola/problem_4743.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc7be05a07660cee682aa4597304f0bfe8bbe0a8
--- /dev/null
+++ b/results/train/parabola/problem_4743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b79f0d8a6dc40b942c277d21e5d4335a5291cff625f9bb1b11e40b1dabc2d331
+size 175031
diff --git a/results/train/parabola/problem_4754.png b/results/train/parabola/problem_4754.png
new file mode 100644
index 0000000000000000000000000000000000000000..d485e11c94edc10bf262dbec39405f204425b62d
--- /dev/null
+++ b/results/train/parabola/problem_4754.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11ebf7234783ce9dd8a05fbb2b6475682e898e0fe855f0feedcb606ff9eb1f12
+size 198930
diff --git a/results/train/parabola/problem_4755.png b/results/train/parabola/problem_4755.png
new file mode 100644
index 0000000000000000000000000000000000000000..8eaabae307aa134b7d899da1d1af51d7782dba5d
--- /dev/null
+++ b/results/train/parabola/problem_4755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0cdaa4e3c39069a53c4ef3e16803a726cb2d1b3c2735589ba5d7cb742acc59c1
+size 192325
diff --git a/results/train/parabola/problem_4758.png b/results/train/parabola/problem_4758.png
new file mode 100644
index 0000000000000000000000000000000000000000..0677fce1235a8e7a497e706251c5d199280923bc
--- /dev/null
+++ b/results/train/parabola/problem_4758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ad97460088fadbec02229c4ffd67ea411338631bb11a64109651ca9d79b527c
+size 197136
diff --git a/results/train/parabola/problem_4759.png b/results/train/parabola/problem_4759.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e4be6a6821c5688b045ff3512c25e07014a4930
--- /dev/null
+++ b/results/train/parabola/problem_4759.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f172a781181be6c777027ff041fb9dd7217c1cdc0852a9204a56763ee0e0568
+size 202643
diff --git a/results/train/parabola/problem_4765.png b/results/train/parabola/problem_4765.png
new file mode 100644
index 0000000000000000000000000000000000000000..256a24fb7074b80560f8e6ea2023c9de515af8ec
--- /dev/null
+++ b/results/train/parabola/problem_4765.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b8d2aaf0264500d8110df177fda677e41b7c484ffe760bdbfff66814283cffc
+size 205034
diff --git a/results/train/parabola/problem_4768.png b/results/train/parabola/problem_4768.png
new file mode 100644
index 0000000000000000000000000000000000000000..72c09c5755b07fe7b4e71849fde976940594b1b7
--- /dev/null
+++ b/results/train/parabola/problem_4768.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0975702e70569afb0a9ad799227365c5802840eb9d9990b8bca5d098edb414e7
+size 205243
diff --git a/results/train/parabola/problem_4770.png b/results/train/parabola/problem_4770.png
new file mode 100644
index 0000000000000000000000000000000000000000..4c393050ae192c6af8d637078b0e49813b066618
--- /dev/null
+++ b/results/train/parabola/problem_4770.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:baf94e5b9ac546d9407e4c5fcc8ef11faa170143bd600171b36c23a9c59eeccb
+size 200690
diff --git a/results/train/parabola/problem_4773.png b/results/train/parabola/problem_4773.png
new file mode 100644
index 0000000000000000000000000000000000000000..3685744a6e0fe8b8947e4c72ffb0e2f01b72bcc8
--- /dev/null
+++ b/results/train/parabola/problem_4773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7682f916a9851004650170714a1bc5c38a4a7e99fd790206c62e31a34df8292f
+size 192040
diff --git a/results/train/parabola/problem_4777.png b/results/train/parabola/problem_4777.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d483bf0859fbd6a75849b7edb27d83f6225564d
--- /dev/null
+++ b/results/train/parabola/problem_4777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55efd6e13d34798a9b50318cc58d7e6ba38648cc857499dc5a72e9a864958efa
+size 187644
diff --git a/results/train/parabola/problem_4778.png b/results/train/parabola/problem_4778.png
new file mode 100644
index 0000000000000000000000000000000000000000..711d26935efad7de3fa63e0f1e9ce0521a2b1b8d
--- /dev/null
+++ b/results/train/parabola/problem_4778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b9785f8b3771573f7f457cd05a04cbd4d449532905135cee6921c6b493156b0
+size 175004
diff --git a/results/train/parabola/problem_4781.png b/results/train/parabola/problem_4781.png
new file mode 100644
index 0000000000000000000000000000000000000000..b35501682415f0c52f4a2f295425db6441e6918f
--- /dev/null
+++ b/results/train/parabola/problem_4781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27406d39ec681f9a7d6bcd53340b2c08810ea939ff7dc50bb7159eef4b1f2634
+size 197573
diff --git a/results/train/parabola/problem_4787.png b/results/train/parabola/problem_4787.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb332e0464006b7bd5466c82862ce2ebb9da2dd2
--- /dev/null
+++ b/results/train/parabola/problem_4787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0b9e31977dbef572b68ec0cae5a035ad3b7415b0418717d837f363a9cb53699
+size 192075
diff --git a/results/train/parabola/problem_4790.png b/results/train/parabola/problem_4790.png
new file mode 100644
index 0000000000000000000000000000000000000000..576f04e73b403afe6cf903ec0dea0edb30fc8d72
--- /dev/null
+++ b/results/train/parabola/problem_4790.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff95fc700b979f92260c0bdae228937a076bab7a0c79446ebb44cf73a507e6a4
+size 194812
diff --git a/results/train/parabola/problem_4795.png b/results/train/parabola/problem_4795.png
new file mode 100644
index 0000000000000000000000000000000000000000..9684c2d4f15570feefcfe0b4f0c8dcbd3044328c
--- /dev/null
+++ b/results/train/parabola/problem_4795.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:884660de674db1e3a7a0b7f651df14a19e419be96a2b07d4faef04c2f7eefed0
+size 197964
diff --git a/results/train/parabola/problem_4796.png b/results/train/parabola/problem_4796.png
new file mode 100644
index 0000000000000000000000000000000000000000..8155d16f8b3fcf303eecdd6dd9872b31e625d54e
--- /dev/null
+++ b/results/train/parabola/problem_4796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e645d1cd5853cba375b5c69d5ad7acaba4988d3cbe678afe26c55828c2c472f
+size 188801
diff --git a/results/train/parabola/problem_4798.png b/results/train/parabola/problem_4798.png
new file mode 100644
index 0000000000000000000000000000000000000000..db7cc46d1bac86f59a6b24436c29c5940490d104
--- /dev/null
+++ b/results/train/parabola/problem_4798.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c4bde2e089ede7f2835e11439fad17199ec9e9e15217b3e7feae3b6d5842174
+size 155147
diff --git a/results/train/parabola/problem_4805.png b/results/train/parabola/problem_4805.png
new file mode 100644
index 0000000000000000000000000000000000000000..d966c72cb9a9e8ead7df8229b5d9395ca2ad985a
--- /dev/null
+++ b/results/train/parabola/problem_4805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:143c459b80be23f409745adaa434ff620cd6518900c4781fdf7be55502530018
+size 189877
diff --git a/results/train/parabola/problem_4807.png b/results/train/parabola/problem_4807.png
new file mode 100644
index 0000000000000000000000000000000000000000..7a601f51e13244fce0964fb125406d62f54ec4db
--- /dev/null
+++ b/results/train/parabola/problem_4807.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd9e22eba073a82fe74fb2dae01cb14f94a4884961f0fd1caa3f18a225f4c4ae
+size 189000
diff --git a/results/train/parabola/problem_4808.png b/results/train/parabola/problem_4808.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e0a33c48f77efda30cd2392365b1e67003cebc1
--- /dev/null
+++ b/results/train/parabola/problem_4808.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a59cdc9f5f14f659fdf4770ff52e4340643af8481f0fe412a9d9873f018291f2
+size 187158
diff --git a/results/train/parabola/problem_4817.png b/results/train/parabola/problem_4817.png
new file mode 100644
index 0000000000000000000000000000000000000000..aebfe7973725613c25504dc27ec2e9558017161e
--- /dev/null
+++ b/results/train/parabola/problem_4817.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:561617d4f6f376d14c1b65986c67fd97feda41866b333e33872a215593d4c30d
+size 196039
diff --git a/results/train/parabola/problem_4819.png b/results/train/parabola/problem_4819.png
new file mode 100644
index 0000000000000000000000000000000000000000..879d9befbff8d28657771e81e39c05354293432a
--- /dev/null
+++ b/results/train/parabola/problem_4819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa91f7b39f7a894904eeb1aa778aefa0e17f69844c734e8ea787e74e9f3ffabf
+size 188824
diff --git a/results/train/parabola/problem_4821.png b/results/train/parabola/problem_4821.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d2af223b017b091d62fa4a410a8b846bcd8fd93
--- /dev/null
+++ b/results/train/parabola/problem_4821.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f9920fb88eeabbbaea1127e4293c447241e7e187ffc3d55dea10f01f7151f7db
+size 140883
diff --git a/results/train/parabola/problem_4825.png b/results/train/parabola/problem_4825.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a24c6de5f4b2095dfab90837d4bcf434175be58
--- /dev/null
+++ b/results/train/parabola/problem_4825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2143cb718c8305f109256b190471f0a797d05d3fc3af2d7b8b55d1b1b62c794
+size 192503
diff --git a/results/train/parabola/problem_4828.png b/results/train/parabola/problem_4828.png
new file mode 100644
index 0000000000000000000000000000000000000000..66552ef9f25e197b3bcdc3c455d1cd6a36146458
--- /dev/null
+++ b/results/train/parabola/problem_4828.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2556949b0c43b7e3e891b2753ec012f13e75727edf2bf79a15f59343220f61f4
+size 187662
diff --git a/results/train/parabola/problem_4833.png b/results/train/parabola/problem_4833.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d38b561294d32145a7f399b431015d7acd0db0e
--- /dev/null
+++ b/results/train/parabola/problem_4833.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ee8de13ea21c1e5ad1c451cfd5ff16f1be8b60ffc80013b2a7aa0853a25ec88
+size 195562
diff --git a/results/train/parabola/problem_4835.png b/results/train/parabola/problem_4835.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcfa83e054eabfa19777da5c3428a9826b9b7671
--- /dev/null
+++ b/results/train/parabola/problem_4835.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e4348baa36c0a9b4f5c7455f8af60b27227ad2bbaf1046b572b81e7ae2002fa
+size 192371
diff --git a/results/train/parabola/problem_4839.png b/results/train/parabola/problem_4839.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a2f62cb01cf00049ec1345a44d838c7e25ff27f
--- /dev/null
+++ b/results/train/parabola/problem_4839.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:774bf2a55f72d7a06568a6517af547899d4edeab7a091a4bf940194b5af2f33a
+size 191364
diff --git a/results/train/parabola/problem_4841.png b/results/train/parabola/problem_4841.png
new file mode 100644
index 0000000000000000000000000000000000000000..1305f1dc7861123e6e1fc34fe7232f8184dcd636
--- /dev/null
+++ b/results/train/parabola/problem_4841.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93f8f8dbd50c241b10b916599403490a24f969a39ef4d45f2f3bc610f3d8a4c5
+size 178509
diff --git a/results/train/parabola/problem_4842.png b/results/train/parabola/problem_4842.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca2847d635d4ab970c900518b430766909746032
--- /dev/null
+++ b/results/train/parabola/problem_4842.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43c1a9dfd02163be2c1c42e0f32e9d71af9c5e08d4a5d424b0d4ce2b6698750a
+size 205575
diff --git a/results/train/parabola/problem_4843.png b/results/train/parabola/problem_4843.png
new file mode 100644
index 0000000000000000000000000000000000000000..605d35976ba2c13d7641b1ff8191806b1ae3692a
--- /dev/null
+++ b/results/train/parabola/problem_4843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bf121231c935359664b98fd47d205ba60c6ead7f59fa8b50e273d1d7f186a2f
+size 189767
diff --git a/results/train/parabola/problem_4844.png b/results/train/parabola/problem_4844.png
new file mode 100644
index 0000000000000000000000000000000000000000..c47ce8db8946821d7b94df3b4209068dc69643b2
--- /dev/null
+++ b/results/train/parabola/problem_4844.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab2c4b1ccae42e1652285756df8c62da973a6db690a9acbf73a50bf1ab9617fc
+size 189274
diff --git a/results/train/parabola/problem_4849.png b/results/train/parabola/problem_4849.png
new file mode 100644
index 0000000000000000000000000000000000000000..505fe70abf62ebf4bb43cbd1e87e188810232d04
--- /dev/null
+++ b/results/train/parabola/problem_4849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e20f8a85847c863c90bbae6e808826e151dd5c988e327497bdf4514c56437f4
+size 204066
diff --git a/results/train/parabola/problem_4855.png b/results/train/parabola/problem_4855.png
new file mode 100644
index 0000000000000000000000000000000000000000..8607e6ac0d80914b6d1488deb58a0d00ba1efe55
--- /dev/null
+++ b/results/train/parabola/problem_4855.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:22f693832fe8645fb9dea02e40e46ea8f2232570399549e318691a7c6782095f
+size 193238
diff --git a/results/train/parabola/problem_4857.png b/results/train/parabola/problem_4857.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4e671fe20b83ce97cc146e190cb0141dd4a163a
--- /dev/null
+++ b/results/train/parabola/problem_4857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ffd103b2a59d687ee8183c8cebbd55d26658fdb1a24025a5603b2e24ccc9ae4d
+size 194983
diff --git a/results/train/parabola/problem_4863.png b/results/train/parabola/problem_4863.png
new file mode 100644
index 0000000000000000000000000000000000000000..f824e546246f32949108d79fb776277332dfd1de
--- /dev/null
+++ b/results/train/parabola/problem_4863.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b4026788ba719d71a14bb654b1a69311e341d94160fefb6ba801442fcc3beb90
+size 182346
diff --git a/results/train/parabola/problem_4867.png b/results/train/parabola/problem_4867.png
new file mode 100644
index 0000000000000000000000000000000000000000..5fc58a7eabc1f81ef418143837cd491889631670
--- /dev/null
+++ b/results/train/parabola/problem_4867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:204baacb64ef450940ba5498c49e1cdeda9bf09c4ca932264bbb94f25b68ebdd
+size 194674
diff --git a/results/train/parabola/problem_4882.png b/results/train/parabola/problem_4882.png
new file mode 100644
index 0000000000000000000000000000000000000000..bcd8cac7ca24fec6d87c7498585d1b7100376b29
--- /dev/null
+++ b/results/train/parabola/problem_4882.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ba917210eb9f31929ffa02cb5c2ddbc71276a4919fc5a0f85fac9b7b07212b7
+size 189976
diff --git a/results/train/parabola/problem_4896.png b/results/train/parabola/problem_4896.png
new file mode 100644
index 0000000000000000000000000000000000000000..501965e06e2a76596dfe5388b28e90ee5df5db7a
--- /dev/null
+++ b/results/train/parabola/problem_4896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66956bc0c8f2bfd7e26132e7171ee8e2660c6e5091bba4cc8474a357d4255b42
+size 196771
diff --git a/results/train/parabola/problem_4898.png b/results/train/parabola/problem_4898.png
new file mode 100644
index 0000000000000000000000000000000000000000..bfe85814a3dc97e9caf164b03ae21dc079e8aefa
--- /dev/null
+++ b/results/train/parabola/problem_4898.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b5aaefd3114102db848c7397eb5278b527e4bcd550183121ff39210818759c3e
+size 205279
diff --git a/results/train/parabola/problem_4900.png b/results/train/parabola/problem_4900.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef946e1d825337256f658e5908a480fc5971e8e5
--- /dev/null
+++ b/results/train/parabola/problem_4900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3338cb1860b982f2f1a3c1d383f768637496d1997e8c7f982cdc092827db852d
+size 209311
diff --git a/results/train/parabola/problem_4902.png b/results/train/parabola/problem_4902.png
new file mode 100644
index 0000000000000000000000000000000000000000..6eb0dee23e5ca618c03fd71796a71432ff33004a
--- /dev/null
+++ b/results/train/parabola/problem_4902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d129e3688e0228932a309902a971a3440fcb0f1ef277625616e03f5d3e97e1e1
+size 179193
diff --git a/results/train/parabola/problem_4907.png b/results/train/parabola/problem_4907.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2b917678d65e82136c555562517274e6be7aa93
--- /dev/null
+++ b/results/train/parabola/problem_4907.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cf3e8258884749501d8777789a996d08fed1dab3578c0f187dc1d779780312f
+size 191674
diff --git a/results/train/parabola/problem_4911.png b/results/train/parabola/problem_4911.png
new file mode 100644
index 0000000000000000000000000000000000000000..c601ebf4e69e15f242c7cc62f238e418ca336c2c
--- /dev/null
+++ b/results/train/parabola/problem_4911.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f674dd52623e8da4117986f4d13c2083fa0976d77916124781a4fc773ce6bea
+size 199392
diff --git a/results/train/parabola/problem_4912.png b/results/train/parabola/problem_4912.png
new file mode 100644
index 0000000000000000000000000000000000000000..21619fdf6baa6ce60ebdcb0e2bbf1ad255d67e9b
--- /dev/null
+++ b/results/train/parabola/problem_4912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:645b61d1320b70f5a66a4987d96dc3b79343cdd03fe9def0316a75bb2e57e7ec
+size 191794
diff --git a/results/train/parabola/problem_4920.png b/results/train/parabola/problem_4920.png
new file mode 100644
index 0000000000000000000000000000000000000000..b806c505291f345e91e14bbb5ea4fb1243176992
--- /dev/null
+++ b/results/train/parabola/problem_4920.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:653ee7d635ce35e7a1a730db408d13fb963bd4c11868fc24f554f29ff2200402
+size 193224
diff --git a/results/train/parabola/problem_4928.png b/results/train/parabola/problem_4928.png
new file mode 100644
index 0000000000000000000000000000000000000000..e19a24e2827539134f566f5d68b6751ea4815c85
--- /dev/null
+++ b/results/train/parabola/problem_4928.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:987c9042db64e7343e3b66ca61e05409d89de6a1f9f59a68768b56fcac716629
+size 186624
diff --git a/results/train/parabola/problem_4933.png b/results/train/parabola/problem_4933.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eb34347a75c61c063e3691dcc69803b42fbba28
--- /dev/null
+++ b/results/train/parabola/problem_4933.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0e5c01b2259565b7e94f66880c9bf18889641b543ddfddbf41766eb7995ae97
+size 188945
diff --git a/results/train/parabola/problem_4934.png b/results/train/parabola/problem_4934.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a1e7d54db6075ee364415739cfcd0f98465cb06
--- /dev/null
+++ b/results/train/parabola/problem_4934.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47dda0531342033c1bcc3fe8245019990e7cd281c05f3714e540962e8decb5e4
+size 201694
diff --git a/results/train/parabola/problem_4936.png b/results/train/parabola/problem_4936.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fc3365ea81edeac299d9bef334af75f61ed87de
--- /dev/null
+++ b/results/train/parabola/problem_4936.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39c6d4f03c04f9e0075ae21f6998bd42886381774372b6bb05b45dad52bd636a
+size 162315
diff --git a/results/train/parabola/problem_4940.png b/results/train/parabola/problem_4940.png
new file mode 100644
index 0000000000000000000000000000000000000000..846e4ebffbfe478f130d5b7cebea130331c7bdeb
--- /dev/null
+++ b/results/train/parabola/problem_4940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b568543281689e9f5f6d9895b2f339430c1bb9ee67c3530b93389a9716d1906
+size 193200
diff --git a/results/train/parabola/problem_4953.png b/results/train/parabola/problem_4953.png
new file mode 100644
index 0000000000000000000000000000000000000000..177ac85142b34a9bcad586952f4020abb2d2dcf7
--- /dev/null
+++ b/results/train/parabola/problem_4953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba6e2bb44bce6828a68c7f068bc921ec92f3db11b27d19b912a0d1c592640be3
+size 206423
diff --git a/results/train/parabola/problem_4954.png b/results/train/parabola/problem_4954.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe2c39c5cd68e59aafdc0925e4a795ca4848a972
--- /dev/null
+++ b/results/train/parabola/problem_4954.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a07fbb3d2ff2b92cde12eaed9ff110f14b313717260e67bf5d74af93d819f8c
+size 188245
diff --git a/results/train/parabola/problem_4956.png b/results/train/parabola/problem_4956.png
new file mode 100644
index 0000000000000000000000000000000000000000..19d645f0400caa13b529eebfee60737ab7ae1502
--- /dev/null
+++ b/results/train/parabola/problem_4956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bd6ea2affa57a12b094282e84101a645830b1a2d59e10f7d5d4d0f702117b7a7
+size 187714
diff --git a/results/train/parabola/problem_4963.png b/results/train/parabola/problem_4963.png
new file mode 100644
index 0000000000000000000000000000000000000000..85b92ed6b1d196eafeec7f7b940127c4fe0e3c60
--- /dev/null
+++ b/results/train/parabola/problem_4963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6006d21aca247369df9c2bc6cc86c88ad079ffffd8396962b14339d1cdc1f3b
+size 192680
diff --git a/results/train/parabola/problem_4966.png b/results/train/parabola/problem_4966.png
new file mode 100644
index 0000000000000000000000000000000000000000..9abaf2cc3ef3d282f38722a6a21749446d6afb28
--- /dev/null
+++ b/results/train/parabola/problem_4966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5da163291ae09c826e6d989d3393272781b7a3c9b55697df16af0c3c75455838
+size 189440
diff --git a/results/train/parabola/problem_4967.png b/results/train/parabola/problem_4967.png
new file mode 100644
index 0000000000000000000000000000000000000000..a64e97bb82690d465e26e2586f30dd71ad840756
--- /dev/null
+++ b/results/train/parabola/problem_4967.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:adf294615485ab3f75ec38794ac8554ee352d4315c05835448a84e58a07ed02e
+size 185612
diff --git a/results/train/parabola/problem_4974.png b/results/train/parabola/problem_4974.png
new file mode 100644
index 0000000000000000000000000000000000000000..38f4616accecef0a5ad7aac210ad16f5b1638dad
--- /dev/null
+++ b/results/train/parabola/problem_4974.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4bb3d7a70f6af56e251dd9fe48c148e350d6ec99f9e8221dcb1796eb785bbbe9
+size 169832
diff --git a/results/train/parabola/problem_4975.png b/results/train/parabola/problem_4975.png
new file mode 100644
index 0000000000000000000000000000000000000000..11c8034d47712f1c6b7ce36d341b03834edd4417
--- /dev/null
+++ b/results/train/parabola/problem_4975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5ff4ef68b1ea51c6a7bb1d6ecd923ba33f92db3c6f5923fb6f6b258bba0446cb
+size 163324
diff --git a/results/train/parabola/problem_4980.png b/results/train/parabola/problem_4980.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa476b67124b28b28a413c7edb61ad8c3ad9bbb8
--- /dev/null
+++ b/results/train/parabola/problem_4980.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf478385044bfa6dfc3cb0fc97166173e9a4d0e1844155e5c2287f9dca5604ba
+size 202496
diff --git a/results/train/parabola/problem_4993.png b/results/train/parabola/problem_4993.png
new file mode 100644
index 0000000000000000000000000000000000000000..d07b06a8e6b37c7e3c6408838ee7f859244d9070
--- /dev/null
+++ b/results/train/parabola/problem_4993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e2f83f95f8f071ab2962b2bf5d629b910289e5eacd03450de34eca3b40bb6ed
+size 192686
diff --git a/results/train/parabola/problem_4996.png b/results/train/parabola/problem_4996.png
new file mode 100644
index 0000000000000000000000000000000000000000..224d06d07d57c97c3005ec95427f316b8308493b
--- /dev/null
+++ b/results/train/parabola/problem_4996.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db09afe2b092ac3261b0e389fdd56889129fc91fddf2c89c0a106533c92e42b5
+size 140085
diff --git a/results/train/parabola/problem_5000.png b/results/train/parabola/problem_5000.png
new file mode 100644
index 0000000000000000000000000000000000000000..c795440942ba8cac0d4d5f9c0b98a8f115bca6e7
--- /dev/null
+++ b/results/train/parabola/problem_5000.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41fe7f0682e61b4c0f07b9905b17801c59f9d864da049b6ff8484359d9aaa95d
+size 184231
diff --git a/results/train/parabola/problem_5005.png b/results/train/parabola/problem_5005.png
new file mode 100644
index 0000000000000000000000000000000000000000..c48482f3faf14b1791118ba5bf90f9e13dce6eea
--- /dev/null
+++ b/results/train/parabola/problem_5005.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:138bdcde98fc9a5e7ca4ef7c7fa785d8737fa7513106c02174fae43fcfb2d961
+size 191103
diff --git a/results/train/parabola/problem_5012.png b/results/train/parabola/problem_5012.png
new file mode 100644
index 0000000000000000000000000000000000000000..d33afdb13c68c5936d116422e6db213d1bbec572
--- /dev/null
+++ b/results/train/parabola/problem_5012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2768a4278eefb9cbd2997d33c3a45639bd2a285c88628e6b9560de05642173f
+size 204531
diff --git a/results/train/parabola/problem_5019.png b/results/train/parabola/problem_5019.png
new file mode 100644
index 0000000000000000000000000000000000000000..b54c74e776ce54a48c89fae32ade4b3f259d8670
--- /dev/null
+++ b/results/train/parabola/problem_5019.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbc88af4f0827a451c3cd3436678807198f5cdea1064c53f9e95a11da875ae7d
+size 198237
diff --git a/results/train/parabola/problem_5024.png b/results/train/parabola/problem_5024.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2c6bd172880b40de2a80628cafb6af32b6daaa4
--- /dev/null
+++ b/results/train/parabola/problem_5024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fac43bde377b1e30c9ec35dbc181d8837478b1d1705d028d4efd826b5ced399
+size 188992
diff --git a/results/train/parabola/problem_5025.png b/results/train/parabola/problem_5025.png
new file mode 100644
index 0000000000000000000000000000000000000000..5033cfa4cf826fddca297ea63a8fcb7adf6f8023
--- /dev/null
+++ b/results/train/parabola/problem_5025.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4ac81e5549e9d0c16b701448d884f60272737af1ab7cb32ef04c500dc16eba92
+size 195983
diff --git a/results/train/parabola/problem_5028.png b/results/train/parabola/problem_5028.png
new file mode 100644
index 0000000000000000000000000000000000000000..d64654da3785de83b4af4697eee667e1e7424e89
--- /dev/null
+++ b/results/train/parabola/problem_5028.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e29b920e004ca9a7b4586da2c8603b99211a77a83715d21a4eca68e1c967851
+size 185238
diff --git a/results/train/parabola/problem_5038.png b/results/train/parabola/problem_5038.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cc6586ca754fe508656bf9e8a844da26e517fbe
--- /dev/null
+++ b/results/train/parabola/problem_5038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a9ea1323c6017d4d300fe03aa8b7de0b0a5d718ddf527e0ea278cd62d18d0b0
+size 187206
diff --git a/results/train/parabola/problem_5042.png b/results/train/parabola/problem_5042.png
new file mode 100644
index 0000000000000000000000000000000000000000..70610746d522d2b86af97960100637eb64b41265
--- /dev/null
+++ b/results/train/parabola/problem_5042.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1bded5ff4d9a550b035874479a1dc51619202b1c92e7a46670e114e0a990a51
+size 183043
diff --git a/results/train/parabola/problem_5044.png b/results/train/parabola/problem_5044.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b926000512a86b980917b15e6e18c9bbfb91d11
--- /dev/null
+++ b/results/train/parabola/problem_5044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13ead0320e78720eb004945e466751aad9d2eb6010079be7a0316a23e956a6a2
+size 201627
diff --git a/results/train/parabola/problem_5045.png b/results/train/parabola/problem_5045.png
new file mode 100644
index 0000000000000000000000000000000000000000..155f44571d2f1245eda5419382514983321b0cc6
--- /dev/null
+++ b/results/train/parabola/problem_5045.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d859d6685e29a6c85892792e21d5664456049a16e72e5ca96df29758d24bbb41
+size 188987
diff --git a/results/train/parabola/problem_5048.png b/results/train/parabola/problem_5048.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e41b0add9bb84365465457787b75ff217fed421
--- /dev/null
+++ b/results/train/parabola/problem_5048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6edbc9cb6b55bda22b7dcbabd1ccde60027847fe4a418540b27ead98da285b3
+size 193477
diff --git a/results/train/parabola/problem_5049.png b/results/train/parabola/problem_5049.png
new file mode 100644
index 0000000000000000000000000000000000000000..59fea2a508c81aa528add2ffa7b13cca73519745
--- /dev/null
+++ b/results/train/parabola/problem_5049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b0583b73a82cb9863b8cff965482b4113ed88f7e1f23b59403ebc9c31e179e4
+size 209483
diff --git a/results/train/parabola/problem_5050.png b/results/train/parabola/problem_5050.png
new file mode 100644
index 0000000000000000000000000000000000000000..099526937228afa82e5ed5fdab028d6cfd5a4b43
--- /dev/null
+++ b/results/train/parabola/problem_5050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a1d2f0f8fd29b0d6cbe108268868561c80eda6d2c23f8adc510f9b7e6ed96d6
+size 190077
diff --git a/results/train/parabola/problem_5051.png b/results/train/parabola/problem_5051.png
new file mode 100644
index 0000000000000000000000000000000000000000..9565856c1ff80376b4417750a4485c6ce64c79f1
--- /dev/null
+++ b/results/train/parabola/problem_5051.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe7d88a02545e262dd0f9da83ffa034af81846bfbb3e98d62092cd265985c69d
+size 188055
diff --git a/results/train/parabola/problem_5052.png b/results/train/parabola/problem_5052.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6675cc3cf77f9e7253f27e2c0986c151d64d646
--- /dev/null
+++ b/results/train/parabola/problem_5052.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e7ae95631ba97e6416a8c12b64e4e484f432134c303994ab9a1e56919658792
+size 196864
diff --git a/results/train/parabola/problem_5055.png b/results/train/parabola/problem_5055.png
new file mode 100644
index 0000000000000000000000000000000000000000..3b11a8241bd9c2e63b6a32835a6fe0d762108943
--- /dev/null
+++ b/results/train/parabola/problem_5055.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1cbd603b001efe06437f0b1912f0d3aa7a14f6b444706e7ebf7a059a19a4cb68
+size 186290
diff --git a/results/train/parabola/problem_5056.png b/results/train/parabola/problem_5056.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2fbdd2ee913836079ee979277b34d0e4ba5347c
--- /dev/null
+++ b/results/train/parabola/problem_5056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f0bfd660e76a8595ca1ebd3fb4dc776fc54a96cdde19ebfef9efa4221757381
+size 187335
diff --git a/results/train/parabola/problem_5061.png b/results/train/parabola/problem_5061.png
new file mode 100644
index 0000000000000000000000000000000000000000..75601844d777c4c1a32fe6159b06d41fe3d03ee5
--- /dev/null
+++ b/results/train/parabola/problem_5061.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:261efd7a920e841a33fbda7e40f20f1ae5f33b0aebc7f0badc3402faaad8efba
+size 183955
diff --git a/results/train/parabola/problem_5063.png b/results/train/parabola/problem_5063.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbb5b6b1ea7fb8a68c4d50583aa39d02aea95f88
--- /dev/null
+++ b/results/train/parabola/problem_5063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:326de6c94bd34358776f04f36d0b362eead77dcc66157caf56c147f6400735a4
+size 186181
diff --git a/results/train/parabola/problem_5065.png b/results/train/parabola/problem_5065.png
new file mode 100644
index 0000000000000000000000000000000000000000..85bfe9435a38a13f206ece2db5bc1c16d6409b39
--- /dev/null
+++ b/results/train/parabola/problem_5065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d2d4f18fdb7c1fd203272b9dbf86e9453931f420cde396b5f68f340b47c2a21c
+size 193028
diff --git a/results/train/parabola/problem_5071.png b/results/train/parabola/problem_5071.png
new file mode 100644
index 0000000000000000000000000000000000000000..4168877a9fa2bf433177de3e139772cb4a5650d3
--- /dev/null
+++ b/results/train/parabola/problem_5071.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fc6ba9ed3a7fe7ba9ed49b88757274acd8573d7141baec4fb86a1bdaec5bc01b
+size 197900
diff --git a/results/train/parabola/problem_5072.png b/results/train/parabola/problem_5072.png
new file mode 100644
index 0000000000000000000000000000000000000000..55b384ccc0b75cf99d885a7e7ca47d01cf1dfd9b
--- /dev/null
+++ b/results/train/parabola/problem_5072.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17f9d9dc1185a2f34087d129fad8bd3781f1ce6263e450f928d55b9d0511847b
+size 178339
diff --git a/results/train/parabola/problem_5078.png b/results/train/parabola/problem_5078.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef277c6127c5f204a5429b27357f5d626f2ea3f6
--- /dev/null
+++ b/results/train/parabola/problem_5078.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f51f331f8ea1237d77ed071b42c35ac4252b522cd4446e091e5454658dcf0e9e
+size 176650
diff --git a/results/train/parabola/problem_5085.png b/results/train/parabola/problem_5085.png
new file mode 100644
index 0000000000000000000000000000000000000000..31702e0c467d36ea0bcec0a25dcdd607103fce40
--- /dev/null
+++ b/results/train/parabola/problem_5085.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:002eb21e0fbf32c6c425d9824935187cf841f12b763dfc1c35aadec98e6b55f3
+size 191226
diff --git a/results/train/parabola/problem_5086.png b/results/train/parabola/problem_5086.png
new file mode 100644
index 0000000000000000000000000000000000000000..00ae35301955572c47d9bf271dc79af33ea04dac
--- /dev/null
+++ b/results/train/parabola/problem_5086.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b955fa29d820470736267195f38b04fe1d533e24d2d9638564a49139899b6e50
+size 188454
diff --git a/results/train/parabola/problem_5102.png b/results/train/parabola/problem_5102.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e91ae707a232989feb035718bce64ffee95317c
--- /dev/null
+++ b/results/train/parabola/problem_5102.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a531fb8326e210a32896ecf37140c97072735976800322adadd64322dc40b05c
+size 191686
diff --git a/results/train/parabola/problem_5103.png b/results/train/parabola/problem_5103.png
new file mode 100644
index 0000000000000000000000000000000000000000..46a184aca9fd660de382a503554e92c1a64631e9
--- /dev/null
+++ b/results/train/parabola/problem_5103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ea0e62b97da578bcf5306499d633ede871bcdf41b5e6f526e55437ae066a8a9
+size 188242
diff --git a/results/train/parabola/problem_5104.png b/results/train/parabola/problem_5104.png
new file mode 100644
index 0000000000000000000000000000000000000000..7adb5917743cb2b33a73ea083954b93a6df51baf
--- /dev/null
+++ b/results/train/parabola/problem_5104.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5a2a5bef35684730eafb4f0c55c1af7753bbb08ae1fd295ffe266413bfbc3fb
+size 184552
diff --git a/results/train/parabola/problem_5108.png b/results/train/parabola/problem_5108.png
new file mode 100644
index 0000000000000000000000000000000000000000..15216d16eb1719509f214e9db5d5921db7af1cbb
--- /dev/null
+++ b/results/train/parabola/problem_5108.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b24d907bcc3c1ec09bde576c711145cfb88805f89ebdc15adabaa0140b9e7c4a
+size 194552
diff --git a/results/train/parabola/problem_5110.png b/results/train/parabola/problem_5110.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d3546537a4e22feb1c60f52c175de46c7e87749
--- /dev/null
+++ b/results/train/parabola/problem_5110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39f1697d7f2732546d0a6fc3437aa3292049f74ac0a01787d37601979294ff71
+size 180969
diff --git a/results/train/parabola/problem_5111.png b/results/train/parabola/problem_5111.png
new file mode 100644
index 0000000000000000000000000000000000000000..f30db4617359f6921ba13c85b5b73bbe3d659c6a
--- /dev/null
+++ b/results/train/parabola/problem_5111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a20e02466a9b654ebffa78401438e0f3986f8524f70429fdc5c367344f7415d
+size 195576
diff --git a/results/train/parabola/problem_5115.png b/results/train/parabola/problem_5115.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a1e02c8afd9865fd2a77e4fb2ee1e66c69f13eb
--- /dev/null
+++ b/results/train/parabola/problem_5115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a7daeedd08169b2a2ed7c1e7ac03786436fd30b1c58954f845e01f56cc549d6
+size 189924
diff --git a/results/train/parabola/problem_5118.png b/results/train/parabola/problem_5118.png
new file mode 100644
index 0000000000000000000000000000000000000000..81cdcddfecdaa13b18da51e2939fc4755a6c3cf1
--- /dev/null
+++ b/results/train/parabola/problem_5118.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e8b603312a27b37560aed5f4297eebe7a9a29f7e5aea8e3a9d5dcb2fbe81bc93
+size 187530
diff --git a/results/train/parabola/problem_5129.png b/results/train/parabola/problem_5129.png
new file mode 100644
index 0000000000000000000000000000000000000000..ab8dd1128364c49241042cc8f8ee8e70c5f5f175
--- /dev/null
+++ b/results/train/parabola/problem_5129.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03bcea56cbf7bbb4ab30958216e92d7cfbc185592dd56d252f3afc190c4bb599
+size 207424
diff --git a/results/train/parabola/problem_5131.png b/results/train/parabola/problem_5131.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7c5953e02c6964a5ef1687e94ab2429727bfc3f
--- /dev/null
+++ b/results/train/parabola/problem_5131.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf54e2c6b55e3e772c4e2e0f0c581f0354430d3fa934f619f5d9c632909cf891
+size 195125
diff --git a/results/train/parabola/problem_5134.png b/results/train/parabola/problem_5134.png
new file mode 100644
index 0000000000000000000000000000000000000000..f89f602c52ae107c32725d2d3507a6346723e608
--- /dev/null
+++ b/results/train/parabola/problem_5134.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa678da4a11aa82d23b521212729f9139fc5af1f3c98e1285c72f01841d0f7e2
+size 188462
diff --git a/results/train/parabola/problem_5143.png b/results/train/parabola/problem_5143.png
new file mode 100644
index 0000000000000000000000000000000000000000..310d72200e24ab6a1a328eee7b5dc75608be9ffe
--- /dev/null
+++ b/results/train/parabola/problem_5143.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c8a6fae2b530e620deb4309793d040206d2fc5b4d3f67b6cd7c90ef84bed1a7
+size 202237
diff --git a/results/train/parabola/problem_5145.png b/results/train/parabola/problem_5145.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ac75288fad2184131af080dcfa9270d82a40e89
--- /dev/null
+++ b/results/train/parabola/problem_5145.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8804803dc3a3118996f1f12eb4e407788c746a7f49f35c0b50923f0c421c929
+size 188095
diff --git a/results/train/parabola/problem_5147.png b/results/train/parabola/problem_5147.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe9e0565bd501854c617e36ec3ee58db3748d5b2
--- /dev/null
+++ b/results/train/parabola/problem_5147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1fa76bb151c89073bacc0407e84eb7d6dcde1fa41bf887016f417de5f45cb1a
+size 187737
diff --git a/results/train/parabola/problem_5149.png b/results/train/parabola/problem_5149.png
new file mode 100644
index 0000000000000000000000000000000000000000..07829a3454d1120c03359d4545fd6c85869bf281
--- /dev/null
+++ b/results/train/parabola/problem_5149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:563185600c3ac976c0dbee5a36b7460b07eaebb99e5640b742faac73cb8a8e45
+size 192842
diff --git a/results/train/parabola/problem_5150.png b/results/train/parabola/problem_5150.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c30aabdaf1ac8f3cc40cc538628643c8aa97e27
--- /dev/null
+++ b/results/train/parabola/problem_5150.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5aa9a7ba17a2a5a7bca93777ce5e1eaa80ae86604d4f7c6f6bd92114d1681156
+size 184535
diff --git a/results/train/parabola/problem_5157.png b/results/train/parabola/problem_5157.png
new file mode 100644
index 0000000000000000000000000000000000000000..86e999542483126804c458ea9cbeff6ffea61157
--- /dev/null
+++ b/results/train/parabola/problem_5157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c562cc5ecd04026c54d488bc5a7d4bc01cf64813877675403b7dad180ea8201e
+size 195141
diff --git a/results/train/parabola/problem_5161.png b/results/train/parabola/problem_5161.png
new file mode 100644
index 0000000000000000000000000000000000000000..dde79e4a0737072d3832eb26115f196fcb98cde5
--- /dev/null
+++ b/results/train/parabola/problem_5161.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b76a9acaf744b606646ec5ad4badcdf03ad59ee55986e0d44855fc643571035
+size 195909
diff --git a/results/train/parabola/problem_5165.png b/results/train/parabola/problem_5165.png
new file mode 100644
index 0000000000000000000000000000000000000000..15879a94ad8e63df98f5e3af8d7b651b45d3900e
--- /dev/null
+++ b/results/train/parabola/problem_5165.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6345f75e904f3e564395fec479f1049e162ba32a4d242adced1769de511f8df3
+size 186652
diff --git a/results/train/parabola/problem_5172.png b/results/train/parabola/problem_5172.png
new file mode 100644
index 0000000000000000000000000000000000000000..2a95ca3b36f86e76f101111fd10fc5b00e9f4216
--- /dev/null
+++ b/results/train/parabola/problem_5172.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a4f2e69732d8f3ef2d9d73b3f88ec88e8662d768f877c4f61da23d74e6f8636
+size 186405
diff --git a/results/train/parabola/problem_5174.png b/results/train/parabola/problem_5174.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e1938e4d734b27c4308fbc15a26d498a36f9851
--- /dev/null
+++ b/results/train/parabola/problem_5174.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1280f495ba3de525e05eed8ac0d593959e882ec5dc01183fe4a1e3747e095131
+size 184508
diff --git a/results/train/parabola/problem_5175.png b/results/train/parabola/problem_5175.png
new file mode 100644
index 0000000000000000000000000000000000000000..a32487938462acc708fb3a6f849ef0b6e0da1f20
--- /dev/null
+++ b/results/train/parabola/problem_5175.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:618e6cd389ba11c9a60d30b992c65e7624119c550b145a1780547430ab76af18
+size 181438
diff --git a/results/train/parabola/problem_5181.png b/results/train/parabola/problem_5181.png
new file mode 100644
index 0000000000000000000000000000000000000000..b931dc2431540123dcff3fd46b110c3ac55342b6
--- /dev/null
+++ b/results/train/parabola/problem_5181.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6384f826f6e7f1826550d5460394a4452854ed726b348a51d42b9f11eaaabd7
+size 198689
diff --git a/results/train/parabola/problem_5182.png b/results/train/parabola/problem_5182.png
new file mode 100644
index 0000000000000000000000000000000000000000..152e214089128ffa7b6913708f1de12d84ac252c
--- /dev/null
+++ b/results/train/parabola/problem_5182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d60d8d0c4d8211e803d5a657e8fd43ba2acc5ab99cd18f10db31476225e0fab4
+size 189423
diff --git a/results/train/parabola/problem_5186.png b/results/train/parabola/problem_5186.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecd24a074d7f1a8eb24b1f4339e3c0a8d6379267
--- /dev/null
+++ b/results/train/parabola/problem_5186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:60b053f5108040c513d985695e8bea08447d9ab0d4fda44916e2d64b8b5f2d38
+size 198555
diff --git a/results/train/parabola/problem_5188.png b/results/train/parabola/problem_5188.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca40f04d6b963cb7409e3f5d96d62367e0286621
--- /dev/null
+++ b/results/train/parabola/problem_5188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1e6f1b551f26f1623e10c7b9bf6f949a45f8d25672a05ac74883ab3226648b6
+size 202882
diff --git a/results/train/parabola/problem_5191.png b/results/train/parabola/problem_5191.png
new file mode 100644
index 0000000000000000000000000000000000000000..15038462a3dd89283d2313c80b6ba4691d46e999
--- /dev/null
+++ b/results/train/parabola/problem_5191.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1df64985abb221eab1a9cac1b4df9dd3645983214e5f69bcfd8e0e0152ec7457
+size 198102
diff --git a/results/train/parabola/problem_5192.png b/results/train/parabola/problem_5192.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2129825356c6c81c37596e42811e00e3aab19e1
--- /dev/null
+++ b/results/train/parabola/problem_5192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2d9470270f7c0a054f5554d80d9b40fb44934da617785b869949aad6d1c77e5
+size 206574
diff --git a/results/train/parabola/problem_5194.png b/results/train/parabola/problem_5194.png
new file mode 100644
index 0000000000000000000000000000000000000000..69963c9d190ab5aa68b43c50b9226d9aede22284
--- /dev/null
+++ b/results/train/parabola/problem_5194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a94ca07b8b0c96f9dad2d8459c4825ebca2a8f3684a4ef94967d2ec28cf51057
+size 191216
diff --git a/results/train/parabola/problem_5199.png b/results/train/parabola/problem_5199.png
new file mode 100644
index 0000000000000000000000000000000000000000..26d77b587a77df689be801c1754e240ab0b562c9
--- /dev/null
+++ b/results/train/parabola/problem_5199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eee8e5495561a91f81a9231f20d105464cce069ce3b855c42569c876d2341941
+size 200712
diff --git a/results/train/parabola/problem_5200.png b/results/train/parabola/problem_5200.png
new file mode 100644
index 0000000000000000000000000000000000000000..b55615634089afc652cea553f0ae35d905013d1d
--- /dev/null
+++ b/results/train/parabola/problem_5200.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cfaeebec108d2c98fbdbb91d1332a71f6dd78a26488595399b9d62e656382b7e
+size 180642
diff --git a/results/train/parabola/problem_5201.png b/results/train/parabola/problem_5201.png
new file mode 100644
index 0000000000000000000000000000000000000000..63fc31b20c50722461f61b54ae31127f8f4da98f
--- /dev/null
+++ b/results/train/parabola/problem_5201.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a2a9744a2d9f2a1c41b23d9bb1f5e3f31e72a5d76ed968a81c9b3a72eef55417
+size 197216
diff --git a/results/train/parabola/problem_5212.png b/results/train/parabola/problem_5212.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3b273c64d3a74814aae9800e87c9d1345de776e
--- /dev/null
+++ b/results/train/parabola/problem_5212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0c761200a8359f689eac012bfe652d8461d3f5b4f5d33b9c3153fe6138f77def
+size 182669
diff --git a/results/train/parabola/problem_5225.png b/results/train/parabola/problem_5225.png
new file mode 100644
index 0000000000000000000000000000000000000000..61d15b3a5025b0a1fb204bae026899092a12dc60
--- /dev/null
+++ b/results/train/parabola/problem_5225.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0a3bf84ae06149ea4d5efdead63824303d267afd0a768e01f82e3580ccdb0e4
+size 187830
diff --git a/results/train/parabola/problem_5227.png b/results/train/parabola/problem_5227.png
new file mode 100644
index 0000000000000000000000000000000000000000..7efe3a1cb400e8fe7ef6fc63812a32189da7cedb
--- /dev/null
+++ b/results/train/parabola/problem_5227.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b76c7b490328eb392b637e7c4124f4da192374f1d3ba42a3a4b32f9049253646
+size 203505
diff --git a/results/train/parabola/problem_5232.png b/results/train/parabola/problem_5232.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddd93d54f877d1d6b2b4b8c06359e288bb8ce8e7
--- /dev/null
+++ b/results/train/parabola/problem_5232.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a092050350b549f3b6ab9f74bbc34755d5b022c892221e369641bb193aff3c4
+size 191463
diff --git a/results/train/parabola/problem_5242.png b/results/train/parabola/problem_5242.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd210aa91f342756848d7d383174f96e3c93c518
--- /dev/null
+++ b/results/train/parabola/problem_5242.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b397daaae5b212855eaa888f2b37e08ca39594659d9b8cd2342166dd0fdceb22
+size 201260
diff --git a/results/train/parabola/problem_5243.png b/results/train/parabola/problem_5243.png
new file mode 100644
index 0000000000000000000000000000000000000000..d26eaef6a08de5cba646837304cf8335b77f0808
--- /dev/null
+++ b/results/train/parabola/problem_5243.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08525496a7620a6057a1e2654706707e9a9d305264e872bca51f006a18e1aeea
+size 182020
diff --git a/results/train/parabola/problem_5244.png b/results/train/parabola/problem_5244.png
new file mode 100644
index 0000000000000000000000000000000000000000..0888045a2fa9dad14e25019d7e4bea1911ae87e6
--- /dev/null
+++ b/results/train/parabola/problem_5244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10091282d0247b5f4550456841b494990b74bdfe8377fc1ee4fa7bbeb6c7d289
+size 201755
diff --git a/results/train/parabola/problem_5245.png b/results/train/parabola/problem_5245.png
new file mode 100644
index 0000000000000000000000000000000000000000..b80bca6be2b46706cc809ab3aa4d5a6312cf21a7
--- /dev/null
+++ b/results/train/parabola/problem_5245.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b8aa8de8c912e5f01792d54bcc102e734d5374ba91640c8d9efabb3fed35d0f
+size 183883
diff --git a/results/train/parabola/problem_5247.png b/results/train/parabola/problem_5247.png
new file mode 100644
index 0000000000000000000000000000000000000000..a66b6febf1754a8ced010a96bda9707cdca8da13
--- /dev/null
+++ b/results/train/parabola/problem_5247.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:59ff29565987f1b414fd6107c52b96c8b9ab55a49f847bf2b15b23504fb92f3b
+size 187087
diff --git a/results/train/parabola/problem_5257.png b/results/train/parabola/problem_5257.png
new file mode 100644
index 0000000000000000000000000000000000000000..46497231810f5210914ac6ce29536d65a0b42836
--- /dev/null
+++ b/results/train/parabola/problem_5257.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f72e6c54d1839b967717783921a1f66fc85cad1f21409f24f09ea94f787d2f74
+size 191028
diff --git a/results/train/parabola/problem_5264.png b/results/train/parabola/problem_5264.png
new file mode 100644
index 0000000000000000000000000000000000000000..7974d5feb2920810fa95b8efd354181fe0b4175a
--- /dev/null
+++ b/results/train/parabola/problem_5264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:19ed100aadd7b46674e728e42570dcb3ad661f82eaf18bdc16d340bbea484e69
+size 188311
diff --git a/results/train/parabola/problem_5269.png b/results/train/parabola/problem_5269.png
new file mode 100644
index 0000000000000000000000000000000000000000..adcab9f5c424a8f28ddf9ec5ddca54644aace509
--- /dev/null
+++ b/results/train/parabola/problem_5269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa2071713e083e42c8e26939112c9827ecfd7fe65c19bd6caae7841ddb38eac7
+size 195995
diff --git a/results/train/parabola/problem_5271.png b/results/train/parabola/problem_5271.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5f16e87ae34b5fe97f9d392fc0acfa82de2a183
--- /dev/null
+++ b/results/train/parabola/problem_5271.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e424acbc849dbc9b56df541411b47ccbc4657c2f1e589070eba0344d6517209d
+size 191560
diff --git a/results/train/parabola/problem_5274.png b/results/train/parabola/problem_5274.png
new file mode 100644
index 0000000000000000000000000000000000000000..734f97768864d057161183a2c8a0bf4050827815
--- /dev/null
+++ b/results/train/parabola/problem_5274.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8eaa0c74ad748e7fde8e27d44233e36d2a9f8d42e9055036a49ba00a5234518e
+size 168294
diff --git a/results/train/parabola/problem_5277.png b/results/train/parabola/problem_5277.png
new file mode 100644
index 0000000000000000000000000000000000000000..96741ee56a4bcf7003d0a0acd3b4c8e42c155e4e
--- /dev/null
+++ b/results/train/parabola/problem_5277.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:02a2ed9eeedc81c9746f569605c3ef2346c4e8256d31697e25bc13fb5bbe0f0e
+size 188770
diff --git a/results/train/parabola/problem_5288.png b/results/train/parabola/problem_5288.png
new file mode 100644
index 0000000000000000000000000000000000000000..529d7c91f54043014eb04cd00aa7524cd593f696
--- /dev/null
+++ b/results/train/parabola/problem_5288.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5916a8b9ceb880f982cc8a5bc428b21c595efd68df88d240e88cc955645589a
+size 190089
diff --git a/results/train/parabola/problem_5299.png b/results/train/parabola/problem_5299.png
new file mode 100644
index 0000000000000000000000000000000000000000..e303173e01ccc8e8febd859fa9406fe0a55cb956
--- /dev/null
+++ b/results/train/parabola/problem_5299.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8439a031658a9ad2a8093a9247fd8a66f0d63fc8cff53a4f05cf709ea9581637
+size 188921
diff --git a/results/train/parabola/problem_5302.png b/results/train/parabola/problem_5302.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5fc02a7fff370853f19c17702bc6ef4a49745bc
--- /dev/null
+++ b/results/train/parabola/problem_5302.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4fa9da6114399e04387bb0bb0e0a94db9ef06756c6350e963264a73fc76b6901
+size 184056
diff --git a/results/train/parabola/problem_5306.png b/results/train/parabola/problem_5306.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb9f6a0d0fc22662cba8997402856c60b88cc319
--- /dev/null
+++ b/results/train/parabola/problem_5306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f7abe89fc4d8094c7cc072ea0f7a5e21e7894c312732122d30ba821b9067257
+size 203429
diff --git a/results/train/parabola/problem_5311.png b/results/train/parabola/problem_5311.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca16bb2f21ef96188a6ace06177f5f895388a78a
--- /dev/null
+++ b/results/train/parabola/problem_5311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48934a8ce29f11760f0c9e47aed49b9919764d768906c50a44d234f55cee4666
+size 197376
diff --git a/results/train/parabola/problem_5316.png b/results/train/parabola/problem_5316.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5183bf3acc8b582649bf7847438d6a4bed6293f
--- /dev/null
+++ b/results/train/parabola/problem_5316.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e8f438229727d382a29e171499392f795c84cef4b4b6d099f990d8a8fa6f9fe
+size 185202
diff --git a/results/train/parabola/problem_5318.png b/results/train/parabola/problem_5318.png
new file mode 100644
index 0000000000000000000000000000000000000000..e594d5ea60794c64ac2abd619fe464c11c8fb0ce
--- /dev/null
+++ b/results/train/parabola/problem_5318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb5019ad716d0950f41c0ae11b83c874f208c9cc78e06e92533c307dc01620d6
+size 188628
diff --git a/results/train/parabola/problem_5324.png b/results/train/parabola/problem_5324.png
new file mode 100644
index 0000000000000000000000000000000000000000..660411824eae82c3aaee5f6165e3be4e5d9fb6c7
--- /dev/null
+++ b/results/train/parabola/problem_5324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:41f01f8e5205ee8f603f7b8b1173c3dbaa1496bfd5cedde62159ad44a7c9565e
+size 187992
diff --git a/results/train/parabola/problem_5326.png b/results/train/parabola/problem_5326.png
new file mode 100644
index 0000000000000000000000000000000000000000..52b669c4b3c73e5d64fed20118ebe74340fa72c0
--- /dev/null
+++ b/results/train/parabola/problem_5326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f98da8514f6658b147a604048478cfd147ab8aacd11f372d2c47c87e15ab553
+size 158131
diff --git a/results/train/parabola/problem_5333.png b/results/train/parabola/problem_5333.png
new file mode 100644
index 0000000000000000000000000000000000000000..8a0224fddf2421aef43bed82dc0dd119ba96be99
--- /dev/null
+++ b/results/train/parabola/problem_5333.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1fadb8ab5dd77a8c9c9fdf431dd9cff9f5c5b3363ade85e329c1e6114058563
+size 197998
diff --git a/results/train/parabola/problem_5334.png b/results/train/parabola/problem_5334.png
new file mode 100644
index 0000000000000000000000000000000000000000..0600214518eb40511790ad91f69976c65ae029a9
--- /dev/null
+++ b/results/train/parabola/problem_5334.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:391007ce84ecb016bb1b2a960cb72cff43da1a07f211ad881117be58c7e6fe02
+size 153136
diff --git a/results/train/parabola/problem_5339.png b/results/train/parabola/problem_5339.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e7c6587978f15c00eda7a6de7c84020d295f8ac
--- /dev/null
+++ b/results/train/parabola/problem_5339.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9c097adba2abde2cd44446a54a5da29acc272afd6b02a64e4a13486d93c4041a
+size 183032
diff --git a/results/train/parabola/problem_5344.png b/results/train/parabola/problem_5344.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5f1aa3d96b657215b07922f61174491cc2abde1
--- /dev/null
+++ b/results/train/parabola/problem_5344.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b38ff91a69d78d3f7099ba843a9cd146df504fe529af28896be01fcfaf88f583
+size 186305
diff --git a/results/train/parabola/problem_5346.png b/results/train/parabola/problem_5346.png
new file mode 100644
index 0000000000000000000000000000000000000000..7298df6b17d55dc1bf37c109cdfcec31a9edcafb
--- /dev/null
+++ b/results/train/parabola/problem_5346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ac98088a3bcda40a47070d89644cf9d76b2a0b7fd360b5c95888d448229ae60
+size 189988
diff --git a/results/train/parabola/problem_5349.png b/results/train/parabola/problem_5349.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2b875760c4e698f24850483f7d3c99b347e9edf
--- /dev/null
+++ b/results/train/parabola/problem_5349.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7297d71a399a1e872ae5a206e5b7d32badb9ea7a14e8bf0d82b169574c783d8d
+size 188979
diff --git a/results/train/parabola/problem_5353.png b/results/train/parabola/problem_5353.png
new file mode 100644
index 0000000000000000000000000000000000000000..32a236f900bb738a24da4f8f66fd3acb79f6c08a
--- /dev/null
+++ b/results/train/parabola/problem_5353.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1519d81e8510d5a29809f5f962ef838cbb5979b1b34f3210b876efadb99b1afb
+size 202189
diff --git a/results/train/parabola/problem_5355.png b/results/train/parabola/problem_5355.png
new file mode 100644
index 0000000000000000000000000000000000000000..f74a29af409876d684497883e271622db016bdae
--- /dev/null
+++ b/results/train/parabola/problem_5355.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88eaaf629ffd5f93c6be18e7414c1f312970ac823eeef1038c5777528972b9d1
+size 190620
diff --git a/results/train/parabola/problem_5359.png b/results/train/parabola/problem_5359.png
new file mode 100644
index 0000000000000000000000000000000000000000..ae7a60df0fe3333863b62b93ac84eb2f93a77337
--- /dev/null
+++ b/results/train/parabola/problem_5359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7e8d7ae8302d2e2074c057c619571bb1f2ef572d7e7e3b6cc931600d3006d4f1
+size 185222
diff --git a/results/train/parabola/problem_5360.png b/results/train/parabola/problem_5360.png
new file mode 100644
index 0000000000000000000000000000000000000000..021b7b5600348b38e79e28ed4db9f1cff150e453
--- /dev/null
+++ b/results/train/parabola/problem_5360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f971d9d025edd4570a46711c3fc554d6243db4947fda4cdb371f76bebfe55f91
+size 208478
diff --git a/results/train/parabola/problem_5361.png b/results/train/parabola/problem_5361.png
new file mode 100644
index 0000000000000000000000000000000000000000..a58828e70e3c6a15bee933e9e18ba5788e601222
--- /dev/null
+++ b/results/train/parabola/problem_5361.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6bba0e163d8b2ccce387264b0bee7ac9e0f73943a8e3c04a4cbea9680ae19c8b
+size 184949
diff --git a/results/train/parabola/problem_5364.png b/results/train/parabola/problem_5364.png
new file mode 100644
index 0000000000000000000000000000000000000000..e03c2fde5f013807fb1072350bfcb373be4be3c1
--- /dev/null
+++ b/results/train/parabola/problem_5364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ffb57f3b6f30fde5cac43b474f6c67d6185df60a9b8740ceca7eb2472a6b0ba
+size 185982
diff --git a/results/train/parabola/problem_5365.png b/results/train/parabola/problem_5365.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f9d5709464c654d3e1494c26eaef81f23bb7dbe
--- /dev/null
+++ b/results/train/parabola/problem_5365.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b1019f0b9bbb43f8ba29102e882de95a7bdd9102c0d791ab045d45be7990a8b8
+size 203123
diff --git a/results/train/parabola/problem_5371.png b/results/train/parabola/problem_5371.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d5ed1ac277f7db3d23034677e717713330b99d5
--- /dev/null
+++ b/results/train/parabola/problem_5371.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3e3bd5775e97b461381d7b8cdfdd8bd81cb28f92efd4ef0efe2e2e618dcb27c
+size 194763
diff --git a/results/train/parabola/problem_5377.png b/results/train/parabola/problem_5377.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed45de547e107d9fe5581740075ee87e678af479
--- /dev/null
+++ b/results/train/parabola/problem_5377.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:366cf7f430907129c31b514d21110360bcb9b5cb23c9cc448f64b55a6d803b63
+size 188805
diff --git a/results/train/parabola/problem_5378.png b/results/train/parabola/problem_5378.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0bd189309bde6e4c7d30a73b5027b1ff7289657
--- /dev/null
+++ b/results/train/parabola/problem_5378.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa4c6772391c8f9a447f0fe2a8401fc9bb6b07068c425e3b73f280a2a18cc40e
+size 191297
diff --git a/results/train/parabola/problem_5381.png b/results/train/parabola/problem_5381.png
new file mode 100644
index 0000000000000000000000000000000000000000..eab8b090ff11ac1c3b3f769c75a5d32e49356e19
--- /dev/null
+++ b/results/train/parabola/problem_5381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85a5a02d91177a4a776c4b82364df4cecb4bf1b14237a460e8a81c8d14b3e289
+size 209253
diff --git a/results/train/parabola/problem_5388.png b/results/train/parabola/problem_5388.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d8b28c50c90c851a1ef96b83fadacdbfb4da848
--- /dev/null
+++ b/results/train/parabola/problem_5388.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2abaa98cca9890f8c295b0affc98da158a680bcf0185fee130cc898d25a3388
+size 185493
diff --git a/results/train/parabola/problem_5391.png b/results/train/parabola/problem_5391.png
new file mode 100644
index 0000000000000000000000000000000000000000..19240858ce6974651b0172e70dc75ecdb1428a3a
--- /dev/null
+++ b/results/train/parabola/problem_5391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2d6c007859bb4f67c954263d44eb63d3e16c28dfd55f00dc672ea38ac89ac736
+size 196129
diff --git a/results/train/parabola/problem_5408.png b/results/train/parabola/problem_5408.png
new file mode 100644
index 0000000000000000000000000000000000000000..655bca1cf7c30fe7f37a892905dc37e95d6b5fd4
--- /dev/null
+++ b/results/train/parabola/problem_5408.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c86fbdd6411d427b89e6f6d5ebd42005b4d565e5f68e423abdb9cc14106b32e
+size 186565
diff --git a/results/train/parabola/problem_5409.png b/results/train/parabola/problem_5409.png
new file mode 100644
index 0000000000000000000000000000000000000000..aa56ec2eb93e14f7f3c414a33348835d433b8728
--- /dev/null
+++ b/results/train/parabola/problem_5409.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ff9fd403d81c2bfbe9fb112c9702f5a789c5a31a4bd98bf2f168bf3d79875f6
+size 195959
diff --git a/results/train/parabola/problem_5418.png b/results/train/parabola/problem_5418.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b2d341a8b9a4f3d4f6c8deb08fd56b2108a441a
--- /dev/null
+++ b/results/train/parabola/problem_5418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc8067b42daba92158a4672d95b00f882459c027fbb2ab89bf05e82b132932a6
+size 191603
diff --git a/results/train/parabola/problem_5423.png b/results/train/parabola/problem_5423.png
new file mode 100644
index 0000000000000000000000000000000000000000..39589df97cdaccbe8b590b0db5cae33536da5318
--- /dev/null
+++ b/results/train/parabola/problem_5423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab316c9d7a56f31c39ed99d760d44c28c86257890e84a908f6654d1c996bd55c
+size 192186
diff --git a/results/train/parabola/problem_5427.png b/results/train/parabola/problem_5427.png
new file mode 100644
index 0000000000000000000000000000000000000000..c01e14babc48cda024f6b015e407a1ab0dee4d21
--- /dev/null
+++ b/results/train/parabola/problem_5427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3932a67f7db07a98f497abea1f72d1d0dff5d0be674cad666d6581652d913f46
+size 190821
diff --git a/results/train/parabola/problem_5428.png b/results/train/parabola/problem_5428.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f2425cebd49479ff9e22fd108d80da2d75cdb31
--- /dev/null
+++ b/results/train/parabola/problem_5428.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31529f090e3cf22f5356a07c3e6ee20525614f885dbdc679ed57f4e0b5628d9f
+size 181616
diff --git a/results/train/parabola/problem_5429.png b/results/train/parabola/problem_5429.png
new file mode 100644
index 0000000000000000000000000000000000000000..b87601c1adbe6938ca000371f643bf4103576492
--- /dev/null
+++ b/results/train/parabola/problem_5429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:176ebcee8b958072440e3616565ae0cd16c7cae2183679942b422e988379b395
+size 186077
diff --git a/results/train/parabola/problem_5434.png b/results/train/parabola/problem_5434.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e4317a2beb9c25eb85c052e40bd2e0549377398
--- /dev/null
+++ b/results/train/parabola/problem_5434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2b97c545e186dfaa97680c80dbcb9c03cc9bcaba1629c807e883f09eda29be2b
+size 189515
diff --git a/results/train/parabola/problem_5436.png b/results/train/parabola/problem_5436.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d9c4ee630d13793090bf2a1108e5a334da9e53a
--- /dev/null
+++ b/results/train/parabola/problem_5436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:163f9137d3945208ecf47eae283d99f44a9551c23db036445b1e64454528e68d
+size 194491
diff --git a/results/train/parabola/problem_5445.png b/results/train/parabola/problem_5445.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fcaf61308de9d8dd702107cfdc63550d2b88b34
--- /dev/null
+++ b/results/train/parabola/problem_5445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5060f70f97c7e9f64ab271c1d7848c3db656c0c057107b90437d530b375ec13
+size 166116
diff --git a/results/train/parabola/problem_5446.png b/results/train/parabola/problem_5446.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1ec17c7f412afbc0f33e227f3e9c7c6cb479837
--- /dev/null
+++ b/results/train/parabola/problem_5446.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3466cf251a8fa76cd890fd562083677b8f5333263a38ac9139a516389de7a0bc
+size 188080
diff --git a/results/train/parabola/problem_5449.png b/results/train/parabola/problem_5449.png
new file mode 100644
index 0000000000000000000000000000000000000000..9605f2b2164744c4f979c94ce110cbf5cd0d5732
--- /dev/null
+++ b/results/train/parabola/problem_5449.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f58b8bb393866b88565916d76cdb75f0b1c75a767eb19972cc6d1b446d598540
+size 184455
diff --git a/results/train/parabola/problem_5450.png b/results/train/parabola/problem_5450.png
new file mode 100644
index 0000000000000000000000000000000000000000..5bf3b845b2dc1b5a5d8f758d001efce72b166efa
--- /dev/null
+++ b/results/train/parabola/problem_5450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5b7cfbe3e9fb7252397a2bac589dd5d075b58e66bca44c9a6b500b6491d8d0e8
+size 184910
diff --git a/results/train/parabola/problem_5455.png b/results/train/parabola/problem_5455.png
new file mode 100644
index 0000000000000000000000000000000000000000..3746b25510ce52417f7aa9b389ff2285199fa1dc
--- /dev/null
+++ b/results/train/parabola/problem_5455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a5a9d09893d40c2aa115f69c2ea513c55052c913ef499134b046a3a0530d7d5
+size 202106
diff --git a/results/train/parabola/problem_5458.png b/results/train/parabola/problem_5458.png
new file mode 100644
index 0000000000000000000000000000000000000000..582152de7c53d87bec55a276aae73af97f19dfc7
--- /dev/null
+++ b/results/train/parabola/problem_5458.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f2ec84c631c005e69b92a68b4172030f7f063431a3747c245516476cd28a519
+size 183847
diff --git a/results/train/parabola/problem_5459.png b/results/train/parabola/problem_5459.png
new file mode 100644
index 0000000000000000000000000000000000000000..88aca3fc313c1fa5c98142fe6c4c6d664874fd79
--- /dev/null
+++ b/results/train/parabola/problem_5459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1654321027d70cf36c69caf1254c06a27e01576ac33f9e8b47e566da42fdcc29
+size 200192
diff --git a/results/train/parabola/problem_5464.png b/results/train/parabola/problem_5464.png
new file mode 100644
index 0000000000000000000000000000000000000000..96b30305cf8c5fc27631f77e665f42bf73e359ae
--- /dev/null
+++ b/results/train/parabola/problem_5464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d13a22d12f64dfafdaef61522f5b5597188c1553d5fa8a78372f2ad44505e7e
+size 195020
diff --git a/results/train/parabola/problem_5467.png b/results/train/parabola/problem_5467.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b7f7a99b2754796dde18c2b3324a480a6bf05dc
--- /dev/null
+++ b/results/train/parabola/problem_5467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:35deb74e0ed149d08e2600711c44c303d4478b3b79ca632e399ae52d01f4a99c
+size 151908
diff --git a/results/train/parabola/problem_5468.png b/results/train/parabola/problem_5468.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ddfa01060a3ffeace46a0eafbcf97a0c21715ed
--- /dev/null
+++ b/results/train/parabola/problem_5468.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:77690226d758c3a2433183f199e598ec73f49d9bb084de48e59c2e060e28726e
+size 201453
diff --git a/results/train/parabola/problem_5474.png b/results/train/parabola/problem_5474.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8d16caea49ccbaa23d128ef6e6f4003a94fd015
--- /dev/null
+++ b/results/train/parabola/problem_5474.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07fd765dc4e951fc97b46e5fd14ffc49784166fb984b020cf9d0013f5e346ba4
+size 186763
diff --git a/results/train/parabola/problem_5483.png b/results/train/parabola/problem_5483.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b2e092e032290204785b8d3dd362af819bd070c
--- /dev/null
+++ b/results/train/parabola/problem_5483.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7453b9a74b3b69a544627494e7ce3a8aa6200ffc8b386b5039a45ec645f5879e
+size 157361
diff --git a/results/train/parabola/problem_5488.png b/results/train/parabola/problem_5488.png
new file mode 100644
index 0000000000000000000000000000000000000000..a99f6a857d5a069a1e46ea7d743eb8d28b81b793
--- /dev/null
+++ b/results/train/parabola/problem_5488.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f4ba7f311a856b5ae8014ccbcf3b1795e1bea9cdfdf1676bd197f269872d9aea
+size 189227
diff --git a/results/train/parabola/problem_5499.png b/results/train/parabola/problem_5499.png
new file mode 100644
index 0000000000000000000000000000000000000000..4029c67eb490da59f9fce20456294ba26c75c901
--- /dev/null
+++ b/results/train/parabola/problem_5499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dfe80e5c4eff3adfd512f40d664bcc87f51db740223a4e8dceb852bd01f83ee0
+size 194630
diff --git a/results/train/parabola/problem_5502.png b/results/train/parabola/problem_5502.png
new file mode 100644
index 0000000000000000000000000000000000000000..29a0ce449bec7428b3b4821a4d59e44b137a503f
--- /dev/null
+++ b/results/train/parabola/problem_5502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99601d7a6215154936dccadf02999475a76aff2c54adafbe6945cc8bad0769e3
+size 187885
diff --git a/results/train/parabola/problem_5511.png b/results/train/parabola/problem_5511.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b4328a7635c1292478b4ac5379850c9effa66d0
--- /dev/null
+++ b/results/train/parabola/problem_5511.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:346c3418a97cd1ee3a6182d1f176b5a015934732fc83d976e7c0776a7ce9073c
+size 188603
diff --git a/results/train/parabola/problem_5514.png b/results/train/parabola/problem_5514.png
new file mode 100644
index 0000000000000000000000000000000000000000..8502650da5fb6cc7b9edceed40e17a628b29bb42
--- /dev/null
+++ b/results/train/parabola/problem_5514.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38d32b1420cf3600e8a59be60281c32bb1758b5192452ab5ab1844ca2d13a5c0
+size 202322
diff --git a/results/train/parabola/problem_5515.png b/results/train/parabola/problem_5515.png
new file mode 100644
index 0000000000000000000000000000000000000000..98f2a9605a13d2acf75ac3fc23fd632ecff02d70
--- /dev/null
+++ b/results/train/parabola/problem_5515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c353a4243686855a23c5b2980b8de810c6b0b348321660dae0491eb93c15ac74
+size 190125
diff --git a/results/train/parabola/problem_5528.png b/results/train/parabola/problem_5528.png
new file mode 100644
index 0000000000000000000000000000000000000000..641c436dfd916eb6344c68a0fed787d806a32f9c
--- /dev/null
+++ b/results/train/parabola/problem_5528.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3cf9b3d4b1b816435c444654334d2d99508f6c4375c37bc25eae84499a0a3857
+size 194889
diff --git a/results/train/parabola/problem_5535.png b/results/train/parabola/problem_5535.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f072ca129d1d7f00f2ec53807c431c9b8c8f278
--- /dev/null
+++ b/results/train/parabola/problem_5535.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:87888282645aa8ac53f36447398d0c819fb3f53cd332cc0500098577d20b3b02
+size 206736
diff --git a/results/train/parabola/problem_5536.png b/results/train/parabola/problem_5536.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e162055a074cd3d3095fe3bfa013520b7484987
--- /dev/null
+++ b/results/train/parabola/problem_5536.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7702044b8d488c078ee6b29e384cc845fde9e229ad80dae5c97670b882cb5d8
+size 191166
diff --git a/results/train/parabola/problem_5539.png b/results/train/parabola/problem_5539.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bf39cc7a4245e3545ff695e42ab1fc36ea5085d
--- /dev/null
+++ b/results/train/parabola/problem_5539.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0e325411e926a8f22c6bb7d767b0ec3dd929e55a474769d3dcdb5f28ad1b2f7
+size 184903
diff --git a/results/train/parabola/problem_5542.png b/results/train/parabola/problem_5542.png
new file mode 100644
index 0000000000000000000000000000000000000000..1591345b80f5855def9f453cd3bb8f363f5ef9a2
--- /dev/null
+++ b/results/train/parabola/problem_5542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a7bbf6311ceb2b21cd947a9d732030bcfcb3d4f6fc771b17b92d2e09cf8dfc19
+size 193145
diff --git a/results/train/parabola/problem_5551.png b/results/train/parabola/problem_5551.png
new file mode 100644
index 0000000000000000000000000000000000000000..63e745dc3e931e1a152d2632db3db6106a4c0edf
--- /dev/null
+++ b/results/train/parabola/problem_5551.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d4d4248ac16c0fc0e2f81f1005c0b73b510d6eaaac6f79c03930bb701787215
+size 178018
diff --git a/results/train/parabola/problem_5553.png b/results/train/parabola/problem_5553.png
new file mode 100644
index 0000000000000000000000000000000000000000..d025da7140c266cb6d2dee76eb25fcaa4356bbf6
--- /dev/null
+++ b/results/train/parabola/problem_5553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8552a31dadec82f7947c16cb5c748d0feeffe2f73ffd934ea7226c4ea93da2ef
+size 209358
diff --git a/results/train/parabola/problem_5554.png b/results/train/parabola/problem_5554.png
new file mode 100644
index 0000000000000000000000000000000000000000..277124b5a19b06e6f7dbcf9d6453a6dab4b96d6d
--- /dev/null
+++ b/results/train/parabola/problem_5554.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cda35676a8e2d05be3b43a8dd80fa67a8924d0d83545139d594115c827caebe2
+size 201933
diff --git a/results/train/parabola/problem_5557.png b/results/train/parabola/problem_5557.png
new file mode 100644
index 0000000000000000000000000000000000000000..c877e5f275341f3fefa4c6a79c8b7f4c40369bb0
--- /dev/null
+++ b/results/train/parabola/problem_5557.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:50872d01ce1d20d38fa2fa9135f4bc51076dc15b0c005a4998a5dd42283ba8f7
+size 181365
diff --git a/results/train/parabola/problem_5558.png b/results/train/parabola/problem_5558.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5e3ecbb2db6b0984a61f8f84e97dce51b93245a
--- /dev/null
+++ b/results/train/parabola/problem_5558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6da1613c97f68a29da24e0583980325eaba345123cf0f5a6b9720cb18ceb43da
+size 195766
diff --git a/results/train/parabola/problem_5559.png b/results/train/parabola/problem_5559.png
new file mode 100644
index 0000000000000000000000000000000000000000..26530a36274b29bd59f1188dadd31a50cae794e5
--- /dev/null
+++ b/results/train/parabola/problem_5559.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a40074813653a6b7ea18c757f4ef7490b0522b674ea7e385ee82295bf082466d
+size 180005
diff --git a/results/train/parabola/problem_5562.png b/results/train/parabola/problem_5562.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9c5c78e3476c0ad6fce2474db0fb01467f524e1
--- /dev/null
+++ b/results/train/parabola/problem_5562.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:14627c23c574d024da9eb5394c2719b7ade14969eb801fe7f664dc4bedc7adf1
+size 185942
diff --git a/results/train/parabola/problem_5570.png b/results/train/parabola/problem_5570.png
new file mode 100644
index 0000000000000000000000000000000000000000..6c8788687678bce8022171baf70b6599afb313a2
--- /dev/null
+++ b/results/train/parabola/problem_5570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a669f012da8bf5b22f0130815092be91da223b8f893be5cc61ab4f691461e0bf
+size 169302
diff --git a/results/train/parabola/problem_5573.png b/results/train/parabola/problem_5573.png
new file mode 100644
index 0000000000000000000000000000000000000000..19bce8fd41a7efb980b1cf9a07a60bfdb86cc9c4
--- /dev/null
+++ b/results/train/parabola/problem_5573.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3244a250f403a983281b19db9f47f8cd31227c8379098f85afbf9d1fac689c63
+size 185881
diff --git a/results/train/parabola/problem_5574.png b/results/train/parabola/problem_5574.png
new file mode 100644
index 0000000000000000000000000000000000000000..a8108c570d740a1c0bac3265568614e73f77d093
--- /dev/null
+++ b/results/train/parabola/problem_5574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb98a65fecd7183be7b164ca50e423c78d3437cbe862d32b29a40144962cbfac
+size 179230
diff --git a/results/train/parabola/problem_5576.png b/results/train/parabola/problem_5576.png
new file mode 100644
index 0000000000000000000000000000000000000000..208defd0b5c8631e93372883a1bdf64354abcc4c
--- /dev/null
+++ b/results/train/parabola/problem_5576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c25cbb08547957c6bd98c6c629f6e4a97871d070e2e9419a9e35cdcb9cb31b0a
+size 186101
diff --git a/results/train/parabola/problem_5582.png b/results/train/parabola/problem_5582.png
new file mode 100644
index 0000000000000000000000000000000000000000..9f8a37b397093438a8dc40bde23f89d892c52bd8
--- /dev/null
+++ b/results/train/parabola/problem_5582.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2281d526a86f4d5103ad55acd9147c2ac916795ac155e6bfb837b38fc153d1ae
+size 204480
diff --git a/results/train/parabola/problem_5583.png b/results/train/parabola/problem_5583.png
new file mode 100644
index 0000000000000000000000000000000000000000..e6b383b1e09237a223dbf54def7ef6e0799bd9c7
--- /dev/null
+++ b/results/train/parabola/problem_5583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c31850cd371580af46496e1cf350aff12a8fa7d143787de00751aeab6a88b60
+size 191445
diff --git a/results/train/parabola/problem_5584.png b/results/train/parabola/problem_5584.png
new file mode 100644
index 0000000000000000000000000000000000000000..44fb8c0b4fef7212bc6fa03132c2ce9c457f5a81
--- /dev/null
+++ b/results/train/parabola/problem_5584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d223e8d5646fa9a967216068bbdd24d8cfcc36b9b1ea2f2dae6a916bb587d446
+size 204857
diff --git a/results/train/parabola/problem_5593.png b/results/train/parabola/problem_5593.png
new file mode 100644
index 0000000000000000000000000000000000000000..4510cddee0e72e1e7335a496298d4964aa9f3dd0
--- /dev/null
+++ b/results/train/parabola/problem_5593.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a2154def5999d9bab8f34e1d5e23eb80f20ca92dcb9d106c76dd4cffc72ef2e
+size 186719
diff --git a/results/train/parabola/problem_5594.png b/results/train/parabola/problem_5594.png
new file mode 100644
index 0000000000000000000000000000000000000000..e151069aa93cf2622cb95acabdf4a986f18c1ed3
--- /dev/null
+++ b/results/train/parabola/problem_5594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:081bf0c3d14158f29e0a5c0a38de5842bff09036a56d1d0546361555bbf7c1c3
+size 183452
diff --git a/results/train/parabola/problem_5596.png b/results/train/parabola/problem_5596.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd56c33a353290371bd46e23931713e5e9a57ae5
--- /dev/null
+++ b/results/train/parabola/problem_5596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbfd8597dec0be455ed93e909ccde7ff1bbaf740876b811b8636dc85970ce915
+size 184387
diff --git a/results/train/parabola/problem_5597.png b/results/train/parabola/problem_5597.png
new file mode 100644
index 0000000000000000000000000000000000000000..06b1f3b8be1bb6f292285b8ed4d9ccd7b5dd621c
--- /dev/null
+++ b/results/train/parabola/problem_5597.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e06dffed5b099245ad2a016cc17dfd56b413ab9fb576401803af956c10c71b8d
+size 185854
diff --git a/results/train/parabola/problem_5599.png b/results/train/parabola/problem_5599.png
new file mode 100644
index 0000000000000000000000000000000000000000..2202937aa0013b036d3cbcb35b9a5be93ffaeced
--- /dev/null
+++ b/results/train/parabola/problem_5599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0b372d8d3f9c0597a67b75645d4c22c5df1de77ec9335ab14dfa444de7b642c
+size 187868
diff --git a/results/train/parabola/problem_5600.png b/results/train/parabola/problem_5600.png
new file mode 100644
index 0000000000000000000000000000000000000000..3091f47b2fdd99e13213418df4e5c44feacd3181
--- /dev/null
+++ b/results/train/parabola/problem_5600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:007741fd9eaeebf03ae4d4635c793518a9884ff06c7165ee7a35c403f2a326a9
+size 195096
diff --git a/results/train/parabola/problem_5605.png b/results/train/parabola/problem_5605.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad0cc6b2a7082152f1504adf422793eb5bf2fa36
--- /dev/null
+++ b/results/train/parabola/problem_5605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:66bb550de81abc4e28a1124f657cc716ac21f1d0b687f0e9c7d78986ef2aeb4b
+size 179935
diff --git a/results/train/parabola/problem_5616.png b/results/train/parabola/problem_5616.png
new file mode 100644
index 0000000000000000000000000000000000000000..8003e3592a01692a009595dab1c2e6cd3238611f
--- /dev/null
+++ b/results/train/parabola/problem_5616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27aa278d930824cb0bbdbe9e16f763989b36de6f90c359527216b647d5079f24
+size 161732
diff --git a/results/train/parabola/problem_5623.png b/results/train/parabola/problem_5623.png
new file mode 100644
index 0000000000000000000000000000000000000000..3bf79327e1c6ef813a920750b68c4bd47dae1ecf
--- /dev/null
+++ b/results/train/parabola/problem_5623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:85168fece8759f75c7e99a88c5d2eb4a1b8d949660f5274d7e988c7d674cd3e4
+size 175115
diff --git a/results/train/parabola/problem_5624.png b/results/train/parabola/problem_5624.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ad19e481ee1d6d8e61b6e11e93fe2d5075e9792
--- /dev/null
+++ b/results/train/parabola/problem_5624.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e683168aa13779ab80a062eacde226bf5360f181235e2bf53d965dae90898ea3
+size 191567
diff --git a/results/train/parabola/problem_5625.png b/results/train/parabola/problem_5625.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3c543e8ec78de81b12ca6399b85d030521b3e4f
--- /dev/null
+++ b/results/train/parabola/problem_5625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:349705f3a0195f2fe2d78b48c4a60df07d3b6585f4de321751b249e7277a6215
+size 190000
diff --git a/results/train/parabola/problem_5628.png b/results/train/parabola/problem_5628.png
new file mode 100644
index 0000000000000000000000000000000000000000..6316598e40ff5ec8b5cb28d82696113ffb2faac5
--- /dev/null
+++ b/results/train/parabola/problem_5628.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e176226eaabbb493c99a78d7a7d62a26d3d3896c38f86817949311ff592cc21c
+size 187012
diff --git a/results/train/parabola/problem_5633.png b/results/train/parabola/problem_5633.png
new file mode 100644
index 0000000000000000000000000000000000000000..3f9764d5ee0b9348fa05202651eba364f2d9c80b
--- /dev/null
+++ b/results/train/parabola/problem_5633.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47eca17c4bf5c508566f66cdea7774fd49f0bca9789bc61f68934b6b188a7bb1
+size 203669
diff --git a/results/train/parabola/problem_5640.png b/results/train/parabola/problem_5640.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5af5841f2a0fe5e9bc33917367b8028c4a409e9
--- /dev/null
+++ b/results/train/parabola/problem_5640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:17c9daf5dd8888f5d02aba40ece2fb182803ca8a036c9ac13ca8f557adf9bf2d
+size 200532
diff --git a/results/train/parabola/problem_5655.png b/results/train/parabola/problem_5655.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca88e48199ecda65ef95ede577c281a35cb72be3
--- /dev/null
+++ b/results/train/parabola/problem_5655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4dfc5293cec55938aa7e8d43ce9f670707c9f18c65b17758c791d64564827d8
+size 151555
diff --git a/results/train/parabola/problem_5656.png b/results/train/parabola/problem_5656.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e2249b0ce5c9446243097fa8d30d56fc31f668c
--- /dev/null
+++ b/results/train/parabola/problem_5656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15af995598f1e4e8c56e2e21c0227ad519f6f5c8f8730db38c17f936332b7862
+size 178377
diff --git a/results/train/parabola/problem_5657.png b/results/train/parabola/problem_5657.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dd5448534944aa978da561c74aaf2fd8653f83e
--- /dev/null
+++ b/results/train/parabola/problem_5657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:44622586e3a567f75d14af047b04f53df696d9ef5253ac819f5df88daa45e0c9
+size 186993
diff --git a/results/train/parabola/problem_5663.png b/results/train/parabola/problem_5663.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec0525d126e1103230133a24d729d043170668c1
--- /dev/null
+++ b/results/train/parabola/problem_5663.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1af0b0c41e194a879af5b6939dbc90c0acefb6480fae9ab74e2bacd4a5c55dfd
+size 200622
diff --git a/results/train/parabola/problem_5669.png b/results/train/parabola/problem_5669.png
new file mode 100644
index 0000000000000000000000000000000000000000..917b91c1f1c16edaff4bc78cd643c97b490c7fae
--- /dev/null
+++ b/results/train/parabola/problem_5669.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2664771f6cb84460e5a25590408e554a90eadfca1bfd440695b9f65c2b087d42
+size 185847
diff --git a/results/train/parabola/problem_5670.png b/results/train/parabola/problem_5670.png
new file mode 100644
index 0000000000000000000000000000000000000000..cba6d1be43b2438f1b31dff2300b2cac22d91550
--- /dev/null
+++ b/results/train/parabola/problem_5670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e731e9493c20d228112a1641a5658bf00d99ef7509e0cd804ca8e17b80f1640c
+size 189437
diff --git a/results/train/parabola/problem_5672.png b/results/train/parabola/problem_5672.png
new file mode 100644
index 0000000000000000000000000000000000000000..d52ccf1e74b51c45836672efb964779cf38b9ce0
--- /dev/null
+++ b/results/train/parabola/problem_5672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:674ae3953ea5c923e8fc52e432a99531249396684f58835fad79f8ffa41f0264
+size 170314
diff --git a/results/train/parabola/problem_5675.png b/results/train/parabola/problem_5675.png
new file mode 100644
index 0000000000000000000000000000000000000000..4242a37844fdeadb1f77f34d9e950b3d4fea4d69
--- /dev/null
+++ b/results/train/parabola/problem_5675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c00fbb72a50b989fd87c0d2bef4663b8eb9b03c683981fccbe01bc78fec9b0d
+size 200016
diff --git a/results/train/parabola/problem_5677.png b/results/train/parabola/problem_5677.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e842fd02acc079c7c416d123dfd7b7560ca042d
--- /dev/null
+++ b/results/train/parabola/problem_5677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:98ffaa251652554ace258a03e0cd4e7857d583c08b0840d264e9a2d86b6e25ce
+size 178934
diff --git a/results/train/parabola/problem_5685.png b/results/train/parabola/problem_5685.png
new file mode 100644
index 0000000000000000000000000000000000000000..71048ec276616f2a0d9af66efd1756111b301c52
--- /dev/null
+++ b/results/train/parabola/problem_5685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb9d71c8c9bd87d24ed8c1bd046eb25d33894d483c69f7efe761c15da6551000
+size 185302
diff --git a/results/train/parabola/problem_5700.png b/results/train/parabola/problem_5700.png
new file mode 100644
index 0000000000000000000000000000000000000000..6dcb928bad5c787a4e65ae617e2fb68c43af5893
--- /dev/null
+++ b/results/train/parabola/problem_5700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ad9255bc8ceb11ea80dd47fb6a1dae4ef45b7c1c4fcf74600a16d250d5623df
+size 196082
diff --git a/results/train/parabola/problem_5702.png b/results/train/parabola/problem_5702.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ba1149085dac32c389b918bacaf708a6f417f18
--- /dev/null
+++ b/results/train/parabola/problem_5702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75aa93f0f1f558bb10d04269dc6205a2ab6e5689acb74df0c386a134d6160fb9
+size 193855
diff --git a/results/train/parabola/problem_5710.png b/results/train/parabola/problem_5710.png
new file mode 100644
index 0000000000000000000000000000000000000000..526956d2f7b637dc1b78dac223e2f8c03634f9f3
--- /dev/null
+++ b/results/train/parabola/problem_5710.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ce96a1905615840f5263afc57a7c7159e2cde85e459b9eb6f0337b8b25cff29e
+size 187511
diff --git a/results/train/parabola/problem_5714.png b/results/train/parabola/problem_5714.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf5d349238f095286eadc9468a32396eac48004f
--- /dev/null
+++ b/results/train/parabola/problem_5714.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7efba6fd924efb51f6a39cfe329ddecd13b09b63200706346a4d891857d26f5
+size 188447
diff --git a/results/train/parabola/problem_5717.png b/results/train/parabola/problem_5717.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f240b2506c773eafe9d87bb916e32ad79c37600
--- /dev/null
+++ b/results/train/parabola/problem_5717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d6c1da715cdaae4846cc4fd2f7c7e987417fa0487b52af303982a4515db634d
+size 195077
diff --git a/results/train/parabola/problem_5718.png b/results/train/parabola/problem_5718.png
new file mode 100644
index 0000000000000000000000000000000000000000..261ec5e418f84f14e64a1c849509c9c533922917
--- /dev/null
+++ b/results/train/parabola/problem_5718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4acfa227e640f817408c35a8254bb991bc1f5dbea6e85e9b52512e1773ce84a4
+size 190138
diff --git a/results/train/parabola/problem_5721.png b/results/train/parabola/problem_5721.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5d68054b0297ab97dc9c65e62107b0b52addd72
--- /dev/null
+++ b/results/train/parabola/problem_5721.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5fc6f0a84b4d2d9d9b79d6f9573eea99f9e4b4bd4312429117823a4a03e6c2d9
+size 182456
diff --git a/results/train/parabola/problem_5740.png b/results/train/parabola/problem_5740.png
new file mode 100644
index 0000000000000000000000000000000000000000..b08ead73c71acb9410ed143cc4680e6c5f34c138
--- /dev/null
+++ b/results/train/parabola/problem_5740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cb37b2b6f44a93b966b89c19fba52d833e71b347853a3b421672d137f0bc14a3
+size 178376
diff --git a/results/train/parabola/problem_5742.png b/results/train/parabola/problem_5742.png
new file mode 100644
index 0000000000000000000000000000000000000000..957f82ca1ae0c29bd723a6c0a899ad147e04ecdc
--- /dev/null
+++ b/results/train/parabola/problem_5742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8da4b7704f3433f454153c290c87d0e11c656f667605569dc2fbf35d1e685039
+size 194875
diff --git a/results/train/parabola/problem_5756.png b/results/train/parabola/problem_5756.png
new file mode 100644
index 0000000000000000000000000000000000000000..c5007555a27fcc26bf43dacedecee6b9538e85f9
--- /dev/null
+++ b/results/train/parabola/problem_5756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b044af7670ae1f72240189ccf592ed7dca9f3f4e51096f6b70447984f4da787
+size 167504
diff --git a/results/train/parabola/problem_5758.png b/results/train/parabola/problem_5758.png
new file mode 100644
index 0000000000000000000000000000000000000000..1e0c73f66dd33982a98fac7672b8b624f3b3776e
--- /dev/null
+++ b/results/train/parabola/problem_5758.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0bb37ddcd1ce4a154bbd265bff8140e01b11ae49a609c6dbbefd5e4403fb2849
+size 191729
diff --git a/results/train/parabola/problem_5760.png b/results/train/parabola/problem_5760.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4114330ed142f697ab3df046875f0476e08d117
--- /dev/null
+++ b/results/train/parabola/problem_5760.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa646b368bd434f3cbc3c362f78161c2ddafb72663734e79d9627df15af87d7f
+size 193774
diff --git a/results/train/parabola/problem_5761.png b/results/train/parabola/problem_5761.png
new file mode 100644
index 0000000000000000000000000000000000000000..e8b9aa72d348843a9bf377e51c772645d2d55bef
--- /dev/null
+++ b/results/train/parabola/problem_5761.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:258a8c63f44c0a4ecc4ec84316ba6f4826600e961a119d00684f55171259d6a0
+size 197776
diff --git a/results/train/parabola/problem_5766.png b/results/train/parabola/problem_5766.png
new file mode 100644
index 0000000000000000000000000000000000000000..d49d472fcd575db9ee85b9cd77ede9020edcb280
--- /dev/null
+++ b/results/train/parabola/problem_5766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db91bd7504f6f3f9cb08f38d8ea8b99c640a6e2de17f056179baa53be8d56722
+size 188037
diff --git a/results/train/parabola/problem_5769.png b/results/train/parabola/problem_5769.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b48c8262a485c0b8673bb086ca12b29743e3d1a
--- /dev/null
+++ b/results/train/parabola/problem_5769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c770dd507a854fed0883c704319803ddf9c188626adfad903e156e36ce7eaac4
+size 194520
diff --git a/results/train/parabola/problem_5771.png b/results/train/parabola/problem_5771.png
new file mode 100644
index 0000000000000000000000000000000000000000..77ce3fa3c344f00d31bfc18e374776f5c1ff4e64
--- /dev/null
+++ b/results/train/parabola/problem_5771.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba6417beb519b79c1a1d443cda2182da38cb4296854f07ce424d4cc918d6fca8
+size 194190
diff --git a/results/train/parabola/problem_5772.png b/results/train/parabola/problem_5772.png
new file mode 100644
index 0000000000000000000000000000000000000000..7eee1e072ab73911bc7c3b45c4c1c0faf28a7d10
--- /dev/null
+++ b/results/train/parabola/problem_5772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c3cd52f3992003cee1d237d4e51bc53ddaa9795e0712a67ec4825a31b3068d2c
+size 188929
diff --git a/results/train/parabola/problem_5773.png b/results/train/parabola/problem_5773.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dad4c7b9b5957633dd001c8fd8dd2b35980b1e8
--- /dev/null
+++ b/results/train/parabola/problem_5773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11ec3cc565ea9be874a507b290e1babd695b902ffd6bcd20c213fb8086b1569b
+size 193473
diff --git a/results/train/parabola/problem_5777.png b/results/train/parabola/problem_5777.png
new file mode 100644
index 0000000000000000000000000000000000000000..546bafd03ebc0de7e9b49c1ca3bbeb498bc17202
--- /dev/null
+++ b/results/train/parabola/problem_5777.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7255621aa1c186469b59476a6f2a082ae3e70a56f0621ea5c09975843c4d339d
+size 188409
diff --git a/results/train/parabola/problem_5779.png b/results/train/parabola/problem_5779.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2f1147cbee1302de44d0940d7551f31bf8b8927
--- /dev/null
+++ b/results/train/parabola/problem_5779.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fd5b1b55561f51abf24ea2131ee448a69b8f474ded6a4cdac63ae84962c9c566
+size 191147
diff --git a/results/train/parabola/problem_5783.png b/results/train/parabola/problem_5783.png
new file mode 100644
index 0000000000000000000000000000000000000000..d877ed7a678cd3c4144a60c7e40de7414c99001e
--- /dev/null
+++ b/results/train/parabola/problem_5783.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:08cdaa1bc5e1064a4717fc80b30acc0c3a8eda959025aba49b0bf91ff7fa1757
+size 192242
diff --git a/results/train/parabola/problem_5785.png b/results/train/parabola/problem_5785.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e5a9353770ebbdbcc1813b582338e995e59a945
--- /dev/null
+++ b/results/train/parabola/problem_5785.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4fbb64f461f40533d36614fc2a089f038b12e1c5633e27ea3516e5e5f944d91
+size 190562
diff --git a/results/train/parabola/problem_5787.png b/results/train/parabola/problem_5787.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b2501ed69e28f89ed64ae56f857a4f530074e51
--- /dev/null
+++ b/results/train/parabola/problem_5787.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:031cfbfa681f79f8873e79f12e0985fa5c56598c4b6c6dac924d3d31c918322f
+size 189500
diff --git a/results/train/parabola/problem_5793.png b/results/train/parabola/problem_5793.png
new file mode 100644
index 0000000000000000000000000000000000000000..6a9b8f7dd22582271c9c13b4fb74f2cfc4ec9f27
--- /dev/null
+++ b/results/train/parabola/problem_5793.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f7690c39ef70dbce8164c223946bcc31c2160a3c4061791315448c836f41dcb
+size 187748
diff --git a/results/train/parabola/problem_5794.png b/results/train/parabola/problem_5794.png
new file mode 100644
index 0000000000000000000000000000000000000000..5122ad6eeec58106be90ea498804f46a232319dc
--- /dev/null
+++ b/results/train/parabola/problem_5794.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:832e593324fe5244c4c5cc4b6069e4f011d1cab84de1736092ea5112061a99b1
+size 200167
diff --git a/results/train/parabola/problem_5796.png b/results/train/parabola/problem_5796.png
new file mode 100644
index 0000000000000000000000000000000000000000..e0bf24a8fb6ebf55ab43f9b6524af8e0f4bc0c2f
--- /dev/null
+++ b/results/train/parabola/problem_5796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f0b898ffb1812de37f71e6a0d5763ef815fbf57cf5e46118d2e613b7bb2246c
+size 204510
diff --git a/results/train/parabola/problem_5797.png b/results/train/parabola/problem_5797.png
new file mode 100644
index 0000000000000000000000000000000000000000..d7c1c201c1ec83badb3ba7befed429ac1e0d6a73
--- /dev/null
+++ b/results/train/parabola/problem_5797.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e83ebcb6976311b9ad142969e6c3bbad219a6e061ed7c8c05b1d514e0b2f245
+size 206862
diff --git a/results/train/parabola/problem_5799.png b/results/train/parabola/problem_5799.png
new file mode 100644
index 0000000000000000000000000000000000000000..3867908079416810845c7a7e3c80493d91706d94
--- /dev/null
+++ b/results/train/parabola/problem_5799.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75c262e97cc37621696b44011cf8ab2a656b935b22e97ef191994f54f2d0d131
+size 191189
diff --git a/results/train/parabola/problem_5802.png b/results/train/parabola/problem_5802.png
new file mode 100644
index 0000000000000000000000000000000000000000..aefa360e2e5d9b72436975464698dbabda3c3afb
--- /dev/null
+++ b/results/train/parabola/problem_5802.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e2730839a39053e039fa4c7da2a34679ead10e6ae235f6ba166f54a84b1a4ab
+size 188402
diff --git a/results/train/parabola/problem_5804.png b/results/train/parabola/problem_5804.png
new file mode 100644
index 0000000000000000000000000000000000000000..afdf1f572256ee315b6aed9d043a8c5c06be1de4
--- /dev/null
+++ b/results/train/parabola/problem_5804.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e46c02239da87dcc8b5f31dfab977716824e381285a66e2317b35d7e7d4986cd
+size 201018
diff --git a/results/train/parabola/problem_5809.png b/results/train/parabola/problem_5809.png
new file mode 100644
index 0000000000000000000000000000000000000000..9e239ec9b45d8c8c61b4fc391dcf0ef414839d84
--- /dev/null
+++ b/results/train/parabola/problem_5809.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:262bdc14be47f17c3784e8f21a27594ddee2b392227e80eec95828894520617d
+size 181990
diff --git a/results/train/parabola/problem_5820.png b/results/train/parabola/problem_5820.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbcdf1fc6fa50ef3ca5daeec83b4f880df3519c2
--- /dev/null
+++ b/results/train/parabola/problem_5820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c8e26d31aced2824981f272c97bb3ec4ec53bdef6326f0b9b161a72212287edf
+size 187149
diff --git a/results/train/parabola/problem_5823.png b/results/train/parabola/problem_5823.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fbbe27b93494bc1115cfa9d3b1106f7dfa0ed6d
--- /dev/null
+++ b/results/train/parabola/problem_5823.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dd8eec98042faa9719a6df75521a49243f3dde64825843577150d1849a71f853
+size 198684
diff --git a/results/train/parabola/problem_5825.png b/results/train/parabola/problem_5825.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb7d38df5363d5ef5761d802a81cd6e3320658fd
--- /dev/null
+++ b/results/train/parabola/problem_5825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cc676d3b29fe7ff8a256abfa5ef0878ec48bb38193432990253e89f438ecbf1b
+size 184296
diff --git a/results/train/parabola/problem_5826.png b/results/train/parabola/problem_5826.png
new file mode 100644
index 0000000000000000000000000000000000000000..b1d641b12c2cb5eb8eb781104b49ebfc179099ea
--- /dev/null
+++ b/results/train/parabola/problem_5826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:541b8188e010a1fdeb501237e54c3e151654327d65c848815430e5c1990df231
+size 197034
diff --git a/results/train/parabola/problem_5834.png b/results/train/parabola/problem_5834.png
new file mode 100644
index 0000000000000000000000000000000000000000..f72b8327397e7705223acc9447796049c247e722
--- /dev/null
+++ b/results/train/parabola/problem_5834.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:49f01bdfeec85e1bd0d5b5ec4b64e12446bd3ba16e08e09b84fefbfe3ceb51e4
+size 185563
diff --git a/results/train/parabola/problem_5843.png b/results/train/parabola/problem_5843.png
new file mode 100644
index 0000000000000000000000000000000000000000..b06209ca0fb2ce9e826c6d9c52550acaaa14ce37
--- /dev/null
+++ b/results/train/parabola/problem_5843.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba77678206a8ba50c281cda9e20652b59e9d8aa3c2a5c1ce1fab43bc9ea146e1
+size 193617
diff --git a/results/train/parabola/problem_5849.png b/results/train/parabola/problem_5849.png
new file mode 100644
index 0000000000000000000000000000000000000000..b8512a0a4bd0e9d0660129782503e49303e8470d
--- /dev/null
+++ b/results/train/parabola/problem_5849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5067ffc20208a1f660f585a2074dc2b26c0e4b5411551a858b3e6768b7f718b1
+size 187700
diff --git a/results/train/parabola/problem_5854.png b/results/train/parabola/problem_5854.png
new file mode 100644
index 0000000000000000000000000000000000000000..9a9b4253463098a0201a8059d75c28e1b6dbc873
--- /dev/null
+++ b/results/train/parabola/problem_5854.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9901d7803974d026b15295459917ee8db56d286d2c9549bea0caa94a313c842a
+size 211103
diff --git a/results/train/parabola/problem_5856.png b/results/train/parabola/problem_5856.png
new file mode 100644
index 0000000000000000000000000000000000000000..b84a999d0addb5360f257053d8004e7e7abc348f
--- /dev/null
+++ b/results/train/parabola/problem_5856.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b59410412a8e3e8b07866460ca4570fe28c9cafa57ec1ab9c09c22ef8324f383
+size 186367
diff --git a/results/train/parabola/problem_5858.png b/results/train/parabola/problem_5858.png
new file mode 100644
index 0000000000000000000000000000000000000000..54267c358e9885691a449dde353b03e11ba19301
--- /dev/null
+++ b/results/train/parabola/problem_5858.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4f68c2c35a25614c145510cb99c1db46e7a2110ddd06c9b4bf3f4b81ac56c3d5
+size 190442
diff --git a/results/train/parabola/problem_5859.png b/results/train/parabola/problem_5859.png
new file mode 100644
index 0000000000000000000000000000000000000000..57a59dd87584a7e5447abe930285ef90905e7947
--- /dev/null
+++ b/results/train/parabola/problem_5859.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a613ac28751b124aeda0d4b8161d4f8abca6f30e87598580280da209063da52b
+size 191108
diff --git a/results/train/parabola/problem_5866.png b/results/train/parabola/problem_5866.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f861fcf779c35ae44c44d85a45a71f93d859498
--- /dev/null
+++ b/results/train/parabola/problem_5866.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c0fe39f9f773b33ef0fcc96a8ade6f80385ce24f287a1dcde8eca6e960a06b3
+size 196423
diff --git a/results/train/parabola/problem_5870.png b/results/train/parabola/problem_5870.png
new file mode 100644
index 0000000000000000000000000000000000000000..30b4b0f4a5eda33a3ce649cc32f521be43351ada
--- /dev/null
+++ b/results/train/parabola/problem_5870.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:99dfe6be7b784800bbd00195fc489ca40eb209d7fcfe43b774d30f9a18a7b415
+size 201077
diff --git a/results/train/parabola/problem_5883.png b/results/train/parabola/problem_5883.png
new file mode 100644
index 0000000000000000000000000000000000000000..d13cfc7d54fcafb14c4577e52cae528f6d4e7734
--- /dev/null
+++ b/results/train/parabola/problem_5883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:559aeba65ff06eb0fb88e02a72b480bfddbece7c70fd5860bc0ccdd4a5f2f8c2
+size 194217
diff --git a/results/train/parabola/problem_5884.png b/results/train/parabola/problem_5884.png
new file mode 100644
index 0000000000000000000000000000000000000000..1601c33c35b3a7009392a89231712164000a50e9
--- /dev/null
+++ b/results/train/parabola/problem_5884.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a50fcffc9e437bdf6e4e6ec7b40e49fbfc2e188796dce6cf7c114fea117f0fe6
+size 189699
diff --git a/results/train/parabola/problem_5890.png b/results/train/parabola/problem_5890.png
new file mode 100644
index 0000000000000000000000000000000000000000..56d90d70d7c740565bb50d623a0172bf8e5a7532
--- /dev/null
+++ b/results/train/parabola/problem_5890.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f3b21d22a8eb43962d8d39028520edb55043e52748ca90a6d6d13dbe7e28ba0
+size 209442
diff --git a/results/train/parabola/problem_5894.png b/results/train/parabola/problem_5894.png
new file mode 100644
index 0000000000000000000000000000000000000000..8ef6c149c07de9695e419db6696045c638c578e7
--- /dev/null
+++ b/results/train/parabola/problem_5894.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8de0403954d3036bed4dbcf1708cc64add0c8957d959df4985d4bdb45a0171c5
+size 174850
diff --git a/results/train/parabola/problem_5896.png b/results/train/parabola/problem_5896.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd6d4a56b43a2416fba68f0b4770662d1173638d
--- /dev/null
+++ b/results/train/parabola/problem_5896.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:041d2ddfbaca6e1cac83006d6e09dc04ca2148d846ff0c9dd20e5292ceb5d8df
+size 191129
diff --git a/results/train/parabola/problem_5904.png b/results/train/parabola/problem_5904.png
new file mode 100644
index 0000000000000000000000000000000000000000..052591e589a9ca273f3475b513542632e6f51c5a
--- /dev/null
+++ b/results/train/parabola/problem_5904.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:521574e34d48567f9fba9d0b841cc00e07561d24135f31c4e6797877cc70e745
+size 191991
diff --git a/results/train/parabola/problem_5912.png b/results/train/parabola/problem_5912.png
new file mode 100644
index 0000000000000000000000000000000000000000..78611cbd8c8d96012f216cb2661d54c895767172
--- /dev/null
+++ b/results/train/parabola/problem_5912.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e7fc792aacc91fee45cf2363af2771e89788433ebd9e020c1754d9b1d6b2935
+size 189778
diff --git a/results/train/parabola/problem_5914.png b/results/train/parabola/problem_5914.png
new file mode 100644
index 0000000000000000000000000000000000000000..1ce49e03b0bafce7c258e56aa7932158dd581d68
--- /dev/null
+++ b/results/train/parabola/problem_5914.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:05a5a914c6d00a0d6b0c97211de148c40ee3c366a89c26305cd9d39d37370a72
+size 186598
diff --git a/results/train/parabola/problem_5915.png b/results/train/parabola/problem_5915.png
new file mode 100644
index 0000000000000000000000000000000000000000..b24a6ca6b497f7dfd353f0c4144b9edfbb380562
--- /dev/null
+++ b/results/train/parabola/problem_5915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5845502819734494630b181e4549d1134fb8ae4240691bc2500fed67d05dfc1b
+size 186977
diff --git a/results/train/parabola/problem_5916.png b/results/train/parabola/problem_5916.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c73ea136fad35759bb1d64ca966e2308a9fb4db
--- /dev/null
+++ b/results/train/parabola/problem_5916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:03abf7e274662e2b68b2349c84deaf6419181856bbf7227128a0cab2ab5e67e1
+size 191530
diff --git a/results/train/parabola/problem_5919.png b/results/train/parabola/problem_5919.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d8f3c9ed13a4a73ff4e658c67ebabba2bb5d0c6
--- /dev/null
+++ b/results/train/parabola/problem_5919.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f3f83c04c42bcee4f227d983a038b852fcefc4dfbfff23c47de97cc7579409a
+size 199481
diff --git a/results/train/parabola/problem_5920.png b/results/train/parabola/problem_5920.png
new file mode 100644
index 0000000000000000000000000000000000000000..db74ed3dc17797e7903df640734b654db7ebf5cb
--- /dev/null
+++ b/results/train/parabola/problem_5920.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e4f65dc37acfb6c9a46027aa6823aec4e02d78d92ee01285c9e1f32a24a56ce
+size 191304
diff --git a/results/train/parabola/problem_5921.png b/results/train/parabola/problem_5921.png
new file mode 100644
index 0000000000000000000000000000000000000000..66d356aaa45dac8440b0ba4dc23bd894ad6902a7
--- /dev/null
+++ b/results/train/parabola/problem_5921.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ffccace56491f5acdfa48f932163989d47705fe4fa9a885de8c56eee69c9109
+size 193953
diff --git a/results/train/parabola/problem_5925.png b/results/train/parabola/problem_5925.png
new file mode 100644
index 0000000000000000000000000000000000000000..094034a4aba2450fc0a0d7b4c82fe02edc3bc33b
--- /dev/null
+++ b/results/train/parabola/problem_5925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4821a1273414f46f22be7273e76747e4016b0071b79ffb09b1c261e510ff61ef
+size 202928
diff --git a/results/train/parabola/problem_5927.png b/results/train/parabola/problem_5927.png
new file mode 100644
index 0000000000000000000000000000000000000000..976a6e7f424ba34330a5b0164eb85693d3271018
--- /dev/null
+++ b/results/train/parabola/problem_5927.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74bde0253d55b6390d3c21da3e37fd2e96b07f46462474e66d304c1b220739aa
+size 179203
diff --git a/results/train/parabola/problem_5931.png b/results/train/parabola/problem_5931.png
new file mode 100644
index 0000000000000000000000000000000000000000..99b97e76812ec7882526e0bc52fead685fa85c8c
--- /dev/null
+++ b/results/train/parabola/problem_5931.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:95e01526a614c7ad905a77f752c28ef2fd0d18800549504cc035ddef6eac4192
+size 193651
diff --git a/results/train/parabola/problem_5938.png b/results/train/parabola/problem_5938.png
new file mode 100644
index 0000000000000000000000000000000000000000..2fb3946b4867a4e38d2d3bcbcb8d07afc1bde3c1
--- /dev/null
+++ b/results/train/parabola/problem_5938.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0f1a350bc2934ff92c1daa7857b72f1c8382644b3519c63a7b7d52c13b770862
+size 184795
diff --git a/results/train/parabola/problem_5939.png b/results/train/parabola/problem_5939.png
new file mode 100644
index 0000000000000000000000000000000000000000..1b5b530d7e5fd9175f11001a7c355f598d543023
--- /dev/null
+++ b/results/train/parabola/problem_5939.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b6ae89dd3a5131540142bef8d549676d90761408cfe6b5b7768239ffdeeb205b
+size 194813
diff --git a/results/train/parabola/problem_5940.png b/results/train/parabola/problem_5940.png
new file mode 100644
index 0000000000000000000000000000000000000000..6b361c136ac54d91f003ebd1571faf4e3d94c3a0
--- /dev/null
+++ b/results/train/parabola/problem_5940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5a1d10efa48680d3a0e5689d85485634f8c9aed981ceb150245f47db2cdc6c57
+size 184770
diff --git a/results/train/parabola/problem_5945.png b/results/train/parabola/problem_5945.png
new file mode 100644
index 0000000000000000000000000000000000000000..dcd7bd93657660879def87d4ac460d8ddeba281f
--- /dev/null
+++ b/results/train/parabola/problem_5945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b228da545196f52cb7a65d387125bbbc948a5aaae8b34be94bd787c2cbd33ebd
+size 199131
diff --git a/results/train/parabola/problem_5946.png b/results/train/parabola/problem_5946.png
new file mode 100644
index 0000000000000000000000000000000000000000..a40bd1976738811f634d2bbb32637b1e0488ee27
--- /dev/null
+++ b/results/train/parabola/problem_5946.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d58bdfedd8b96bf35e544d704f045b7e63a343c353a3f596a06e1767b7f3d887
+size 193244
diff --git a/results/train/parabola/problem_5947.png b/results/train/parabola/problem_5947.png
new file mode 100644
index 0000000000000000000000000000000000000000..18823784f12b5cf2997fd180c56d3480e2f4bc97
--- /dev/null
+++ b/results/train/parabola/problem_5947.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2b329debee8a9a13c71fc9b5c9dc9f31be5ce52a9f816a97f0b1f6eec5a4467
+size 202485
diff --git a/results/train/parabola/problem_5955.png b/results/train/parabola/problem_5955.png
new file mode 100644
index 0000000000000000000000000000000000000000..90521dd50e71cd97dfb9effb7efe0ea307174395
--- /dev/null
+++ b/results/train/parabola/problem_5955.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0437c7d5bfa38b80204d4d04c15fc6acb376cb4c86926a4d0345084e90bf95d
+size 202724
diff --git a/results/train/parabola/problem_5957.png b/results/train/parabola/problem_5957.png
new file mode 100644
index 0000000000000000000000000000000000000000..39feea37af633e184a4db1302bd4d28c30426d17
--- /dev/null
+++ b/results/train/parabola/problem_5957.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:beb7cabb251854c6ad65a2ace3782f367bd8c103e3b7b5d0e40d7fd469f345ab
+size 191025
diff --git a/results/train/parabola/problem_5959.png b/results/train/parabola/problem_5959.png
new file mode 100644
index 0000000000000000000000000000000000000000..18f5b03368eac142d55cfdbcf1918d9ba10f7d85
--- /dev/null
+++ b/results/train/parabola/problem_5959.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bde326fa56d30073d6f4bfb3e750b589b45d1b3afcfd120720c1500a16e08e6
+size 177087
diff --git a/results/train/parabola/problem_5960.png b/results/train/parabola/problem_5960.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d8d1833cf18d14f05c3c57ebbc2b27e998b92d2
--- /dev/null
+++ b/results/train/parabola/problem_5960.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9081065b11c6c9e5f1e989290be3cbd9cc638baedb09e7f0f27aa4678a9243f9
+size 196523
diff --git a/results/train/parabola/problem_5961.png b/results/train/parabola/problem_5961.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e38fd0df8452f6b13f5c048ae25fcbfee7acf85
--- /dev/null
+++ b/results/train/parabola/problem_5961.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa6fa0a23a0cd5ca039c1ff104775ff8485da45a971c290804d006a685d98563
+size 190751
diff --git a/results/train/parabola/problem_5963.png b/results/train/parabola/problem_5963.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b65d7bcd43a979216a7c3f167ef342429a74219
--- /dev/null
+++ b/results/train/parabola/problem_5963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca45a3c21a96657809f969c3f4255c653a644577941f3e72b56869a47e4827e0
+size 182048
diff --git a/results/train/parabola/problem_5964.png b/results/train/parabola/problem_5964.png
new file mode 100644
index 0000000000000000000000000000000000000000..23069ce4ed7197de5f3f335e3d6fee5e55b7b126
--- /dev/null
+++ b/results/train/parabola/problem_5964.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:09f38fe28faf7bf3c275067563a8eebc43dbda82813ec926dfa88ac3734f4e96
+size 185219
diff --git a/results/train/parabola/problem_5966.png b/results/train/parabola/problem_5966.png
new file mode 100644
index 0000000000000000000000000000000000000000..b91938e5d995f7c15ac9bd501e35024362239500
--- /dev/null
+++ b/results/train/parabola/problem_5966.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:450255aa6f342b4cdf16cf006c23943be1f49765e931b5c3cbb7fd882495cca9
+size 195697
diff --git a/results/train/parabola/problem_5968.png b/results/train/parabola/problem_5968.png
new file mode 100644
index 0000000000000000000000000000000000000000..37a75ec574dd32817149b53da4b5682d92b5df9e
--- /dev/null
+++ b/results/train/parabola/problem_5968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c2b707fadde105b9d9910aeba0c150e4961f742b4246ff3b419b86cd9949d4d
+size 192154
diff --git a/results/train/parabola/problem_5973.png b/results/train/parabola/problem_5973.png
new file mode 100644
index 0000000000000000000000000000000000000000..8458fd198702a3dd41489e8e95ec645bb89166f3
--- /dev/null
+++ b/results/train/parabola/problem_5973.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:32afa2ba326c64cf46a8556566c9bb240a47d416d0ddcbacf60d7b9949126a5d
+size 177818
diff --git a/results/train/parabola/problem_5975.png b/results/train/parabola/problem_5975.png
new file mode 100644
index 0000000000000000000000000000000000000000..566579e1319f24f000cc64bc1e9f9a29790e5708
--- /dev/null
+++ b/results/train/parabola/problem_5975.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dcf9bdb89ad242f3d94a629ac97eab57794037a3381abdceeb58e169d8a3d367
+size 188353
diff --git a/results/train/parabola/problem_5978.png b/results/train/parabola/problem_5978.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d4edf696890453be680a0d9189cd93ede72638e
--- /dev/null
+++ b/results/train/parabola/problem_5978.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61c3d36e24a7c6eef024ab19a5759fedbee71a5f6cfcceb3be86934b0eaa51a3
+size 191222
diff --git a/results/train/parabola/problem_6002.png b/results/train/parabola/problem_6002.png
new file mode 100644
index 0000000000000000000000000000000000000000..951e08b53eb35cb7d4ad94da2d182e8cc9c4cb52
--- /dev/null
+++ b/results/train/parabola/problem_6002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:672d5efbfe1e2fb4d3e16468f422a90410573669c56efaccba949df06ac50413
+size 202498
diff --git a/results/train/parabola/problem_6003.png b/results/train/parabola/problem_6003.png
new file mode 100644
index 0000000000000000000000000000000000000000..19c35182760aa7bd063b24010e50e9e6d5d1186d
--- /dev/null
+++ b/results/train/parabola/problem_6003.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5434e96ed9eda8aa1c011667a4d20fd4caa7838eb26bc2b4971b322f62515749
+size 184088
diff --git a/results/train/parabola/problem_6004.png b/results/train/parabola/problem_6004.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea5444ad5c304496d863c61d43fca75772ebdd73
--- /dev/null
+++ b/results/train/parabola/problem_6004.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15949afe968b3533decb3e3f8b63b155d8a12ee9af7ad4720fe2cda0a1836ea9
+size 165090
diff --git a/results/train/parabola/problem_6007.png b/results/train/parabola/problem_6007.png
new file mode 100644
index 0000000000000000000000000000000000000000..3edaf68f0ae34f9c0f7b61351aa1062069786c7c
--- /dev/null
+++ b/results/train/parabola/problem_6007.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:16e12b969881ca341b760ac0765da6ecfae1636fff63c6b6d900868be2307b51
+size 190880
diff --git a/results/train/parabola/problem_6009.png b/results/train/parabola/problem_6009.png
new file mode 100644
index 0000000000000000000000000000000000000000..5b373ab170261987d91a34cbae04a4b765c6752e
--- /dev/null
+++ b/results/train/parabola/problem_6009.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cbf1dcaac94d18911e59b34de3411f0c8f1b146f74f20b3f7dacd0cbabb59d70
+size 166994
diff --git a/results/train/parabola/problem_6012.png b/results/train/parabola/problem_6012.png
new file mode 100644
index 0000000000000000000000000000000000000000..b35616fefb5a8d7cc1ae35879adb082c8baac25b
--- /dev/null
+++ b/results/train/parabola/problem_6012.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aa479401f6e12fc27e1df983ecfd4943028e7ff21e3c8525f5edd8af894ff0e5
+size 183259
diff --git a/results/train/parabola/problem_6013.png b/results/train/parabola/problem_6013.png
new file mode 100644
index 0000000000000000000000000000000000000000..32043a183ba9f00133ace7ee2ea6e6c24c5b7c0c
--- /dev/null
+++ b/results/train/parabola/problem_6013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:820bb5014dac97eb98dbf7527fe565cd7a980df175ffed9d4c9f144e773ff936
+size 180724
diff --git a/results/train/parabola/problem_6018.png b/results/train/parabola/problem_6018.png
new file mode 100644
index 0000000000000000000000000000000000000000..e588f63750f1f9e23cadba289e28d2c9b5066485
--- /dev/null
+++ b/results/train/parabola/problem_6018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f292cd2f2d7b2247ac81cd0363393409c6e4c2d23d4a7290e618e02b9e1c094
+size 195977
diff --git a/results/train/parabola/problem_6026.png b/results/train/parabola/problem_6026.png
new file mode 100644
index 0000000000000000000000000000000000000000..248940c3c54a88fb18a9e3f6be4de5f3f2044e87
--- /dev/null
+++ b/results/train/parabola/problem_6026.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:57f840a6ab6a09920dc37a5008de2b7bc65d880fd1085f36eb2cc1c5281ce619
+size 193005
diff --git a/results/train/parabola/problem_6027.png b/results/train/parabola/problem_6027.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fad2961d27fc3b44c8802dac2ef3e3e705286e7
--- /dev/null
+++ b/results/train/parabola/problem_6027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf8f1797caea204dccea219c5ddc78735b4df1e004f94a0156c524f53cedc195
+size 185105
diff --git a/results/train/parabola/problem_6031.png b/results/train/parabola/problem_6031.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c62953c27f8c2bdab1c0f4bb1e69ff50d5bfc88
--- /dev/null
+++ b/results/train/parabola/problem_6031.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a40df5fb51bbe03f74d350fa0b288f892b937029a0996c748fcf4b6a726a12f0
+size 161589
diff --git a/results/train/parabola/problem_6037.png b/results/train/parabola/problem_6037.png
new file mode 100644
index 0000000000000000000000000000000000000000..37359ce4dddb164b2d4a5e1a991c3b0ff5b0b105
--- /dev/null
+++ b/results/train/parabola/problem_6037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9373d6be041a340858362026e898eee0f9691a9b95e86d9e6bd2d155f25cebd9
+size 200654
diff --git a/results/train/parabola/problem_6038.png b/results/train/parabola/problem_6038.png
new file mode 100644
index 0000000000000000000000000000000000000000..dd197f9df7c7bd342aa277ceccb6383eb74c0771
--- /dev/null
+++ b/results/train/parabola/problem_6038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27f834528522c4828e7cee491bf09dbdb59bc0dfe3d7f6e55d82423d705d9ad8
+size 186947
diff --git a/results/train/parabola/problem_6039.png b/results/train/parabola/problem_6039.png
new file mode 100644
index 0000000000000000000000000000000000000000..1fd4e62ae45b3337717d7d467597e14b12144e70
--- /dev/null
+++ b/results/train/parabola/problem_6039.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc4205060889b5af48db64979503dd7fa0b8e0c20c9d142023ec8728e6c76a2b
+size 199961
diff --git a/results/train/parabola/problem_6040.png b/results/train/parabola/problem_6040.png
new file mode 100644
index 0000000000000000000000000000000000000000..47ebc86b6911ef99377025162202853dfff3ab19
--- /dev/null
+++ b/results/train/parabola/problem_6040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:076850c80e3119f08a61ebb19e714ab9ee657ded839d95750c02607bfeb1e809
+size 188542
diff --git a/results/train/parabola/problem_6041.png b/results/train/parabola/problem_6041.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbeefde48856ffe51b49b21bd60c2e8e668d6ea2
--- /dev/null
+++ b/results/train/parabola/problem_6041.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7efaf1fd690a5d436eef32a7e1c5504873d1d6fc5aa0868b6c7c253305a12e6b
+size 186693
diff --git a/results/train/parabola/problem_6048.png b/results/train/parabola/problem_6048.png
new file mode 100644
index 0000000000000000000000000000000000000000..f02a74808a970d8e0952952b4963bfeea32755ce
--- /dev/null
+++ b/results/train/parabola/problem_6048.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74065c6fd3c6d238c8f81c5c4a4e81e0abd423a183f23c987fc912c1dae69310
+size 198156
diff --git a/results/train/parabola/problem_6058.png b/results/train/parabola/problem_6058.png
new file mode 100644
index 0000000000000000000000000000000000000000..628a6118731656550bd6d04e57c9710e67edea78
--- /dev/null
+++ b/results/train/parabola/problem_6058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d864cbdb2999de616fc9320489fca05565025a53917a503e04fb60c304887886
+size 191492
diff --git a/results/train/parabola/problem_6059.png b/results/train/parabola/problem_6059.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e2dae05154d59db2f558a057aead6c461eb18f7
--- /dev/null
+++ b/results/train/parabola/problem_6059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3292a9d6bda681ece8657bddc3682bd0c54e7b798d6081e0b69d26b169a45b5
+size 189321
diff --git a/results/train/parabola/problem_6062.png b/results/train/parabola/problem_6062.png
new file mode 100644
index 0000000000000000000000000000000000000000..78acf5c3d6255c2befcad4f6fc901cf2f4d90db4
--- /dev/null
+++ b/results/train/parabola/problem_6062.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e182ac9c66c787603a58b10bfcfea6526d7ce7f6bd36c1012646f59c7f0de30
+size 190671
diff --git a/results/train/parabola/problem_6065.png b/results/train/parabola/problem_6065.png
new file mode 100644
index 0000000000000000000000000000000000000000..8725c5803bb8448b81cef371d424dc9ff03fb339
--- /dev/null
+++ b/results/train/parabola/problem_6065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:264f83f897d8a7f62f84ab10fab1bbf19fcac66328de1f39ac823e1ab0f7f05f
+size 188220
diff --git a/results/train/parabola/problem_6067.png b/results/train/parabola/problem_6067.png
new file mode 100644
index 0000000000000000000000000000000000000000..61c35693e9df8d791d6bb590c421f217748986b9
--- /dev/null
+++ b/results/train/parabola/problem_6067.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:549c1deda553c2b7c56958c0fbaa4cf35b7e779ec4a1ff8eaa196ee56f4d6926
+size 194859
diff --git a/results/train/parabola/problem_6069.png b/results/train/parabola/problem_6069.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c1898e234df5af3794c04e1a3658134a7db876d
--- /dev/null
+++ b/results/train/parabola/problem_6069.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46f11f9debd25e2292012e87d65ff1b948d42f546d6a6089550a6f01ef676bba
+size 210143
diff --git a/results/train/parabola/problem_6070.png b/results/train/parabola/problem_6070.png
new file mode 100644
index 0000000000000000000000000000000000000000..0cf4b4d91c8e9e599e34fe17a165b4b9b01a6873
--- /dev/null
+++ b/results/train/parabola/problem_6070.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6073f0c24281b773b22dff236065349b646998a83f1b6828e14d0caf7f251686
+size 176794
diff --git a/results/train/parabola/problem_6093.png b/results/train/parabola/problem_6093.png
new file mode 100644
index 0000000000000000000000000000000000000000..41c6ebf73db170096943a95d0456a58b5d320744
--- /dev/null
+++ b/results/train/parabola/problem_6093.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:caa60ba93593d09ed13fa706266d34fea25769b45f9d84262f7640321b75b93d
+size 191519
diff --git a/results/train/parabola/problem_6100.png b/results/train/parabola/problem_6100.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca0d055144b717c7e538a8d7a9b3018b8e7f7c70
--- /dev/null
+++ b/results/train/parabola/problem_6100.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:705cad84d54fe02081f4dd208a6230986a3340af9c78f5e340e3318383c015e5
+size 192649
diff --git a/results/train/parabola/problem_6101.png b/results/train/parabola/problem_6101.png
new file mode 100644
index 0000000000000000000000000000000000000000..c51e7f3da31b689ef5db9a70caf1d131b0d46681
--- /dev/null
+++ b/results/train/parabola/problem_6101.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2f0f481e674f9302ee57a3e01e955cea509862f4f9b591133d57c8c4c06660b3
+size 202572
diff --git a/results/train/parabola/problem_6107.png b/results/train/parabola/problem_6107.png
new file mode 100644
index 0000000000000000000000000000000000000000..beb1f6b9b29c2329482f48be9792ea6906c62518
--- /dev/null
+++ b/results/train/parabola/problem_6107.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a6837ad9fb537712a0b90a4f8dba3df6925898e30b3a9f6675424c56cb43ae2
+size 186217
diff --git a/results/train/parabola/problem_6110.png b/results/train/parabola/problem_6110.png
new file mode 100644
index 0000000000000000000000000000000000000000..d62a9538eb0fc7fb998f80cd370c7c58cfd5135e
--- /dev/null
+++ b/results/train/parabola/problem_6110.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2dbbf6aad824a1d2654f09880704623eaa1b132dd1b4ad237851c45f8ba1e0c0
+size 203902
diff --git a/results/train/parabola/problem_6115.png b/results/train/parabola/problem_6115.png
new file mode 100644
index 0000000000000000000000000000000000000000..d4e297f42c7c9040bc28633bf0d2a410fef224be
--- /dev/null
+++ b/results/train/parabola/problem_6115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4339e0f67a49b615bffdc2f4a08e2514d0fbe2bfc6731b2649fb6a58e446729e
+size 155637
diff --git a/results/train/parabola/problem_6119.png b/results/train/parabola/problem_6119.png
new file mode 100644
index 0000000000000000000000000000000000000000..41b4926ffdd924713552b58b6ed5dde9a7434d6f
--- /dev/null
+++ b/results/train/parabola/problem_6119.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6b39205905c12c21bb3478f6bf1120f0c31cdb7b759352729dc46187e8ca6b4a
+size 184321
diff --git a/results/train/parabola/problem_6128.png b/results/train/parabola/problem_6128.png
new file mode 100644
index 0000000000000000000000000000000000000000..01a720f8f946bb659cc49bc4d7e26809a40d9364
--- /dev/null
+++ b/results/train/parabola/problem_6128.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bcef2ba2724fa1e270a0a329a15e6fb6b5e2dae85d7ea88ca234de6fdeff2196
+size 187662
diff --git a/results/train/parabola/problem_6132.png b/results/train/parabola/problem_6132.png
new file mode 100644
index 0000000000000000000000000000000000000000..43d82b44b1a636a72cfedc27c448755c697b6df1
--- /dev/null
+++ b/results/train/parabola/problem_6132.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d75bbe1f5a3ae9a91b165d34c28ecc14f50d8f9a27bd2cabf51c1cd187587f6
+size 194347
diff --git a/results/train/parabola/problem_6136.png b/results/train/parabola/problem_6136.png
new file mode 100644
index 0000000000000000000000000000000000000000..30dec0741a9171f052dd2068bc68de66a44dcec1
--- /dev/null
+++ b/results/train/parabola/problem_6136.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:383e3afdfcff7fd2afeeb97f5e804eba1032263fb1d867d00c258372074c003a
+size 189342
diff --git a/results/train/parabola/problem_6140.png b/results/train/parabola/problem_6140.png
new file mode 100644
index 0000000000000000000000000000000000000000..7601263015325267a05d437eeaa259a4a9ad33c7
--- /dev/null
+++ b/results/train/parabola/problem_6140.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9ce4aed91fb494de3f93f790a4499219208193a4ec51d37ae681c9c150a8591
+size 183818
diff --git a/results/train/parabola/problem_6144.png b/results/train/parabola/problem_6144.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ee3bf60e05595289fd3f113e1c4b0353b2f3f8c
--- /dev/null
+++ b/results/train/parabola/problem_6144.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bba4220c3cf0eed44f3e1aa78acbcef12f1ed1bb162a94e14b825b70af655f8b
+size 180635
diff --git a/results/train/parabola/problem_6147.png b/results/train/parabola/problem_6147.png
new file mode 100644
index 0000000000000000000000000000000000000000..4657659c80e9a6172f234696bdd143bf2eea1481
--- /dev/null
+++ b/results/train/parabola/problem_6147.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8019bf9ba4315c9673c37b85b12cb589a8a278533a87c74eaf00926dbbd4e6d9
+size 192543
diff --git a/results/train/parabola/problem_6149.png b/results/train/parabola/problem_6149.png
new file mode 100644
index 0000000000000000000000000000000000000000..5ad87a59a1ddef95f142b94e7a4e91ea80e5c968
--- /dev/null
+++ b/results/train/parabola/problem_6149.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4918ea67f0760fd05c43bb9d23ab7ba3fd4660e0935e6b3f3cab7e83ff834fed
+size 193302
diff --git a/results/train/parabola/problem_6151.png b/results/train/parabola/problem_6151.png
new file mode 100644
index 0000000000000000000000000000000000000000..159279c0062b48ff2cce03f4a9b5547e72d3ad23
--- /dev/null
+++ b/results/train/parabola/problem_6151.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d16679e1d8ee6493ea67d892daff8a217d4333174a06b5a1c699b8eb7f594b7
+size 191496
diff --git a/results/train/parabola/problem_6157.png b/results/train/parabola/problem_6157.png
new file mode 100644
index 0000000000000000000000000000000000000000..055330073a0b22963f022287ac829d019186f606
--- /dev/null
+++ b/results/train/parabola/problem_6157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:490625212b38d67c81de050e0ce51780911246333633a198d24ee670f2c844c0
+size 191712
diff --git a/results/train/parabola/problem_6160.png b/results/train/parabola/problem_6160.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ceed248b0141377121b9da9cb21a9845513aea7
--- /dev/null
+++ b/results/train/parabola/problem_6160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c58449ef8583e2b0299abbe82f08db32aa3a3e5b6bc423c1b5b02064d5201c23
+size 186164
diff --git a/results/train/parabola/problem_6171.png b/results/train/parabola/problem_6171.png
new file mode 100644
index 0000000000000000000000000000000000000000..68977fc5da5bb807f66c319bbf7654ec026fd11f
--- /dev/null
+++ b/results/train/parabola/problem_6171.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5e295842a48544ad224ffcdebbd4c1c247849c8e4aee04c84616431b3e89ba6b
+size 206678
diff --git a/results/train/parabola/problem_6176.png b/results/train/parabola/problem_6176.png
new file mode 100644
index 0000000000000000000000000000000000000000..a432e385be9ec33f5fb35518aa75326f619119d2
--- /dev/null
+++ b/results/train/parabola/problem_6176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0153377e6679adcee3e27160bf56f937c264e345d7a799d60a8fc2e4c6e3dc29
+size 198332
diff --git a/results/train/parabola/problem_6178.png b/results/train/parabola/problem_6178.png
new file mode 100644
index 0000000000000000000000000000000000000000..26906d2d15b6e87c70e38b3c6505d4359008b22f
--- /dev/null
+++ b/results/train/parabola/problem_6178.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:afcd038c21a12f55ebf30ec99cd7ce0a3b62150ecf1ed290021464fc77004650
+size 188544
diff --git a/results/train/parabola/problem_6180.png b/results/train/parabola/problem_6180.png
new file mode 100644
index 0000000000000000000000000000000000000000..d44150e0fe58ed0849da0a9021259cd110a4197a
--- /dev/null
+++ b/results/train/parabola/problem_6180.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:92386cd0d80b2d23b75b9f46f08d63130a79da84b673b2fef290fa97882f923e
+size 185698
diff --git a/results/train/parabola/problem_6183.png b/results/train/parabola/problem_6183.png
new file mode 100644
index 0000000000000000000000000000000000000000..ce021f0e66cb5597934036c701ed43ee15eb8cdd
--- /dev/null
+++ b/results/train/parabola/problem_6183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7239193cdbc8892158a676113212434e9e24c452c7736302c3c86e36d7eef239
+size 173000
diff --git a/results/train/parabola/problem_6185.png b/results/train/parabola/problem_6185.png
new file mode 100644
index 0000000000000000000000000000000000000000..59eb25123ba4bb1c58c91f15ec58bfaae88d552b
--- /dev/null
+++ b/results/train/parabola/problem_6185.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d6a2af999d00a58eae4ae2ba17cb2b4d8187f64bd95ff121d76a0096dc7172c
+size 202307
diff --git a/results/train/parabola/problem_6186.png b/results/train/parabola/problem_6186.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0ae1815f2c58f3fe95b99aec133009a5f430b7d
--- /dev/null
+++ b/results/train/parabola/problem_6186.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56a7bb5c296e7b343b26632d447a58800f741d036a9cb5b3aa20aedde79b560a
+size 200971
diff --git a/results/train/parabola/problem_6188.png b/results/train/parabola/problem_6188.png
new file mode 100644
index 0000000000000000000000000000000000000000..7c1317c2258dc1038928490161fd05fa4d4bb211
--- /dev/null
+++ b/results/train/parabola/problem_6188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b33ebf1881bbd69e653303ffb4533e6519bf464abf5534f922f9aec93b75f209
+size 187559
diff --git a/results/train/parabola/problem_6190.png b/results/train/parabola/problem_6190.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a5193dbb6f480975e96cfda676dce5d98ca0ca1
--- /dev/null
+++ b/results/train/parabola/problem_6190.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:472c53bb91643137db21c26b94388ca184dcd2cfb6db92fc4932cd55f4da2a60
+size 198951
diff --git a/results/train/parabola/problem_6192.png b/results/train/parabola/problem_6192.png
new file mode 100644
index 0000000000000000000000000000000000000000..e5ec116a4d8a67c4eb3f31f72430a3aee270fdf9
--- /dev/null
+++ b/results/train/parabola/problem_6192.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:817e464e49eb3c142400f05613c92b5226487c6c185414f70e0a474ecf93c5b2
+size 204311
diff --git a/results/train/parabola/problem_6193.png b/results/train/parabola/problem_6193.png
new file mode 100644
index 0000000000000000000000000000000000000000..61209eab345541c4aa18d8a302ff183b5fb4ae04
--- /dev/null
+++ b/results/train/parabola/problem_6193.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:476bc41cb0773425fa090b8d82b9c6a18b8b5159f449c79b367c08163e787e4a
+size 185073
diff --git a/results/train/parabola/problem_6210.png b/results/train/parabola/problem_6210.png
new file mode 100644
index 0000000000000000000000000000000000000000..19fb54ee1c97aef332efc791e363ebca92b1683d
--- /dev/null
+++ b/results/train/parabola/problem_6210.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9cc7a4bc07131adf50e42f0604ad6dff2ddf63944de8abf52cc093903dabe39
+size 176564
diff --git a/results/train/parabola/problem_6211.png b/results/train/parabola/problem_6211.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9e441eb227374d3770d44c3e07a0d6ae5f99490
--- /dev/null
+++ b/results/train/parabola/problem_6211.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:516d21f8538bb65f7131326ce113035b34f85ea23541d909fdf096da05464048
+size 185188
diff --git a/results/train/parabola/problem_6212.png b/results/train/parabola/problem_6212.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea3f130e9b80cb091cc8f90775f4012b2f83e3e6
--- /dev/null
+++ b/results/train/parabola/problem_6212.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:664dddc0389690722915de67860dd5d4e582408180f1905c07310b5e71424649
+size 189369
diff --git a/results/train/parabola/problem_6221.png b/results/train/parabola/problem_6221.png
new file mode 100644
index 0000000000000000000000000000000000000000..ef48693858810a1fe3c4cd096c3c9f4f6bf4ef57
--- /dev/null
+++ b/results/train/parabola/problem_6221.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61339baf176f644f9dc13e7bae4c6e708d7db4716dd738cd33d71db60196cebc
+size 173347
diff --git a/results/train/parabola/problem_6229.png b/results/train/parabola/problem_6229.png
new file mode 100644
index 0000000000000000000000000000000000000000..243508d5926d5a50520f6a2834e9b348cd9f20e6
--- /dev/null
+++ b/results/train/parabola/problem_6229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efffb2225945963ff47fec10120b04c413e629da3171d767404876ccc3a296a1
+size 188891
diff --git a/results/train/parabola/problem_6230.png b/results/train/parabola/problem_6230.png
new file mode 100644
index 0000000000000000000000000000000000000000..da4d919ac809468d22fee12688796fc642f91c6d
--- /dev/null
+++ b/results/train/parabola/problem_6230.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea9eaebb2b1a0649d23ccd4f96495a56355a51d5c81da1ae49dd219bd6d44c40
+size 188182
diff --git a/results/train/parabola/problem_6238.png b/results/train/parabola/problem_6238.png
new file mode 100644
index 0000000000000000000000000000000000000000..18f5b03368eac142d55cfdbcf1918d9ba10f7d85
--- /dev/null
+++ b/results/train/parabola/problem_6238.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bde326fa56d30073d6f4bfb3e750b589b45d1b3afcfd120720c1500a16e08e6
+size 177087
diff --git a/results/train/parabola/problem_6240.png b/results/train/parabola/problem_6240.png
new file mode 100644
index 0000000000000000000000000000000000000000..75bd0cbbdda11b9bf268cb06955e0486f00896b2
--- /dev/null
+++ b/results/train/parabola/problem_6240.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:52b3e888044f8ad9208671c7ca8dee39a5e7e35e08fc2fb63cf1603d2154edff
+size 184778
diff --git a/results/train/parabola/problem_6241.png b/results/train/parabola/problem_6241.png
new file mode 100644
index 0000000000000000000000000000000000000000..2e1c1d293a707bd7f971a0178d15c4dee9f4b4e4
--- /dev/null
+++ b/results/train/parabola/problem_6241.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b1bce1d7bf0788be61080ae306fa24bba1458d5e945531333f63c325d2f88df
+size 201190
diff --git a/results/train/parabola/problem_6244.png b/results/train/parabola/problem_6244.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d2a9e87bee011080ed82d7806ee10655d6e2cf2
--- /dev/null
+++ b/results/train/parabola/problem_6244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdf8b8ad2f4f525692efd8e3af8a7a16cd90c6306db7c7381dc40dc7ac814adf
+size 180659
diff --git a/results/train/parabola/problem_6248.png b/results/train/parabola/problem_6248.png
new file mode 100644
index 0000000000000000000000000000000000000000..5dcf083bb4046163ac47839f499488aff1b71e10
--- /dev/null
+++ b/results/train/parabola/problem_6248.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24090ef356f5182464a49e970ba5683b608fc562bbf4ffdbcaba2ca01bb394bd
+size 197442
diff --git a/results/train/parabola/problem_6250.png b/results/train/parabola/problem_6250.png
new file mode 100644
index 0000000000000000000000000000000000000000..1803bdc7672ec60f60c7e0b4ce86505f0d226164
--- /dev/null
+++ b/results/train/parabola/problem_6250.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54e37ff31965e7f01d9ff248c7ef698098ac069553c3f241e39ed2a0dd827205
+size 181415
diff --git a/results/train/parabola/problem_6256.png b/results/train/parabola/problem_6256.png
new file mode 100644
index 0000000000000000000000000000000000000000..6d92d3ea2816a439f674cbb1f767b74c2ce6ad54
--- /dev/null
+++ b/results/train/parabola/problem_6256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:39112a8f3ccb76c8cadadd42054655dfa3713f443d0397852130d694ee4e3128
+size 190969
diff --git a/results/train/parabola/problem_6259.png b/results/train/parabola/problem_6259.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f404dd46164463bd27e7c33e18a1ff42ee8eb97
--- /dev/null
+++ b/results/train/parabola/problem_6259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d0fe7af5ad40e8a5a5faa2027e0d61aec20d5b171f0ac6bd1be3afe33134c22
+size 179553
diff --git a/results/train/parabola/problem_6262.png b/results/train/parabola/problem_6262.png
new file mode 100644
index 0000000000000000000000000000000000000000..fadd42819431884af65830c6129fc5d468a721ab
--- /dev/null
+++ b/results/train/parabola/problem_6262.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ec977d9d5f10ebf31371f02736614d069d920b97a54bf182714731d0e836456f
+size 207609
diff --git a/results/train/parabola/problem_6264.png b/results/train/parabola/problem_6264.png
new file mode 100644
index 0000000000000000000000000000000000000000..92cc3f408fd46b84626d80e7ac268615a5bedb3d
--- /dev/null
+++ b/results/train/parabola/problem_6264.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74efc4124af4de7e278a80de3e9805ffe354814bbdac8b248ff8919f1cc5d4ac
+size 169172
diff --git a/results/train/parabola/problem_6267.png b/results/train/parabola/problem_6267.png
new file mode 100644
index 0000000000000000000000000000000000000000..5618557439e4f1e4980b7c35fa0fe18d989598d9
--- /dev/null
+++ b/results/train/parabola/problem_6267.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0fc217ab483694319305422fa360236387b3787b367b06c91ab261b2f36fb41d
+size 199586
diff --git a/results/train/parabola/problem_6269.png b/results/train/parabola/problem_6269.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d5dc23d0894bc2ebc3e03495904b51322f36450
--- /dev/null
+++ b/results/train/parabola/problem_6269.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c983651415c23596336c3ef1db29d2a14a24e1fa92f5d2dd7e733c7625c67340
+size 191855
diff --git a/results/train/parabola/problem_6278.png b/results/train/parabola/problem_6278.png
new file mode 100644
index 0000000000000000000000000000000000000000..753eb73d84042ea9808a227d5a565b2fe7f10709
--- /dev/null
+++ b/results/train/parabola/problem_6278.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5be0cb008cebcf879d026f60ae748eeceef3c3807be24391d8824ce5857c8c45
+size 193575
diff --git a/results/train/parabola/problem_6284.png b/results/train/parabola/problem_6284.png
new file mode 100644
index 0000000000000000000000000000000000000000..996e8870a1c58003034e76e5f700d432f82c0278
--- /dev/null
+++ b/results/train/parabola/problem_6284.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:125ed549c9790f84ce7b5a0f6b761ea9e21b63cba518dfd046bd2e2720acb17a
+size 191555
diff --git a/results/train/parabola/problem_6287.png b/results/train/parabola/problem_6287.png
new file mode 100644
index 0000000000000000000000000000000000000000..3e8665b6727439e84bc1b9d61e7ba1276edfc531
--- /dev/null
+++ b/results/train/parabola/problem_6287.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0b5b797438174fe3efdd9156a06cecc06ec72a50204c3d5a7232e2851acde952
+size 186347
diff --git a/results/train/parabola/problem_6291.png b/results/train/parabola/problem_6291.png
new file mode 100644
index 0000000000000000000000000000000000000000..bae52bd5cab6e5832fcd926802abe5226b233e33
--- /dev/null
+++ b/results/train/parabola/problem_6291.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:227df4e68c30933d085e1010ca11124224ddb29387cea2f0f507e44d6ea769d0
+size 192809
diff --git a/results/train/parabola/problem_6294.png b/results/train/parabola/problem_6294.png
new file mode 100644
index 0000000000000000000000000000000000000000..95d972a6f64fc1f2d04659509f89f2ab10f559f6
--- /dev/null
+++ b/results/train/parabola/problem_6294.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:426b4efba789627dda72204e84ad2cb41139035f78c6118ec76e065e45bf9856
+size 200721
diff --git a/results/train/parabola/problem_6295.png b/results/train/parabola/problem_6295.png
new file mode 100644
index 0000000000000000000000000000000000000000..e221c4fec1da9b1eb9323d2e741e001928b15d2f
--- /dev/null
+++ b/results/train/parabola/problem_6295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8888c7dba9cfd7fe821606573e217bffe875a688ebb1b0a562486eda3d65c01a
+size 192801
diff --git a/results/train/parabola/problem_6296.png b/results/train/parabola/problem_6296.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b68e02bc84d0b85f5851d6049d4826deb450886
--- /dev/null
+++ b/results/train/parabola/problem_6296.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f6592394304208a63a84932fa7c2709aa66c1db8c00e15a511247da377c0faf6
+size 186365
diff --git a/results/train/parabola/problem_6298.png b/results/train/parabola/problem_6298.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb380e10955182bdfb7c99220b4bb6d5f60c4ba9
--- /dev/null
+++ b/results/train/parabola/problem_6298.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f83d6f4deff507ca8b2cdaa88fcf310e0c18da5452e446875158f9ad3e41be0
+size 186399
diff --git a/results/train/parabola/problem_6300.png b/results/train/parabola/problem_6300.png
new file mode 100644
index 0000000000000000000000000000000000000000..e747fad8bfc9939bc455cafd6d1964f0e0207153
--- /dev/null
+++ b/results/train/parabola/problem_6300.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:646f379c7413d45b386d415e1e65cf77181fe8be90aa071cfb4f1b2c5f238e8d
+size 165190
diff --git a/results/train/parabola/problem_6303.png b/results/train/parabola/problem_6303.png
new file mode 100644
index 0000000000000000000000000000000000000000..d294087d29e9d228b43052d35c6a9cb4d69984ee
--- /dev/null
+++ b/results/train/parabola/problem_6303.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb88a028a277fad833207d41e129679d82ebe6740a8b488fa2fd75232923ca23
+size 186637
diff --git a/results/train/parabola/problem_6308.png b/results/train/parabola/problem_6308.png
new file mode 100644
index 0000000000000000000000000000000000000000..d97752e0a0f629758e031abd9ce6c0e4c6604a92
--- /dev/null
+++ b/results/train/parabola/problem_6308.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:415a31131e947cd0b3661c339062d9c536a2c181b4974c191926e03e321d09e5
+size 190970
diff --git a/results/train/parabola/problem_6311.png b/results/train/parabola/problem_6311.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2213ff80beeca64d1b01b1928564c978a52168e
--- /dev/null
+++ b/results/train/parabola/problem_6311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfc173140b896ddb24e12aa9ee0ff40a0a1000ecc93652454a07923c3cf02b97
+size 191934
diff --git a/results/train/parabola/problem_6312.png b/results/train/parabola/problem_6312.png
new file mode 100644
index 0000000000000000000000000000000000000000..b39b8344a554086e9b6581a15687fd6edbd9e20b
--- /dev/null
+++ b/results/train/parabola/problem_6312.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b50bfb63e5a566ac9e13eaf404b25bc9ff53d8b8bdf053aecedbac4b097cf049
+size 187202
diff --git a/results/train/parabola/problem_6315.png b/results/train/parabola/problem_6315.png
new file mode 100644
index 0000000000000000000000000000000000000000..33a975e0f42541f801c0ff23be4251207a2d5dc9
--- /dev/null
+++ b/results/train/parabola/problem_6315.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:91abb2d9cee5b4914fb530b58d0fe4d9c0ccbbc1cef4caefc8192e31c8e031a6
+size 179371
diff --git a/results/train/parabola/problem_6324.png b/results/train/parabola/problem_6324.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0e7438f35a9cce2b61381908af81fe66d4ee356
--- /dev/null
+++ b/results/train/parabola/problem_6324.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c1fa7b65fee33a89208175627c1e7f5ffb28c51df7c1bd6adb1b2c0c34d50c26
+size 189711
diff --git a/results/train/parabola/problem_6325.png b/results/train/parabola/problem_6325.png
new file mode 100644
index 0000000000000000000000000000000000000000..bbd9de65b9ca6b38959f16c4adb5aebdbf30cd4f
--- /dev/null
+++ b/results/train/parabola/problem_6325.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a5b668760a8661f6dc671f49b6d9c8670702dd5ccfa3b856b0510a9fd413219a
+size 195478
diff --git a/results/train/parabola/problem_6330.png b/results/train/parabola/problem_6330.png
new file mode 100644
index 0000000000000000000000000000000000000000..fdec074554c721ec4d48001a1acf8cf2638ca949
--- /dev/null
+++ b/results/train/parabola/problem_6330.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7d4c5a8d45731c95b445bff91a3908ebfd1f3da03fe882a71009b6a63da84e79
+size 165623
diff --git a/results/train/parabola/problem_6335.png b/results/train/parabola/problem_6335.png
new file mode 100644
index 0000000000000000000000000000000000000000..b9d565e51cc2bbbb7bf3fdcbeeff22760380c193
--- /dev/null
+++ b/results/train/parabola/problem_6335.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:080fa2ae5b4e7004726c141293bbc438acae2cef3f6053124661aed011006630
+size 192385
diff --git a/results/train/parabola/problem_6336.png b/results/train/parabola/problem_6336.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f754a567e46d28a233e1cf0da42292a13001653
--- /dev/null
+++ b/results/train/parabola/problem_6336.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1a8096aba9d4d58a58650f1a4703b36600783a5891d6ef3395521a7f128af715
+size 163343
diff --git a/results/train/parabola/problem_6346.png b/results/train/parabola/problem_6346.png
new file mode 100644
index 0000000000000000000000000000000000000000..37fff1e453dc42dde7f13f2f3629c1c229a5ed35
--- /dev/null
+++ b/results/train/parabola/problem_6346.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4eb5216e7c7fcedc0da6cf4e01f76d5485c324c2423e17a30e54cda7abe9128f
+size 181272
diff --git a/results/train/parabola/problem_6350.png b/results/train/parabola/problem_6350.png
new file mode 100644
index 0000000000000000000000000000000000000000..150ddfd8e8fcbfa780755d577faa0d701fcf17ea
--- /dev/null
+++ b/results/train/parabola/problem_6350.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d59382909d237d9746d959341914c6680dba4fef57898a4aa81bd9f71423996
+size 180300
diff --git a/results/train/parabola/problem_6351.png b/results/train/parabola/problem_6351.png
new file mode 100644
index 0000000000000000000000000000000000000000..5be0b2e5b46de23d673489f3e021ccfc787ded67
--- /dev/null
+++ b/results/train/parabola/problem_6351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0763a4173609d65a58bb5be097e558097c3f370828cd93f66ec19d4a7b5df5eb
+size 184850
diff --git a/results/train/parabola/problem_6357.png b/results/train/parabola/problem_6357.png
new file mode 100644
index 0000000000000000000000000000000000000000..1284fdb1c6ae9fa0d92776204ef3b16a45293370
--- /dev/null
+++ b/results/train/parabola/problem_6357.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d896984bab6b70b8dffc7ee4222452a3288f8047d07f5cf0ba340ee3fce0f70e
+size 189195
diff --git a/results/train/parabola/problem_6360.png b/results/train/parabola/problem_6360.png
new file mode 100644
index 0000000000000000000000000000000000000000..cdf817896ef683a6e1227e798e9eb7292816adb5
--- /dev/null
+++ b/results/train/parabola/problem_6360.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63b2bb64f86beed1e69ed391e29f332a88916920f4db2cd40847670609581916
+size 194562
diff --git a/results/train/parabola/problem_6366.png b/results/train/parabola/problem_6366.png
new file mode 100644
index 0000000000000000000000000000000000000000..150c8339faeed23cc9e46d1c6fd619e0bc62fe55
--- /dev/null
+++ b/results/train/parabola/problem_6366.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56f773ed75b4069658d4a19424fd0e70c9e84585869a34b27e3a9c93fba543c1
+size 189132
diff --git a/results/train/parabola/problem_6373.png b/results/train/parabola/problem_6373.png
new file mode 100644
index 0000000000000000000000000000000000000000..7559059d2a757eb88895ff5380c0e9d0030c50e8
--- /dev/null
+++ b/results/train/parabola/problem_6373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a180ff4ea90c19fde1c2e25845ba2b93990aeb8069521a5086359f899ad2e60d
+size 203927
diff --git a/results/train/parabola/problem_6374.png b/results/train/parabola/problem_6374.png
new file mode 100644
index 0000000000000000000000000000000000000000..120e436b167dfb02fead986003cf854dda0c1f91
--- /dev/null
+++ b/results/train/parabola/problem_6374.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b26154096d774104bd2421cd5fd304444d216aaba4b46c7a50afd6513cafc22
+size 193822
diff --git a/results/train/parabola/problem_6382.png b/results/train/parabola/problem_6382.png
new file mode 100644
index 0000000000000000000000000000000000000000..4cbfc36b116a5dd936b6c369701b6cf1ad498d3c
--- /dev/null
+++ b/results/train/parabola/problem_6382.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db5898b8f920d5957bfbeaf0577c2604020d2d3565eaec5b45d1aeff14ead34c
+size 187919
diff --git a/results/train/parabola/problem_6384.png b/results/train/parabola/problem_6384.png
new file mode 100644
index 0000000000000000000000000000000000000000..3fcd7c47721b518b4f95b112cea67311bfbb62be
--- /dev/null
+++ b/results/train/parabola/problem_6384.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:56dc00a304173c13c973593cceb3bdaf4e955df94c9eff06728100403a065fd7
+size 179138
diff --git a/results/train/parabola/problem_6385.png b/results/train/parabola/problem_6385.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd1b0b6d5f835445e0137519c6fd5ba01ede6508
--- /dev/null
+++ b/results/train/parabola/problem_6385.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2ba027d20cf8e7180accb8ea371e7200126ea8b3f05644eae1fbaaccbfc43240
+size 198299
diff --git a/results/train/parabola/problem_6391.png b/results/train/parabola/problem_6391.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbe31fba07b2bfc573ffacf5a66c5e95dadaa1a4
--- /dev/null
+++ b/results/train/parabola/problem_6391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8fe2f9e6a9648c83acdc0561c3816fb55a2a65e42d26f774c9a58c3d08ecbb27
+size 189050
diff --git a/results/train/parabola/problem_6392.png b/results/train/parabola/problem_6392.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eb0d52f7c3aa87c0691c4afe5252f35ff661b0d
--- /dev/null
+++ b/results/train/parabola/problem_6392.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:33595b076d91b7fbd68f000669e0cd5c60acb4c7eb15fa590bf7d2e2183adc9c
+size 178425
diff --git a/results/train/parabola/problem_6395.png b/results/train/parabola/problem_6395.png
new file mode 100644
index 0000000000000000000000000000000000000000..df1c9c47bd4e82ee5157bd78e09250da7bf6cc73
--- /dev/null
+++ b/results/train/parabola/problem_6395.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d629b779c407d24ed59ac372a2e8fff05c11806ce479611b9d85f50a1670495
+size 190959
diff --git a/results/train/parabola/problem_6396.png b/results/train/parabola/problem_6396.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2a01ce139b9ed4cf318b262cdc2f6762c580266
--- /dev/null
+++ b/results/train/parabola/problem_6396.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ca223d6d66bf19742b18c80f9988c5b6f78d45f695e6e1f11dd26e5a4a541a6b
+size 204292
diff --git a/results/train/parabola/problem_6397.png b/results/train/parabola/problem_6397.png
new file mode 100644
index 0000000000000000000000000000000000000000..679d443ff698a0f17459f9eed4b833d0910aa0e0
--- /dev/null
+++ b/results/train/parabola/problem_6397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:800c947ae4996aede7cb4ff7f85943d9cc9b442215dfb5e45c204ea6a42879d8
+size 158272
diff --git a/results/train/parabola/problem_6405.png b/results/train/parabola/problem_6405.png
new file mode 100644
index 0000000000000000000000000000000000000000..0f5c3872c0da89545e89838fa99533e1a784be27
--- /dev/null
+++ b/results/train/parabola/problem_6405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6309b12d9a8123accedfc21514377b4eef8e80dab66d2c522976db6ff2b8e83d
+size 200137
diff --git a/results/train/parabola/problem_6406.png b/results/train/parabola/problem_6406.png
new file mode 100644
index 0000000000000000000000000000000000000000..04699d9e9c29bdb69e9eb606fa6f9c92dbd46743
--- /dev/null
+++ b/results/train/parabola/problem_6406.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fce930c2877a4edd62eadbcf4852a686aa51a9d90f4b06fb86df506b2dc73cf8
+size 185214
diff --git a/results/train/parabola/problem_6407.png b/results/train/parabola/problem_6407.png
new file mode 100644
index 0000000000000000000000000000000000000000..16f15bf662a3064d6aed016fa9d98486a3b22107
--- /dev/null
+++ b/results/train/parabola/problem_6407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:962ad56a763714bda4f7ffe2949ac7364546a3fb5a2a076693abfbbd9046dbac
+size 203504
diff --git a/results/train/parabola/problem_6410.png b/results/train/parabola/problem_6410.png
new file mode 100644
index 0000000000000000000000000000000000000000..49699e587b2c30d6e8f92df541c2fac8e5de23c4
--- /dev/null
+++ b/results/train/parabola/problem_6410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6f5de3c1a21b16fc34a0ec2de2bffe72f94912da2af872b6216f13af697277d
+size 194972
diff --git a/results/train/parabola/problem_6417.png b/results/train/parabola/problem_6417.png
new file mode 100644
index 0000000000000000000000000000000000000000..4029cb32b168e5c99cf7c3b0f7738ffd7ee49434
--- /dev/null
+++ b/results/train/parabola/problem_6417.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:347d59369b105a124930d21823032be1d16d41075997ec9009ea8f4e9b756d90
+size 179617
diff --git a/results/train/parabola/problem_6418.png b/results/train/parabola/problem_6418.png
new file mode 100644
index 0000000000000000000000000000000000000000..7d6edc96d3d10197bb9e12860f59b4f5f4a6c556
--- /dev/null
+++ b/results/train/parabola/problem_6418.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f41353f84127bf8d2eb4321766e2863f973cd14d9647b9986cb7a1fc70339a1
+size 195583
diff --git a/results/train/parabola/problem_6424.png b/results/train/parabola/problem_6424.png
new file mode 100644
index 0000000000000000000000000000000000000000..48647a34ba4cf1980f610ae1569e88e1afee99a0
--- /dev/null
+++ b/results/train/parabola/problem_6424.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0e553ae6eae9fdd6a10a24f011046c89e1996cbb99371a7a5a4977dbd99f1ad3
+size 170733
diff --git a/results/train/parabola/problem_6429.png b/results/train/parabola/problem_6429.png
new file mode 100644
index 0000000000000000000000000000000000000000..70c6743020739e66e9ffb6ad22fec0c85b4372a8
--- /dev/null
+++ b/results/train/parabola/problem_6429.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c31097b0c5c10e4a9c82407f6b6dd0c9bfa6e415d1097b7bb94b3d4bab9024b8
+size 195182
diff --git a/results/train/parabola/problem_6430.png b/results/train/parabola/problem_6430.png
new file mode 100644
index 0000000000000000000000000000000000000000..e9d5dcdc81d9587ce782d539adcd6773a8932320
--- /dev/null
+++ b/results/train/parabola/problem_6430.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a719a87a14ddfd4082818f2084f34535b2549d4764a9adc44ec4f0a3177f0dab
+size 191365
diff --git a/results/train/parabola/problem_6436.png b/results/train/parabola/problem_6436.png
new file mode 100644
index 0000000000000000000000000000000000000000..759ac1b9c233e57817c7e1b8b3ef061eab29aa91
--- /dev/null
+++ b/results/train/parabola/problem_6436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:45c568b298b3fcf11689cff9c57bd8fcf64d7e580c60455c6a20cd4560511ef9
+size 193452
diff --git a/results/train/parabola/problem_6437.png b/results/train/parabola/problem_6437.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbd86bdaaba6f41f1826507c5d811cf034bbf8d4
--- /dev/null
+++ b/results/train/parabola/problem_6437.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f7d3c9f1b768d9e5db5783878a415f13645e295e1c1b8a6eb444f1b184727de
+size 188185
diff --git a/results/train/parabola/problem_6440.png b/results/train/parabola/problem_6440.png
new file mode 100644
index 0000000000000000000000000000000000000000..160ca3693bf18d6594ea013877c6d75273e2efb1
--- /dev/null
+++ b/results/train/parabola/problem_6440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3a65c0494f0eccdb5edf75bd75b9ec1f23adc2567ce3c75903d1a56b027172c4
+size 190121
diff --git a/results/train/parabola/problem_6445.png b/results/train/parabola/problem_6445.png
new file mode 100644
index 0000000000000000000000000000000000000000..7fc85f551077241d87dcbc8717dd522847b1b506
--- /dev/null
+++ b/results/train/parabola/problem_6445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:23467612d238feedb4177c32c00035c928d01ae7e0cf0edece0cd357c91ec6e1
+size 192851
diff --git a/results/train/parabola/problem_6450.png b/results/train/parabola/problem_6450.png
new file mode 100644
index 0000000000000000000000000000000000000000..24a29c42d1179844e5473dd55afac2203da68c1f
--- /dev/null
+++ b/results/train/parabola/problem_6450.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6227ac78b2db75b2ea31b7f7477b5d1e52657c5415034ccad0395aec5fbcef1a
+size 194510
diff --git a/results/train/parabola/problem_6451.png b/results/train/parabola/problem_6451.png
new file mode 100644
index 0000000000000000000000000000000000000000..03140dd856daa230741dde78fa8dc30ad8bd14ec
--- /dev/null
+++ b/results/train/parabola/problem_6451.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cfc9eb0efc6f4432ab50357d5ed3d566fcf7436a986349990bb7f42268c9bfc
+size 188317
diff --git a/results/train/parabola/problem_6453.png b/results/train/parabola/problem_6453.png
new file mode 100644
index 0000000000000000000000000000000000000000..bede215751b3eac6bd9c0daa48083b8100713ed5
--- /dev/null
+++ b/results/train/parabola/problem_6453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9534df9c38357c417abb942ce2855ded046ec5be3c199a0a59e497c0759b2a2b
+size 202966
diff --git a/results/train/parabola/problem_6459.png b/results/train/parabola/problem_6459.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3fc08f7d210e973a39198d91d494ce6c18d98b4
--- /dev/null
+++ b/results/train/parabola/problem_6459.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a95db2602a6d1f6366122dff836eb39433a7f67eec3b4f25b0ae073475d6dd20
+size 196124
diff --git a/results/train/parabola/problem_6461.png b/results/train/parabola/problem_6461.png
new file mode 100644
index 0000000000000000000000000000000000000000..90e6b3f0a161604d0fdf8aefc5b46e6d4c19e2e2
--- /dev/null
+++ b/results/train/parabola/problem_6461.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f968d340b8d7d9b2e18df5d2088ed1490c85fe3eb3740dbeb60e29c1d25852f
+size 191153
diff --git a/results/train/parabola/problem_6463.png b/results/train/parabola/problem_6463.png
new file mode 100644
index 0000000000000000000000000000000000000000..58ed266255837e8e4b4a8b57aa60f3b550f11ec6
--- /dev/null
+++ b/results/train/parabola/problem_6463.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:485a44919d1b6fb585f5cd1bc7e778030ee217c3d941374ab8f6d776f9859b01
+size 180583
diff --git a/results/train/parabola/problem_6464.png b/results/train/parabola/problem_6464.png
new file mode 100644
index 0000000000000000000000000000000000000000..9457b7f04b0e222c4e12d6f0e9e005c128faeb97
--- /dev/null
+++ b/results/train/parabola/problem_6464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7dac65cad940fe47dedad7304bed5ed4c9cad4da1213c3cdb7f7e1e25327a274
+size 192113
diff --git a/results/train/parabola/problem_6465.png b/results/train/parabola/problem_6465.png
new file mode 100644
index 0000000000000000000000000000000000000000..4618362cfea8dac9631c18d5e6fa868fe54b6170
--- /dev/null
+++ b/results/train/parabola/problem_6465.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:431807552667c4bfe81d89780deaad484a0f2e7f721648a466e304f2b0e81fdc
+size 186654
diff --git a/results/train/parabola/problem_6479.png b/results/train/parabola/problem_6479.png
new file mode 100644
index 0000000000000000000000000000000000000000..62dcdf60d5aa95b29f249b8ef9774005151be06b
--- /dev/null
+++ b/results/train/parabola/problem_6479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2e6b14712d24359e19fbabeffebf8525d2227600d51cccecfad897cddf250481
+size 188029
diff --git a/results/train/parabola/problem_6492.png b/results/train/parabola/problem_6492.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4f564b5d6fca51b6c1acdcc093e1e5f4fcf6929
--- /dev/null
+++ b/results/train/parabola/problem_6492.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:707868e1f0f0ff6d0ca8cb11f90dcddd28347498ebbb9a42892ab2d5c5f08057
+size 191998
diff --git a/results/train/parabola/problem_6494.png b/results/train/parabola/problem_6494.png
new file mode 100644
index 0000000000000000000000000000000000000000..926e9dd193bd9c817bcd07d189608555edd5acfd
--- /dev/null
+++ b/results/train/parabola/problem_6494.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c11b600e9f87e9e6dc782c9891b9b4dbdc5a5f449e2bf3cd6dae847a7778478e
+size 191394
diff --git a/results/train/parabola/problem_6497.png b/results/train/parabola/problem_6497.png
new file mode 100644
index 0000000000000000000000000000000000000000..35ebe89f028e4d435b2d29ae3a679525ffc2d88e
--- /dev/null
+++ b/results/train/parabola/problem_6497.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2bf0d513a29b1ca3c480a611a15137253f47d5ca50208c82ca447764d768ab90
+size 201228
diff --git a/results/train/parabola/problem_6498.png b/results/train/parabola/problem_6498.png
new file mode 100644
index 0000000000000000000000000000000000000000..a7eb13e24c824405c4ff064fb067e7e8eb9d068b
--- /dev/null
+++ b/results/train/parabola/problem_6498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d9ac519e082059d60b5569c9d0528ad1270485cd1fc28f6b0e4072d25a201c84
+size 189869
diff --git a/results/train/parabola/problem_6500.png b/results/train/parabola/problem_6500.png
new file mode 100644
index 0000000000000000000000000000000000000000..13842e79eedcdb0cc3f8046a0e2bae6a9e329b90
--- /dev/null
+++ b/results/train/parabola/problem_6500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9f9a12dee25fd62089923d714fdca11b29e8cf4a7a0c50a4e83262fd46062e8d
+size 192986
diff --git a/results/train/parabola/problem_6507.png b/results/train/parabola/problem_6507.png
new file mode 100644
index 0000000000000000000000000000000000000000..164450eff2026b6708dce0dd37b888915e7bf40c
--- /dev/null
+++ b/results/train/parabola/problem_6507.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0deca2dcf279f2ebe14b9c3196fe6f113692f60ffd2ae62b6c46dbdc54aaf4e1
+size 188263
diff --git a/results/train/parabola/problem_6520.png b/results/train/parabola/problem_6520.png
new file mode 100644
index 0000000000000000000000000000000000000000..c10c5895dd92adfebe2137be4d9879f235a9c9ce
--- /dev/null
+++ b/results/train/parabola/problem_6520.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aeab1cbf17ccb3c77b00a4319e6352e0f7d024adf666c673f4c83ac7543b11ce
+size 194836
diff --git a/results/train/parabola/problem_6526.png b/results/train/parabola/problem_6526.png
new file mode 100644
index 0000000000000000000000000000000000000000..f446e10b5ec31a9637f47b823eaaf83aad0d434d
--- /dev/null
+++ b/results/train/parabola/problem_6526.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ade085f4cd391e19e0033647baacfaa05183c9a1c5a47b43aef28d94056a164c
+size 200939
diff --git a/results/train/parabola/problem_6531.png b/results/train/parabola/problem_6531.png
new file mode 100644
index 0000000000000000000000000000000000000000..c662f237dd2d752e407765b020e707e0dbe6b236
--- /dev/null
+++ b/results/train/parabola/problem_6531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cadf20e9a19f20de2371f377003c279e54538ec96b7fdc312115ae4b15be7c04
+size 177997
diff --git a/results/train/parabola/problem_6534.png b/results/train/parabola/problem_6534.png
new file mode 100644
index 0000000000000000000000000000000000000000..ed91aa76612e23a61d9b4c96a8ef6bc24e47f3a1
--- /dev/null
+++ b/results/train/parabola/problem_6534.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d1fbab8a2c5076f773c4ea0e90d2a77adc9e1359c087d8ab4416ea3b9fc7ac65
+size 188691
diff --git a/results/train/parabola/problem_6540.png b/results/train/parabola/problem_6540.png
new file mode 100644
index 0000000000000000000000000000000000000000..7b4090b82191368ff4139376be7b8e4b9774d4de
--- /dev/null
+++ b/results/train/parabola/problem_6540.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d273a1d96ff788bb0b2b22bf4f2eecc6cb74255e638d8c0a64daea0a99ddefb1
+size 188376
diff --git a/results/train/parabola/problem_6545.png b/results/train/parabola/problem_6545.png
new file mode 100644
index 0000000000000000000000000000000000000000..7851124e52d9474c3179e852aca48025e4a987bb
--- /dev/null
+++ b/results/train/parabola/problem_6545.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86e8adee248af9824f45d76b5d7af088b4a853732024802adfb33d706f81e080
+size 194328
diff --git a/results/train/parabola/problem_6553.png b/results/train/parabola/problem_6553.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3989ee51dc44cb03798b4cd51746058ba0d149f
--- /dev/null
+++ b/results/train/parabola/problem_6553.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fdbe4cc148cdc8c9af0d33a1de7337e07e463f25d1f25dc6683281e75202707f
+size 186364
diff --git a/results/train/parabola/problem_6558.png b/results/train/parabola/problem_6558.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5b9520d440ee27b605dfecca3d9a51bcc0417ae
--- /dev/null
+++ b/results/train/parabola/problem_6558.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a330eb87dc02d6448d487f9a9d3acf68bbe0120b6861330cd291399701f8efd0
+size 187447
diff --git a/results/train/parabola/problem_6561.png b/results/train/parabola/problem_6561.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f9c32080555bae2932e773746e8f9f3742cbee7
--- /dev/null
+++ b/results/train/parabola/problem_6561.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ef0fe0b0c857c09538b173704a02cd90c7e80ac910f0e1aa37b896ee5fe7b175
+size 195851
diff --git a/results/train/parabola/problem_6576.png b/results/train/parabola/problem_6576.png
new file mode 100644
index 0000000000000000000000000000000000000000..d98f1c40a5a1e6c43c3d42a83158a1314402f8b4
--- /dev/null
+++ b/results/train/parabola/problem_6576.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d728f5124b368b3fa978569bab28f493c4c898819ee31cf17c98ed4ddae029ad
+size 175126
diff --git a/results/train/parabola/problem_6579.png b/results/train/parabola/problem_6579.png
new file mode 100644
index 0000000000000000000000000000000000000000..307e91f95fa36dead3038d46be209e1e6196631f
--- /dev/null
+++ b/results/train/parabola/problem_6579.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:880ae594e509f2d9a961820f4156db05c7b0b2509c208ae03ec3464058a123fd
+size 196546
diff --git a/results/train/parabola/problem_6585.png b/results/train/parabola/problem_6585.png
new file mode 100644
index 0000000000000000000000000000000000000000..c3f7d64a702d18fde2920e19858a47318b6f3a6f
--- /dev/null
+++ b/results/train/parabola/problem_6585.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27ea6374c1c9adfc9aa3b9b8f2c647b87b83fed29643eb2f8278c0caf50682bd
+size 175749
diff --git a/results/train/parabola/problem_6588.png b/results/train/parabola/problem_6588.png
new file mode 100644
index 0000000000000000000000000000000000000000..765e465b63e42e93449636856c3decc9cfcb6639
--- /dev/null
+++ b/results/train/parabola/problem_6588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b207191b6179f97059405d164e537d471fbac48e7f4ef73e11a7a05e369f4e11
+size 184883
diff --git a/results/train/parabola/problem_6596.png b/results/train/parabola/problem_6596.png
new file mode 100644
index 0000000000000000000000000000000000000000..30a85b951719eb49f3545fd0ae209dba1db41947
--- /dev/null
+++ b/results/train/parabola/problem_6596.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5cc5c5bc731a4abc3c059e0bde85062ad87e053f135d2ff60b7fd6d963e1e401
+size 185286
diff --git a/results/train/parabola/problem_6599.png b/results/train/parabola/problem_6599.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d10cd89455e8c45f93c610ffe2a8760d4eb77fb
--- /dev/null
+++ b/results/train/parabola/problem_6599.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3d21ad9586c0139c3f54b3d7f2b4851b444196114b403a837728621fc63037cd
+size 201143
diff --git a/results/train/parabola/problem_6602.png b/results/train/parabola/problem_6602.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0e1920036a44e593460e0d78fddffafdd36b366
--- /dev/null
+++ b/results/train/parabola/problem_6602.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43b85a002e57d467b962cc1da201a63933b307bcdd5c0c3a175fb3361f2b3185
+size 176890
diff --git a/results/train/parabola/problem_6603.png b/results/train/parabola/problem_6603.png
new file mode 100644
index 0000000000000000000000000000000000000000..f89227b698ecf85d9edd9661619d11d46fa16c2f
--- /dev/null
+++ b/results/train/parabola/problem_6603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8f36f656bb0ae261dc0bf5647c978e2d097fe4cc201a3dd6ef686c6c0f9969c
+size 188394
diff --git a/results/train/parabola/problem_6604.png b/results/train/parabola/problem_6604.png
new file mode 100644
index 0000000000000000000000000000000000000000..a56340fd5d54a82a4365bb15d23ba74109b32217
--- /dev/null
+++ b/results/train/parabola/problem_6604.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7de15f8694d31b0c141a18c55eb5010b96841357a15b52b276deac8425edc25f
+size 184228
diff --git a/results/train/parabola/problem_6605.png b/results/train/parabola/problem_6605.png
new file mode 100644
index 0000000000000000000000000000000000000000..964d8ac51d5fde1b37b70bf8fd234a97bc641368
--- /dev/null
+++ b/results/train/parabola/problem_6605.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0902b7469008ba84600ca7251304e78fe07ac47551ec6d9bd90e0f218fb3f967
+size 201586
diff --git a/results/train/parabola/problem_6606.png b/results/train/parabola/problem_6606.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2529a533c3cb23eca9c9fd47034f4346c1edee8
--- /dev/null
+++ b/results/train/parabola/problem_6606.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:590b70f60f14afbccddebc33f5e61da0961f78a5f6033d47d75f6769a665c420
+size 209321
diff --git a/results/train/parabola/problem_6608.png b/results/train/parabola/problem_6608.png
new file mode 100644
index 0000000000000000000000000000000000000000..81e1b832ef494e66f00f9787e1c8de83f62c2e90
--- /dev/null
+++ b/results/train/parabola/problem_6608.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9d361ea2d710b2d8e6e2cc5220930db72d6f8c763f38f18e34dbb6779ce3d18
+size 192940
diff --git a/results/train/parabola/problem_6612.png b/results/train/parabola/problem_6612.png
new file mode 100644
index 0000000000000000000000000000000000000000..19f55023c41273bd9fdb55c6c38c088f6e54a1f3
--- /dev/null
+++ b/results/train/parabola/problem_6612.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f18dac228ba7d2d1e929e7d65cdbe5d8aa5401f13878abf5f2f6a672b03dc147
+size 187665
diff --git a/results/train/parabola/problem_6620.png b/results/train/parabola/problem_6620.png
new file mode 100644
index 0000000000000000000000000000000000000000..08871d01875344b31f2b652e589d209d619989c5
--- /dev/null
+++ b/results/train/parabola/problem_6620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f46628f3e9ce81a3ca05866c81bff036700ffe76328181043769545d50b73a43
+size 181573
diff --git a/results/train/parabola/problem_6623.png b/results/train/parabola/problem_6623.png
new file mode 100644
index 0000000000000000000000000000000000000000..a6df1afea0d7d6de696fe2fe9a8d0622eb33c100
--- /dev/null
+++ b/results/train/parabola/problem_6623.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:507fca4c7511f51b57c22f348e19766c3ef441bdf1cb0c5c7406acec76cd17d1
+size 186333
diff --git a/results/train/parabola/problem_6630.png b/results/train/parabola/problem_6630.png
new file mode 100644
index 0000000000000000000000000000000000000000..1d5ce0cb5d32347cb3cbd398228ec46a2e004da3
--- /dev/null
+++ b/results/train/parabola/problem_6630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:69d636edccd8ec783d4ea424ad66c8abae566b40709df02ad1622d9e155a0802
+size 188552
diff --git a/results/train/parabola/problem_6634.png b/results/train/parabola/problem_6634.png
new file mode 100644
index 0000000000000000000000000000000000000000..1a8df15f45a6017f12c93e4a79776f23916b276a
--- /dev/null
+++ b/results/train/parabola/problem_6634.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:722bedb5de30225989a3d8cf2d01df0a953c011dbfa7e0ae3291c71e20a90fb7
+size 199255
diff --git a/results/train/parabola/problem_6635.png b/results/train/parabola/problem_6635.png
new file mode 100644
index 0000000000000000000000000000000000000000..abe557a715fb46130363fd58f10e37440d11debe
--- /dev/null
+++ b/results/train/parabola/problem_6635.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3bd4b6225b93a300b4c881a3bea1c0362f743e22f4e6a1e1e1eb65e98d6be71f
+size 193466
diff --git a/results/train/parabola/problem_6636.png b/results/train/parabola/problem_6636.png
new file mode 100644
index 0000000000000000000000000000000000000000..3d06acd13f0c8c116062007c332466149a9c1b0b
--- /dev/null
+++ b/results/train/parabola/problem_6636.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:997f61f62f00957e74b41997916c709466ddb5f66203256c032592f73819856e
+size 187514
diff --git a/results/train/parabola/problem_6639.png b/results/train/parabola/problem_6639.png
new file mode 100644
index 0000000000000000000000000000000000000000..52cba96a4dddb744efc9378eb23326dd17b5fc89
--- /dev/null
+++ b/results/train/parabola/problem_6639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:277d37cacf07a10a64e42202abf61f52a3f67d0b206a76c1c7d61493e543c1f8
+size 199169
diff --git a/results/train/parabola/problem_6640.png b/results/train/parabola/problem_6640.png
new file mode 100644
index 0000000000000000000000000000000000000000..1612eff9e74ad122a182f5ff248b13c73a54220c
--- /dev/null
+++ b/results/train/parabola/problem_6640.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:63672acd6ab7570d31477e401140a503dd63c290e184f40ccfbdbd45d7812423
+size 163358
diff --git a/results/train/parabola/problem_6651.png b/results/train/parabola/problem_6651.png
new file mode 100644
index 0000000000000000000000000000000000000000..fd3d54f088513679c844fba9a4466731e95fbb0e
--- /dev/null
+++ b/results/train/parabola/problem_6651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e21d880d2fb83822463bc898093a846ac1a19a6b5f069d475ac1201ea1b18051
+size 179626
diff --git a/results/train/parabola/problem_6654.png b/results/train/parabola/problem_6654.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a7fadb22fa57c3d43aa533a53eb877c907a51d2
--- /dev/null
+++ b/results/train/parabola/problem_6654.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8dac931df1f654f57d7cec74a8a59170c4d24b7453485fc5afadbf42298682c9
+size 201426
diff --git a/results/train/parabola/problem_6656.png b/results/train/parabola/problem_6656.png
new file mode 100644
index 0000000000000000000000000000000000000000..ec633661a470ee716f15a77aa13c25f37f9a8697
--- /dev/null
+++ b/results/train/parabola/problem_6656.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d79ec3b35c23dd7de029ab35f6d80f93d09c896f3b00b21f6361cce7c74a6b7e
+size 202688
diff --git a/results/train/parabola/problem_6657.png b/results/train/parabola/problem_6657.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5b7f7125528dfd351ea31e1de63fd3d4d4b58de
--- /dev/null
+++ b/results/train/parabola/problem_6657.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d313b620eba6acf8f3445c3f2b9b12788277f9043520e34cc5b19250a4d658c7
+size 188594
diff --git a/results/train/parabola/problem_6661.png b/results/train/parabola/problem_6661.png
new file mode 100644
index 0000000000000000000000000000000000000000..d650e52d491813532e92c9ac56c5f46eecd08414
--- /dev/null
+++ b/results/train/parabola/problem_6661.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:51f17c701910ea9f02220b219b5f203c643bd399fbb4637ca08edf99858e35fc
+size 190220
diff --git a/results/train/parabola/problem_6666.png b/results/train/parabola/problem_6666.png
new file mode 100644
index 0000000000000000000000000000000000000000..41f2a3110963a6507c261661a19d5bd391c151d5
--- /dev/null
+++ b/results/train/parabola/problem_6666.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:70af9f34a671ca5be177e9c690b232484b433be34c080f520ad68a65030aefda
+size 194229
diff --git a/results/train/parabola/problem_6667.png b/results/train/parabola/problem_6667.png
new file mode 100644
index 0000000000000000000000000000000000000000..f60906ee82b48288bfd5ff10959f326b732d49ad
--- /dev/null
+++ b/results/train/parabola/problem_6667.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f95676dc3556c3cf61d18d6fe8df94b9f5dc2c77789fb9778bd25ed52950e88c
+size 178376
diff --git a/results/train/parabola/problem_6671.png b/results/train/parabola/problem_6671.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ca5f9e13756ae6e0e58b885b2406f35f1f28487
--- /dev/null
+++ b/results/train/parabola/problem_6671.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9aff2bba6b8a9729a78507ce67b6e8ed582cbadf44c390ef826b79bc08342241
+size 180908
diff --git a/results/train/parabola/problem_6672.png b/results/train/parabola/problem_6672.png
new file mode 100644
index 0000000000000000000000000000000000000000..640eeedd7fd320f6e01bf582c6a7a7ccf94b6d4a
--- /dev/null
+++ b/results/train/parabola/problem_6672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a3e161a5afe96a06b5ef555f75d0164fd013bb30de92695fd6697ee6882bce23
+size 201018
diff --git a/results/train/parabola/problem_6673.png b/results/train/parabola/problem_6673.png
new file mode 100644
index 0000000000000000000000000000000000000000..00d16bd22f1f0e8dc28703168c1fd8836c31da25
--- /dev/null
+++ b/results/train/parabola/problem_6673.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:804e8d0ad0c8d8b347c5e4fd775f727e6a1be382c39efa19674b618bc4b9d975
+size 194507
diff --git a/results/train/parabola/problem_6675.png b/results/train/parabola/problem_6675.png
new file mode 100644
index 0000000000000000000000000000000000000000..9157711460221584b68b359f9789cb5ff83b1e4a
--- /dev/null
+++ b/results/train/parabola/problem_6675.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf27b20e5f073239d4a080c29ba5cbfab80b4808914f898f6446067736b9f8ae
+size 202107
diff --git a/results/train/parabola/problem_6680.png b/results/train/parabola/problem_6680.png
new file mode 100644
index 0000000000000000000000000000000000000000..bb3a8332d948daa5021d78bb26b2cc9e060fb5b2
--- /dev/null
+++ b/results/train/parabola/problem_6680.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9dd42deda3461655f4dc38e7b26e5b8368990f236f40ff32131ebd7ec4bf232
+size 188794
diff --git a/results/train/parabola/problem_6685.png b/results/train/parabola/problem_6685.png
new file mode 100644
index 0000000000000000000000000000000000000000..6665eb5d45ed825c24cc5de0c5b50c35ae1e9ddf
--- /dev/null
+++ b/results/train/parabola/problem_6685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:cf725eb91ad808ee165abf60ec6bd0693fcd2d68950a0c0d5d7fb619cf187ccc
+size 193791
diff --git a/results/train/parabola/problem_6687.png b/results/train/parabola/problem_6687.png
new file mode 100644
index 0000000000000000000000000000000000000000..781c13258f547aa9e5eed87b204cea62ded0128a
--- /dev/null
+++ b/results/train/parabola/problem_6687.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8b492aaa6404db5bc5ccd16d6cc718d8c708dd854d448e60d06477c7990bc07e
+size 179352
diff --git a/results/train/parabola/problem_6688.png b/results/train/parabola/problem_6688.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0bdb96463529d5e767988e899ca9326b886a650
--- /dev/null
+++ b/results/train/parabola/problem_6688.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b9a285251fc5b65997b95103ca376640830c8d69eaa09ca86d51e17d37592fd1
+size 164526
diff --git a/results/train/parabola/problem_6693.png b/results/train/parabola/problem_6693.png
new file mode 100644
index 0000000000000000000000000000000000000000..ff9682324cd0a9873061e692bfbb3e05a926727a
--- /dev/null
+++ b/results/train/parabola/problem_6693.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26f5c9d8ba25156462254b250cbef24cf18247041cdffb47daefd121e63fa755
+size 189117
diff --git a/results/train/parabola/problem_6696.png b/results/train/parabola/problem_6696.png
new file mode 100644
index 0000000000000000000000000000000000000000..cfd94649b1947c9afc044e2e97c417c17df4f18a
--- /dev/null
+++ b/results/train/parabola/problem_6696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a8879ed181e8cf4cb55c3f629ab7fc82ac9e805ce969eda8d18c862bddb3d8d8
+size 187691
diff --git a/results/train/parabola/problem_6699.png b/results/train/parabola/problem_6699.png
new file mode 100644
index 0000000000000000000000000000000000000000..1c9359155b047c8758f0ea98506b6e17acb952fa
--- /dev/null
+++ b/results/train/parabola/problem_6699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:04868fe76464524c53596886acfb54724b62a079df71e5e30644ca80716723cc
+size 188441
diff --git a/results/train/parabola/problem_6703.png b/results/train/parabola/problem_6703.png
new file mode 100644
index 0000000000000000000000000000000000000000..80de6822562205631cc2e4051abb7b1f1efe4b73
--- /dev/null
+++ b/results/train/parabola/problem_6703.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe7238af5f23895d3220c9809bf6f8ad3f8b711603a72f05706cd7b73fa3cef2
+size 192320
diff --git a/results/train/parabola/problem_6709.png b/results/train/parabola/problem_6709.png
new file mode 100644
index 0000000000000000000000000000000000000000..1dd3d54c4d544fcd180407ea4335b12b91831a79
--- /dev/null
+++ b/results/train/parabola/problem_6709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b6e0ddbe7c92a344e9ae220ad6252f958f693669f4ae722d573d24a11a56d82
+size 168060
diff --git a/results/train/parabola/problem_6711.png b/results/train/parabola/problem_6711.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd8b11fb46ace17c23a46554ffcecdef7b64caf9
--- /dev/null
+++ b/results/train/parabola/problem_6711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a461bf42d4ced6c47af71a26b3760c83e6569763887bd806122675a15664bc7e
+size 191742
diff --git a/results/train/parabola/problem_6712.png b/results/train/parabola/problem_6712.png
new file mode 100644
index 0000000000000000000000000000000000000000..cbf94ce2cef0d86683374347e9c19a8ee2389293
--- /dev/null
+++ b/results/train/parabola/problem_6712.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6f790fdda1148e77ba53c4ac93f05ef17ba762c6eb0ddab2a898b975287914d0
+size 187390
diff --git a/results/train/parabola/problem_6716.png b/results/train/parabola/problem_6716.png
new file mode 100644
index 0000000000000000000000000000000000000000..b2f36cd33c42f88f1aa1b7b70c82b94345b6ed46
--- /dev/null
+++ b/results/train/parabola/problem_6716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:75ac918b7478907a9b9a9974e158b1fb82f7dbc4de5af5b90e2e8ab3af23c557
+size 190648
diff --git a/results/train/parabola/problem_6717.png b/results/train/parabola/problem_6717.png
new file mode 100644
index 0000000000000000000000000000000000000000..6127e118d8910330f14837d48647245fff973945
--- /dev/null
+++ b/results/train/parabola/problem_6717.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b453830ef74cfbfaefba58222d58ab0e273a4eb700baea59e7b47c311831db98
+size 171986
diff --git a/results/train/parabola/problem_6718.png b/results/train/parabola/problem_6718.png
new file mode 100644
index 0000000000000000000000000000000000000000..5496bba7be05c13af2ff344040201636d31dd53e
--- /dev/null
+++ b/results/train/parabola/problem_6718.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ee05b1ea89785b86fd5000ce76a94e86797adf0fc1429d5cff223340cde8451
+size 185768
diff --git a/results/train/parabola/problem_6723.png b/results/train/parabola/problem_6723.png
new file mode 100644
index 0000000000000000000000000000000000000000..95d32da10726bf8c0884d35fbff94fc0a6c32383
--- /dev/null
+++ b/results/train/parabola/problem_6723.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bb4657fd1fa7cbeeef46933cf470d00524f2750e43ed8c99a62f95e09a91e61f
+size 181343
diff --git a/results/train/parabola/problem_6742.png b/results/train/parabola/problem_6742.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2740107dad5c685d92073cf1cfdd4414483e475
--- /dev/null
+++ b/results/train/parabola/problem_6742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be9e59765b44d357d1e007838b0723a572a296c2f8e69d31b1c768db937f4827
+size 187429
diff --git a/results/train/parabola/problem_6743.png b/results/train/parabola/problem_6743.png
new file mode 100644
index 0000000000000000000000000000000000000000..4b4ce96b5f0b7e6679d644932e7e90be33dda9c2
--- /dev/null
+++ b/results/train/parabola/problem_6743.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:412233e8593e46a080be8fa4aa6af3d22905fedd8ee265a99b1a17b3e05b675b
+size 203288
diff --git a/results/train/parabola/problem_6751.png b/results/train/parabola/problem_6751.png
new file mode 100644
index 0000000000000000000000000000000000000000..cf49161c4ab6d0bdc62d7972769ef03bba4c552a
--- /dev/null
+++ b/results/train/parabola/problem_6751.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e7c61d4c08376ae343c55e681d853abd326e3339b40ad591d85f2e2d86ad97e
+size 188350
diff --git a/results/train/parabola/problem_6753.png b/results/train/parabola/problem_6753.png
new file mode 100644
index 0000000000000000000000000000000000000000..b0a75ca892c8d8a6860ff252138bcc94e61b71d4
--- /dev/null
+++ b/results/train/parabola/problem_6753.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:991d0223058ab4c68cab798a3b480d9099f8ba31d8f6f546418aa909502b458b
+size 193753
diff --git a/results/train/parabola/problem_6756.png b/results/train/parabola/problem_6756.png
new file mode 100644
index 0000000000000000000000000000000000000000..eec71deb28a1896dc31acb4260712f00967ae896
--- /dev/null
+++ b/results/train/parabola/problem_6756.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbbb0dbfd721e5db9b04493307083449dcc095711969b76187b845987392d15d
+size 193977
diff --git a/results/train/parabola/problem_6757.png b/results/train/parabola/problem_6757.png
new file mode 100644
index 0000000000000000000000000000000000000000..09b09ca31d4a6806bad7ee5b685a308c036c708d
--- /dev/null
+++ b/results/train/parabola/problem_6757.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10d1532da3594e738f356eb502628a7192fa2d1e9473d0d37d14c961a57a2356
+size 199717
diff --git a/results/train/parabola/problem_6762.png b/results/train/parabola/problem_6762.png
new file mode 100644
index 0000000000000000000000000000000000000000..e3944f152aafd92abaadddff0928f54670f86c71
--- /dev/null
+++ b/results/train/parabola/problem_6762.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e4e7aeeac5b374acb3e3a33e0a8c1c2d96a79fe0fff1718db5f5965fb7e5f290
+size 185357
diff --git a/results/train/parabola/problem_6763.png b/results/train/parabola/problem_6763.png
new file mode 100644
index 0000000000000000000000000000000000000000..592ddf5e75168f44274d86431c5496ddd9bb3118
--- /dev/null
+++ b/results/train/parabola/problem_6763.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:30b707401a90653d0e93ae6cc70ea3cfbbe6d71c32bfb21bd54caff70bbc6c63
+size 189482
diff --git a/results/train/parabola/problem_6766.png b/results/train/parabola/problem_6766.png
new file mode 100644
index 0000000000000000000000000000000000000000..e12b9d49c1bbe7c820acb9434291a379b9219fa8
--- /dev/null
+++ b/results/train/parabola/problem_6766.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fd7d60fb8e27516580f4c222c4ebba93364f50ed0da42fe97ff2da953dfe065
+size 190331
diff --git a/results/train/parabola/problem_6769.png b/results/train/parabola/problem_6769.png
new file mode 100644
index 0000000000000000000000000000000000000000..e2f2cf46b54f85e4bfe7d8ecec9e5160e25a311d
--- /dev/null
+++ b/results/train/parabola/problem_6769.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61aff55037a3550a07878e7f9790b04cc61db0201cf99e204a4f3c4d3b975b85
+size 181137
diff --git a/results/train/parabola/problem_6772.png b/results/train/parabola/problem_6772.png
new file mode 100644
index 0000000000000000000000000000000000000000..aba4befcd32618e2c1418a929dcefdf6d170aded
--- /dev/null
+++ b/results/train/parabola/problem_6772.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d95796337e4b22036729a5dbafae2b3a4b7f88742d916f587da9fbf45319005
+size 187934
diff --git a/results/train/parabola/problem_6773.png b/results/train/parabola/problem_6773.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fbaeab264c7dab4f429257d84dda7fe61d2c5f7
--- /dev/null
+++ b/results/train/parabola/problem_6773.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bfa5a369891a2e10a36ddf6ed1ce21969266da0f1c53acbaffc3aa484ec457f3
+size 182468
diff --git a/results/train/parabola/problem_6776.png b/results/train/parabola/problem_6776.png
new file mode 100644
index 0000000000000000000000000000000000000000..caf96a7a6aacc9b8330c652b681ef93949c57cfa
--- /dev/null
+++ b/results/train/parabola/problem_6776.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f0a3a055c12291758b05579f02d50a1db18c5dddf40e960863cc3e6baf20dae9
+size 182125
diff --git a/results/train/parabola/problem_6778.png b/results/train/parabola/problem_6778.png
new file mode 100644
index 0000000000000000000000000000000000000000..3578e742bdd91b77a53de6da0ef7707cdb493718
--- /dev/null
+++ b/results/train/parabola/problem_6778.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bf622e0dfd6329bde82cbd59cc2c4a3518105ce51c864d25b8d8893b3e9da3cd
+size 186186
diff --git a/results/train/parabola/problem_6781.png b/results/train/parabola/problem_6781.png
new file mode 100644
index 0000000000000000000000000000000000000000..53f0f7b12fd8afd6b73839e27a2db49a2e790156
--- /dev/null
+++ b/results/train/parabola/problem_6781.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:af83c317da10d6109188637b731aeccfb5efee7f8a020479633dcd16c8ac6677
+size 193757
diff --git a/results/train/parabola/problem_6784.png b/results/train/parabola/problem_6784.png
new file mode 100644
index 0000000000000000000000000000000000000000..ddfbcb63e58ed27d8e7f6f3c36f4164a9bec0706
--- /dev/null
+++ b/results/train/parabola/problem_6784.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b0dd0bff4e85f8130ebc9b6593abc9f98f73236bfcc370808109b550a949f6cb
+size 188448
diff --git a/results/train/parabola/problem_6788.png b/results/train/parabola/problem_6788.png
new file mode 100644
index 0000000000000000000000000000000000000000..8e1e5228989331d532a9686082441b2976fbc30e
--- /dev/null
+++ b/results/train/parabola/problem_6788.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26c4ce979afd1efd620afdad92d8426a62a2ac15eb5b467bc23eb646a18aae99
+size 183645
diff --git a/results/train/parabola/problem_6791.png b/results/train/parabola/problem_6791.png
new file mode 100644
index 0000000000000000000000000000000000000000..c6a972e6d20805efa95dc34198529a9716b8be09
--- /dev/null
+++ b/results/train/parabola/problem_6791.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8514afab10a9a672be95ef1de81d204f8069c28c3b33b17fde9014be18144804
+size 188801
diff --git a/results/train/parabola/problem_6796.png b/results/train/parabola/problem_6796.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad2b7c19f75b6a80628393347cb3b66f5649b9cc
--- /dev/null
+++ b/results/train/parabola/problem_6796.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:140b6e71ec45bf72b0f5d34c0aa731dd034f3bacb98be12ae84609e7adf9c5a2
+size 194760
diff --git a/results/train/parabola/problem_6803.png b/results/train/parabola/problem_6803.png
new file mode 100644
index 0000000000000000000000000000000000000000..188bc3a51c380306d04e64e50d48fd9c411661af
--- /dev/null
+++ b/results/train/parabola/problem_6803.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7117a0e7eecc77623021de2b2368c9de26c1ac54fcd748f25936be09b684c9b1
+size 187437
diff --git a/results/train/parabola/problem_6805.png b/results/train/parabola/problem_6805.png
new file mode 100644
index 0000000000000000000000000000000000000000..e90e222daf907ee5e4303a8f96ce93aaf0c7e58c
--- /dev/null
+++ b/results/train/parabola/problem_6805.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ac933a34337147a14d0a5df0cc5e1e83e7ccbfc837638d8b0a771e9e24d09ec4
+size 182960
diff --git a/results/train/parabola/problem_6810.png b/results/train/parabola/problem_6810.png
new file mode 100644
index 0000000000000000000000000000000000000000..9c7d21ec246024c73fabd0e5afc92064d5ec45e1
--- /dev/null
+++ b/results/train/parabola/problem_6810.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:592b15275e616411abd6186d94021533ef6012f8b8ac98a32fedd90b8ef54f28
+size 195685
diff --git a/results/train/parabola/problem_6815.png b/results/train/parabola/problem_6815.png
new file mode 100644
index 0000000000000000000000000000000000000000..8faebd9785c3e971c196451bcb22a7dd104f143e
--- /dev/null
+++ b/results/train/parabola/problem_6815.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6d2b42aff8f46d5674985901f5372ee3a3d73ea7afaee85bcf3d1c7b2a5a2349
+size 187745
diff --git a/results/train/parabola/problem_6819.png b/results/train/parabola/problem_6819.png
new file mode 100644
index 0000000000000000000000000000000000000000..ebba3756b88e42af956841c63d6782c071ed139c
--- /dev/null
+++ b/results/train/parabola/problem_6819.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb7581421637e1e4fa002ea64f12eb1e6deeddcb11576ad3fe4f37a9372040d6
+size 201111
diff --git a/results/train/parabola/problem_6820.png b/results/train/parabola/problem_6820.png
new file mode 100644
index 0000000000000000000000000000000000000000..e90f3122e2d019c3d3b46c0d8a3755e7dcf4d68e
--- /dev/null
+++ b/results/train/parabola/problem_6820.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4d7730ebe6c7ea2f349b85ce5e9e947beaf1de28ed17e4203aaf0528676a35ca
+size 177167
diff --git a/results/train/parabola/problem_6821.png b/results/train/parabola/problem_6821.png
new file mode 100644
index 0000000000000000000000000000000000000000..8f19afee49f38448541afa7ef645c853a50bb246
--- /dev/null
+++ b/results/train/parabola/problem_6821.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e5c1da846f6373189dc93c1a0d285ac1e4bc1113213561e1bdcfc2874329fd7
+size 164122
diff --git a/results/train/parabola/problem_6824.png b/results/train/parabola/problem_6824.png
new file mode 100644
index 0000000000000000000000000000000000000000..dccc8b476763607ed3ddf178e5f121272c072216
--- /dev/null
+++ b/results/train/parabola/problem_6824.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dba6b337cd88231755e18974534983cf267a6c5c59f15e66ed2781598bad16e7
+size 177428
diff --git a/results/train/parabola/problem_6825.png b/results/train/parabola/problem_6825.png
new file mode 100644
index 0000000000000000000000000000000000000000..fcdb83722516d729dfbc49e327a806e7c51d2d59
--- /dev/null
+++ b/results/train/parabola/problem_6825.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7a91bfeb0735c4811f38663fe0d132332b8dcd11f1817bfd08648663b72dc0a6
+size 189960
diff --git a/results/train/parabola/problem_6826.png b/results/train/parabola/problem_6826.png
new file mode 100644
index 0000000000000000000000000000000000000000..59ca3812233bfb805122ffce29e3c4df801c375a
--- /dev/null
+++ b/results/train/parabola/problem_6826.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7068b7245acdff5e64761f02ebef22d40d975d67da825821bd76de32f3763580
+size 187320
diff --git a/results/train/parabola/problem_6827.png b/results/train/parabola/problem_6827.png
new file mode 100644
index 0000000000000000000000000000000000000000..70d758626900852d432fb300bbf26601b2fc3980
--- /dev/null
+++ b/results/train/parabola/problem_6827.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e67320f862cd3cee52dbb7bb7e206247b0bb64b9ed78af2d05433a61afbae726
+size 188399
diff --git a/results/train/parabola/problem_6836.png b/results/train/parabola/problem_6836.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd7754fd75edcd4e374fd92bc2560a5292e5d758
--- /dev/null
+++ b/results/train/parabola/problem_6836.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:43149caddd9ae6e4e789b9051da6026cdb1b7d6b56beea386f2cc538a8fe93b6
+size 196442
diff --git a/results/train/parabola/problem_6849.png b/results/train/parabola/problem_6849.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d6ccebd5716916758472c8bfdc5908d5be15bd2
--- /dev/null
+++ b/results/train/parabola/problem_6849.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:10b2fbd3b4bd89537f19911dd6536c5f0f74bac25c1052545a7bf9f2e063c6e4
+size 180893
diff --git a/results/train/parabola/problem_6855.png b/results/train/parabola/problem_6855.png
new file mode 100644
index 0000000000000000000000000000000000000000..28f21fb4a9054a8d3d2297e2cd3900499f31b758
--- /dev/null
+++ b/results/train/parabola/problem_6855.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4aab9625e00d3a703c95a3b21c7413a0577274a28c572e76a98ded290c50c1d1
+size 185269
diff --git a/results/train/parabola/problem_6857.png b/results/train/parabola/problem_6857.png
new file mode 100644
index 0000000000000000000000000000000000000000..a08b314ec40e57d1ed5b5a7dd57d719b17a74ecc
--- /dev/null
+++ b/results/train/parabola/problem_6857.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b28be4b47a30130c1d32762479dc3f2c5c99c1b38a8b40c0b618015997b7beda
+size 180235
diff --git a/results/train/parabola/problem_6860.png b/results/train/parabola/problem_6860.png
new file mode 100644
index 0000000000000000000000000000000000000000..0eb2b5f80ee906ee2b4738cb6bd414b259a304a1
--- /dev/null
+++ b/results/train/parabola/problem_6860.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fbcb47d01f1fb135d7b53b5312097e0f51b68ecdb153dec8f0827945223a91ae
+size 190429
diff --git a/results/train/parabola/problem_6867.png b/results/train/parabola/problem_6867.png
new file mode 100644
index 0000000000000000000000000000000000000000..03c451023b2c690f39fa66c5b974f10744aad18f
--- /dev/null
+++ b/results/train/parabola/problem_6867.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4b64e90d11803408c420df4bab9eb52b9b2b0e99cef6b88b888ce86bf1a1e5ac
+size 178866
diff --git a/results/train/parabola/problem_6872.png b/results/train/parabola/problem_6872.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8376f0806baa85f8088850a07c5e47117615d9d
--- /dev/null
+++ b/results/train/parabola/problem_6872.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0209fb3b91e325f9532f23569b38837f34850255aa51e47d9612d9e060a1d019
+size 167916
diff --git a/results/train/parabola/problem_6874.png b/results/train/parabola/problem_6874.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a2bcd00f70b5014c9b9bb0132d8e58f9f863e8a
--- /dev/null
+++ b/results/train/parabola/problem_6874.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:545d935b2c9ea029bbef655873589efabc9d95cc4db3eb6f8fb0930178907ebe
+size 190153
diff --git a/results/train/parabola/problem_6875.png b/results/train/parabola/problem_6875.png
new file mode 100644
index 0000000000000000000000000000000000000000..fa8faa0d54247fa010acb73a19256cc790c9a15d
--- /dev/null
+++ b/results/train/parabola/problem_6875.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7fc672cf5a4e1b4daaa1149736bed76749b0895b4118b4466dba093317d7fd23
+size 199924
diff --git a/results/train/parabola/problem_6876.png b/results/train/parabola/problem_6876.png
new file mode 100644
index 0000000000000000000000000000000000000000..59e62235caa6587899da73e54ac6e1ff86fe8613
--- /dev/null
+++ b/results/train/parabola/problem_6876.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6632ae64e40a5672f19135ad0f59971371d1db0f3326a02ad5d4489b0800627c
+size 192947
diff --git a/results/train/parabola/problem_6883.png b/results/train/parabola/problem_6883.png
new file mode 100644
index 0000000000000000000000000000000000000000..366c1ccae355a19ea8f190804ea72ba578b22ceb
--- /dev/null
+++ b/results/train/parabola/problem_6883.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:841d8457954a1aa0a1d0a1625c13059405c3bdfe0158557e130156a875494f77
+size 187349
diff --git a/results/train/parabola/problem_6888.png b/results/train/parabola/problem_6888.png
new file mode 100644
index 0000000000000000000000000000000000000000..1282698f17451b6c63e5859ee6486b9a150ef512
--- /dev/null
+++ b/results/train/parabola/problem_6888.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7353aadc01ab49d253fad5ef93feb66509d086febae9643a7423fd41f3585f31
+size 211138
diff --git a/results/train/parabola/problem_6892.png b/results/train/parabola/problem_6892.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3739b29989edf0eab28232c0a4e0da10fa9d0a8
--- /dev/null
+++ b/results/train/parabola/problem_6892.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f79e450a97a0edcf2970c7dbe3921de3bbd0456995320189fd7c91d4085dc0a1
+size 193688
diff --git a/results/train/parabola/problem_6895.png b/results/train/parabola/problem_6895.png
new file mode 100644
index 0000000000000000000000000000000000000000..abf0bff5c678831ec4dae41a74b91d5c70096461
--- /dev/null
+++ b/results/train/parabola/problem_6895.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:89542e8cf76903f5d9f1d99603c8fcbc5396fe6bd53b344b48f93651c293d8fe
+size 191559
diff --git a/results/train/parabola/problem_6897.png b/results/train/parabola/problem_6897.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f1fb196cc7c12bbd5272d7d1cf7d40281facd47
--- /dev/null
+++ b/results/train/parabola/problem_6897.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d6723098cf4d987fa55723b24011259bb4439db3925e533484f389114bbc796
+size 187653
diff --git a/results/train/parabola/problem_6900.png b/results/train/parabola/problem_6900.png
new file mode 100644
index 0000000000000000000000000000000000000000..6cd51cd3c9301a3966f56a96d5a06f8b19ffbb68
--- /dev/null
+++ b/results/train/parabola/problem_6900.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48eaa750dc2342f0b58c9ffa8e2f3b6ff8afe4b62d3758986b59ccbf5ef8e769
+size 184555
diff --git a/results/train/parabola/problem_6901.png b/results/train/parabola/problem_6901.png
new file mode 100644
index 0000000000000000000000000000000000000000..0b2b657a4c92cb481d6507a6637969fa69634cac
--- /dev/null
+++ b/results/train/parabola/problem_6901.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47fbcb0cf146ee19e3401e209fc37ddcaec41b7183a96020d75d6402d5c3013c
+size 183129
diff --git a/results/train/parabola/problem_6902.png b/results/train/parabola/problem_6902.png
new file mode 100644
index 0000000000000000000000000000000000000000..2cff42e2b982d47dbde29daef504e21e8fa49eea
--- /dev/null
+++ b/results/train/parabola/problem_6902.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:24ae9c9490cd0c2258f3975260cf2530b5b420505f741ec6aec2466d6502d3c4
+size 201055
diff --git a/results/train/parabola/problem_6915.png b/results/train/parabola/problem_6915.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a0fd2c7509ade8009f2a630f9c41c8472d5bd09
--- /dev/null
+++ b/results/train/parabola/problem_6915.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:31794937368d2ac47d6096a82e7531a9347f617553c7b850a850f99bca023a11
+size 190374
diff --git a/results/train/parabola/problem_6916.png b/results/train/parabola/problem_6916.png
new file mode 100644
index 0000000000000000000000000000000000000000..5c7fbae45d3c7adf2ab7d7cab197994e79ce6b47
--- /dev/null
+++ b/results/train/parabola/problem_6916.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3debe8c2ba5dabebd524c96ce5065f94d10bd028edb71eb936d5458d425aa8f9
+size 169255
diff --git a/results/train/parabola/problem_6921.png b/results/train/parabola/problem_6921.png
new file mode 100644
index 0000000000000000000000000000000000000000..e1a3b81402a38e9f18ea01d1fdd7ef801e2ac47e
--- /dev/null
+++ b/results/train/parabola/problem_6921.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:29f2a0374c91ced9a7fb4e3b236f51c7b1a4d695765553d8f087d5cb9229a4b7
+size 192530
diff --git a/results/train/parabola/problem_6925.png b/results/train/parabola/problem_6925.png
new file mode 100644
index 0000000000000000000000000000000000000000..da79172123d2a6f919952dc7a06e06fe4a248b61
--- /dev/null
+++ b/results/train/parabola/problem_6925.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:916853e42a5fdbcdebebdf0d0dc19875b3ca9455afbdb7bb8d2f329c14bf091a
+size 186974
diff --git a/results/train/parabola/problem_6929.png b/results/train/parabola/problem_6929.png
new file mode 100644
index 0000000000000000000000000000000000000000..2564ace2833c5ff2a5678494f15c2abd852e6760
--- /dev/null
+++ b/results/train/parabola/problem_6929.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9f4f15f39a0428db0baf5252b50c0370ceb1b92ea4b86da92090f1aa547b8de
+size 202429
diff --git a/results/train/parabola/problem_6932.png b/results/train/parabola/problem_6932.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a4f5da7f9c5806e6fd76ad4230a39c75658b5fa
--- /dev/null
+++ b/results/train/parabola/problem_6932.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c2e8b37717619c19899830342da0200c5c708d1d98ba90b2e5edaab30eedb7b1
+size 204394
diff --git a/results/train/parabola/problem_6935.png b/results/train/parabola/problem_6935.png
new file mode 100644
index 0000000000000000000000000000000000000000..7ec65734938753f8f8def8aebdd8911b198c335d
--- /dev/null
+++ b/results/train/parabola/problem_6935.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7b0fac621e41be05025b74c8f212be301fafa8c4af7985b21ea97a76b1703eb8
+size 189909
diff --git a/results/train/parabola/problem_6937.png b/results/train/parabola/problem_6937.png
new file mode 100644
index 0000000000000000000000000000000000000000..d1ffaadb6a24cad38734085415805fb99404b81d
--- /dev/null
+++ b/results/train/parabola/problem_6937.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb2db0d3be191f0f2838b3320cd362407c5752b9eda2ef513d7502e390da2125
+size 153845
diff --git a/results/train/parabola/problem_6940.png b/results/train/parabola/problem_6940.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9e3eed7a4b1e4dbece027abf9c6179c5069cc6f
--- /dev/null
+++ b/results/train/parabola/problem_6940.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3ae8569850e9ae4f2686731a506c0d57875d7305d59716e3cc7c8b498aefcac5
+size 198254
diff --git a/results/train/parabola/problem_6943.png b/results/train/parabola/problem_6943.png
new file mode 100644
index 0000000000000000000000000000000000000000..dec9ef4c694524cc02fcbc00b48f4de5aba8dda9
--- /dev/null
+++ b/results/train/parabola/problem_6943.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ff03d1e6ee47d1baca19d0685fa841f610ac5c3dd09f8a2a86101edf7b89c732
+size 188085
diff --git a/results/train/parabola/problem_6944.png b/results/train/parabola/problem_6944.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cbe62d1e3bdc833bca4fd0fbf99097de6081cff
--- /dev/null
+++ b/results/train/parabola/problem_6944.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:504d5f57595effd7b44bf87c90b2f6194793ea329c9c44fb4970291cfdd787b6
+size 187087
diff --git a/results/train/parabola/problem_6945.png b/results/train/parabola/problem_6945.png
new file mode 100644
index 0000000000000000000000000000000000000000..3a17b7db018782cdbf2b384f42698973bc74b122
--- /dev/null
+++ b/results/train/parabola/problem_6945.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0128583db3f30b6dfd32a850173d6d2322b33c4ea276f5040f2273d34787c979
+size 189598
diff --git a/results/train/parabola/problem_6953.png b/results/train/parabola/problem_6953.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f76110ccca73966530e0b1cebcb915462435da6
--- /dev/null
+++ b/results/train/parabola/problem_6953.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c42a4f35ac2a0738df2505f9b3a6c9e2e7bee9ff3c41c77a7ff41fe7bccd943c
+size 180032
diff --git a/results/train/parabola/problem_6956.png b/results/train/parabola/problem_6956.png
new file mode 100644
index 0000000000000000000000000000000000000000..9965f207e59cd28a9f5f3f43f576b0b7623e97ef
--- /dev/null
+++ b/results/train/parabola/problem_6956.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5be10d8424af50a18f16ea231ca7a0a9b55e70bcaa2976b264a2f420a7ab5816
+size 189548
diff --git a/results/train/parabola/problem_6961.png b/results/train/parabola/problem_6961.png
new file mode 100644
index 0000000000000000000000000000000000000000..c121a98a9bd0edeb67689a9df0edb641c6350657
--- /dev/null
+++ b/results/train/parabola/problem_6961.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74a88b13ce0d4ff9add33000a7ef5e5f2e21699e1b6849f9ce1efd718b732c8f
+size 186483
diff --git a/results/train/parabola/problem_6962.png b/results/train/parabola/problem_6962.png
new file mode 100644
index 0000000000000000000000000000000000000000..04c46597c3a085fe427f8bdb995594a2cd920561
--- /dev/null
+++ b/results/train/parabola/problem_6962.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:eb69e97d35582dcb1632089bfad6d75523d061e64de999cdb2c97dc8e3847a08
+size 190835
diff --git a/results/train/parabola/problem_6963.png b/results/train/parabola/problem_6963.png
new file mode 100644
index 0000000000000000000000000000000000000000..ecfd43b3562a7dbcfef78a669214b4a341add378
--- /dev/null
+++ b/results/train/parabola/problem_6963.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d31601a76e77d5dd2e6a94c47a5661c279ba956bcfa600fb15c358b653bfdf62
+size 183101
diff --git a/results/train/parabola/problem_6968.png b/results/train/parabola/problem_6968.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3e91dcd39a3176ddc3c8e205c9796f45665ffa8
--- /dev/null
+++ b/results/train/parabola/problem_6968.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:61aae98c56f1a2626b35934c7abc799528db4edc5d00c99278c276003bfb6381
+size 195808
diff --git a/results/train/parabola/problem_6976.png b/results/train/parabola/problem_6976.png
new file mode 100644
index 0000000000000000000000000000000000000000..cd7d56b328c937020b76c8ea42a06d65bc5785f7
--- /dev/null
+++ b/results/train/parabola/problem_6976.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5fc2f34a0509a96688ee442f9da00bb2971918a450f34aebd93cb05a14ff52f
+size 188158
diff --git a/results/train/parabola/problem_6977.png b/results/train/parabola/problem_6977.png
new file mode 100644
index 0000000000000000000000000000000000000000..57716b86ad9908beb6bd7d446c1bf609a17ef19f
--- /dev/null
+++ b/results/train/parabola/problem_6977.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7971752496569d87226745b2af73b3ce584a099033e7c5629bdd3665bde02ee8
+size 201323
diff --git a/results/train/parabola/problem_6981.png b/results/train/parabola/problem_6981.png
new file mode 100644
index 0000000000000000000000000000000000000000..91ad5479feb0e959789148915efada825334829c
--- /dev/null
+++ b/results/train/parabola/problem_6981.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2b964b1aaf77eed69968c48029d47e298873b093a731f8e8a65d9b32736f0f0
+size 187149
diff --git a/results/train/parabola/problem_6987.png b/results/train/parabola/problem_6987.png
new file mode 100644
index 0000000000000000000000000000000000000000..5d405f055427c7e49e8032f71bf409b9f7793161
--- /dev/null
+++ b/results/train/parabola/problem_6987.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ef85d8e2462a5a1b3fe106293978c4f6f6ffbcc0cdf612ae9b9833b583acd13
+size 191981
diff --git a/results/train/parabola/problem_6993.png b/results/train/parabola/problem_6993.png
new file mode 100644
index 0000000000000000000000000000000000000000..6508db10fc2a1c5f9b32c615a19fc25d7a2eea02
--- /dev/null
+++ b/results/train/parabola/problem_6993.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:098b95913a986c4767784859c833713a4a642944d2b754cacb15a66dee60cce6
+size 193907
diff --git a/results/train/parabola/problem_6994.png b/results/train/parabola/problem_6994.png
new file mode 100644
index 0000000000000000000000000000000000000000..97c967d3224f0820afd9caa70bb9a5ea751d1549
--- /dev/null
+++ b/results/train/parabola/problem_6994.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:55733ac2b1609567c8d0452c7a3ad6de1e3df7aff763501eaf38b9070cceb531
+size 204197
diff --git a/results/train/parabola/problem_6995.png b/results/train/parabola/problem_6995.png
new file mode 100644
index 0000000000000000000000000000000000000000..f8c7d1ee6b8f0435fcdd562291dbcbccc2b4b6d6
--- /dev/null
+++ b/results/train/parabola/problem_6995.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c9d5a0dcd3a63045338ad2985aa93eab963b11a62c260309ef66ee6e64b7475d
+size 199892
diff --git a/results/train/parabola/problem_6999.png b/results/train/parabola/problem_6999.png
new file mode 100644
index 0000000000000000000000000000000000000000..7129c0dfbe27f99a9b74a228fc1fd02ade66d65a
--- /dev/null
+++ b/results/train/parabola/problem_6999.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72c0819e88ef119db32cfc789a827f513412e049aac4c50985940af60ade88ee
+size 190080
diff --git a/results/train/parabola/problem_7002.png b/results/train/parabola/problem_7002.png
new file mode 100644
index 0000000000000000000000000000000000000000..063a1e3c67af3025883eba111f6d52d65d07365d
--- /dev/null
+++ b/results/train/parabola/problem_7002.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:db36afb4c8387dce5bccc7acdc247436174e6737653899ab0c36ccc9a5ed8d20
+size 182527
diff --git a/results/train/parabola/problem_7008.png b/results/train/parabola/problem_7008.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd0668cc0588a362d1965476b7c9ff871f76e873
--- /dev/null
+++ b/results/train/parabola/problem_7008.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:872e05ff7b8943722b1e20fba6700fc491bfc3a43be93fb5807cea6f3bb4359e
+size 192184
diff --git a/results/train/parabola/problem_7011.png b/results/train/parabola/problem_7011.png
new file mode 100644
index 0000000000000000000000000000000000000000..8b9cef7b04d79fd3148efd6764a9577de5b52eb7
--- /dev/null
+++ b/results/train/parabola/problem_7011.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ffea23b6a05e0ead5a61c412943f066a3b4308d2ca63477d1d85884ce46447d
+size 196647
diff --git a/results/train/parabola/problem_7013.png b/results/train/parabola/problem_7013.png
new file mode 100644
index 0000000000000000000000000000000000000000..4bbf2d4f7d35ef72ea34055eaf07b6a21ac294e1
--- /dev/null
+++ b/results/train/parabola/problem_7013.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e6fab19d23d9bdf733ca77caabc9bc3ea56a3651f9724ecb2e39196dcac103a
+size 201168
diff --git a/results/train/parabola/problem_7014.png b/results/train/parabola/problem_7014.png
new file mode 100644
index 0000000000000000000000000000000000000000..c53839573d6ec860c5bb687180456460bbac91da
--- /dev/null
+++ b/results/train/parabola/problem_7014.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:700df73df44eb35cbb94d575785909636d184dad7bf8b5286f2a9b1a30e1cccb
+size 205819
diff --git a/results/train/parabola/problem_7018.png b/results/train/parabola/problem_7018.png
new file mode 100644
index 0000000000000000000000000000000000000000..2ab0a69b1540dcf62338d17e86cd011e3d8b296d
--- /dev/null
+++ b/results/train/parabola/problem_7018.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a0edcedc3b168deb94477b12dd986fea6473884dff2c9380d6f67e38f1bbf244
+size 195314
diff --git a/results/train/parabola/problem_7020.png b/results/train/parabola/problem_7020.png
new file mode 100644
index 0000000000000000000000000000000000000000..204bb56aa93635597b1d9542138634e929d8c43e
--- /dev/null
+++ b/results/train/parabola/problem_7020.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:950726188b09c6b18f909050555287e0dc0aac7b907db5fd7ebdc74d787c1a66
+size 208369
diff --git a/results/train/parabola/problem_7023.png b/results/train/parabola/problem_7023.png
new file mode 100644
index 0000000000000000000000000000000000000000..d3b6a140c60f52ef6c901ed8aa7cd6712e2bc310
--- /dev/null
+++ b/results/train/parabola/problem_7023.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:339bc016e8296f252010a31e0d48d860d12f145d675dc59457a4db6e58282bc8
+size 186843
diff --git a/results/train/parabola/problem_7024.png b/results/train/parabola/problem_7024.png
new file mode 100644
index 0000000000000000000000000000000000000000..843f5ece76a4482d6a10b5ab3d63ae7c1ba3609e
--- /dev/null
+++ b/results/train/parabola/problem_7024.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1abcb3eb67677c3e6267fb221e2952087bf12097a1a74b78d5a4dcb87688c4c6
+size 155201
diff --git a/results/train/parabola/problem_7027.png b/results/train/parabola/problem_7027.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f8ed16bedb662c4d21a20fd106bb7138bf54630
--- /dev/null
+++ b/results/train/parabola/problem_7027.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dc73920c7a3742e015eb51ba1723b5e56d5ec38e5eec3e37cff8b90aa1c81e98
+size 182972
diff --git a/results/train/parabola/problem_7030.png b/results/train/parabola/problem_7030.png
new file mode 100644
index 0000000000000000000000000000000000000000..bab65100f8f2884efdeb950bf9c72d1f1192d16f
--- /dev/null
+++ b/results/train/parabola/problem_7030.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:353a3a6b59b26f9eb1b014748b156375dd08efbb8639efde9abe37863b90a34e
+size 195898
diff --git a/results/train/parabola/problem_7032.png b/results/train/parabola/problem_7032.png
new file mode 100644
index 0000000000000000000000000000000000000000..5a455a77530c7da291f82cdcab9c41128183117c
--- /dev/null
+++ b/results/train/parabola/problem_7032.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f29bf342ebe6d5209a18aa4c96e32f576fe594527808ab3e0c66e187b3d0a03
+size 184439
diff --git a/results/train/parabola/problem_7035.png b/results/train/parabola/problem_7035.png
new file mode 100644
index 0000000000000000000000000000000000000000..ca2b29c73b7d29754485885a6fba4021fbfbbb48
--- /dev/null
+++ b/results/train/parabola/problem_7035.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e0b01ab67ab276281f76643f3a094c68a3ed79358da562b3df9dbf308148346
+size 159464
diff --git a/results/train/parabola/problem_7037.png b/results/train/parabola/problem_7037.png
new file mode 100644
index 0000000000000000000000000000000000000000..a028c5c2f5ba07b47efe8bfc1ea4d7ea0630a6db
--- /dev/null
+++ b/results/train/parabola/problem_7037.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48b27cdaad0e4a657e5723dca1f3f0e20665e810f5627e0ab4dac59d6771d1e2
+size 146923
diff --git a/results/train/parabola/problem_7038.png b/results/train/parabola/problem_7038.png
new file mode 100644
index 0000000000000000000000000000000000000000..141dd779837880af90eb7321d43f06edb5ce33b4
--- /dev/null
+++ b/results/train/parabola/problem_7038.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a20b9826959b4b6f8695bff2439cfa9e72a4c700bdd812fc23edcfc5f2ef56ab
+size 190407
diff --git a/results/train/parabola/problem_7040.png b/results/train/parabola/problem_7040.png
new file mode 100644
index 0000000000000000000000000000000000000000..31787ee3d94539c50f55776749e20c845aaa970c
--- /dev/null
+++ b/results/train/parabola/problem_7040.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1fa70ca04a113bc4b2f14e93a1878af7a4f7e4f64b428d8341d09a745f21b4f6
+size 195011
diff --git a/results/train/parabola/problem_7044.png b/results/train/parabola/problem_7044.png
new file mode 100644
index 0000000000000000000000000000000000000000..35534f80dec55f4f399ab873dbedbcce365211f8
--- /dev/null
+++ b/results/train/parabola/problem_7044.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:656e13a41d28f96c150dca70ca0b82403b62f1f4406556ef0c0043d569882039
+size 186704
diff --git a/results/train/parabola/problem_7049.png b/results/train/parabola/problem_7049.png
new file mode 100644
index 0000000000000000000000000000000000000000..144fa48b53ec5945eaa65330bc681b37699ab154
--- /dev/null
+++ b/results/train/parabola/problem_7049.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d23dc21a063aea51cc40d3c531bca598e888140775a55e898e99234e6f0b0be
+size 186328
diff --git a/results/train/parabola/problem_7050.png b/results/train/parabola/problem_7050.png
new file mode 100644
index 0000000000000000000000000000000000000000..f5afb59ece860b9d413936ed22346a2c4b35fda5
--- /dev/null
+++ b/results/train/parabola/problem_7050.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f424587851867e73c3e1cc4cdb03b6bed6125d4ec9961806bee1587f76d9387
+size 177915
diff --git a/results/train/parabola/problem_7056.png b/results/train/parabola/problem_7056.png
new file mode 100644
index 0000000000000000000000000000000000000000..0d81931dbcf09da4d698908efa6b49af27ad64f6
--- /dev/null
+++ b/results/train/parabola/problem_7056.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:718190d636021ea6f7433dbd678cf983c62c6e29a7d685649e8d19154801c05d
+size 194662
diff --git a/results/train/parabola/problem_7058.png b/results/train/parabola/problem_7058.png
new file mode 100644
index 0000000000000000000000000000000000000000..9ce29d7e47a8a700f50866708c1194821263d810
--- /dev/null
+++ b/results/train/parabola/problem_7058.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:74b02cd02d30dc2557f0672c70c11523a3de68e5c6e161434c07861d74177699
+size 195058
diff --git a/results/train/parabola/problem_7059.png b/results/train/parabola/problem_7059.png
new file mode 100644
index 0000000000000000000000000000000000000000..6f21fef1433bd6505083c67f1ab0b37569b1832a
--- /dev/null
+++ b/results/train/parabola/problem_7059.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2392bded6806ec190b81f9ac3418703f5c31fede65543ecbc5a8ba12f67fd777
+size 182947
diff --git a/results/train/parabola/problem_7060.png b/results/train/parabola/problem_7060.png
new file mode 100644
index 0000000000000000000000000000000000000000..a57643f91d4857e1c8d221b5b9dc57603cb7e26e
--- /dev/null
+++ b/results/train/parabola/problem_7060.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9d549120762238d1a6b62181612f83ec3d93fb4b2b09dcdf39ea403f8ac3c9b5
+size 187507
diff --git a/results/train/parabola/problem_7063.png b/results/train/parabola/problem_7063.png
new file mode 100644
index 0000000000000000000000000000000000000000..b3c6fbbc0e6d0cbd73efe28d342997bfbec077c6
--- /dev/null
+++ b/results/train/parabola/problem_7063.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4efcd092579f7d27f49a1ce08d41125adae4673c90a2c38450a14316dd5571a
+size 184500
diff --git a/results/train/parabola/problem_7064.png b/results/train/parabola/problem_7064.png
new file mode 100644
index 0000000000000000000000000000000000000000..4eababbe7012f8b6b0a2259241f67f6389b7c04b
--- /dev/null
+++ b/results/train/parabola/problem_7064.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b375a520bbcc1a57e2c62b966166bb4545aff5ee935ef253a61e1ab6f142b1f1
+size 205164
diff --git a/results/train/parabola/problem_7065.png b/results/train/parabola/problem_7065.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0e2a6eb648515358f2ff97814fab89f11c7d076
--- /dev/null
+++ b/results/train/parabola/problem_7065.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a78161a949b0c4144ea68fceb26873e94bdc51b545edab5de144117e064a6509
+size 201047
diff --git a/results/train/parabola/problem_7090.png b/results/train/parabola/problem_7090.png
new file mode 100644
index 0000000000000000000000000000000000000000..2bcfd76c50ab28d8c4e1f065fb979f83590e1091
--- /dev/null
+++ b/results/train/parabola/problem_7090.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d0b169855ed434c86190275d72148c887d915fe6c9b02515d268acc68479053e
+size 195711
diff --git a/results/train/parabola/problem_7094.png b/results/train/parabola/problem_7094.png
new file mode 100644
index 0000000000000000000000000000000000000000..040f7cd91e0b5d1ceafe3fb82e8e76251d323a10
--- /dev/null
+++ b/results/train/parabola/problem_7094.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c00cf7f5a95789fb67bb26c827899cbe3de48a1cfc9b69d4d6109def58fba25
+size 189671
diff --git a/results/train/parabola/problem_7096.png b/results/train/parabola/problem_7096.png
new file mode 100644
index 0000000000000000000000000000000000000000..151aa6a52365855e4dd16a6b3306d88600e3b2ae
--- /dev/null
+++ b/results/train/parabola/problem_7096.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b5a5503005dad9c7548ce88c8a96ecd21b73d607f25bc72da7f67a6c8ad2d34
+size 187195
diff --git a/results/train/parabola/problem_7097.png b/results/train/parabola/problem_7097.png
new file mode 100644
index 0000000000000000000000000000000000000000..426f57ff5d42ecec694b847a3e6b47707c6b1528
--- /dev/null
+++ b/results/train/parabola/problem_7097.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:639ef31e567317fee40d3099322d094116be8af80fc525995727c5bf83a112c6
+size 188292
diff --git a/results/train/parabola/problem_7103.png b/results/train/parabola/problem_7103.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e85bd3f8229fb6cc8b506096ad8e31bcf5806d2
--- /dev/null
+++ b/results/train/parabola/problem_7103.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7733f5f5a108ccafaeb4e310274b7e9a533cc2168ae2d6eb55f1c8d414cf6210
+size 200015
diff --git a/results/train/parabola/problem_7109.png b/results/train/parabola/problem_7109.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0ef0188ba2479dd9efa66c290f054a1bf9ce244
--- /dev/null
+++ b/results/train/parabola/problem_7109.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:79e5499b468d80916a9a04c6cfcb0a57e0d96adec807135edfb64fdebc92437c
+size 194959
diff --git a/results/train/parabola/problem_7111.png b/results/train/parabola/problem_7111.png
new file mode 100644
index 0000000000000000000000000000000000000000..729e4d4d2a6937c8583b86e31c417b4e76a5403e
--- /dev/null
+++ b/results/train/parabola/problem_7111.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:373811683b1e373d138d83701afa5946da0357e695c7be13fa65e221db0c83cb
+size 190357
diff --git a/results/train/parabola/problem_7112.png b/results/train/parabola/problem_7112.png
new file mode 100644
index 0000000000000000000000000000000000000000..e303173e01ccc8e8febd859fa9406fe0a55cb956
--- /dev/null
+++ b/results/train/parabola/problem_7112.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8439a031658a9ad2a8093a9247fd8a66f0d63fc8cff53a4f05cf709ea9581637
+size 188921
diff --git a/results/train/parabola/problem_7115.png b/results/train/parabola/problem_7115.png
new file mode 100644
index 0000000000000000000000000000000000000000..4d19f67a3fed084cd61d5555774d7909e6d99f23
--- /dev/null
+++ b/results/train/parabola/problem_7115.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7aed3df6b9de8b9d4926316d5606f9248b8f355a83a24ce848936d19e1703aff
+size 193412
diff --git a/results/train/parabola/problem_7121.png b/results/train/parabola/problem_7121.png
new file mode 100644
index 0000000000000000000000000000000000000000..96fb11f735ea3de601e70391c6965126905a7754
--- /dev/null
+++ b/results/train/parabola/problem_7121.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:901316d51e10bd5e7e234bce26f7fa6d9ce51833546f4bf48b87af4482959be0
+size 168556
diff --git a/results/train/parabola/problem_7123.png b/results/train/parabola/problem_7123.png
new file mode 100644
index 0000000000000000000000000000000000000000..4f5e73283e7e3adbdbfb9dd7cb1ad2def0475dbd
--- /dev/null
+++ b/results/train/parabola/problem_7123.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fe1fa5fd357c51648aecf502c8461544736ff8827a49e459645c9638cbaa01c8
+size 155259
diff --git a/results/train/parabola/problem_7124.png b/results/train/parabola/problem_7124.png
new file mode 100644
index 0000000000000000000000000000000000000000..af44bb6b78b4e242ae673ecb474c1b38ebdcf823
--- /dev/null
+++ b/results/train/parabola/problem_7124.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7ea6574d3ffccbf37637cce9f8c7e4d31812565e0e0d4a5aa865370844d832c4
+size 183787
diff --git a/results/train/parabola/problem_7137.png b/results/train/parabola/problem_7137.png
new file mode 100644
index 0000000000000000000000000000000000000000..a4e3ba27c7d2cb9776401f74d4db1711915b1c0a
--- /dev/null
+++ b/results/train/parabola/problem_7137.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:efff6dcbf49b536adb1ef91fa50b965b93c58427d9b46e8794c9f227bae69b70
+size 188068
diff --git a/results/train/parabola/problem_7146.png b/results/train/parabola/problem_7146.png
new file mode 100644
index 0000000000000000000000000000000000000000..99b62671059f72b6592107efdf37382a7715d6bf
--- /dev/null
+++ b/results/train/parabola/problem_7146.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d6cca12bb88a75b0585aca19f739e88446a21e0f859e264e3704c044914110c6
+size 186190
diff --git a/results/train/parabola/problem_7148.png b/results/train/parabola/problem_7148.png
new file mode 100644
index 0000000000000000000000000000000000000000..dbd8c79165a7f0a8ea50eb70fb0976b683c65d58
--- /dev/null
+++ b/results/train/parabola/problem_7148.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee14fc0ff932264d1942f522c8429fb43f5edfbf612f6761a65f907e9f3818e6
+size 207321
diff --git a/results/train/parabola/problem_7155.png b/results/train/parabola/problem_7155.png
new file mode 100644
index 0000000000000000000000000000000000000000..883e90bc244dcbc0a81ba802b3fd94277e2166d2
--- /dev/null
+++ b/results/train/parabola/problem_7155.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f692543a63a1ae12de27108a9f6538f8a678168a6a21e3214d2d0a6f9503b51f
+size 196958
diff --git a/results/train/parabola/problem_7157.png b/results/train/parabola/problem_7157.png
new file mode 100644
index 0000000000000000000000000000000000000000..71a01f3f4ddf7b38269f221f3277ef298c86265a
--- /dev/null
+++ b/results/train/parabola/problem_7157.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38602d035f4e9300c5d64242c9cdef3557a62791178658c6ff886b279e51d2ca
+size 189769
diff --git a/results/train/parabola/problem_7160.png b/results/train/parabola/problem_7160.png
new file mode 100644
index 0000000000000000000000000000000000000000..d8da9a002ce3057f98cab9a2d1c6a299de642ce8
--- /dev/null
+++ b/results/train/parabola/problem_7160.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:de83603c4d4963bccd881ed7b1d9a658249b15767c58338f357156763c8000f8
+size 186959
diff --git a/results/train/parabola/problem_7164.png b/results/train/parabola/problem_7164.png
new file mode 100644
index 0000000000000000000000000000000000000000..54b8ae2aa1338553b0eddcad5ae9968880e6019b
--- /dev/null
+++ b/results/train/parabola/problem_7164.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7c86036b06c2485055c6cdd903d3fdd28e463f58ee5beeb8009c7964c55af900
+size 192044
diff --git a/results/train/parabola/problem_7168.png b/results/train/parabola/problem_7168.png
new file mode 100644
index 0000000000000000000000000000000000000000..00183bebe36e88298e12ab51df8c809e620060da
--- /dev/null
+++ b/results/train/parabola/problem_7168.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8f3eed829b937b5626a533662cf2eabdb49e772c8a66562af74b4149b6af1189
+size 179216
diff --git a/results/train/parabola/problem_7169.png b/results/train/parabola/problem_7169.png
new file mode 100644
index 0000000000000000000000000000000000000000..6e357a33a4ba94ebb97342462e7660a2f8d1d0a8
--- /dev/null
+++ b/results/train/parabola/problem_7169.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:13036ee7ec34990b1c06956c0b249e8814ff47fe55dc583acc39021e0f249e33
+size 201813
diff --git a/results/train/parabola/problem_7176.png b/results/train/parabola/problem_7176.png
new file mode 100644
index 0000000000000000000000000000000000000000..312ef986ddd4ecc07496b0b6b6b7ff493d45dea2
--- /dev/null
+++ b/results/train/parabola/problem_7176.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7302314cd77cda60fe78a065684ebefd2dcfd2e29344f8e9e48fc85deb61a860
+size 149614
diff --git a/results/train/parabola/problem_7182.png b/results/train/parabola/problem_7182.png
new file mode 100644
index 0000000000000000000000000000000000000000..c34f77640ff0c17995a8f029a61561b8fb66f02e
--- /dev/null
+++ b/results/train/parabola/problem_7182.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:867560f02e3fb663d0bab62f9b153672f0566dfdc257d6bf58e553cddf4690ca
+size 200718
diff --git a/results/train/parabola/problem_7183.png b/results/train/parabola/problem_7183.png
new file mode 100644
index 0000000000000000000000000000000000000000..351c4a32775222f41e33d8b6da2d7cbef08f3faf
--- /dev/null
+++ b/results/train/parabola/problem_7183.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be146f32d506b328b46f7d65a0f484257d58909144f07294fc9253d627328bb4
+size 196775
diff --git a/results/train/parabola/problem_7188.png b/results/train/parabola/problem_7188.png
new file mode 100644
index 0000000000000000000000000000000000000000..aefcb8e118da9cf274c73c5e43310f1788f3360e
--- /dev/null
+++ b/results/train/parabola/problem_7188.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18e8e2bbc8e9b7ab3912d24d217dc8b947ccea0fff21c02d7130d3033e30f453
+size 194434
diff --git a/results/train/parabola/problem_7194.png b/results/train/parabola/problem_7194.png
new file mode 100644
index 0000000000000000000000000000000000000000..c4462214f9e86f99d9f64d02fbc3cd14b7592581
--- /dev/null
+++ b/results/train/parabola/problem_7194.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1136e0ac0dd01121ae689001e599f3aa1f197a597310d6befa215b34c80934a9
+size 183164
diff --git a/results/train/parabola/problem_7195.png b/results/train/parabola/problem_7195.png
new file mode 100644
index 0000000000000000000000000000000000000000..978f94a3a134800a1aa946bdb4834ea978206b4d
--- /dev/null
+++ b/results/train/parabola/problem_7195.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2389c80e4c2fc797685a9a83858f1b63a52b9ede0b5e5452b7972af73aa9eba2
+size 192016
diff --git a/results/train/parabola/problem_7199.png b/results/train/parabola/problem_7199.png
new file mode 100644
index 0000000000000000000000000000000000000000..b614342ee782c88c0e88b1e6f8c4e89849ef02ee
--- /dev/null
+++ b/results/train/parabola/problem_7199.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:408924ab85ef2a4910c0d2761c51a5454a7cea737fcc4d6be3a8062c97a672dd
+size 185145
diff --git a/results/train/parabola/problem_7202.png b/results/train/parabola/problem_7202.png
new file mode 100644
index 0000000000000000000000000000000000000000..9289feac1ddff5caf6f238281efabde620ff9eb8
--- /dev/null
+++ b/results/train/parabola/problem_7202.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:68b019c32d6cae1bd434c810f75ef255e724644e66d877a06e6d5ded0fa276a1
+size 200944
diff --git a/results/train/parabola/problem_7207.png b/results/train/parabola/problem_7207.png
new file mode 100644
index 0000000000000000000000000000000000000000..f2c45b6216287baa8f9aebfde3df7bd6b5eeb59c
--- /dev/null
+++ b/results/train/parabola/problem_7207.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ee9a53f03f855699c3ca8f248aba4e700a014d8fbe742e15fe47a21a0aa97534
+size 195710
diff --git a/results/train/parabola/problem_7209.png b/results/train/parabola/problem_7209.png
new file mode 100644
index 0000000000000000000000000000000000000000..9088a4befdf6738a1625c8a805601a3cb9c45be9
--- /dev/null
+++ b/results/train/parabola/problem_7209.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e9a4a4ec339ac8b6ba03e6abe5dd21f721f8003b390b7acdb521d14dfe9dc66
+size 201219
diff --git a/results/train/parabola/problem_7218.png b/results/train/parabola/problem_7218.png
new file mode 100644
index 0000000000000000000000000000000000000000..1438207ab7c51b99c16a94b707227f55e44f77f5
--- /dev/null
+++ b/results/train/parabola/problem_7218.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f5af76a4e46e85d7f3665129f4280e7f513956ff1e5248698d0fe5adf23b3b0a
+size 193732
diff --git a/results/train/parabola/problem_7229.png b/results/train/parabola/problem_7229.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e27007433e1eadd3dc5dcff347828c85cbd497f
--- /dev/null
+++ b/results/train/parabola/problem_7229.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d05548bf573cb942b050f82df429352e16dd11086c470dafac7cace15a8c2e8e
+size 197108
diff --git a/results/train/parabola/problem_7244.png b/results/train/parabola/problem_7244.png
new file mode 100644
index 0000000000000000000000000000000000000000..499fc6e0df24bc82303d3170a1fb3fb333697427
--- /dev/null
+++ b/results/train/parabola/problem_7244.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0db0d76d4e4cbb82e15b33adcc7998cbb7e1ee37de68e9581f640afb1acd16d4
+size 186059
diff --git a/results/train/parabola/problem_7249.png b/results/train/parabola/problem_7249.png
new file mode 100644
index 0000000000000000000000000000000000000000..ac3387c3ec625f24a503ee70bcbbbede14a42b29
--- /dev/null
+++ b/results/train/parabola/problem_7249.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3003b6997e2ba67c61ea52ab483d98ac925f60ad245107d12a278a117f5e0cff
+size 188624
diff --git a/results/train/parabola/problem_7251.png b/results/train/parabola/problem_7251.png
new file mode 100644
index 0000000000000000000000000000000000000000..53147a97d7cd277aca10a9183bfd90a88c0d756c
--- /dev/null
+++ b/results/train/parabola/problem_7251.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3590a1e51df4fe2208fb4b52e514f085bf0d59d619ad401668a6d1e70956937a
+size 179568
diff --git a/results/train/parabola/problem_7254.png b/results/train/parabola/problem_7254.png
new file mode 100644
index 0000000000000000000000000000000000000000..2f434cdb95a97da1daa31cefa4fc6de23f8ca4e6
--- /dev/null
+++ b/results/train/parabola/problem_7254.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e3eddfa1166df88482605f07d64244b96cae3f7c60bb7f73f21788b897b2d7a
+size 193396
diff --git a/results/train/parabola/problem_7256.png b/results/train/parabola/problem_7256.png
new file mode 100644
index 0000000000000000000000000000000000000000..0712ca0cc4801be07453e5d8b456a0838c0e3c76
--- /dev/null
+++ b/results/train/parabola/problem_7256.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e5a6f3ec270b0ccbfd3dbcca9ecd21ad7bb2af5fb6df0c1e66dc7865fc9b7754
+size 198719
diff --git a/results/train/parabola/problem_7259.png b/results/train/parabola/problem_7259.png
new file mode 100644
index 0000000000000000000000000000000000000000..f64502ea3b544b075fe74404d5f301d1c28d733c
--- /dev/null
+++ b/results/train/parabola/problem_7259.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fa1144c1bb6262a04770ea9e4de9c43bec24f1f6b892fc34c362dfa7587f41cd
+size 188160
diff --git a/results/train/parabola/problem_7260.png b/results/train/parabola/problem_7260.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ff2472451141ab2ffb9bbfdda0a9ba9f5459aec
--- /dev/null
+++ b/results/train/parabola/problem_7260.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2177633b3b28c02decebebccddabd390a223e61f4d86f82fdfffe44a74dcbf93
+size 176713
diff --git a/results/train/parabola/problem_7266.png b/results/train/parabola/problem_7266.png
new file mode 100644
index 0000000000000000000000000000000000000000..83049717f6e769308d086ee5409b506c882c31a7
--- /dev/null
+++ b/results/train/parabola/problem_7266.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8a93c7428737065a9ad9ba9a226410ea2b7a5bd7f8dcf8f8eaa131914ef17310
+size 185141
diff --git a/results/train/parabola/problem_7272.png b/results/train/parabola/problem_7272.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7324f825c98e345ca6296fb5f0cb41d56b834a3
--- /dev/null
+++ b/results/train/parabola/problem_7272.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:da462d73adebc21beef141d6c06bf35b769bf1129bf535294a6d5412a4ba43c1
+size 190633
diff --git a/results/train/parabola/problem_7295.png b/results/train/parabola/problem_7295.png
new file mode 100644
index 0000000000000000000000000000000000000000..568a2067c9b6fb46282a5e5bb02031a6316fee5f
--- /dev/null
+++ b/results/train/parabola/problem_7295.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a6604510f44c3bbc4971f8fe6b456232947ca0e3bab5d240289666533ff8ef9
+size 191592
diff --git a/results/train/parabola/problem_7306.png b/results/train/parabola/problem_7306.png
new file mode 100644
index 0000000000000000000000000000000000000000..199e0d451af6f06cdf654fe234d2bf39c8be7c9f
--- /dev/null
+++ b/results/train/parabola/problem_7306.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb059373e62952e14b6a808d14922d9418b5c5f6ae44d94dcf8acabe9547f7a3
+size 191764
diff --git a/results/train/parabola/problem_7307.png b/results/train/parabola/problem_7307.png
new file mode 100644
index 0000000000000000000000000000000000000000..b6b855dedf9834455044f04c75c67c37b0981b03
--- /dev/null
+++ b/results/train/parabola/problem_7307.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c3c5f160eb17a325ef497a37fa1aaaed5f4c90fc7f2d28590f0b9eb7f6fd763
+size 189746
diff --git a/results/train/parabola/problem_7310.png b/results/train/parabola/problem_7310.png
new file mode 100644
index 0000000000000000000000000000000000000000..3be61a68b6d42d23c547f8383c286e05d7de1824
--- /dev/null
+++ b/results/train/parabola/problem_7310.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0969194dc9733b6c6422706ec5123557594f7add6a256a4d0f2f76610593babb
+size 183824
diff --git a/results/train/parabola/problem_7311.png b/results/train/parabola/problem_7311.png
new file mode 100644
index 0000000000000000000000000000000000000000..84fe4b0fe199d4e283e9d7c8ddd949ac0db3cf16
--- /dev/null
+++ b/results/train/parabola/problem_7311.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:97a7972ffb7e2407dc6faad1624317c9661d62d478618b2f5e8ddb99083563f4
+size 202460
diff --git a/results/train/parabola/problem_7313.png b/results/train/parabola/problem_7313.png
new file mode 100644
index 0000000000000000000000000000000000000000..39282fe2e1a3f54b8b3ed6e0fde3b6062ce354ae
--- /dev/null
+++ b/results/train/parabola/problem_7313.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8dde812ac21ae99afc3bd4a06b2f7faed3b511fc5b0a4f2233fb608ecd86707
+size 190016
diff --git a/results/train/parabola/problem_7318.png b/results/train/parabola/problem_7318.png
new file mode 100644
index 0000000000000000000000000000000000000000..088c5aaf60d1a793b5fabcfaa263443543c275b6
--- /dev/null
+++ b/results/train/parabola/problem_7318.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d4503b24cfd04f3191cd49480b14fa0d5d0869b3d314930c518e0d4abc04a4d8
+size 184948
diff --git a/results/train/parabola/problem_7320.png b/results/train/parabola/problem_7320.png
new file mode 100644
index 0000000000000000000000000000000000000000..c00596d8ceeb12f471adff49884d286fbccde0b1
--- /dev/null
+++ b/results/train/parabola/problem_7320.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4c2588776a470db341325acb1cea5726a75c8e326695f3ef9fd8557d21e91baa
+size 188493
diff --git a/results/train/parabola/problem_7322.png b/results/train/parabola/problem_7322.png
new file mode 100644
index 0000000000000000000000000000000000000000..b576ce7557a87f5ad914564f988e5f991baa806e
--- /dev/null
+++ b/results/train/parabola/problem_7322.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:512b669789044e09032dc77d8c2df4a0d843adf46e689958b476ebdb16b41b9f
+size 191388
diff --git a/results/train/parabola/problem_7323.png b/results/train/parabola/problem_7323.png
new file mode 100644
index 0000000000000000000000000000000000000000..da87d90b8da466cb95e74bf5130563b1fef4b8a6
--- /dev/null
+++ b/results/train/parabola/problem_7323.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0d493b5215c9394a31900ca28edc5cd8d61e81f6dc9df0fa25dcc0f0d81f1e4a
+size 209709
diff --git a/results/train/parabola/problem_7326.png b/results/train/parabola/problem_7326.png
new file mode 100644
index 0000000000000000000000000000000000000000..c0b516f33e0a76303e9a538b9e26f2304ba06092
--- /dev/null
+++ b/results/train/parabola/problem_7326.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:15c332aac52eeb4e2b07559d19b05f92aac2c01ae9d8f54938f65da8306e8151
+size 186614
diff --git a/results/train/parabola/problem_7327.png b/results/train/parabola/problem_7327.png
new file mode 100644
index 0000000000000000000000000000000000000000..84c9cbe831ceb720c47df11f0904a68967460a4f
--- /dev/null
+++ b/results/train/parabola/problem_7327.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e7ffafd81b0fa47760d7b7fcd5da74ee51c332f7d94d1033dae35e7d8b269845
+size 163974
diff --git a/results/train/parabola/problem_7329.png b/results/train/parabola/problem_7329.png
new file mode 100644
index 0000000000000000000000000000000000000000..9fd84620bca58f74abd277a2f20f3fd9737e4019
--- /dev/null
+++ b/results/train/parabola/problem_7329.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5776a15851df981837c3120588e9d19b554d36d4d73bf05587dcf642a576204
+size 202923
diff --git a/results/train/parabola/problem_7345.png b/results/train/parabola/problem_7345.png
new file mode 100644
index 0000000000000000000000000000000000000000..a1b11afbf46e3bf132517886794064ab9a6f7c27
--- /dev/null
+++ b/results/train/parabola/problem_7345.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:436e715b2fcde6e6e5ce484d4a331b91c329ee015fbd1bd36824616f3529c0bc
+size 202542
diff --git a/results/train/parabola/problem_7347.png b/results/train/parabola/problem_7347.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb542bf1947f6a268642ebed0394d8ea914ad2bd
--- /dev/null
+++ b/results/train/parabola/problem_7347.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:07d1f12b943232dfbc612c56ae56f8f9f7590478d1c588579ca1c3016958189e
+size 201311
diff --git a/results/train/parabola/problem_7351.png b/results/train/parabola/problem_7351.png
new file mode 100644
index 0000000000000000000000000000000000000000..4fc97a1dec5ef44d7453be9a15f55be6f2760075
--- /dev/null
+++ b/results/train/parabola/problem_7351.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3e3f81f3bb7f579b2deaa3361a841d7f181dea235c4be7f09beb3d205e4b0d19
+size 190471
diff --git a/results/train/parabola/problem_7352.png b/results/train/parabola/problem_7352.png
new file mode 100644
index 0000000000000000000000000000000000000000..d57fa2335c487a7058f8a620a066b11f3645c90b
--- /dev/null
+++ b/results/train/parabola/problem_7352.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:fb590fd8bc69a2f2f3ca49449732d79e8bb01e6b77bb5b096cf7d617cd3b8aa4
+size 193242
diff --git a/results/train/parabola/problem_7359.png b/results/train/parabola/problem_7359.png
new file mode 100644
index 0000000000000000000000000000000000000000..60beb564ca3d84dd4dbff209e8bcb9685e47a83f
--- /dev/null
+++ b/results/train/parabola/problem_7359.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c5e98b237f32212ac37ffb1699128154831825c367833c4e250b62de49f5a646
+size 189402
diff --git a/results/train/parabola/problem_7362.png b/results/train/parabola/problem_7362.png
new file mode 100644
index 0000000000000000000000000000000000000000..71f499b5f8ac34fce90fe7aec0207d5fcabfc3ab
--- /dev/null
+++ b/results/train/parabola/problem_7362.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab14cb93cd43209c4f0641a9e8dd13c563fe69837d27a01857ba3cd86d6d80bb
+size 183460
diff --git a/results/train/parabola/problem_7363.png b/results/train/parabola/problem_7363.png
new file mode 100644
index 0000000000000000000000000000000000000000..2793c571155cba25faafd07038c73a57b76f241a
--- /dev/null
+++ b/results/train/parabola/problem_7363.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:18f6b45fc2a607b5948f979362531a1565b8aa98b4c54411310adcb15feeec5d
+size 182866
diff --git a/results/train/parabola/problem_7364.png b/results/train/parabola/problem_7364.png
new file mode 100644
index 0000000000000000000000000000000000000000..8569e1222a3cbb8aaf3e333fef75543626029820
--- /dev/null
+++ b/results/train/parabola/problem_7364.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ab2c4638d45b579a604ae83a86a8d7b91d4566c4a439613c0e0a7b27f9545b4f
+size 201348
diff --git a/results/train/parabola/problem_7367.png b/results/train/parabola/problem_7367.png
new file mode 100644
index 0000000000000000000000000000000000000000..753ac1faa0c16f2f3231fc87624710a8c549cf37
--- /dev/null
+++ b/results/train/parabola/problem_7367.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e05c4c18f44ff36141409b1d19d1a39a8a1d6d684e8fc2fab8d1596079d5c611
+size 186446
diff --git a/results/train/parabola/problem_7368.png b/results/train/parabola/problem_7368.png
new file mode 100644
index 0000000000000000000000000000000000000000..2b43e09db9ac30281eda788601cb0855d67570d1
--- /dev/null
+++ b/results/train/parabola/problem_7368.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:76b73e32804117e3a59cc27b29a5d84cf0787ed5ef9cb90baa072fb84a5774b3
+size 192059
diff --git a/results/train/parabola/problem_7373.png b/results/train/parabola/problem_7373.png
new file mode 100644
index 0000000000000000000000000000000000000000..18f5cabda38836d1eaa4cb2a8d7ee353ee158b0b
--- /dev/null
+++ b/results/train/parabola/problem_7373.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:532b649a31960262b9b7df14bd93ca50b93d8ee6974f1a3568500ac88d222833
+size 177377
diff --git a/results/train/parabola/problem_7381.png b/results/train/parabola/problem_7381.png
new file mode 100644
index 0000000000000000000000000000000000000000..042900c61546f1e6d2da766094aff5113ee575a8
--- /dev/null
+++ b/results/train/parabola/problem_7381.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7f7effff2a816332dc069c77890539fa7ecb6d7a89cc1baaf98e2f67a7f9f666
+size 184843
diff --git a/results/train/parabola/problem_7391.png b/results/train/parabola/problem_7391.png
new file mode 100644
index 0000000000000000000000000000000000000000..415fac05708c18070c3dec7d240998cc8b343b5c
--- /dev/null
+++ b/results/train/parabola/problem_7391.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7cf505cc48a1efc196fed61b26df0d4ef40d5b7f65d38b6b9b4c68875b6818ae
+size 199105
diff --git a/results/train/parabola/problem_7397.png b/results/train/parabola/problem_7397.png
new file mode 100644
index 0000000000000000000000000000000000000000..4a3403d884fec2c3deb2e3a49879a6b913624c41
--- /dev/null
+++ b/results/train/parabola/problem_7397.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ac59e3ade239ba5a45078bdb943931b798d0a0c931827dab2edde1d917e6019
+size 191350
diff --git a/results/train/parabola/problem_7398.png b/results/train/parabola/problem_7398.png
new file mode 100644
index 0000000000000000000000000000000000000000..1985a960caf2f91231b8130d0a97b1f4981ecb8a
--- /dev/null
+++ b/results/train/parabola/problem_7398.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6212e5d02f18b2f84640a7d63019212fea0704ff2e63192dfd4435ce471f88a3
+size 191439
diff --git a/results/train/parabola/problem_7403.png b/results/train/parabola/problem_7403.png
new file mode 100644
index 0000000000000000000000000000000000000000..04cf42d132563868c95b5b082e9ded2a5902fb81
--- /dev/null
+++ b/results/train/parabola/problem_7403.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:86fabf9ecf4e3a9f5f6d5024820147a3d1ffc7c081609b6d7725f1063539020c
+size 186112
diff --git a/results/train/parabola/problem_7405.png b/results/train/parabola/problem_7405.png
new file mode 100644
index 0000000000000000000000000000000000000000..e88cd70cf2a1b3e739d0432b0527943e91577bc2
--- /dev/null
+++ b/results/train/parabola/problem_7405.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72dc5e52ee5f4ddedcb7561a550fe98d1f96f568e194d66744aca56b7199f061
+size 185644
diff --git a/results/train/parabola/problem_7407.png b/results/train/parabola/problem_7407.png
new file mode 100644
index 0000000000000000000000000000000000000000..be367241b6517a04840d074ec1b2fe26ce55f245
--- /dev/null
+++ b/results/train/parabola/problem_7407.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:88ecc3f5a3ac9cfb668d4a73bf926e82388d1916b9ff827eb92b7ab359722e8b
+size 160058
diff --git a/results/train/parabola/problem_7410.png b/results/train/parabola/problem_7410.png
new file mode 100644
index 0000000000000000000000000000000000000000..0701f598963bdbee7a49a721c8da98f249ced8b1
--- /dev/null
+++ b/results/train/parabola/problem_7410.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:36d5ea4cbc7d1e0e5fe87e7781d2f5d6a481ab163509ceae35cde73a2515ee46
+size 173086
diff --git a/results/train/parabola/problem_7420.png b/results/train/parabola/problem_7420.png
new file mode 100644
index 0000000000000000000000000000000000000000..e68972db4249484184e51812c0eaf944e5a8e92b
--- /dev/null
+++ b/results/train/parabola/problem_7420.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:21b985dd26e2ca87af0154d4ac30583b3b0c218bf1c33e5bf5d65af20d014c3d
+size 193721
diff --git a/results/train/parabola/problem_7423.png b/results/train/parabola/problem_7423.png
new file mode 100644
index 0000000000000000000000000000000000000000..b96bb3c812526373a1b440036ce3db45a57ce189
--- /dev/null
+++ b/results/train/parabola/problem_7423.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b54d0ad0c5fb6151507edb0816d975d641180e562f782c854909e1892ad16d9
+size 189322
diff --git a/results/train/parabola/problem_7427.png b/results/train/parabola/problem_7427.png
new file mode 100644
index 0000000000000000000000000000000000000000..554d767e3d09131407e70086b9718808e3583a69
--- /dev/null
+++ b/results/train/parabola/problem_7427.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a6b85e4a3d13caa64b977f866cd22f1f266b1a0a751ab0314abbe8502d245c83
+size 190789
diff --git a/results/train/parabola/problem_7432.png b/results/train/parabola/problem_7432.png
new file mode 100644
index 0000000000000000000000000000000000000000..fe0ea71f9e7cdf9a8acbb8bbfcabab795f187f61
--- /dev/null
+++ b/results/train/parabola/problem_7432.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5c05edbb5617fc170f5a199f73b2dd5cbb9110ade84f84be14b1d96a512900f8
+size 191568
diff --git a/results/train/parabola/problem_7434.png b/results/train/parabola/problem_7434.png
new file mode 100644
index 0000000000000000000000000000000000000000..a56a6e7ad1ffd0c30314c8fc44cdf53379778619
--- /dev/null
+++ b/results/train/parabola/problem_7434.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8e29d26e624c67dacba5ae5787c0c3fdb4c3564cb8bdf80f18fbc8dd16e91a1d
+size 192953
diff --git a/results/train/parabola/problem_7436.png b/results/train/parabola/problem_7436.png
new file mode 100644
index 0000000000000000000000000000000000000000..e64352e925b778f3f7d816bcd20cfa33d9fa18e8
--- /dev/null
+++ b/results/train/parabola/problem_7436.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ba45c7a96dd58c40795c01b71bc577b69a5a757798223e09e8b2292b8368fca8
+size 188107
diff --git a/results/train/parabola/problem_7440.png b/results/train/parabola/problem_7440.png
new file mode 100644
index 0000000000000000000000000000000000000000..48719f1669bce48164d04f81e91be6697d17c5a5
--- /dev/null
+++ b/results/train/parabola/problem_7440.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c047f90f703b090659b9f6b71994bd5bd2990afc73badc74a4d732fa5d87205b
+size 186416
diff --git a/results/train/parabola/problem_7445.png b/results/train/parabola/problem_7445.png
new file mode 100644
index 0000000000000000000000000000000000000000..a9ef62f3d917d1a866d7e6fc440d60b1c022d966
--- /dev/null
+++ b/results/train/parabola/problem_7445.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:80f24c197fb14624fc10ac7f3a852d88bec10b987e7548b08095c67df4839fb0
+size 181374
diff --git a/results/train/parabola/problem_7447.png b/results/train/parabola/problem_7447.png
new file mode 100644
index 0000000000000000000000000000000000000000..c2d6ecb5d576b6c2d928ab4cdfee527aa152049b
--- /dev/null
+++ b/results/train/parabola/problem_7447.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5061b73ee2b4b8381ddbc2a4be8183de77cf953bc57f827e374957ff865352c7
+size 189472
diff --git a/results/train/parabola/problem_7453.png b/results/train/parabola/problem_7453.png
new file mode 100644
index 0000000000000000000000000000000000000000..adf29ae5f0c5a7949ce8938f6e14b32ee6d9a507
--- /dev/null
+++ b/results/train/parabola/problem_7453.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a966f6767cb18fe6702a416ae40fdae8e6899443922acefa9e31752cd72db0a7
+size 182044
diff --git a/results/train/parabola/problem_7454.png b/results/train/parabola/problem_7454.png
new file mode 100644
index 0000000000000000000000000000000000000000..e68d695b754b06be505369291c6fd035754ae19c
--- /dev/null
+++ b/results/train/parabola/problem_7454.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b64c6e1b9897e2a9d2228ce4957749892a3ebe222854befd13f95e7d906f605e
+size 186232
diff --git a/results/train/parabola/problem_7455.png b/results/train/parabola/problem_7455.png
new file mode 100644
index 0000000000000000000000000000000000000000..102c6acf7315995209cc5b6ac364e48febe4035e
--- /dev/null
+++ b/results/train/parabola/problem_7455.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0a32d28bb531e8e3f502e377a40b0b03f3e89d7765a6f4d7690bfeb4ee35e4a7
+size 188133
diff --git a/results/train/parabola/problem_7460.png b/results/train/parabola/problem_7460.png
new file mode 100644
index 0000000000000000000000000000000000000000..a5f0cfbbf1fbbab40eb9f586462f873d1f503d6b
--- /dev/null
+++ b/results/train/parabola/problem_7460.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bee8e613790bb6a346905db3584f1a4f7951e44b901539da3933d0149b333854
+size 153500
diff --git a/results/train/parabola/problem_7464.png b/results/train/parabola/problem_7464.png
new file mode 100644
index 0000000000000000000000000000000000000000..d41a0eb49f3c96d120e4c4df7f53352a34221c3c
--- /dev/null
+++ b/results/train/parabola/problem_7464.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8be6dfd1e9811814e5279739d8c92984646497b5f143f8d415f1695ada3507c1
+size 182813
diff --git a/results/train/parabola/problem_7467.png b/results/train/parabola/problem_7467.png
new file mode 100644
index 0000000000000000000000000000000000000000..3be9ad6f914769b3c82c0a44cadf3995d50afd4b
--- /dev/null
+++ b/results/train/parabola/problem_7467.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f853c8eb2bb91286cc66193cc2dfd8c43b1d2221babe8576f2ab2232285b8f59
+size 179085
diff --git a/results/train/parabola/problem_7469.png b/results/train/parabola/problem_7469.png
new file mode 100644
index 0000000000000000000000000000000000000000..899de18350e942e42be83f34d878eaf91dedd6ef
--- /dev/null
+++ b/results/train/parabola/problem_7469.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:46b248a43ca22d082345da0d4b97e78f8c7bb219d5a8bef15452abe6b02050c8
+size 185557
diff --git a/results/train/parabola/problem_7473.png b/results/train/parabola/problem_7473.png
new file mode 100644
index 0000000000000000000000000000000000000000..43741c10cb02a823494af91b41610a5c9b0fa1b9
--- /dev/null
+++ b/results/train/parabola/problem_7473.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9e9a77d0af1bf528a41afbc205b40a47fed3a78d373ad70417639740987f8d20
+size 200028
diff --git a/results/train/parabola/problem_7476.png b/results/train/parabola/problem_7476.png
new file mode 100644
index 0000000000000000000000000000000000000000..bec479bba96d54976210555be9c1f12c7f450f93
--- /dev/null
+++ b/results/train/parabola/problem_7476.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5f208ee587e2bb091b044388d35ba8b2b1a2d75b882223be8f39cdd151fb9352
+size 188018
diff --git a/results/train/parabola/problem_7478.png b/results/train/parabola/problem_7478.png
new file mode 100644
index 0000000000000000000000000000000000000000..37c24e79ad42d09fc7c91c5284b4ae80161e9442
--- /dev/null
+++ b/results/train/parabola/problem_7478.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:06ea39736a3c944764d0e575b136b54e20abd0e11265b58fb80d9377e44ad8b4
+size 198071
diff --git a/results/train/parabola/problem_7479.png b/results/train/parabola/problem_7479.png
new file mode 100644
index 0000000000000000000000000000000000000000..e4426626db2ae67ec8a89311c474a84341994264
--- /dev/null
+++ b/results/train/parabola/problem_7479.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:47bf6c94ac826199b22935209385c7172ba2e0b57332c609b5e7935ee763d049
+size 187510
diff --git a/results/train/parabola/problem_7481.png b/results/train/parabola/problem_7481.png
new file mode 100644
index 0000000000000000000000000000000000000000..10acc50db03243aaf91997d3b69fbdbcd392bfc5
--- /dev/null
+++ b/results/train/parabola/problem_7481.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:aea2e0871e387f28f7383ec302c476b65bc24336f6b48f3792018da1f5045ac6
+size 184753
diff --git a/results/train/parabola/problem_7485.png b/results/train/parabola/problem_7485.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bf515627aa852bdcdca816d2a2ccd1b99df60e1
--- /dev/null
+++ b/results/train/parabola/problem_7485.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:dab5246ccb0592d3436c6c43641efcead237eb8938467b89c9e90f2c7f95237e
+size 185930
diff --git a/results/train/parabola/problem_7491.png b/results/train/parabola/problem_7491.png
new file mode 100644
index 0000000000000000000000000000000000000000..60df408be64bf6d3bcd47dd43b63c459c61e59f7
--- /dev/null
+++ b/results/train/parabola/problem_7491.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3064fad397411eaa8b264d0ec199018da480d98c2bedd819ef12d931334dc199
+size 190470
diff --git a/results/train/parabola/problem_7495.png b/results/train/parabola/problem_7495.png
new file mode 100644
index 0000000000000000000000000000000000000000..1f0983c168f354d521cc87ee9d43251637b5e720
--- /dev/null
+++ b/results/train/parabola/problem_7495.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e6adfaf896a71b8467acc630f3b860da5e6b3ae52f35cdfdd49202d416517c5a
+size 188193
diff --git a/results/train/parabola/problem_7498.png b/results/train/parabola/problem_7498.png
new file mode 100644
index 0000000000000000000000000000000000000000..9efb5f399286d1c1aa2ecc2dfcafffb466951e91
--- /dev/null
+++ b/results/train/parabola/problem_7498.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9ce6a3818104e3a5623462b15849aba42d2b6162ed41f74b3297629894a09b4a
+size 209297
diff --git a/results/train/parabola/problem_7499.png b/results/train/parabola/problem_7499.png
new file mode 100644
index 0000000000000000000000000000000000000000..91469a670ea151c6fdabe88df77d18e81361ef22
--- /dev/null
+++ b/results/train/parabola/problem_7499.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9a2b8ca928fef738655e3bbcab96d4b930a4756662a5e99f3461acf443b7c653
+size 186264
diff --git a/results/train/parabola/problem_7500.png b/results/train/parabola/problem_7500.png
new file mode 100644
index 0000000000000000000000000000000000000000..59ba6fef5f7118432bf8b286e6daedb820df96dc
--- /dev/null
+++ b/results/train/parabola/problem_7500.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e891eb385487fc4d5b2f6a704d2bd543e02d2d00cb206e01866e01175dd9921f
+size 190010
diff --git a/results/train/parabola/problem_7502.png b/results/train/parabola/problem_7502.png
new file mode 100644
index 0000000000000000000000000000000000000000..a86699720a5b8064bb95fc49a10610cb35b62bdc
--- /dev/null
+++ b/results/train/parabola/problem_7502.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:bdb1e298f4f33a6b3ef7eb20d13ba979716a19f93ced6cd5879b8812165c7964
+size 193289
diff --git a/results/train/parabola/problem_7504.png b/results/train/parabola/problem_7504.png
new file mode 100644
index 0000000000000000000000000000000000000000..dfaaf9c602fa831558f10073b29fe99aac82c2d0
--- /dev/null
+++ b/results/train/parabola/problem_7504.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:26b72a42fad613fb721f704322b53929ba20b5adffe9f968d73000396d5d9b91
+size 191541
diff --git a/results/train/parabola/problem_7515.png b/results/train/parabola/problem_7515.png
new file mode 100644
index 0000000000000000000000000000000000000000..278946e8eb85fe6b2d4afa57b3fd9e2eab186b91
--- /dev/null
+++ b/results/train/parabola/problem_7515.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2c4dec9ded65c1dc6d925340b8518e8955287187b188ca1163c374c2558b82d7
+size 193668
diff --git a/results/train/parabola/problem_7517.png b/results/train/parabola/problem_7517.png
new file mode 100644
index 0000000000000000000000000000000000000000..f4586234c9af0b3647cc0afbe133c59f1ae22555
--- /dev/null
+++ b/results/train/parabola/problem_7517.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d5761f31e03af8325fc54ba4dd2453b034c06d6f73d2449698d09985ea872e80
+size 185308
diff --git a/results/train/parabola/problem_7522.png b/results/train/parabola/problem_7522.png
new file mode 100644
index 0000000000000000000000000000000000000000..f32173a16fcb5615e6073fdb0288d2b49e14e2e9
--- /dev/null
+++ b/results/train/parabola/problem_7522.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:25866056043ab25e189589236fb6eb76ddeabb097d30e46f397a8103cfcf70b4
+size 189245
diff --git a/results/train/parabola/problem_7523.png b/results/train/parabola/problem_7523.png
new file mode 100644
index 0000000000000000000000000000000000000000..348f84606243ea992ee794db84f85d176f6d6de2
--- /dev/null
+++ b/results/train/parabola/problem_7523.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f338be640ba75edd075d55c0d4891838804761ec3dd15ab62e199195e8bdee1f
+size 192869
diff --git a/results/train/parabola/problem_7530.png b/results/train/parabola/problem_7530.png
new file mode 100644
index 0000000000000000000000000000000000000000..0c5f01d30e6257daea8b6378bf175be3c991276c
--- /dev/null
+++ b/results/train/parabola/problem_7530.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:be32950766b0d2178859b85bda0c16e8f5619715f9399311dedb269e5fbdea52
+size 189302
diff --git a/results/train/parabola/problem_7531.png b/results/train/parabola/problem_7531.png
new file mode 100644
index 0000000000000000000000000000000000000000..840f3fadfd227c56a766ae808d53fc7f3a2df10c
--- /dev/null
+++ b/results/train/parabola/problem_7531.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:27810db1e18391d4a5bc8698a5886d1daf9627ed93b0620cda4f8e98b7d9686d
+size 189770
diff --git a/results/train/parabola/problem_7537.png b/results/train/parabola/problem_7537.png
new file mode 100644
index 0000000000000000000000000000000000000000..521e7a960d7db6aff4c3ca280fec1cf8893bfeb7
--- /dev/null
+++ b/results/train/parabola/problem_7537.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1ef022d26ecebb7e1b645de2f08c64b68bcb1693c61f5638117e09dd3bc0c597
+size 203053
diff --git a/results/train/parabola/problem_7542.png b/results/train/parabola/problem_7542.png
new file mode 100644
index 0000000000000000000000000000000000000000..8d74ae70b89c77adc4a9ae44d12230b0c2d35784
--- /dev/null
+++ b/results/train/parabola/problem_7542.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:72f2c9713c3c6af51f2410ae5e124cb690b9a9800f28805adbd352d10d37d0f4
+size 179113
diff --git a/results/train/parabola/problem_7549.png b/results/train/parabola/problem_7549.png
new file mode 100644
index 0000000000000000000000000000000000000000..78d4b270fab3294ffdf6e40ed27574238e62d371
--- /dev/null
+++ b/results/train/parabola/problem_7549.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a15777875fc890359b2a0e90a403bee31213db1aad190877f8a819e046ea2896
+size 188168
diff --git a/results/train/parabola/problem_7560.png b/results/train/parabola/problem_7560.png
new file mode 100644
index 0000000000000000000000000000000000000000..a290c6ea901bb71896dc3a273f4e53fe304321e8
--- /dev/null
+++ b/results/train/parabola/problem_7560.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1290f74e384b2620bd866a6e8f0fc6a0a996778ca76388d71e729a0bd771b30f
+size 183792
diff --git a/results/train/parabola/problem_7566.png b/results/train/parabola/problem_7566.png
new file mode 100644
index 0000000000000000000000000000000000000000..b7e800426f3998a0f8fdd64f544ea598cbc1bd3c
--- /dev/null
+++ b/results/train/parabola/problem_7566.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5925bd570f4f24a386891fa87a19c7b65431eb57ef24030fff196ee9f5ac2be5
+size 188499
diff --git a/results/train/parabola/problem_7570.png b/results/train/parabola/problem_7570.png
new file mode 100644
index 0000000000000000000000000000000000000000..a371b7979f6ec5e33b9c92f43368b86d8717cf1e
--- /dev/null
+++ b/results/train/parabola/problem_7570.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1e06dd1df7c45cf5f77847c897fae52d65f8bb77184bf72d3b8f3ddf9b90a515
+size 197739
diff --git a/results/train/parabola/problem_7574.png b/results/train/parabola/problem_7574.png
new file mode 100644
index 0000000000000000000000000000000000000000..ea5598f2b1d3782e84adfd790a5d092eae220b41
--- /dev/null
+++ b/results/train/parabola/problem_7574.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a9e34c048825d93099a69685953d1bad46dfa2cb6283723c12701bdaa1889bc6
+size 202765
diff --git a/results/train/parabola/problem_7583.png b/results/train/parabola/problem_7583.png
new file mode 100644
index 0000000000000000000000000000000000000000..067e5f359091dc0d38bc15693dc05427cc1232f1
--- /dev/null
+++ b/results/train/parabola/problem_7583.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:602822bea222673c82a749b50d25e0a2fdcd4d0e3d9f6974022b9cfebc4d33fe
+size 194245
diff --git a/results/train/parabola/problem_7584.png b/results/train/parabola/problem_7584.png
new file mode 100644
index 0000000000000000000000000000000000000000..286d745350d1b99b020d3f1338c77d4c1dfe3ce8
--- /dev/null
+++ b/results/train/parabola/problem_7584.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e9b8ddcb2f5cba62fc315dfa8a76901118fb6244be15717399614cd28b6cf97b
+size 186844
diff --git a/results/train/parabola/problem_7588.png b/results/train/parabola/problem_7588.png
new file mode 100644
index 0000000000000000000000000000000000000000..62a799b79457fcfa2ee14fec78884786a4b7bc3a
--- /dev/null
+++ b/results/train/parabola/problem_7588.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:5d76b58073e730c9142208248c3ceb6c6ec3df6758dd3d6298bfe5c09e61b8f1
+size 186980
diff --git a/results/train/parabola/problem_7594.png b/results/train/parabola/problem_7594.png
new file mode 100644
index 0000000000000000000000000000000000000000..ccfea4ceae92dd51ea6c39f19b612f93f223dd2e
--- /dev/null
+++ b/results/train/parabola/problem_7594.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f8eb8cf6886e13a06c4fe21f77d30a61a9cb9b9369d4cba27f71071fce2af02f
+size 192163
diff --git a/results/train/parabola/problem_7600.png b/results/train/parabola/problem_7600.png
new file mode 100644
index 0000000000000000000000000000000000000000..53cc6384a311dca6bfe8fb1c46427beaf98fcbac
--- /dev/null
+++ b/results/train/parabola/problem_7600.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8c76990566fc1ed1c3dcefac4794a615afb297fe87246c898a357b4a832f65dc
+size 199547
diff --git a/results/train/parabola/problem_7601.png b/results/train/parabola/problem_7601.png
new file mode 100644
index 0000000000000000000000000000000000000000..bd41aeaedd33371181d3b9812dd78dafcf1d0949
--- /dev/null
+++ b/results/train/parabola/problem_7601.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8d0881e12f56bfa6754506f3e6f9d795f94d0389fffc2a023a0c6e5e00ef6b54
+size 204984
diff --git a/results/train/parabola/problem_7603.png b/results/train/parabola/problem_7603.png
new file mode 100644
index 0000000000000000000000000000000000000000..033f03ea812c2d1e3f7abd5878b59b6ecd05a964
--- /dev/null
+++ b/results/train/parabola/problem_7603.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3032751115b45be4bd63cc1590da45bd677e99f01510d09ea05880b6a3789527
+size 184402
diff --git a/results/train/parabola/problem_7610.png b/results/train/parabola/problem_7610.png
new file mode 100644
index 0000000000000000000000000000000000000000..82ac7241f8d5eca347617bebdf7d2eda3dfceb04
--- /dev/null
+++ b/results/train/parabola/problem_7610.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:c50d608682d81cf0efafae889eb4c5dbabcb426b28bb9803fe6e6b588ec12133
+size 200219
diff --git a/results/train/parabola/problem_7616.png b/results/train/parabola/problem_7616.png
new file mode 100644
index 0000000000000000000000000000000000000000..78c9e0772bb4f63bfef487816c310712036c58be
--- /dev/null
+++ b/results/train/parabola/problem_7616.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e49568c4b804edefade39e37341584cc0d3cb2a84dde02bdd37a47a4e3bf03db
+size 201398
diff --git a/results/train/parabola/problem_7618.png b/results/train/parabola/problem_7618.png
new file mode 100644
index 0000000000000000000000000000000000000000..ad0c908c5cc1637671a9369ffd6f21c32e01e6bd
--- /dev/null
+++ b/results/train/parabola/problem_7618.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:3b6fb0f31d26d5b1443f4fbf62b720a7e2d8f11c0176e23d700d5a7453ed78ef
+size 194659
diff --git a/results/train/parabola/problem_7620.png b/results/train/parabola/problem_7620.png
new file mode 100644
index 0000000000000000000000000000000000000000..71c8cbd17cd8e4796089a3ee61a66aefec12da30
--- /dev/null
+++ b/results/train/parabola/problem_7620.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d3cdf990dd3978975a8881f35d9fa1b1cbb837eaad9cdb508332c803aac52989
+size 164226
diff --git a/results/train/parabola/problem_7625.png b/results/train/parabola/problem_7625.png
new file mode 100644
index 0000000000000000000000000000000000000000..03647b4a15a2ce2387f21e9c055036c9ac65c96f
--- /dev/null
+++ b/results/train/parabola/problem_7625.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:64f5fc0eb2e11b1161598ad2236dafc238227e231fd082cfc3c776c5a80acdae
+size 182509
diff --git a/results/train/parabola/problem_7626.png b/results/train/parabola/problem_7626.png
new file mode 100644
index 0000000000000000000000000000000000000000..5e57b6711b13a0f7b1ec2ceb2184af2bc061cb2c
--- /dev/null
+++ b/results/train/parabola/problem_7626.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:a569c67e8bab5f4d7419f5a8e5fa24537d18d1e4916851be92a19d817bd94d47
+size 168451
diff --git a/results/train/parabola/problem_7630.png b/results/train/parabola/problem_7630.png
new file mode 100644
index 0000000000000000000000000000000000000000..da840d462f84fd9f22884ac76244fe41afdec8bd
--- /dev/null
+++ b/results/train/parabola/problem_7630.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:11998e9310fd7c44550dbf1da12f5499bdf2fafeb64bb48582947dd67d99cbdf
+size 203724
diff --git a/results/train/parabola/problem_7632.png b/results/train/parabola/problem_7632.png
new file mode 100644
index 0000000000000000000000000000000000000000..cef09fdff5f0a021a65e232e356b5b582253b567
--- /dev/null
+++ b/results/train/parabola/problem_7632.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:990ec9d1486cfcc403f1e106f16138dfe578dee784584f36b9e51043e9f9dae1
+size 192859
diff --git a/results/train/parabola/problem_7639.png b/results/train/parabola/problem_7639.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc3ccac1a2019d16c70d806313b569cf7c4d66b3
--- /dev/null
+++ b/results/train/parabola/problem_7639.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:7730a6cd1bcaac0b784075f16c699ca503b00eaeb86fb3669676935daa22fd36
+size 201598
diff --git a/results/train/parabola/problem_7644.png b/results/train/parabola/problem_7644.png
new file mode 100644
index 0000000000000000000000000000000000000000..9bced8a96ba1f5f7570ddbaf49ea587bb907c4fa
--- /dev/null
+++ b/results/train/parabola/problem_7644.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:585328b8a7225f4122a5aea393453039a4f82cc24d8a9e9da94d4a24f2d1a8e6
+size 191932
diff --git a/results/train/parabola/problem_7648.png b/results/train/parabola/problem_7648.png
new file mode 100644
index 0000000000000000000000000000000000000000..70c77311626f5553fb95689dde7d2accf741eead
--- /dev/null
+++ b/results/train/parabola/problem_7648.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:8ec5878b6fab5c5dfb6fadf0db98b3d6231996dab131d066a08c54a3ef2f9bb9
+size 194699
diff --git a/results/train/parabola/problem_7651.png b/results/train/parabola/problem_7651.png
new file mode 100644
index 0000000000000000000000000000000000000000..c16475bab7f064e5a795ac4060a8c165a44dd477
--- /dev/null
+++ b/results/train/parabola/problem_7651.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4e0fad4e45d25cedf9f9a2701fab5f3dfcc4dca0efdffba8c8f5d2fc6679453c
+size 191602
diff --git a/results/train/parabola/problem_7655.png b/results/train/parabola/problem_7655.png
new file mode 100644
index 0000000000000000000000000000000000000000..a0078caf3c5b92c7631b83d5ddca87d2913c6428
--- /dev/null
+++ b/results/train/parabola/problem_7655.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6ae047f0adc9e3121cd4fc62bf47dac37f0b2846772a0cdc1ae44f470798fc04
+size 189989
diff --git a/results/train/parabola/problem_7660.png b/results/train/parabola/problem_7660.png
new file mode 100644
index 0000000000000000000000000000000000000000..d2219885cacc60e89d7902bc3b8bee12d35f77af
--- /dev/null
+++ b/results/train/parabola/problem_7660.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:2528e56f284d482d9af1c47ec534b099045cebd711bf634a3ea8010024319aed
+size 201885
diff --git a/results/train/parabola/problem_7664.png b/results/train/parabola/problem_7664.png
new file mode 100644
index 0000000000000000000000000000000000000000..d227ecf1d6bd1a641a0664ce8ec06c93226dc95b
--- /dev/null
+++ b/results/train/parabola/problem_7664.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b8001e2a3f6cf8f60ec236ab0e9f561e351724f084c6a5a70dbdc9306a0599e7
+size 193242
diff --git a/results/train/parabola/problem_7670.png b/results/train/parabola/problem_7670.png
new file mode 100644
index 0000000000000000000000000000000000000000..021937eeccd19915df4228fa5d19b6c88e0db280
--- /dev/null
+++ b/results/train/parabola/problem_7670.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e91d6e27f6a313824307eb3f964b59752f31a8cff089bee41b6239dd5a3b8c0a
+size 201705
diff --git a/results/train/parabola/problem_7672.png b/results/train/parabola/problem_7672.png
new file mode 100644
index 0000000000000000000000000000000000000000..12a70f441570a3a81d73bc3136aac3fbc2668a70
--- /dev/null
+++ b/results/train/parabola/problem_7672.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:d59b9cc54dd9988f8ca4f45b79b6bdc99e22a4b34fbab1b340896712ac98071c
+size 193602
diff --git a/results/train/parabola/problem_7677.png b/results/train/parabola/problem_7677.png
new file mode 100644
index 0000000000000000000000000000000000000000..467dacf8a818399b91abfb8c34acdeb956b0600d
--- /dev/null
+++ b/results/train/parabola/problem_7677.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:915a9a932d5303518acbf13b876edad6982f9aea05c557c7131c38b1bc464822
+size 202039
diff --git a/results/train/parabola/problem_7684.png b/results/train/parabola/problem_7684.png
new file mode 100644
index 0000000000000000000000000000000000000000..e14a41906f5eda48207ae76522e0d05b888aef21
--- /dev/null
+++ b/results/train/parabola/problem_7684.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0229f9be37f2dab1e5a35aa85e61adcef487bc657699f019fb0128a3a4610738
+size 183255
diff --git a/results/train/parabola/problem_7685.png b/results/train/parabola/problem_7685.png
new file mode 100644
index 0000000000000000000000000000000000000000..25afb0a7062903d5aa381a14b38fab46c7d83e05
--- /dev/null
+++ b/results/train/parabola/problem_7685.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e1f8a202c2bddf40240b7c97138f2d7e232e98f4453189093a2ff9816da36d34
+size 194765
diff --git a/results/train/parabola/problem_7694.png b/results/train/parabola/problem_7694.png
new file mode 100644
index 0000000000000000000000000000000000000000..72f916e7d17b91f78d320e4889c850a4c765ad2d
--- /dev/null
+++ b/results/train/parabola/problem_7694.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6a6b8f1b964aa2fa69be7bf7f18b1c1b727ddcbdd81a7e8a76dcb4604dd622d5
+size 168155
diff --git a/results/train/parabola/problem_7696.png b/results/train/parabola/problem_7696.png
new file mode 100644
index 0000000000000000000000000000000000000000..73b60543650384a92f0ba80fa5cce4f5c587ee62
--- /dev/null
+++ b/results/train/parabola/problem_7696.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:54d289ce96c25485018e53207c31e2af8511b33c3cd7265abdcf07c9e2b26783
+size 190184
diff --git a/results/train/parabola/problem_7699.png b/results/train/parabola/problem_7699.png
new file mode 100644
index 0000000000000000000000000000000000000000..5f1f7d6d20289951598feb3638c95293c1860f97
--- /dev/null
+++ b/results/train/parabola/problem_7699.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1f9032fff9b3420eb01eeaf160be841263ecb434507dd123201c131f673f5ff6
+size 191318
diff --git a/results/train/parabola/problem_7700.png b/results/train/parabola/problem_7700.png
new file mode 100644
index 0000000000000000000000000000000000000000..465c392411630a16b5458a697221edf7d949a4bb
--- /dev/null
+++ b/results/train/parabola/problem_7700.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:38e46e969cd6993b5111f3609e07094fab8bd72c1d968d81a7feca97516d3d83
+size 187289
diff --git a/results/train/parabola/problem_7702.png b/results/train/parabola/problem_7702.png
new file mode 100644
index 0000000000000000000000000000000000000000..75f06468168b8c1b5c6a54fbe531f08e58263c63
--- /dev/null
+++ b/results/train/parabola/problem_7702.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:196b6759552cb01aef937742229ff0a241c97513bc0b76a0f4ab2bcb2b11a0a0
+size 187606
diff --git a/results/train/parabola/problem_7709.png b/results/train/parabola/problem_7709.png
new file mode 100644
index 0000000000000000000000000000000000000000..478a95b03fb8a265560a0fa9a5cf77f8567aac7a
--- /dev/null
+++ b/results/train/parabola/problem_7709.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:0ce13747f07391bd8c7974f1b6d4a73721e54c31bfc296168a397e280e021244
+size 186239
diff --git a/results/train/parabola/problem_7711.png b/results/train/parabola/problem_7711.png
new file mode 100644
index 0000000000000000000000000000000000000000..fc5d27851278db12f073c924196312c8b1f8c198
--- /dev/null
+++ b/results/train/parabola/problem_7711.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:93bae6850da78d32363268259b3314ac930c51d670cc247987a1d05e950e658f
+size 183006
diff --git a/results/train/parabola/problem_7713.png b/results/train/parabola/problem_7713.png
new file mode 100644
index 0000000000000000000000000000000000000000..0de9ddd85fcbef203e47eee1d7ae4f2ea4358744
--- /dev/null
+++ b/results/train/parabola/problem_7713.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1c43d4c6147e1a4922e9208f22a49943908bf8ee8eedcdf8ebda2b99921f10cd
+size 186323
diff --git a/results/train/parabola/problem_7716.png b/results/train/parabola/problem_7716.png
new file mode 100644
index 0000000000000000000000000000000000000000..9106ed27c60277029865cdc2caf24ecfc1d67872
--- /dev/null
+++ b/results/train/parabola/problem_7716.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6c31dd6e6c22d6cde1ecf7052e24f9f54e681288a5e1a980826a04a0fe0791e2
+size 197654
diff --git a/results/train/parabola/problem_7728.png b/results/train/parabola/problem_7728.png
new file mode 100644
index 0000000000000000000000000000000000000000..4e22e85966f57e921728924bceeece187ca60501
--- /dev/null
+++ b/results/train/parabola/problem_7728.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:4a2a194768005f609390932239b85d8a527b6e5001343c9ca2725a6a1f6c6356
+size 192753
diff --git a/results/train/parabola/problem_7731.png b/results/train/parabola/problem_7731.png
new file mode 100644
index 0000000000000000000000000000000000000000..931142dcfb7487646b932efae7faeb76eda9a4f7
--- /dev/null
+++ b/results/train/parabola/problem_7731.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:f1074c37b5a8cd37c60d4b039686d8398a338863a9bc366e63edb1657ede73d5
+size 186354
diff --git a/results/train/parabola/problem_7736.png b/results/train/parabola/problem_7736.png
new file mode 100644
index 0000000000000000000000000000000000000000..85d9165e4121b8a60889e34bf636239b357efdcd
--- /dev/null
+++ b/results/train/parabola/problem_7736.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:48be278425dad24c60ca9c3c4f4edb90bdd2b14515ecb99ce405e633715d95f4
+size 202329
diff --git a/results/train/parabola/problem_7738.png b/results/train/parabola/problem_7738.png
new file mode 100644
index 0000000000000000000000000000000000000000..503a2ae25163cc2fcb80e91c3d41721d2f847d2d
--- /dev/null
+++ b/results/train/parabola/problem_7738.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:b3dc9c16b9b748517a98fe002e729f26240927d8edac49ff70ef9b2c76279794
+size 194831
diff --git a/results/train/parabola/problem_7740.png b/results/train/parabola/problem_7740.png
new file mode 100644
index 0000000000000000000000000000000000000000..b596da0c54466a32cfa71c6e757edec0e80d7f0f
--- /dev/null
+++ b/results/train/parabola/problem_7740.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:6e9b35af352f1960a767dfb111e88a4365225879c90f0a79edaa683b4c7c1d0f
+size 189762
diff --git a/results/train/parabola/problem_7742.png b/results/train/parabola/problem_7742.png
new file mode 100644
index 0000000000000000000000000000000000000000..7454d0f37e839d43147e5e49f8797b33e6436bef
--- /dev/null
+++ b/results/train/parabola/problem_7742.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:1b49437e0c0e81d112ba5342fb95b8d6426ea1cc44d78de5634ee2ff4cb7082e
+size 192595
diff --git a/results/train/parabola/problem_7747.png b/results/train/parabola/problem_7747.png
new file mode 100644
index 0000000000000000000000000000000000000000..eb697845f5f420c4997854aa376f5c3827f8ab40
--- /dev/null
+++ b/results/train/parabola/problem_7747.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:ea407d2c6218985b47cede2776816420b7fedec956269b2ed229d2a7f5f0eaac
+size 188988
diff --git a/results/train/parabola/problem_7755.png b/results/train/parabola/problem_7755.png
new file mode 100644
index 0000000000000000000000000000000000000000..6ded4c11c9aa3641866194354e905616f96b3ad0
--- /dev/null
+++ b/results/train/parabola/problem_7755.png
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:e2366d90e469faf484b8d91f269efcb8d72c7c064a4e66721b86b9c0be378e2b
+size 192849
diff --git a/results/train/summary.json b/results/train/summary.json
new file mode 100644
index 0000000000000000000000000000000000000000..5d12a2f53c78595ca80d18a8640558f8da786ab6
--- /dev/null
+++ b/results/train/summary.json
@@ -0,0 +1,136785 @@
+{
+  "stats": {
+    "total": 7757,
+    "success": 5844,
+    "failed": 1913
+  },
+  "type_stats": {
+    "ellipse": 1730,
+    "hyperbola": 2025,
+    "parabola": 1999,
+    "circle": 90
+  },
+  "reason_counts": {
+    "parabola_point_off_curve": 11,
+    "hyperbola_focus_mismatch": 38,
+    "ellipse_ecc_mismatch": 19,
+    "hyperbola_point_off_curve": 47,
+    "ellipse_point_off_curve": 38,
+    "ellipse_focus_mismatch": 25,
+    "parabola_focus_mismatch": 6,
+    "hyperbola_asymptote_mismatch": 3,
+    "circle_point_off_curve": 1
+  },
+  "results": [
+    {
+      "index": 0,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0000.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0001.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (x^2/4 - y^2/m^2 = 1);Expression(OneOf(Asymptote(G))) = (5*x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 2,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0002.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(Focus(G), OneOf(Asymptote(G))) = Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 3,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0003.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;B:Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(C)) = F;Center(G)=F;IsTangent(Asymptote(C),G);Intersection(G,C)={A,B};IsPerpendicular(LineSegmentOf(A,F),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.9959803819656372,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 3.6780886603082763e-07,
+        "converged": true,
+        "iterations": 56
+      },
+      "output_path": "results/train/parabola/problem_0004.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = a*y);a: Number;A: Point;Coordinate(A) = (1, 1/4);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          1.0,
+          0.25
+        ]
+      }
+    },
+    {
+      "index": 5,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0005.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0006.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (y^2/4 + x^2/m = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0007.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;m: Number;n:Number;H: Parabola;Expression(G) = (m*x^2+n*n^2=1);Expression(H) = (y = x^2/8);OneOf(Focus(G))=Focus(H);Eccentricity(G)=2",
+      "coords": {}
+    },
+    {
+      "index": 8,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0008.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/7 - y^2/t = 1);t: Real;H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 9,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 10,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0010.png",
+      "answer": "2*sqrt(3)-1",
+      "fact_expr": "G: Parabola;C: Circle;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(C) = (y^2 + (x - 4)^2 = 1);PointOnCurve(A,G);PointOnCurve(B,C);lambda:Real;VectorOf(A,B)=lambda*VectorOf(B,C)",
+      "coords": {}
+    },
+    {
+      "index": 11,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0011.png",
+      "answer": "y^2=2*x-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 12,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0012.png",
+      "answer": "sqrt(2) - 1",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G)) = True;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(F1, F2)) = b^2/a;I: Point;Incenter(TriangleOf(P,F1,F2)) = I;Area(TriangleOf(I,P,F1))=Area(TriangleOf(I,P,F2))+lambda*Area(TriangleOf(I,F1,F2));lambda: Number",
+      "coords": {}
+    },
+    {
+      "index": 13,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0013.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;B: Point;F1: Point;F2: Point;b>0;a>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsPerpendicular(LineSegmentOf(A,B),xAxis);PointOnCurve(F2,LineSegmentOf(A,B));AngleOf(A, F1, B) = ApplyUnit(90, degree);IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 14,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0014.png",
+      "answer": "(pm*sqrt(2),0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 15,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0015.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;A: Point;B: Point;O: Origin;F: Point;l: Line;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Expression(H) = (y = x^2/4);Focus(H) = F;Directrix(H) = l;L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(l, L1) = A;Intersection(l,L2)=B;Abs(LineSegmentOf(A, B)) = 4*Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 16,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0016.png",
+      "answer": "{4, 4*sqrt(2)}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);Eccentricity(G) = sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 17,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 14.875267028808594,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 7.913284778594971,
+        "converged": false,
+        "iterations": 500
+      },
+      "output_path": "results/train/parabola/problem_0017.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;a: Number;P: Point;F: Point;Expression(G) = (y^2 = a*x);Negation(a=0);Coordinate(P) = (-1, 4);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = Abs(LineSegmentOf(P, F))",
+      "coords": {
+        "P": [
+          -1.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 18,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0018.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G);Distance(M, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 19,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 20,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0020.png",
+      "answer": "x^2/64 - y^2/36 = 1",
+      "fact_expr": "G: Hyperbola;A: Point;C:Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (6, 8*sqrt(2));Asymptote(G)=Asymptote(C);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          6.0,
+          11.313708498984761
+        ]
+      }
+    },
+    {
+      "index": 21,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 22,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0022.png",
+      "answer": "2",
+      "fact_expr": "P: Point;Coordinate(P) = (8, 1);G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);H: LineSegment;IsChordOf(H, G);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 23,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0023.png",
+      "answer": "y = 4*x - 7",
+      "fact_expr": "G: Hyperbola;H: Line;P1: Point;P2: Point;P: Point;Coordinate(P) = (2, 1);Expression(G) = (x^2 - y^2/2 = 1);PointOnCurve(P, H);Intersection(H, G) = {P1, P2};MidPoint(LineSegmentOf(P1, P2)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 24,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0024.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;O: Origin;Vertex(C) = O;PointOnCurve(Focus(C), xAxis) = True;G: Line;Expression(G) = (y = x);Intersection(G, C) = {A, B};A: Point;B: Point;P: Point;Coordinate(P) = (2, 2);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 25,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0025.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G) = True;Distance(P, yAxis) = 4",
+      "coords": {}
+    },
+    {
+      "index": 26,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0026.png",
+      "answer": "5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(O, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 6;Abs(LineSegmentOf(B, F)) = 8;AngleOf(A, F, B) = pi/2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 27,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0027.png",
+      "answer": "b^2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Negation(P=Vertex(G));LeftFocus(G) = F1;RightFocus(G) = F2;Intersection(InscribedCircle(TriangleOf(F1, P, F2)), RealAxis(G)) = M",
+      "coords": {}
+    },
+    {
+      "index": 28,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0028.png",
+      "answer": "8-4*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/5 + y^2/4 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 29,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0029.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 30,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0030.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;F: Point;O: Origin;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F,l);Intersection(l,G)={A,B};Quadrant(A)=1;VectorOf(B, A) = 4*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 31,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0031.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "l: Line;G: Hyperbola;F1: Point;M: Point;N: Point;F2: Point;Expression(G) = (x^2/2 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);Intersection(l, RightPart(G)) = {M, N};WhenMin(Abs(LineSegmentOf(F1,M))+Abs(LineSegmentOf(F1,N)))",
+      "coords": {}
+    },
+    {
+      "index": 32,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0032.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;H: Circle;F: Point;O: Origin;A: Point;B: Point;Expression(G) = (x^2 - y^2/3 = 1);RightFocus(G) = F;Center(H)=F;Radius(H)=LineSegmentOf(F,O);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(L1,H)=A;Intersection(L2,H)=B;Negation(A=O);Negation(B=O)",
+      "coords": {}
+    },
+    {
+      "index": 33,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 34,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0034.png",
+      "answer": "[\\sqrt{2}/2, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;c: Number;F1: Point;F2: Point;Focus(G) = {F1, F2};Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);M: Point;PointOnCurve(M, G);DotProduct(VectorOf(F1, M), VectorOf(F2, M)) = 0;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 35,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0035.png",
+      "answer": "34/3",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);Distance(P, LeftDirectrix(G)) = 16/5",
+      "coords": {}
+    },
+    {
+      "index": 36,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0036.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "H: Line;Expression(H) = (m + x - 3*y = 0);m: Number;Negation(m=0);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;B: Point;L1: Line;L2: Line;Asymptote(G) = {L1, L2};Intersection(H, L1) = A;Intersection(H, L2) = B;P: Point;Coordinate(P) = (m, 0);Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 37,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0037.png",
+      "answer": "12*sqrt(2)/7",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l);Inclination(l) = pi/4;A: Point;B: Point;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 38,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 39,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.06247315928339958,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0014067133888602257,
+        "converged": true,
+        "iterations": 338
+      },
+      "output_path": "results/train/parabola/problem_0039.png",
+      "answer": "x^2=(1/4)*y",
+      "fact_expr": "G: Parabola;O:Origin;H: Point;Coordinate(H) = (1, 4);Vertex(G)=O;PointOnCurve(Focus(G),yAxis);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 40,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0040.png",
+      "answer": "(2,2)",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(M) = (4, 2);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P,M))+Abs(LineSegmentOf(P,F)))",
+      "coords": {
+        "M": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 41,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0041.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;LeftVertex(C) = A;L1: Line;L2: Line;PointOnCurve(A, L1) = True;PointOnCurve(b, L2) = True;J1: Line;J2: Line;Asymptote(C) = {J1, J2};IsPerpendicular(L1, J1) = True;IsPerpendicular(L2, J2) = True;FootPoint(L1, J1) = M;FootPoint(L2, J2) = N;M: Point;N: Point;O: Origin;Abs(LineSegmentOf(M, N)) = (4/5)*Abs(LineSegmentOf(O, A))",
+      "coords": {}
+    },
+    {
+      "index": 42,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 43,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0043.png",
+      "answer": "{(sqrt(3),+oo),(-oo,-sqrt(3))}",
+      "fact_expr": "G: Hyperbola;H: Line;m: Real;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y = m + x);NumIntersection(H, G)=2",
+      "coords": {}
+    },
+    {
+      "index": 44,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0044.png",
+      "answer": "-1",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;l1:Line;l2:Line;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l);Intersection(l, G) = {A, B};TangentOfPoint(A,G)=l1;TangentOfPoint(B,G)=l2",
+      "coords": {}
+    },
+    {
+      "index": 45,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0045.png",
+      "answer": "{ApplyUnit(60,degree),ApplyUnit(120,degree)}",
+      "fact_expr": "l: Line;G: Parabola;p: Number;F: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, l);Intersection(l,G)={A,B};Abs(LineSegmentOf(F, A)) = 3*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 46,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 47,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0047.png",
+      "answer": "1/16",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(H,Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 48,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.708203932499369,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 45.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0048.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/45 + y^2/20 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};O: Origin;H: Line;PointOnCurve(O,H) = True;Intersection(H,G) = {A,B};A: Point;B: Point;Area(TriangleOf(A,B,F2)) = 20",
+      "coords": {}
+    },
+    {
+      "index": 49,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0049.png",
+      "answer": "x^2/56+y^2/7=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/24 = 1);H: Ellipse;Focus(G) = Focus(H);Distance(Directrix(H),Center(H)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 50,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0050.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(C) = (x^2 - y^2/3 = 1);InterReciprocal(Eccentricity(C),Eccentricity(G))",
+      "coords": {}
+    },
+    {
+      "index": 51,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0051.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, Directrix(G));IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));LineSegmentOf(P, F1)*LineSegmentOf(P, F2) = 4*(a*b)",
+      "coords": {}
+    },
+    {
+      "index": 52,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 53,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0053.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P,F1),VectorOf(P,F2));Area(TriangleOf(P, F1, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 54,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0054.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;H: Line;A: Point;B: Point;F1: Point;O:Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;PointOnCurve(F1, H);Intersection(H, Asymptote(C)) = {A, B};IsDiameter(LineSegmentOf(A,B),G);PointOnCurve(O,G)",
+      "coords": {}
+    },
+    {
+      "index": 55,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0055.png",
+      "answer": "2*x+y-2=0",
+      "fact_expr": "G: Parabola;A: Point;B: Point;O: Origin;M: Point;Expression(G) = (y^2 = 2*x);Coordinate(M) = (1, 0);PointOnCurve(M,LineOf(A,B));Intersection(LineOf(A,B), G) = {A, B};Slope(LineSegmentOf(O, A))+Slope(LineSegmentOf(O, B)) = 1",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 56,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 57,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0057.png",
+      "answer": "18\n20",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1,H);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 58,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0058.png",
+      "answer": "1\n2",
+      "fact_expr": "C1: Hyperbola;C2:Hyperbola;b: Number;a: Number;F: Point;Expression(C1) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C2) = (-y^2/16 + x^2/4 = 1);Coordinate(F) = (sqrt(5), 0);Asymptote(C1)=Asymptote(C2);RightFocus(C1) = F",
+      "coords": {
+        "F": [
+          2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 59,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0059.png",
+      "answer": "x = -2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (8*y - 4*x + x^2 + y^2 + 19 = 0);PointOnCurve(Center(H), G)",
+      "coords": {}
+    },
+    {
+      "index": 60,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0060.png",
+      "answer": "20",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);H: Line;A: Point;B: Point;PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 61,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 62,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0062.png",
+      "answer": "x^2=4*y",
+      "fact_expr": "C: Parabola;F: Point;Coordinate(F) = (0, 1);Focus(C) = F",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 63,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0063.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/5 + x^2/a^2 = 1);a: Number;a>sqrt(5);F: Point;LeftFocus(G) = F;H: Line;Expression(H) = (x = m);m: Number;A: Point;B: Point;Intersection(G,H) = {A,B}\t;Max(Perimeter(TriangleOf(F,A,B))) = 12",
+      "coords": {}
+    },
+    {
+      "index": 64,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0064.png",
+      "answer": "y=pm*(4/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 65,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0065.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;D: Point;A: Point;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C)=A;UpperVertex(C)=D;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,LineSegmentOf(A,D));Max(DotProduct(VectorOf(P, F1),VectorOf(P, F2)))=2;Min(DotProduct(VectorOf(P,F1),VectorOf(P,F2)))=-2/3",
+      "coords": {}
+    },
+    {
+      "index": 66,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0066.png",
+      "answer": "{sqrt(2),sqrt(3)}",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 1);k: Number;k > 0;G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 67,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 68,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0068.png",
+      "answer": "(0,12)",
+      "fact_expr": "G: Hyperbola;k: Real;Expression(G) = (x^2/4 - y^2/k = 1);Eccentricity(G) =e;e:Number;In(e,(1,2))",
+      "coords": {}
+    },
+    {
+      "index": 69,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0069.png",
+      "answer": "5",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;A: Point;B: Point;F2: Point;F1: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F1, G);Intersection(G, E) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(F1, B));Abs(LineSegmentOf(A, B)) = 4;Perimeter(TriangleOf(A, B, F2)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 70,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0070.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);C:Curve;Expression(C)=(x^2/a^2+y^2=1);a>0;a:Number;Focus(G)=RightFocus(C)",
+      "coords": {}
+    },
+    {
+      "index": 71,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0071.png",
+      "answer": "[4, +oo)",
+      "fact_expr": "l: Line;C: Parabola;P: Point;Q: Point;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 72,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 73,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0073.png",
+      "answer": "9",
+      "fact_expr": "l: Line;C: Hyperbola;A: Point;F: Point;B: Point;O:Origin;Expression(C) = (-y^2/9 + x^2/a^2 = 1);PointOnCurve(O, l);Intersection(l, C) = {A, B};LeftFocus(C) = F;IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F));a:Number;a>0",
+      "coords": {}
+    },
+    {
+      "index": 74,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0074.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;B: Point;M: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(B) = (0, a);Intersection(RightDirectrix(C), xAxis) = A;VectorOf(A,B)=3*VectorOf(A,M);PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 75,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0075.png",
+      "answer": "3, 25/3",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (x^2/5 + y^2/m = 1);Eccentricity(G) = sqrt(10)/5",
+      "coords": {}
+    },
+    {
+      "index": 76,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0076.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(120, degree);Area(TriangleOf(F1, P, F2)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 77,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0077.png",
+      "answer": "27/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);A: Point;B: Point;Coordinate(A) = (1, 1);Coordinate(B) = (-2, 4);M: Point;Intersection(TangentOnPoint(A,G),TangentOnPoint(B,G))=M;PointOnCurve(A,G);PointOnCurve(B,G)",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ],
+        "B": [
+          -2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 78,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0078.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);e:Number;Eccentricity(G)=e;e = sqrt(10)/5",
+      "coords": {}
+    },
+    {
+      "index": 79,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0079.png",
+      "answer": "6",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);H1: Circle;Expression(H1) = (y^2 + (x + 1)^2 = 1);PointOnCurve(Q, H1) = True;Q: Point;R: Point;H2:Circle;Expression(H2) = (y^2 + (x - 1)^2 = 1);PointOnCurve(R, H2) = True",
+      "coords": {}
+    },
+    {
+      "index": 80,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0080.png",
+      "answer": "(\\sqrt{2} - 1, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;c: Number;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);RightFocus(G) = F2;LeftFocus(G) = F1;PointOnCurve(P, G);a/Sin(AngleOf(P, F1, F2)) = c/Sin(AngleOf(P, F2, F1))",
+      "coords": {}
+    },
+    {
+      "index": 81,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0081.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;H: Line;t: Number;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = t + x);Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G);XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3;Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 82,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0082.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;A:Point;LeftVertex(G)=A;PointOnCurve(P,G);3*VectorOf(P,A)=2*VectorOf(P,F1)+VectorOf(P,F2)",
+      "coords": {}
+    },
+    {
+      "index": 83,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0083.png",
+      "answer": "x+y-3=0",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 2);l: Line;G: Ellipse;Expression(G) = (x^2/4 + y^2/8 = 1);MidPoint(InterceptChord(l, G)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 84,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 85,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0085.png",
+      "answer": "1/5",
+      "fact_expr": "G: Ellipse;k: Real;H: Circle;Expression(G) = (k*y^2 + x^2 = 1);Expression(H) = (x^2 + y^2 = 4);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 86,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0086.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (sqrt(5), 0);LeftFocus(C) = F1;RightFocus(C) = F2;RightVertex(C) = A;Eccentricity(C) = sqrt(5)/5",
+      "coords": {
+        "A": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 87,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0087.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;A: Point;B: Point;C: Point;D: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G),l);IsPerpendicular(l,xAxis);Intersection(l, G) = {A, B};Intersection(l,Asymptote(G))={C,D};3*Abs(LineSegmentOf(A, B)) = 2*Abs(LineSegmentOf(C, D))",
+      "coords": {}
+    },
+    {
+      "index": 88,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0088.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;M: Point;Coordinate(M) = (3, 2);WhenMin(LineSegmentOf(P, M) + LineSegmentOf(P, F))",
+      "coords": {
+        "M": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 89,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 90,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 91,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0091.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C)=F;Inclination(G)=pi/3;PointOnCurve(F,G);Intersection(G, C) = {A, B};IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {}
+    },
+    {
+      "index": 92,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 93,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0093.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 94,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 95,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0095.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/20 = 1);Focus(G) = {F1,F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 96,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0096.png",
+      "answer": "-9/4",
+      "fact_expr": "O: Origin;T: Ellipse;Expression(T) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;Eccentricity(T) = sqrt(2)/2;B: Point;Coordinate(B)=(0,1);OneOf(Vertex(T)) = B;P: Point;PointOnCurve(P, T);PointOnCurve(P, LineOf(P, A));PointOnCurve(P, LineOf(P, C));A: Point;Intersection(LineOf(P, A), T) = A;C: Point;Intersection(LineOf(P, C), T) = C;D: Point;MidPoint(LineSegmentOf(P, A)) = D;E: Point;MidPoint(LineSegmentOf(P, C)) = E;k1: Number;k2: Number;Slope(LineOf(P, A)) = k1;Slope(LineOf(P, C)) = k2;k1<0;k2<0;Slope(LineOf(O, D))+Slope(LineOf(O, E)) = 2",
+      "coords": {
+        "B": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 97,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0097.png",
+      "answer": "-1",
+      "fact_expr": "M: Point;Coordinate(M) = (0, 2);G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;PointOnCurve(F, LineOf(A,B)) = True;Intersection(LineOf(A,B),G) = {A,B};A: Point;B: Point;DotProduct(VectorOf(A, M), VectorOf(F, M)) = 0",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 98,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0098.png",
+      "answer": "4",
+      "fact_expr": "A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 10;C:Curve;Expression(C)=(y^2=4*x);IsChordOf(LineSegmentOf(A,B),C);PointOnCurve(Focus(C),LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 99,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0099.png",
+      "answer": "y=x-4/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);M: Point;UpperVertex(G) = M;l: Line;P: Point;Q: Point;Intersection(l, G) = {P, Q};H: Point;Coordinate(H) = (1, 0);Orthocenter(TriangleOf(P, Q, M)) = H",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 100,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0100.png",
+      "answer": "sqrt(26)-2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);Coordinate(A) = (3, 1);PointOnCurve(P, RightPart(G));RightFocus(G) = F",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 101,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0101.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;F1: Point;A: Point;M: Point;F2: Point;Expression(C) = (x^2 - y^2/3 = 1);Coordinate(M) = (2/3, 0);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, C);Distance(M, LineOf(A, F1)) = Distance(M, LineOf(A, F2))",
+      "coords": {
+        "M": [
+          0.6666666666666666,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 102,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0102.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;H: Circle;Center(H) = F;Radius(H) = a;IsTangent(H,Asymptote(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 103,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0103.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);Inclination(H) = ApplyUnit(30, degree);P: Point;Intersection(H, RightPart(G)) = P;IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 104,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0104.png",
+      "answer": "7",
+      "fact_expr": "PointOnCurve(Focus(G),LineOf(A,B)) = True;G: Parabola;Expression(G) = (y^2 = 4*x);Intersection(LineOf(A,B),G) = {A,B};A: Point;x1: Number;y1: Number;B: Point;x2: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1 + x2 = 5",
+      "coords": {}
+    },
+    {
+      "index": 105,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0105.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;M: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/2 = 1);Focus(G)={F1,F2};PointOnCurve(M, G);LineSegmentOf(M, F1)*LineSegmentOf(M, F2) = 0",
+      "coords": {}
+    },
+    {
+      "index": 106,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 107,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0107.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "l: Line;Expression(l) = (y = m*x - 4*m);m: Number;G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;A: Point;B: Point;Intersection(l, G) = {A, B};H: Circle;IsDiameter(LineSegmentOf(A, B), H);O: Origin;PointOnCurve(O, H)",
+      "coords": {}
+    },
+    {
+      "index": 108,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0108.png",
+      "answer": "{-4/5,-1}",
+      "fact_expr": "H: Line;Expression(H) = (y = x*(a + 1) - 1);G: Parabola;Expression(G) = (y^2 = a*x);a: Number;Negation(a=0);NumIntersection(H, G)=1",
+      "coords": {}
+    },
+    {
+      "index": 109,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 110,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0110.png",
+      "answer": "(6,4*sqrt(3))",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;l: Line;Expression(G) = (y^2 = 8*x);Focus(G) = F;Directrix(G)=l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l)=A;Slope(LineOf(A,F)) = -sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 111,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0111.png",
+      "answer": "6",
+      "fact_expr": "m: Line;G: Parabola;p: Number;l: Line;P: Point;M: Point;F: Point;p>0;y0:Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(P) = (2, y0);Focus(G) = F;TangentOfPoint(P,G)=l;PointOnCurve(P,m);IsParallel(m,xAxis);L:Line;PointOnCurve(F,L);IsParallel(L,l);Intersection(L,m)=M;Abs(LineSegmentOf(P, M)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 112,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_0112.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = 1/2;FocalLength(C) = 2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 113,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0113.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P,G) = True;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 114,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0114.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 115,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 116,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 117,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0117.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Circle;H: Line;C:Circle;Expression(G) = (y^2 + (x - 2)^2 = 1);Expression(H) = (x + 1 = 0);IsOutTangent(G,C);IsTangent(H,C)",
+      "coords": {}
+    },
+    {
+      "index": 118,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 119,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0119.png",
+      "answer": "(x-5)^2+y^2=16",
+      "fact_expr": "G: Hyperbola;C: Circle;Expression(G) = (x^2/9 - y^2/16 = 1);Center(C) = RightFocus(G);IsTangent(Asymptote(G), C)",
+      "coords": {}
+    },
+    {
+      "index": 120,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0120.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "F2: Point;F1: Point;Focus(G) = {F1, F2};G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;Q: Point;IsChordOf(LineSegmentOf(P, Q), G);PointOnCurve(F1, LineSegmentOf(P, Q));IsPerpendicular(LineSegmentOf(P, Q), xAxis);AngleOf(P, F2, Q) = ApplyUnit(90, degree);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 121,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0121.png",
+      "answer": "(3, pm*2*sqrt(3))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 122,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 123,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 124,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0124.png",
+      "answer": "1/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;Intersection(Directrix(C), xAxis) = A;A: Point;G: Circle;Center(G) = F;Radius(G) = LineSegmentOf(A,F);OneOf(Intersection(G,C)) = B;B: Point;O: Origin;AngleOf(A,B,O) = theta;theta: Number",
+      "coords": {}
+    },
+    {
+      "index": 125,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0125.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;O: Origin;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;k:Number;Slope(l)=k;PointOnCurve(F,l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, B)) = 6*Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 126,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0126.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B);YCoordinate(MidPoint(LineSegmentOf(A, B))) = sqrt(2)/2;IsChordOf(LineSegmentOf(A, B),C)",
+      "coords": {}
+    },
+    {
+      "index": 127,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0127.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "E: Parabola;F: Point;M: Point;Expression(E) = (y^2 = 2*x);Focus(E) = F;PointOnCurve(M, E);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 128,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0128.png",
+      "answer": "y^2/4 + x^2/3 = 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);UpperFocus(G) = F1;LowerFocus(G) = F2;RightVertex(G) = B;Abs(LineSegmentOf(B,F2)) = Abs(LineSegmentOf(F1, F2));Abs(LineSegmentOf(F1, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 129,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 5.196152422706632,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0129.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/27 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 130,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 131,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0131.png",
+      "answer": "3",
+      "fact_expr": "G: Line;Expression(G) = (y = 2*x - 3);C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 132,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0132.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Slope(l) > 0;Intersection(l, C) = {M, N};M: Point;N: Point;Abs(LineSegmentOf(M, F)) = 3*Abs(LineSegmentOf(N, F));PointOnCurve(F, l)",
+      "coords": {}
+    },
+    {
+      "index": 133,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 134,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 135,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0135.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (-y^2 + x^2/m = 1);Expression(H) = (y^2 = 8*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 136,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0136.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;p>0;Expression(G) = (y^2 = -2*p*x);Expression(H) = (x^2/9 + y^2/5 = 1);PointOnCurve(RightFocus(H), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 137,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 138,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0138.png",
+      "answer": "6",
+      "fact_expr": "l: Line;C1: Parabola;C2: Circle;A: Point;M: Point;N: Point;B: Point;O: Origin;Expression(Directrix(C1))=(x=-3);Expression(C2)=((x-3)^2+y^2=1);Vertex(C1) = O;Center(C2)=C;C:Point;PointOnCurve(C,l);Intersection(l,C1)={A,B};Intersection(l,C2) = {M,N};Abs(LineSegmentOf(A, M)) < Abs(LineSegmentOf(A, N))",
+      "coords": {}
+    },
+    {
+      "index": 139,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0139.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/9 + y^2/m = 1);m: Real;FocalLength(G) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 140,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0140.png",
+      "answer": "{sqrt(5), sqrt(5)/2}",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;L1: Line;L2: Line;d1: Number;d2: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Asymptote(G) = {L1, L2};Distance(P, L1) = d1;Distance(P, L2) = d2;d1*d2 = (2/5)*a*b",
+      "coords": {}
+    },
+    {
+      "index": 141,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 142,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0142.png",
+      "answer": "(pm*2*sqrt(5), 5)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 143,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0143.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;F1: Point;P: Point;F2: Point;O:Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);Abs(LineSegmentOf(P,F2))=Abs(LineSegmentOf(F1,F2));Center(H)=O;Radius(H)=b;IsIntersect(LineOf(P,F1),H);Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 144,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0144.png",
+      "answer": "y=pm*(sqrt(6)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(VectorOf(P, F1)) = 6;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 145,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0145.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;PointOnCurve(A, G);Z: Line;PointOnCurve(A, Z);IsPerpendicular(Z, Directrix(G));B: Point;FootPoint(Z, Directrix(G)) = B;Abs(LineSegmentOf(A, B)) = 5;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 146,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 147,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 148,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0148.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 149,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0149.png",
+      "answer": "{-3,-25/3}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 - y^2/m = 1);Eccentricity(G) = e;e=sqrt(10)/5;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 150,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0150.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 151,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0151.png",
+      "answer": "5/2",
+      "fact_expr": "C: Circle;Expression(C) = (-10*y + x^2 + y^2 + 16 = 0);A: Point;B: Point;D: Point;PointOnCurve(A, C);PointOnCurve(B, C);PointOnCurve(D, C);Distance(A, OneOf(Asymptote(G))) = 1;Distance(B, OneOf(Asymptote(G))) = 1;Distance(D, OneOf(Asymptote(G))) = 1;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number",
+      "coords": {}
+    },
+    {
+      "index": 152,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0152.png",
+      "answer": "(9 - sqrt(17))/8",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x^2 + (y - 4)^2 = 1);PointOnCurve(P, G);PointOnCurve(Q, H);WhenMin(Distance(P, Q) + Distance(P, Directrix(G)))",
+      "coords": {}
+    },
+    {
+      "index": 153,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0153.png",
+      "answer": "y=pm*(3/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 154,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0154.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Coordinate(A) = (1, 4);LeftFocus(G) = F;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 155,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0155.png",
+      "answer": "4*sqrt(3)-4",
+      "fact_expr": "A: Point;Coordinate(A) = (3, 0);P: Point;PointOnCurve(P, G) = True;G: Parabola;Expression(G) = (y^2 = 8*x);H: Circle;Expression(H) = (y^2 + (x - 2)^2 = 1);Q: Point;PointOnCurve(Q, H) = True",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 156,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0156.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(OneOf(Asymptote(G))) = (3*x + 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 157,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0157.png",
+      "answer": "2*sqrt(2-1)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 0);PointOnCurve(P, G);Focus(G)=F;Abs(LineSegmentOf(P,A))=2*Abs(LineSegmentOf(P,F))",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 158,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0158.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/9 - y^2/m = 1);Expression(Asymptote(G)) = (y = pm*x*(sqrt(5)/3));F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 159,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0159.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 160,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 161,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0161.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(C) = sqrt(3)/2;F: Point;RightFocus(C) = F;G: Line;PointOnCurve(F,G) = True;Slope(G) = k;k: Number;k>0;Intersection(G,C) = {A,B};A: Point;B: Point;VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 162,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 163,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 164,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0164.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;p: Number;p>0;P:Point;Expression(C) = (x^2 = 2*(p*y));PointOnCurve(P,C);Distance(P, xAxis) = Distance(P,Focus(C)) -3",
+      "coords": {}
+    },
+    {
+      "index": 165,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0165.png",
+      "answer": "(1, sqrt(13)/3) + (sqrt(5), +oo)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;F1: Point;F2: Point;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);c: Number;N: Point;Coordinate(N) = (-c, (3*b^2)/(2*a));M: Point;PointOnCurve(M, LeftPart(C)) = True;Abs(LineSegmentOf(M, F2)) + Abs(LineSegmentOf(M, N)) > 4*b",
+      "coords": {}
+    },
+    {
+      "index": 166,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0166.png",
+      "answer": "a/2 - p/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;A: Point;B: Point;M: Point;a:Number;a>2*p;IsChordOf(LineSegmentOf(A,B),G);Abs(LineSegmentOf(A, B)) = a;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 167,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0167.png",
+      "answer": "4/5",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;G: Line;O: Origin;P: Point;M: Point;N: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (3*x + 5*y - 1 = 0);Intersection(G, C) = {M, N};MidPoint(LineSegmentOf(M, N)) = P;Slope(LineOf(O, P)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 168,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 169,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 170,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0170.png",
+      "answer": "2*sqrt(7)\n(pm*2*sqrt(7),0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 171,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.47213595499958,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0171.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/20 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 172,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 173,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9220545291900635,
+        "b": 2.765991687774658,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.6528161874448415e-06,
+        "converged": true,
+        "iterations": 186
+      },
+      "output_path": "results/train/hyperbola/problem_0173.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/81 + x^2/a^2 = 1);a: Number;a>0;Expression(OneOf(Asymptote(G))) = (y = 3*x)",
+      "coords": {}
+    },
+    {
+      "index": 174,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0174.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;PointOnCurve(F1, LineSegmentOf(A, B));Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2)) = 12;RightFocus(G) = F2;IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 175,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 176,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 177,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 178,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0178.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -4*y);K: Point;PointOnCurve(K, G);F: Point;Coordinate(F) = (0, -1);E: Point;Coordinate(E) = (1, -3)",
+      "coords": {
+        "F": [
+          0.0,
+          -1.0
+        ],
+        "E": [
+          1.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 179,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0179.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(A, G);XCoordinate(MidPoint(LineSegmentOf(A,F))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 180,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0180.png",
+      "answer": "20",
+      "fact_expr": "l: Line;G: Ellipse;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Inclination(l) = pi/3;PointOnCurve(F1, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 181,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0181.png",
+      "answer": "[1,4]",
+      "fact_expr": "M: Point;Coordinate(M) = (m, 0);m: Real;PointOnCurve(M, MajorAxis(G)) = True;G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);P: Point;PointOnCurve(P, G) = True;WhenMin(Abs(LineSegmentOf(M, P)));RightVertex(G) = P",
+      "coords": {}
+    },
+    {
+      "index": 182,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0182.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;H: Line;Expression(G) = (x^2/8 + y^2/4 = 1);Expression(H) = (y = sqrt(3)*x);Focus(C) = Focus(G);OneOf(Asymptote(C))=H",
+      "coords": {}
+    },
+    {
+      "index": 183,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0183.png",
+      "answer": "1",
+      "fact_expr": "H: Parabola;G: Hyperbola;n: Number;F: Point;Expression(H) = (y^2 = 8*x);Expression(G) = (x^2/3 - y^2/n = 1);Focus(H) = F;OneOf(Focus(G))=F",
+      "coords": {}
+    },
+    {
+      "index": 184,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 185,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 186,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0186.png",
+      "answer": "(-1/2,0)",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = -2*x)",
+      "coords": {}
+    },
+    {
+      "index": 187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0187.png",
+      "answer": "1/(Cos(alpha)-Sin(alpha))",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;F2: Point;F1: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsDiameter(LineSegmentOf(F1,F2),H);Intersection(H,RightPart(G))=P;AngleOf(P, F1, F2) = alpha;alpha:Number",
+      "coords": {}
+    },
+    {
+      "index": 188,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0188.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Ellipse;F: Point;P: Point;O: Origin;M: Point;Expression(G) = (x^2/9 + y^2/5 = 1);LeftFocus(G) = F;PointOnCurve(P,G);Quadrant(P)=2;MidPoint(LineSegmentOf(P,F))=M;Abs(LineSegmentOf(O,F))=Abs(LineSegmentOf(O,M))",
+      "coords": {}
+    },
+    {
+      "index": 189,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0189.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;B: Point;F: Point;A: Point;LeftVertex(C)=A;RightFocus(C)=F;e:Number;Eccentricity(C)=e;PointOnCurve(B,RightPart(C));Negation(B=RightVertex(C));AngleOf(B,F,A)/AngleOf(B,A,F)=e",
+      "coords": {}
+    },
+    {
+      "index": 190,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0190.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F2;L:Line;OneOf(Asymptote(G))=L;Expression(L)=(y = x*(b/a));Distance(F2, L) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 191,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0191.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -2*y)",
+      "coords": {}
+    },
+    {
+      "index": 192,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0192.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;F1:Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(F1, LineSegmentOf(P, Q));IsChordOf(LineSegmentOf(P, Q), G);Inclination(LineSegmentOf(P, Q)) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 193,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0193.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;O: Origin;F: Point;RightFocus(C) = F;G: Line;PointOnCurve(F, G);Z1: Line;Z2: Line;Asymptote(C) = {Z1, Z2};P: Point;Intersection(G, Z1) = P;Q: Point;Intersection(G, Z2) = Q;IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(P, Q));VectorOf(Q, F) = 3*VectorOf(F, P)",
+      "coords": {}
+    },
+    {
+      "index": 194,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0194.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);P: Point;PointOnCurve(P, OneOf(Asymptote(G)));Distance(P, Center(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 195,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0195.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;M: Point;PointOnCurve(M, l);N: Point;Intersection(LineSegmentOf(M, F), C) = N;VectorOf(M, N) = 2*VectorOf(N, F);O: Origin;S: Number;Area(TriangleOf(O, F, N)) = S;S = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 196,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0196.png",
+      "answer": "pi/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;Intersection(Directrix(C), xAxis) = M;Z1: Line;Z2: Line;TangentOfPoint(M, C) = {Z1, Z2};P: Point;Q: Point;TangentPoint(Z1, C) = P;TangentPoint(Z2, C) = Q",
+      "coords": {}
+    },
+    {
+      "index": 197,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 198,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0198.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;Distance(M, Directrix(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 199,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0199.png",
+      "answer": "x + pm*y = 0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 200,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0200.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Distance(Focus(G), Asymptote(C)) = sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 201,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0201.png",
+      "answer": "x^2/16+y^2/25=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(G) = (x^2/5 - y^2/4 = -1);Eccentricity(H)=3/5;Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 202,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0202.png",
+      "answer": "14 + 8*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 8);F2: Point;RightFocus(G) = F2;P: Point;Q: Point;PointOnCurve(F2, LineSegmentOf(P, Q)) ;IsChordOf(LineSegmentOf(P, Q), G) ;LineSegmentOf(P, Q) = 7;F1: Point;LeftFocus(G) = F1",
+      "coords": {}
+    },
+    {
+      "index": 203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0203.png",
+      "answer": "26",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F2, l);Intersection(l,RightPart(G))={A, B};Abs(LineSegmentOf(A, B))=5",
+      "coords": {}
+    },
+    {
+      "index": 204,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 205,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0205.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x + 2);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 206,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0206.png",
+      "answer": "14",
+      "fact_expr": "C: Circle;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), C);PointOnCurve(Center(C), Directrix(G));Negation(PointOnCurve(Center(C), xAxis));H: Line;Expression(H) = (x + sqrt(3)*y - 3 = 0);IsTangent(H, C)",
+      "coords": {}
+    },
+    {
+      "index": 207,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 208,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 0.9927864074707031,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00015326803259085864,
+        "converged": true,
+        "iterations": 44
+      },
+      "output_path": "results/train/parabola/problem_0208.png",
+      "answer": "(1, 0)\n5",
+      "fact_expr": "G: Parabola;p: Number;P: Point;Expression(G) = (y^2 = 2*p*x);Coordinate(P) = (4, 4);PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          4.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 209,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 8.218917846679688,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 5.290376663208008,
+        "converged": true,
+        "iterations": 487
+      },
+      "output_path": "results/train/parabola/problem_0209.png",
+      "answer": "(-1/4, 0)",
+      "fact_expr": "G: Parabola;m: Number;H: Point;Expression(G) = (y^2 = m*x);Coordinate(H) = (-1, 1);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          -1.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 210,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0210.png",
+      "answer": "x^2=sqrt(6)*y",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;B: Point;C: Point;E: Point;l: Line;L: Line;p>0;Expression(G) = (x^2 = 2*(p*y));Coordinate(C) = (0, (9/2)*p);Focus(G) = F;Directrix(G) = l;PointOnCurve(A,L);IsPerpendicular(l,L);FootPoint(l,L)=B;Intersection(LineSegmentOf(A, F), LineSegmentOf(B, C)) = E;Abs(LineSegmentOf(C, F)) = 2*Abs(LineSegmentOf(A, F));Area(TriangleOf(A, C, E)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 211,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 212,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_0212.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/16 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 213,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0213.png",
+      "answer": "8",
+      "fact_expr": "P:Point;x1:Number;y1:Number;G:Ellipse;Expression(G)=(x^2/4+y^2=1);Coordinate(P)=(x1,y1);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 214,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0214.png",
+      "answer": "y=2*x-3",
+      "fact_expr": "G: Parabola;H: LineSegment;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (2, 1);IsChordOf(H, G);MidPoint(H)=P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 215,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0215.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = ((x + 1)^2 + (y - 2)^2 = 4);Coordinate(P) = (1, 2);L:Line;OneOf(Asymptote(G))=L;PointOnCurve(P,L)",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 216,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0216.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;O: Origin;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(P,G);Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 217,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_0217.png",
+      "answer": "x^2/16 - y^2/48 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 32*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 218,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0218.png",
+      "answer": "9",
+      "fact_expr": "F: Point;LeftFocus(G) = F;G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);Coordinate(A) = (1, 4);A: Point;P: Point;PointOnCurve(P, RightPart(G)) = True",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 219,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0219.png",
+      "answer": "3*sqrt(7)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/3 + y^2/4 = 1);F1: Point;F2: Point;UpperFocus(C) = F1;LowerFocus(C) = F2;Z: Line;PointOnCurve(F2, Z);IsPerpendicular(Z, yAxis);P: Point;Q: Point;Intersection(Z, C) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 220,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 221,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.3530144097625203,
+        "b": 3.0920111302279403,
+        "major_axis": "x",
+        "x_coef": 12.000000000000005,
+        "y_coef": 8.999999999999996
+      },
+      "optimization": {
+        "final_loss": 0.0017180106211009743,
+        "converged": true,
+        "iterations": 38
+      },
+      "output_path": "results/train/ellipse/problem_0221.png",
+      "answer": "x^2/12+y^2/9=1",
+      "fact_expr": "G: Ellipse;H: Point;Coordinate(H) = (2, -sqrt(6));I: Point;Coordinate(I) = (2*sqrt(2), sqrt(3));PointOnCurve(H, G);PointOnCurve(I, G)",
+      "coords": {
+        "H": [
+          2.0,
+          -2.449489742783178
+        ],
+        "I": [
+          2.8284271247461903,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 222,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0222.png",
+      "answer": "(\\sqrt{5} - 1)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;B: Point;F: Point;A: Point;e: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;RightVertex(C)=A;UpperVertex(C)=B;IsPerpendicular(LineSegmentOf(B, F), LineSegmentOf(B, A));Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 223,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 224,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 225,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0225.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;P: Point;x0:Number;y0:Number;Expression(C) = (x^2 = 4*y);Coordinate(P) = (x0, y0);PointOnCurve(P, C);Distance(P, Focus(C)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 226,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_0226.png",
+      "answer": "3",
+      "fact_expr": "C1: Ellipse;b:Number;0<b;b<2;F1: Point;M: Point;F2: Point;N: Point;P: Point;Expression(C1) = (x^2/4 + y^2/b^2 = 1);Eccentricity(C1)=1/2;LeftFocus(C1) = F1;RightFocus(C1) = F2;PointOnCurve(M, C1);PointOnCurve(N, OverlappingLine(LineSegmentOf(F1,M)));Abs(LineSegmentOf(M, N)) = Abs(LineSegmentOf(M, F2));MidPoint(LineSegmentOf(F2,N)) = P",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 227,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0227.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (2, 1);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 228,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 229,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0229.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 10;P: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {}
+    },
+    {
+      "index": 230,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9898179769515991,
+        "b": 0.13510970771312714,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.5739351511001587e-06,
+        "converged": true,
+        "iterations": 115
+      },
+      "output_path": "results/train/hyperbola/problem_0230.png",
+      "answer": "[-15/16, -3/4]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-1, 0);Coordinate(F2)=(1, 0);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);Range(Eccentricity(C))=[2,4]",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 231,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0231.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 16)",
+      "coords": {}
+    },
+    {
+      "index": 232,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 233,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 234,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 235,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0235.png",
+      "answer": "9",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/25 + y^2/9 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 236,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 237,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0237.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Line;M: Point;F2: Point;N: Point;F: Point;Expression(G) = (x^2/4 - y^2/3 = 1);LeftFocus(G) = F;PointOnCurve(F, H);Intersection(H, LeftPart(G)) = {M, N};RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 238,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0238.png",
+      "answer": "3 + 2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/2 - y^2 = 1);Expression(H) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;LeftFocus(H) = F1;RightFocus(H) = F2;RightFocus(G) = F2;Quadrant(P) = 1;Intersection(H, G) = P",
+      "coords": {}
+    },
+    {
+      "index": 239,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0239.png",
+      "answer": "3*sqrt(10)/10",
+      "fact_expr": "G: Hyperbola;M: Point;Expression(G) = (x^2 - y^2/9 = 1);Coordinate(M) = (-1, 0)",
+      "coords": {
+        "M": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 240,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0240.png",
+      "answer": "2*y^2 = x - 1",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (y^2 = x);Coordinate(A) = (2, 0);P: Point;PointOnCurve(P, G);M: Point;MidPoint(LineSegmentOf(A, P)) = M",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 241,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 242,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0242.png",
+      "answer": "16*sqrt(30)/9",
+      "fact_expr": "G:Ellipse;Expression(G)=(x^2/10+y^2/6=1);l:Line;Inclination(l)=ApplyUnit(60,degree);A:Point;B:Point;Intersection(l,G)={A,B};Abs(LineSegmentOf(A,B))=8*sqrt(30)/9;PointOnCurve(C,G);C:Point;Negation(C=A);Negation(C=B)",
+      "coords": {}
+    },
+    {
+      "index": 243,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0243.png",
+      "answer": "5*sqrt(2)/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 10*x);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (x + y + 5 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 244,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0244.png",
+      "answer": "{y^2=-16*x,x^2=16*y}",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;Expression(H) = (x - y + 4 = 0);Vertex(G) = O;SymmetryAxis(G)=axis;PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 245,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0245.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;G: Line;F: Point;P: Point;Q: Point;k:Number;Expression(C) = (y^2 = 4*x);Expression(G) = (y = k*(x - 1));Focus(C) = F;Intersection(G, C) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 246,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 247,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0247.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;A: Point;B: Point;F: Point;a > b;b > 0;L:Line;O:Origin;RightFocus(G) = F;PointOnCurve(O,L);Intersection(L,G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;Abs(LineSegmentOf(B, F)) = 2*sqrt(3);AngleOf(A, B, F) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 248,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0248.png",
+      "answer": "pm*1",
+      "fact_expr": "l: Line;E: Parabola;p: Number;G: Circle;A: Point;B: Point;C: Point;D: Point;F: Point;p>0;Expression(E) = (y^2 = 2*p*x);Expression(G) = (x^2-p*x+y^2-(3/4)*p^2=0);Focus(E) = F;PointOnCurve(F, l);Intersection(l, E) = {A, B};Intersection(l,G)={C,D};Abs(LineSegmentOf(A, B)) = 2*Abs(LineSegmentOf(C, D))",
+      "coords": {}
+    },
+    {
+      "index": 249,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_0249.png",
+      "answer": "x^2/1 - y^2/3 = 1",
+      "fact_expr": "P: Point;Coordinate(P) = (2, -3);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2} ;Distance(F1, F2) = 4",
+      "coords": {
+        "P": [
+          2.0,
+          -3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 250,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          2.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0250.png",
+      "answer": "{-3/4, 3/4}",
+      "fact_expr": "H: Circle;Expression(H) = (-4*y - 2*x + x^2 + y^2 + 4 = 0);G: Hyperbola;Expression(G) = (x^2 - y^2/b^2 = 1);b: Real;IsTangent(H,Asymptote(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 251,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 252,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0252.png",
+      "answer": "9/4",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);VectorOf(A, F) = 2*VectorOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 253,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0253.png",
+      "answer": "4*sqrt(2)/3",
+      "fact_expr": "m: Line;C: Ellipse;G: Point;Expression(C) = (x^2/2 + y^2 = 1);Coordinate(G) = (-1, 0);PointOnCurve(G, m);Slope(m) = 1",
+      "coords": {
+        "G": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 254,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 255,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0255.png",
+      "answer": "[-b^2,+\\infty)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 256,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.02777777798473835,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0256.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 9*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 257,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0257.png",
+      "answer": "{(-oo, -sqrt(3)/2), (sqrt(3)/2, +oo)}",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2/4 - y^2/3 = -1);O: Origin;PointOnCurve(O, H);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 258,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 259,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_0259.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2 - y^2/b^2 = 1);OneOf(Asymptote(G)) = Z;Expression(Z) = (y = 2*x);Z: Line",
+      "coords": {}
+    },
+    {
+      "index": 260,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 261,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0261.png",
+      "answer": "3/4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = x);l: Line;PointOnCurve(Focus(C), l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 2;IsChordOf(LineSegmentOf(A, B), C);G: Point;MidPoint(LineSegmentOf(A, B)) = G",
+      "coords": {}
+    },
+    {
+      "index": 262,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0262.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Intersection(l, C) = {A, B};A: Point;B: Point;M: Point;MidPoint(LineSegmentOf(A, B)) = M;Slope(l)*Slope(LineSegmentOf(O, M)) = 1;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 263,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0263.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "H: Line;Expression(H) = (y = x*(b/(2*a)));G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;B: Point;Intersection(H, LeftPart(G)) = A;Intersection(H, RightPart(G)) = B;F: Point;RightFocus(G) = F;IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 264,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0264.png",
+      "answer": "2*sqrt(6) + sqrt(3)",
+      "fact_expr": "C: Hyperbola;D: Circle;A: Point;B: Point;F: Point;Expression(C) = (x^2/3 - y^2/3 = 1);Expression(D) = (x^2 + (y + 3*sqrt(2))^2 = 3);RightFocus(C) = F;PointOnCurve(A, LeftPart(C));PointOnCurve(B, D)",
+      "coords": {}
+    },
+    {
+      "index": 265,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0265.png",
+      "answer": "1",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);C2: Hyperbola;Expression(C2) = (x^2/a^2 - y^2/b^2 = -1);a: Number;b: Number;e1: Number;e2:Number;Eccentricity(C1) = e1;Eccentricity(C2) = e2",
+      "coords": {}
+    },
+    {
+      "index": 266,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0266.png",
+      "answer": "5/3",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 3*b;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = (9/4)*a*b",
+      "coords": {}
+    },
+    {
+      "index": 267,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0267.png",
+      "answer": "-1",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 2*x);M: Point;N: Point;x1:Number;x2:Number;y1:Number;y2:Number;Coordinate(M) = (x1, y1);Coordinate(N) = (x2, y2);Intersection(l, G) = {M, N};PointOnCurve(Focus(G), l)",
+      "coords": {}
+    },
+    {
+      "index": 268,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0268.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(G) = F;O: Origin;H: Line;PointOnCurve(O, H);A: Point;P: Point;Intersection(H, G) = {A, P};IsPerpendicular(LineSegmentOf(P, F), xAxis) ;Intersection(LineOf(A, F), G) = B;B: Point;IsPerpendicular(LineSegmentOf(P, B), LineSegmentOf(P, A));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 269,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0269.png",
+      "answer": "y^2/2 - x^2/4 = 1",
+      "fact_expr": "G: Hyperbola;A: Point;H:Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(A) = (2, -2);PointOnCurve(A, H);Asymptote(G)=Asymptote(H)",
+      "coords": {
+        "A": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 270,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 271,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0271.png",
+      "answer": "-1/4",
+      "fact_expr": "m: Line;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);P1: Point;P2: Point;Intersection(m, G) = {P1, P2};P: Point;MidPoint(LineSegmentOf(P1, P2)) = P;k1: Number;k2: Number;Slope(m) = k1;Negation(k1=0);O: Origin;Slope(LineOf(O, P)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 272,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0272.png",
+      "answer": "7",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;P: Point;F: Point;Expression(G) = (x^2 = 2*y);Coordinate(P) = (1, 3);Focus(G) = F;PointOnCurve(P, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 273,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0273.png",
+      "answer": "sqrt(26)-2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);Coordinate(A) = (3, 1);PointOnCurve(P, RightPart(G));RightFocus(G)=F",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 274,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0274.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;M: Point;A: Point;B: Point;O: Origin;F: Point;Expression(G) = (y^2 = 12*x);Coordinate(M) = (-1, 0);Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);VectorOf(M,A)=lambda*VectorOf(M,B);lambda:Number;lambda>0;WhenMin(Area(TriangleOf(A,B,O))+Area(TriangleOf(A,F,O)))",
+      "coords": {
+        "M": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 275,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0275.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 276,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 277,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 278,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0278.png",
+      "answer": "4/5",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x = a/2);RightFocus(C) = F;Intersection(G, C) = {A, B};AngleOf(A, F, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 279,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0279.png",
+      "answer": "y^2=2*sqrt(2)*x",
+      "fact_expr": "G: Parabola;p: Number;H: Line;F: Point;N: Point;M: Point;D: Point;l: Line;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(F, H);Slope(H) = sqrt(3);Intersection(H, G)=M;Quadrant(M)=1;IsPerpendicular(LineSegmentOf(M,N),l);FootPoint(LineSegmentOf(M,N),l)=N;Intersection(LineOf(N,F),yAxis)=D;Abs(LineSegmentOf(M, D)) = sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 280,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0280.png",
+      "answer": "x=3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 281,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 282,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 283,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0283.png",
+      "answer": "(-oo,-3/2)+(3*sqrt(3)/8,3/2)",
+      "fact_expr": "F: Point;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F;P: Point;PointOnCurve(P, G) = True;Slope(LineOf(F, P)) > sqrt(3);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 284,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 285,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 286,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0286.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;Abs(LineSegmentOf(F1, F2)) = 2*sqrt(3);PointOnCurve(P, C);Min(DotProduct(VectorOf(P, F1), VectorOf(P, F2))) = -2",
+      "coords": {}
+    },
+    {
+      "index": 287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0287.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "A: Point;F: Point;G: Ellipse;a: Number;b: Number;B: Point;M: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);UpperVertex(G)=A;LowerVertex(G)=B;RightFocus(G)=F;Intersection(LineOf(A, F),RightDirectrix(G)) = M;IsParallel(LineOf(M,B),xAxis);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 288,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0288.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;k: Number;M: Point;N: Point;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);k>0;Expression(G) = (y = k*x);LeftFocus(C) = F;Intersection(G,C)={M,N};Quadrant(M)=1;Abs(LineSegmentOf(M, N)) = 2*sqrt(a^2 - b^2);Abs(LineSegmentOf(F, M)) <= sqrt(3)*Abs(LineSegmentOf(F, N))",
+      "coords": {}
+    },
+    {
+      "index": 289,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.753767905018077,
+        "b": 2.2935134786480793,
+        "major_axis": "x",
+        "x_coef": 14.999999999999998,
+        "y_coef": 5.000000000000001
+      },
+      "optimization": {
+        "final_loss": 0.00019830568017831433,
+        "converged": true,
+        "iterations": 62
+      },
+      "output_path": "results/train/ellipse/problem_0289.png",
+      "answer": "x^2/15 + y^2/5 = 1",
+      "fact_expr": "G: Ellipse;P: Point;Q:Point;Coordinate(P) = (sqrt(3), -2);Coordinate(Q)=(-2*sqrt(3),1);PointOnCurve(P, G);PointOnCurve(Q, G)",
+      "coords": {
+        "P": [
+          1.7320508075688772,
+          -2.0
+        ],
+        "Q": [
+          -3.4641016151377544,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 290,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0290.png",
+      "answer": "(x-2*\\sqrt{5})^2+y^2=25",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/16 = 1);RightFocus(G) = Center(H);H:Circle;Length(InterceptChord(OneOf(Asymptote(G)),H))=6",
+      "coords": {}
+    },
+    {
+      "index": 291,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0291.png",
+      "answer": "y = 0",
+      "fact_expr": "G: Parabola;H: Circle;I: Line;A: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(F) = (0, 1);Focus(G) = F;PointOnCurve(A, G);IsDiameter(LineSegmentOf(A, F), H);IsTangent(H, I)",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 292,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0292.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;O: Origin;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(P, F));Q: Point;Intersection(OverlappingLine(LineSegmentOf(F, P)), l) = Q;Area(TriangleOf(O, F, Q)) = 8*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 293,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 294,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0294.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Parabola;B: Point;A: Point;Expression(G) = (y^2 = 4*x);Coordinate(B) = (3, 2);PointOnCurve(A, G);WhenMin(Distance(A, B) + Distance(A, Focus(G)))",
+      "coords": {
+        "B": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 295,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0295.png",
+      "answer": "y^2 - x^2/3 = 1",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;H: Parabola;Expression(G) = (y^2/n + x^2/m = 1);Expression(H) = (x^2 = 8*y);Eccentricity(G) = 2;OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 296,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0296.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l) ;Intersection(l, C) = {A, B};A: Point;B: Point;Intersection(l, Directrix(C)) = P;P: Point;VectorOf(A, P) = 3*VectorOf(B, P)",
+      "coords": {}
+    },
+    {
+      "index": 297,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0297.png",
+      "answer": "16/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;m: Number;Coordinate(M) = (1, m);PointOnCurve(M, G);F: Point;Focus(G) = F;Distance(M, F) = 5;d: Number;Distance(Vertex(G), LineOf(M, F)) = d",
+      "coords": {}
+    },
+    {
+      "index": 298,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0298.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;P: Point;F: Point;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P,G);l1:Line;PointOnCurve(P,l1);IsPerpendicular(Directrix(G),l1);FootPoint(Directrix(G),l1)=M;Focus(G)=F;LineSegmentOf(P, F) = 5",
+      "coords": {}
+    },
+    {
+      "index": 299,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0299.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G)=F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 300,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0300.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, O) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 301,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_0301.png",
+      "answer": "x^2/6 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};Eccentricity(C) = sqrt(6)/2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 2*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 302,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0302.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;F1: Point;M: Point;O: Origin;N: Point;Expression(G) = (x^2/36 + y^2/16 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;Distance(M, F1) = 2;MidPoint(LineSegmentOf(M, F1)) = N",
+      "coords": {}
+    },
+    {
+      "index": 303,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0303.png",
+      "answer": "1/4",
+      "fact_expr": "G: Parabola;p: Number;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(Focus(G))=(1/8,0)",
+      "coords": {}
+    },
+    {
+      "index": 304,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 305,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_0305.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;a > b;b > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(6)/2",
+      "coords": {}
+    },
+    {
+      "index": 306,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0306.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 307,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 308,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0308.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;G: Ellipse;a: Number;b: Number;F: Point;P: Point;M: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (1, 1/2);LowerVertex(G)=P;LeftFocus(G) = F;IsParallel(LineSegmentOf(F, P),l);MidPoint(LineSegmentOf(A,B))=M;Intersection(l, G) = {A, B}",
+      "coords": {
+        "M": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 309,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0309.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;Expression(Asymptote(G)) = (y = pm*1/2*x)",
+      "coords": {}
+    },
+    {
+      "index": 310,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0310.png",
+      "answer": "18",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/3 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 311,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0311.png",
+      "answer": "4/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;M: Point;A: Point;F: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;LeftVertex(C)=A;Center(G)=F;Radius(G)=Abs(LineSegmentOf(F,A));Intersection(G,RightPart(C))={M, N};PointOnCurve(N,PerpendicularBisector(LineSegmentOf(A,M)))",
+      "coords": {}
+    },
+    {
+      "index": 312,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0312.png",
+      "answer": "{sqrt(34)/3, sqrt(34)/5}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/n + x^2/m = 1);m: Number;n: Number;Expression(Asymptote(G)) = (pm*3*y + 5*x = 0)",
+      "coords": {}
+    },
+    {
+      "index": 313,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0313.png",
+      "answer": "3/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 314,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0314.png",
+      "answer": "1",
+      "fact_expr": "M: Point;Coordinate(M) = (-1, 2);C: Parabola;Expression(C) = (y^2 = 4*x);G: Line;PointOnCurve(Focus(C), G);k: Number;Slope(G) = k;A: Point;B: Point;Intersection(G, C) = {A, B};AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 315,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "y",
+        "x_coef": 12.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0316.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;P: Point;Expression(G) = (x^2/12 + y^2/16 = 1);Coordinate(A) = (0,-2);Coordinate(B) = (0, 2);PointOnCurve(P, G);Abs(VectorOf(A, P)) - Abs(VectorOf(B, P)) = 2",
+      "coords": {
+        "A": [
+          0.0,
+          -2.0
+        ],
+        "B": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 317,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 318,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0318.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);Distance(P, LeftDirectrix(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 319,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0319.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(C))=F;OneOf(Endpoint(ImageinaryAxis(C)))=B;PointOnCurve(MidPoint(LineSegmentOf(F,B)), C)",
+      "coords": {}
+    },
+    {
+      "index": 320,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0320.png",
+      "answer": "16*pi/3",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F: Point;Expression(G) = (x^2/9 + y^2/6 = 1);RightFocus(G) = F;IsChordOf(LineSegmentOf(A, B), G);IsPerpendicular(LineSegmentOf(A, B), MajorAxis(G));WhenMax(Perimeter(TriangleOf(A, B, F)))",
+      "coords": {}
+    },
+    {
+      "index": 321,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0321.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;Expression(C) = (x^2 + 4*y^2 = 16);Expression(l) = (x + 2*y - 4 = 0);Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {}
+    },
+    {
+      "index": 322,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0322.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Z: Line;PointOnCurve(F2, Z);IsPerpendicular(Z, OneOf(Asymptote(G)));M: Point;FootPoint(Z, OneOf(Asymptote(G))) = M;Abs(VectorOf(M, F1)) = 3*Abs(VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 323,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0323.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;l1: Line;l2: Line;Expression(G) = (x^2/144 - y^2/b^2 = 1);Asymptote(G) = {l1, l2};IsPerpendicular(l1, l2)",
+      "coords": {}
+    },
+    {
+      "index": 324,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0324.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;F: Point;Focus(G) = F;M: Point;N: Point;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = pi/2;M = MidPoint(LineSegmentOf(A, B));Projection(M, Directrix(G)) = N",
+      "coords": {}
+    },
+    {
+      "index": 325,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 326,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0326.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;F2: Point;B: Point;F1: Point;l1: Line;l2: Line;a>0;b>0;L:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;OneOf(Asymptote(G))=l1;OneOf(Asymptote(G))=l2;Negation(l1=l2);PointOnCurve(F2,L);IsPerpendicular(L,l1);FootPoint(L,l1)=A;Intersection(L,l2)=B;VectorOf(A, F2) = -VectorOf(F2, B)/2",
+      "coords": {}
+    },
+    {
+      "index": 327,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0327.png",
+      "answer": "(pm*1,0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0328.png",
+      "answer": "{8,28}",
+      "fact_expr": "G: Hyperbola;M: Point;F1: Point;F2:Point;Expression(G) = (x^2/25 - y^2/9 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;Distance(M, F1) = 18;RightFocus(G)=F2",
+      "coords": {}
+    },
+    {
+      "index": 329,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 330,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0330.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);PointOnCurve(P, G);Focus(G) = {F1,F2};AngleOf(F1,P,F2)=ApplyUnit(90,degree)",
+      "coords": {}
+    },
+    {
+      "index": 331,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 332,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0332.png",
+      "answer": "{3,5}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 333,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 334,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0334.png",
+      "answer": "x^2=4*y",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = m*y);m: Number;m>0;P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;M: Point;Coordinate(M) = (0, 7);Distance(P, F) = 5;Distance(P, M) = 5",
+      "coords": {
+        "M": [
+          0.0,
+          7.0
+        ]
+      }
+    },
+    {
+      "index": 335,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0335.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/m = 1);m: Number;0 < m;m < 4;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l);A: Point;B: Point;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 336,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0336.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "A: Point;Coordinate(A) = (1, e);B: Point;Coordinate(B) = (e, sqrt(3)/2);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 337,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0337.png",
+      "answer": "{[-1-sqrt(3),0) \u222a (0,1+sqrt(3)]}",
+      "fact_expr": "l: Line;G: Ellipse;M: Point;Q: Point;N: Point;x0:Number;Expression(G) = (x^2/2 + y^2 = 1);Intersection(l,yAxis)=M;PointOnCurve(Q,l);Negation(Q=M);XCoordinate(Q) = x0;PointOnCurve(N, G);AngleOf(M, Q, N) = ApplyUnit(45, degree);Expression(l)=(y=1);Negation(x0=0)",
+      "coords": {}
+    },
+    {
+      "index": 338,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0338.png",
+      "answer": "(\\sqrt{2}-1, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);c: Number;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);a/Sin(AngleOf(P, F1, F2)) = c/Sin(AngleOf(P, F2, F1))",
+      "coords": {}
+    },
+    {
+      "index": 339,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 3.9731175899505615,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00018243117665406317,
+        "converged": true,
+        "iterations": 127
+      },
+      "output_path": "results/train/parabola/problem_0339.png",
+      "answer": "4*x+y-20=0",
+      "fact_expr": "G: Parabola;p: Number;L:Line;A: Point;F: Point;B: Point;C: Point;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (1, 4);Focus(G) = F;PointOnCurve(B,G);PointOnCurve(C,G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0;PointOnCurve(B,L);PointOnCurve(C,L);PointOnCurve(A,G)",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_0340.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 341,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0341.png",
+      "answer": "{1/2, sqrt(3)/2}",
+      "fact_expr": "A: Point;F: Point;G: Ellipse;a: Number;b: Number;P: Point;B: Point;e: Number;c: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (c, 0);RightFocus(G) = F;UpperVertex(G) = A;LowerVertex(G) = B;Intersection(LineOf(A, F), G) = P;Slope(LineSegmentOf(P, B)) = sqrt(3)/4;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 342,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0342.png",
+      "answer": "[\\sqrt{3}/2,1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;Q: Point;F2: Point;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(Q, C);AngleOf(F1, Q, F2) = ApplyUnit(120, degree);Eccentricity(C)=e;e:Number;a > b;b > 0",
+      "coords": {}
+    },
+    {
+      "index": 343,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 344,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0344.png",
+      "answer": "x^2/8+y^2/2=1",
+      "fact_expr": "T: Ellipse;Expression(T) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Length(MajorAxis(T)) = 2 * Length(MinorAxis(T));F: Point;LeftFocus(T) = F;PointOnCurve(F, G) = True;Inclination(G) = ApplyUnit(45, degree);G: Line;Intersection(G, T) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = (8*sqrt(2))/5",
+      "coords": {}
+    },
+    {
+      "index": 345,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0345.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;PointOnCurve(P, C);l: Line;Directrix(C) = l;d1: Number;Distance(P, l) = d1;G: Circle;Expression(G) = ((x + 2)^2 + (y + 4)^4 = 4);d2: Number;F: Point;PointOnCurve(F, G);Distance(P, F) = d2",
+      "coords": {}
+    },
+    {
+      "index": 346,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.8425120115280151,
+        "b": 1.6167607307434082,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3765338735538535e-05,
+        "converged": true,
+        "iterations": 54
+      },
+      "output_path": "results/train/hyperbola/problem_0346.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1);m: Number;n: Number;Eccentricity(G) = 4/3;H: Hyperbola;Expression(H) = (y^2/n^2 - x^2/m^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 347,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 348,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 349,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0349.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 350,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0350.png",
+      "answer": "24",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = -12*x);PointOnCurve(Focus(G),l);Intersection(l, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A,B))) = -9",
+      "coords": {}
+    },
+    {
+      "index": 351,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0351.png",
+      "answer": "3*sqrt(5)",
+      "fact_expr": "l: Line;C: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, C);Expression(l)=(x-2*y=0);RightFocus(C)=F2;LeftFocus(C)=F1;IsPerpendicular(OneOf(Asymptote(C)),l);Abs(LineSegmentOf(P,F1))-Abs(LineSegmentOf(P,F2))=3",
+      "coords": {}
+    },
+    {
+      "index": 352,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0352.png",
+      "answer": "pm*4*y+5*x=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (25*x^2 - 16*y^2 = 400)",
+      "coords": {}
+    },
+    {
+      "index": 353,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 354,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          -0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0354.png",
+      "answer": "6\n16/25",
+      "fact_expr": "G: Hyperbola;H: Circle;m: Number;Expression(G) = (9*x^2 - 16*y^2 = -144);Expression(H) = (m - 2*x + x^2 + y^2 = 0);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 355,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 356,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0356.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;PointOnCurve(F, H) ;Inclination(H) = pi/4;H: Line;Intersection(G, H) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 357,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 358,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0358.png",
+      "answer": "x^2+y^2=1",
+      "fact_expr": "G: Ellipse;P: Point;D: Point;E:Point;Expression(G) = (x^2 + y^2/4 = 1);PointOnCurve(P, G);PointOnCurve(P,LineSegmentOf(P,D));IsPerpendicular(LineSegmentOf(P,D),xAxis);FootPoint(LineSegmentOf(P,D),xAxis)=D;MidPoint(LineSegmentOf(P,D))=E",
+      "coords": {}
+    },
+    {
+      "index": 359,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0359.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;P: Point;Q: Point;F: Point;M: Point;N: Point;R: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,Q),l);FootPoint(LineSegmentOf(P,Q),l)=Q;MidPoint(LineSegmentOf(P,Q))=M;MidPoint(LineSegmentOf(P,F))=N;Intersection(LineSegmentOf(M,N),xAxis)=R;AngleOf(N, R, F) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 360,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0360.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (x + sqrt(3)*y = 0);IsPerpendicular(OneOf(Asymptote(C)), l);Distance(OneOf(Focus(C)), l) = 1",
+      "coords": {}
+    },
+    {
+      "index": 361,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0361.png",
+      "answer": "(4, \\pm 4\\sqrt{2})",
+      "fact_expr": "l: Line;E: Parabola;A: Point;F: Point;B: Point;Expression(E) = (y^2 = 8*x);Focus(E) = F;PointOnCurve(F, l);Intersection(l, E) = {A, B};Abs(LineSegmentOf(A, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 362,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0362.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};OneOf(Endpoint(MinorAxis(G)))=B;AngleOf(F1,B,F2)=ApplyUnit(90,degree)",
+      "coords": {}
+    },
+    {
+      "index": 363,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0363.png",
+      "answer": "y = x - 1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(P) = (2, 1);PointOnCurve(P, H);Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 364,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0364.png",
+      "answer": "3/4",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = x);PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 365,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0365.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;A: Point;O: Origin;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);l1: Line;l2: Line;Asymptote(G) = {l1, l2};Intersection(l1, Directrix(H)) = A;Intersection(l2, Directrix(H)) = B;Area(TriangleOf(A, O, B)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 366,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0366.png",
+      "answer": "x^2/4 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;I: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*(sqrt(7)*x));Coordinate(I) = (2, sqrt(3));PointOnCurve(I,OneOf(Asymptote(G)));PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {
+        "I": [
+          2.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 367,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0367.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;b: Number;G: Line;F: Point;A: Point;O: Origin;B: Point;b>0;c:Number;Expression(C) = (x^2/4 + y^2/b^2 = 1);Expression(G) = (7*x - sqrt(14)*y = 0);Coordinate(F) = (c, 0);RightFocus(C) = F;Intersection(G, C) = {A, B};Abs(VectorOf(A, O)) = Abs(VectorOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 368,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.4641016151377544,
+        "major_axis": "y",
+        "x_coef": 12.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0368.png",
+      "answer": "x+y-4=0",
+      "fact_expr": "G: Ellipse;B: Point;A: Point;N: Point;Expression(G) = (3*x^2 + y^2 = 36);Coordinate(N) = (1, 3);PointOnCurve(A, G);PointOnCurve(B, G);MidPoint(LineSegmentOf(A,B))=N",
+      "coords": {
+        "N": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 369,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0369.png",
+      "answer": "sqrt(m)",
+      "fact_expr": "l1:Line;l2:Line;l:Line;C: Parabola;A: Point;B: Point;P: Point;F: Point;m:Number;Expression(C) = (x^2 = 4*y);Focus(C) = F;PointOnCurve(F,l);Intersection(l,C)={A,B};Negation(A=B);TangentOnPoint(A,C)=l1;TangentOnPoint(B,C)=l2;Intersection(l1,l2)=P;Abs(LineSegmentOf(A, B)) = m",
+      "coords": {}
+    },
+    {
+      "index": 370,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0370.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (x^2 = -4*y);PointOnCurve(M, G);Distance(M, Focus(G)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 371,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "y",
+        "x_coef": 8.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0371.png",
+      "answer": "(0, pm*1)\n1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 372,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 8.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0372.png",
+      "answer": "{28, 4}",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/36 - y^2/64 = 1);P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (-10, 0);B: Point;Coordinate(B) = (10, 0);Abs(LineSegmentOf(P, A)) = 16",
+      "coords": {
+        "A": [
+          -10.0,
+          0.0
+        ],
+        "B": [
+          10.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 373,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0373.png",
+      "answer": "x^2 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2/2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*(sqrt(3)*x));RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 374,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0374.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;F: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;RightVertex(C) = A;MidPoint(LineSegmentOf(O,F)) = A",
+      "coords": {}
+    },
+    {
+      "index": 375,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0375.png",
+      "answer": "[sqrt(2)/2,1]",
+      "fact_expr": "C: Parabola;M: Point;F: Point;A: Point;Expression(C) = (x^2 = 3*y);Focus(C)=F;Intersection(Directrix(C),yAxis)=A;PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 376,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0376.png",
+      "answer": "5/7",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;e: Number;a > b;b > 0;O: Origin;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O, G);Intersection(C, G) = {A, B};Abs(LineSegmentOf(A, B)) = 10;Abs(LineSegmentOf(A, F)) = 6;Cos(AngleOf(A, B, F)) = 4/5;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 377,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0377.png",
+      "answer": "y^2 - x^2 = 2",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2 + y^2/2 = 1);Endpoint(MajorAxis(H)) = Vertex(G);Eccentricity(G) * Eccentricity(H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 378,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0378.png",
+      "answer": "(2, 3)",
+      "fact_expr": "P: Point;Quadrant(P) = 1;G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(P, F1) - Distance(P, F2) = 2",
+      "coords": {}
+    },
+    {
+      "index": 379,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0379.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/24 + y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 380,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_0380.png",
+      "answer": "x^2/(2/3)-y^2/2=1",
+      "fact_expr": "C: Hyperbola;G: Point;Coordinate(G) = (1, 1);PointOnCurve(G, C);Expression(OneOf(Asymptote(C))) = (y = sqrt(3)*x)",
+      "coords": {
+        "G": [
+          1.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 381,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0381.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 382,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0382.png",
+      "answer": "8\n12",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Expression(H) = (y^2 + (x + 4)^2 = 1);Expression(C) = ((x-4)^2+y^2=1);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 383,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0383.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Hyperbola;a: Number;G: Parabola;m: Real;a>0;Expression(C) = (-y^2/4 + x^2/a^2 = 1);Expression(G) = (y^2 = 2*(m*x));Eccentricity(C) = 3/5;LeftFocus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 384,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 385,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_0385.png",
+      "answer": "y=pm*sqrt(2)*x/2",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;C2: Hyperbola;Expression(C2)=(-y^2/b^2+x^2/a^2=1);Eccentricity(C1)*Eccentricity(C2) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 386,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0386.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(H, OneOf(Asymptote(G)));H: Point;Coordinate(H) = (4, 4*sqrt(3))",
+      "coords": {
+        "H": [
+          4.0,
+          6.928203230275509
+        ]
+      }
+    },
+    {
+      "index": 387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0387.png",
+      "answer": "{(sqrt(15)/2,1),(-sqrt(15)/2,1),(sqrt(15)/2,-1),(-sqrt(15)/2,-1)}",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(P, G) = True;Focus(G) = {F1, F2};F1: Point;F2: Point;Area(TriangleOf(P, F1, F2)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 388,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_0388.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "F1: Point;F2: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;Coordinate(M) = (3, sqrt(2));PointOnCurve(M, C) = True;Distance(F2, LineOf(M, F1)) = 4*sqrt(6)/9",
+      "coords": {
+        "M": [
+          3.0,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 389,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0389.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;c: Number;FocalLength(G) = 2*c;A: Point;RightVertex(G) = A;H: Parabola;Expression(H) = (x^2 = 2*(p*y));p: Number;p>0;F: Point;Focus(H) = F;Length(InterceptChord(Directrix(H), G)) = 2*c;Abs(LineSegmentOf(F, A)) = c",
+      "coords": {}
+    },
+    {
+      "index": 390,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0390.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;B: Point;Expression(C) = (y^2 = 8*x);Coordinate(M) = (-2, 2);k:Number;PointOnCurve(Focus(C), G);Slope(G) = k;Intersection(G, C) = {A, B};DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 391,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 392,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 393,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 394,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0394.png",
+      "answer": "(\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;O: Origin;A1: Point;A2: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A1;RightVertex(G) = A2;PointOnCurve(P,G);Negation(A1=P);Negation(A2=P);DotProduct(VectorOf(P, O), VectorOf(P, A1)) = 0;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 395,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0395.png",
+      "answer": "2",
+      "fact_expr": "Q: Point;Coordinate(Q) = (2*sqrt(2), 0);G: Parabola;Expression(G) = (y = x^2/4);P: Point;x1: Number;y1: Number;Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 396,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0396.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;B: Point;F2: Point;A: Point;F1: Point;0 < b;b < 2;Expression(G) = (x^2/4 + y^2/b^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B};Max(Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2))) = 5",
+      "coords": {}
+    },
+    {
+      "index": 397,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0397.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2 + 2*y^2 = 4);F1:Point;F2:Point;P:Point;Focus(C)={F1,F2};OneOf(Endpoint(MinorAxis(C)))=P",
+      "coords": {}
+    },
+    {
+      "index": 398,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch;ellipse_point_off_curve",
+      "params": {
+        "a": 2.5848636627197266,
+        "b": 2.4273612433297647,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.9079626818174794e-06,
+        "converged": true,
+        "iterations": 111
+      },
+      "output_path": "results/train/ellipse/problem_0398.png",
+      "answer": "x^2/18+y^2/9^2=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Point;F: Point;a>0;b>0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (-3, (3*sqrt(2))/2);Coordinate(F) = (3, 0);RightFocus(C) = F;PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          -3.0,
+          2.121320343559643
+        ],
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch",
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 399,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0399.png",
+      "answer": "2*x-3*y+25=0",
+      "fact_expr": "l: Line;C: Circle;M: Point;A: Point;B: Point;Q:Point;Expression(C) = (x^2 + y^2 = 25);Coordinate(M) = (-2, 3);PointOnCurve(M, l);Intersection(l, C) = {A, B};L1:Line;L2:Line;TangentOfPoint(A,C)=L1;TangentOfPoint(B,C)=L2;Intersection(L1,L2)=Q",
+      "coords": {}
+    },
+    {
+      "index": 400,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0400.png",
+      "answer": "pm*1",
+      "fact_expr": "l: Line;G: Hyperbola;H: Circle;A: Point;B: Point;m: Number;Expression(G) = (x^2 - y^2/2 = 1);Expression(H) = (x^2 + y^2 = 5);Expression(l) = (m + x - y = 0);Intersection(l, G) = {A, B};Negation(A=B);PointOnCurve(MidPoint(LineSegmentOf(A,B)), H)",
+      "coords": {}
+    },
+    {
+      "index": 401,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0401.png",
+      "answer": "16",
+      "fact_expr": "C: Hyperbola;b: Number;P: Point;F: Point;M: Point;b>0;Expression(C) = (x^2/4 - y^2/b^2 = 1);Coordinate(P) = (0, b);LeftFocus(C)=F;Distance(F,OneOf(Asymptote(C)))=4;PointOnCurve(M, RightPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 402,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0402.png",
+      "answer": "(0, pm*2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Area(TriangleOf(P, F1, F2)) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 403,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0403.png",
+      "answer": "(6-4*sqrt(2),6+4*sqrt(2))",
+      "fact_expr": "C: Parabola;A: Point;F: Point;M: Point;N: Point;a: Real;l:Line;Expression(C) = (y^2 = 8*x);Focus(C)=F;Coordinate(A) = (a, 0);PointOnCurve(A,l);Intersection(l,C)={M,N};Negation(M=N);DotProduct(VectorOf(F,M),VectorOf(F,N))<0",
+      "coords": {}
+    },
+    {
+      "index": 404,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 405,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0009275674819946,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 1.0271783139614854e-06,
+        "converged": true,
+        "iterations": 82
+      },
+      "output_path": "results/train/parabola/problem_0405.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;M: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (2, 2*sqrt(2));PointOnCurve(M, G);Focus(G) = F",
+      "coords": {
+        "M": [
+          2.0,
+          2.8284271247461903
+        ]
+      }
+    },
+    {
+      "index": 406,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0406.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Parabola;H: Ellipse;O: Origin;Expression(H) = (4*x^2 + y^2 = 1);Vertex(G) = O;Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 407,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0407.png",
+      "answer": "8/3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 3*VectorOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 408,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0409.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);XCoordinate(P) = 2",
+      "coords": {}
+    },
+    {
+      "index": 410,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_0410.png",
+      "answer": "y^2/4-x^2=1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (1, 2*sqrt(2));PointOnCurve(H, G);Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {
+        "H": [
+          1.0,
+          2.8284271247461903
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 411,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0411.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;a: Number;A: Point;B: Point;F:Point;a>0;Expression(G) = (y = a*x^2);Coordinate(F)=(0, 2) ;Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B}",
+      "coords": {
+        "F": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 412,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 413,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0413.png",
+      "answer": "7",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/16 + y^2/7 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;O: Origin;P: Point;PointOnCurve(P, C) = True;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 414,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0414.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/6 + y^2/4 = 1);RightFocus(G)=RightVertex(H);RightFocus(H)=RightVertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 415,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0415.png",
+      "answer": "[-sqrt(3)/3,sqrt(3)/3]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/12 - y^2/4 = 1);H: Line;F: Point;RightFocus(C) = F;PointOnCurve(F,H);NumIntersection(H,RightPart(C))=1",
+      "coords": {}
+    },
+    {
+      "index": 416,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 417,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0417.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 418,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 419,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0419.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "C: Circle;Expression(C) = (-2*y - 8*x + x^2 + y^2 + 16 = 0);A: Point;B: Point;PointOnCurve(A, C) = True;PointOnCurve(B, C) = True;P: Point;G: Parabola;Expression(G) = (x^2 = 2*y);PointOnCurve(P, G) = True;WhenMax(AngleOf(A, P, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 420,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0420.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 11",
+      "coords": {}
+    },
+    {
+      "index": 421,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 422,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0422.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "l: Line;G: Parabola;H: Circle;A: Point;B: Point;P: Point;Expression(G) = (x^2 = 4*y);Slope(l) = 1/2;PointOnCurve(Focus(G), l);Intersection(l, G) = {A, B};IsDiameter(LineSegmentOf(A, B), H);TangentPoint(H, Directrix(G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 423,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0423.png",
+      "answer": "5-sqrt(2)",
+      "fact_expr": "C: Parabola;G: Line;m: Number;P: Point;Q: Point;F: Point;l: Line;Expression(C) = (y^2 = 8*x);Expression(G) = (-4*m + x*(m + 1) + y - 6 = 0);Focus(C) = F;PointOnCurve(P, C);PointOnCurve(F, l);IsPerpendicular(l,G);FootPoint(l,G)=Q",
+      "coords": {}
+    },
+    {
+      "index": 424,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0424.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;M: Point;A: Point;B: Point;Expression(G) = (y = x^2);Coordinate(M) = (1, 2);Expression(l)=(x-y+1=0);Intersection(l, G) = {A, B}",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 425,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0425.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;x0:Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (x0, 2);Focus(G) = F;Intersection(Directrix(G), xAxis) = B;PointOnCurve(A,G);Abs(LineSegmentOf(A,B))=sqrt(2)*Abs(LineSegmentOf(A,F))",
+      "coords": {}
+    },
+    {
+      "index": 426,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 427,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 428,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0428.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Circle;Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(Directrix(G),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 429,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0429.png",
+      "answer": "(0,\\sqrt{2}/2]",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;B1: Point;B2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Endpoint(MinorAxis(C))={B1,B2};PointOnCurve(P, C);Abs(LineSegmentOf(P, B1)) <= Abs(LineSegmentOf(B1, B2))",
+      "coords": {}
+    },
+    {
+      "index": 430,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0430.png",
+      "answer": "(2,0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 431,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0431.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;M: Point;x0:Number;y0:Number;x0>0;y0>0;F2: Point;Expression(C) = (x^2/4 - y^2/5 = 1);Coordinate(M) = (2, 1);Coordinate(P) = (x0, y0);LeftFocus(C) =F1;RightFocus(C)=F2;DotProduct(VectorOf(P, F1), VectorOf(M, F1))/Abs(VectorOf(P, F2)) = DotProduct(VectorOf(F2, F1), VectorOf(M, F1))/Abs(VectorOf(F2, F1))",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 432,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0432.png",
+      "answer": "(1,\\sqrt{2}]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-4*x + x^2 + y^2 + 2 = 0);IsIntersect(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 433,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 434,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0434.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;OneOf(Focus(G))=F1;M: Point;PointOnCurve(M,G);Abs(LineSegmentOf(M, F1)) = 2;O: Origin;N: Point;MidPoint(LineSegmentOf(M,F1)) = N",
+      "coords": {}
+    },
+    {
+      "index": 435,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0435.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F: Point;A:Point;B:Point;a>0;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,F),xAxis);IsParallel(LineSegmentOf(O,P),LineSegmentOf(A,B));RightVertex(G)=A;UpperVertex(G)=B;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 436,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_0436.png",
+      "answer": "9, 16",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/12 + y^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 437,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 438,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0438.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;B1: Point;B2: Point;UpperVertex(G) = B1;LowerVertex(G) = B2;C: Point;MidPoint(LineSegmentOf(B1, F2)) = C;DotProduct(VectorOf(B1, F1), VectorOf(B1, F2)) = 2;IsPerpendicular(LineSegmentOf(C, F1), LineSegmentOf(B1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 439,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.242640687119285,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 18.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0439.png",
+      "answer": "[1/5, 5]",
+      "fact_expr": "P: Point;Coordinate(P) = (0, 9/2);G: Ellipse;Expression(G) = (x^2/18 + y^2/9 = 1);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);lambda: Number;VectorOf(P, A) = lambda*VectorOf(P, B)",
+      "coords": {
+        "P": [
+          0.0,
+          4.5
+        ]
+      }
+    },
+    {
+      "index": 440,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0440.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;Focus(G) = {F1, F2};Expression(G) = (x^2/3 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 441,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0441.png",
+      "answer": "3/2",
+      "fact_expr": "M: Point;Coordinate(M) = (1/2, 0);l: Line;PointOnCurve(M, l);G: Parabola;Expression(G) = (y^2 = 2*x);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Coordinate(C) = (2, 0)",
+      "coords": {
+        "M": [
+          0.5,
+          0.0
+        ],
+        "C": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 442,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0442.png",
+      "answer": "{3, 15}",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 9",
+      "coords": {}
+    },
+    {
+      "index": 443,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0443.png",
+      "answer": "x^2/8+y^2/4=1",
+      "fact_expr": "G: Parabola;H: Ellipse;O: Origin;Expression(G) = (y^2 = 8*x);Center(H) = O;OneOf(Focus(H)) = Focus(G);Coordinate(OneOf(Vertex(H)))=(0,2)",
+      "coords": {}
+    },
+    {
+      "index": 444,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_0444.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (2, 3);PointOnCurve(H, G);Expression(Asymptote(G)) = (y = pm*(sqrt(3)*x))",
+      "coords": {
+        "H": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 445,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 446,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0446.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;A: Point;B: Point;F1: Point;F2: Point;0 < b;b < 1;Expression(C) = (x^2 + y^2/b^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, l);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 447,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0447.png",
+      "answer": "(0,5/2)",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;p>0;x0:Number;Expression(C) = (x^2 = 2*p*y);Coordinate(B) = (0, -p/2);Coordinate(A) = (x0, p/2);PointOnCurve(A, C);Abs(LineSegmentOf(A, B)) = 5*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 448,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 449,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0449.png",
+      "answer": "pm*4",
+      "fact_expr": "C: Parabola;p: Number;A: Point;p>0;Expression(C) = (x^2 = 2*p*y);Coordinate(A) = (m, 4);PointOnCurve(A, C);Distance(A, Focus(C)) = 5;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 450,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0450.png",
+      "answer": "-4/5",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2:Point;I: Point;lambda:Number;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Incenter(TriangleOf(P,F1,F2)) = I;Area(TriangleOf(I,P,F1)) =Area(TriangleOf(I,P,F2))- lambda*Area(TriangleOf(I,F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 451,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 452,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.8087351322174072,
+        "b": 1.3174467086791992,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.625325568165863e-06,
+        "converged": true,
+        "iterations": 78
+      },
+      "output_path": "results/train/hyperbola/problem_0452.png",
+      "answer": "16",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-sqrt(5), 0);Coordinate(F2) = (sqrt(5), 0);Expression(Asymptote(C)) = (y = pm*(x/2));LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C))",
+      "coords": {
+        "F1": [
+          -2.23606797749979,
+          0.0
+        ],
+        "F2": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 453,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0453.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "l: Line;G: Ellipse;a: Number;b: Number;M: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (1, 1);PointOnCurve(M, l);Slope(l) = -1/3;Intersection(l, G) = {A, B};VectorOf(A, M) = VectorOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 454,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 455,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 456,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0456.png",
+      "answer": "(3,0)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/6 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 457,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 458,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0458.png",
+      "answer": "{8/3, 8}",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/4 - y^2/5 = 1);PointOnCurve(P, G) ;Distance(P, RightFocus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 459,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 460,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0460.png",
+      "answer": "16/5",
+      "fact_expr": "l1: Line;Expression(l1) = (4*x - 3*y + 12 = 0);l2: Line;Expression(l2) = (x = -1);G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 461,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0461.png",
+      "answer": "(pm*3, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 462,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 463,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 464,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.5030499696731567,
+        "b": 2.00545072555542,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3176339734854992e-06,
+        "converged": true,
+        "iterations": 109
+      },
+      "output_path": "results/train/hyperbola/problem_0464.png",
+      "answer": "y=pm*(4/3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = 5/3",
+      "coords": {}
+    },
+    {
+      "index": 465,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0465.png",
+      "answer": "(1, \\sqrt{2}]",
+      "fact_expr": "H: Line;Expression(H) = (y = x);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;NumIntersection(H, G) = 0",
+      "coords": {}
+    },
+    {
+      "index": 466,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0466.png",
+      "answer": "-5",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;P: Point;l: Line;lambda:Number;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Directrix(G) = l;PointOnCurve(F, H);Intersection(H, G) = {A,B};Quadrant(B)=1;Intersection(H, l) = P;VectorOf(A, F) = (2/3)*VectorOf(F, B);VectorOf(A, P) = lambda*VectorOf(A, F)",
+      "coords": {}
+    },
+    {
+      "index": 467,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0467.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;b: Number;A: Point;B: Point;F: Point;0 < b;b < 2;Expression(G) = (x^2/4 + y^2/b^2 = 1);Intersection(G, yAxis) = {A, B};OneOf(Focus(G)) = F",
+      "coords": {}
+    },
+    {
+      "index": 468,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0468.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;c: Number;Coordinate(F) = (c, 0);RightFocus(C) = F;G: Circle;Center(G) = F;Radius(G) = a;A: Point;B: Point;Intersection(G, OneOf(Asymptote(C))) = {A, B};Abs(LineSegmentOf(A, B)) = (2/3)*c",
+      "coords": {}
+    },
+    {
+      "index": 469,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0469.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Slope(l)=sqrt(3);Focus(G)=F;PointOnCurve(F,l);Intersection(l,G)={A,B};Quadrant(A)=1",
+      "coords": {}
+    },
+    {
+      "index": 470,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0470.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (x^2/9 + y^2/4 = 1);Focus(H)={F1,F2};Focus(G)={F1,F2};OneOf(Intersection(H, G)) =P",
+      "coords": {}
+    },
+    {
+      "index": 471,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0471.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (-x^2 + y^2/m = 1);Expression(H) = (x^2 = 8*y);Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 472,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0472.png",
+      "answer": "y^2/4 - x^2/16 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;C:Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(H) = (2, sqrt(5));Asymptote(C) = Asymptote(G);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          2.0,
+          2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 473,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 474,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 475,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0475.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y^2 + (x - 5)^2 = 1);PointOnCurve(P, G);PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 476,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0476.png",
+      "answer": "-1/2",
+      "fact_expr": "l: Line;G: Ellipse;O: Origin;P: Point;P1: Point;P2: Point;M: Point;k1:Number;k2:Number;Negation(k1 = 0);Expression(G) = (x^2 + 2*y^2 = 2);Coordinate(M) = (-2, 0);PointOnCurve(M, l);Intersection(l, G) = {P1, P2};MidPoint(LineSegmentOf(P1, P2)) = P;Slope(l) = k1;Slope(LineOf(O, P)) = k2",
+      "coords": {
+        "M": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 477,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0477.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,F2),xAxis);Sin(AngleOf(P,F1,F2))=1/3",
+      "coords": {}
+    },
+    {
+      "index": 478,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0478.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;Q: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(Q, G);Min(Distance(Q, Focus(G))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 479,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0479.png",
+      "answer": "5/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);M: Point;PointOnCurve(M, G);Distance(M, RightFocus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0480.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 481,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0481.png",
+      "answer": "x^2/(9/4)-y^2/4=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);Z: Hyperbola;Asymptote(Z) = Asymptote(G);H: Point;Coordinate(H) = (-3,2*sqrt(3));PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          -3.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 482,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0482.png",
+      "answer": "31/16",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y = 4*x^2);Coordinate(P) = (x0, y0);Focus(G) = F;PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 2;x0:Number;y0:Number",
+      "coords": {}
+    },
+    {
+      "index": 483,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0483.png",
+      "answer": "5/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (4*x-5*y = 20);PointOnCurve(OneOf(Focus(C)),l);PointOnCurve(OneOf(Endpoint(ImageinaryAxis(C))),l)",
+      "coords": {}
+    },
+    {
+      "index": 484,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0484.png",
+      "answer": "y=pm*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;H: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;L:Line;PointOnCurve(F2,L);IsPerpendicular(OneOf(Asymptote(C)),L);FootPoint(L,OneOf(Asymptote(C)))=H;Area(TriangleOf(F1, H, F2)) = b^2",
+      "coords": {}
+    },
+    {
+      "index": 485,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 486,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0486.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Slope(l)=1;PointOnCurve(F,l);Focus(G)=F;F: Point;Intersection(l,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 487,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 488,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0488.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 2);IsTangent(Asymptote(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 489,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0489.png",
+      "answer": "9",
+      "fact_expr": "C: Ellipse;F1: Point;P: Point;F2: Point;Expression(C) = (x^2/25 + y^2/9 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(F1, P), LineSegmentOf(F2, P))",
+      "coords": {}
+    },
+    {
+      "index": 490,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_0490.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/2 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 491,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_0491.png",
+      "answer": "3/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/(3 - n) + x^2/n = 1);n: Number;Expression(Asymptote(G)) = (y=pm*2*x)",
+      "coords": {}
+    },
+    {
+      "index": 492,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0492.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Coordinate(A) = (1, 4);LeftFocus(G) = F;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 493,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 494,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_0494.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Point;Coordinate(H) = (1, 2);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 495,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0495.png",
+      "answer": "1/2",
+      "fact_expr": "O: Origin;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;A: Point;PointOnCurve(A, C)  ;IsPerpendicular(LineSegmentOf(A, F), xAxis) ;Area(TriangleOf(F, A, O)) = b^2/4",
+      "coords": {}
+    },
+    {
+      "index": 496,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0496.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = (4/3)*x);RightFocus(C) = F;Intersection(G, C) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 497,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 498,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0498.png",
+      "answer": "2*sqrt(7)/3",
+      "fact_expr": "C: Parabola;G: Line;P: Point;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Coordinate(P) = (-2, 0);PointOnCurve(P, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(A, B))/2;O:Origin",
+      "coords": {
+        "P": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 499,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0499.png",
+      "answer": "18/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F2, H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 500,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 501,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0501.png",
+      "answer": "{pi/3,(2*pi)/3}",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 8*x);Expression(l) = (y = k*(x - 2));Intersection(l, C) = {A, B};Focus(C) = F;Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F));k:Number",
+      "coords": {}
+    },
+    {
+      "index": 502,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0502.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (x^2 = 8*y);Slope(H)=1/2;PointOnCurve(Focus(G),H);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 503,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0503.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;Expression(G) = (-y^2/2 + x^2/a = 1);Expression(H) = (x^2/4 + y^2/a^2 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 504,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_0504.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;P:Point;O:Origin;Coordinate(P) = (1, 3);Expression(OneOf(Asymptote(G))) = (y = 2*x);PointOnCurve(Focus(G),axis);Center(G)=O;PointOnCurve(P,G)",
+      "coords": {
+        "P": [
+          1.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 505,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0505.png",
+      "answer": "16/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};XCoordinate(A) + XCoordinate(B) = 10/3",
+      "coords": {}
+    },
+    {
+      "index": 506,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0506.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;L:Line;PointOnCurve(F1, L);IsPerpendicular(L,xAxis);Intersection(L, G) = P;RightFocus(G)=F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 507,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0507.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;M: Point;Coordinate(M) = (a*(sqrt(2)/2), b*(sqrt(2)/2));PointOnCurve(M, C);F: Point;RightFocus(C) = F;B: Point;UpperVertex(C) = B;O: Origin;Area(TriangleOf(B, F, O)) = sqrt(2)*Area(TriangleOf(B, F, M))",
+      "coords": {}
+    },
+    {
+      "index": 508,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0508.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;F1: Point;M: Point;N: Point;b>0;Expression(C) = (x^2/4 - y^2/b^2 = 1);LeftFocus(C)=F1;PointOnCurve(F1, l);Intersection(l,LeftPart(C)) = {M, N};IsPerpendicular(l,xAxis);Abs(LineSegmentOf(M,N))=3;F2:Point;RightFocus(C)=F2",
+      "coords": {}
+    },
+    {
+      "index": 509,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 510,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0510.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;p>0;Expression(G) = (x^2/5 - y^2/4 = 1);Expression(H) = (y^2 = 2*p*x);PointOnCurve(LeftFocus(G),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 511,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0511.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(4*x-3*y=0);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 512,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 513,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0513.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Distance(Focus(H),Asymptote(G)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 514,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0514.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/4 + x^2/a^2 = 1);a: Number;a>0;F: Point;OneOf(Focus(G)) = F;Coordinate(F) = (-sqrt(5), 0)",
+      "coords": {
+        "F": [
+          -2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 515,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0515.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/5 + y^2/4 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 516,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0516.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "l: Line;C: Ellipse;F1: Point;A: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);Expression(l) = (y = x - 1);LeftFocus(C) = F1;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 517,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0517.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (2*sqrt(2), 0);OneOf(Focus(G))=H;Expression(Asymptote(G)) = (y = pm*x)",
+      "coords": {
+        "H": [
+          2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 518,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0518.png",
+      "answer": "y=pm*3*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 519,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0519.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A: Point;RightVertex(C) = A;Z: Line;PointOnCurve(F, Z);IsPerpendicular(Z, xAxis);P: Point;Intersection(Z, C) = P;Slope(LineOf(A, P)) = sqrt(3)*Slope(OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 520,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 521,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 522,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0522.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 1);p>0;Expression(H) = (y^2 = 2*p*x);PointOnCurve(LeftVertex(G),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 523,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0523.png",
+      "answer": "{18, 2}",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);PointOnCurve(P, G);Distance(P, F1) = 10;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 524,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "y",
+        "x_coef": 16.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0524.png",
+      "answer": "20",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/16 + y^2/25 = 1);L: Line;PointOnCurve(F1, L);M: Point;N: Point;Intersection(L, G) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 525,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0525.png",
+      "answer": "(2, 1)",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;Expression(G) = (x^2/2 - y^2 = 1);Slope(l) = 1;TangentPoint(l, G) = A;Quadrant(A) = 1",
+      "coords": {}
+    },
+    {
+      "index": 526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0526.png",
+      "answer": "y^2=-4*x",
+      "fact_expr": "G: Parabola;F: Point;Coordinate(F) = (-1, 0);Focus(G)=F",
+      "coords": {
+        "F": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 527,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0527.png",
+      "answer": "4/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);M: Point;N: Point;PointOnCurve(M, G);PointOnCurve(N, G);IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(O, N));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0528.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;l: Line;K: Point;P: Point;F: Point;x1:Number;y1:Number;y1>0;Expression(C) = (y^2 = 4*x);Coordinate(P) = (x1, y1);Focus(C) = F;Directrix(C)=l;Intersection(l, xAxis) = K;PointOnCurve(P, C);WhenMax(Abs(LineSegmentOf(P,K))/Abs(LineSegmentOf(P,F)))",
+      "coords": {}
+    },
+    {
+      "index": 529,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0529.png",
+      "answer": "(2*sqrt(7))/7",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);B: Point;UpperVertex(C) = B;O1: Circle;r: Number;Expression(O1) = (x^2 + y^2 = r^2);0 < r;r < 6/7;l: Line;TangentOfPoint(B, O1) = l;Q: Point;OneOf(Intersection(l, C)) = Q;O: Origin;LineSegmentOf(O, Q) = sqrt(13)/2",
+      "coords": {}
+    },
+    {
+      "index": 530,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0530.png",
+      "answer": "2*sqrt(2)-5",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;PointOnCurve(M,C) = True;E: Circle;Expression(E) = ((x - 3)^2 + (y - 2)^2 = 1);N: Point;PointOnCurve(N,E) = True",
+      "coords": {}
+    },
+    {
+      "index": 531,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0531.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P,F1))=4*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 532,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0532.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;c: Number;F: Point;O: Origin;d: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (c, 0);OneOf(Focus(C)) = F;Distance(F, Asymptote(C)) = d;Abs(LineSegmentOf(O, F)) = 2*d",
+      "coords": {}
+    },
+    {
+      "index": 533,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0533.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = 2;G: Line;Expression(G) = (x + y + 2 = 0);PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 534,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0534.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 535,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0535.png",
+      "answer": "9",
+      "fact_expr": "E: Hyperbola;F1: Point;F2: Point;P: Point;LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, E);Expression(E) = (x^2/4 - y^2/9 = 1);Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 536,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0536.png",
+      "answer": "(\\sqrt{3} + 1)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;A: Point;B: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, RightPart(C));PointOnCurve(B, RightPart(C));Circumcenter(TriangleOf(F1, A, B)) = F2;DotProduct((VectorOf(B, A) + VectorOf(B, F1)), VectorOf(A, F1)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 537,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0537.png",
+      "answer": "4/3",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (x^2/16 + y^2/7 = 1);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);LeftFocus(G) = F1;RightFocus(G) = F2;IsChordOf(LineSegmentOf(A, B),G);PointOnCurve(F1, LineSegmentOf(A, B));Perimeter(InscribedCircle(TriangleOf(A, B, F2))) = pi",
+      "coords": {}
+    },
+    {
+      "index": 538,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0538.png",
+      "answer": "sqrt(5)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;Q: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Quadrant(P)=1;PointOnCurve(P,Asymptote(G));AngleOf(F1, P, F2) = pi/2;Intersection(LineOf(P,F1), LeftPart(G)) = Q;MidPoint(LineSegmentOf(P,F1)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 539,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 540,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0540.png",
+      "answer": "8",
+      "fact_expr": "E: Parabola;Expression(E) = (x^2 = 4*y);G: Line;Expression(G) = (y = x + 1);P: Point;Q: Point;Intersection(G, E) = {P, Q};IsChordOf(LineSegmentOf(P, Q), E)",
+      "coords": {}
+    },
+    {
+      "index": 541,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0541.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;RightFocus(G) = F1;l1: Line;RightDirectrix(G) = l1;L: LineSegment;PointOnCurve(F1, L);IsPerpendicular(L, xAxis);IsChordOf(L, G);Length(L) = Distance(F1, l1)",
+      "coords": {}
+    },
+    {
+      "index": 542,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0542.png",
+      "answer": "y^2/12 - x^2/27 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2/9 - y^2/4 = 1);Coordinate(H) = (-3, 4);Asymptote(C) = Asymptote(G);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          -3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 543,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0543.png",
+      "answer": "2+2*sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;H: Ellipse;Expression(H) = (x^2/3 + y^2/4 = 1);C: Circle;M: Point;B: Point;A: Point;F: Point;l:Line;L:Line;Focus(G)=F;OneOf(Focus(H))=F;Directrix(G)=l;Intersection(l,yAxis)=M;PointOnCurve(F,L);Intersection(L, G) = {A, B};IsDiameter(LineSegmentOf(B,M),C);PointOnCurve(A, C)",
+      "coords": {}
+    },
+    {
+      "index": 544,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0544.png",
+      "answer": "x^2+(y-1)^2=1/5",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (x^2 = 4*y);Focus(G) = Center(H);C:Curve;Expression(C)=(y^2/4-x^2=1);IsTangent(H,Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 545,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0545.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 546,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0546.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-4*x + x^2 + y^2 + 2 = 0);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 547,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_0547.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (sqrt(2), 2);Expression(Asymptote(G))=(y=pm*2*x);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          1.4142135623730951,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 548,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0548.png",
+      "answer": "y=pm*(sqrt(5)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 549,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0549.png",
+      "answer": "(3*sqrt(2)+sqrt(10))/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;F1: Point;A: Point;F2: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(O, G);Slope(G)=sqrt(3);Intersection(G, RightPart(C)) = A;AngleOf(F1, A, F2) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 550,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 551,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0551.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 552,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 553,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0553.png",
+      "answer": "16*sqrt(3)/3",
+      "fact_expr": "C: Parabola;G: Line;O: Origin;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(60, degree);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 554,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 555,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0555.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Real;H: Ellipse;Expression(G) = (-y^2/2 + x^2/a = 1);Expression(H) = (x^2/4 + y^2/a^2 = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 556,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0556.png",
+      "answer": "y=pm*((1+(sqrt(3)/3))*x)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Circle;Expression(H) = (x^2 + y^2 = a^2);L: Line;TangentOfPoint(F2, H) = L;M: Point;Intersection(L, LeftPart(G)) = M;AngleOf(F1, M, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 557,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0557.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;Q: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);Intersection(OverlappingLine(LineSegmentOf(P, F1)), C) = Q",
+      "coords": {}
+    },
+    {
+      "index": 558,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0558.png",
+      "answer": "64/3",
+      "fact_expr": "l: Line;C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 16*x);Expression(G) = (x + sqrt(3)*y - 1 = 0);Focus(C) = F;PointOnCurve(F,l);IsPerpendicular(l,G);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 559,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0559.png",
+      "answer": "8*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;O: Origin;M: Point;N: Point;Expression(C) = (y^2 = 4*x);Intersection(l, C) = {M, N};Slope(LineSegmentOf(O, M))*Slope(LineSegmentOf(O, N)) = -1/2",
+      "coords": {}
+    },
+    {
+      "index": 560,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0560.png",
+      "answer": "120*sqrt(3)/11",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);F: Point;RightFocus(G) = F;P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (0, 3*sqrt(3));WhenMax(Perimeter(TriangleOf(A, P, F)))",
+      "coords": {
+        "A": [
+          0.0,
+          5.196152422706632
+        ]
+      }
+    },
+    {
+      "index": 561,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0561.png",
+      "answer": "10+sqrt(26)",
+      "fact_expr": "G: Ellipse;P: Point;A: Point;F1:Point;F2: Point;Coordinate(A) = (2, 1);Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G)",
+      "coords": {
+        "A": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 562,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0562.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;L: Line;B: Point;A: Point;M: Point;Expression(C) = (x^2/6 + y^2/3 = 1);Coordinate(M) = (-1, 1);Slope(L)=k;k:Number;Intersection(L, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 563,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 564,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0564.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;Expression(H) = (sqrt(3)*x - y - sqrt(3) = 0);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;F: Point;Intersection(H,xAxis) = F;lambda: Number;mu: Number;VectorOf(O, F) = lambda*VectorOf(O, A) + mu*VectorOf(O, B)",
+      "coords": {}
+    },
+    {
+      "index": 565,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 566,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0566.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;l: Line;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);PointOnCurve(P, l);IsPerpendicular(l, Directrix(G));FootPoint(l, Directrix(G)) = M;Abs(LineSegmentOf(P, M)) = 5;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 567,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0567.png",
+      "answer": "x=-1/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Intersection(H, G) = {P, Q};P: Point;Q: Point;1/Abs(LineSegmentOf(P, F)) + 1/Abs(LineSegmentOf(F, Q)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 568,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0568.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};E: Point;Intersection(l, Directrix(G)) = E;MidPoint(LineSegmentOf(A, E)) = F;Abs(LineSegmentOf(B, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 569,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 570,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0570.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;M: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Vertex(C)={M,N};PointOnCurve(P,C);Slope(LineOf(P, N))*Slope(LineOf(P,M)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 571,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0571.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;F: Point;P: Point;M: Point;N: Point;l: Line;Expression(C) = (y^2=8*x);Focus(C) = F;Directrix(C)=l;PointOnCurve(P, l);Intersection(LineOf(P,F),C)={M,N};VectorOf(P,M)=3*VectorOf(M,F)",
+      "coords": {}
+    },
+    {
+      "index": 572,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0572.png",
+      "answer": "[1/2, sqrt(3)/3]",
+      "fact_expr": "F1: Point;Coordinate(F1) = (-c, 0);c: Number;F2: Point;Coordinate(F2) = (c, 0);C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 2*c^2",
+      "coords": {}
+    },
+    {
+      "index": 573,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0573.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;A: Point;B: Point;C: Point;D: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G),LineSegmentOf(A,B));PointOnCurve(Focus(G),LineSegmentOf(C,D));IsChordOf(LineSegmentOf(A,B),G);IsChordOf(LineSegmentOf(C,D),G);IsPerpendicular(LineSegmentOf(A,B),LineSegmentOf(C,D))",
+      "coords": {}
+    },
+    {
+      "index": 574,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0574.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (x^2 = 8*y);Coordinate(A) = (2, 0);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 575,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0575.png",
+      "answer": "6-2*sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/2 - y^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F1, l);A: Point;Intersection(l, LeftPart(C)) = A;B: Point;Intersection(l, RightPart(C)) = B;IsPerpendicular(l, LineSegmentOf(F2, B))",
+      "coords": {}
+    },
+    {
+      "index": 576,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 577,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 578,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 579,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0579.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 580,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0580.png",
+      "answer": "8/5",
+      "fact_expr": "H: Point;Coordinate(H) = (0, 2);G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 581,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 582,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 583,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0583.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 584,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0584.png",
+      "answer": "(6*sqrt(5)/5)-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x);l: Line;Expression(l) = (2*x + y - 4 = 0);A: Point;PointOnCurve(A, G);Distance(A, yAxis) = m;Distance(A, l) = n;m: Number;n: Number",
+      "coords": {}
+    },
+    {
+      "index": 585,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 586,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0586.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;F: Point;Expression(G) = (x^2 = y/2);Coordinate(M) = (x0, y0);x0:Number;y0:Number;PointOnCurve(F,LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B),G);Focus(G) = F;MidPoint(LineSegmentOf(A, B)) = M;y0 = 7/8",
+      "coords": {}
+    },
+    {
+      "index": 587,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0587.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);e: Number;Abs(LineSegmentOf(P, F1)) = 2*a;AngleOf(F1, P, F2) = pi/3;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 588,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0588.png",
+      "answer": "[\\sqrt{2}, +\\infty)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Real;a>1;P: Point;PointOnCurve(P, G);O: Origin;l: Line;PointOnCurve(P, l);PointOnCurve(O, l);H: Circle;Expression(H) = (x^2 + y^2 = a^2 + 1);A: Point;B: Point;Intersection(l, H) = {A, B};a^2 = Abs(LineSegmentOf(P, A))*Abs(LineSegmentOf(P, B)) + 1",
+      "coords": {}
+    },
+    {
+      "index": 589,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0589.png",
+      "answer": "3",
+      "fact_expr": "M: Point;Coordinate(M) = (1, t);t: Number;t>0;H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Number;p>0;PointOnCurve(M, H);Distance(M, Focus(H)) = 5;G: Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Real;a>0;A: Point;LeftVertex(G) = A;IsParallel(OneOf(Asymptote(G)), LineOf(A, M)) = True",
+      "coords": {}
+    },
+    {
+      "index": 590,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "y",
+        "x_coef": 12.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0590.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/12 + y^2/16 = 1);F1: Point;UpperFocus(G) = F1;L: Line;PointOnCurve(F1, L) = True;Intersection(L, G) = {A, B};A: Point;B: Point;LowerFocus(G) = F2;F2: Point",
+      "coords": {}
+    },
+    {
+      "index": 591,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0591.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1,P,F2)=ApplyUnit(90,degree);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 592,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0592.png",
+      "answer": "-sqrt(7)/3",
+      "fact_expr": "l: Line;C: Ellipse;F: Point;A: Point;B: Point;O: Origin;Expression(C) = (x^2/9 + y^2/7 = 1);LeftFocus(C) = F;PointOnCurve(O, l);Intersection(l, C) = {A, B};Quadrant(A)=2;AngleOf(F, A, B) = AngleOf(B, F, O)",
+      "coords": {}
+    },
+    {
+      "index": 593,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0593.png",
+      "answer": "x^2=8*y",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (x^2 = 2*p*y);p: Number;p>0;PointOnCurve(Focus(G), l) ;Intersection(l, G) = {A, B};B: Point;A: Point;Length(LineSegmentOf(A, B)) = 6;Distance(MidPoint(LineSegmentOf(A, B)), xAxis) = 1",
+      "coords": {}
+    },
+    {
+      "index": 594,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 595,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 596,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 27.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0596.png",
+      "answer": "6",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (x^2/36 + y^2/27 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;PointOnCurve(A, G) = True;O: Origin;B: Point;VectorOf(O, B) = (VectorOf(O, A) + VectorOf(O, F1))/2;C: Point;VectorOf(O, C) = (VectorOf(O, A) + VectorOf(O, F2))/2",
+      "coords": {}
+    },
+    {
+      "index": 597,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0597.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = pi/2;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 598,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0598.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;p: Number;A: Point;p>0;Expression(G) = (x^2 = 2*p*y);Coordinate(A) = (m, 1);PointOnCurve(A, G);Distance(A, Focus(G)) = 4;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 599,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0599.png",
+      "answer": "y=pm*((sqrt(2)/2)*x)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Length(ImageinaryAxis(G)) = 2;FocalLength(G) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 600,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0600.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 601,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0601.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(RightFocus(G),H);Slope(H)=2;Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 602,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0602.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (x^2 = -4*y);Coordinate(P) = (2, -1);PointOnCurve(P,G)",
+      "coords": {
+        "P": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 603,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0603.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);RightFocus(G) = F;Distance(F, OneOf(Asymptote(G))) = sqrt(3)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 604,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 605,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0605.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Focus(G) = {F1, F2};Expression(Asymptote(G)) = (y = pm*(x/2))",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 606,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 607,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 608,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 609,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0609.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;L: Line;PointOnCurve(F, L) = True;Intersection(L, G) = {A, B};A: Point;B: Point;O: Origin;Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 610,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0610.png",
+      "answer": "y=pm*(3/4)*x",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/16 - y^2/m = 1);FocalLength(G) = 10",
+      "coords": {}
+    },
+    {
+      "index": 611,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0611.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;D: Point;l1:Line;l2:Line;F: Point;A: Point;B: Point;C: Point;Expression(G) = (y^2 = 2*x);Focus(G)=F;PointOnCurve(F,l1);PointOnCurve(F,l2);IsPerpendicular(l1,l2);Intersection(l1,G)={A,B};Intersection(l2,G)={C,D}",
+      "coords": {}
+    },
+    {
+      "index": 612,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0612.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;Z1: Circle;Z2: Circle;Expression(G) = (x^2/25 + y^2/9 = 1);Expression(Z1) = (y^2 + (x + 4)^2 = 1/4);Expression(Z2) = (y^2 + (x - 4)^2 = 1/4);Q: Point;R: Point;PointOnCurve(P, G);PointOnCurve(Q, Z1);PointOnCurve(R, Z2)",
+      "coords": {}
+    },
+    {
+      "index": 613,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0613.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (y = x/2)",
+      "coords": {}
+    },
+    {
+      "index": 614,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0614.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;P: Point;F: Point;Expression(G)=(x^2=12*y);Coordinate(P)=(2,1);Focus(G)=F;PointOnCurve(P,l);Intersection(l,G)={A,B};MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 615,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0615.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 616,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0616.png",
+      "answer": "[2,6]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/16 + y^2/12 = 1);F: Point;LeftFocus(C) = F;M: Point;PointOnCurve(M, C) = True",
+      "coords": {}
+    },
+    {
+      "index": 617,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0617.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;O: Origin;M: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(F1, P)) = M;Abs(LineSegmentOf(O, M)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 618,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 619,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0619.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;AngleOf(P, F1, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 620,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 621,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0621.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/3 + x^2/m = 1);Coordinate(OneOf(Focus(G))) = (-1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 622,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0622.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;LeftFocus(G) = F1;P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (1, 1)",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 623,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0623.png",
+      "answer": "[sqrt(5)/2,sqrt(5)]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P:Point;D:Point;e:Number;c:Number;a>1;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-y/b + x/a = 1);Coordinate(P) = (-1, 0);Coordinate(D) = (1, 0);FocalLength(G)=2*c;Eccentricity(G)=e;Distance(P,H)+Distance(D,H)=s;s:Number;s>=(4/5)*c",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ],
+        "D": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 624,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0624.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Distance(MidPoint(LineSegmentOf(A, B)), yAxis) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 625,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0625.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;d:Number;Expression(G) = (y^2 = 8*x);Expression(H) = (x = -2);Coordinate(A) = (1, sqrt(15));PointOnCurve(P, G);Distance(P, H) = d",
+      "coords": {
+        "A": [
+          1.0,
+          3.872983346207417
+        ]
+      }
+    },
+    {
+      "index": 626,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0626.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;P: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;RightVertex(G) = B;PointOnCurve(P, G);Negation(P = A);Negation(P = B);Slope(LineOf(P,A))*Slope(LineOf(P,B))=2",
+      "coords": {}
+    },
+    {
+      "index": 627,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 628,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0628.png",
+      "answer": "{pi/3, ApplyUnit(60, degree)}",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;M: Point;N: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(M) = (x1, y1);Coordinate(N) = (x2, y2);PointOnCurve(M, C);PointOnCurve(N, C);x1 + x2 + 2 = 2*LineSegmentOf(M, N)",
+      "coords": {}
+    },
+    {
+      "index": 629,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0629.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);G: Line;PointOnCurve(Focus(C), G);Slope(G) = 1;Intersection(G, C) = {A, B};A: Point;B: Point;M: Point;Coordinate(M) = (-1, m);m: Number;AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 630,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0630.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);L: Line;Expression(L) = (y = x - 1);Intersection(L, C) = {M, N};M: Point;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 631,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 632,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0632.png",
+      "answer": "(-4, \\pm 4\\sqrt{2})",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x);P:Point;Distance(P,Focus(G))=6;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 633,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0633.png",
+      "answer": "2/5",
+      "fact_expr": "C: Ellipse;A: Point;B: Point;D: Point;F: Point;l: Line;Expression(C) = (x^2/25 + y^2/9 = 1);RightFocus(C) = F;PointOnCurve(F,l);IsParallel(l, yAxis) = False ;Intersection(l,C)={A,B};PerpendicularBisector(LineSegmentOf(A,B))=l1;Intersection(l1,MajorAxis(C))=D;l1:Line",
+      "coords": {}
+    },
+    {
+      "index": 634,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0634.png",
+      "answer": "6/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(C) = F;G: Line;Slope(G) = sqrt(3);PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};VectorOf(A, F) = 4*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 635,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0635.png",
+      "answer": "(x^2/4+y^2=1)&Negation(y=0)",
+      "fact_expr": "G: Circle;C1:Line;C2:Line;C3:Line;C4:Line;D: Point;C: Point;A: Point;B: Point;M:Point;Expression(G) = (x^2 + y^2 = 4);PointOnCurve(A,C1);Expression(C2)=(x=2);Intersection(C1,C2)=C;PointOnCurve(B,C3);Expression(C4)=(x=-2);Intersection(C3,C4)=D;Coordinate(A) = (-2, 0);Coordinate(B) = (2, 0);IsTangent(LineOf(C,D),G);Intersection(LineOf(A,C),LineOf(B,D))=M",
+      "coords": {}
+    },
+    {
+      "index": 636,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0636.png",
+      "answer": "y=pm*(sqrt(5)/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, C);A: Point;LeftVertex(C) = A;F: Point;RightFocus(C) = F;IsPerpendicular(LineSegmentOf(P, F), LineSegmentOf(A, F));2*Abs(LineSegmentOf(P, F)) = Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 637,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0637.png",
+      "answer": "-5",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);P: Point;PointOnCurve(P, G);M: Point;Coordinate(M) = (6, 4)",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 638,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0638.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;DotProduct((VectorOf(O,P)+VectorOf(O,F2)),VectorOf(F2,P))=0;Abs(LineSegmentOf(P,F1))=sqrt(3)*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 639,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.25
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0639.png",
+      "answer": "y^2=pm*2*sqrt(3)*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2 + 4*y^2 = 1);Vertex(G)=O;O:Origin;Focus(G)=OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 640,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0640.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;l1:Line;l2:Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(l1)=(4*x-3*y+11=0);Expression(l2)=(x+1=0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 641,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 642,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0642.png",
+      "answer": "{18, 2}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Number;P: Point;PointOnCurve(P, G);Expression(OneOf(Asymptote(G))) = (3*x + 4*y = 0);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 643,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0643.png",
+      "answer": "1/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;B: Point;F: Point;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;UpperVertex(C) = B;OneOf(Intersection(LineOf(B,F),C)) = A;LineSegmentOf(A, F)/LineSegmentOf(B, F) = 4/5",
+      "coords": {}
+    },
+    {
+      "index": 644,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0644.png",
+      "answer": "(pm*2*sqrt(2),0)\ny=pm*(sqrt(15)/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/8 + y^2/5 = 1);Eccentricity(G) = (2*sqrt(6))/3;Vertex(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 645,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0645.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P,F1)+LineSegmentOf(P,F2))=Abs(LineSegmentOf(F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 646,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0646.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 5*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 647,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0647.png",
+      "answer": "(1,\\sqrt{10}]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 3*x);NumIntersection(G, H)=0;Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 648,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0648.png",
+      "answer": "(\\pi/6, \\pi/2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Q: Point;MidPoint(LineSegmentOf(P, F1)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0649.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 650,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 651,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 652,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0652.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;P:Point;D:Point;F: Point;Expression(G) = (x^2 = y);Coordinate(P) = (1, 0);Coordinate(D) = (0, 2);PointOnCurve(P,H);Intersection(H, G) = {A, B};Focus(G)=F;PointOnCurve(D,PerpendicularBisector(LineSegmentOf(A,B)))",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ],
+        "D": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 653,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 654,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0654.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (x + y - 2 = 0);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 655,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 656,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 657,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 658,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0658.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;H: Circle;Expression(H) = (x^2 + y^2 = c^2);c: Number;P: Point;Quadrant(P) = 2;Intersection(G, H) = P;F1: Point;Coordinate(F1) = (-c, 0);LeftFocus(G) = F1;O: Origin;Distance(O, LineOf(P, F1)) = sqrt(3)/2*c",
+      "coords": {}
+    },
+    {
+      "index": 659,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0659.png",
+      "answer": "66/5",
+      "fact_expr": "G: Hyperbola;H: Point;P: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(H) = (5, 0);PointOnCurve(P, G);Distance(P, H) = 8.5",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 660,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0660.png",
+      "answer": "(-sqrt(2)/2, -1/2) + (-1/2, 1/2) + (1/2,sqrt(2)/2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1);l: Line;Expression(l) = (y = k*x - 1);k: Real;NumIntersection(l, C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 661,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 662,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0662.png",
+      "answer": "(5, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 663,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0663.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;F: Point;E: Point;O: Origin;P: Point;c:Number;c>0;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2/4);Coordinate(F) = (-c, 0);LeftFocus(G) = F;l:Line;TangentOfPoint(F,H)=l;TangentPoint(l,H)=E;Intersection(OverlappingLine(LineSegmentOf(F,E)),RightPart(G))=P;VectorOf(O, P) = 2*VectorOf(O, E) - VectorOf(O, F)",
+      "coords": {}
+    },
+    {
+      "index": 664,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0664.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/12 - y^2/4 = 1);p>0;Expression(H) = (y^2 = 2*p*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 665,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 666,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0666.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(G,OneOf(Asymptote(C)))  =True;G: Point;Coordinate(G) = (1, -3)",
+      "coords": {
+        "G": [
+          1.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0667.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;b > a;a > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F1, l);Slope(l) = 1;A: Point;B: Point;L1: Line;L2: Line;Asymptote(G) = {L1, L2};Intersection(l, L1) = A;Intersection(l, L2) = B;Abs(LineSegmentOf(A, F1)) = Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 668,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0668.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);Inclination(l) = pi/4;A: Point;B: Point;Intersection(l, C) = {A, B};Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 669,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0669.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;p>0;Expression(G) = (x^2/3 - 16*y^2/p^2 = 1);Expression(H) = (y^2 = 2*p*x);PointOnCurve(LeftFocus(G),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 670,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0670.png",
+      "answer": "16/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F: Point;Inclination(l) = ApplyUnit(60, degree);Focus(G) = F;PointOnCurve(F, l);Expression(G) = (y^2 = 4*x);Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 671,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0671.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/20 = 1);P: Point;PointOnCurve(P, G) = True;H: Point;Coordinate(H) = (6, 0);Distance(P,H) = 9;I: Point;Coordinate(I) = (-6,0)",
+      "coords": {
+        "H": [
+          6.0,
+          0.0
+        ],
+        "I": [
+          -6.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 672,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0672.png",
+      "answer": "x^2/9 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2 + 4*y^2 = 16);Focus(G) = Focus(H);Expression(OneOf(Asymptote(G))) = (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 673,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0673.png",
+      "answer": "{1, -1}",
+      "fact_expr": "G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, LineOf(A, B));Intersection(LineOf(A, B), G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 674,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0674.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = ((x + 2)^2 + (y - 4)^2 = 1);PointOnCurve(P, G);PointOnCurve(Q, H);Q:Point",
+      "coords": {}
+    },
+    {
+      "index": 675,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 676,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0676.png",
+      "answer": "32",
+      "fact_expr": "G: Parabola;H: Line;Q: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(Q) = (4, 0);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1:Number;y1:Number;x2:Number;y2:Number;PointOnCurve(Q, H);Intersection(H, G) = {A,B}",
+      "coords": {
+        "Q": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 677,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0677.png",
+      "answer": "7*sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/3 - y^2/6 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;DotProduct((VectorOf(F1, P) - VectorOf(F2, P)),(VectorOf(F1, P) + VectorOf(F2, P))) = 72",
+      "coords": {}
+    },
+    {
+      "index": 678,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0678.png",
+      "answer": "y^2/4 - x^2/12 = 1",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;H: Parabola;Expression(G) = (y^2/n + x^2/m = 1);Expression(H) = (x^2 = 16*y);Eccentricity(G) = 2;OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 679,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_0679.png",
+      "answer": "x^2-4*y^2=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;M: Point;A: Point;m:Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*p*x);Coordinate(M) = (1, m);PointOnCurve(M, H);Distance(M, Focus(H)) = 5;LeftVertex(G)=A;Eccentricity(G)=sqrt(5)/2;IsPerpendicular(OneOf(Asymptote(G)),LineOf(A,M))",
+      "coords": {}
+    },
+    {
+      "index": 680,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0680.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Parabola;p: Number;A: Point;O: Origin;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));l1:Line;l2:Line;Asymptote(G)={l1,l2};Intersection(l1, Directrix(H)) = A;Intersection(l2, Directrix(H)) = B;Eccentricity(G) = 2;Area(TriangleOf(A, O, B)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 681,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0681.png",
+      "answer": "sqrt(2) - 1",
+      "fact_expr": "G: Hyperbola;H: Curve;P: Point;Q: Point;M: Point;O: Origin;Expression(G) = (x^2/2 - y^2 = 1);Expression(H) = (x^2 + (y - 3)^2 = 4);PointOnCurve(P, G);PointOnCurve(Q, H);MidPoint(LineSegmentOf(P, Q)) = M",
+      "coords": {}
+    },
+    {
+      "index": 682,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0682.png",
+      "answer": "(\\sqrt{2}-1,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;c:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G);a/Sin(AngleOf(P,F1,F2))=c/Sin(AngleOf(P,F2,F1))",
+      "coords": {}
+    },
+    {
+      "index": 683,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 684,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0684.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;l: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;LeftDirectrix(G) = l;H:LineSegment;PointOnCurve(F1,H);IsPerpendicular(H,xAxis);Length(H)=Distance(F1,l);IsChordOf(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 685,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0685.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;G: Line;PointOnCurve(F,G) = True;Slope(G) = sqrt(3)/3;A: Point;B: Point;Intersection(G, C) = {A, B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 686,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0686.png",
+      "answer": "[4+2*sqrt(3),8)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F: Point;RightFocus(C) = F;O: Origin;PointOnCurve(O, l);l: Line;Intersection(l, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 687,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0687.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p>0;p: Number;P: Point;Coordinate(P) = (2, m);m: Number;PointOnCurve(P, G) = True;F: Point;Focus(G) = F;Distance(P, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 688,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0688.png",
+      "answer": "3*x^2-y^2=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2;Distance(Focus(G),Asymptote(G))=1",
+      "coords": {}
+    },
+    {
+      "index": 689,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0689.png",
+      "answer": "y^2=4*sqrt(3)*x",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;Negation(A=Vertex(G));PointOnCurve(A,LineSegmentOf(A,B));IsPerpendicular(LineSegmentOf(A,B),Directrix(G));FootPoint(LineSegmentOf(A,B),Directrix(G))=B;Abs(LineSegmentOf(B, F)) = Abs(LineSegmentOf(A, F));Area(TriangleOf(A, B, F)) = 12*sqrt(3);PointOnCurve(A,G)",
+      "coords": {}
+    },
+    {
+      "index": 690,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0690.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "C: Parabola;B: Point;A: Point;M: Point;Expression(C) = (x^2 = 4*y);Coordinate(M) = (-1, 2);PointOnCurve(A, C);PointOnCurve(B, C);VectorOf(A, M) = VectorOf(M, B)",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 691,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0691.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;O:Origin;P: Point;H:Line;Expression(G) = (x^2/4 + y^2/3 = 1);IsChordOf(LineSegmentOf(A,B),G);Expression(H) = (y = -1/4);Coordinate(P) = (0, 1);2*VectorOf(O, A) + VectorOf(O, B) - 3*VectorOf(O, P) = 0",
+      "coords": {
+        "P": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 692,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0692.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Length(RealAxis(C)) = 16;F: Point;LeftFocus(C) = F;M: Point;PointOnCurve(M, OneOf(Asymptote(C)));O: Origin;IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(M, F));Area(TriangleOf(O, M, F)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 693,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0693.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;c: Number;Coordinate(F) = (c, 0);RightFocus(C) = F;G: Line;Expression(G) = (x - 2*sqrt(2)*y = 0);A: Point;B: Point;Intersection(G, C) = {A, B};DotProduct(VectorOf(A, F), VectorOf(B, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 694,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0694.png",
+      "answer": "5/3",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F2: Point;F1: Point;LeftFocus(E) = F1;RightFocus(E) = F2;G: Line;PointOnCurve(F1, G);A: Point;B: Point;Intersection(G, E) = {A, B};Abs(LineSegmentOf(A, F2)) = Abs(LineSegmentOf(F1, F2));e: Number;VectorOf(B, F1) = 2*VectorOf(F1, A);Eccentricity(E) = e",
+      "coords": {}
+    },
+    {
+      "index": 695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0695.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;Distance(OneOf(Focus(C)), OneOf(Asymptote(C))) = sqrt(3);Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0696.png",
+      "answer": "pm*8",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;Expression(G) = (x^2 = p*y);Expression(H) = (-4*x + x^2 + y^2 = 0);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 697,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0697.png",
+      "answer": "pm*sqrt(3)/2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y = x^2);PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 698,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0698.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Inclination(OneOf(Asymptote(G)))=pi/6",
+      "coords": {}
+    },
+    {
+      "index": 699,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0699.png",
+      "answer": "3",
+      "fact_expr": "F: Point;Coordinate(F) = (1, 0);E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;RightFocus(E) = F;G: Line;B: Point;LowerVertex(E) = B;PointOnCurve(B, G) ;PointOnCurve(F, G) ;A: Point;Intersection(G, E) = {B, A};4*VectorOf(B, F) = 5*VectorOf(F, A)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 700,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0700.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -1);Coordinate(A) = (3, 4);PointOnCurve(P, G);Distance(P, H) = d;d:Number",
+      "coords": {
+        "A": [
+          3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 701,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 702,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0702.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;M: Point;N: Point;F: Point;l:Line;p>0;Expression(G) = (y^2 = 2*p*x);Directrix(G)=l;Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);AngleOf(A, F, B) = ApplyUnit(90, degree);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M;PointOnCurve(M,LineSegmentOf(M,N));IsPerpendicular(LineSegmentOf(M,N),l);FootPoint(LineSegmentOf(M,N),l)=N",
+      "coords": {}
+    },
+    {
+      "index": 703,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0703.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;lambda:Number;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);PointOnCurve(MidPoint(LineSegmentOf(P,F1)), yAxis);Abs(LineSegmentOf(P, F1)) = lambda*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 704,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0704.png",
+      "answer": "2*(sqrt(2)+1)",
+      "fact_expr": "Q: Point;Coordinate(Q) = (-2, 0);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};P: Point;Intersection(H, yAxis) = P;VectorOf(A, B) = 3*VectorOf(B, P);Slope(LineOf(Q, A)) = 1",
+      "coords": {
+        "Q": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 705,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0705.png",
+      "answer": "9/2",
+      "fact_expr": "C: Parabola;G: Line;A: Point;O: Origin;B: Point;F: Point;Expression(C) = (y^2 = 6*x);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 706,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 707,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 708,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0708.png",
+      "answer": "8-4*sqrt(3)",
+      "fact_expr": "P: Point;Q: Curve;Expression(Q) = (x^2/5 + y^2/4 = 1);PointOnCurve(P, Q) = True;F1: Point;F2: Point;Focus(Q) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 709,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0709.png",
+      "answer": "(x-1)^2 + (y-2)^2 = 4",
+      "fact_expr": "C: Circle;Quadrant(Center(C)) = 1;H: Line;Expression(H) = (y = 2*x);PointOnCurve(Center(C), H);G: Parabola;Expression(G) = (y^2 = 4*x);IsTangent(C, Directrix(G));IsTangent(C, xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 710,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 711,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 712,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0712.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);A1: Point;A2: Point;LeftVertex(C) = A1;RightVertex(C) = A2;P: Point;PointOnCurve(P, C);Slope(LineOf(A1, P)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 713,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0713.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2 + 2*y^2 = 2);PointOnCurve(P, G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 714,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0714.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;Expression(G) = (x^2/16 - y^2/8 = 1);PointOnCurve(OneOf(Focus(G)),l);IsPerpendicular(l,RealAxis(G));Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 715,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0715.png",
+      "answer": "1/2",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;B: Point;M: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (-2, 1);Eccentricity(C) = sqrt(3)/2;Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {
+        "M": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 716,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0716.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1: Number;x2: Number;y2: Number;Expression(G) = (y^2 = 8*x);Coordinate(A) = (x1, x2);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 717,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0717.png",
+      "answer": "(\\sqrt{5} - 1)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;P: Point;A: Point;F: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;LeftFocus(C) = F;TangentPoint(LineOf(A, P), G) = P;Center(G) = O;Radius(G) = b;IsPerpendicular(LineSegmentOf(P, F), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 718,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0718.png",
+      "answer": "8",
+      "fact_expr": "l: Line;Focus(G) = F;F: Point;PointOnCurve(F,l) = True;G: Parabola;Expression(G) = (y^2 = 8*x);Intersection(l,G) = {A,B};A: Point;B: Point;Distance(MidPoint(LineSegmentOf(A,B)),yAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 719,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0719.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Line;B: Point;C: Point;F: Point;A: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(F,H);Intersection(H,G) = {B, A};Intersection(H,Directrix(G))=C;Between(B,F,C)=True;Abs(LineSegmentOf(B, C)) = 2*Abs(LineSegmentOf(B, F));Abs(LineSegmentOf(A, F)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 720,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0720.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;P: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Endpoint(MajorAxis(C))={A,B};PointOnCurve(P, C);AngleOf(A, P, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 721,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0721.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (5, 4);P: Point;PointOnCurve(P, G);Negation(PointOnCurve(P, LineOf(A, F)))",
+      "coords": {
+        "A": [
+          5.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 722,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          4.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0722.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Circle;a>0;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (-8*x + x^2 + y^2 = 0);RightFocus(G)=Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 723,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0723.png",
+      "answer": "x^2/12 - y^2/8 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/4 = 1);H: Point;Coordinate(H) = (3*sqrt(2), 2);Z: Hyperbola;Focus(G) = Focus(Z);PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          4.242640687119286,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 724,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0724.png",
+      "answer": "(1,3)+(3,+oo)",
+      "fact_expr": "G: Ellipse;m: Number;H: Line;Expression(G) = (y^2/3 + x^2/m = 1);Expression(H) = (y = x + 2);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 725,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0725.png",
+      "answer": "[2, +oo)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;PointOnCurve(F, H);Inclination(H) = (2*pi)/3;NumIntersection(H, LeftPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 726,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0726.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 727,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0727.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;l: Line;A: Point;B: Point;O:Origin;c:Number;b > a;a > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (a, 0);Coordinate(B) = (0, b);HalfFocalLength(G)=c;Distance(O,l)=(sqrt(3)/4)*c;PointOnCurve(A,l);PointOnCurve(B,l)",
+      "coords": {}
+    },
+    {
+      "index": 728,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0728.png",
+      "answer": "10*sqrt(2)",
+      "fact_expr": "l: Line;G: Parabola;C: Point;D: Point;A: Point;B: Point;Expression(G) = (y^2 = 16*x);Expression(l) = (2*x - y + 1 = 0);Intersection(l, G) = {A, B};L1:Line;L2:Line;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(l,L1);IsPerpendicular(l,L2);Intersection(L1, xAxis) = C ;Intersection(L2, xAxis) = D",
+      "coords": {}
+    },
+    {
+      "index": 729,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0729.png",
+      "answer": "(1/4,+\\infty)",
+      "fact_expr": "G: Ellipse;m: Number;H: Line;Expression(G) = (x^2/3 + y^2/m = 1);Expression(H) = (x + 2*y - 2 = 0);NumIntersection(G, H) = 2",
+      "coords": {}
+    },
+    {
+      "index": 730,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0730.png",
+      "answer": "1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 731,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 732,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 733,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0733.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;P: Point;F: Point;O: Origin;Expression(G) = (x^2 = 4*y);PointOnCurve(P, G);Focus(G) = F;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 734,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0734.png",
+      "answer": "pm*sqrt(2)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;O: Origin;M: Point;Expression(G) = (y^2=2*x);PointOnCurve(A,G);PointOnCurve(B,G);DotProduct(VectorOf(O,A),VectorOf(O,B))=0;Intersection(LineOf(A,B),xAxis)=M;LineSegmentOf(A,M)=2*LineSegmentOf(B,M)",
+      "coords": {}
+    },
+    {
+      "index": 735,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 736,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 737,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 738,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0738.png",
+      "answer": "(-\\infty,-4] \\cup [12,+\\infty)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;C: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 4);PointOnCurve(B,G);PointOnCurve(C,G);IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, C))",
+      "coords": {
+        "A": [
+          4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 739,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0739.png",
+      "answer": "3*sqrt(3)/5",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, G);AngleOf(P, F1, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 740,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 741,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 742,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 743,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0743.png",
+      "answer": "10/3",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsChordOf(LineSegmentOf(A,B),G);Perimeter(InscribedCircle(TriangleOf(A,B,F2)))=2*pi;Coordinate(A)=(x1,y1);Coordinate(B)=(x2,y2);PointOnCurve(F1, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 744,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0744.png",
+      "answer": "40",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);H: Line;PointOnCurve(Focus(G), H);Slope(H) = 2;A: Point;B: Point;Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 745,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0745.png",
+      "answer": "[-2*sqrt(3), 2*sqrt(3)]",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;PointOnCurve(P, C);F: Point;Focus(C) = F;A: Point;m: Real;Coordinate(A) = (3, m);Min(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 746,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0746.png",
+      "answer": "17/4",
+      "fact_expr": "G: Ellipse;A: Point;M: Point;F: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Coordinate(A) = (2, 2);RightFocus(G) = F;PointOnCurve(M, G)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 747,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0747.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (x^2 = 4*y);PointOnCurve(A, G);PointOnCurve(B, G);Negation(A=B);MidPoint(LineSegmentOf(A,B)) = P;Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 748,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0748.png",
+      "answer": "2,8",
+      "fact_expr": "G: Parabola;p: Number;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(M, G);Distance(M, xAxis) = 4;Distance(M,Focus(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 749,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_0749.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = sqrt(3);G: Point;Coordinate(G) = (3, 0)",
+      "coords": {
+        "G": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 750,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0750.png",
+      "answer": "(1, \\sqrt{21}/3]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A2: Point;P: Point;A1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A1;RightVertex(C) = A2;PointOnCurve(A2, LineSegmentOf(A2, P));IsPerpendicular(Asymptote(C), LineSegmentOf(A2, P));FootPoint(Asymptote(C), LineSegmentOf(A2, P)) = P;Abs(LineSegmentOf(A1, P))/Abs(LineSegmentOf(A2, P)) >= 2",
+      "coords": {}
+    },
+    {
+      "index": 751,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0751.png",
+      "answer": "(-1, 2)",
+      "fact_expr": "A: Point;Coordinate(A) = (-3, 2);G: Parabola;Expression(G) = (y^2 = -4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          -3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 752,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_0752.png",
+      "answer": "y=pm*sqrt(5)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 753,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0753.png",
+      "answer": "sqrt(a^2+b^2-a*b)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;A: Point;B: Point;O: Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (x0, y0);x0:Number;y0:Number;l:Line;TangentOfPoint(P,G)=l;Expression(l)=(x0*x/a^2+y0*y/b^2=1);Intersection(l,xAxis)=A;Intersection(l,yAxis)=B;WhenMin(Abs(LineSegmentOf(A,B)));PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 754,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0754.png",
+      "answer": "sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Slope(OneOf(Asymptote(G))) = sqrt(7);Incenter(TriangleOf(P, F1, F2)) = M;lambda: Number;Area(TriangleOf(P, M, F1)) = Area(TriangleOf(P, M, F2)) + lambda*Area(TriangleOf(M, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 755,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0755.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;O: Origin;Expression(G) = (y = x);Coordinate(F) = (2, 2);PointOnCurve(Focus(C), xAxis);Intersection(G, C) = {A,B};MidPoint(LineSegmentOf(A, B)) = F;Vertex(C) = O",
+      "coords": {
+        "F": [
+          2.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 756,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          1.0
+        ],
+        "radius": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0756.png",
+      "answer": "(x-3/2)^2+(y-2)^2=5/4",
+      "fact_expr": "C: Circle;Expression(C) = ((x - 1)^2 + (y - 1)^2 = 9);A: Point;Coordinate(A) = (2, 3);L: LineSegment;PointOnCurve(A, L) = True;IsChordOf(L, C) = True;MidPoint(L) = P;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 757,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0757.png",
+      "answer": "{9, 7}",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/8 + x^2/m = 1);m: Number;FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 758,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0758.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;LeftVertex(C) = M;G: Line;IsParallel(G, xAxis);A: Point;B: Point;Intersection(G, C) = {A, B};DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 759,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_0759.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 760,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 761,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0761.png",
+      "answer": "3*x+4*y-7=0",
+      "fact_expr": "Gamma: Ellipse;Expression(Gamma) = (x^2/4 + y^2/3 = 1);P: Point;Coordinate(P) = (1, 1);l: Line;PointOnCurve(P, l);A: Point;B: Point;Intersection(l, Gamma) = {A, B};IsChordOf(LineSegmentOf(A, B), Gamma);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 762,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 1.4142135623730951
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0762.png",
+      "answer": "{2*sqrt(3)/3, 2}",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(H) = (-4*x + x^2 + y^2 + 2 = 0);Length(InterceptChord(OneOf(Asymptote(G)), H)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 763,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0763.png",
+      "answer": "5+2*sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/9 - y^2/7 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;E: Circle;Expression(E) = (-4*y + x^2 + y^2 + 3 = 0);P: Point;PointOnCurve(P, RightPart(C)) = True;Q: Point;PointOnCurve(Q, E) = True",
+      "coords": {}
+    },
+    {
+      "index": 764,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 765,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0765.png",
+      "answer": "[(3/4)*sqrt(5),9/4]",
+      "fact_expr": "G: Ellipse;P: Point;A: Point;Coordinate(A) = (1/4, 0);Expression(G)= (x^2/4 + y^2/3 = 1);PointOnCurve(P,G)",
+      "coords": {
+        "A": [
+          0.25,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 766,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 767,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0767.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F2: Point;B2: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F2;LowerVertex(G) = B2;PointOnCurve(C, G);VectorOf(F2, B2) = 2*VectorOf(C, F2)",
+      "coords": {}
+    },
+    {
+      "index": 768,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0768.png",
+      "answer": "(2*sqrt(3))/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Circle;Expression(H) = (y^2 + (x - 2)^2 = 1);IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 769,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0769.png",
+      "answer": "10",
+      "fact_expr": "l: Line;G: Parabola;A: Point;O: Origin;B: Point;M: Point;P: Point;Q: Point;H: Circle;Expression(G) = (y^2 = 4*x);Coordinate(M) = (6, 0);Intersection(l, G) = {A, B};Slope(LineOf(O, A))*Slope(LineOf(O, B)) = -1;Center(H) = MidPoint(LineSegmentOf(A, B));Radius(H) = sqrt(2);Intersection(H, l) = {P, Q}",
+      "coords": {
+        "M": [
+          6.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 770,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.196152422706632,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 27.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0770.png",
+      "answer": "1/5",
+      "fact_expr": "G: Ellipse;l: Line;P: Point;Expression(G) = (x^2/27 + y^2/16 = 1);Expression(l) = (4*x + 3*y - 25 = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 771,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0771.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Circle;Expression(H) = (-2*y + x^2 + y^2 - 1 = 0);Length(InterceptChord(Directrix(G), H)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 772,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 773,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 774,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0774.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "F: Point;E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(E) = F;L: Line;PointOnCurve(F, L);L1: Line;L2: Line;OneOf(Asymptote(E))=L1;OneOf(Asymptote(E))=L2;Negation(L1=L2);IsPerpendicular(L, L1);FootPoint(L, L1) = A;A: Point;Intersection(L, L2) = B;B: Point;Abs(LineSegmentOf(O, F)) = Abs(LineSegmentOf(F, B));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 775,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0775.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;H: Line;F:Point;m:Number;m>0;M:Point;Expression(H) = (y = x*(sqrt(2)/2));Expression(G) = (x^2/16 + y^2/m^2 = 1);OneOf(Intersection(H,G))=M;Projection(M,xAxis)=F;RightFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 776,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0776.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;F: Point;O: Origin;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = 5",
+      "coords": {}
+    },
+    {
+      "index": 777,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0777.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;c:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;Eccentricity(G) = (2*sqrt(3))/3;FocalLength(G) = 2*c;2*a^2 = 3*c;PointOnCurve(P,G);DotProduct(VectorOf(P,F1),VectorOf(P,F2))=2",
+      "coords": {}
+    },
+    {
+      "index": 778,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5002657771110535,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 8.410525879298802e-06,
+        "converged": true,
+        "iterations": 102
+      },
+      "output_path": "results/train/parabola/problem_0778.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;p: Number;M: Point;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (2, 2);PointOnCurve(M, G)",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 779,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0779.png",
+      "answer": "pm*1",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F: Point;M: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;Distance(M, Directrix(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 780,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0780.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 + y^2/m = 1);PointOnCurve(Focus(G), yAxis);Eccentricity(G)=e;e:Number;e=sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 781,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0781.png",
+      "answer": "[\\sqrt{3}/2, 1)",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/a^2 + y^2/b^2 = 1);b: Number;a: Number;a > b;b > 0;C2: Circle;Expression(C2) = (x^2 + y^2 = b^2);P: Point;PointOnCurve(P, C1);A: Point;B: Point;TangentOfPoint(P, C2) = {LineOf(P, A), LineOf(P, B)};TangentPoint(LineOf(P, A), C2) = A;TangentPoint(LineOf(P, B), C2) = B;AngleOf(B, P, A) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 782,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0782.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;F: Point;M: Point;N: Point;Expression(C) = (y^2 = 12*x);Focus(C) = F;PointOnCurve(M, C);Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;VectorOf(F, M) = 2*VectorOf(M, N)",
+      "coords": {}
+    },
+    {
+      "index": 783,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 784,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0784.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;H: Line;m: Number;A: Point;P: Point;B: Point;Q: Point;k1: Number;k2: Number;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (x = m*y + 6/5);LeftVertex(G) = A;RightVertex(G) = B;Intersection(H, G) = {P, Q};Slope(LineOf(A, P)) = k1;Slope(LineOf(B, Q)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 785,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 786,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0786.png",
+      "answer": "(2,2*sqrt(2))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P:Point;Quadrant(P)=1;PointOnCurve(P,G);Distance(P,Focus(G))=3",
+      "coords": {}
+    },
+    {
+      "index": 787,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0787.png",
+      "answer": "y^2=20*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/16 - y^2/9 = 1);Vertex(H) = Center(G);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 788,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 789,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0789.png",
+      "answer": "16*sqrt(3)/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/6 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);Inclination(H) = ApplyUnit(30, degree);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 790,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0790.png",
+      "answer": "x^2/25+y^2/9=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Area(TriangleOf(P, F1, F2)) = 9;Perimeter(TriangleOf(P, F1, F2))=18",
+      "coords": {}
+    },
+    {
+      "index": 791,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0791.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;p: Number;H: Point;Expression(G) = (y^2/4 + x^2/p = 1);Coordinate(H) = (0, -1);OneOf(Focus(G)) = H",
+      "coords": {
+        "H": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 792,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0792.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 793,
+      "success": false,
+      "error": "Circle from diameter: cannot parse diameter pattern"
+    },
+    {
+      "index": 794,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5002657771110535,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 8.410525879298802e-06,
+        "converged": true,
+        "iterations": 102
+      },
+      "output_path": "results/train/parabola/problem_0794.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;M: Point;Coordinate(M) = (2, 2);PointOnCurve(M, G)",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 795,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0796.png",
+      "answer": "5/4",
+      "fact_expr": "A: Point;B: Point;G: Parabola;F: Point;Expression(G) = (y^2 = x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 797,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0797.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);A: Point;PointOnCurve(A, G);F: Point;LeftFocus(G) = F;Distance(A, F) = 4;B: Point;MidPoint(LineSegmentOf(A, F)) = B;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 798,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 799,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 800,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0800.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));H: Circle;Expression(H) = (x^2 + y^2 = a^2);IsIntersect(LineOf(P, F1), H)",
+      "coords": {}
+    },
+    {
+      "index": 801,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_0801.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (1, 2);PointOnCurve(H, G);Expression(Asymptote(G)) = (y = pm*(sqrt(2)*x))",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 802,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0802.png",
+      "answer": "y^2=18*x",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);G: Parabola;Center(H) = Vertex(G);LeftDirectrix(H) = Directrix(G)",
+      "coords": {}
+    },
+    {
+      "index": 803,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 804,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 805,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0805.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;A: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y^2 + (x - 4)^2 = 2);PointOnCurve(P, G);l: Line;TangentOfPoint(P, H) = l;TangentPoint(l, H) = A",
+      "coords": {}
+    },
+    {
+      "index": 806,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0806.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/b^2 = 1);b: Number;Length(ImageinaryAxis(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 807,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 808,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0808.png",
+      "answer": "2",
+      "fact_expr": "H: Line;Expression(H) = (m - m*y + x = 0);m: Number;G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 809,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 810,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0810.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;P: Point;A: Point;M: Point;d: Number;Expression(G) = (y^2 = 2*x);Coordinate(A) = (7/2, 4);PointOnCurve(P, G);Distance(P, Directrix(G)) = d;Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          3.5,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 811,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 812,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 813,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0813.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;a:Number;b:Number;F1:Point;F2:Point;P:Point;a>b;b>0;PointOnCurve(Focus(G), xAxis);Expression(G) = (y^2/b^2 + x^2/a^2 = 1);OneOf(Endpoint(MinorAxis(G)))=P;Focus(G)={F1,F2};Radius(InscribedCircle(TriangleOf(P,F1,F2)))=b/3",
+      "coords": {}
+    },
+    {
+      "index": 814,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0814.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 815,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.8503371627061314,
+        "b": 1.8676572177554456,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 5.51866980271156e-07,
+        "converged": true,
+        "iterations": 103
+      },
+      "output_path": "results/train/ellipse/problem_0815.png",
+      "answer": "x^2/9+y^2/4=1",
+      "fact_expr": "P: Point;Coordinate(P) = (-3, 0);Q: Point;Coordinate(Q) = (0, -2);G: Ellipse;PointOnCurve(P, G);PointOnCurve(Q, G)",
+      "coords": {
+        "P": [
+          -3.0,
+          0.0
+        ],
+        "Q": [
+          0.0,
+          -2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 816,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0816.png",
+      "answer": "(\\sqrt{3}+1)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Circle;Center(G) = F2;Radius(G) = Abs(LineSegmentOf(F1, F2));A: Point;B: Point;Intersection(G, RightPart(C)) = {A, B};Abs(LineSegmentOf(A, B)) = sqrt(3)*Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 817,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0817.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};K: Point;Intersection(Directrix(G), xAxis) = K;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(F, K))",
+      "coords": {}
+    },
+    {
+      "index": 818,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0818.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;B: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (1, 2);Coordinate(B) = (-1, 2);IsPerpendicular(VectorOf(B, P),VectorOf(A, P));NumIntersection(Asymptote(G),Locus(P))=0",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ],
+        "B": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 819,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0819.png",
+      "answer": "(0,pm*2)",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(P, G);Area(TriangleOf(P,F1,F2))=2;F1:Point;F2:Point;Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 820,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0820.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Point;x0: Number;y0: Number;Coordinate(H) = (x0, y0);PointOnCurve(H, G);z: Number;z=x0^2+(1/2)*y0^2+3",
+      "coords": {}
+    },
+    {
+      "index": 821,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0821.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/16 + y^2/9 = 1);OneOf(Focus(G)) = F1;PointOnCurve(F1, H);Intersection(H, G) = {A, B};OneOf(Focus(G)) = F2;Negation(F1 = F2)",
+      "coords": {}
+    },
+    {
+      "index": 822,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0822.png",
+      "answer": "y^2/2 - x^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2 + y^2/2 = 1);Vertex(G) = Endpoint(MajorAxis(H));Eccentricity(G)*Eccentricity(H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 823,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0823.png",
+      "answer": "4*x+pm*3*y=0",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);Focus(C)=Endpoint(MajorAxis(G));Vertex(C)=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 824,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0824.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;F: Point;Focus(G) = F;PointOnCurve(F, l) = True;Intersection(l, G) = {A, B};A: Point;B: Point;VectorOf(B, A) = 4*VectorOf(B, F);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 825,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0825.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;F1:Point;F2:Point;Expression(G) = (x^2/36 + y^2/25 = 1);PointOnCurve(P, G);Distance(P,F1) = 3;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 826,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0826.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(O, l);Intersection(l, C) = {A, B};Negation(A = B);LeftFocus(C) = F;Abs(LineSegmentOf(A, F)) = (5/3)*Abs(LineSegmentOf(B, F));Abs(LineSegmentOf(O, A)) = b",
+      "coords": {}
+    },
+    {
+      "index": 827,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_0827.png",
+      "answer": "(-\\infty,-1)",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;x1:Number;y1:Number;y1>-6;y1<-2;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(A) = (1, 2);Coordinate(B) = (x1, y1);PointOnCurve(A,C);PointOnCurve(B, C)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 828,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0828.png",
+      "answer": "{ApplyUnit(45,degree),ApplyUnit(135,degree)}",
+      "fact_expr": "l: Line;G: Parabola;H: Circle;A: Point;B: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(Focus(G), l);Intersection(l, G) = {A, B};IsDiameter(LineSegmentOf(A,B),H);Radius(H)=8",
+      "coords": {}
+    },
+    {
+      "index": 829,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0829.png",
+      "answer": "24",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2:Point;Expression(G) = (x^2/49 + y^2/24 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0830.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(OneOf(Focus(G)), Directrix(H)) = True;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 831,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_0831.png",
+      "answer": "5*x^2-(5/4)*y^2=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x = y^2/4);OneOf(Focus(G))=Focus(H);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 832,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0832.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/6 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 833,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 834,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0834.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;E: Hyperbola;b: Number;a: Number;G: Circle;P: Point;Q: Point;F1: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(E) = F1;PointOnCurve(F1, l);Intersection(l, Asymptote(E)) = P;Quadrant(P) = 1;TangentPoint(l, G) = Q;Abs(LineSegmentOf(P, Q)) = 2*Abs(LineSegmentOf(F1, Q));e: Number;Eccentricity(E) = e",
+      "coords": {}
+    },
+    {
+      "index": 835,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 836,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 837,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 838,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 839,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 840,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0840.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;M: Point;P: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(M) = (6, 4);PointOnCurve(P, G);LeftFocus(G) = F1",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 841,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0841.png",
+      "answer": "x^2/4 - y^2/9 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/16 + y^2/3 = 1);Focus(G) = Focus(H);Expression(OneOf(Asymptote(G))) = (y = (3/2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 842,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 843,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0843.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 844,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0844.png",
+      "answer": "9/4",
+      "fact_expr": "H: Line;Expression(H) = (-k + 4*(k*x) - 4*y = 0);k: Number;G: Parabola;Expression(G) = (y^2 = x);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;L: Line;Expression(L) = (x + 1/2 = 0);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 845,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0845.png",
+      "answer": "-14",
+      "fact_expr": "l: Line;C: Parabola;G: Line;M: Point;N: Point;P: Point;F: Point;Expression(C) = (x^2 = 4*y);Focus(C) = F;PointOnCurve(F, G);Slope(G) = 1;Intersection(G, C) = {M, N};IsTangent(l, C);IsParallel(l,LineSegmentOf(M,N));PointOnCurve(P, l)",
+      "coords": {}
+    },
+    {
+      "index": 846,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0846.png",
+      "answer": "(2,+oo)",
+      "fact_expr": "G: Line;Expression(G) = (y = sqrt(3)*x);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;NumIntersection(G, C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 847,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0847.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Slope(OneOf(Asymptote(G))) = -2",
+      "coords": {}
+    },
+    {
+      "index": 848,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0848.png",
+      "answer": "16/3",
+      "fact_expr": "G: Hyperbola;Q:Circle;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(Center(Q), G);PointOnCurve(OneOf(Vertex(G)),Q);PointOnCurve(OneOf(Focus(G)),Q)",
+      "coords": {}
+    },
+    {
+      "index": 849,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0849.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/12 + x^2/a^2 = 1);Eccentricity(G) = e;e:Number;e=2",
+      "coords": {}
+    },
+    {
+      "index": 850,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 851,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0851.png",
+      "answer": "p/y0",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;P: Point;Q: Point;IsChordOf(LineSegmentOf(P, Q), G);x0: Number;y0: Number;Negation(y0=0);M: Point;Coordinate(M) = (x0, y0);MidPoint(LineSegmentOf(P, Q)) = M",
+      "coords": {}
+    },
+    {
+      "index": 852,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0852.png",
+      "answer": "{2,-2}",
+      "fact_expr": "G: Parabola;O:Origin;p:Point;m:Number;Vertex(G)=O;PointOnCurve(Focus(G),xAxis);PointOnCurve(p,G);Coordinate(p)=(1,m);Distance(p,Focus(G))=2",
+      "coords": {}
+    },
+    {
+      "index": 853,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 4.7896847246870875,
+        "b": 2.5151959567993787,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 7.000000000000001
+      },
+      "optimization": {
+        "final_loss": 1.3352682552042877e-05,
+        "converged": true,
+        "iterations": 90
+      },
+      "output_path": "results/train/ellipse/problem_0853.png",
+      "answer": "x^2/25+y^2/7=1",
+      "fact_expr": "G: Ellipse;H: Point;I: Point;Coordinate(H) = (-5, 0);Coordinate(I) = (0, sqrt(7));PointOnCurve(H,G);PointOnCurve(I,G)",
+      "coords": {
+        "H": [
+          -5.0,
+          0.0
+        ],
+        "I": [
+          0.0,
+          2.6457513110645907
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 854,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0854.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Center(G) = F1;HalfFocalLength(C) = c;c: Number;Radius(G) = c;G: Circle;Intersection(G, C) = {P, Q};P: Point;Q: Point;IsTangent(LineSegmentOf(P, F2), G) = True",
+      "coords": {}
+    },
+    {
+      "index": 855,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 856,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 857,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.4813292026519775,
+        "b": 2.2365526058027783,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 6.31275318580922e-05,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/ellipse/problem_0857.png",
+      "answer": "x^2/9+y^2/3=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P1: Point;P2: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P1) = (sqrt(6), 1);Coordinate(P2) = (-sqrt(3), -sqrt(2));PointOnCurve(P1,G);PointOnCurve(P2,G)",
+      "coords": {
+        "P1": [
+          2.449489742783178,
+          1.0
+        ],
+        "P2": [
+          -1.7320508075688772,
+          -1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 858,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0858.png",
+      "answer": "y=x+3",
+      "fact_expr": "C: Ellipse;M: Point;N: Point;D: Point;Expression(C) = (x^2/10 + y^2/5 = 1);Coordinate(D) = (-2, 1);IsChordOf(LineSegmentOf(M,N),C);MidPoint(LineSegmentOf(M,N))=D",
+      "coords": {
+        "D": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 859,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0859.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;m: Number;Coordinate(A) = (2, m);PointOnCurve(A, G);Distance(A, Focus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 860,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 861,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0861.png",
+      "answer": "{1/2, 1/3}",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;Focus(H) = F2;P: Point;OneOf(Intersection(C, H)) = P;Cos(AngleOf(P, F1, F2)) = 5/7",
+      "coords": {}
+    },
+    {
+      "index": 862,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0862.png",
+      "answer": "(0,3/4]",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B};r:Number;Radius(InscribedCircle(TriangleOf(A,B,F2)))=r",
+      "coords": {}
+    },
+    {
+      "index": 863,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0863.png",
+      "answer": "12",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;F1: Point;Expression(C) = (x^2/9 + y^2/5 = 1);Intersection(l, C) = {A, B};LeftFocus(C) = F1;PointOnCurve(RightFocus(C),l)",
+      "coords": {}
+    },
+    {
+      "index": 864,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0864.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "G: Hyperbola;C: Ellipse;Expression(G) = (x^2 - y^2/3 = 1);Focus(G)=Focus(C);Eccentricity(C)=1/2",
+      "coords": {}
+    },
+    {
+      "index": 865,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0865.png",
+      "answer": "(x+pm*2)^2+(y-1)^2=4",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (x^2 = 4*y);PointOnCurve(Center(H), G);IsTangent(Directrix(G),H);IsTangent(yAxis,H)",
+      "coords": {}
+    },
+    {
+      "index": 866,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_0866.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G))=(y=pm*(sqrt(3)*x))",
+      "coords": {}
+    },
+    {
+      "index": 867,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 868,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0868.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;c:Number;B: Point;A: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(B) = (3*c, 0);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, C);IsPerpendicular(LineSegmentOf(A,F2),xAxis);AngleOf(F1,A,B)=ApplyUnit(90,degree);HalfFocalLength(C)=c",
+      "coords": {}
+    },
+    {
+      "index": 869,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 870,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0870.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;UpperVertex(G) = A;LowerVertex(G) = B;M: Point;Intersection(LineOf(A, F2), G) = {A, M};AngleOf(F1, A, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 871,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0871.png",
+      "answer": "(1,\\sqrt{2})",
+      "fact_expr": "m: Line;Expression(m) = (y = k*x + 1);k: Number;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);NumIntersection(m,LeftPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 872,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 873,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0873.png",
+      "answer": "{pm*1, pm*sqrt(2)}",
+      "fact_expr": "l: Line;Expression(l) = (y = k*x + 1);k: Number;C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);NumIntersection(l, C) = 1",
+      "coords": {}
+    },
+    {
+      "index": 874,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0874.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = ApplyUnit(120, degree);IsChordOf(LineSegmentOf(A, B), G);M: Point;MidPoint(LineSegmentOf(A, B)) = M;l: Line;Directrix(G) = l;M1: Point;Projection(M, l) = M1",
+      "coords": {}
+    },
+    {
+      "index": 875,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 876,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0876.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;O: Circle;Expression(O) = (-4*x + x^2 + y^2 - 12 = 0);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = (sqrt(2)/2);Length(MajorAxis(G))=Radius(O)",
+      "coords": {}
+    },
+    {
+      "index": 877,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0877.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F:Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1,y1);Coordinate(B) = (x2,y2);PointOnCurve(F,H);Intersection(H,G) = {A,B};Focus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 878,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0878.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;H:Line;k: Number;A: Point;B: Point;F: Point;a>0;b>0;Negation(k=0);Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = k*x);Intersection(H, C) = {A, B};IsDiameter(LineSegmentOf(A,B),G);RightFocus(C)=F;PointOnCurve(F,G);Area(TriangleOf(A, B, F)) = 4*a^2",
+      "coords": {}
+    },
+    {
+      "index": 879,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0879.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (-2, 3);Distance(H, Focus(G)) = 5",
+      "coords": {
+        "H": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 880,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0880.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "C: Parabola;H:Point;l1:Line;l2:Line;M: Point;N: Point;Expression(C) = (y^2 = 4*x);Coordinate(H) = (0, 1);Expression(l1) = (x - 2*y - 3 = 0);PointOnCurve(H,l2);IsPerpendicular(l1,l2);Intersection(l2, C) = {M, N}",
+      "coords": {
+        "H": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 881,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0881.png",
+      "answer": "2/9",
+      "fact_expr": "P: Point;C: Hyperbola;Expression(C) = (x^2/16 - y^2/9 = 1);PointOnCurve(P, LeftPart(C)) = True;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 882,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0882.png",
+      "answer": "(0,2-sqrt(3))+(2+sqrt(3),+oo)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;F: Point;A: Point;B: Point;t: Real;c:Number;a>0;b>0;t>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l)=(y=sqrt(2)*(x-c));Coordinate(F) = (c, 0);RightFocus(C) = F;Intersection(l,C)={A,B};VectorOf(A, F) = t*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 883,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0883.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;O: Origin;Vertex(C) = O;PointOnCurve(Focus(C), xAxis);G: Line;Expression(G) = (y = x);A: Point;B: Point;Intersection(G, C) = {A, B};P: Point;Coordinate(P) = (2, 2);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 884,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0884.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;C:Curve;G: Circle;r: Number;A: Point;B: Point;F: Point;r>0;Expression(G) = (y^2 + (x - 5)^2 = r^2);Expression(C)=(y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Inclination(l) = ApplyUnit(45, degree);Intersection(l, C) = {A, B};TangentPoint(l,G)=MidPoint(LineSegmentOf(A,B));p: Number;p>0",
+      "coords": {}
+    },
+    {
+      "index": 885,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9980636721375151,
+        "b": 0.9980636721375151,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.454111102587757e-05,
+        "converged": true,
+        "iterations": 69
+      },
+      "output_path": "results/train/hyperbola/problem_0885.png",
+      "answer": "x^2 - y^2 = 1",
+      "fact_expr": "C: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-sqrt(2), 0);Coordinate(F2) = (sqrt(2), 0);Focus(C) = {F1, F2};I: Point;OneOf(Vertex(C)) = I;Coordinate(I) = (1, 0)",
+      "coords": {
+        "F1": [
+          -1.4142135623730951,
+          0.0
+        ],
+        "F2": [
+          1.4142135623730951,
+          0.0
+        ],
+        "I": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 886,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0886.png",
+      "answer": "y=pm*(3/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/36 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 887,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 888,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0888.png",
+      "answer": "3*sqrt(5)",
+      "fact_expr": "G: Parabola;p: Number;M: Point;F: Point;O:Origin;p>0;t:Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (3, t);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = Abs(LineSegmentOf(M, F)) ;Abs(LineSegmentOf(M, F)) = p",
+      "coords": {}
+    },
+    {
+      "index": 889,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 890,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0890.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 891,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0891.png",
+      "answer": "5/2",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = 2*x);PointOnCurve(P, G) = True;Q: Point;Coordinate(Q) = (2, 1)",
+      "coords": {
+        "Q": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 892,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0892.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;c: Number;FocalLength(G) = 2*c;H: Line;Expression(H) = (y = -sqrt(3)*(-c + x));M: Point;OneOf(Intersection(H, G)) = M;AngleOf(M, F2, F1) = 2*AngleOf(M, F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 893,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 10.4933443069458,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 80.80186462402344,
+        "converged": true,
+        "iterations": 470
+      },
+      "output_path": "results/train/parabola/problem_0893.png",
+      "answer": "x^2 = -y/4",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;PointOnCurve(Focus(G),yAxis) = True;H: Point;Coordinate(H) = (1, -4);PointOnCurve(H,G) = True",
+      "coords": {
+        "H": [
+          1.0,
+          -4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 894,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0894.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (2, 3);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 895,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 896,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0896.png",
+      "answer": "{2,8}",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (x^2/4 + y^2/m = 1);Eccentricity(G) = sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 897,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0897.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 898,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0898.png",
+      "answer": "(\\sqrt{2},+\\infty)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(45, degree);NumIntersection(H, RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 899,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 900,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0900.png",
+      "answer": "(9/4, pm*(3*sqrt(3)/2))",
+      "fact_expr": "G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 3*x);PointOnCurve(A, G);Focus(G) = F;H:Line;TangentOnPoint(A,G)=H;Intersection(H,xAxis)=B;AngleOf(B,A,F)=ApplyUnit(30,degree)",
+      "coords": {}
+    },
+    {
+      "index": 901,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0901.png",
+      "answer": "5",
+      "fact_expr": "H: Line;Slope(H) = 2;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 902,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0902.png",
+      "answer": "y^2=2*x",
+      "fact_expr": "G: Parabola;p: Number;p>0;Expression(G) = (y^2 = 2*p*x);Distance(Focus(G),Directrix(G))=1",
+      "coords": {}
+    },
+    {
+      "index": 903,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0903.png",
+      "answer": "(1/2,1)",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;M: Point;F2: Point;P: Point;F1: Point;O: Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F2;LeftFocus(G)=F1;PointOnCurve(P,G);IsPerpendicular(LineOf(F2,M),LineOf(O,P));Intersection(LineOf(F2,M),LineSegmentOf(F1,P))=M;Abs(LineSegmentOf(F1, M)) = 2*Abs(LineSegmentOf(M, P))",
+      "coords": {}
+    },
+    {
+      "index": 904,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0904.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;p: Number;H: Line;M: Point;N: Point;F: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Directrix(G) = l;PointOnCurve(F, H);Intersection(H, G) = M;Intersection(H, l) = N;VectorOf(M, F) = VectorOf(M, N)/3",
+      "coords": {}
+    },
+    {
+      "index": 905,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0905.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;Center(G) = O;O: Origin;Eccentricity(G) = sqrt(3);H: Parabola;Expression(H) = (y^2 = 4*x);OneOf(Directrix(G)) = Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 906,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0906.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "l: Line;E: Ellipse;A: Point;F1: Point;B: Point;F2: Point;O:Origin;Expression(E) = (x^2/4 + y^2/3 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(O,l);Intersection(l, E) = {A, B};IsPerpendicular(LineSegmentOf(A,F1),xAxis);IsPerpendicular(LineSegmentOf(B,F2),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 907,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 908,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0908.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G)=(y^2 = 4*x);Coordinate(A)=(x1,y1);Coordinate(B)=(x2,y2);PointOnCurve(Focus(G),H);Intersection(H, G) ={A,B};x1+x2=6",
+      "coords": {}
+    },
+    {
+      "index": 909,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0909.png",
+      "answer": "24",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;l1: Line;l2: Line;k1: Number;k2: Number;Slope(l1) = k1;Slope(l2) = k2;PointOnCurve(F, l1);PointOnCurve(F, l2);A: Point;B: Point;Intersection(l1, C) = {A, B};D: Point;E: Point;Intersection(l2, C) = {D, E};k1*k2 = -2",
+      "coords": {}
+    },
+    {
+      "index": 910,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0910.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;c: Number;FocalLength(C) = 2*c;A: Point;RightVertex(C) = A;M: Point;N: Point;PointOnCurve(M,l) = True;PointOnCurve(N,l) = True;Abs(LineSegmentOf(A, M)) = Abs(LineSegmentOf(A, N));AngleOf(M, A, N) = ApplyUnit(120, degree);Abs(LineSegmentOf(A, N)) = c;l: Line;OneOf(Asymptote(C)) = l",
+      "coords": {}
+    },
+    {
+      "index": 911,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0911.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (y = x + 2)",
+      "coords": {}
+    },
+    {
+      "index": 912,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 913,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0913.png",
+      "answer": "sqrt(5)+2*sqrt(2)",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;F: Point;Expression(G) = (x^2/2 + y^2 = 1);Coordinate(A) = (0, 1/2);RightFocus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 914,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0914.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Circle;H: Line;A: Point;B: Point;P: Point;k:Number;k>0;Expression(C) = (y^2 = 8*x);Coordinate(P) = (1, 0);PointOnCurve(P, H);Slope(H) = k;Intersection(H, C) = {A, B};IsDiameter(LineSegmentOf(A,B),G);Length(InterceptChord(xAxis,G))=Length(InterceptChord(yAxis,G))",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 915,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0915.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) ={F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 916,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0916.png",
+      "answer": "(2-sqrt(2))/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;Slope(l)<0;A: Point;Coordinate(A) = (1, 2);B: Point;Intersection(l, G) = {A, B};Q: Point;MidPoint(LineSegmentOf(A, B)) = Q;l1: Line;PointOnCurve(Q, l1);IsPerpendicular(l1, yAxis);C: Point;Intersection(l1, G) = C;P: Point;2*VectorOf(Q, C) = VectorOf(C, P);O: Origin",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 917,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0917.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F1), VectorOf(P, F2));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 918,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0918.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G);XCoordinate(P) = 3",
+      "coords": {}
+    },
+    {
+      "index": 919,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0919.png",
+      "answer": "1/3 + 2*sqrt(21)/3",
+      "fact_expr": "G: Ellipse;C: Circle;P: Point;Q: Point;Expression(G) = (x^2 + 4*y^2 = 4);Expression(C) = (x^2 + (y - 2)^2 = 1/9);PointOnCurve(P, C);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 920,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_0920.png",
+      "answer": "-12",
+      "fact_expr": "C: Hyperbola;a: Number;G: Parabola;m: Real;a>0;Expression(C) = (-y^2/4 + x^2/a^2 = 1);Expression(G) = (y^2 = m*x);Eccentricity(C)=2*sqrt(5)/5;LeftFocus(C)=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 921,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 922,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0922.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 923,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0923.png",
+      "answer": "x-4*y+3=0",
+      "fact_expr": "G: Parabola;L: Line;A: Point;B: Point;M: Point;Expression(G) = (x^2 = 8*y);Coordinate(M) = (1, 1);Intersection(L,G)={A,B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 924,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0924.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;PointOnCurve(F, G);G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), C) ;Distance(MidPoint(LineSegmentOf(A, B)), xAxis) = 5",
+      "coords": {}
+    },
+    {
+      "index": 925,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 926,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_0926.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (2, 3);PointOnCurve(H, G);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {
+        "H": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0927.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 928,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 929,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0929.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;l: Line;OneOf(Asymptote(C)) = l;Inclination(l) = pi/3;Distance(OneOf(Focus(C)), l) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 930,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0930.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;A: Point;B: Point;F1: Point;F2: Point;a>0;b>0;Focus(G) = {F1, F2};L:Line;IsPerpendicular(L,xAxis);Intersection(L,G)={A,B};PointOnCurve(F2, L);Radius(InscribedCircle(TriangleOf(A,B,F1)))=a",
+      "coords": {}
+    },
+    {
+      "index": 931,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0931.png",
+      "answer": "12",
+      "fact_expr": "G:Parabola;Expression(G) = (y^2 = 4*x);F:Point;Focus(G)=F;l:Line;A: Point;B: Point;Intersection(l,G)={A,B};M: Point;PointOnCurve(F, l);MidPoint(LineSegmentOf(A,B))=M;Distance(M,Directrix(G))=6",
+      "coords": {}
+    },
+    {
+      "index": 932,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0932.png",
+      "answer": "2\n(2/3)*pi",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 933,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0933.png",
+      "answer": "{sqrt(6)/2,sqrt(6)/3}",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Real;a>0;Eccentricity(G) = sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 934,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0934.png",
+      "answer": "y=pm*sqrt(3)*(x-1/2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);F: Point;Focus(C)= F;l: Line;PointOnCurve(F, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 935,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0935.png",
+      "answer": "32",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;P: Point;Coordinate(P) = (4, 0);PointOnCurve(P, H);A: Point;x1: Number;y1: Number;Coordinate(A) = (x1, y1);B: Point;x2: Number;y2: Number;Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B}",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 936,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0936.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 2",
+      "coords": {}
+    },
+    {
+      "index": 937,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0937.png",
+      "answer": "(4, 2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x - y = 2);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 938,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 939,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 940,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0940.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;H: Line;Inclination(H) = pi/4;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = M",
+      "coords": {}
+    },
+    {
+      "index": 941,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0941.png",
+      "answer": "(0,sqrt(6)/3]",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;A: Point;P: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0, 2*b);PointOnCurve(P,C);Abs(LineSegmentOf(P,A))<=3*b",
+      "coords": {}
+    },
+    {
+      "index": 942,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0942.png",
+      "answer": "8/5",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(RightFocus(G), l);Slope(l)=1;Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 943,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0943.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y - 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 944,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0944.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 8*x);Coordinate(M) = (x0, y0);PointOnCurve(M, G);Distance(M, Focus(G)) = 6;x0:Number;y0:Number",
+      "coords": {}
+    },
+    {
+      "index": 945,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0945.png",
+      "answer": "1/8",
+      "fact_expr": "G: Parabola;F: Point;l: Line;Expression(G) = (y = 4*x^2);Focus(G) = F;Directrix(G) = l",
+      "coords": {}
+    },
+    {
+      "index": 946,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0946.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F1, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 947,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 948,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 949,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0949.png",
+      "answer": "x^2 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;M: Point;F2: Point;O: Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(M, G);AngleOf(F1, M, F2) = ApplyUnit(120, degree);Abs(LineSegmentOf(O,M))=sqrt(3)*a;Area(TriangleOf(F1,M,F2))=2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 950,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0950.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 951,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0951.png",
+      "answer": "9/4",
+      "fact_expr": "O: Origin;F: Point;Focus(C) = F;C: Parabola;Expression(C) = (y^2 = 2*x);l: Line;Expression(l) = (y = m*(2*x - 1));A: Point;B: Point;Intersection(l, C) = {A, B};Quadrant(A) = 1;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));m: Number",
+      "coords": {}
+    },
+    {
+      "index": 952,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0952.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Line;PointOnCurve(Focus(G), H);IsPerpendicular(H, SymmetryAxis(G));A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 953,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0953.png",
+      "answer": "(9/4,3)",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 3);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P,A))+Abs(LineSegmentOf(P,F)))",
+      "coords": {
+        "A": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 954,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0954.png",
+      "answer": "{sqrt(2), sqrt(10)/3}",
+      "fact_expr": "G: Line;Expression(G) = (y = a);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;Intersection(G, OneOf(Asymptote(C))) = P;A2: Point;A1: Point;LeftVertex(C) = A1;RightVertex(C) = A2;Abs(LineSegmentOf(P, A2)) = (sqrt(5)/2)*Abs(LineSegmentOf(A1, A2))",
+      "coords": {}
+    },
+    {
+      "index": 955,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 956,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0956.png",
+      "answer": "[\\sqrt{2}/2, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 957,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 958,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0958.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (-1, 8);P: Point;PointOnCurve(P, G) = True",
+      "coords": {
+        "A": [
+          -1.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 959,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 960,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0960.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;M: Point;Intersection(Directrix(G), xAxis) = M;N: Point;PointOnCurve(N, G);Abs(LineSegmentOf(M, N)) = 2*Abs(LineSegmentOf(N, F))",
+      "coords": {}
+    },
+    {
+      "index": 961,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0961.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F,H);Slope(H) = 1;NumIntersection(H,G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 962,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0962.png",
+      "answer": "-sqrt(15)/sqrt(15)",
+      "fact_expr": "Slope(l) = k;k: Number;k<0;l: Line;F: Point;Coordinate(F) = (0, 1);PointOnCurve(F, l) ;H: Curve;Expression(H) = (y = x^2/4)&(x>=0);G: Line;Expression(G) = (y = -1);Intersection(l, H) = A;Intersection(l, G) = B;B: Point;A: Point;Abs(LineSegmentOf(F, B)) = 5*Abs(LineSegmentOf(F, A))",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 963,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0963.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;M: Point;N: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (1, 0);PointOnCurve(A, H);Inclination(H)=pi/4;Intersection(H,G)={M,N}",
+      "coords": {
+        "A": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 964,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0964.png",
+      "answer": "2",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = -8*x);G: Hyperbola;Expression(G) = (-y^2/3 + x^2/m = 1);m: Number;PointOnCurve(RightFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 965,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 966,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0966.png",
+      "answer": "16",
+      "fact_expr": "C: Parabola;l1:Line;l2:Line;A: Point;B: Point;D: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F,l1);PointOnCurve(F,l2);IsPerpendicular(l1,l2);Intersection(l1,C)={A,B};Intersection(l2,C)={D,E}",
+      "coords": {}
+    },
+    {
+      "index": 967,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 968,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0968.png",
+      "answer": "2*x+pm*3*y=0",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (x^2/9 - y^2/a = 1);Coordinate(RightFocus(G)) = (sqrt(13), 0)",
+      "coords": {}
+    },
+    {
+      "index": 969,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0969.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l) = True;Intersection(l, G) = {A, B};A: Point;B: Point;XCoordinate(A) + XCoordinate(B) = 5",
+      "coords": {}
+    },
+    {
+      "index": 970,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0970.png",
+      "answer": "10",
+      "fact_expr": "C: Parabola;p: Number;P: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (3, y0);y0: Number;PointOnCurve(P, C);Distance(P, Directrix(C)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 971,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0971.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;L:Line;PointOnCurve(F1, L);IsPerpendicular(L,xAxis);Intersection(L, G) = P;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 972,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 973,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0973.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;H: Circle;M: Point;l:Line;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Center(H)=M;IsTangent(xAxis,H);Directrix(G)=l;IsTangent(l,H);O:Point;Vertex(G)=O",
+      "coords": {}
+    },
+    {
+      "index": 974,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0974.png",
+      "answer": "-3",
+      "fact_expr": "l: Line;M: Point;Coordinate(M) = (0, 3);PointOnCurve(M, l);G: Parabola;Expression(G) = (y = x^2);E: Point;F: Point;Intersection(l, G) = {E, F};Negation(IsPerpendicular(l, yAxis));P: Point;t: Real;Coordinate(P) = (0, t);PointOnCurve(P, yAxis);PointOnCurve(Incenter(TriangleOf(P, E, F)), yAxis)",
+      "coords": {
+        "M": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 975,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0975.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B))=M;L:Line;PointOnCurve(M,L);IsPerpendicular(L,Directrix(G));Intersection(L,G)=P;IsChordOf(LineSegmentOf(A,B),G);Abs(LineSegmentOf(P, F)) = 3/2;M:Point",
+      "coords": {}
+    },
+    {
+      "index": 976,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 977,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0977.png",
+      "answer": "-2/9",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;Expression(G) = (x^2/9+y^2/4 = 1);IsChordOf(LineSegmentOf(A, B), G);l: Line;Expression(l) = (x+2*y-3 = 0);IsPerpendicular(LineSegmentOf(A, B), l);P: Point;MidPoint(LineSegmentOf(A, B)) = P;O: Point;Center(G) = O",
+      "coords": {}
+    },
+    {
+      "index": 978,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0978.png",
+      "answer": "sqrt(2) +1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H) = True;IsPerpendicular(H, xAxis) = True;H: Line;Intersection(H, G) = {A, B};B: Point;A: Point;DotProduct(VectorOf(F1, A), VectorOf(F1, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 979,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 980,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_0980.png",
+      "answer": "(x - \\sqrt{3}/2)^2 + (y - 1/2)^2 = 1",
+      "fact_expr": "O: Circle;G: Line;M: Point;N: Point;P: Point;Expression(O) = (x^2 + y^2 = 16);Coordinate(P) = (sqrt(3), 1);PointOnCurve(P, G);Intersection(G, O) = {M, N};IsChordOf(LineSegmentOf(M, N), O);Q: Point;MidPoint(LineSegmentOf(M, N)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 981,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.0654510707333538,
+        "b": 2.6632060182000887,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.6995812463854516e-05,
+        "converged": true,
+        "iterations": 75
+      },
+      "output_path": "results/train/hyperbola/problem_0981.png",
+      "answer": "sqrt(29)/5",
+      "fact_expr": "C: Hyperbola;G: Point;Coordinate(G) = (3, 8);Expression(Asymptote(C)) = (y = pm*(5/2)*x);PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          3.0,
+          8.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 982,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0982.png",
+      "answer": "9",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Distance(A, Directrix(C)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 983,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0983.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 984,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 985,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0985.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/b^2 - y^2/a^2 = 1);b: Number;a: Number;l1: Line;l2: Line;Asymptote(G) = {l1, l2};IsPerpendicular(l1, l2)",
+      "coords": {}
+    },
+    {
+      "index": 986,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0986.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "l: Line;C: ConicSection;a: Number;P: Point;Expression(C) = (y^2/16 + x^2/a = 1);Coordinate(P) = (-1, 6);Expression(l)=(y=a*x+2);PointOnCurve(P,l)",
+      "coords": {
+        "P": [
+          -1.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 987,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0987.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/4 = 1);PointOnCurve(P,G);Focus(G)={F1, F2};DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 988,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0988.png",
+      "answer": "sqrt(30)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);Quadrant(P) = 1;lambda: Number;Abs(LineSegmentOf(P, A)) = lambda*Abs(LineSegmentOf(P, B));AngleOf(P, B, A) = 2*AngleOf(P, A, B)",
+      "coords": {}
+    },
+    {
+      "index": 989,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0989.png",
+      "answer": "(0,pm*1)",
+      "fact_expr": "G: Ellipse;F1: Point;A: Point;F2: Point;B: Point;Expression(G) = (x^2/3 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(F1, A) = 5*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 990,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0990.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;PointOnCurve(A, C) = True;Center(G) = F;Radius(G) = LineSegmentOf(F, A);G: Circle;Intersection(G, l) = {B, D};B: Point;D: Point;AngleOf(B, F, D) = ApplyUnit(120, degree);Area(TriangleOf(A, B, D)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 991,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_0991.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;M: Point;m: Number;Coordinate(M) = (4, m);PointOnCurve(M, G);Distance(M, Directrix(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 992,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0992.png",
+      "answer": "4*sqrt(7)",
+      "fact_expr": "C: Hyperbola;M: Point;N: Point;O: Origin;Expression(C) = (x^2/9-y^2/4 = 1);Expression(LineOf(M,N))=(y=x/3+2);Intersection(LineOf(M,N),C)={M,N}",
+      "coords": {}
+    },
+    {
+      "index": 993,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0993.png",
+      "answer": "3/2",
+      "fact_expr": "A: Point;F: Point;Focus(Gamma) = F;Gamma: Parabola;Expression(Gamma) = (y^2 = 4*x);PointOnCurve(A, Gamma) = True;Negation(A = O);O: Origin;Intersection(PerpendicularBisector(LineSegmentOf(O, A)), xAxis) = B;B: Point;VectorOf(A, F) = 2*VectorOf(C, F)",
+      "coords": {}
+    },
+    {
+      "index": 994,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0994.png",
+      "answer": "(1, -4)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 16*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);B: Point;Coordinate(B) = (-4, 6);WhenMax(Abs(LineSegmentOf(P, B))/Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "B": [
+          -4.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 995,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_0995.png",
+      "answer": "8*sqrt(3)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);M: Point;PointOnCurve(M, G);F: Point;Focus(G) = F;AngleOf(M, F, O) = ApplyUnit(120, degree);N: Point;Coordinate(N) = (-2, 0);O: Origin",
+      "coords": {
+        "N": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 996,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_0996.png",
+      "answer": "96/5",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Distance(P,LeftFocus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 997,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0997.png",
+      "answer": "16",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/25 + y^2/16 = 1);Focus(C)={F1,F2};PointOnCurve(P,C)",
+      "coords": {}
+    },
+    {
+      "index": 998,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_0998.png",
+      "answer": "(pm*sqrt(6),-1)",
+      "fact_expr": "G: Ellipse;Q: Point;P: Point;Expression(G) = (x^2/8 + y^2/4 = 1);Coordinate(Q) = (0, 1);PointOnCurve(P, G);WhenMax(Distance(P,Q))",
+      "coords": {
+        "Q": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 999,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1000,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1001,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1001.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;O: Origin;B: Point;PointOnCurve(F, l);Intersection(l, C) = {A, B};P: Point;Q: Point;F: Point;Focus(C) = F;Intersection(LineOf(O,A),Directrix(C))=P;Intersection(LineOf(O,B),Directrix(C))=Q",
+      "coords": {}
+    },
+    {
+      "index": 1002,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1003,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1003.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "l: Line;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;OneOf(Focus(C)) = F;PointOnCurve(F, l) = True;IsPerpendicular(l, RealAxis(C)) = True;A: Point;B:Point;Vertex(C) = {A, B};P: Point;PointOnCurve(P, l) = True;AngleOf(A, P, B) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1004,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1004.png",
+      "answer": "16*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 64",
+      "coords": {}
+    },
+    {
+      "index": 1005,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1005.png",
+      "answer": "(1/4,1)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (1, 1);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1006,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1006.png",
+      "answer": "(8*sqrt(34))/17",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;m: Number;Coordinate(M) = (1, m);PointOnCurve(M, G);F: Point;Focus(G) = F;Distance(M, F) = 5;d: Number;Distance(Vertex(G), LineOf(M, F)) = d",
+      "coords": {}
+    },
+    {
+      "index": 1007,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1007.png",
+      "answer": "sqrt(41)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;M: Point;Intersection(l, xAxis) = M;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1008,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1008.png",
+      "answer": "4*a",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F1, H);P: Point;Q: Point;Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 1009,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1009.png",
+      "answer": "5*sqrt(2)/3",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + y^2/2 = 1);Expression(H) = (y = 2*x - 1)",
+      "coords": {}
+    },
+    {
+      "index": 1010,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1010.png",
+      "answer": "12/5",
+      "fact_expr": "G: Ellipse;F2: Point;M: Point;F1: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Focus(G)={F1,F2};PointOnCurve(M, G);IsPerpendicular(LineSegmentOf(M,F1),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1011,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1012,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1013,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1014,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1014.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2/4 - y^2/5 = 1);Expression(H) = (x + 2*y - 8 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1015,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1015.png",
+      "answer": "[-1,4]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1016,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1016.png",
+      "answer": "(x - 5)^2 + y^2 = 9",
+      "fact_expr": "C: Hyperbola;E: Circle;Expression(C) = (x^2/16 - y^2/9 = 1);Center(E) = RightFocus(C);IsTangent(Asymptote(C), E)",
+      "coords": {}
+    },
+    {
+      "index": 1017,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1018,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1018.png",
+      "answer": "pm*sqrt(2)",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2 + x^2/m^2 = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1019,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1019.png",
+      "answer": "x=1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x)",
+      "coords": {}
+    },
+    {
+      "index": 1020,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25031906366348267,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 9.454704922973178e-06,
+        "converged": true,
+        "iterations": 108
+      },
+      "output_path": "results/train/parabola/problem_1020.png",
+      "answer": "x^2 = y",
+      "fact_expr": "G: Parabola;H: Point;O: Origin;Coordinate(H) = (2, 4);PointOnCurve(H, G);Vertex(G) = O;PointOnCurve(Focus(G), yAxis)",
+      "coords": {
+        "H": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1021,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1021.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "l: Line;Expression(l) = (y=2*(x-sqrt(5)));C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(C) = F;F: Point;PointOnCurve(F,l) = True;NumIntersection(l,C) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1022,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_1022.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "C1: Hyperbola;C2: Parabola;M: Point;F: Point;Expression(C1)=(x^2/a^2 - y^2/b^2 = 1);Eccentricity(C1)=2;RightFocus(C1)=F;Focus(C2)=F;Center(C1)=Vertex(C2);Intersection(C1,C2)=M;Abs(LineSegmentOf(M, F)) = 5;a:Number;b:Number;a>0;b>0",
+      "coords": {}
+    },
+    {
+      "index": 1023,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1024,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1025,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1025.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;e:Number;Expression(G) = (x^2 - y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Eccentricity(G)=e;PointOnCurve(P,G);AngleOf(P,F2,F1)=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 1026,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1027,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1027.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Length(MajorAxis(C)) = 4;FocalLength(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1028,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1029,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1029.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/12 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1030,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1030.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(RightFocus(G), H);Slope(H) = 2;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1031,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1031.png",
+      "answer": "(\\sqrt{7}-2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;D: Point;XCoordinate(D) = a/3;PointOnCurve(D, G) = True;Distance(D, LeftFocus(G)) > Distance(D, RightDirectrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 1032,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1032.png",
+      "answer": "sqrt(30)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 2*y^2 = 4);H:LineSegment;IsChordOf(H,G);Coordinate(MidPoint(H))=(1,1)",
+      "coords": {}
+    },
+    {
+      "index": 1033,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1034,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0707900524139404,
+        "b": 1.5409371596115455,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.1717604031648706e-06,
+        "converged": true,
+        "iterations": 78
+      },
+      "output_path": "results/train/ellipse/problem_1034.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(G) = 2/3;F: Point;RightFocus(G) = F;l: Line;PointOnCurve(F,l) = True;Slope(l) = k;k: Number;Intersection(l,G) = {A,B};A: Point;B: Point;VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1035,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          4.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1035.png",
+      "answer": "6*x-8*y-21=0",
+      "fact_expr": "M: Circle;P: Point;O: Origin;T: Point;L:Line;Expression(M)=((x - 3)^2 + (y - 4)^2 = 4);PointOnCurve(P, L);TangentOfPoint(P, M)=L;TangentPoint(L,M)=T;LineSegmentOf(P, O) = LineSegmentOf(P, T)",
+      "coords": {}
+    },
+    {
+      "index": 1036,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1036.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;C: Circle;a>0;b>0;l1: Line;l2: Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C) = (-6*x + x^2 + y^2 + 5 = 0);Asymptote(G) = {l1, l2};IsTangent(l1, C);IsTangent(l2, C)",
+      "coords": {}
+    },
+    {
+      "index": 1037,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "y",
+        "x_coef": 27.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1037.png",
+      "answer": "y^2/4 - x^2/5 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/27 + y^2/36 = 1);Focus(G) = Focus(H);IsIntersect(G,H) = True;Coordinate(OneOf(Intersection(G,H))) = (sqrt(15),4)",
+      "coords": {}
+    },
+    {
+      "index": 1038,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_1038.png",
+      "answer": "{x^2/36 - y^2/64 = 1, y^2/64 - x^2/36 = 1}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(4/3)*x);FocalLength(G) = 20",
+      "coords": {}
+    },
+    {
+      "index": 1039,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1039.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G:Line;O: Origin;D: Point;E: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x = a);l1:Line;l2:Line;Asymptote(C)={l1,l2};Intersection(l1,G)=D;Intersection(l2,G)=E;FocalLength(C) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1040,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1040.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Z: Line;PointOnCurve(F2, Z);IsPerpendicular(Z, xAxis);P: Point;OneOf(Intersection(Z, G)) = P;AngleOf(P, F1, F2) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 1041,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1041.png",
+      "answer": "x^2 = sqrt(3)*y",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A:Point;B:Point;p>0;Expression(G) = (x^2 = 2*p*y);Inclination(H)=ApplyUnit(60,degree);Intersection(H,G)={A,B};XCoordinate(A)+XCoordinate(B)=3",
+      "coords": {}
+    },
+    {
+      "index": 1042,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1042.png",
+      "answer": "x^2/2 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/4 + y^2/2 = 1);Focus(H) = Vertex(G);Vertex(H)=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1043,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1043.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Parabola;H: Ellipse;k: Number;Expression(G) = (y^2 = 12*x);k>0;Expression(H) = (k*y^2 + x^2 = 3*k);OneOf(Focus(H)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1044,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1044.png",
+      "answer": "(0,1/2)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(G) = c;a*c - b^2 + c^2 < 0;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1045,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1045.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Negation(P=LeftVertex(G));Negation(P=RightVertex(G))",
+      "coords": {}
+    },
+    {
+      "index": 1046,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1046.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "G: Parabola;p: Number;H: Line;F: Point;B: Point;A: Point;A1: Point;B1: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};L1: Line;L2: Line;PointOnCurve(A, L1);PointOnCurve(B, L2);IsPerpendicular(L1, Directrix(G));IsPerpendicular(L2, Directrix(G));FootPoint(L1, Directrix(G)) = A1;FootPoint(L2, Directrix(G)) = B1",
+      "coords": {}
+    },
+    {
+      "index": 1047,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1047.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;L: Line;PointOnCurve(F1, L);IsPerpendicular(L, Asymptote(G));M: Point;FootPoint(L, Asymptote(G)) = M;O: Origin;Tan(AngleOf(M, F1, O)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 1048,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1048.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Parabola;p: Number;P: Point;Q: Point;M: Point;N: Point;F: Point;L: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(P,G);PointOnCurve(Q,G);MidPoint(LineSegmentOf(P,Q)) = M;PointOnCurve(M, L);IsPerpendicular(L, Directrix(G));FootPoint(L, Directrix(G))=N;Abs(LineSegmentOf(M, N)) = Abs(LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 1049,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1049.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;RightVertex(C) = A;G: Line;Expression(G) = (x = a/2);M: Point;N: Point;Intersection(G, C) = {M, N};DotProduct(VectorOf(A, M), VectorOf(A, N)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1050,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1050.png",
+      "answer": "[2*sqrt(2), 4)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);M: Point;PointOnCurve(M, C);C1: Circle;A: Point;B: Point;D: Point;Coordinate(A) = (5,0);Coordinate(B) = (2,sqrt(3));Coordinate(D) = (3,-2);PointOnCurve(A,C1);PointOnCurve(B,C1);PointOnCurve(D,C1);l1: Line;l2: Line;PointOnCurve(M,l1);PointOnCurve(M,l2);IsTangent(l1,C1);IsTangent(l2,C1);TangentPoint(l1,C1) = P;TangentPoint(l2,C1) = Q;P: Point;Q: Point",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ],
+        "B": [
+          2.0,
+          1.7320508075688772
+        ],
+        "D": [
+          3.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 1051,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1051.png",
+      "answer": "x^2 - y^2 = 1",
+      "fact_expr": "C: Hyperbola;G: Parabola;a:Number;b:Number;a>0;b>0;P: Point;l: Line;l1: Line;l2: Line;Expression(G) = (y^2 = 4*x);Coordinate(P) = (0, b);Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(G),l);PointOnCurve(P,l);IsParallel(l,l1);IsPerpendicular(l,l2);OneOf(Asymptote(C)) = l1;OneOf(Asymptote(C)) = l2;Negation(l1=l2)",
+      "coords": {}
+    },
+    {
+      "index": 1052,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1053,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1053.png",
+      "answer": "12/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1054,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1054.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Coordinate(P) = (x0, -2);Intersection(Directrix(H),OneOf(Asymptote(G)))=P;x0:Number",
+      "coords": {}
+    },
+    {
+      "index": 1055,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_1055.png",
+      "answer": "3*x^2/4-y^2/4=1",
+      "fact_expr": "C: Hyperbola;Expression(Asymptote(C)) = (y = pm*(sqrt(3)*x));G: Point;Coordinate(G) = (2, 2*sqrt(2));PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          2.0,
+          2.8284271247461903
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1056,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1056.png",
+      "answer": "7/6",
+      "fact_expr": "C: Parabola;p: Number;M: Point;F: Point;A: Point;B: Point;N: Point;Expression(C) = (x^2 = 2*p*y);Coordinate(M) = (2*sqrt(3), 0);Focus(C) = F;Intersection(LineOf(F,M),C)={A,B};Between(B,F,M);Intersection(LineOf(F,M),Directrix(C))=N;Abs(LineSegmentOf(B, N)) = 7*Abs(LineSegmentOf(B, F))",
+      "coords": {
+        "M": [
+          3.4641016151377544,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1057,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1057.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;C: Circle;r: Number;P: Point;Expression(G) = (x^2 = 4*y);r>0;Expression(C) = ((x - 1)^2 + (y - 2)^2 = r^2);Intersection(G,C)=P;IsTangent(TangentOnPoint(P,G),C)",
+      "coords": {}
+    },
+    {
+      "index": 1058,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1058.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);Quadrant(A)=1;Distance(A, Directrix(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1059,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1060,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1060.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;y1: Number;Coordinate(P) = (2, y1);PointOnCurve(P, G);F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1061,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1061.png",
+      "answer": "97+56*sqrt(3)",
+      "fact_expr": "G: Parabola;p: Number;l: Line;O: Origin;F: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(l) = (-p/2 + x - sqrt(3)*y = 0);Focus(G) = F;Intersection(G, l) = {A, B};Quadrant(A)=1;Quadrant(B)=4",
+      "coords": {}
+    },
+    {
+      "index": 1062,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1062.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;M: Point;A: Point;B: Point;k:Number;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (y = k*(x + sqrt(3)));Coordinate(M) = (sqrt(3), 0);Intersection(G, H) = {A, B}",
+      "coords": {
+        "M": [
+          1.7320508075688772,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1063,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1064,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1065,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1065.png",
+      "answer": "1/2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;H: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y^2 = 4*x);Coordinate(H) = (0, 2);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(H, l);Intersection(l, G) = {A, B}",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1066,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1066.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(Asymptote(G)) = (y = pm*(x/2))",
+      "coords": {}
+    },
+    {
+      "index": 1067,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1067.png",
+      "answer": "{x-y-2=0, x+y+2=0}",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/3 = 1);l: Line;k:Number;Expression(l) = (y = k*x - 2);A: Point;B: Point;Intersection(l, C) = {A, B};P: Point;Coordinate(P) = (0, 1);Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B))",
+      "coords": {
+        "P": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1068,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1068.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B:Point;F: Point;M: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(F, G);Inclination(G)=ApplyUnit(60,degree);Intersection(G, C) = {A,B};Quadrant(A)=1;L:Line;PointOnCurve(A,L);IsPerpendicular(l,L);FootPoint(l,L)=M",
+      "coords": {}
+    },
+    {
+      "index": 1069,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch;ellipse_focus_mismatch",
+      "params": {
+        "a": 2.8909608023808606,
+        "b": 2.375632646735382,
+        "major_axis": "x",
+        "x_coef": 8.000000000000002,
+        "y_coef": 6.000000000000001
+      },
+      "optimization": {
+        "final_loss": 2.1275904167232744e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_1069.png",
+      "answer": "x^2/8+y^2/6=1",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;O: Origin;Coordinate(F1) = (-sqrt(2), 0);Coordinate(F2) = (sqrt(2), 0);Center(G) = O;Focus(G)={F1,F2};Eccentricity(G) = 1/2",
+      "coords": {
+        "F1": [
+          -1.4142135623730951,
+          0.0
+        ],
+        "F2": [
+          1.4142135623730951,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_ecc_mismatch",
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1070,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1070.png",
+      "answer": "(6*sqrt(5)-10)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);M: Point;PointOnCurve(M, G);F: Point;LeftFocus(G) = F;A: Point;Coordinate(A) = (-2, 1);WhenMin(Abs(VectorOf(A, M)) + (3/2)*Abs(VectorOf(M, F)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1071,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1071.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;P: Point;Q: Point;F: Point;O: Origin;T: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, Q), l) ;FootPoint(LineSegmentOf(P, Q), l)= Q;Intersection(LineSegmentOf(Q, F), yAxis) = T;Abs(LineSegmentOf(O, T)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1072,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1073,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.2117717266082764,
+        "b": 1.940546499547044,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 9.025489068839395e-07,
+        "converged": true,
+        "iterations": 109
+      },
+      "output_path": "results/train/ellipse/problem_1073.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/4 + x^2/m^2 = 1);m: Number;H: Point;Coordinate(H) = (-2, sqrt(3));PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          -2.0,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1074,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1075,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1075.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1076,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1076.png",
+      "answer": "sqrt(26)/2",
+      "fact_expr": "G: Line;Expression(G) = (y = 5*x - 3);H: Curve;Expression(H) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 1077,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_1077.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Parabola;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 = 8*x);Eccentricity(C) = sqrt(2);Intersection(C,Directrix(G)) = {A, B};Abs(LineSegmentOf(A, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1078,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1078.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "M: Point;Coordinate(M) = (1, 1);G: Line;PointOnCurve(M, G) = True;Slope(G) = -1/2;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Intersection(G, C) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1079,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_1079.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(C)) = (y = pm*(sqrt(3)*x));PointOnCurve(P, RightPart(C));LeftFocus(C) = F1;RightFocus(C) = F2;Min(DotProduct(VectorOf(O,P),VectorOf(O,F2)))=2*a",
+      "coords": {}
+    },
+    {
+      "index": 1080,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1080.png",
+      "answer": "7*sqrt(5)/10",
+      "fact_expr": "G: Parabola;H: Line;M: Point;N: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (2*x - y + 4 = 0);PointOnCurve(M, G);PointOnCurve(N, H)",
+      "coords": {}
+    },
+    {
+      "index": 1081,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1081.png",
+      "answer": "(1, (1+sqrt(5))/2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, Asymptote(G));P: Point;FootPoint(L, Asymptote(G)) = P;Q: Point;Intersection(L, yAxis) = Q;O: Origin;Abs(LineSegmentOf(F, P)) < Abs(LineSegmentOf(O, Q))",
+      "coords": {}
+    },
+    {
+      "index": 1082,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1082.png",
+      "answer": "{0, -1/2}",
+      "fact_expr": "G: Line;Expression(G) = (y = a*x - 1);a: Real;H: Curve;Expression(H) = (y^2 = 2*x);NumIntersection(G, H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1083,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1083.png",
+      "answer": "2*sqrt(2) - 3",
+      "fact_expr": "G: Ellipse;C: Circle;P: Point;A: Point;B: Point;l1: Line;l2: Line;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(C) = (y^2 + (x - 1)^2 = 1);PointOnCurve(P, G);TangentOfPoint(P, C) = {l1, l2};TangentPoint(l1, C) = A;TangentPoint(l2, C) = B",
+      "coords": {}
+    },
+    {
+      "index": 1084,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1084.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1085,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1085.png",
+      "answer": "30/13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,F2),xAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 1086,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1087,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1087.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;F1: Point;F2:Point;P: Point;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (x^2/4 + y^2 = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};OneOf(Intersection(G,H))=P",
+      "coords": {}
+    },
+    {
+      "index": 1088,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1089,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1089.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;M: Point;F: Point;Expression(G) = (y = x^2/8);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Intersection(Directrix(G), yAxis) = M;WhenMax(Abs(LineSegmentOf(A,M))/Abs(LineSegmentOf(A,F)));IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 1090,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1090.png",
+      "answer": "{3,5}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1091,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1092,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1093,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1093.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P:Point;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 1094,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1094.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 2*x);PointOnCurve(A, G);PointOnCurve(B, G);Distance(A, Focus(G))+Distance(B,Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1095,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1096,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1097,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1097.png",
+      "answer": "{4,2*sqrt(2)}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/2 + x^2/m = 1);Eccentricity(G) = sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 1098,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1098.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};Abs(LineSegmentOf(F1, F2)) = 2*sqrt(2);P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = a;IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1099,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1099.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;m: Real;H: Ellipse;Expression(G) = (-y^2/2 + x^2/m = 1);Expression(H) = (x^2/4 + y^2/m^2 = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1100,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1100.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;H: Circle;Expression(H) = (-4*x + x^2 + y^2 = 0);O:Origin;Vertex(G)=O;Focus(G)=Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 1101,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1101.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (1, 3);PointOnCurve(G, OneOf(Asymptote(C)))",
+      "coords": {
+        "G": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1102,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1102.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(F,H);Intersection(H,G) = {B, A};Focus(G)=F;Abs(LineSegmentOf(A,F))=2*Abs(LineSegmentOf(B,F));2*Abs(LineSegmentOf(B,F))=6",
+      "coords": {}
+    },
+    {
+      "index": 1103,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1103.png",
+      "answer": "x+2*y-8=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(P) = (4, 2);MidPoint(H)=P;IsChordOf(H,G)",
+      "coords": {
+        "P": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1104,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1104.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/9 + x^2/a = 1);Inclination(OneOf(Asymptote(G))) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1105,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1105.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (1, sqrt(3));PointOnCurve(P, Asymptote(C));RightFocus(C) = F;AngleOf(F, P, O) = ApplyUnit(90, degree)",
+      "coords": {
+        "P": [
+          1.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 1106,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1106.png",
+      "answer": "[-5,5]",
+      "fact_expr": "P: Point;x1: Number;y1: Number;Coordinate(P) = (x1, y1);C: Curve;Expression(C) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 1107,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1107.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Point;x0: Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (x0, 2);x0 > p/2;PointOnCurve(H, G);Distance(H, Focus(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 1108,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1109,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1110,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6495774984359741,
+        "b": 1.117531657218933,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 9.364227298647165e-05,
+        "converged": true,
+        "iterations": 59
+      },
+      "output_path": "results/train/hyperbola/problem_1110.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Coordinate(F1) = (-2, 0);Coordinate(F2) = (2, 0);LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);Min(DotProduct(VectorOf(P, F1), VectorOf(P, F2))) = -2",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1111,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1111.png",
+      "answer": "x + 2*y - 3 = 0",
+      "fact_expr": "G: LineSegment;H: Curve;Expression(H) = (x^2 + 2*y^2 = 4);Coordinate(MidPoint(G)) = (1, 1);IsChordOf(G, H)",
+      "coords": {}
+    },
+    {
+      "index": 1112,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1112.png",
+      "answer": "3*x+4*y-5=0",
+      "fact_expr": "l: Line;G: Hyperbola;B: Point;A: Point;P: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(P) = (3, -1);PointOnCurve(P, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          3.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1113,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1113.png",
+      "answer": "[\\pi/6, 5\\pi/6]",
+      "fact_expr": "O: Origin;theta: Number;H: Line;PointOnCurve(O, H);Inclination(H) = theta;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Intersection(H, G) = {A, B};F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, A, F2) = pi/2;e: Number;Eccentricity(G) = e;In(e, [sqrt(2)/2, sqrt(6)/3])",
+      "coords": {}
+    },
+    {
+      "index": 1114,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1114.png",
+      "answer": "-2",
+      "fact_expr": "G: Hyperbola;P: Point;A1: Point;F2: Point;Expression(G) = (x^2 - y^2/3 = 1);LeftVertex(G)=A1;RightFocus(G)=F2;PointOnCurve(P,RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 1115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1115.png",
+      "answer": "sqrt(15)/8",
+      "fact_expr": "P: Point;C1: Curve;Expression(C1) = (y^2 = 16*x);PointOnCurve(P, C1);Q: Point;C2: Curve;Expression(C2) = (y^2 + (x - 4)^2 = 9);PointOnCurve(Q, C2);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1116,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1116.png",
+      "answer": "28",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 16*x);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1117,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1118,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1119,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1119.png",
+      "answer": "8",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 6*x);Focus(C) = F;PointOnCurve(F, l);Slope(l) = sqrt(3);Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A,B),C)",
+      "coords": {}
+    },
+    {
+      "index": 1120,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1120.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1121,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1121.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "C: Parabola;M: Point;Expression(C) = (y = x^2/8);PointOnCurve(M, C);Distance(M, Focus(C)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1122,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.581065485469099,
+        "b": 1.581065485469099,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6812139285133018e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_1122.png",
+      "answer": "x^2/2 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;F1: Point;Coordinate(F1) = (-sqrt(5), 0);F2: Point;Coordinate(F2) = (sqrt(5), 0);Focus(C) = {F1, F2};PointOnCurve(F2, G);G: Line;Intersection(G, RightPart(C)) = {A, B};A: Point;B: Point;VectorOf(A, F2) = 3*VectorOf(F2, B);3*Abs(LineSegmentOf(A, B)) = 4*Abs(LineSegmentOf(B, F1))",
+      "coords": {
+        "F1": [
+          -2.23606797749979,
+          0.0
+        ],
+        "F2": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1123,
+      "success": false,
+      "error": "\n= 1 $ $ (a > b > 0) $, the coordinates of its right focus are $ (c, 0)\n    ^\nParseException: Expected end of text, found '$'  (at char 4), (line:1, col:5)"
+    },
+    {
+      "index": 1124,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3228756555322954,
+        "b": 2.2912878474779204,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1124.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/16 + y^2/9 = 1);Eccentricity(G) = 2;Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1125,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1127,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1127.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), xAxis);Cos(AngleOf(P, F2, F1)) = 12/13",
+      "coords": {}
+    },
+    {
+      "index": 1128,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1128.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;p: Number;m:Number;H: Circle;I: Point;P: Point;Q: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y^2 + (x - 3)^2 = 1);Coordinate(I) = (5, m);PointOnCurve(I,G);Focus(G)=F;Distance(I,F)=6;PointOnCurve(P,G);PointOnCurve(Q,H)",
+      "coords": {}
+    },
+    {
+      "index": 1129,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1129.png",
+      "answer": "[sqrt(5)/5, sqrt(3)/3]",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;c:Number;e: Number;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) =F1;RightFocus(E)=F2;PointOnCurve(P,E);Range(Max(DotProduct(VectorOf(P,F1),VectorOf(P,F2))))=[2*c^2,4*c^2];c=sqrt(a^2-b^2);Eccentricity(E) = e",
+      "coords": {}
+    },
+    {
+      "index": 1130,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1131,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1131.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "M: Point;F: Point;G: Parabola;N: Point;l: Line;Expression(G) = (y = x^2/2);Focus(G) = F;Directrix(G) = l;PointOnCurve(M, l);Intersection(LineSegmentOf(M, F), G) = N;Abs(LineSegmentOf(M, N)) = sqrt(2)*Abs(LineSegmentOf(N, F))",
+      "coords": {}
+    },
+    {
+      "index": 1132,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1132.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;e: Number;Eccentricity(G) = e;e = 1/2;A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);Negation(P=A);Negation(P=B);alpha: Number;beta: Number;Inclination(LineOf(P, A)) = alpha;Inclination(LineOf(P, B)) = beta",
+      "coords": {}
+    },
+    {
+      "index": 1133,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1133.png",
+      "answer": "(2/3, -1/3)",
+      "fact_expr": "H: Line;Expression(H) = (y = x - 1);G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1134,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1134.png",
+      "answer": "-2",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;O: Origin;A: Point;B: Point;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (x + 2*y + 3 = 0);Intersection(G, H) = {A, B};MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {}
+    },
+    {
+      "index": 1135,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1135.png",
+      "answer": "6/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/6 - y^2/3 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};M: Point;PointOnCurve(M, G) = True;IsPerpendicular(LineSegmentOf(M, F1), xAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 1136,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1136.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;G: Circle;Vertex(C) = Center(G);Intersection(C, G) = {A, B};A: Point;B: Point;Intersection(G, Directrix(C)) = {D, E};D: Point;E: Point;Abs(LineSegmentOf(A, B)) = 4*sqrt(2);Abs(LineSegmentOf(D, E)) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1137,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1137.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;F1:Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(A,G);IsPerpendicular(LineSegmentOf(A,F2),xAxis);Radius(InscribedCircle(TriangleOf(A,F1,F2)))=(sqrt(3)-1)*a",
+      "coords": {}
+    },
+    {
+      "index": 1138,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1138.png",
+      "answer": "25",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);F1:Point;F2:Point;Focus(G)={F1,F2};Distance(P, F1)*Distance(P,F2) = m;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 1139,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1139.png",
+      "answer": "x^2/2 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=sqrt(2);Expression(OneOf(Asymptote(G))) = (y = x)",
+      "coords": {}
+    },
+    {
+      "index": 1140,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.8176298651812968,
+        "b": 2.452642014841466,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4992967561765154e-06,
+        "converged": true,
+        "iterations": 283
+      },
+      "output_path": "results/train/hyperbola/problem_1140.png",
+      "answer": "x^2 - y^2/9 = 1",
+      "fact_expr": "G: Hyperbola;Coordinate(OneOf(Focus(G))) = (sqrt(10), 0);Expression(Asymptote(G)) = (y = pm*3*x)",
+      "coords": {}
+    },
+    {
+      "index": 1141,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1141.png",
+      "answer": "-2",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1142,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1142.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 8*x);Coordinate(P) = (1/2, 2);PointOnCurve(P,G)",
+      "coords": {
+        "P": [
+          0.5,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1143,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1143.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-c, 0);c:Number;Coordinate(A) = (a, 0);Coordinate(B) = (0, b);LeftFocus(G)=F;RightVertex(G)=A;UpperVertex(G)=B;DotProduct(VectorOf(F, B), VectorOf(A, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1144,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1144.png",
+      "answer": "[sqrt(3)/3, sqrt(10)/5]",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;G: Hyperbola;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1);m: Number;n: Number;m>0;n>0;F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P;e1: Number;e2: Number;Eccentricity(H) = e1;Eccentricity(G) = e2;AngleOf(F1, P, F2) = pi/3;In(e2, [sqrt(2), sqrt(3)])",
+      "coords": {}
+    },
+    {
+      "index": 1145,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1145.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;O: Origin;Vertex(C) = O;PointOnCurve(Focus(C), xAxis);G: Line;Expression(G) = (y = x);A: Point;B: Point;Intersection(G, C) = {A, B};F: Point;Coordinate(F) = (2, 2);MidPoint(LineSegmentOf(A, B)) = F",
+      "coords": {
+        "F": [
+          2.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1146,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1146.png",
+      "answer": "sqrt(5)/6",
+      "fact_expr": "C: Parabola;l: Line;O: Origin;M: Point;N: Point;Expression(C) = (y^2 = 3*x);Expression(l) = (3*x - y - 1 = 0);Intersection(l, C) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 1147,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1147.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;N: Point;F: Point;Expression(G) = (x^2/9 + y^2/5 = 1);LeftFocus(G) = F;PointOnCurve(F, H);Negation(IsPerpendicular(xAxis, H));Intersection(H, G) = {A, B};Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = N",
+      "coords": {}
+    },
+    {
+      "index": 1148,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1148.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Area(TriangleOf(F1, P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1149,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.33732376966822,
+        "b": 1.7454107534785184,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.8920117601792354e-05,
+        "converged": true,
+        "iterations": 51
+      },
+      "output_path": "results/train/hyperbola/problem_1149.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;PointOnCurve(Focus(G), xAxis);Expression(Asymptote(G)) = (y = pm*(3/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1150,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1150.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;H: Line;B: Point;A: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = F2",
+      "coords": {}
+    },
+    {
+      "index": 1151,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1151.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;A: Point;P: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (3, 1);PointOnCurve(P, C);Focus(C) = F",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1152,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_1152.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*x*2*sqrt(6)/5);H: Point;Coordinate(H) = (5, 3*sqrt(2));PointOnCurve(H,G) = True",
+      "coords": {
+        "H": [
+          5.0,
+          4.242640687119286
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1153,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1153.png",
+      "answer": "(1, \\sqrt{2})",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 0);Distance(P, Asymptote(E))<sqrt(2)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1154,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1154.png",
+      "answer": "(1,2+sqrt(5))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;c: Number;HalfFocalLength(G) = c;-4*a*c + b^2 < 0",
+      "coords": {}
+    },
+    {
+      "index": 1155,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1155.png",
+      "answer": "8 - 4*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2/5 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1156,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1156.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2:Point;Expression(G) = (x^2/100 + y^2/36 = 1);PointOnCurve(P, G);OneOf(Focus(G)) =F1;OneOf(Focus(G)) = F2;Negation(F1= F2);Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1157,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1157.png",
+      "answer": "{(b^2/4+4)&(0,4],(2*b)&(b>4)}",
+      "fact_expr": "G: Curve;b: Number;H: Point;b>0;Expression(G) = (x^2/4 + y^2/b^2 = 1);Coordinate(H) = (x1, y1);x1:Number;y1:Number;PointOnCurve(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 1158,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1158.png",
+      "answer": "[a-sqrt(a^2-b^2),a+sqrt(a^2-b^2)]",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(P, G);F1: Point;OneOf(Focus(G)) = F1",
+      "coords": {}
+    },
+    {
+      "index": 1159,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1159.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;l1: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F1;RightDirectrix(G) = l1;f: LineSegment;PointOnCurve(F1, f);IsPerpendicular(f, xAxis);IsChordOf(f, G);Length(f) = Distance(F1, l1)",
+      "coords": {}
+    },
+    {
+      "index": 1160,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1161,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1161.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Tan(AngleOf(P,F1,F2))=sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 1162,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1162.png",
+      "answer": "32",
+      "fact_expr": "C:Parabola;Expression(C)=(y^2=4*x);P:Point;Coordinate(P)=(4,0);L:Line;PointOnCurve(P,L);A:Point;B:Point;x1:Number;x2:Number;y1:Number;y2:Number;Coordinate(A)=(x1,y1);Coordinate(B)=(x2,y2);Intersection(L,C)={A,B}",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1163,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1163.png",
+      "answer": "[-1,1]",
+      "fact_expr": "l: Line;G: Parabola;Q: Point;Expression(G) = (y^2 = 8*x);Intersection(Directrix(G), xAxis) = Q;PointOnCurve(Q, l);IsIntersect(l,G)",
+      "coords": {}
+    },
+    {
+      "index": 1164,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1164.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, C);OneOf(Focus(C))=F;Max(Abs(LineSegmentOf(P, F))) = 5;Min(Abs(LineSegmentOf(P,F)))=1",
+      "coords": {}
+    },
+    {
+      "index": 1165,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1165.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;H: Point;Expression(G) = (x^2 - y^2/3 = 1);Coordinate(H) = (0, 1)",
+      "coords": {
+        "H": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1166,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1167,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1167.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "A: Point;Coordinate(A) = (0, -4);B: Point;Coordinate(B) = (3, 2);G: Parabola;Expression(G) = (y^2 = x);D: Point;PointOnCurve(D, G) = True",
+      "coords": {
+        "A": [
+          0.0,
+          -4.0
+        ],
+        "B": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1168,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1168.png",
+      "answer": "-2/3",
+      "fact_expr": "l: Line;C: Ellipse;D: Point;A: Point;B: Point;k1: Number;k2: Number;Expression(C) = (x^2/3 + y^2/2 = 1);O: Origin;PointOnCurve(O, l);Intersection(l, C) = {A, B};UpperVertex(C) = D;Slope(LineOf(A, D)) = k1;Slope(LineOf(B, D)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 1169,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1169.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;A: Point;B: Point;O: Origin;Expression(G) = (y^2 = 8*x);PointOnCurve(A,G);PointOnCurve(B,G);IsPerpendicular(LineOf(A,B),xAxis);Area(TriangleOf(O, A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1170,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1171,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1172,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1172.png",
+      "answer": "4*x + 9*y = 13",
+      "fact_expr": "l: Line;G: Ellipse;P: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(P) = (1, 1);PointOnCurve(P, l) ;MidPoint(InterceptChord(l, G)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1173,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_1173.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C) = 1/2;L: Line;PointOnCurve(F2,L) = True;Intersection(L,C) = {A,B};A: Point;B: Point;Perimeter(TriangleOf(F1,A,B)) = 8",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 1174,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 1175,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1175.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*y);P: Point;Q: Point;PointOnCurve(P, C);PointOnCurve(Q, C);Abs(LineSegmentOf(P, Q)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1176,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1176.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(G) = F1;RightFocus(G) = F2;F1: Point;F2: Point;H: Line;PointOnCurve(F2, H) = True;Intersection(H, RightPart(G)) = {A, B};B: Point;A: Point;DotProduct(VectorOf(B, F1), VectorOf(B, F2)) = 0;Sin(AngleOf(F1, A, F2)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 1177,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1177.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1178,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1178.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;F: Point;M: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(P,G);PointOnCurve(Q,G);Negation(P=Q);lambda:Number;lambda>1;VectorOf(P, F) = lambda*VectorOf(F, Q);MidPoint(LineSegmentOf(P,Q))=M;Distance(M, Directrix(G)) = 8/3",
+      "coords": {}
+    },
+    {
+      "index": 1179,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1180,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1180.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "l1: Line;l2:Line;l:Line;G: Hyperbola;b: Number;a: Number;F: Point;B: Point;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Asymptote(G)={l1,l2};RightFocus(G)=F;PointOnCurve(F,l);IsPerpendicular(l,l1);Intersection(l1,l)=A;Intersection(l2,l)=B;VectorOf(F, B) = 2*VectorOf(A, F)",
+      "coords": {}
+    },
+    {
+      "index": 1181,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1182,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1182.png",
+      "answer": "(3/2, 2*sqrt(3))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (2, 2*sqrt(3));P: Point;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          2.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 1183,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1184,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          5.0,
+          -0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1184.png",
+      "answer": "{(y^2 = 20*x)&(x > 0), (y = 0)&(x < 0)}",
+      "fact_expr": "C: Circle;Expression(C) = (-10*x + x^2 + y^2 = 0);H: Circle;P: Point;IsTangent(H, yAxis);IsOutTangent(C, H);Center(H) = P",
+      "coords": {}
+    },
+    {
+      "index": 1185,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1186,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1186.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-x^2/b^2 + y^2/a^2 = 1);a: Number;b: Number;a>0;b>0;C: Circle;Expression(C) = (y^2 + (x - 2)^2 = 1);IsTangent(Asymptote(E),C) = True",
+      "coords": {}
+    },
+    {
+      "index": 1187,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1187.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;M: Point;Intersection(Directrix(C), yAxis) = M;A: Point;B: Point;l: Line;PointOnCurve(F, l);Intersection(l, C) = {A, B};AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1188.png",
+      "answer": "(x-2)^2+y^2=16",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;H: Circle;Center(H) = F;IsTangent(l, H)",
+      "coords": {}
+    },
+    {
+      "index": 1189,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1189.png",
+      "answer": "25",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/9 + y^2/25 = 1);PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};m: Number;Distance(P, F1)*Distance(P, F2) = m",
+      "coords": {}
+    },
+    {
+      "index": 1190,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1190.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (x^2 = 8*y);PointOnCurve(F, H);Focus(G) = F;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1191,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1192,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1192.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (x^2/9 - y^2/m = 1);FocalLength(G) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1193,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1193.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Number;F1: Point;A: Point;l:Line;Expression(G) = (-y^2/16 + x^2/m = 1);Coordinate(F1) = (5, 0);OneOf(Focus(G)) = F1;OneOf(Asymptote(G))=l;PointOnCurve(F1, LineSegmentOf(F1, A));IsPerpendicular(LineSegmentOf(F1, A),l);Intersection(LineSegmentOf(F1, A), l) = A;O:Origin",
+      "coords": {
+        "F1": [
+          5.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1194,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1194.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;Expression(G) = (-y^2/2 + x^2/a^2 = 1);Expression(H) = (x^2/4 + y^2/a^2 = 1);Focus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1195,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1195.png",
+      "answer": "(-1/4,1)",
+      "fact_expr": "C: Curve;Expression(C) = (y^2 = -4*x);P: Point;PointOnCurve(P, C);F: Point;Focus(C) = F;A: Point;Coordinate(A) = (-2, 1);WhenMin(Distance(P, F) + Distance(P, A))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1196,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1196.png",
+      "answer": "3*sqrt(15)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1197,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1197.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;C1: Circle;C2: Circle;P: Point;M: Point;N: Point;l1:Line;l2:Line;Expression(G) = (x^2 - y^2/15 = 1);Expression(C1) = ((x + 4)^2 + y^2 = 4);Expression(C2) = ((x - 4)^2 + y^2 = 1);PointOnCurve(P, RightPart(G));TangentOfPoint(P,C1)=l1;TangentOfPoint(P,C2)=l2;TangentPoint(l1,C1)=M;TangentPoint(l2,C2)=N;PointOnCurve(P,l1);PointOnCurve(P,l2)",
+      "coords": {}
+    },
+    {
+      "index": 1198,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1199,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_1199.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;F1: Point;F2: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (sqrt(15)/2, 1/2);PointOnCurve(A, C);LeftFocus(C) = F1;RightFocus(C) = F2;DotProduct(VectorOf(A, F1), VectorOf(A, F2)) = 0",
+      "coords": {
+        "A": [
+          1.9364916731037085,
+          0.5
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1200,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1201,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1202,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1203.png",
+      "answer": "1/4",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;A: Point;B: Point;l:Line;Expression(G) = (x^2/4 - y^2 = 1);a>0;Expression(H) = (y = a*x^2);Directrix(H)=l;L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(l,L1)=A;Intersection(l,L2)=B;Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1204,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1204.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b = sqrt(3)*a",
+      "coords": {}
+    },
+    {
+      "index": 1205,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1205.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;P: Point;F2: Point;Q: Point;F1: Point;O:Origin;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(O,G);Intersection(G, E) = {P, Q};IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F2, Q));Area(TriangleOf(P,F,Q2))=a^2/2;Abs(LineSegmentOf(F2, Q)) + Abs(LineSegmentOf(P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1206,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1206.png",
+      "answer": "3",
+      "fact_expr": "E: Parabola;A: Point;F: Point;m: Number;Expression(E) = (y^2 = 4*x);Coordinate(A) = (2, m);Focus(E) = F;PointOnCurve(A, E)",
+      "coords": {}
+    },
+    {
+      "index": 1207,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1208,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1208.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F2: Point;M: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;UpperVertex(G) = A;MidPoint(LineSegmentOf(A, F2)) = M;IsPerpendicular(LineSegmentOf(M, F1), LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1209,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1209.png",
+      "answer": "16/3",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 4*x);F: Point;Focus(E) = F;l: Line;Directrix(E) = l;m: Line;PointOnCurve(F, m);A: Point;B: Point;Intersection(m, E) = {A, B};P: Point;Q: Point;Intersection(PerpendicularBisector(LineSegmentOf(A, F)), l) = P;Intersection(PerpendicularBisector(LineSegmentOf(A, F)), xAxis) = Q;AngleOf(A, F, P) = AngleOf(A, F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 1210,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1211,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1211.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "F1: Point;F2: Point;Focus(C) = {F1, F2};FocalLength(C) = 2;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;P: Point;PointOnCurve(P, C);l: Line;TangentOnPoint(P, C) = l;Distance(F1, l) * Distance(F2, l) = 4;PointOnCurve(P, l)",
+      "coords": {}
+    },
+    {
+      "index": 1212,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1213,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1213.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;M: Point;A: Point;B: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (1, 0);Directrix(C) = l;PointOnCurve(M, G);Slope(G)=sqrt(3);Intersection(l, G) = A;OneOf(Intersection(G,C))=B;VectorOf(A, M) = VectorOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1214,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_1214.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (sqrt(2), sqrt(3));PointOnCurve(G, C);Eccentricity(C) = 2",
+      "coords": {
+        "G": [
+          1.4142135623730951,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1215,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1215.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Inclination(H) = ApplyUnit(45, degree);A: Point;B: Point;Intersection(H, G) = {A, B};Length(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1216,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1217,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1217.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "M: Hyperbola;Expression(M) = (x^2/3 - y^2 = 1);F: Point;RightFocus(M) = F;C: Circle;Expression(C) = (x^2 + (y + 1)^2 = 1/2);A: Point;B: Point;L:Line;TangentOfPoint(F,C)=L;Intersection(L,RightPart(M))={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 1218,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1218.png",
+      "answer": "(3, 0), (-3, 0)",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/9 + y^2/25 = 1);PointOnCurve(P, G);F1:Point;F2:Point;Focus(G)={F1,F2};m:Number;Distance(P, F1)*Distance(P,F2) = m;WhenMax(m)",
+      "coords": {}
+    },
+    {
+      "index": 1219,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1219.png",
+      "answer": "-2",
+      "fact_expr": "l: Line;C: Parabola;G: Circle;A: Point;B: Point;M: Point;k: Number;p:Number;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = ((-1)*2, (-1)*2);Slope(l) = k;PointOnCurve(Focus(C),l);Intersection(l,C)={A,B};IsDiameter(LineSegmentOf(A,B),G);Intersection(Directrix(C),G)=M",
+      "coords": {
+        "M": [
+          -2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 1220,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1220.png",
+      "answer": "{(6,6*sqrt(2)),(6,-6*sqrt(2))}",
+      "fact_expr": "C:Parabola;P:Point;Expression(C) = (y^2 = 12*x);PointOnCurve(P,C);Distance(P,Focus(C))=9",
+      "coords": {}
+    },
+    {
+      "index": 1221,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1222,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1223,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1223.png",
+      "answer": "2/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/a^2+y^2/b^2 = 1);a: Number;b: Number;a>b;b>0;F: Point;LeftFocus(C) = F;H: Line;PointOnCurve(F, H);Intersection(H, C) = {A, B};l: Line;Inclination(l) = ApplyUnit(60, degree);LineSegmentOf(A, F) = 2*LineSegmentOf(F, B);A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1224,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1224.png",
+      "answer": "4*x+9*y-13=0",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;C: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(C) = (1, 1);IsChordOf(LineSegmentOf(A,B), G) = True;MidPoint(LineSegmentOf(A, B)) = C",
+      "coords": {
+        "C": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1225,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1225.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "C: Parabola;p: Number;Expression(C) = (y^2 = 2*p*x);p > 0;F: Point;Focus(C) = F;M: Point;x0: Number;x0 > p/2;Coordinate(M) = (x0, 2*sqrt(2));PointOnCurve(M, C);Z: Circle;Center(Z) = M;H: Line;Expression(H) = (x = p/2);E: Point;G: Point;Intersection(Z, H) = {E, G};Sin(AngleOf(M, F, G)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 1226,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1226.png",
+      "answer": "x^2/5 - y^2/20 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;Coordinate(Intersection(OneOf(Asymptote(G)), Directrix(H))) = (-4/3, 8/3);M: Point;x0: Number;Coordinate(M) = (x0, 4);OneOf(Intersection(G, H)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1227,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 6.928203230275509,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1227.png",
+      "answer": "25",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/48 = 1);P: Point;PointOnCurve(P, RightPart(G));C1:Circle;Expression(C1) = ((x + 7)^2 + y^2 = 4);C2:Circle;Expression(C2) = ((x - 7)^2 + y^2 = 1);M: Point;N: Point;l1:Line;l2:Line;TangentPoint(l1,C1)=M;TangentPoint(l2,C2)=N;TangentOfPoint(P,C1)=l1;TangentOfPoint(P,C2)=l2",
+      "coords": {}
+    },
+    {
+      "index": 1228,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1228.png",
+      "answer": "4*sqrt(2)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);l: Line;Expression(l) = (x - y + 1 = 0);A: Point;B: Point;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1229,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1229.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Curve;Expression(H) = (y = ln(x) + 1);IsTangent(OneOf(Asymptote(C)),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 1230,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1230.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 1231,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1231.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, LeftPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Cos(AngleOf(P,F1,F2))=Sin(AngleOf(P,F2,F1));Sin(AngleOf(P,F2,F1))=sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 1232,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1232.png",
+      "answer": "1/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;O: Origin;P: Point;F1: Point;F2: Point;G: Point;I: Point;a > b;b > 0;lambda:Number;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);PointOnCurve(G, LineSegmentOf(O, P));Abs(LineSegmentOf(O, P)) = 4*Abs(LineSegmentOf(O, G));Incenter(TriangleOf(P,F1,F2))=I;VectorOf(I, G) = lambda*VectorOf(F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1233,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1233.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1234,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1235,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1235.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 2)",
+      "coords": {}
+    },
+    {
+      "index": 1236,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.937253933193772,
+        "b": 6.164414002968976,
+        "major_axis": "x",
+        "x_coef": 63.0,
+        "y_coef": 38.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1236.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G)=(x^2/63+y^2/38=1);H: Circle;Expression(H)=(x^2+y^2-6*x-8*y=0);C:Ellipse;FocalLength(G) = FocalLength(C);PointOnCurve(Center(H),C)",
+      "coords": {}
+    },
+    {
+      "index": 1237,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1238,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1238.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;F: Point;Expression(C) = (x^2/9 - y^2/16 = 1);RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 1239,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1239.png",
+      "answer": "(x^2/4 + 5*y^2/4 = 1) & Negation(y=0)",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/9 + y^2/5 = 1);M: Point;PointOnCurve(M, E);F1: Point;F2: Point;Focus(E) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 1240,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1241,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1241.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, l);Intersection(l, G) = {A, B};l1:Line;l2:Line;TangentOnPoint(A,G)=l1;TangentOnPoint(B,G)=l2;Intersection(l1,l2)=P",
+      "coords": {}
+    },
+    {
+      "index": 1242,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_1242.png",
+      "answer": "(-2, 0)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Length(RealAxis(C)) = 2;Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1243,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1244,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1244.png",
+      "answer": "(1/8, pm*(sqrt(2)/4))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);P:Point;Distance(P,Directrix(G))=Distance(P,Vertex(G));PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 1245,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1245.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G),l);Intersection(l,G) = {A,B};MidPoint(LineSegmentOf(A, B)) = M;Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1246,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1246.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;C: Circle;M: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Expression(C) = ((x - 4)^2 + (y - 1)^2 = 1);PointOnCurve(M, G);Focus(G) = F;PointOnCurve(A, C)",
+      "coords": {}
+    },
+    {
+      "index": 1247,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1247.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Curve;P: Point;Q: Point;Expression(C) = (y^2 = 2*x);Coordinate(P) = (2, 0);PointOnCurve(Q, C)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1248,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1248.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - y^2/4 = 1);Expression(H) = (y = x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 1249,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1249.png",
+      "answer": "1/2*sqrt(a^2-1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Number;a>1;F: Point;OneOf(Focus(G)) = F;P: Point;PointOnCurve(P, G);O: Origin;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F));S: Number;Area((TriangleOf(O, P, F))) = S",
+      "coords": {}
+    },
+    {
+      "index": 1250,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1251,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1251.png",
+      "answer": "8/3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;P: Point;PointOnCurve(P, G);A: Point;IsPerpendicular(LineSegmentOf(P, A), l);FootPoint(LineSegmentOf(P, A), l) = A;Inclination(LineOf(A, F)) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1252,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1253,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1253.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;P: Point;k: Number;k>0;Expression(G) = (y^2 = 4*x);Intersection(Directrix(G), xAxis) = P;Slope(LineOf(A,B)) = k;Intersection(H,G)={A,B};Focus(G) = F;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B));H:Line;PointOnCurve(P,H);Slope(H)=k",
+      "coords": {}
+    },
+    {
+      "index": 1254,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1254.png",
+      "answer": "3/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);L: Line;PointOnCurve(P, L);IsPerpendicular(L, Directrix(G));M: Point;FootPoint(L, Directrix(G)) = M;Abs(LineSegmentOf(P, M)) = 5;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1255,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1255.png",
+      "answer": "x^2/3 - y^2/9 = 1",
+      "fact_expr": "C: Hyperbola;H:Hyperbola;G: Point;Expression(C) = (x^2/4 - y^2/12 = 1);Coordinate(G) = (3, 3*sqrt(2));Asymptote(C)=Asymptote(H);PointOnCurve(G, H)",
+      "coords": {
+        "G": [
+          3.0,
+          4.242640687119286
+        ]
+      }
+    },
+    {
+      "index": 1256,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1256.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Number;a>0;Expression(OneOf(Asymptote(G))) = (3*x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1257,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1257.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Inclination(OneOf(Asymptote(C))) = ApplyUnit(60, degree);G: Ellipse;Expression(G) = (x^2/5 + y^2 = 1);FocalLength(C) = FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 1258,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1258.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 2*y^2 = 2);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1259,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1259.png",
+      "answer": "(\\sqrt{3} + \\sqrt{7})/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;O1: Circle;P: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Center(O1) = O;Radius(O1) = FocalLength(C);Intersection(O1, xAxis) = {A, B};OneOf(Intersection(O1, C)) = P;Abs(LineSegmentOf(P, A)) = sqrt(3)*Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 1260,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_1260.png",
+      "answer": "16",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;M: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C)=sqrt(5)/2;LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(M,OneOf(Asymptote(C)));IsPerpendicular(LineSegmentOf(O,M),LineSegmentOf(M,F2));Area(TriangleOf(O,M,F2))=16;F1:Point",
+      "coords": {}
+    },
+    {
+      "index": 1261,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1262,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1263,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1263.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;m: Number;m>0;Expression(G) = (y^2 + x^2/m = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1264,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1265,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1265.png",
+      "answer": "-4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F:Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1,y1);Coordinate(B) = (x2,y2);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};x1:Number;x2:Number;y1:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 1266,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1266.png",
+      "answer": "3+2*sqrt(2)",
+      "fact_expr": "P: Point;Coordinate(P) = (-1, 2);G: Parabola;Expression(G) = (y^2 = 4*x);TangentPoint(LineSegmentOf(P, A), G) = A;TangentPoint(LineSegmentOf(P, B), G) = B;A: Point;B: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;Coordinate(B) = (x2, y2);x2: Number;y2: Number;y1 >y2;Intersection(LineOf(A,B), xAxis) = C;C: Point;TangentOfPoint(P,G)={LineSegmentOf(P,A),LineSegmentOf(P,B)}",
+      "coords": {
+        "P": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1267,
+      "success": false,
+      "error": "could not convert string to float: 'a'"
+    },
+    {
+      "index": 1268,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1268.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (2*x^2 + y^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 1269,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1270,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1270.png",
+      "answer": "-4/9",
+      "fact_expr": "O: Origin;A: Point;M: Point;N: Point;l: Line;C: Ellipse;k: Number;k1:Number;Expression(C) = (x^2/9 + y^2/4 = 1);Slope(l)=k;Intersection(l, C) = {M, N};MidPoint(LineSegmentOf(M, N)) = A;Slope(LineOf(O,A))=k1",
+      "coords": {}
+    },
+    {
+      "index": 1271,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1271.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;O: Origin;PointOnCurve(O, G);G: Line;Intersection(G, E) = {P, Q};P: Point;Q: Point;IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F2, Q));Area(TriangleOf(P, F2, Q)) = a^2/2;Abs(LineSegmentOf(F2, Q)) + Abs(LineSegmentOf(P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1272,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1272.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;A: Point;B: Point;F1: Point;F2: Point;l:Line;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);LowerFocus(G) = F1;PointOnCurve(F1,l);IsPerpendicular(l,yAxis);Intersection(l,G)={A,B};IsDiameter(LineSegmentOf(A,B),H);PointOnCurve(F2,H);UpperFocus(G)=F2",
+      "coords": {}
+    },
+    {
+      "index": 1273,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1274,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1274.png",
+      "answer": "[-3/4,-3/8]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A1: Point;A2: Point;Endpoint(MajorAxis(C)) = {A1, A2};P: Point;PointOnCurve(P, C) = True;Range(Slope(LineOf(P, A1))) = [1, 2]",
+      "coords": {}
+    },
+    {
+      "index": 1275,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1275.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;F: Point;D: Point;d: Number;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(A, C);PointOnCurve(B, C);Focus(C) = F;AngleOf(A, F, B) = ApplyUnit(60, degree);MidPoint(LineSegmentOf(A, B)) = D;Distance(D, Directrix(C)) = d",
+      "coords": {}
+    },
+    {
+      "index": 1276,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1276.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;Expression(G) = (y^2 = 2*(p*x));P: Point;XCoordinate(P) = 4;PointOnCurve(P, G);Distance(P, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1277,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1277.png",
+      "answer": "sqrt(25)-2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);P: Point;PointOnCurve(P, RightPart(G));F: Point;RightFocus(G) = F;A: Point;Coordinate(A) = (3, 1)",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1278,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1278.png",
+      "answer": "[1/3,1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);PointOnCurve(F2, PerpendicularBisector(LineSegmentOf(P, F1))) = True",
+      "coords": {}
+    },
+    {
+      "index": 1279,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1279.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2/4 - y^2/5 = 1);Expression(H) = (sqrt(5)*x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1280,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1280.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;PointOnCurve(M,Asymptote(C)) ;O: Origin;Abs(LineSegmentOf(O, F2)) = Abs(LineSegmentOf(O, M));Abs(LineSegmentOf(M, F1)) - Abs(LineSegmentOf(M, F2)) = 2*sqrt(2)*a",
+      "coords": {}
+    },
+    {
+      "index": 1281,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1281.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;P: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);OneOf(Focus(G))=F;Focus(H)=F;OneOf(Intersection(G,H))=P;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1282,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1282.png",
+      "answer": "10",
+      "fact_expr": "E: Hyperbola;P: Point;F1: Point;F2: Point;Expression(E) = (x^2/9 - y^2/16 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, E);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1283,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1284,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1285,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1286,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1286.png",
+      "answer": "4\n-16",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);l: Line;A: Point;B: Point;F: Point;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};x1: Number;x2: Number;y1: Number;y2: Number",
+      "coords": {}
+    },
+    {
+      "index": 1287,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1287.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "l: Line;G: Parabola;H: Circle;m:Real;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = ((x - 1)^2 + (y - 1)^2 = 6);Expression(l) = (-m + m*x - y + 1 = 0);PointOnCurve(Focus(G),l);Length(InterceptChord(l,H))=LineSegmentOf(A,B)",
+      "coords": {}
+    },
+    {
+      "index": 1288,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1288.png",
+      "answer": "2*a",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>b;b>0;M: Point;PointOnCurve(M, G);Negation(M=Endpoint(MinorAxis(G)));B1: Point;B2: Point;Endpoint(MinorAxis(G)) = {B1, B2};N: Point;K: Point;Intersection(LineOf(M, B1), xAxis) = N;Intersection(LineOf(M, B2), xAxis) = K;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1289,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1289.png",
+      "answer": "ApplyUnit(30,degree)",
+      "fact_expr": "G: Parabola;N: Point;F: Point;M: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;Intersection(Directrix(G), yAxis) = M;PointOnCurve(N, G);Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 1290,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1291,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1291.png",
+      "answer": "0",
+      "fact_expr": "P: Point;PointOnCurve(P,C1) = True;C1: Ellipse;Expression(C1) = (x^2/4 + y^2/3 = 1);F: Point;LeftFocus(C1) = F;C2: Circle;Expression(C2) = ((x + 2)^2 + (y - 4)^2 = 1);Q: Point;PointOnCurve(Q,C2) = True",
+      "coords": {}
+    },
+    {
+      "index": 1292,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 2.309742261840055,
+        "b": 1.632524068785969,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.273270740250148e-06,
+        "converged": true,
+        "iterations": 84
+      },
+      "output_path": "results/train/hyperbola/problem_1292.png",
+      "answer": "x^2/2-y^2=1",
+      "fact_expr": "G: Hyperbola;O: Origin;P: Point;SymmetryAxis(G)=axis;Expression(Asymptote(G)) = (y =pm*(sqrt(2)/2)*x);PointOnCurve(P, G);Coordinate(P)=(2,1);Center(G)=O",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1293,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1294,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1294.png",
+      "answer": "-3/4",
+      "fact_expr": "C: Parabola;p: Number;A: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (-2, 3);PointOnCurve(A, Directrix(C));Focus(C) = F",
+      "coords": {
+        "A": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1295,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1295.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;M: Point;PointOnCurve(M, l);Q: Point;OneOf(Intersection(LineOf(M, F), C)) = Q;VectorOf(F, M) = 3*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 1296,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1296.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;P: Point;M: Point;N: Point;k:Number;k>0;Expression(C) = (y^2 = 4*x);Coordinate(P) = (-1, 0);Focus(C) = F;PointOnCurve(P, l);Slope(l) = k;Intersection(l, C) = {A, B};Intersection(LineOf(A,F), C) = M;Intersection(LineOf(B,F), C) = N;Abs(LineSegmentOf(A, F))/Abs(LineSegmentOf(F, M)) + Abs(LineSegmentOf(B, F))/Abs(LineSegmentOf(F, N)) = 18",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1297,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1298,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1299,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1300,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1300.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Length(LineSegmentOf(A,B)) = 5;PointOnCurve(Endpoint(LineSegmentOf(A, B)), G)",
+      "coords": {}
+    },
+    {
+      "index": 1301,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1301.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Ellipse;H: Line;m: Real;A: Point;B: Point;Expression(G) = (x^2 + 2*y^2 = 2);Expression(H) = (y = m + x);Intersection(G, H) = {A, B};Abs(LineSegmentOf(A, B)) = (4*sqrt(2))/3",
+      "coords": {}
+    },
+    {
+      "index": 1302,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1302.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "H: Circle;Expression(H) = (x^2 + (y - 6)^2 = 2);G: Ellipse;Expression(G) = (x^2/10 + y^2 = 1);P: Point;Q: Point;PointOnCurve(P, H);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 1303,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1303.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;c: Number;Coordinate(F) = (c, 0);Focus(G) = F;A: Point;RightVertex(G) = A;Distance(A,OneOf(Asymptote(G))) = c/2",
+      "coords": {}
+    },
+    {
+      "index": 1304,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1304.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, C);Quadrant(P) = 1;Z: Line;PointOnCurve(P, Z);IsPerpendicular(Z, l);Q: Point;FootPoint(Z, l) = Q;Perimeter(TriangleOf(P, F, Q)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1305,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1306,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1306.png",
+      "answer": "(1,\\sqrt{2})",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Parabola;e: Number;x0:Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 = x);XCoordinate(OneOf(Intersection(OneOf(Asymptote(C)),G)))=x0;Eccentricity(C) = e;x0>1",
+      "coords": {}
+    },
+    {
+      "index": 1307,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1307.png",
+      "answer": "3",
+      "fact_expr": "P: Point;m: Number;n: Number;Coordinate(P) = (m, n);PointOnCurve(P, G);G: Parabola;Expression(G) = (x^2 = -8*y)",
+      "coords": {}
+    },
+    {
+      "index": 1308,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1309,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1309.png",
+      "answer": "4",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 4*x);F: Point;Focus(E) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(l, E) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1310,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1311,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1311.png",
+      "answer": "2*sqrt(2-lambda)",
+      "fact_expr": "G: Hyperbola;Expression(Z) = (x^2/2 + y^2/lambda = 1);Z: Curve;Z = G;lambda: Number",
+      "coords": {}
+    },
+    {
+      "index": 1312,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1312.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);VectorOf(A, F1) = 2*VectorOf(F1, B);DotProduct(VectorOf(A, F2), VectorOf(A,F1)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1313,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1313.png",
+      "answer": "x^2/5 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;C: Circle;Expression(C) = (-6*x + x^2 + y^2 + 5 = 0);IsTangent(Asymptote(G),C) = True;Center(C) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1314,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1314.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/9 = 1);LeftFocus(G)=F1;PointOnCurve(M,G);MidPoint(LineSegmentOf(M, F1)) = N;Abs(LineSegmentOf(O, N)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1315,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1315.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/9 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1316.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1317,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1317.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Circle;Gamma:Ellipse;Expression(Gamma) = (x^2/a^2+y^2/b^2=1);Expression(C) = ((x - 1)^2 + (y - 1)^2 = 2);a:Number;b:Number;a>b;b>0;F:Point;B:Point;RightFocus(Gamma)=F;UpperVertex(Gamma)=B;PointOnCurve(F,C);PointOnCurve(B,C)",
+      "coords": {}
+    },
+    {
+      "index": 1318,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1319,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1320,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1320.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Circle;C:Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2 - y^2/15 = 1);Expression(H) = (y^2 + (x + 4)^2 = 9);Expression(C)=(y^2 + (x - 4)^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 1321,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1321.png",
+      "answer": "(pm*2,1)",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (x^2 = 4*y);PointOnCurve(P, G);Distance(P, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1322,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1322.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(C)=F;Coordinate(F)=(1,0);B: Point;UpperVertex(C)=B;Slope(LineOf(F,B)) = -sqrt(3)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1323,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1323.png",
+      "answer": "x^2/9+y^2/7=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, C) = {A, B};Perimeter(TriangleOf(A, B, F2)) = 12;Eccentricity(C) = sqrt(2)/3",
+      "coords": {}
+    },
+    {
+      "index": 1324,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9220545291900635,
+        "b": 2.765991687774658,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.6528161874448415e-06,
+        "converged": true,
+        "iterations": 186
+      },
+      "output_path": "results/train/hyperbola/problem_1324.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Expression(OneOf(Asymptote(G))) = (y = 3*x)",
+      "coords": {}
+    },
+    {
+      "index": 1325,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1326,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1326.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);Intersection(Directrix(C),xAxis)=M;A: Point;M: Point;B: Point;F:Point;Focus(C)=F;G:Line;Intersection(G, C) = {A, B};PointOnCurve(F, G);Slope(LineOf(M,A))=k1;Slope(LineOf(M,B))=k2;k1:Number;k2:Number",
+      "coords": {}
+    },
+    {
+      "index": 1327,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1328.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;A: Point;B: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;IsPerpendicular(LineSegmentOf(F, A), LineSegmentOf(F, B));L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(RightDirectrix(G),L1)=A;Intersection(RightDirectrix(G),L2)=B",
+      "coords": {}
+    },
+    {
+      "index": 1329,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1329.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;P: Point;K: Point;F: Point;l: Line;p>0;y0:Number;Expression(G) = (x^2 = 2*p*y);Coordinate(P) = (4,y0);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);Intersection(l,yAxis) = K;Abs(LineSegmentOf(P, K)) = sqrt(2)*Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 1330,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1330.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;F2: Point;B: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G,LeftPart(C))={A,B};Sin(AngleOf(A, B, F2)/2) = 1/4;Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1331,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1332,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1332.png",
+      "answer": "7/5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;P: Point;F2: Point;Q: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, LeftPart(C)) = {P, Q};Abs(LineSegmentOf(P, F2)) = 2*c;c:Number;c=sqrt(a^2+b^2);Area(TriangleOf(P,F1,F2))/Area(TriangleOf(Q,F1,F2)) = 2/3",
+      "coords": {}
+    },
+    {
+      "index": 1333,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1334,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1334.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/15 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1=F2);Distance(P, F1) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1335,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1335.png",
+      "answer": "1/4",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/8 + y^2/2 = 1);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1336,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1336.png",
+      "answer": "[1,+oo)&\\Negation(a=2)",
+      "fact_expr": "G: Ellipse;a: Number;H: Line;m: Number;Expression(G) = (y^2/2 + x^2/a = 1);Expression(H) = (x = m*y + 1);IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 1337,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1337.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);Abs(VectorOf(P, F1) + VectorOf(P, F2)) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1338,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1338.png",
+      "answer": "5/2",
+      "fact_expr": "C: Hyperbola;O: Origin;P: Point;F: Point;Expression(C) = (x^2/4 - y^2/5 = 1);OneOf(Focus(C)) = F;PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 1339,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1339.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/5 - y^2/4 = 1);F: Point;OneOf(Focus(C)) = F;P: Point;PointOnCurve(P, Asymptote(C));O: Origin;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 1340,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1341,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1341.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(B) = (-1, 0);Focus(G) = F;PointOnCurve(A, G);WhenMax(2*Abs(LineSegmentOf(A, B))/(2*Abs(LineSegmentOf(A, F)) + 1))",
+      "coords": {
+        "B": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1342,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_1342.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "C1: Hyperbola;H: Point;Expression(C1)=(-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (4, sqrt(3));Expression(Asymptote(C1)) = (y = pm*(x/2));PointOnCurve(H,C1);a: Number;b: Number;a>0;b>0",
+      "coords": {
+        "H": [
+          4.0,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1343,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1343.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A1: Point;A2: Point;LeftVertex(C) = A1;RightVertex(C) = A2;PointOnCurve(F, l) = True;L1: Line;L2: Line;OneOf(Asymptote(C)) = L1;OneOf(Asymptote(C)) = L2;Negation(L1 = L2);IsParallel(l, L1) = True;l: Line;Intersection(l, L2) = P;P: Point;G: Circle;PointOnCurve(P, G) = True;IsDiameter(LineSegmentOf(A1, A2), G) = True",
+      "coords": {}
+    },
+    {
+      "index": 1344,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1344.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Circle;A: Point;C: Point;B: Point;F: Point;l1: Line;l2: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = a^2);LeftFocus(G) = F;TangentOfPoint(F, O) = {l1, l2};TangentPoint(l1, O) = A;TangentPoint(l2, O) = B;LeftVertex(G) = C;AngleOf(A, C, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1345,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1345.png",
+      "answer": "9",
+      "fact_expr": "F1: Point;F2: Point;C: Ellipse;Expression(C) = (x^2/25 + y^2/9 = 1);Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1346,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1346.png",
+      "answer": "5 + sqrt(6)",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;Expression(G) = (x^2/6 - y^2/3 = 1);Expression(H) = (x^2/25 + y^2/16 = 1);Quadrant(P) = 1;Intersection(G, H) = P",
+      "coords": {}
+    },
+    {
+      "index": 1347,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1347.png",
+      "answer": "{2, 8}",
+      "fact_expr": "G: Ellipse;m: Number;e: Number;Expression(G) = (y^2/4 + x^2/m = 1);Eccentricity(G) = e ;e = sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 1348,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1348.png",
+      "answer": "x = pm*4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1349,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1349.png",
+      "answer": "pm*1/2",
+      "fact_expr": "E: Hyperbola;F: Line;k: Number;Expression(E) = (x^2 - 4*y^2 = 1);Expression(F) = (y = k*x);F = OneOf(Asymptote(E))",
+      "coords": {}
+    },
+    {
+      "index": 1350,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1350.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Length(ImageinaryAxis(G)) = 2*Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 1351,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1351.png",
+      "answer": "8/3",
+      "fact_expr": "G: Ellipse;a: Number;M: Point;A: Point;B: Point;N: Point;F1: Point;F2: Point;a>1;Expression(G) = (y^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;LeftVertex(G)=A;UpperVertex(G)=B;PointOnCurve(M, G);PointOnCurve(N, G);Max(Area(TriangleOf(M,A,B)))=2*(sqrt(2)+1)",
+      "coords": {}
+    },
+    {
+      "index": 1352,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1352.png",
+      "answer": "24",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (x^2 - y^2/24 = 1);P: Point;H: Ellipse;Expression(H) = (x^2/49 + y^2/24 = 1);OneOf(Intersection(G, H)) = P",
+      "coords": {}
+    },
+    {
+      "index": 1353,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1353.png",
+      "answer": "(0, -1/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -2*y)",
+      "coords": {}
+    },
+    {
+      "index": 1354,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1354.png",
+      "answer": "x^2/4 - y^2/5 = 1",
+      "fact_expr": "P: Point;F1: Point;G: Hyperbola;b: Number;a: Number;M: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (3/2, 0);PointOnCurve(P,G);Focus(G)={F1,F2};Distance(P,F1)=6;Distance(P,F2)=2;Distance(M,LineOf(P,F1))=Distance(M,LineOf(P,F2))",
+      "coords": {
+        "M": [
+          1.5,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1355,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1355.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;m: Real;H: Ellipse;Expression(G) = (y^2 = m*x);Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1356,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1356.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;O: Origin;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct((VectorOf(O,P)+VectorOf(O,F2)),VectorOf(P,F2))=0",
+      "coords": {}
+    },
+    {
+      "index": 1357,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1357.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, LeftPart(G));M: Point;MidPoint(LineSegmentOf(P, F1)) = M;O: Origin;IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(P, F1)) = True;2*Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1358,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1358.png",
+      "answer": "(1,2*sqrt(3)/3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 + (x - 2)^2 = 1);IsIntersect(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 1359,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1359.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1360,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1360.png",
+      "answer": "(2,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 1361,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1361.png",
+      "answer": "(3, 9)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);Expression(OneOf(TangentOnPoint(P, G))) = (6*x - y - 9 = 0);P: Point",
+      "coords": {}
+    },
+    {
+      "index": 1362,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1362.png",
+      "answer": "-2",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(A) = (1, 2);LeftFocus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1363,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1363.png",
+      "answer": "y^2/8 - x^2/2 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Expression(H) = (x^2 = 4*(sqrt(10)*y));Expression(OneOf(Asymptote(G))) = (y = -2*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1364,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1364.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1365,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1365.png",
+      "answer": "y^2 = -8*x",
+      "fact_expr": "l: Line;F: Circle;E: Circle;Expression(F) = (y^2 + (x + 2)^2 = 1);IsOutTangent(E,F);IsTangent(E, l);M: Point;Center(E) = M;Expression(l)=(x=1)",
+      "coords": {}
+    },
+    {
+      "index": 1366,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1366.png",
+      "answer": "y=-2*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);l: Line;A: Point;B: Point;Intersection(l, C) = {A, B};Coordinate(MidPoint(LineSegmentOf(A, B))) = (1/2, -1)",
+      "coords": {}
+    },
+    {
+      "index": 1367,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1367.png",
+      "answer": "2-sqrt(6)/2",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (x^2/2 + y^2 = 1);Expression(H) = (x + 4*y - 4 = 0);Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);PointOnCurve(P, G);PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 1368,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1369,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1369.png",
+      "answer": "8/5",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(P) = (2, 0)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1370,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1371,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1371.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1372,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1372.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, l);A: Point;B: Point;TangentOfPoint(P,C)={LineOf(P,A),LineOf(P,B)};TangentPoint(LineOf(P,A),C)=A;TangentPoint(LineOf(P,B),C)=B;Q: Point;IsChordOf(LineSegmentOf(A, B), C);MidPoint(LineSegmentOf(A, B)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 1373,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1374,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1374.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);M: Point;PointOnCurve(M, G);H: Circle;Expression(H) = (x^2 + y^2 = 2);L1: Line;L2: Line;TangentOfPoint(M, H) = {L1, L2};A: Point;B: Point;TangentPoint(L1, H) = A;TangentPoint(L2, H) = B;L: Line;PointOnCurve(A, L);PointOnCurve(B, L);P: Point;Q: Point;Intersection(L, xAxis) = P;Intersection(L, yAxis) = Q;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1375,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1375.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G:Circle;H: Line;P: Point;M: Point;Q: Point;N: Point;F: Point;Expression(C) = (y^2 = 4*x);Expression(G) = (-2*x + x^2 + y^2 = 0);Focus(C) = F;PointOnCurve(F, H);Intersection(H, C) = {P, Q};Quadrant(P)=1;Quadrant(M)=1;Intersection(H,G)={M,N}",
+      "coords": {}
+    },
+    {
+      "index": 1376,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1376.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;M: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(M,G);IsPerpendicular(LineSegmentOf(M,F1),xAxis);AngleOf(F1,M,F2)=ApplyUnit(45,degree)",
+      "coords": {}
+    },
+    {
+      "index": 1377,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1377.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F,l);IsPerpendicular(l,xAxis);B: Point;A: Point;Intersection(l, C) = {A, B};G: Circle;IsDiameter(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 1378,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1378.png",
+      "answer": "y=pm*(3/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1379,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1380,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1380.png",
+      "answer": "y^2 = -36*(x - 4)",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/16 - y^2/9 = 1);Vertex(H) = RightVertex(G);Focus(H) = LeftFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1381,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1381.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1382,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.0987446308135986,
+        "b": 1.8757982470995966,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 7.841294542546938e-06,
+        "converged": true,
+        "iterations": 109
+      },
+      "output_path": "results/train/ellipse/problem_1382.png",
+      "answer": "9/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;Q: Point;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(Q) = (2, sqrt(2));LeftFocus(C) = F1;RightFocus(C) = F2;Abs(LineSegmentOf(F1, F2)) = 4;PointOnCurve(Q, C);PointOnCurve(P, C)",
+      "coords": {
+        "Q": [
+          2.0,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1383,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1383.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2));AngleOf(P, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1384,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1384.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;L: Line;PointOnCurve(F2, L) = True;IsPerpendicular(L, xAxis) = True;Intersection(L, C) = {A, B};A: Point;B: Point;Intersection(LineSegmentOf(F1, A), yAxis) = D;D: Point;IsPerpendicular(LineSegmentOf(B, D), LineSegmentOf(F1, A)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1385,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1385.png",
+      "answer": "x^2/3 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1);C: Hyperbola;Asymptote(C) = Asymptote(G);M: Point;Coordinate(M) = (2, 2);PointOnCurve(M, C)",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1386,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1386.png",
+      "answer": "(\\sqrt{2}, 2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;Expression(G) = (y = x);IsIntersect(C, G);P: Point;PointOnCurve(P, C);Negation(P=Vertex(C));AngleOf(P, F2, F1) = 3*AngleOf(P, F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1387,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1387.png",
+      "answer": "{0, -1/2}",
+      "fact_expr": "G: Parabola;H: Line;k: Real;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x - 4);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1388,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1388.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1389,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1389.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;l: Line;O: Circle;Expression(O) = (x^2 + y^2 = b^2);IsTangent(l, O);Inclination(l) = pi/3;PointOnCurve(RightVertex(C), l)",
+      "coords": {}
+    },
+    {
+      "index": 1390,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1390.png",
+      "answer": "16/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/9 + y^2/4 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1391,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1391.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;p: Number;B: Point;P: Point;A: Point;E: Point;F: Point;l: Line;l1:Line;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(A,C);PointOnCurve(A,l1);IsPerpendicular(l,l1);FootPoint(l,l1)=B;Coordinate(P)=(9*p/2,0);Intersection(LineSegmentOf(A,F),LineSegmentOf(B,P))=E;Abs(LineSegmentOf(P, F)) = 2*Abs(LineSegmentOf(A, F));Area(TriangleOf(P, A, E)) = 6*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1392,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1392.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;C: Circle;M: Point;A: Point;F: Point;Expression(G) = (x^2 = 4*y);Expression(C) = ((x + 1)^2 + (y - 5)^2 = 1);PointOnCurve(M, G);PointOnCurve(A, C);Focus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 1393,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1393.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;Intersection(Directrix(G),xAxis)=M;PointOnCurve(N,G);2*Abs(LineSegmentOf(N, F)) = Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 1394,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1394.png",
+      "answer": "9/4",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Radius(InscribedCircle(TriangleOf(F1, P, F2))) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 1395,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1395.png",
+      "answer": "12",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y^2 + (x - 2)^2 = 4);Slope(l) = sqrt(3)/3;PointOnCurve(Focus(G), l);IsTangent(l, H)",
+      "coords": {}
+    },
+    {
+      "index": 1396,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1396.png",
+      "answer": "pm*4",
+      "fact_expr": "G: Parabola;p: Number;Q: Point;m: Real;Expression(G) = (y^2 = 2*p*x);Coordinate(Q) = (1, m);PointOnCurve(Q, G);Distance(Q,Focus(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 1397,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1397.png",
+      "answer": "x=-1",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = 4*x);PointOnCurve(Focus(C), l);A: Point;B: Point;Intersection(l, C) = {A, B};Z1: Line;Z2: Line;TangentOfPoint(A, C) = Z1;TangentOfPoint(B, C) = Z2;P: Point;Intersection(Z1, Z2) = P",
+      "coords": {}
+    },
+    {
+      "index": 1398,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1399,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1399.png",
+      "answer": "x^2/9 - y^2/4 = 1",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(E) = F;L: Line;H: Point;PointOnCurve(F, L);IsPerpendicular(OneOf(Asymptote(E)), L);FootPoint(OneOf(Asymptote(E)), L) = H;O: Origin;Abs(LineSegmentOf(F, H)) = 2;Area(TriangleOf(F, O, H)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1400,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1401,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.9959803819656372,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 3.6780886603082763e-07,
+        "converged": true,
+        "iterations": 56
+      },
+      "output_path": "results/train/parabola/problem_1401.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;a: Number;A: Point;Expression(G) = (x^2 = a*y);Coordinate(A) = (1, 1/4);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          1.0,
+          0.25
+        ]
+      }
+    },
+    {
+      "index": 1402,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1403,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1403.png",
+      "answer": "5*sqrt(2)/2",
+      "fact_expr": "C: Ellipse;G: Line;P: Point;Expression(C) = (x^2/3 + y^2 = 1);Expression(G) = (x + y - 3 = 0);PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 1404,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0009275674819946,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 1.0271783139614854e-06,
+        "converged": true,
+        "iterations": 82
+      },
+      "output_path": "results/train/parabola/problem_1404.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;P: Point;Coordinate(P) = (2, 2*sqrt(2));PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          2.0,
+          2.8284271247461903
+        ]
+      }
+    },
+    {
+      "index": 1405,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_1405.png",
+      "answer": "2+2*sqrt(2)",
+      "fact_expr": "H:Ellipse;G:Parabola;M:Point;Coordinate(M)=(1,2);PointOnCurve(M,H);PointOnCurve(M,G);Focus(G)=Focus(H);PointOnCurve(Focus(G),xAxis);PointOnCurve(Focus(H),xAxis);SymmetryAxis(H)=axis;O:Origin;Vertex(G)=O",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1406,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1406.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "O: Origin;O1: Circle;Expression(O1) = (x^2 + y^2 = 4);O2: Circle;Expression(O2) = (x^2 + y^2 = 1);A: Point;PointOnCurve(A, O1);B: Point;Intersection(LineSegmentOf(O, A), O2) = B;L: Line;IsPerpendicular(L, xAxis);PointOnCurve(A, L);C: Point;Intersection(L, xAxis) = C;D: Point;L1: Line;IsPerpendicular(L1, LineSegmentOf(A, C));PointOnCurve(B, L1);Intersection(L1, LineSegmentOf(A, C)) = D",
+      "coords": {}
+    },
+    {
+      "index": 1407,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1408,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1408.png",
+      "answer": "x^2/9+y^2/5=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(G) = (x^2/4 - y^2/5 = 1);Focus(G)=Vertex(H);Vertex(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1409.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;A: Point;D: Point;B: Point;F: Point;l: Line;x0:Number;p>0;x0>0;Expression(C) = (y^2 = 2*p*x);Coordinate(A) = (1, 2);Coordinate(D) = (x0, 0);Focus(C)=F;Directrix(C)=l;Distance(F, l) = 2;PointOnCurve(B, C);AngleOf(A,B,D)=AngleOf(A,D,B);AngleOf(A,D,B)=ApplyUnit(45,degree)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1410,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1410.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "P: Point;B1: Point;G: Ellipse;b: Number;a: Number;B2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LowerVertex(G)=B1;UpperVertex(G)=B2;PointOnCurve(P, G);Slope(LineOf(P,B1))=1/4;Slope(LineOf(P,B2))=-1",
+      "coords": {}
+    },
+    {
+      "index": 1411,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1411.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 2)",
+      "coords": {}
+    },
+    {
+      "index": 1412,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1412.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;B: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;UpperVertex(C)=B;Radius(CircumCircle(TriangleOf(B,F1,F2)))=(2*b)/3",
+      "coords": {}
+    },
+    {
+      "index": 1413,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1413.png",
+      "answer": "-1/4",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;A: Point;P: Point;B: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (-a, 0);Coordinate(B) = (a, 0);PointOnCurve(P, E);Negation(P=A);Negation(P=B);Eccentricity(E) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 1414,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1414.png",
+      "answer": "pm*1/2",
+      "fact_expr": "P: Point;C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);UpperVertex(C) = P;O: Origin;PointOnCurve(O, l) = True;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;Area(TriangleOf(P, A, B)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1415,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1415.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1416,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1416.png",
+      "answer": "20",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (x^2 = -4*y);Expression(l) = (2*x - y - 1 = 0);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1417,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1418,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.3484079837799072,
+        "b": 1.8638464212417603,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.620347226591548e-06,
+        "converged": true,
+        "iterations": 88
+      },
+      "output_path": "results/train/hyperbola/problem_1419.png",
+      "answer": "12/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, Asymptote(C));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1420,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1420.png",
+      "answer": "sqrt(2)/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);M: Point;PointOnCurve(M, G) = True;F: Point;Focus(G) = F;Distance(M, F) = 3/2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1421,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1422,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_1422.png",
+      "answer": "2",
+      "fact_expr": "P: Point;Coordinate(P) = (2, 3);PointOnCurve(P, C);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(C) = 4",
+      "coords": {
+        "P": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1423,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1423.png",
+      "answer": "{(4*sqrt(5)/5)*b,(2*sqrt(5)/5)*a}",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;Q: Point;M: Point;P: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (0,b);Coordinate(Q) = (0,-b);Endpoint(MinorAxis(G))={P,Q};OneOf(Endpoint(MajorAxis(G)))=M;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(Center(G), LineSegmentOf(A,B));Negation(OverlappingLine(LineSegmentOf(A,B),axis));Slope(LineSegmentOf(P,A))*Slope(LineSegmentOf(P,B))=-1/4",
+      "coords": {}
+    },
+    {
+      "index": 1424,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1424.png",
+      "answer": "y^2 - x^2/3 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;O: Origin;Expression(H) = (y = x^2/8);Center(G) = O;OneOf(Focus(G)) = Focus(H);Eccentricity(G)=2",
+      "coords": {}
+    },
+    {
+      "index": 1425,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1425.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;G: Ellipse;P: Point;Q: Point;M: Point;Expression(G) = (x^2 + y^2/2 = 1);PointOnCurve(Focus(G), l);Intersection(l, G) = {P, Q};Intersection(PerpendicularBisector(LineSegmentOf(P,Q)),xAxis) = M",
+      "coords": {}
+    },
+    {
+      "index": 1426,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1426.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;B: Point;O: Origin;Z: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, Z);Intersection(Z, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B);Area(TriangleOf(O, A, B)) = Abs(LineSegmentOf(A, B))*sqrt(2)/3",
+      "coords": {}
+    },
+    {
+      "index": 1427,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1427.png",
+      "answer": "{y=(1/2)*x - 1,y=-(1/2)*x+1}",
+      "fact_expr": "l: Line;C: Hyperbola;P: Point;Expression(C) = (x^2 - 4*y^2 = 1);Coordinate(P) = (2, 0);PointOnCurve(P,l);NumIntersection(l,C)=1",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1428,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1428.png",
+      "answer": "64",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/36 - y^2/m = 1);e:Number;Eccentricity(G)=e;e=5/3",
+      "coords": {}
+    },
+    {
+      "index": 1429,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/train/hyperbola/problem_1429.png",
+      "answer": "1/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = 3;G: Parabola;Expression(G) = (y = x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 1430,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1430.png",
+      "answer": "5/4",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;Expression(C) = (y^2 = x);PointOnCurve(Focus(C), G);Intersection(G, C) = {A, B};IsChordOf(LineSegmentOf(A, B), C);Length(LineSegmentOf(A, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1431,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1431.png",
+      "answer": "sqrt(a*b)",
+      "fact_expr": "l: Line;G: Parabola;p: Number;P: Point;R: Point;Q: Point;S: Point;F: Point;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, l);Intersection(l,G)={P,Q};L1:Line;L2:Line;PointOnCurve(P,LineSegmentOf(P,R));PointOnCurve(Q,LineSegmentOf(Q,S));Directrix(G)={L1,L2};IsPerpendicular(L1,LineSegmentOf(P,R));IsPerpendicular(L2,LineSegmentOf(Q,S));FootPoint(L1,LineSegmentOf(P,R))=R;FootPoint(L2,LineSegmentOf(Q,S))=S;Abs(LineSegmentOf(P,F))=a;Abs(LineSegmentOf(Q, F)) = b;MidPoint(LineSegmentOf(R, S)) = M;a:Number;b:Number",
+      "coords": {}
+    },
+    {
+      "index": 1432,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1432.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A,B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1433,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 3.9731175899505615,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00018243117665406317,
+        "converged": true,
+        "iterations": 127
+      },
+      "output_path": "results/train/parabola/problem_1433.png",
+      "answer": "-2",
+      "fact_expr": "C: Parabola;p: Number;P: Point;A: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (1, 4);PointOnCurve(P, C);Intersection(LineOf(P, A), C) = A;Intersection(LineOf(P, B), C) = B;Slope(LineOf(P, A)) + Slope(LineOf(P, B)) = 0",
+      "coords": {
+        "P": [
+          1.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1434,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1434.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;P: Point;Expression(G) = (x^2/4 - y^2/5 = 1);Coordinate(A) = (3, 0);Coordinate(B) = (9, 5);PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ],
+        "B": [
+          9.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 1435,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1435.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x);P: Point;PointOnCurve(P, G);Distance(P, xAxis) = 12;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1436,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1436.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;Q: Point;R: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (y^2 + (x + 1)^2 = 1);Expression(C) = (y^2 + (x - 1)^2 = 1);PointOnCurve(P, G);PointOnCurve(Q, H);PointOnCurve(R, C)",
+      "coords": {}
+    },
+    {
+      "index": 1437,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1437.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);A: Point;B: Point;PointOnCurve(A, RightPart(G));PointOnCurve(B, RightPart(G));Distance(MidPoint(LineSegmentOf(A, B)), yAxis) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1438,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1438.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1439,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_1439.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;b: Number;Expression(G) = (x^2/6 - y^2/b^2 = 1);Eccentricity(G) = sqrt(6)/2",
+      "coords": {}
+    },
+    {
+      "index": 1440,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1440.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;C: Point;F: Point;Expression(G) = (y^2 = 9*x);Focus(G) = F;Intersection(Directrix(G), xAxis) = C;PointOnCurve(F, H);Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);Distance(MidPoint(LineSegmentOf(A, B)), Directrix(G)) = 18",
+      "coords": {}
+    },
+    {
+      "index": 1441,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1441.png",
+      "answer": "9",
+      "fact_expr": "PointOnCurve(Focus(Gamma), xAxis);Gamma: Ellipse;Expression(Gamma) = (x^2/16 + y^2/m = 1);m: Number;FocalLength(Gamma) = 2*sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 1442,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1443,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1443.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;H: Circle;A: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (y^2 + (x + 5)^2 = 4);Expression(A) = (y^2 + (x - 5)^2 = 1);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, A)",
+      "coords": {}
+    },
+    {
+      "index": 1444,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1444.png",
+      "answer": "sqrt(10) - 1",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 3);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1445,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1445.png",
+      "answer": "[4,+oo)",
+      "fact_expr": "H: Line;Expression(H) = (x = t);t: Number;G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(H, G) = {A, B};C: Point;PointOnCurve(C, G) = True;IsPerpendicular(LineSegmentOf(A, C), LineSegmentOf(B, C)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1446,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1446.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;F: Point;Focus(G) = F;Coordinate(F) = (0, -1/2);P: Point;Coordinate(P) = (1, t);t: Number;PointOnCurve(P, G)",
+      "coords": {
+        "F": [
+          0.0,
+          -0.5
+        ]
+      }
+    },
+    {
+      "index": 1447,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1447.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F1), VectorOf(P, F2));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 1448,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1448.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a <= sqrt(3)*b;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1449,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1449.png",
+      "answer": "(3,4)+(4,25/4)",
+      "fact_expr": "G: Ellipse;t: Number;P:Point;Expression(G)=(x^2/4 + y^2/t=1);PointOnCurve(P,G);Distance(P,OneOf(Focus(G)))>1",
+      "coords": {}
+    },
+    {
+      "index": 1450,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1450.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);RightFocus(G) = F;Distance(F,Asymptote(G))=1",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1451,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1451.png",
+      "answer": "11/3",
+      "fact_expr": "G: Ellipse;M: Point;A: Point;B: Point;Expression(G) = (x^2/16 + y^2/4 = 1);Coordinate(M) = (1, 0);PointOnCurve(A, G);PointOnCurve(B, G);IsPerpendicular(LineSegmentOf(M, A), LineSegmentOf(M, B))",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1452,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1452.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(M,C);Focus(C)=F;M:Point;F:Point;Distance(M,F)-Distance(M,yAxis)=2",
+      "coords": {}
+    },
+    {
+      "index": 1453,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1453.png",
+      "answer": "9",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;P: Point;F: Point;Expression(C) = (y^2 = 2*x);Coordinate(P) = (4, 1);PointOnCurve(P, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = P;Focus(C) = F",
+      "coords": {
+        "P": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1454,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1454.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (2, 2);F: Point;Focus(G) = F;WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1455,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1455.png",
+      "answer": "y=pm*sqrt(6)*x/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;l: Line;Expression(l)=(y=-sqrt(3)*a+sqrt(3)*x);Intersection(l, RightPart(C)) = {A, B};A: Point;B: Point;Intersection(l, yAxis) = M;M: Point;VectorOf(A, B) = -2*VectorOf(A, M)",
+      "coords": {}
+    },
+    {
+      "index": 1456,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1456.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);F: Point;LeftFocus(G) = F;A: Point;Coordinate(A) = (1, 4);P: Point;PointOnCurve(P, RightPart(G)) = True",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1457,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1458,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1458.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "F1: Point;F2: Point;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F1, l);Intersection(l, C) = {A, B};A: Point;B: Point;Intersection(l, yAxis) = P;P: Point;VectorOf(F1, P) = (3/2)*VectorOf(A, F1);AngleOf(P, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1459,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1459.png",
+      "answer": "11",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/9 - y^2/7 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1460,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1460.png",
+      "answer": "x^2/4 - y^2/2 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (x - sqrt(2)*y = 0);PointOnCurve(P, C);Min(Abs(LineSegmentOf(O, P))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1461,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1462,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1463,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1463.png",
+      "answer": "pi/2",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Q: Point;F: Point;Expression(G) = (y = -x^2/4);Coordinate(P) = (-4, -4);Focus(G) = F;TangentPoint(l, G) = P;Intersection(l, xAxis) = Q",
+      "coords": {
+        "P": [
+          -4.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 1464,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1464.png",
+      "answer": "{-1, 0}",
+      "fact_expr": "E: Parabola;F: Line;k: Real;Expression(E) = (y^2 = 4*x);Expression(F) = (y = k*x - 1);NumIntersection(F, E) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1465,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_1465.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(6)/2",
+      "coords": {}
+    },
+    {
+      "index": 1466,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1466.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (y^2/9 - x^2/a = 1);Expression(Asymptote(G)) = (3*x+pm*2*y=0)",
+      "coords": {}
+    },
+    {
+      "index": 1467,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1467.png",
+      "answer": "4*sqrt(41)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/25 + x^2/a^2 = 1);a: Number;a > 5;F1: Point;F2: Point;Focus(G) = {F1, F2};Abs(LineSegmentOf(F1, F2)) = 8;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) = True;PointOnCurve(F1, LineSegmentOf(A, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1468,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1468.png",
+      "answer": "(2, +oo)",
+      "fact_expr": "l: Line;Expression(l) = (x = m*y + 2);m: Number;C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Z: Line;O: Origin;PointOnCurve(O, Z);IsChordOf(LineSegmentOf(A, B), C);D: Point;MidPoint(LineSegmentOf(A, B)) = D;PointOnCurve(D, Z);E: Point;Negation(E=O);Intersection(Z, C) = E",
+      "coords": {}
+    },
+    {
+      "index": 1469,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1469.png",
+      "answer": "(\\sqrt{6}/3,\\sqrt{6})",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2/6 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;L: Line;PointOnCurve(F2, L) = True;Intersection(L, RightPart(G)) = {A, B};A: Point;B: Point;Quadrant(A) = 1;C: Circle;IsInTangent(C, TriangleOf(A, F1, F2)) = True;Radius(C) = r;r: Number",
+      "coords": {}
+    },
+    {
+      "index": 1470,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1470.png",
+      "answer": "15/16",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y = 4*x^2);PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1471,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1471.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;PointOnCurve(F, l) = True;Intersection(l, G) = {A, B};A: Point;B: Point;VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1472,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1472.png",
+      "answer": "(-(a^2-b^2)/a, (a^2-b^2)/a)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>b;b>0;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);x0: Number;P: Point;Coordinate(P) = (x0, 0);Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 1473,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1473.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/5 + y^2/4 = 1);H: Circle;Expression(H) = (-6*x + x^2 + y^2 + 8 = 0);C: Point;Center(H) = C",
+      "coords": {}
+    },
+    {
+      "index": 1474,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1475,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1475.png",
+      "answer": "8*sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);O: Origin;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B));Inclination(LineOf(A, B)) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1476,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1477,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1477.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;B: Point;C: Point;A: Point;Expression(G) = (x^2/3 + y^2 = 1);PointOnCurve(B, G);PointOnCurve(C, G);OneOf(Focus(G)) = A;F:Point;OneOf(Focus(G))=K;Negation(A = F);PointOnCurve(F, LineSegmentOf(B, C))",
+      "coords": {}
+    },
+    {
+      "index": 1478,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_1478.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;A: Point;O: Origin;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*p*x);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(L1,Directrix(H))=A;Intersection(L2,Directrix(H))=B;Eccentricity(G)=2;Area(TriangleOf(A,O,B))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1479,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1480.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Hyperbola;F1: Point;B: Point;F2: Point;A: Point;L1:Line;L2:Line;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(F1,l);Asymptote(C)={L1,L2};Intersection(l,L1)=A;Intersection(l,L2)=B;DotProduct(VectorOf(F1,B),VectorOf(F2,B))=0;VectorOf(F1, A) = lambda*VectorOf(A, B);lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 1481,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1481.png",
+      "answer": "(-oo, -sqrt(2)/2]+[sqrt(2)/2, +oo)",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};H: Line;Expression(H) = (x = -1/2);PointOnCurve(MidPoint(LineSegmentOf(A, B)), H)",
+      "coords": {}
+    },
+    {
+      "index": 1482,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1482.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Point;Coordinate(H) = (4, 2);PointOnCurve(H, OneOf(Asymptote(G))) = True",
+      "coords": {
+        "H": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1483,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1483.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1484,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1484.png",
+      "answer": "1",
+      "fact_expr": "F1: Point;F2: Point;Focus(M) = {F1,F2};Focus(N) = {F1,F2};M: Ellipse;Expression(M) = (y^2/2 + x^2/m^2 = 1);m: Number;N: Hyperbola;Expression(N) = (-y^2 + x^2/n^2 = 1);n: Number;P: Point;OneOf(Intersection(M,N)) = P;IsPerpendicular(LineSegmentOf(P,F1), LineSegmentOf(F1,F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 1485,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1486,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1486.png",
+      "answer": "-2*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F,l);Intersection(l,C)={A,B};Quadrant(A)=4;VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1487,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1487.png",
+      "answer": "10 + 2*sqrt(10)",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Coordinate(A) = (4, 0);Coordinate(B) = (2, 2);PointOnCurve(M, G)",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ],
+        "B": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1488,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1489,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1490,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          5.0,
+          0.0
+        ],
+        "radius": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1490.png",
+      "answer": "{(x^2/9-y^2/16=1)&(x>0)}",
+      "fact_expr": "A: Circle;Expression(A) = (y^2 + (x + 5)^2 = 49);B:Circle;Expression(B)=((x-5)^2+y^2=49);H:Circle;IsOutTangent(H,A);IsOutTangent(H,B);P:Point;Center(H)=P",
+      "coords": {}
+    },
+    {
+      "index": 1491,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1491.png",
+      "answer": "8*sqrt(7)/7",
+      "fact_expr": "G: Ellipse;L: Line;A: Point;B: Point;F2: Point;F1: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, L);Intersection(L, G) = {A, B};Area(InscribedCircle(TriangleOf(A,B,F2)))=pi",
+      "coords": {}
+    },
+    {
+      "index": 1492,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1492.png",
+      "answer": "{pm*1, pm*sqrt(5)}",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = k*x + 2);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1493,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1493.png",
+      "answer": "4",
+      "fact_expr": "l: Line;E: Parabola;p: Number;B: Point;C: Point;F: Point;A: Point;p>0;Expression(E) = (y^2 = 2*(p*x));Focus(E) = F;PointOnCurve(F, l);Intersection(l, E) = {A, B};Intersection(l, Directrix(E)) = C;Between(B, A, C);Abs(LineSegmentOf(B, C)) = 3*Abs(LineSegmentOf(B, F));Abs(LineSegmentOf(A, B)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 1494,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1495,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1495.png",
+      "answer": "3",
+      "fact_expr": "m: Line;l:Line;G: Parabola;p: Number;A: Point;F: Point;C: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, m);Intersection(m,G)={A,B};Intersection(m,l)=C;Abs(LineSegmentOf(A, F)) = 6;VectorOf(C, B) = 2*VectorOf(B, F);Directrix(G)=l",
+      "coords": {}
+    },
+    {
+      "index": 1496,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1496.png",
+      "answer": "3/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;F1: Point;F2: Point;G: Line;Expression(G) = (y = sqrt(3)*b);Intersection(G, RightPart(C)) = P;P: Point;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1497,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1497.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);P: Point;PointOnCurve(P, C);Negation(P=Vertex(C));M: Point;Coordinate(M) = (0, -1);F: Point;Focus(C) = F;k: Real;Sin(AngleOf(P, F, M)) = k*Sin(AngleOf(P, M, F))",
+      "coords": {
+        "M": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1498,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1498.png",
+      "answer": "4*sqrt(10)",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 4*x);Intersection(H, G) = {A, B};Slope(H) = 1;Circumcenter(TriangleOf(O, A, B)) = M;WhenMax(Abs(LineSegmentOf(A, B)))",
+      "coords": {}
+    },
+    {
+      "index": 1499,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1499.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;C1:Circle;b: Number;a: Number;c: Number;F: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(C1) = (y^2 + (-c/2 + x)^2 = b^2/16);RightFocus(C) = F;PointOnCurve(A, C);TangentPoint(LineOf(A,F),C1)=B;VectorOf(A, F) = 4*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 1500,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1500.png",
+      "answer": "[\\sqrt{3}/2, 1)",
+      "fact_expr": "C: Ellipse;O: Circle;a: Number;b: Number;Expression(C) = (x^2/a^2 + y^2/b^2 = 1);a>b;b>0;Expression(O) = (x^2 + y^2 = b^2);P: Point;PointOnCurve(P, C);L1: Line;L2: Line;TangentOfPoint(P, O) = {L1, L2};A: Point;B: Point;TangentPoint(L1, O) = A;TangentPoint(L2, O) = B;AngleOf(A, P, B) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1501,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1501.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;OneOf(Focus(G)) = F;Z: Line;PointOnCurve(F, Z);IsPerpendicular(Z, OneOf(Asymptote(G)));PointOnCurve(FootPoint(Z, OneOf(Asymptote(G))), PerpendicularBisector(LineSegmentOf(O, F)));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1502,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "y",
+        "x_coef": 12.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1502.png",
+      "answer": "y^2/2 - x^2/2 = 1",
+      "fact_expr": "G: Hyperbola;C: Ellipse;H: Point;Expression(C) = (x^2/12 + y^2/16 = 1);Coordinate(H) = (1, sqrt(3));Focus(G)=Focus(C);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          1.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 1503,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1503.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1504,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1504.png",
+      "answer": "y^2/8 - x^2/2 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2 - y^2/4 = 1);Coordinate(H) = (1, 2*sqrt(3));PointOnCurve(H, C);Asymptote(C)=Asymptote(G)",
+      "coords": {
+        "H": [
+          1.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 1505,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1505.png",
+      "answer": "6",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;Distance(Focus(C),Asymptote(C))=3",
+      "coords": {}
+    },
+    {
+      "index": 1506,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1506.png",
+      "answer": "5*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(P) = (8, y0);Focus(G) = {F1, F2};PointOnCurve(P, G);y0:Number",
+      "coords": {}
+    },
+    {
+      "index": 1507,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1507.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1508,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1508.png",
+      "answer": "9/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);H:LineSegment;F: Point;IsChordOf(H,G);OneOf(Focus(G))=F;PointOnCurve(F,H);WhenMin(Length(H))",
+      "coords": {}
+    },
+    {
+      "index": 1509,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1509.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1510,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1510.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "E: Hyperbola;b: Number;b>0;Expression(E) = (x^2/6 - y^2/b^2 = 1);Expression(Asymptote(E)) = (y = pm*(x*(sqrt(3)/3)))",
+      "coords": {}
+    },
+    {
+      "index": 1511,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1512,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1512.png",
+      "answer": "y^2 = x - 15/4",
+      "fact_expr": "A: Point;Coordinate(A) = (5, 0);G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);M: Point;PointOnCurve(M, LineSegmentOf(P, A));Abs(LineSegmentOf(P, M)) = 3*Abs(LineSegmentOf(M, A))",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1513,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1513.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;e: Number;Eccentricity(G)=e;e = 2",
+      "coords": {}
+    },
+    {
+      "index": 1514,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1515,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "y",
+        "x_coef": 16.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1515.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/25 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1516,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1517,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1517.png",
+      "answer": "-16",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);Negation(A=B);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1518,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1519,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1519.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Ellipse;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2/9 + y^2/4 = 1);Focus(C) = Focus(G);Expression(Asymptote(C)) = (y = pm*(2*x))",
+      "coords": {}
+    },
+    {
+      "index": 1520,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1520.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;k:Number;Expression(G) = (y^2 = 8*x);k>0;Expression(H) = (y = k*(x - 2));Intersection(H, G) = {A, B};Focus(G) = F;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 1521,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1521.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;PointOnCurve(F1, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A,B),G);Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2)) = 12;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 1522,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1523,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1523.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);Distance(A, F) + Distance(B, F) = 5;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1524,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1524.png",
+      "answer": "[1/2, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;Intersection(RightDirectrix(G), xAxis) = A;PointOnCurve(P, G);PointOnCurve(F, PerpendicularBisector(LineSegmentOf(A, P)))",
+      "coords": {}
+    },
+    {
+      "index": 1525,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.826896789078654,
+        "b": 2.826896789078654,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 7.081136889894256e-06,
+        "converged": true,
+        "iterations": 75
+      },
+      "output_path": "results/train/hyperbola/problem_1525.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Focus(G) = {F1, F2};Coordinate(F1) = (-4, 0);Coordinate(F2) = (4, 0);Length(RealAxis(G)) = Length(ImageinaryAxis(G))",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ],
+        "F2": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1526.png",
+      "answer": "[sqrt(2)/2, 1]",
+      "fact_expr": "G: Parabola;N: Point;F: Point;M: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;Intersection(Directrix(G),SymmetryAxis(G))=M;PointOnCurve(N, G);lambda: Number;Abs(LineSegmentOf(N, F)) = lambda*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 1527,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.8176298651812968,
+        "b": 2.452642014841466,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4992967561765154e-06,
+        "converged": true,
+        "iterations": 283
+      },
+      "output_path": "results/train/hyperbola/problem_1527.png",
+      "answer": "{(x^2-y^2/9=1),(y^2/9-x^2=1)}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*3*x);FocalLength(G)=2*sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 1528,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1528.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l1: Line;Directrix(C) = l1;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);PointOnCurve(OneOf(Vertex(G)), l1);P: Point;PointOnCurve(P, C);l2: Line;Expression(l2) = (3*x - 4*y + 27 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 1529,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1529.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Ellipse;P: Point;A: Point;M: Point;x1: Number;y1: Number;Expression(G) = (x^2/100 + y^2/64 = 1);Coordinate(A) = (6, 0);Coordinate(P) = (x1, y1);PointOnCurve(P, G);Abs(VectorOf(A, M)) = 1;DotProduct(VectorOf(P, M), VectorOf(A, M)) = 0",
+      "coords": {
+        "A": [
+          6.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1530,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1530.png",
+      "answer": "26",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);Intersection(l, RightPart(G)) = {A, B};Abs(LineSegmentOf(A, B)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1531,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1532,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1532.png",
+      "answer": "(2, +oo)",
+      "fact_expr": "A: Point;B: Point;G: Parabola;M: Point;m:Number;Expression(G) = (y^2 = 4*x);Coordinate(M) = (m, 0);PointOnCurve(A,G);PointOnCurve(B,G);Negation(IsPerpendicular(LineOf(A,B),xAxis));Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = M",
+      "coords": {}
+    },
+    {
+      "index": 1533,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1533.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1534,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1534.png",
+      "answer": "pi/4",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y = x^2);Coordinate(M) = (1/2, 1/4);PointOnCurve(M,G)",
+      "coords": {
+        "M": [
+          0.5,
+          0.25
+        ]
+      }
+    },
+    {
+      "index": 1535,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1535.png",
+      "answer": "-3/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);H: Line;PointOnCurve(Focus(G), H)  ;Intersection(G, H) = {A, B};O: Origin;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1536,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1536.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 4);Length(InterceptChord(OneOf(Asymptote(C)),G))=2",
+      "coords": {}
+    },
+    {
+      "index": 1537,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1538,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1538.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Parabola;Expression(G) = (y = x^2 + 1);IsTangent(Asymptote(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 1539,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1539.png",
+      "answer": "x + 4*y - 5 = 0",
+      "fact_expr": "G: Ellipse;H: LineSegment;A: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(A) = (1, 1);IsChordOf(H, G);MidPoint(H) = A",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1540,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1540.png",
+      "answer": "x^2/2 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/8 + y^2/4 = 1);Eccentricity(G) = sqrt(2);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 1541,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1541.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;PointOnCurve(A, C);IsPerpendicular(LineSegmentOf(A, F2), LineSegmentOf(F1, F2));Intersection(LineOf(A, F1), C) = {A, B};B: Point;VectorOf(F1, A) = 4*VectorOf(F1, B)",
+      "coords": {}
+    },
+    {
+      "index": 1542,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1543,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1543.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);M: Point;Projection(P, yAxis) = M;A: Point;a: Number;Coordinate(A) = (4, a);Abs(a)>4",
+      "coords": {}
+    },
+    {
+      "index": 1544,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1544.png",
+      "answer": "pm*6",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p>0;F: Point;Focus(C) = F;M: Point;Coordinate(M) = (x0, 3);x0: Number;PointOnCurve(M, C) = True;Distance(M, F) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1545,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1546,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1546.png",
+      "answer": "10",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(P) = (1, 4);Focus(G) = F;PointOnCurve(P, l);Intersection(l, G) = {A,B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1547,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1547.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;H: Line;F: Point;N: Point;M: Point;D: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(F, H);Slope(H) = sqrt(3);Intersection(H, G) = M;IsPerpendicular(LineSegmentOf(M, N),l);FootPoint(LineSegmentOf(M, N),l)=N;Intersection(LineOf(N,F), yAxis) = D;Quadrant(M)=1",
+      "coords": {}
+    },
+    {
+      "index": 1548,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1549,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1549.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 2*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1550,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1550.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F2: Point;F1: Point;a>0;b>0;LeftFocus(C)= F1;RightFocus(C)= F2;l:Line;Slope(l)=1;PointOnCurve(F1,l);P:Point;Intersection(l,RightPart(C))=P;AngleOf(F1, F2, P)=ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1551,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1551.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);M:Point;F1:Point;F2:Point;PointOnCurve(M,G);Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 1552,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1553,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1554,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1554.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;M: Point;N: Point;F: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(M, C);Focus(C) = F;L:Line;PointOnCurve(M,L);IsPerpendicular(L,Directrix(C));FootPoint(L,Directrix(C))=N;AngleOf(M, F, O) = ApplyUnit(120, degree);Perimeter(TriangleOf(M, N, F)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1555,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1555.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;P: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Directrix(G) = l;PointOnCurve(F,H);Intersection(H,G)={A,B};Quadrant(B)=1;Intersection(H, l) = P;VectorOf(A, F) = VectorOf(F, B)/2;VectorOf(A, P) = lambda*VectorOf(A, F);lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 1556,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1556.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;F2: Point;A: Point;B: Point;C: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1, H);IsPerpendicular(H,xAxis);Intersection(H, G) = {A, B};Intersection(LineOf(A,F2),G)={A,C};Area(TriangleOf(A, B, C)) = 3*Area(TriangleOf(B, C, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1557,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1558,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1558.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;l:Line;Expression(G) = (x^2 = 2*p*y);Expression(H) = (-6*x + x^2 + y^2 - 1 = 0);Directrix(G)=l;Length(InterceptChord(l,H))=4",
+      "coords": {}
+    },
+    {
+      "index": 1559,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1559.png",
+      "answer": "[-12,84]",
+      "fact_expr": "C: Ellipse;M: Circle;A: Point;B: Point;P: Point;Expression(C) = (x^2/36 + y^2/20 = 1);Expression(M) = (y^2 + x^2 - 8*x = 0);PointOnCurve(P, C);IsDiameter(LineSegmentOf(A, B), M)",
+      "coords": {}
+    },
+    {
+      "index": 1560,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 16.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1560.png",
+      "answer": "3+2*sqrt(2)",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 64*x);Focus(C)=F;PointOnCurve(F,G);Intersection(G,C)={A,B};Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B));Slope(G)=1",
+      "coords": {}
+    },
+    {
+      "index": 1561,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1561.png",
+      "answer": "2*x-y-15=0",
+      "fact_expr": "P: Point;Coordinate(P) = (8, 1);G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);H: LineSegment;IsChordOf(H, G);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1562,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1562.png",
+      "answer": "64",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;O: Origin;F:Point;Expression(C) = (y^2 = 16*x);Inclination(l)=pi/6;Focus(C)=F;PointOnCurve(F,l);Intersection(l,C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1563,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1563.png",
+      "answer": "y^2=sqrt(2)*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;PointOnCurve(A, C);G: Circle;Center(G) = F;Radius(G)=LineSegmentOf(F,A);B: Point;D: Point;Intersection(G, l) = {B, D};AngleOf(F, B, D) = ApplyUnit(30, degree);Area(TriangleOf(A, B, D)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1564,
+      "success": false,
+      "error": "Circle from diameter: cannot parse diameter pattern"
+    },
+    {
+      "index": 1565,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1565.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;l1:Line;l2:Line;A: Point;B: Point;D: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F,l1);PointOnCurve(F,l2);IsPerpendicular(l1,l2);Intersection(l1, C) = {A, B};Intersection(l2, C) = {D, E}",
+      "coords": {}
+    },
+    {
+      "index": 1566,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7071067811865476,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1566.png",
+      "answer": "x^2/2 + y^2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;O: Origin;Expression(G) = (2*x^2 - 2*y^2 = 1);Center(H) = O;Focus(H) = Focus(G);InterReciprocal(Eccentricity(G), Eccentricity(H))",
+      "coords": {}
+    },
+    {
+      "index": 1567,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1567.png",
+      "answer": "y=pm*(3/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;C1: Circle;Expression(C1) = (x^2 + y^2 - 4*x - 6*y = 0);PointOnCurve(Center(C1), OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 1568,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 1569,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1569.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1570,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1570.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(M,G);PointOnCurve(N,G);Negation(M=N);Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 1571,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1571.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/9 + y^2/5 = 1);PointOnCurve(OneOf(Focus(H)), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 1572,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1572.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;Expression(G) = (x^2/4 + y^2/2 = 1);Coordinate(MidPoint(H)) = (1, 1);IsChordOf(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 1573,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1573.png",
+      "answer": "((2*x-1)^2)/2+y^2=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);P:Point;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 1574,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1574.png",
+      "answer": "7",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(C) = sqrt(3)/2;F1: Point;F2: Point;Focus(C) = {F1, F2};l: Line;PointOnCurve(F1, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1575,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1575.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "F: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;RightFocus(G) = F;A: Point;OneOf(Endpoint(MinorAxis(G))) = A;Intersection(LineOf(A, F), G) = {A,B};B: Point;VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 1576,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1577,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1578,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1579,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1579.png",
+      "answer": "(6*sqrt(5)/5,2)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/5 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);Quadrant(P)=1;Area(TriangleOf(P, F1, F2)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1580,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1580.png",
+      "answer": "{(-oo,-2*sqrt(3)/3),(2*sqrt(3)/3,+oo)}",
+      "fact_expr": "G: Hyperbola;H: Line;k:Number;Expression(G) = (x^2 - y^2 = 4);Expression(H) = (y=k*(x-1));NumIntersection(G,H)=0",
+      "coords": {}
+    },
+    {
+      "index": 1581,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1581.png",
+      "answer": "x^2/3+y^2/2=1",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;F1: Point;B: Point;F2: Point;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C)=sqrt(3)/3;PointOnCurve(F2, l);Intersection(l,C)={A,B};Perimeter(TriangleOf(A,F1,B)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1582,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1582.png",
+      "answer": "(0,1/4)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2)",
+      "coords": {}
+    },
+    {
+      "index": 1583,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1583.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Circle;Expression(G) = (x^2 + y^2 = a^2);L1: Line;L2: Line;A: Point;B: Point;TangentOfPoint(OneOf(Focus(C)), G) = {L1, L2};TangentPoint(L1, G) = A;TangentPoint(L2, G) = B;O: Origin;AngleOf(A, O, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1584,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1585,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1585.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1586,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1586.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;O: Origin;Z: Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightVertex(C), Z);IsPerpendicular(Z, xAxis);Intersection(Z, OneOf(Asymptote(C))) = A;Center(G) = RightFocus(C);Radius(G) = 2;PointOnCurve(A, G);PointOnCurve(O, G)",
+      "coords": {}
+    },
+    {
+      "index": 1587,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1587.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;C: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, l);Intersection(l,G)={A,B};Intersection(l,Directrix(G))=C;VectorOf(A, F) = (3/2)*VectorOf(B, C)",
+      "coords": {}
+    },
+    {
+      "index": 1588,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1588.png",
+      "answer": "2*sqrt(15)",
+      "fact_expr": "G: Parabola;H: Line;k: Number;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x - 2);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A,B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1589,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1589.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A: Point;B: Point;PointOnCurve(F,LineSegmentOf(A,B)) = True;IsChordOf(LineSegmentOf(A,B),C) = True;VectorOf(F,A) + VectorOf(F,B) = 0;G: Circle;IsDiameter(LineSegmentOf(A,B),G) = True;PointOnCurve(LeftVertex(C),G) = True",
+      "coords": {}
+    },
+    {
+      "index": 1590,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1590.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;H:Parabola;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);PointOnCurve(LeftFocus(G),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 1591,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1591.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;M: Point;O: Origin;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;PointOnCurve(P, G);Negation(P=Vertex(G));MidPoint(LineSegmentOf(P, F1)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1592,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1593,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1593.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;M: Point;N: Point;Focus(C) = F;PointOnCurve(M, C);Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;MidPoint(LineSegmentOf(F, N)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1594,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1594.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/12 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1595,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1595.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;H: Ellipse;Expression(H) = (x^2 + 2*y^2 = 8);Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 1596,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1596.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;L: Line;PointOnCurve(F, L);Inclination(L) = ApplyUnit(60, degree);Intersection(L, G) = {A, B};A: Point;B: Point;C1: Circle;IsDiameter(LineSegmentOf(A, F), C1) = True;C2: Circle;IsDiameter(LineSegmentOf(B, F), C2) = True;TangentPoint(C1, yAxis) = M;TangentPoint(C2, yAxis) = N;M: Point;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 1597,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1597.png",
+      "answer": "[\\sqrt{2}-1, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;e: Number;Eccentricity(G) = e;P: Point;PointOnCurve(P, G);LineSegmentOf(P, F1)/LineSegmentOf(P, F2) = e",
+      "coords": {}
+    },
+    {
+      "index": 1598,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1598.png",
+      "answer": "10",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;A: Point;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (-2, 2);Focus(C)=F;PointOnCurve(F, l);Intersection(l, C) = {A, B};PointOnCurve(M,Directrix(C));DotProduct(VectorOf(M,A),VectorOf(M,B))=0",
+      "coords": {
+        "M": [
+          -2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1599,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1599.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;a: Number;Expression(G) = (y^2/20 + x^2/a^2 = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1600.png",
+      "answer": "4*x+y-3=0",
+      "fact_expr": "I: Point;Coordinate(I) = (1, -1);G: Parabola;Expression(G) = (y^2 = 8*x);L: LineSegment;MidPoint(L) = I;IsChordOf(L, G)",
+      "coords": {
+        "I": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1601,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1601.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};P: Point;PointOnCurve(P,G) = True;AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1602,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1603,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1604,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1604.png",
+      "answer": "y^2/3 - x^2 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Coordinate(P) = (1, sqrt(3));FocalLength(C) = 4;PointOnCurve(P, Asymptote(C))",
+      "coords": {
+        "P": [
+          1.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 1605,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1605.png",
+      "answer": "0",
+      "fact_expr": "F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y = x^2/4);l: Line;PointOnCurve(F, l);Inclination(l) = ApplyUnit(150, degree);A: Point;B: Point;Intersection(l, G) = {A, B};l1: Line;l2: Line;TangentOnPoint(A, G) = l1;TangentOnPoint(B, G) = l2;C: Point;Intersection(l1, l2) = C",
+      "coords": {}
+    },
+    {
+      "index": 1606,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1606.png",
+      "answer": "1/2",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;l: Line;PointOnCurve(F1,l) = True;Intersection(l,LeftPart(G)) = A;A: Point;B: Point;LineSegmentOf(A, F1) = 2*a;AngleOf(F1,A,F2) = 2*pi/3;Intersection(l,RightPart(G)) = B",
+      "coords": {}
+    },
+    {
+      "index": 1607,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1608,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1608.png",
+      "answer": "(2,2)",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(M) = (3, 2);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, F)) + Abs(LineSegmentOf(P, M)))",
+      "coords": {
+        "M": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1609,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1610,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1610.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2/12 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1611,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.23606797749979
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1611.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "C: Hyperbola;O: Origin;Center(C) = O;SymmetryAxis(C) = axis;O1: Circle;Expression(O1) = (x^2 + y^2 = 5);P: Point;Intersection(C, O1) = P;Coordinate(P) = (2, -1);IsParallel(TangentOnPoint(P, O1), OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 1612,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1612.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Q: Point;F: Point;O:Origin;Expression(G) = (y^2 = 5*x);PointOnCurve(Q, G);Focus(G) = F;Distance(Q, F) = 25/4",
+      "coords": {}
+    },
+    {
+      "index": 1613,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1613.png",
+      "answer": "4*x - 3*y - 11 = 0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P: Point;Expression(G) = (x^2/12 + y^2/8 = 1);Coordinate(P) = (2, -1);IsChordOf(H, G);MidPoint(H) = P",
+      "coords": {
+        "P": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1614,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_1614.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Eccentricity(G) = sqrt(3);OneOf(Directrix(G))=Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 1615,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1615.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;t:Number;P: Point;O: Origin;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (t, sqrt(3)*t);PointOnCurve(P, C);LeftFocus(C) = F1;RightFocus(C) = F2;Abs(LineSegmentOf(O,P))=(sqrt(14)/7)*Abs(LineSegmentOf(F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 1616,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1616.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {A,B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 1617,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_1617.png",
+      "answer": "x^2/5 - y^2/10 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-10*x + x^2 + y^2 = 0);OneOf(Focus(G))=Center(H);Eccentricity(G)=sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1618,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1618.png",
+      "answer": "[3,15]",
+      "fact_expr": "G: Ellipse;C: Circle;A: Point;B: Point;P: Point;Expression(G) = (x^2/9 + y^2/8 = 1);Expression(C) = (y^2 + (x - 1)^2 = 1);PointOnCurve(P, G);IsDiameter(LineSegmentOf(A,B),C)",
+      "coords": {}
+    },
+    {
+      "index": 1619,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1620,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1620.png",
+      "answer": "24",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/24 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);3*Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1621,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1622,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1622.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);AngleOf(P, F1, F2) = pi/6;AngleOf(P, F2, F1) = pi/3;Eccentricity(G) = e;e: Number",
+      "coords": {}
+    },
+    {
+      "index": 1623,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_1623.png",
+      "answer": "5*x^2-(5/4)*y^2=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);OneOf(Focus(G)) = Focus(H);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1624,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1624.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "E: Curve;A: Point;P: Point;Expression(E) = (y^2 = 4*x);Coordinate(A) = (-1, 2);PointOnCurve(P, E);l: Line;Expression(l) = (x = -1)",
+      "coords": {
+        "A": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1625,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1625.png",
+      "answer": "(1,2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y = 2*x^2);Expression(H) = (y = 4*x - 5);PointOnCurve(P, G);WhenMin(Distance(P,H))",
+      "coords": {}
+    },
+    {
+      "index": 1626,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1626.png",
+      "answer": "2*x-y+4=0",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/3 + y^2/12 = 1);G: LineSegment;IsChordOf(G, C) = True;P: Point;Coordinate(P) = (-1, 2);PointOnCurve(P, G) = True;MidPoint(G) = P",
+      "coords": {
+        "P": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1627,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1627.png",
+      "answer": "14",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};x1 + x2 = 12",
+      "coords": {}
+    },
+    {
+      "index": 1628,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1628.png",
+      "answer": "1/4",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;a>b;b>0;F1: Point;F2: Point;B1: Point;B2: Point;A: Point;D: Point;Expression(C) = (x^2/a^2+y^2/b^2=1);LeftFocus(C)=F1;RightFocus(C)=F2;UpperVertex(C)=B1;LowerVertex(C)=B2;RightVertex(C)=A;Intersection(LineOf(A,B1), LineOf(B2,F1)) = D;2*Abs(LineSegmentOf(A,B1)) = 3*Abs(LineSegmentOf(B1,D))",
+      "coords": {}
+    },
+    {
+      "index": 1629,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1629.png",
+      "answer": "x + pm*sqrt(2)*y = 0",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Distance(Focus(C), OneOf(Asymptote(C))) = sqrt(2)*a",
+      "coords": {}
+    },
+    {
+      "index": 1630,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1630.png",
+      "answer": "9",
+      "fact_expr": "l: Line;E: Parabola;C: Point;F: Point;A: Point;B: Point;Expression(E) = (x^2 = 8*y);Focus(E) = F;PointOnCurve(F, l);Intersection(l, E) = {A, B};Intersection(l,xAxis)=C;MidPoint(LineSegmentOf(C,F)) = A",
+      "coords": {}
+    },
+    {
+      "index": 1631,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1631.png",
+      "answer": "{0, 1/2}",
+      "fact_expr": "G: Line;k: Real;H: Curve;Expression(G) = (y = k*x + 1);Expression(H) = (y^2 = 2*x);NumIntersection(G, H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1632,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1632.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, B)) = 6;M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1633,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1633.png",
+      "answer": "(x^2+3*y^2=1)&Negation(y=0)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);I: Point;Incenter(TriangleOf(P, F1, F2)) = I",
+      "coords": {}
+    },
+    {
+      "index": 1634,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1635,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1636,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1636.png",
+      "answer": "10/3",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;F: Point;B: Point;l1: Line;l2: Line;Expression(G) = (x^2/9 - y^2/16 = 1);RightVertex(G) = A;RightFocus(G) = F;PointOnCurve(F, H);IsParallel(H, l1);Intersection(H, l2) = B;OneOf(Asymptote(G))=L1;OneOf(Asymptote(G))=L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 1637,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1637.png",
+      "answer": "2+sqrt(5)",
+      "fact_expr": "C1: Hyperbola;C2: Parabola;M: Point;F1: Point;F2: Point;x0:Number;y0:Number;p:Number;p>0;a:Number;b:Number;a>0;b>0;Expression(C1)=(-y^2/b^2 + x^2/a^2 = 1);Expression(C2)=(y^2=2*p*x);Coordinate(M) = (x0, y0);LeftFocus(C1) =F1;RightFocus(C1)=F2;Quadrant(M)=1;PointOnCurve(M,Asymptote(C1));IsPerpendicular(LineSegmentOf(M, F1), LineSegmentOf(M, F2));Focus(C2)=F2;PointOnCurve(M,C2)",
+      "coords": {}
+    },
+    {
+      "index": 1638,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1638.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;F: Point;O: Origin;Expression(G) = (y^2 = 6*x);PointOnCurve(M, G);Focus(G) = F;AngleOf(M, F, O) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1639,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1639.png",
+      "answer": "4*x - y - 15 = 0",
+      "fact_expr": "Q: Point;Coordinate(Q) = (4, 1);G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Q, LineSegmentOf(A, B)) ;MidPoint(LineSegmentOf(A,B)) = Q",
+      "coords": {
+        "Q": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1640,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1640.png",
+      "answer": "0",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 10;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 1641,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1642,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1642.png",
+      "answer": "{sqrt(10)/10, 3*sqrt(10)/10}",
+      "fact_expr": "G: Parabola;b: Number;H: Ellipse;a: Number;F1: Point;M: Point;F2: Point;Expression(G) = (y^2 = 4*(b*x));a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(H) = F1;RightFocus(H) = F2;Focus(G) = M;Abs(LineSegmentOf(F1, M)) = 2*Abs(LineSegmentOf(F2, M))",
+      "coords": {}
+    },
+    {
+      "index": 1643,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1643.png",
+      "answer": "y=pm*x\nsqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1644,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1644.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;C: Circle;r: Number;P: Point;Expression(G) = (y = x^2/4);r>0;Expression(C) = ((x - 1)^2 + (y - 2)^2 = r^2);Intersection(C,G)=P;IsTangent(TangentOnPoint(P,G),C)",
+      "coords": {}
+    },
+    {
+      "index": 1645,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1645.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1646,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1646.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 1/2);H: Circle;Expression(H) = (x^2 + y^2 = 1);L1: Line;L2: Line;A: Point;B: Point;TangentOfPoint(P, H) = {L1, L2};TangentPoint(L1, H) = A;TangentPoint(L2, H) = B;G: Ellipse;Expression(G)=(y^2/b^2+x^2/a^2=1);b: Number;a: Number;a>b;b>0;PointOnCurve(Focus(G), LineOf(A, B));PointOnCurve(UpperVertex(G), LineOf(A, B))",
+      "coords": {
+        "P": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 1647,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1648,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_1648.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (y = sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1649.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A: Point;RightVertex(C) = A;B: Point;PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(B, F), xAxis);Slope(LineSegmentOf(A, B)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1650,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1650.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(G) = 2*sqrt(5);2*Length(ImageinaryAxis(G)) = Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 1651,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1651.png",
+      "answer": "(x-2)^2+y^2=10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);Center(H) = Focus(G);H: Circle;L: Line;Expression(L) = (3*x - y + 4 = 0);IsTangent(L,H)",
+      "coords": {}
+    },
+    {
+      "index": 1652,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.552875593585339,
+        "b": 2.3303634978370953,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3057248743840209e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/train/hyperbola/problem_1652.png",
+      "answer": "{sqrt(13)/2,sqrt(13)/3}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(3/2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 1653,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1653.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "O: Origin;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G);Slope(G) = sqrt(3)/3;P: Point;Intersection(G, C) = P;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1654,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1654.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;C: Ellipse;A: Point;B: Point;O:Origin;Expression(C) = (x^2/4 + y^2/3 = 1);Vertex(G)=O;LeftDirectrix(C)=Directrix(G);Intersection(RightDirectrix(C),G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 1655,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1656,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1656.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;A: Point;B: Point;P: Point;a: Number;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y^2 + (x - 1)^2 = 1);Coordinate(P) = (1, a);a > 1;PointOnCurve(P, G);l1: Line;l2: Line;TangentOfPoint(P, H) = {l1, l2};Intersection(l1, G) = A;Intersection(l2, G) = B;Slope(LineOf(A, B)) = -1",
+      "coords": {}
+    },
+    {
+      "index": 1657,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1657.png",
+      "answer": "x = -1/2\n2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;M: Point;Coordinate(M) = (x0, y0);x0: Number;y0: Number;PointOnCurve(M, G);Abs(LineSegmentOf(M, F)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 1658,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1658.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y - 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 1659,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1659.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;O: Origin;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b + x^2/a = 1);RightFocus(G) = F;UpperVertex(G) = B;Abs(LineSegmentOf(O, B)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 1660,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1661,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1661.png",
+      "answer": "y=4*x^2-12*x+9",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;M:Point;Expression(G) = (y = 2*x^2);Coordinate(Q) = (3, 0);PointOnCurve(P, G);MidPoint(LineSegmentOf(P,Q))=M",
+      "coords": {
+        "Q": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1662,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1662.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y = 2*x^2);Coordinate(A) = (1, 3);PointOnCurve(P, G);WhenMin(Distance(P, A) + Distance(P, Focus(G)))",
+      "coords": {
+        "A": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 1663,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1663.png",
+      "answer": "sqrt(21)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (2*x - sqrt(3)*y = 0);OneOf(Asymptote(G))=H",
+      "coords": {}
+    },
+    {
+      "index": 1664,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1665,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1665.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;l: Line;G:Line;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;OneOf(Asymptote(C)) = l;PointOnCurve(F2, G);IsParallel(l, G);Intersection(G, C) = M;Abs(LineSegmentOf(M, F1)) = 2*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1666,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1666.png",
+      "answer": "(0,2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 1667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1667.png",
+      "answer": "sqrt(6)/2; y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/8 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1668,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1668.png",
+      "answer": "2",
+      "fact_expr": "M: Point;N: Point;Coordinate(N)=(2,0);G:Curve;Expression(G)=(y^2 = 8*x);PointOnCurve(M,G)",
+      "coords": {
+        "N": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1669,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1669.png",
+      "answer": "(1,\\sqrt{2})",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 1);k: Number;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);P1: Point;P2: Point;Intersection(H,RightPart(G)) = {P1,P2};Negation(P1=P2)",
+      "coords": {}
+    },
+    {
+      "index": 1670,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1670.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (x^2 = 4*y);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Negation(A = B)",
+      "coords": {}
+    },
+    {
+      "index": 1671,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1672,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1673,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1673.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2:Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);OneOf(Focus(G)) = F1;OneOf(Focus(G))=F2;Distance(P, F1) = 6;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 1674,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1674.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;c: Number;I: Circle;F: Point;E: Point;O: Origin;P: Point;l1:Line;b > a;a > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*(c*x));Expression(I) = (x^2 + y^2 = a^2);Coordinate(F) = (-c, 0);LeftFocus(G) = F;TangentOfPoint(F, I) =l1;TangentPoint(l1,I)=E;Intersection(OverlappingLine(LineSegmentOf(F,E)), H) =P;VectorOf(O, E) = (VectorOf(O, F) + VectorOf(O, P))/2;c>0",
+      "coords": {}
+    },
+    {
+      "index": 1675,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0707900524139404,
+        "b": 1.5409371596115455,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.1717604031648706e-06,
+        "converged": true,
+        "iterations": 78
+      },
+      "output_path": "results/train/ellipse/problem_1675.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 + y^2/m = 1);PointOnCurve(Focus(G), yAxis);Eccentricity(G)=2/3",
+      "coords": {}
+    },
+    {
+      "index": 1676,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_1676.png",
+      "answer": "x^2/8 - y^2/8 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (0, 4);LeftFocus(G) = F;Eccentricity(G) = sqrt(2);PointOnCurve(F, H);PointOnCurve(P, H);IsParallel(H, OneOf(Asymptote(G)))",
+      "coords": {
+        "P": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1677,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1678,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1678.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C2:Hyperbola;C1:Parabola;A: Point;B: Point;C: Point;D: Point;p:Number;p>0;a:Number;b:Number;a>0;b>0;L1:Line;L2:Line;O:Origin;Expression(C1)=(y^2=2*p*x);Expression(C2)=(x^2/a^2-y^2/b^2=1);Intersection(C1,C2)={A,B};Asymptote(C2)={L1,L2};Intersection(C1,L1)=C;Intersection(C1,L2)=D;Negation(O=C);Negation(O=D);PointOnCurve(Focus(C2),LineSegmentOf(A,B));PointOnCurve(Focus(C1),LineSegmentOf(C,D))",
+      "coords": {}
+    },
+    {
+      "index": 1679,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1679.png",
+      "answer": "x^2=sqrt(2)*y",
+      "fact_expr": "C1: Parabola;Expression(C1) = (y^2 = 4*x);C2: Parabola;Expression(C2) = (x^2 = 2*p*y);p: Number;p>0;O: Origin;A: Point;Negation(A=O);Intersection(C1, C2) = A;Distance(A, Focus(C1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1680,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1681,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1682,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1682.png",
+      "answer": "(2*sqrt(3)+sqrt(6))/6",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;H: Line;Expression(H) = (x - sqrt(2)*y + 4 = 0);PointOnCurve(P, H)",
+      "coords": {}
+    },
+    {
+      "index": 1683,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1683.png",
+      "answer": "x^2 = -8*y",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;m: Number;Coordinate(M) = (m, -2);Vertex(G) = O;PointOnCurve(Focus(G), yAxis);PointOnCurve(M, G);Distance(M, Focus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1684,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1684.png",
+      "answer": "12+8*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x);F: Point;Focus(G) = F;PointOnCurve(F, L) = True;Intersection(L, G) = {A, B};L: Line;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1685,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1685.png",
+      "answer": "{21/8, 51/8}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;PointOnCurve(A, G);H: Line;Expression(H) = (3*x + 4*y + 12 = 0);Min(Distance(A, H)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1686,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1687,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1687.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;H: Line;Expression(H) = (y = sqrt(3)*x);Distance(F, H) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 1688,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1688.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G)=(y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree);R:Number;r:Number;Radius(CircumCircle(TriangleOf(P,F1,F2)))=R;Radius(InscribedCircle(TriangleOf(P,F1,F2)))=r;R = 3*r;a: Number;b: Number;a>0;b>0",
+      "coords": {}
+    },
+    {
+      "index": 1689,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1689.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;a>0;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Coordinate(H) = (1, a);PointOnCurve(H, OneOf(Asymptote(G)))",
+      "coords": {}
+    },
+    {
+      "index": 1690,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1690.png",
+      "answer": "x^2/6+y^2/2=1",
+      "fact_expr": "F: Point;RightFocus(C) = F;Coordinate(F) = (2, 0);C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;l: Line;m: Number;Expression(l) = (y = m - x/3);A: Point;B: Point;Intersection(l, C) = {A, B};P: Point;MidPoint(LineSegmentOf(A, B)) = P;O: Origin;k: Number;Slope(LineOf(O, P)) = k;k = 1",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1691,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1692,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1693,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1693.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;H: Ellipse;m: Number;Expression(G) = (y^2 = 8*x);Expression(H) = (y^2/3 + x^2/m = 1);PointOnCurve(OneOf(Focus(H)), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 1694,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1695,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1696,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1696.png",
+      "answer": "(-\\infty,-1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);F1: Point;LeftFocus(G) = F1;F2: Point;RightFocus(G) = F2;PointOnCurve(F2, H);OneOf(Intersection(H,G)) = M;Inclination(H) = ApplyUnit(120, degree);IsPerpendicular(LineSegmentOf(M,F1),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1697,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1697.png",
+      "answer": "x=-4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x)",
+      "coords": {}
+    },
+    {
+      "index": 1698,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1698.png",
+      "answer": "4",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Real;G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1699,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1699.png",
+      "answer": "{0, -1, 1/2}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;M: Point;Coordinate(M) = (-2, 1);PointOnCurve(M, l);k: Number;Slope(l) = k;NumIntersection(l, G) = 1",
+      "coords": {
+        "M": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1700,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1701,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1701.png",
+      "answer": "18",
+      "fact_expr": "F: Point;G: Parabola;Expression(G) = (y^2 = 12*x);Focus(G) = F;A: Point;B: Point;C: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;PointOnCurve(C, G) = True;VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1702,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1703,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1703.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);G: Circle;P: Point;Q: Point;F: Point;l:Line;Focus(C) = F;Negation(P=Q);PointOnCurve(P,l);TangentPoint(l,C)=Q;IsDiameter(LineSegmentOf(P,Q),G);PointOnCurve(F,G)",
+      "coords": {}
+    },
+    {
+      "index": 1704,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1704.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);Expression(H) = (x - 2*y + 2 = 0);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(OneOf(Vertex(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 1705,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1706,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1706.png",
+      "answer": "(-4,4*\\sqrt{3})",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (y^2 = -12*x);Focus(G) = F;Abs(LineSegmentOf(M, F)) = 7;PointOnCurve(M,G);Quadrant(M)=2",
+      "coords": {}
+    },
+    {
+      "index": 1707,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1707.png",
+      "answer": "1/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Intersection(OverlappingLine(LineSegmentOf(F, B)), Directrix(G)) = C;Abs(LineSegmentOf(B, C)) = 2*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 1708,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1708.png",
+      "answer": "1",
+      "fact_expr": "l: Line;Expression(l) = (y = x - 1);G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;A: Point;B: Point;p>0;Intersection(l, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2;IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 1709,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1709.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B,G);VectorOf(A, F) = 3*VectorOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 1710,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1710.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(OneOf(Focus(C))) = (sqrt(3), 0);Eccentricity(C)=sqrt(3)/2;a: Number;b: Number",
+      "coords": {}
+    },
+    {
+      "index": 1711,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1712,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1712.png",
+      "answer": "18",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B:Point;F: Point;p>0;y1:Number;y2:Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (2, y1);Coordinate(B) = (1/2, y2);Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);Quadrant(A)=1;Quadrant(B)=4;Abs(LineSegmentOf(A, F)) = 20",
+      "coords": {}
+    },
+    {
+      "index": 1713,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1713.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;G: Hyperbola;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1);m: Number;n: Number;m>0;n>0;F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P;AngleOf(F1, P, F2) = (2/3)*pi;WhenMin(Eccentricity(H)*Eccentricity(G))",
+      "coords": {}
+    },
+    {
+      "index": 1714,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1715,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1716,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1717,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1717.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1);F: Point;RightFocus(G) = F;H: Line;PointOnCurve(F, H);IsParallel(H, OneOf(Asymptote(G))) ;Intersection(H, G) = P;P: Point;M: Point;PointOnCurve(M, LineOf(P, F)) ;DotProduct(VectorOf(O, M), VectorOf(P, F)) = 0;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1718,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1718.png",
+      "answer": "y=pm*x/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(C) = F2;F2: Point;L: Line;PointOnCurve(F2, L) = True;IsPerpendicular(L, OneOf(Asymptote(C))) = True;FootPoint(L, OneOf(Asymptote(C))) = P;P: Point;Intersection(L, C) = A;A: Point;VectorOf(F2, P) = 3*VectorOf(F2, A)",
+      "coords": {}
+    },
+    {
+      "index": 1719,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1719.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;M: Point;A: Point;B: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (1, 0);Directrix(C) = l;PointOnCurve(M, G);Slope(G) = sqrt(3);Intersection(G, l) = A;OneOf(Intersection(G, C)) = B;VectorOf(A, M) = VectorOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1720,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1720.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F: Point;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(G)=A;RightFocus(G)=F;PointOnCurve(P,RightPart(G));AngleOf(P,F,A)=2*AngleOf(P,A,F)",
+      "coords": {}
+    },
+    {
+      "index": 1721,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1721.png",
+      "answer": "[\\sqrt{2} - 1, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);c*VectorOf(P, F2) = a*VectorOf(P, F1)",
+      "coords": {}
+    },
+    {
+      "index": 1722,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1723,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1723.png",
+      "answer": "1/16",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2);P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1724,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1724.png",
+      "answer": "(\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);D:Circle;b: Number;a: Number;F: Point;a > b;b > 0;c:Number;Coordinate(F) = (-c, 0);LeftFocus(G) = F;Center(D)=F;Radius(D)=c;NumIntersection(H,LeftDirectrix(G))=2",
+      "coords": {}
+    },
+    {
+      "index": 1725,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1725.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;I: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2)) = I;Area(TriangleOf(I, P, F1)) = (sqrt(6)/3)*Area(TriangleOf(I, F1, F2)) + Area(TriangleOf(I, P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1726,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1727,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1727.png",
+      "answer": "(-2, -1)",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/4 + y^2/3 = 1);H: Point;Coordinate(H) = (2, 0);OneOf(Vertex(E)) = H;P: Point;PointOnCurve(P, xAxis) ;Coordinate(P) = (t, 0);t: Real;M: Point;PointOnCurve(M, E);IsPerpendicular(LineSegmentOf(M, P), LineSegmentOf(M, H))",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1728,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 12.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1728.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/25 - y^2/144 = 1);PointOnCurve(P,LeftPart(G));Distance(P, LeftFocus(G)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 1729,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1729.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;M: Point;B: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (0, 2);Focus(G) = F;Intersection(LineSegmentOf(F, A), G) = B;Directrix(G) = l;l1: Line;PointOnCurve(B, l1);IsPerpendicular(l1, l);FootPoint(l1, l) = M;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(M, F));S: Number;Area(TriangleOf(A, F, M)) = S",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1730,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1730.png",
+      "answer": "y^2=2*(x-1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;PointOnCurve(F,l) = True;l: Line;Intersection(l,G) = {A,B};A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G) = True",
+      "coords": {}
+    },
+    {
+      "index": 1731,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1732,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1732.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;G: Line;Expression(G) = (y = sqrt(3)*x);A: Point;B: Point;Intersection(G, C) = {A, B};O: Origin;N: Point;M: Point;MidPoint(LineSegmentOf(A,F)) = M;MidPoint(LineSegmentOf(B,F)) = N;DotProduct(VectorOf(O,M),VectorOf(O,N)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1733,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1733.png",
+      "answer": "(-\\infty,-4)+(-4,0)",
+      "fact_expr": "G: Ellipse;k: Real;Expression(G)=(x^2/4 - y^2/k = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1734,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_1734.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;lambda: Number;Expression(G) = (x^2 - y^2/lambda = 1);lambda>0;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 1735,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1736,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1737,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1737.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;A: Point;B: Point;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);PointOnCurve(P,G);PointOnCurve(P,H);IsParallel(xAxis,H);DotProduct(VectorOf(P, A), VectorOf(P, B)) = -a^2/4;L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H,L1)=A;Intersection(H,L2)=B",
+      "coords": {}
+    },
+    {
+      "index": 1738,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1738.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;x0: Number;Coordinate(A) = (x0, -3);PointOnCurve(A, G);Distance(A, Focus(G)) = 2*Distance(A, yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1739,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1739.png",
+      "answer": "sqrt(65)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;A: Point;F2: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(A, RightPart(G));Intersection(LineSegmentOf(A,F1),LeftPart(G))=B;IsPerpendicular(LineSegmentOf(A, F2), LineSegmentOf(B, F2));Abs(LineSegmentOf(B, F1)) = Abs(LineSegmentOf(A, F2))/3",
+      "coords": {}
+    },
+    {
+      "index": 1740,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1740.png",
+      "answer": "sqrt(15)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F2: Point;N: Point;F1: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;L:Line;PointOnCurve(F1, L);IsPerpendicular(L,xAxis);Intersection(L, C) = {M, N};Cos(AngleOf(M, F2, N)) = 7/8",
+      "coords": {}
+    },
+    {
+      "index": 1741,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1741.png",
+      "answer": "x^2/16+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(3)/2;Length(MinorAxis(G))=4",
+      "coords": {}
+    },
+    {
+      "index": 1742,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1742.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Line;H: Curve;Expression(G) = (y = x);Expression(H) = (2*x^2 + y^2 = 2)",
+      "coords": {}
+    },
+    {
+      "index": 1743,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1744,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1744.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "Gamma: Ellipse;C: Circle;O: Origin;M: Point;N: Point;l:Ray;Expression(Gamma)=(x^2/2 + y^2 = 1);Expression(C) = ((x - 1)^2 + (y - 1)^2 = 2);PointOnCurve(O, l);Intersection(l,C)=M;Intersection(l,Gamma)=N;Negation(M=O)",
+      "coords": {}
+    },
+    {
+      "index": 1745,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1745.png",
+      "answer": "[10,+\\infty)",
+      "fact_expr": "C: Parabola;p: Real;G: Line;A: Point;M: Point;B: Point;p>0;Expression(C) = (y^2 = 2*p*x);Expression(G) = (3*x + 4*y + 25 = 0);Focus(C) = A;Intersection(Directrix(C), xAxis) = B;PointOnCurve(M, G);AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1746.png",
+      "answer": "(1, \\sqrt{5}]",
+      "fact_expr": "H: Line;Expression(H) = (y = 2*x);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;NumIntersection(H, G) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1747,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1747.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y);H: Line;PointOnCurve(Focus(G), H) = True;A: Point;B: Point;Intersection(H, G) = {A, B};YCoordinate(MidPoint(LineSegmentOf(A,B))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1748,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1748.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Circle;P: Point;F2: Point;F1: Point;G: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,RightPart(C));Expression(H) = (x^2 + y^2 = b^2);TangentPoint(LineSegmentOf(P, F2), H) = G;MidPoint(LineSegmentOf(P, F2)) = G;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 1749,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1749.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, l);Q: Point;OneOf(Intersection(LineOf(P, F), C)) = Q;O: Origin;VectorOf(F, P) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 1750,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1750.png",
+      "answer": "3",
+      "fact_expr": "l: Line;E: Parabola;p: Number;B: Point;F: Point;A: Point;p>0;Expression(E) = (y^2 = 2*p*x);Focus(E) = F;PointOnCurve(F, l);Slope(l) = sqrt(3);Intersection(l, E) = {A, B};Abs(Abs(LineSegmentOf(A,F))-Abs(LineSegmentOf(B,F)))=4",
+      "coords": {}
+    },
+    {
+      "index": 1751,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1752,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1752.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;A: Point;F1: Point;B: Point;F2: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F1, G);Intersection(G, E) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(B, F1));Cos(AngleOf(A, F2, B)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 1753,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_1753.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (-y^2/3 + x^2/m = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1754,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1754.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1755,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1755.png",
+      "answer": "(0, 1/16)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 1756,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1757,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1757.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;Expression(l) = (y=4*x+m);m: Number;Intersection(l, C) = {A, B};PointOnCurve(Focus(C), l) = True;A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 17/4",
+      "coords": {}
+    },
+    {
+      "index": 1758,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1758.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Circle;Expression(H) = (y^2 + (x - 2)^2 = 3);IsTangent(Asymptote(G), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 1759,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1759.png",
+      "answer": "(0,pm*3)",
+      "fact_expr": "H: ConicSection;Expression(H) = (x^2 + y^2/10 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1760,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1760.png",
+      "answer": "sqrt(3) + sqrt(6)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/6 + y^2/3 = 1);F: Point;LeftFocus(G) = F;PointOnCurve(A, G) = True;Negation(A = Vertex(G));A: Point;O: Origin;MidPoint(LineSegmentOf(A, F)) = B;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1761,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1761.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 1762,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1762.png",
+      "answer": "(\\sqrt{5}/5, 3/5)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;c: Number;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = (b/2 + c)^2);Eccentricity(G) = e;HalfFocalLength(G)=c;NumIntersection(G,H)=4",
+      "coords": {}
+    },
+    {
+      "index": 1763,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1763.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "l: Line;E: Hyperbola;b: Number;a: Number;F2: Point;Q: Point;P: Point;F1: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F1, l);Intersection(l, LeftPart(E)) = {P, Q};Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(F1, Q));IsPerpendicular(LineSegmentOf(F2, Q), LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 1764,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1765,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1765.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Line;Expression(H) = (x - y + 3 = 0);IsParallel(OneOf(Asymptote(G)),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 1766,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1767,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1767.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);AngleOf(F1, P, F2) = pi/2;Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 1768,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1768.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;H: Line;Expression(H) = (y = x);M: Point;N: Point;Intersection(G, H) = {M, N};P: Point;PointOnCurve(P, G);Slope(LineOf(M, P))*Slope(LineOf(N, P)) = -4/9",
+      "coords": {}
+    },
+    {
+      "index": 1769,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1769.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;c: Number;FocalLength(C) = 2*c;G: Line;Expression(G) = (y = -sqrt(3)*(-c + x));P: Point;OneOf(Intersection(G, C)) = P;AngleOf(P, F2, F1) = 2*AngleOf(P, F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1770,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1771,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1771.png",
+      "answer": "y = pm*sqrt(2)/2*x",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a > 0;b > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);VectorOf(A, O) = 1/2*VectorOf(A, B);O: Origin;M: Point;PointOnCurve(M, C);Negation(M = A);Negation(M = B);Slope(LineOf(M, A)) * Slope(LineOf(M, B)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 1772,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1773,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1773.png",
+      "answer": "9",
+      "fact_expr": "l: Line;G: Hyperbola;Expression(G) = (-y^2/7 + x^2/m = 1);m: Number;A: Point;B: Point;F2: Point;F1: Point;LeftFocus(G)=F1;PointOnCurve(F1,l);Intersection(l,LeftPart(G))={A,B};Abs(LineSegmentOf(A, B)) = 4;Perimeter(TriangleOf(A, B, F2)) = 20;RightFocus(G)=F2",
+      "coords": {}
+    },
+    {
+      "index": 1774,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1774.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);P: Point;PointOnCurve(P, G);l1: Line;l2: Line;Z1: Line;Z2: Line;Asymptote(G) = {Z1, Z2};PointOnCurve(P, l1);PointOnCurve(P, l2);IsParallel(Z1, l1);IsParallel(Z2, l2);M: Point;N: Point;Intersection(l1, xAxis) = M;Intersection(l2, xAxis) = N;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 1775,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1775.png",
+      "answer": "x^2+3*y^2/2=1",
+      "fact_expr": "E: Ellipse;G: Line;A: Point;F1: Point;B: Point;F2: Point;b:Number;0<b;b<1;Expression(E)=(x^2+y^2/b^2=1);LeftFocus(E)=F1;RightFocus(E)=F2;PointOnCurve(F1, G);Intersection(G, E) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(F1, B));IsPerpendicular(LineSegmentOf(A,F2),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 1776,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1776.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Slope(H) = 2*sqrt(2);Intersection(H, G) = {A, B};Quadrant(A)=1",
+      "coords": {}
+    },
+    {
+      "index": 1777,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1778,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1778.png",
+      "answer": "24/7",
+      "fact_expr": "l: Line;G: Ellipse;a: Number;C: Point;D: Point;F: Point;a>0;Expression(G) = (y^2/3 + x^2/a^2 = 1);Coordinate(F) = (-1, 0);OneOf(Focus(G)) = F;PointOnCurve(F, l);Slope(l) = 1;Intersection(l, G) = {C, D}",
+      "coords": {
+        "F": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1779,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1780,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1780.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;d1:Number;d2:Number;Expression(G) = (y^2 = -8*x);Expression(H) = (x + y - 10 = 0);PointOnCurve(P, G);Distance(P,Directrix(G)) = d1;Distance(P,H)=d2",
+      "coords": {}
+    },
+    {
+      "index": 1781,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1781.png",
+      "answer": "(0,4)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);m: Real",
+      "coords": {}
+    },
+    {
+      "index": 1782,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1782.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;O:Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(O,l);Inclination(l)=pi/3;Intersection(l,LeftPart(C))=A;Intersection(l,RightPart(C))=B;DotProduct(VectorOf(A, F), VectorOf(B, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1783,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1783.png",
+      "answer": "y+pm*sqrt(3)*x=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(G) = F;A: Point;RightVertex(G) = A;H: Line;Expression(H) = (x = a);Intersection(H, OneOf(Asymptote(G))) = B;B: Point;AngleOf(B, F, A) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1784,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1784.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Distance(RightFocus(G), Asymptote(G)) = (1/2)*Distance(RightFocus(G), LeftVertex(G));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1785,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1785.png",
+      "answer": "8/13",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 4*x);Expression(l)=(5*x+12*y+3=0)",
+      "coords": {}
+    },
+    {
+      "index": 1786,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1786.png",
+      "answer": "sqrt(17)/2",
+      "fact_expr": "G: Parabola;H: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(H) = (0, 2);PointOnCurve(P, G)",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1787,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1788,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1788.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;A: Point;F2: Point;O: Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A,G);IsPerpendicular(LineSegmentOf(A, F2), LineSegmentOf(F1, F2));Distance(O, LineOf(A,F1)) = Abs(LineSegmentOf(O, F1))/3",
+      "coords": {}
+    },
+    {
+      "index": 1789,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1789.png",
+      "answer": "7/6",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;a <= sqrt(3)*b;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1790,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1791,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1791.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/16 - y^2/m = 1);FocalLength(G) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1792,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1792.png",
+      "answer": "1/4",
+      "fact_expr": "G: Parabola;F: Point;l: Line;Expression(G) = (x^2 = y/2);Focus(G) = F;Directrix(G) = l",
+      "coords": {}
+    },
+    {
+      "index": 1793,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1793.png",
+      "answer": "(1,2]",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Negation(Distance(Focus(G), Asymptote(E)) > sqrt(3))",
+      "coords": {}
+    },
+    {
+      "index": 1794,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1794.png",
+      "answer": "4/3",
+      "fact_expr": "C: Ellipse;P: Point;A: Point;F: Point;Expression(C) = (x^2/2 + y^2 = 1);RightFocus(C) = F;UpperVertex(C) = A;PointOnCurve(P, C);WhenMax(Perimeter(TriangleOf(P, A, F)))",
+      "coords": {}
+    },
+    {
+      "index": 1795,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1796,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1797,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1797.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;OneOf(Focus(G)) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, OneOf(Asymptote(G)));O: Origin;PointOnCurve(FootPoint(L, OneOf(Asymptote(G))), PerpendicularBisector(LineSegmentOf(O, F)))",
+      "coords": {}
+    },
+    {
+      "index": 1798,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1798.png",
+      "answer": "1/8",
+      "fact_expr": "G: Ellipse;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);LeftFocus(G)=F1;RightFocus(G)=F2;Distance(P,F1)=4*Distance(P,F2)",
+      "coords": {}
+    },
+    {
+      "index": 1799,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1799.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Distance(RightVertex(C), OneOf(Asymptote(C)))=a/2",
+      "coords": {}
+    },
+    {
+      "index": 1800,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1800.png",
+      "answer": "x-y-3=0",
+      "fact_expr": "G: Hyperbola;H: LineSegment;P: Point;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(P) = (4, 1);IsChordOf(H,G);MidPoint(H)=P",
+      "coords": {
+        "P": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1801,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1802,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1802.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;O:Origin;b > a;a > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Distance(P,O) = b;Sin(AngleOf(P, F2, F1)) = (5/3)*Sin(AngleOf(P, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1803,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1803.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;l1: Line;l2: Line;M: Point;N: Point;P: Point;Expression(G) = (x^2 + y^2/4 = 1);Expression(l1) = (y = 2*x);Expression(l2) = (y = -2*x);PointOnCurve(P, G);L1:Line;L2:Line;PointOnCurve(P, L1);PointOnCurve(P, L2);IsParallel(l1, L1);IsParallel(l2, L2);Intersection(L1, l2) = M;Intersection(L2, l1) = N",
+      "coords": {}
+    },
+    {
+      "index": 1804,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1804.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;a: Number;M: Circle;A: Point;B: Point;P: Point;a>1;Expression(C) = (y^2/(a^2 - 1) + x^2/a^2 = 1);Expression(M) = (y^2 + (x - 1)^2 = 1);PointOnCurve(P, C);IsDiameter(LineSegmentOf(A,B),M);Max(DotProduct(VectorOf(P, A), VectorOf(P, B))) = 15",
+      "coords": {}
+    },
+    {
+      "index": 1805,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1805.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, LeftPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Cos(AngleOf(P, F1, F2)) = Sin(AngleOf(P, F2, F1));Sin(AngleOf(P, F2, F1)) = sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 1806,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1807,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1808,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1808.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;B: Point;D: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C)=F;PointOnCurve(F,l);Slope(l)=1/2;Intersection(l,C)={A,B};IsChordOf(LineSegmentOf(A,B),C);MidPoint(LineSegmentOf(A,B))=D;F:Point;Distance(D, Directrix(C)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 1809,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1809.png",
+      "answer": "y=pm*(sqrt(3)*x/3)",
+      "fact_expr": "P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(P, E);M: Point;N: Point;LeftVertex(E) = M;RightVertex(E) = N;Slope(LineOf(P, M))*Slope(LineOf(P, N)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 1810,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1810.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P: Point;Expression(G) = (x^2/4 + y^2/2 = 1);Coordinate(P) = (1, 1);PointOnCurve(P,H);MidPoint(H)=P;IsChordOf(H,G)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1811,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1812,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1812.png",
+      "answer": "5",
+      "fact_expr": "C: Ellipse;m: Real;m>0;Expression(C) = (y^2/3 + x^2/m = 1);PointOnCurve(Focus(C) ,xAxis);FocalLength(C) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1813,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1813.png",
+      "answer": "{pi/3,2*pi/3}",
+      "fact_expr": "l: Line;G: Parabola;p: Number;P: Point;M: Point;F: Point;N: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {M, N};Intersection(l,Directrix(G)) = P;VectorOf(P, M) = 2*VectorOf(P, F)",
+      "coords": {}
+    },
+    {
+      "index": 1814,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1814.png",
+      "answer": "sqrt(2) + 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;F: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;RightFocus(C) = F;Intersection(LeftDirectrix(C), xAxis) = B ;MidPoint(LineSegmentOf(B, F)) = A",
+      "coords": {}
+    },
+    {
+      "index": 1815,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1815.png",
+      "answer": "(1,3/2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F: Point;RightFocus(G) = F;A: Point;PointOnCurve(A, G) = True;Quadrant(A) = 1;Intersection(OverlappingLine(LineSegmentOf(A, F)), G) = B;B: Point;Intersection(OverlappingLine(LineSegmentOf(A, O)), G) = C;C: Point;O: Origin;Area(TriangleOf(A, B, C)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1816,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1816.png",
+      "answer": "6",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/4 + x^2/a^2 = 1);a: Number;a>2;FocalLength(C) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1817,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 7.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1817.png",
+      "answer": "(-\\sqrt{2},0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/7 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1818,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1818.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;B: Point;F2: Point;F1: Point;e:Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = e;e=sqrt(3);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(F1, G);Intersection(G,LeftPart(C))=A;Intersection(G,RightPart(C))=B;Abs(LineSegmentOf(A, B)) = 4;Abs(LineSegmentOf(A, F2)) = Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1819,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1819.png",
+      "answer": "{-1,-3}",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;A: Point;B: Point;x0:Number;m:Real;Expression(C) = (x^2/12 + y^2/4 = 1);Coordinate(P) = (x0, 2);Expression(l) = (y = x + m);Intersection(l, C) = {A, B};Negation(A=B);Abs(LineSegmentOf(A, B)) = 3*sqrt(2);Abs(VectorOf(P, A)) = Abs(VectorOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 1820,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1820.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;H: Line;B: Point;N: Point;A: Point;M: Point;k:Number;Expression(G) = (y^2 = 4*x);k>0;Expression(H) = (y = k*(x + 1));Intersection(H, G) = {A, B};Projection(A,Directrix(G))=M;Projection(B,Directrix(G))=N;Abs(LineSegmentOf(B, N)) = 2*Abs(LineSegmentOf(A, M))",
+      "coords": {}
+    },
+    {
+      "index": 1821,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1821.png",
+      "answer": "ApplyUnit(45, degree)",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;F: Point;l: Line;Expression(G) = (x^2 = 8*y);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, Q), l);FootPoint(LineSegmentOf(P, Q), l) = Q;Abs(LineSegmentOf(P, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1822,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1823,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1824,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1824.png",
+      "answer": "2*sqrt(10) - 2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;M: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (4, 6);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          4.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 1825,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1826,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1826.png",
+      "answer": "(1, 2)",
+      "fact_expr": "A: Point;B: Point;G: Parabola;H: Line;Expression(G) = (x^2 = 2*y);Expression(H) = (y = x + 1);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1827,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1828,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1828.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y = -x^2/4);Coordinate(P) = (m, n);PointOnCurve(P, G);m: Number;n: Number",
+      "coords": {}
+    },
+    {
+      "index": 1829,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1830.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (sqrt(5), 0);Expression(OneOf(Asymptote(G))) = (2*x + y = 0);OneOf(Focus(G))=H",
+      "coords": {
+        "H": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1831,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.872983346207417,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 15.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1831.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x);P: Point;PointOnCurve(P, G);H: Ellipse;Expression(H) = (x^2/16 + y^2/15 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1832,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1832.png",
+      "answer": "-p^2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;H: Line;PointOnCurve(Focus(G), H);NumIntersection(H, G) = 2;A: Point;B: Point;Intersection(H, G) = {A, B};y1: Number;y2: Number;YCoordinate(A) = y1;YCoordinate(B) = y2",
+      "coords": {}
+    },
+    {
+      "index": 1833,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1833.png",
+      "answer": "x=3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1834,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1834.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1835,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1836,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1836.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;b: Number;P: Point;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Coordinate(P) = (1, 2);PointOnCurve(P,OneOf(Asymptote(G)))",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1837,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1837.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;A: Point;LeftVertex(G) = A;Endpoint(ImageinaryAxis(G)) = {B1, B2};B1: Point;B2: Point;PointOnCurve(F, H) ;PointOnCurve(A, H) ;PointOnCurve(B1, H) ;PointOnCurve(B2, H) ;H: Circle",
+      "coords": {}
+    },
+    {
+      "index": 1838,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1839,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1839.png",
+      "answer": "(1, 5/3]",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 1840,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1841,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1841.png",
+      "answer": "(\\sqrt{21}+\\sqrt{3})/3",
+      "fact_expr": "l: Line;W: Hyperbola;b: Number;a: Number;c:Number;F: Point;O: Origin;A: Point;C: Point;B: Point;a>0;b>0;Expression(W) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-c, 0);LeftFocus(W) = F;Expression(l)=(y = (sqrt(3)/3)*(c + x));Intersection(l, LeftPart(W)) = A;Intersection(l, RightPart(W))=B;Intersection(l, yAxis)=C;DotProduct(VectorOf(O, A), VectorOf(C, F)) = c^2/3",
+      "coords": {}
+    },
+    {
+      "index": 1842,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1842.png",
+      "answer": "(\\sqrt{2} - 1)/2",
+      "fact_expr": "P: Point;m: Number;H: Circle;G: Parabola;Expression(G) = (x^2 = 4*(-m + y));Expression(H) = (x^2 + y^2 = 1);Quadrant(P) = 1;Intersection(H, G) = P;IsPerpendicular(TangentOnPoint(P, G), TangentOnPoint(P, H))",
+      "coords": {}
+    },
+    {
+      "index": 1843,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1843.png",
+      "answer": "7/2",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(M, G);LeftFocus(G)=F1;Distance(M, F1) = 3;MidPoint(LineSegmentOf(M, F1)) = N",
+      "coords": {}
+    },
+    {
+      "index": 1844,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1845,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1846,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.7357404232025146,
+        "b": 1.2960242636843804,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.0205966884629577e-05,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/ellipse/problem_1846.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(C) = sqrt(2)/2;P: Point;Coordinate(P) = (sqrt(2)/2, sqrt(3)/2);PointOnCurve(P,C) = True;l: Line;Expression(l) = (y = k*x + m);m: Number;k: Number;Intersection(l, C) = {A, B};A: Point;B: Point;Negation(A=B);DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0;O: Origin",
+      "coords": {
+        "P": [
+          0.7071067811865476,
+          0.8660254037844386
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1847,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1847.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Coordinate(A) = (1, 4);LeftFocus(G) = F;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1848,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1848.png",
+      "answer": "sqrt(10)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = -x/3)",
+      "coords": {}
+    },
+    {
+      "index": 1849,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.039365291595459,
+        "b": 2.936960895380947,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 2.390299779739223e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_1849.png",
+      "answer": "{x^2/25+y^2/9=1,y^2/25+x^2/9=1}",
+      "fact_expr": "G: Ellipse;FocalLength(G)=8;Eccentricity(G)=0.8",
+      "coords": {}
+    },
+    {
+      "index": 1850,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1850.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);d1: Number;Distance(P, Directrix(G)) = d1;d2: Number;A: Point;Coordinate(A) = (1, 4);Distance(P, A) = d2",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1851,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1851.png",
+      "answer": "4",
+      "fact_expr": "A: Point;Coordinate(A) = (1, sqrt(3));C: Ellipse;Expression(C) = (x^2/9 + y^2/5 = 1);F: Point;LeftFocus(C) = F;P: Point;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          1.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 1852,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1852.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;B: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Endpoint(ImageinaryAxis(C))) = B;LeftFocus(C) = F1;RightFocus(C) = F2;Intersection(LineSegmentOf(B, F2), C) = A;VectorOf(B, A) = 2*VectorOf(A, F2)",
+      "coords": {}
+    },
+    {
+      "index": 1853,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1853.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(Q) = (2, -1);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1854,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1854.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;P: Point;F: Point;Q: Point;O:Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O, l);Intersection(l, C) = {P, Q};Abs(LineSegmentOf(P, F)) = 3*Abs(LineSegmentOf(Q, F));AngleOf(P, F, Q) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1855,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_1855.png",
+      "answer": "x^2/5 - y^2/20 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-10*x + x^2 + y^2 = 0);OneOf(Focus(G)) = Center(H);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1856,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 1857,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1857.png",
+      "answer": "3/4",
+      "fact_expr": "B: Point;A: Point;Length(LineSegmentOf(A, B)) = 2;Endpoint(LineSegmentOf(A,B))={A,B};G: Parabola;Expression(G) = (y^2 = x);PointOnCurve(A,G);PointOnCurve(B,G);M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1858,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1858.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;F: Point;Expression(C) = (x^2/2 + y^2 = 1);RightFocus(C) = F;l: Line;Expression(l) = (y = k*(x - 2));k: Number;Negation(k=0);A: Point;B: Point;Intersection(l, C) = {A, B};P: Point;MidPoint(LineSegmentOf(A, B)) = P;O: Origin;k1: Number;k2: Number;k3: Number;Slope(LineSegmentOf(O, P)) = k1;Slope(LineSegmentOf(A, F)) = k2;Slope(LineSegmentOf(B, F)) = k3;k2 = k1*k3",
+      "coords": {}
+    },
+    {
+      "index": 1859,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1859.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;OneOf(Focus(G)) = F;l: Line;PointOnCurve(F, l) = True;IsPerpendicular(l, Asymptote(G)) = True;FootPoint(l, Asymptote(G)) = M;M: Point;Intersection(l, yAxis) = E;E: Point;VectorOf(F, M) = 3*VectorOf(M, E)",
+      "coords": {}
+    },
+    {
+      "index": 1860,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1860.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/6 - y^2/3 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1861,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1861.png",
+      "answer": "16*sqrt(3)/3",
+      "fact_expr": "C: Ellipse;F1: Point;P: Point;F2: Point;Expression(C) = (x^2/25 + y^2/16 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1862,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1862.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;P: Point;O:Origin;Expression(G) = (x - y = 0);Coordinate(P) = (2, 2);Vertex(C)=O;PointOnCurve(Focus(C), xAxis);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1863,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1864,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_1864.png",
+      "answer": "5*pi",
+      "fact_expr": "G: Hyperbola;m: Number;H: Circle;O: Origin;F: Point;l: Line;m>0;Expression(G) = (-m*y^2 + x^2 = m);RightFocus(G)=F;IsPerpendicular(OneOf(Asymptote(G)),H);Center(H)=O;Radius(H)=Abs(LineSegmentOf(O,F));Expression(l)=(y=2*x)",
+      "coords": {}
+    },
+    {
+      "index": 1865,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1866,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1866.png",
+      "answer": "x = 4",
+      "fact_expr": "G: Parabola;C: Circle;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(C) = (y^2 + (x - 3)^2 = 4);l1: Line;l2: Line;PointOnCurve(O, l1);PointOnCurve(O, l2);IsPerpendicular(l1, l2);Negation(O = A);Negation(O = B);Intersection(l1, G) = A;Intersection(l2, G) = B;WhenMin(Length(InterceptChord(LineOf(A, B), C)))",
+      "coords": {}
+    },
+    {
+      "index": 1867,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1867.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1868,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1868.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;B: Point;F:Point;p>0;Expression(G) = (y^2 = 2*(p*x));Slope(l)=sqrt(3);PointOnCurve(F,l);Focus(G)=F;Intersection(l,G)={A,B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 1869,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1869.png",
+      "answer": "y=pm*x\nx=-2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/2 - y^2/2 = 1);G: Parabola;Expression(G) = (y^2 = 2*p*x);p:Number;RightFocus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 1870,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1870.png",
+      "answer": "x-2*y-5=0",
+      "fact_expr": "C: Parabola;B: Point;A: Point;M: Point;Expression(C) = (x^2 = 4*y);Coordinate(M) = (1, -2);PointOnCurve(A, C);PointOnCurve(B, C);VectorOf(A, M) = VectorOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 1871,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1871.png",
+      "answer": "4/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);PointOnCurve(P,G);P:Point;L1:Line;L2:Line;Asymptote(G)={L1,L2};Distance(P,L1)*Distance(P,L2)=c;c:Number",
+      "coords": {}
+    },
+    {
+      "index": 1872,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1872.png",
+      "answer": "((3+sqrt(5))/2, sqrt(5)+1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);Q: Point;Coordinate(Q) = (3, 4);WhenMin(Distance(P, Q)+Distance(P, Directrix(G)))",
+      "coords": {
+        "Q": [
+          3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 1873,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1874,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch;ellipse_point_off_curve",
+      "params": {
+        "a": 1.5952030420303345,
+        "b": 1.581954950409272,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 5.265152936402376e-06,
+        "converged": true,
+        "iterations": 100
+      },
+      "output_path": "results/train/ellipse/problem_1874.png",
+      "answer": "x^2/2 + y^2 = 1",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-1, 0);Coordinate(F2) = (1, 0);Coordinate(P) = (4/3, 1/3);Focus(C) = {F1, F2};PointOnCurve(P, C)",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ],
+        "P": [
+          1.3333333333333333,
+          0.3333333333333333
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch",
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1875,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1875.png",
+      "answer": "y=pm*x",
+      "fact_expr": "l: Line;Inclination(l) = ApplyUnit(30, degree);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, G) = {A, B};PointOnCurve(F2, PerpendicularBisector(LineSegmentOf(A, B)))",
+      "coords": {}
+    },
+    {
+      "index": 1876,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1876.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;M: Point;F2: Point;O: Origin;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F2;PointOnCurve(M, yAxis);OneOf(Intersection(LineOf(M,F2),C))=A;Abs(LineSegmentOf(O,A))=Abs(LineSegmentOf(O,F2));Abs(LineSegmentOf(O,F2))=2*Abs(LineSegmentOf(O,M))",
+      "coords": {}
+    },
+    {
+      "index": 1877,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1877.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C);N: Point;Intersection(OverlappingLine(LineSegmentOf(F, M)), xAxis) = N;MidPoint(LineSegmentOf(F, N)) = M",
+      "coords": {}
+    },
+    {
+      "index": 1878,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1878.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;B: Point;F2: Point;A: Point;F1: Point;0 < b;b < 2;Expression(G) = (x^2/4 + y^2/b^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, G) = {A,B};Max(Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2))) = 6",
+      "coords": {}
+    },
+    {
+      "index": 1879,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1879.png",
+      "answer": "1/2",
+      "fact_expr": "M: Point;Coordinate(M) = (1, -1);C: Parabola;Expression(C) = (x^2 = 4*y);k: Number;l: Line;Slope(l) = k;PointOnCurve(Focus(C), l);A: Point;B: Point;Intersection(l, C) = {A, B};N: Point;MidPoint(LineSegmentOf(A, B)) = N;2*Abs(LineSegmentOf(M, N)) = Abs(LineSegmentOf(A, B))",
+      "coords": {
+        "M": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1880,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1881,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1881.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;G: Line;A: Point;F: Point;B: Point;lambda: Number;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(60, degree);Intersection(G, C) = {A, B};LineSegmentOf(A, F) = LineSegmentOf(F, B)*lambda;Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 1882,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1882.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A: Point;LeftVertex(C) = A;B: Point;PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(B, F), xAxis);Slope(LineOf(A, B)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1883,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1883.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Ellipse;a: Number;A: Point;F: Point;a>0;Expression(C) = (y^2/3 + x^2/a^2 = 1);Coordinate(A) = (3, 0);RightFocus(C) = F;PointOnCurve(MidPoint(LineSegmentOf(A,F)), C)",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1884,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1884.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "F: Point;A: Point;G: Parabola;p: Number;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (0, 2);Focus(G) = F;MidPoint(LineSegmentOf(F, A))=B;PointOnCurve(B, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1885,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1886,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1886.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1=F2);Distance(P, F1) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1887,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1888,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1889,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1889.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Line;Expression(H) = (3*x + 4*y - 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 1890,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1891,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1892,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1893,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1893.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/3 - y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1894,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1894.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Parabola;A: Point;B: Point;e: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);l1:Line;l2:Line;Intersection(Directrix(H),l1) = A;Intersection(Directrix(H),l2) = B;Asymptote(G)={l1,l2};Abs(LineSegmentOf(A, B)) = 2*sqrt(3);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1895,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1896,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1896.png",
+      "answer": "[4*sqrt(2)-sqrt(17),4*sqrt(2)+sqrt(17)]",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;F: Point;Expression(C) = (x^2/8 + y^2/4 = 1);Coordinate(A) = (2, 1);PointOnCurve(P, C);RightFocus(C) = F",
+      "coords": {
+        "A": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1897,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1897.png",
+      "answer": "{sqrt(6)-sqrt(3), sqrt(9-6*sqrt(2))}",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;PointOnCurve(A, C) = True;DotProduct(VectorOf(A, F1), VectorOf(A, F2)) = 0;Intersection(LineOf(A, F2), C) = B;B: Point;Abs(VectorOf(A, B)) = Abs(VectorOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 1898,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1899,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1899.png",
+      "answer": "pm*3*y+4*x=0",
+      "fact_expr": "G: Hyperbola;m: Number;H: Circle;Expression(G) = (x^2/9 - y^2/m = 1);Expression(H) = (-4*x + x^2 + y^2 - 5 = 0);PointOnCurve(OneOf(Focus(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 1900,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1900.png",
+      "answer": "sqrt(2)*2/3",
+      "fact_expr": "l: Line;Gamma: Parabola;A: Point;B: Point;C: Point;k: Number;p: Number;k > 0;Expression(l) = (y = k*(p/2 + x));Expression(Gamma) = (y^2 = 2*p*x);Intersection(Gamma, l) = {A, B};Intersection(Directrix(Gamma), xAxis) = C;VectorOf(A, B) + VectorOf(A, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 1901,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1901.png",
+      "answer": "sqrt(2) + 1",
+      "fact_expr": "C2: Hyperbola;C1: Parabola;F: Point;A: Point;p: Number;p >0;Expression(C1) = (x^2 =2*p*y);Expression(C2) = (-x^2/b^2 + y^2/a^2 = 1);a: Number;b: Number;a > 0;b > 0;Focus(C1) = Focus(C2);Intersection(C1, C2) = A;Quadrant(A) = 1;LowerFocus(C2) = F;NumIntersection(LineOf(A, F), C1) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1902,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_1902.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2 - y^2/b^2 = 1);Expression(OneOf(Asymptote(G)))=(y=2*x)",
+      "coords": {}
+    },
+    {
+      "index": 1903,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1903.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;B: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;IsChordOf(LineSegmentOf(A,B),C);PointOnCurve(F,LineSegmentOf(A,B));Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = P;VectorOf(A, F) = 2*VectorOf(F, B);MidPoint(LineSegmentOf(O, F)) = P;F:Point;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 1904,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1905,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1905.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;O: Origin;F2: Point;l: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2,l);IsPerpendicular(l, OneOf(Asymptote(C)));FootPoint(l, OneOf(Asymptote(C)))=P;Abs(LineSegmentOf(P, F1)) = sqrt(6)*Abs(LineSegmentOf(O, P))",
+      "coords": {}
+    },
+    {
+      "index": 1906,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1906.png",
+      "answer": "2*x-y-15=0",
+      "fact_expr": "P: Point;Coordinate(P) = (8, 1);H: Line;PointOnCurve(P, H);G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);A: Point;B: Point;Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 1907,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_1907.png",
+      "answer": "16/3",
+      "fact_expr": "G: Hyperbola;C: Circle;H: Point;Coordinate(H) = (4, (4*sqrt(7))/3);PointOnCurve(H, G);Expression(Asymptote(G)) = (y = pm*(4/3)*x);PointOnCurve(OneOf(Vertex(G)),C);PointOnCurve(OneOf(Focus(G)),C);PointOnCurve(Center(C),G)",
+      "coords": {
+        "H": [
+          4.0,
+          3.5276684147527875
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 1908,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1908.png",
+      "answer": "sqrt(3)/2+1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 1909,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1909.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;O: Origin;F: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;OneOf(Intersection(PerpendicularBisector(LineSegmentOf(O,F)), C)) = A;Abs(LineSegmentOf(O, A)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1910,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_1910.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/12 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1911,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1911.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;A: Point;P: Point;B: Point;b>0;Expression(C) = (x^2/4 - y^2/b^2 = 1);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(P, C);Slope(LineOf(P, A)) * Slope(LineOf(P, B)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 1912,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1912.png",
+      "answer": "(\\sqrt{10}-\\sqrt{2})/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;P: Point;O: Origin;a>0;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(F1, F2)) = sqrt(2)*Abs(LineSegmentOf(P, F1));AngleOf(F1,P,F2)=ApplyUnit(120,degree)",
+      "coords": {}
+    },
+    {
+      "index": 1913,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1913.png",
+      "answer": "-4",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (y^2 + x^2/a = 1);Length(ImageinaryAxis(G)) = 2*Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 1914,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1914.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;F: Point;P: Point;Q: Point;l: Line;Expression(C)=(x^2=4*y);Focus(C)=F;Directrix(C) = l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P,F),C))=Q;VectorOf(P, Q) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 1915,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1915.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);H: Line;PointOnCurve(Center(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};F1: Point;OneOf(Focus(G)) = F1",
+      "coords": {}
+    },
+    {
+      "index": 1916,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1917,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1918,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1918.png",
+      "answer": "6",
+      "fact_expr": "l: Line;G: Parabola;M: Point;O: Origin;A: Point;B: Point;F: Point;t:Number;Expression(G) = (y^2 = 4*x);Coordinate(M) = (2, t);Focus(G)=F;PointOnCurve(F, l);Intersection(l, G) = {A, B};VectorOf(O, M)=(1/2)*(VectorOf(O, A) + VectorOf(O, B))",
+      "coords": {}
+    },
+    {
+      "index": 1919,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1919.png",
+      "answer": "4/3",
+      "fact_expr": "G: Hyperbola;b: Number;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/b^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);Min(DotProduct(VectorOf(P, F1), VectorOf(P, F2))) = (-1)*7",
+      "coords": {}
+    },
+    {
+      "index": 1920,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1921,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1922,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.58257569495584,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 21.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1922.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F: Point;Expression(G) = (x^2/25 + y^2/21 = 1);Expression(H) = (x = -2);Intersection(H, G) = {A, B};RightFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 1923,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1923.png",
+      "answer": "sqrt(13)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;O: Origin;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, RightPart(C)) = {A, B};P: Point;Intersection(OverlappingLine(LineSegmentOf(A, O)), C) = P;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));AngleOf(P, F, B) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1924,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1924.png",
+      "answer": "(2, 4)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (-2, 0);WhenMax(Abs(LineSegmentOf(P, A)))",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1925,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1925.png",
+      "answer": "32",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/64 + y^2/16 = 1);F2: Point;RightFocus(G) =  F2;PointOnCurve(F2, LineOf(A, B)) = True;IsPerpendicular(LineOf(A, B), xAxis) = True;Intersection(LineOf(A, B), G) = {A, B};A: Point;B: Point;F1: Point;LeftFocus(G) = F1",
+      "coords": {}
+    },
+    {
+      "index": 1926,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1926.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;M: Point;P: Point;F1: Point;F2: Point;m:Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (m, 0);PointOnCurve(P, RightPart(C));Negation(PointOnCurve(P, xAxis));LeftFocus(C) = F1;RightFocus(C) = F2;TangentPoint(InscribedCircle(TriangleOf(P,F1,F2)),xAxis)=M;(sqrt(3)/3)*b<=m;m<=2*b",
+      "coords": {}
+    },
+    {
+      "index": 1927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1927.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1928,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 7.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1928.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;H: Circle;I: Line;n: Number;m: Number;P:Point;Expression(G) = (x^2/7 + y^2/3 = 1);Expression(H) = (x^2 + y^2 = 3);Expression(I) = (m*x + n*y - 3 = 0);Coordinate(P) = (m, n);NumIntersection(I,H)=0;L:Line;PointOnCurve(P,L)",
+      "coords": {}
+    },
+    {
+      "index": 1929,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1929.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightDirectrix(G));c: Number;HalfFocalLength(G) = c;YCoordinate(P) = sqrt(3)*c;LineSegmentOf(F1, F2) = LineSegmentOf(F2, P)",
+      "coords": {}
+    },
+    {
+      "index": 1930,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1930.png",
+      "answer": "sqrt(57)/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);H: Circle;PointOnCurve(RightVertex(G), H) ;PointOnCurve(RightFocus(G), H);PointOnCurve(Center(H), G)",
+      "coords": {}
+    },
+    {
+      "index": 1931,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1931.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;A: Point;B: Point;b > a;a > 0;c: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (a, 0);Coordinate(B) = (0, b);FocalLength(G) = 2*c;PointOnCurve(A, l);PointOnCurve(B, l);O: Origin;Distance(O, l) = c*(sqrt(3)/4)",
+      "coords": {}
+    },
+    {
+      "index": 1932,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1932.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 1933,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1934,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1935,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1936,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1936.png",
+      "answer": "3/5",
+      "fact_expr": "G: Line;Expression(G) = (5*x + 4*y - 1 = 0);C: Ellipse;Expression(C) = (x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Intersection(G, C) = {M, N};M: Point;N: Point;MidPoint(LineSegmentOf(M, N)) = P;P: Point;O: Origin;Slope(LineOf(O, P)) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 1937,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.8706156235768385,
+        "b": 0.9134866531697662,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 8.509210183089842e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/train/ellipse/problem_1937.png",
+      "answer": "{x^2/9 + y^2 = 1, x^2/9 + y^2/81 = 1}",
+      "fact_expr": "G: Ellipse;A: Point;Coordinate(A) = (3, 0);Length(MajorAxis(G)) = 3 * Length(MinorAxis(G));OverlappingLine(MajorAxis(G), axis);OverlappingLine(MinorAxis(G), axis);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 1938,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1939,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1939.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1940,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1941,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1941.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/4 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 1942,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1942.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};Abs(LineSegmentOf(P,F1))*Abs(LineSegmentOf(P,F2))=k;k:Number",
+      "coords": {}
+    },
+    {
+      "index": 1943,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1943.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 + (x - 2)^2 = 2);IsTangent(H, Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 1944,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1944.png",
+      "answer": "1/16",
+      "fact_expr": "A: Point;B: Point;C: Point;D: Point;G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;PointOnCurve(F,LineSegmentOf(A,B));IsChordOf(LineSegmentOf(A,B), G) ;PointOnCurve(F, LineSegmentOf(C,D));IsChordOf(LineSegmentOf(C,D),G) ;IsPerpendicular(LineSegmentOf(A,B), LineSegmentOf(C,D))",
+      "coords": {}
+    },
+    {
+      "index": 1945,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1945.png",
+      "answer": "(4*sqrt(5)/5)-1",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Q: Point;M: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (2*x - y + 2 = 0);PointOnCurve(P,G);L:Line;PointOnCurve(P,L);IsPerpendicular(L,yAxis);FootPoint(L,yAxis)=Q;PointOnCurve(M, H)",
+      "coords": {}
+    },
+    {
+      "index": 1946,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1946.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "H: Ellipse;O: Origin;Center(H) = O;G: Parabola;Expression(G) = (y^2 = 8*x);OneOf(Focus(H)) = Focus(G);Coordinate(OneOf(Vertex(H))) = (0, 2)",
+      "coords": {}
+    },
+    {
+      "index": 1947,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1947.png",
+      "answer": "pm*4",
+      "fact_expr": "G: Parabola;P: Point;O: Origin;F:Point;Focus(G)=F;Coordinate(P) = (m,-2);Vertex(G) = O;PointOnCurve(Focus(G),yAxis);PointOnCurve(P,G);Distance(P,F)=4;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 1948,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1948.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;F1: Point;M: Point;F2: Point;Expression(G) = (x^2/4 - y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(M, G);AngleOf(F1, M, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 1949,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1949.png",
+      "answer": "[1/3,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);e: Number;Abs(LineSegmentOf(P,F1))=(3/2)*e*Abs(LineSegmentOf(P,F2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 1950,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1950.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "P: Point;F: Point;C: Parabola;p: Number;Q: Point;M: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (0, 2);Focus(C) = F;Intersection(LineSegmentOf(P, F), C) = M;PointOnCurve(M, l);IsPerpendicular(l, Directrix(C));FootPoint(l, Directrix(C)) = Q;AngleOf(P, Q, F) = ApplyUnit(90, degree)",
+      "coords": {
+        "P": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 1951,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1951.png",
+      "answer": "[1/2, sqrt(2)/2]",
+      "fact_expr": "l: Line;Expression(l) = (-2*k + k*x - y + 1 = 0);C1: Ellipse;Expression(C1) = (y^2/b^2 + x^2/a^2 = 1);Intersection(l, C1) = {A, B};A: Point;B: Point;C2: Circle;Expression(C2) = ((x - 2)^2 + (y - 1)^2 = 1);Intersection(l, C2) = {C, D};C: Point;D: Point;k: Number;In(k, [-3/2, -1]);VectorOf(A, C) = VectorOf(D, B);b:Number;a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 1952,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1952.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Circle;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(F1,F2),G);Intersection(G,Asymptote(C))=P;Abs(LineSegmentOf(P, F1)) = 2*b;Quadrant(P)=1",
+      "coords": {}
+    },
+    {
+      "index": 1953,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          5.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_1953.png",
+      "answer": "(x^2/9-y^2/16=1)&(x<=-3)",
+      "fact_expr": "G1: Circle;G2: Circle;Expression(G2) = (y^2 + (x + 5)^2 = 1);G3: Circle;Expression(G3) = (y^2 + (x - 5)^2 = 49);IsOutTangent(G1, G2) = True;IsOutTangent(G1, G3) = True",
+      "coords": {}
+    },
+    {
+      "index": 1954,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1954.png",
+      "answer": "x^2/8 + y^2/4 = 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = 4);PointOnCurve(Focus(C), G);PointOnCurve(Endpoint(MinorAxis(C)), G)",
+      "coords": {}
+    },
+    {
+      "index": 1955,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1955.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;Expression(l) = (x=-1);M: Point;PointOnCurve(M, C) = True;A: Point;Projection(M,l) = A;Slope(LineOf(A,F)) = -sqrt(3);p: Number",
+      "coords": {}
+    },
+    {
+      "index": 1956,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1956.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;b: Number;P: Point;O: Origin;F: Point;H: Line;b>0;Expression(G) = (x^2/5 - y^2/b^2 = 1);RightFocus(G) = F;PointOnCurve(F, H);IsPerpendicular(Asymptote(G), H);FootPoint(Asymptote(G), H) = P;Area(TriangleOf(P, O, F)) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 1957,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1957.png",
+      "answer": "9",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G) = True;Intersection(G, LeftPart(C)) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 1958,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1958.png",
+      "answer": "1\n2",
+      "fact_expr": "C1: Hyperbola;C2: Hyperbola;F: Point;a: Number;b: Number;a > 0;b > 0;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);Expression(C2) = (x^2/4 - y^2/16 = 1);Asymptote(C1) = Asymptote(C2);Coordinate(F) = (sqrt(5), 0);RightFocus(C1) = F",
+      "coords": {
+        "F": [
+          2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 1959,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1959.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;M: Point;O: Origin;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(M) = (4, y1);Focus(G)=F;Distance(M,F)=5;y1:Number;PointOnCurve(M,G)",
+      "coords": {}
+    },
+    {
+      "index": 1960,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1960.png",
+      "answer": "{(4,-4),(16,8)}",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x);PointOnCurve(P, G);Distance(P, H) = 4*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 1961,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1962,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1962.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;H: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(H) = (0, -1);PointOnCurve(P, G)",
+      "coords": {
+        "H": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 1963,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1963.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;A: Point;F1: Point;F2: Point;B: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F2, G);Intersection(G, E) = {A, B};DotProduct(VectorOf(A, F1), VectorOf(A, F2)) = 0;VectorOf(A, F2) = 2*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 1964,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1965,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1965.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Hyperbola;H: Parabola;I: Ellipse;O: Origin;Expression(G) = (x^2/16 - y^2 = 1);Expression(H) = (x^2 = 8*y);Center(I) = O;SymmetryAxis(I) = axis;PointOnCurve(Focus(H), I);PointOnCurve(Vertex(G), I)",
+      "coords": {}
+    },
+    {
+      "index": 1966,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1966.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, l);Q: Point;OneOf(Intersection(LineOf(P, F), C)) = Q;VectorOf(Q, P) = 3*VectorOf(Q, F)",
+      "coords": {}
+    },
+    {
+      "index": 1967,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1967.png",
+      "answer": "25/4",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;Intersection(l, G) = {A, B};F: Point;Focus(G) = F;PointOnCurve(F, l);Coordinate(A) = (8, 8)",
+      "coords": {
+        "A": [
+          8.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 1968,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1968.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = 3;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 1969,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1970,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1970.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b2: Number;a2: Number;H: Ellipse;a1: Number;b1: Number;F1: Point;P: Point;F2: Point;a2>0;b2>0;Expression(G) = (-y^2/b2^2 + x^2/a2^2 = 1);a1 > b1;b1 > 0;Expression(H) = (y^2/b1^2 + x^2/a1^2 = 1);OneOf(Intersection(H, G)) = P;Focus(G) = {F1, F2};Focus(H) = {F1, F2};e1: Number;e2: Number;Eccentricity(H) = e1;Eccentricity(G) = e2;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 1971,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1972,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1973,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1973.png",
+      "answer": "-1/2",
+      "fact_expr": "m: Line;G: Ellipse;O: Origin;P: Point;P1: Point;P2: Point;M: Point;k1: Number;k2: Number;Negation(k1 = 0);Expression(G) = (x^2/2 + y^2 = 1);Coordinate(M) = (-2, 0);PointOnCurve(M, m);Intersection(m, G) = {P1, P2};MidPoint(LineSegmentOf(P1, P2)) = P;Slope(m) = k1;Slope(LineOf(O, P)) = k2",
+      "coords": {
+        "M": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1974,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1974.png",
+      "answer": "sqrt(21)",
+      "fact_expr": "G: Ellipse;H: Line;P0: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Expression(H) = (2*x - sqrt(3)*y + 3*sqrt(3) = 0);PointOnCurve(P0, G)",
+      "coords": {}
+    },
+    {
+      "index": 1975,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1976,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1976.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);Negation(IsPerpendicular(l,axis));A: Point;B: Point;Intersection(l, G) = {A, B};M: Point;Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = M",
+      "coords": {}
+    },
+    {
+      "index": 1977,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1978,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1978.png",
+      "answer": "(x-1/2)^2+y^2=1",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (y^2 = 2*x);Focus(G)=Center(H);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 1979,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1979.png",
+      "answer": "26",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H) = True;H: Line;Intersection(H, LeftPart(G)) = {A, B};A: Point;B: Point;Length(LineSegmentOf(A, B)) = 5;a = 4",
+      "coords": {}
+    },
+    {
+      "index": 1980,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1980.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 1981,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1982,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1982.png",
+      "answer": "2*pi/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1983,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1983.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;Area(TriangleOf(F1, P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 1984,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1985,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1985.png",
+      "answer": "-1/2",
+      "fact_expr": "m: Line;G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);P1: Point;P2: Point;Intersection(m, G) = {P1, P2};P: Point;MidPoint(LineSegmentOf(P1, P2)) = P;k1: Number;Negation(k1=0);Slope(m) = k1;O: Origin;k2: Number;Slope(LineOf(O, P)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 1986,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1986.png",
+      "answer": "(x-5)^2+y^2=4^2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);H: Circle;Center(H) = RightFocus(G);IsTangent(Asymptote(G), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 1987,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1988,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1988.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G);Q: Point;H: Circle;PointOnCurve(Q, H);C: Point;Coordinate(C) = (2, 0);Center(H) = C;Length(Radius(H)) = 1",
+      "coords": {
+        "C": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 1989,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1989.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;l1: Line;l2: Line;F1: Point;F2: Point;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(F1, F2), G);OneOf(Asymptote(C)) = l1;OneOf(Asymptote(C)) = l2;Negation(l1 = l2);Intersection(G, l1) = M;Abs(LineSegmentOf(M, F1)) > Abs(LineSegmentOf(M, F2));PointOnCurve(MidPoint(LineSegmentOf(M, F1)), l2)",
+      "coords": {}
+    },
+    {
+      "index": 1990,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1990.png",
+      "answer": "(8/3,+oo)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, l) ;l: Line;Intersection(l, RightPart(C)) = {A, B};A: Point;B: Point;VectorOf(A, F2) = 2*VectorOf(F2, B);Perimeter(TriangleOf(A, B, F1)) = FocalLength(C) * 3;AngleOf(A, F1, B) > AngleOf(A, B, F1)",
+      "coords": {}
+    },
+    {
+      "index": 1991,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 1992,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1992.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;F2: Point;P: Point;F1: Point;Expression(G) = (x^2/16 - y^2/20 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Distance(P,F1) = 9",
+      "coords": {}
+    },
+    {
+      "index": 1993,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1993.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Line;p>0;Expression(G) = (x^2=2*p*y);Expression(H) = (2*x-y+3=0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 1994,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_1994.png",
+      "answer": "21/10",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H: Line;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x = -1/2);alpha:Number;Coordinate(F) = (-Sin(alpha)*Cos(alpha), 0);Tan(alpha) = -2;Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 1995,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1995.png",
+      "answer": "6*sqrt(7)/7",
+      "fact_expr": "G: Hyperbola;L1: Line;L2: Line;Expression(G) = (x^2/3 - y^2/4 = 1);Directrix(G) = {L1, L2}",
+      "coords": {}
+    },
+    {
+      "index": 1996,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_1996.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (3, -3);P: Point;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 1997,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_1997.png",
+      "answer": "(1,0)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;e:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};Eccentricity(G)=e;e=sqrt(2)/2;UpperVertex(G)=P;Area(TriangleOf(P, F1, F2)) = 1;RightFocus(G)=F2",
+      "coords": {}
+    },
+    {
+      "index": 1998,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_1998.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/5 + x^2/m = 1);m: Number;m>0;Expression(OneOf(Asymptote(G))) = (sqrt(5)*x + 2*y = 0);F: Point;LeftFocus(G) = F;P: Point;PointOnCurve(P, RightPart(G));H: Circle;Expression(H) = (x^2 + (y - 4)^2 = 1);Q: Point;PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 1999,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2000,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2000.png",
+      "answer": "5*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/9 + y^2/5 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2001,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_2001.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);Expression(OneOf(Asymptote(G)))=(y=sqrt(3)*x);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2002,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2002.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2/3 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2003,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2003.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;L: Line;PointOnCurve(F,L) = True;IsPerpendicular(L,OneOf(Asymptote(C))) = True;FootPoint(L,OneOf(Asymptote(C))) = A;O: Origin;Abs(LineSegmentOf(O, A)) = 2*Abs(LineSegmentOf(A, F));A: Point",
+      "coords": {}
+    },
+    {
+      "index": 2004,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2004.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (x + 3*y + 2022 = 0);IsPerpendicular(OneOf(Asymptote(C)), l)",
+      "coords": {}
+    },
+    {
+      "index": 2005,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2005.png",
+      "answer": "12",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(C) = (x^2/9 + y^2/4 = 1);Focus(C) = {F1, F2};PointOnCurve(F1, l);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2006,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2006.png",
+      "answer": "((x-2)^2-y^2/3=1)&(x>2)",
+      "fact_expr": "P: Circle;O1: Circle;Expression(O1) = (x^2 + y^2 = 1);O2: Circle;Expression(O2) = ((x - 4)^2 + y^2 = 9);IsInTangent(P, O1);IsInTangent(P, O2)",
+      "coords": {}
+    },
+    {
+      "index": 2007,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2007.png",
+      "answer": "b",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2008,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2008.png",
+      "answer": "3/5",
+      "fact_expr": "C: Parabola;p: Number;P: Point;Q: Point;F: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, Q), xAxis);FootPoint(LineSegmentOf(P, Q), xAxis) = Q;Focus(C) = F ;AngleOf(P, O, Q) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2009,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2010,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 27.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2010.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;O: Origin;M: Point;F2: Point;Expression(C) = (x^2/36 + y^2/27 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 8;MidPoint(LineSegmentOf(P,F1))=M",
+      "coords": {}
+    },
+    {
+      "index": 2011,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2011.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-6*x + x^2 + y^2 + 5 = 0);RightFocus(G) = F;Center(H)=F;IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 2012,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2012.png",
+      "answer": "(1, 5/3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2013,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 12.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 144.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2013.png",
+      "answer": "14",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/144 + y^2/36 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Distance(P, F1) = 10;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 2014,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2014.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F: Point;A:Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;RightVertex(G) = A;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,F),xAxis);Abs(LineSegmentOf(P,F))=(3/4)*Abs(LineSegmentOf(A,F))",
+      "coords": {}
+    },
+    {
+      "index": 2015,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2015.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 + 2*y^2 = 2);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 2016,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 2017,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2017.png",
+      "answer": "x+2*y-4=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/12 + y^2/3 = 1);H: LineSegment;IsChordOf(H, G);I: Point;Coordinate(I) = (2, 1);MidPoint(H) = I",
+      "coords": {
+        "I": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2018,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2019,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2019.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/9 = 1);M: Point;PointOnCurve(M, RightPart(G));F1: Point;LeftFocus(G) = F1;Abs(LineSegmentOf(M, F1)) = 18;N: Point;MidPoint(LineSegmentOf(M, F1)) = N;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2020,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2020.png",
+      "answer": "4*c*x-2*b*y+a=0",
+      "fact_expr": "H: Line;G: Parabola;P: Point;Q: Point;F: Point;a: Number;b: Number;c: Number;Negation(c=0);M: Point;N: Point;Expression(H) = (a*x + b*y + c = 0);Expression(G) = (y^2 = 2*x);Intersection(H, G)={P,Q};Focus(G) = F;Intersection(LineOf(P, F), G) = M;Intersection(LineOf(Q, F), G) = N",
+      "coords": {}
+    },
+    {
+      "index": 2021,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2021.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;G: Line;PointOnCurve(F2, G);A: Point;B: Point;Intersection(G, E) = {A, B};IsPerpendicular(LineSegmentOf(A, F1), LineSegmentOf(A, B));VectorOf(A, B) = 3*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 2022,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2022.png",
+      "answer": "(1, -1/4)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -4*y);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (1, -2);WhenMin(Abs(LineSegmentOf(P, A))+Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          1.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 2023,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2023.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;A: Point;M: Point;F: Point;Expression(C) = (y^2 = 16*x);Coordinate(A) = (4, 1);Focus(C) = F;PointOnCurve(M, C)",
+      "coords": {
+        "A": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2024,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2024.png",
+      "answer": "(41/16, 3/4)",
+      "fact_expr": "l: Line;P: Point;Coordinate(P) = (2, 0);Slope(l) = 4/3;PointOnCurve(P, l) = True;G: Parabola;Expression(G) = (y^2 = 2*x);Intersection(l, G) = {A, B};B: Point;A: Point;MidPoint(LineSegmentOf(A, B)) = M;M: Point",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2025,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2025.png",
+      "answer": "y = pm*x*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 1);IsTangent(G, Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 2026,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2026.png",
+      "answer": "32",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 16*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(45, degree);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2027,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2028,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2029,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2029.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;L1: Line;L2: Line;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Expression(L1)=(4*x-3*y+6=0);Expression(L2)=(x=-1)",
+      "coords": {}
+    },
+    {
+      "index": 2030,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2030.png",
+      "answer": "(0,1/8)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 2031,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2031.png",
+      "answer": "{1,2}",
+      "fact_expr": "G: Parabola;p: Number;B: Point;A: Point;M: Point;l1: Line;l2:Line;p>0;Expression(G) = (x^2=2*p*y);Coordinate(M) = (2,-2*p);TangentOfPoint(M,G)={l1,l2};TangentPoint(l1,G)=A;TangentPoint(l2,G)=B;YCoordinate(MidPoint(LineSegmentOf(A,B)))=6",
+      "coords": {}
+    },
+    {
+      "index": 2032,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2032.png",
+      "answer": "[2,+oo)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F:Point;RightFocus(G) = F;L: Line;PointOnCurve(F,L) = True;Inclination(L) = ApplyUnit(60,degree);NumIntersection(L,RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2033,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2033.png",
+      "answer": "[2/5, 5/8]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Length(MinorAxis(G)) = 8;A: Point;UpperVertex(G) = A;B: Point;LeftVertex(G) = B;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Area(TriangleOf(F1, A, B)) = 4;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2034,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2034.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;O: Origin;M: Point;N: Point;A: Point;F1: Point;B: Point;l:Line;LeftFocus(G) = F1;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, F1)) = M;MidPoint(LineSegmentOf(B, F1)) = N;IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(O, N));PointOnCurve(O,l)",
+      "coords": {}
+    },
+    {
+      "index": 2035,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2035.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;G: Line;B: Point;D: Point;P: Point;A: Point;O:Origin;Expression(C) = (y^2 = 8*x);Coordinate(P) = (m, 0);m:Number;m>0;PointOnCurve(P, l);Intersection(l, C) = {A, B};PointOnCurve(A,G);PointOnCurve(O,G);Vertex(C)=O;Intersection(G,Directrix(C))=D;IsParallel(LineSegmentOf(B,D),SymmetryAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 2036,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.656854249492381,
+        "b": 4.0,
+        "major_axis": "y",
+        "x_coef": 16.0,
+        "y_coef": 32.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2036.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/32 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2037,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_asymptote_mismatch",
+      "params": {
+        "a": 1.1532304286956787,
+        "b": 2.5773532390594482,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 8.412490387854632e-06,
+        "converged": true,
+        "iterations": 114
+      },
+      "output_path": "results/train/hyperbola/problem_2037.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(C)) = (y = pm*(sqrt(5)*x)/2)",
+      "coords": {},
+      "validation_reasons": [
+        "hyperbola_asymptote_mismatch"
+      ]
+    },
+    {
+      "index": 2038,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.477225575051661,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2038.png",
+      "answer": "139",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/30 = 1);P: Point;x1: Number;y1: Number;Coordinate(P) = (x1, y1);PointOnCurve(P, G);Distance(P, OneOf(Focus(G))) = 9",
+      "coords": {}
+    },
+    {
+      "index": 2039,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2040,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2040.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/2 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2041,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2041.png",
+      "answer": "-1",
+      "fact_expr": "G: Hyperbola;H: Circle;P: Point;F1: Point;M: Point;N: Point;O: Origin;Expression(G) = (x^2/16 - y^2/25 = 1);Expression(H) = (x^2 + y^2 = 16);LeftFocus(G) = F1;PointOnCurve(P, RightPart(G));TangentPoint(LineSegmentOf(P, F1), H) = N;MidPoint(LineSegmentOf(P, F1)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2042,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2043,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2043.png",
+      "answer": "[1/2,1)",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;A: Point;P: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;Intersection(RightDirectrix(G), xAxis) = A;PointOnCurve(P,G);PointOnCurve(F,PerpendicularBisector(LineSegmentOf(A,P)))",
+      "coords": {}
+    },
+    {
+      "index": 2044,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2044.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;m: Number;P: Point;m>0;Expression(C) = (x^2 = m*y);PointOnCurve(P, C);Distance(P, Focus(C)) = 1;Distance(P, xAxis) = 3/4",
+      "coords": {}
+    },
+    {
+      "index": 2045,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2045.png",
+      "answer": "2*sqrt(15)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 2);k: Number;G: Parabola;Expression(G) = (y^2 = 8*x);Intersection(H, G) = {A, B};A: Point;B: Point;XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2;IsChordOf(LineSegmentOf(A, B), G) = True",
+      "coords": {}
+    },
+    {
+      "index": 2046,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2046.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;Expression(l) = (y = x - 1);C: Parabola;Expression(C) = (y^2 = 4*x);Intersection(l, C) = {A, B};A: Point;B: Point;M: Point;MidPoint(LineSegmentOf(A, B)) = M;Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = N;N: Point;Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 2047,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2047.png",
+      "answer": "9/32",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);H: LineSegment;IsChordOf(H, G);M: Point;Coordinate(M) = (-1, 2);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2048,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_2048.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, -3);PointOnCurve(P, G);Focus(G)={F1, F2} ;Distance(F1, F2) = 4",
+      "coords": {
+        "P": [
+          2.0,
+          -3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2049,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2049.png",
+      "answer": "y=pm*(1/2)*x",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;Distance(F, OneOf(Asymptote(C))) = a/2",
+      "coords": {}
+    },
+    {
+      "index": 2050,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2050.png",
+      "answer": "(2*sqrt(5))/5",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;Expression(G) = (x^2/8 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2051,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2051.png",
+      "answer": "[-1, 3]",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;Z: Line;PointOnCurve(F, Z);Slope(Z) = 1;A: Point;B: Point;Intersection(Z, C) = {A, B};E: Circle;IsDiameter(LineSegmentOf(A, B), E);P: Point;Q: Point;PointOnCurve(P, E);PointOnCurve(Q, E);U: Circle;IsDiameter(LineSegmentOf(P, Q), U);D: Point;t: Real;Coordinate(D) = (-2, t);PointOnCurve(D, U)",
+      "coords": {}
+    },
+    {
+      "index": 2052,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2053,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2053.png",
+      "answer": "pm*2*sqrt(6)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);Intersection(l, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, F)) = (3/2)*Abs(LineSegmentOf(B, F));k: Number;Slope(l) = k",
+      "coords": {}
+    },
+    {
+      "index": 2054,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2054.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "F: Point;P: Point;G: Hyperbola;a: Number;b: Number;H: Circle;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2);RightFocus(G) = F;TangentOfPoint(F, H) = LineOf(F, M);TangentPoint(LineOf(F,M),H)= M ;Intersection(LineOf(F, M), yAxis) = P;MidPoint(LineSegmentOf(F, P)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2055,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2055.png",
+      "answer": "24",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/24 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, LeftPart(G));Abs(LineSegmentOf(P, F1)) = (3/5)*Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2056,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2057,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2058,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2058.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;B: Point;F: Point;P: Point;Q: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);Intersection(l, C) = {A, B};L1: Line;L2: Line;Z: Line;Directrix(C) = Z;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(Z,L1);IsPerpendicular(Z,L2);FootPoint(Z,L1) = P;FootPoint(Z,L2) = Q;Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 2059,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2059.png",
+      "answer": "x^2/16 - y^2/9 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Slope(OneOf(Asymptote(C))) = 3/4;FocalLength(C) = 10",
+      "coords": {}
+    },
+    {
+      "index": 2060,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2061,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2061.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;H: Parabola;P: Point;F: Point;A: Point;Expression(H) = (y = x^2/4);Intersection(SymmetryAxis(H),Directrix(H))=A;Focus(H) = F;PointOnCurve(P, H);Abs(LineSegmentOf(P, F)) = m*Abs(LineSegmentOf(P, A));WhenMin(m);m:Number;Focus(G)={A,F};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2062,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2062.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (y^2 + (x - 3)^2 = 16);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 2063,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2063.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Parabola;p: Number;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Intersection(Directrix(G), xAxis) = M;PointOnCurve(N, G);Abs(LineSegmentOf(M, N)) = 2*Abs(LineSegmentOf(N, F))",
+      "coords": {}
+    },
+    {
+      "index": 2064,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2064.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/25 = 1);Focus(G) = {F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2065,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2065.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;F: Point;A: Point;B: Point;C: Point;Expression(G) = (x^2 = 8*y);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2066,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2066.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;M: Point;P: Point;F: Point;Expression(C) = (x^2 = 8*y);Coordinate(M) = (-4, 3);Focus(C) = F;PointOnCurve(P, C)",
+      "coords": {
+        "M": [
+          -4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 2067,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2067.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/b^2 = 1);b: Number;P: Point;B: Point;A: Point;b>0;LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(P, C);AngleOf(P, B, A) = pi/2 + AngleOf(P, A, B)",
+      "coords": {}
+    },
+    {
+      "index": 2068,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2068.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Z1: Circle;Z2: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(Z1) = (y^2 + (x + 5)^2 = 4);Expression(Z2) = (y^2 + (x - 5)^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, Z1);PointOnCurve(N, Z2)",
+      "coords": {}
+    },
+    {
+      "index": 2069,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2069.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 2070,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2070.png",
+      "answer": "x^2/8+y^2/4=1",
+      "fact_expr": "M: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);Length(MajorAxis(M))=4*sqrt(2);G:Ellipse;Expression(G)=(y^2/4 + x^2/2= 1);Eccentricity(M)=Eccentricity(G)",
+      "coords": {}
+    },
+    {
+      "index": 2071,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2071.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;k: Number;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x - 2);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2072,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2073,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2073.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + (y - 2*sqrt(3))^2 = 4);Intersection(OneOf(Asymptote(C)),G) = {A, B};Abs(LineSegmentOf(A, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2074,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2075,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2075.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 2076,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2076.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;a: Number;O: Origin;A: Point;B: Point;F: Point;Expression(C) = (-y^2/4 + x^2/a^2 = 1);RightFocus(C) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, xAxis);L1: Line;L2: Line;Asymptote(C) = {L1, L2};Intersection(L, L1) = A;Intersection(L, L2) = B",
+      "coords": {}
+    },
+    {
+      "index": 2077,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2077.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = (sqrt(3)/2)",
+      "coords": {}
+    },
+    {
+      "index": 2078,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.242640687119285,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2078.png",
+      "answer": "9",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/16 - y^2/18 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);Q: Point;VectorOf(F1, Q) = VectorOf(Q, P);O: Origin;Abs(LineSegmentOf(P, F1)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 2079,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2079.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2080,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2080.png",
+      "answer": "pm*2*sqrt(5)/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l) = True;l: Line;H: Circle;Expression(H) = (y^2 + (x - 4)^2 = 4);IsTangent(l, H) = True",
+      "coords": {}
+    },
+    {
+      "index": 2081,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2081.png",
+      "answer": "sqrt(26)-1",
+      "fact_expr": "G: Parabola;H: Circle;I: Line;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Expression(H) = ((x - 2)^2 + (y - 5)^2 = 1);Expression(I) = (x = -1);PointOnCurve(P, H);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 2082,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2083,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_2083.png",
+      "answer": "-4",
+      "fact_expr": "C: Parabola;p: Number;H: Line;A: Point;P: Point;B: Point;Q: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(A) = (1, 2);Coordinate(B) = (2,-2);PointOnCurve(A, C);PointOnCurve(B, H);Intersection(H, C) = {P, Q};k1:Number;k2:Number;Slope(LineOf(A,P))=k1;Slope(LineOf(A,Q))=k2",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ],
+        "B": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 2084,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2084.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "E: Ellipse;A: Point;B: Point;M: Point;a:Number;b:Number;a>b;b>0;Coordinate(M) = (2, 1);Expression(E) = (y^2/b^2 + x^2/a^2 = 1);IsChordOf(LineSegmentOf(A,B),E);Inclination(LineSegmentOf(A,B))=ApplyUnit(135,degree);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2085,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2085.png",
+      "answer": "-1",
+      "fact_expr": "G: Hyperbola;H: Circle;P: Point;F1: Point;M: Point;N: Point;O: Origin;Expression(G) = (x^2/16 - y^2/25 = 1);Expression(H) = (x^2 + y^2 = 16);LeftFocus(G) = F1;PointOnCurve(P, RightPart(G));TangentPoint(LineSegmentOf(P,F1),H)=N;MidPoint(LineSegmentOf(P,F1))=M",
+      "coords": {}
+    },
+    {
+      "index": 2086,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2087,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2087.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x)",
+      "coords": {}
+    },
+    {
+      "index": 2088,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2089,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2089.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C)=F;PointOnCurve(F,l);Intersection(l,C)={A,B};Quadrant(A)=1;Quadrant(B)=4;Abs(LineSegmentOf(A,F))=3*Abs(LineSegmentOf(F,B))",
+      "coords": {}
+    },
+    {
+      "index": 2090,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2090.png",
+      "answer": "[\\sqrt{2}, +\\infty)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;G: Line;PointOnCurve(F, G);Inclination(G) = ApplyUnit(45, degree);NumIntersection(G, RightPart(C)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2091,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2092,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2092.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Quadrant(A) = 1;Quadrant(B) = 4;VectorOf(A, F) = 4*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 2093,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2093.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (y^2 = -6*x);OneOf(Directrix(G)) = Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 2094,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2094.png",
+      "answer": "(1, \\sqrt{5})",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Line;PointOnCurve(RightVertex(G), H);Slope(H) = 2;NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2095,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2095.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};LineSegmentOf(A, F)/LineSegmentOf(B, F) = 4;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2096,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2096.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;F: Point;B: Point;A: Point;p>0;Expression(C) = (y^2 = 2*p*x);PointOnCurve(A, Directrix(C));Focus(C) = F;PointOnCurve(A,C);IsPerpendicular(G,Directrix(C));FootPoint(G,Directrix(C))=B;Inclination(LineOf(F,B))=ApplyUnit(150, degree);Area(TriangleOf(F, A, B)) = sqrt(3)/18",
+      "coords": {}
+    },
+    {
+      "index": 2097,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2098,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2098.png",
+      "answer": "3*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);Abs(VectorOf(A, B)) = 6;DotProduct(VectorOf(A, F), VectorOf(B, F)) = 0;M: Point;MidPoint(LineSegmentOf(A, B)) = M;N: Point;Projection(M, Directrix(G)) = N",
+      "coords": {}
+    },
+    {
+      "index": 2099,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2099.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);XCoordinate(P) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 2100,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2100.png",
+      "answer": "y=2*x-1",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);l: Line;PointOnCurve(Focus(C), l);A: Point;B: Point;Intersection(l, C) = {A, B};G: Circle;IsDiameter(LineSegmentOf(A, B), G);M: Point;Coordinate(M) = (-1/2, 1/2);TangentPoint(G, Directrix(C)) = M",
+      "coords": {
+        "M": [
+          -0.5,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 2101,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2101.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F: Point;UpperFocus(G) = F;B1: Point;B2: Point;LeftVertex(G) = B1;RightVertex(G) = B2;A: Point;LowerVertex(G) = A;P: Point;Intersection(LineOf(A, B2), LineOf(B1, F)) = P;VectorOf(A, P) = 2*VectorOf(A, B2)",
+      "coords": {}
+    },
+    {
+      "index": 2102,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2102.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2103,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2103.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Parabola;Q: Point;P: Point;F: Point;Expression(C) = (x^2 = 4*y);Coordinate(Q) = (0, -1);Focus(C)=F;PointOnCurve(P, C)",
+      "coords": {
+        "Q": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 2104,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2104.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;e: Number;Eccentricity(G) = e;e = sqrt(3)/2;A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);Negation(P=A);Negation(P=B);alpha: Number;beta: Number;Inclination(LineOf(P, A)) = alpha;Inclination(LineOf(P, B)) = beta",
+      "coords": {}
+    },
+    {
+      "index": 2105,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2105.png",
+      "answer": "2*x+y+1=0",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);H: Point;Coordinate(H) = (-1, 1)",
+      "coords": {
+        "H": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2106,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2106.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(Center(G), H);Intersection(H, G) = {A, B};RightFocus(G) = F1",
+      "coords": {}
+    },
+    {
+      "index": 2107,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2107.png",
+      "answer": "5*x^2/32-5*y^2/18=1",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (3*x + pm*4*y = 0);H: Ellipse;Expression(H) = (x^2/10 + y^2/5 = 1);Focus(G) = Endpoint(MajorAxis(H))",
+      "coords": {}
+    },
+    {
+      "index": 2108,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2108.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 1);PointOnCurve(P, Asymptote(C))",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2109,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2109.png",
+      "answer": "pm*4",
+      "fact_expr": "G: Parabola;Vertex(G) = O;O: Origin;PointOnCurve(Focus(G), yAxis);P: Point;Coordinate(P) = (m, -2);m: Real;PointOnCurve(P, G);Distance(P, Focus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2110,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2110.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;M: Point;l:Line;M1:Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B, G);AngleOf(A, F, B) = ApplyUnit(120, degree);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M;Directrix(G)=l;L:Line;PointOnCurve(M,L);IsPerpendicular(l,L);FootPoint(l,L)=M1",
+      "coords": {}
+    },
+    {
+      "index": 2111,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2111.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);P: Point;PointOnCurve(P, G);M: Point;Coordinate(M) = (3, 0)",
+      "coords": {
+        "M": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2112,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2112.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Ellipse;F1: Point;P: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 2113,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2113.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "M: Ellipse;b: Number;a: Number;N: Circle;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);Expression(N) = (x^2 + y^2 = b^2);PointOnCurve(Focus(M), N)",
+      "coords": {}
+    },
+    {
+      "index": 2114,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "y",
+        "x_coef": 16.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2114.png",
+      "answer": "y^2/36 - x^2/12 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (4*x^2 + y^2 = 64);Focus(G) = Focus(H);InterReciprocal(Eccentricity(G), Eccentricity(H))",
+      "coords": {}
+    },
+    {
+      "index": 2115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2115.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;C: Circle;a: Real;l: Line;Expression(G) = (y^2 = 4*x);Expression(C) = (-2*sqrt(3)*y + 2*a*x + x^2 + y^2 = 0);IsTangent(l,C);Directrix(G)=l",
+      "coords": {}
+    },
+    {
+      "index": 2116,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2116.png",
+      "answer": "2*sqrt(7)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Number;H: Parabola;Expression(H) = (y^2 = 16*x);Focus(H)=OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 2117,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2117.png",
+      "answer": "16*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1) ;LeftFocus(G) = F1;RightFocus(G) = F2;F1: Point;F2: Point;P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 64;Area(TriangleOf(P, F1, F2)) = S;S: Number",
+      "coords": {}
+    },
+    {
+      "index": 2118,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2118.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2/12 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 2119,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2119.png",
+      "answer": "x+4*y-5=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/4 = 1);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);M: Point;Coordinate(M) = (1, 1);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2120,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2120.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;Q: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Slope(l)>0;PointOnCurve(F,l);Intersection(l,C)={A,B};Intersection(l,Directrix(C))=Q;VectorOf(A, B) = VectorOf(B, Q)",
+      "coords": {}
+    },
+    {
+      "index": 2121,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2122,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2122.png",
+      "answer": "sqrt(10)/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;O: Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(VectorOf(P, F1)) = 3*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2123,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2123.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;a: Number;a>0;Expression(G) = (y^2/3 + x^2/a^2 = 1);Expression(OneOf(Directrix(G))) = (x = 4)",
+      "coords": {}
+    },
+    {
+      "index": 2124,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2124.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;L: Line;M: Point;N: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G),L);IsPerpendicular(L,xAxis);Intersection(L,G) = {M, N};IsDiameter(LineSegmentOf(M,N),H);PointOnCurve(LeftFocus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 2125,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2125.png",
+      "answer": "x + 2*y - 4 = 0",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(P) = (1, 3/2);PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          1.0,
+          1.5
+        ]
+      }
+    },
+    {
+      "index": 2126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2127,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2127.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "M: Point;N: Point;G: Line;a: Number;H: Curve;C:Curve;Expression(G) = (y = a);Expression(H) = (y^2 = x);Expression(C) = (y = e^x);Intersection(G, H) = M;Intersection(G, C) = N;WhenMin(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 2128,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2128.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2129,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2130,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2130.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 2*y^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 2131,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2132,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2133,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2133.png",
+      "answer": "32/2",
+      "fact_expr": "l: Line;C: Parabola;A: Point;M: Point;B: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Intersection(l, Directrix(C)) = M;MidPoint(LineSegmentOf(A, M)) = F",
+      "coords": {}
+    },
+    {
+      "index": 2134,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2134.png",
+      "answer": "pm*sqrt(2)",
+      "fact_expr": "F1: Point;LeftFocus(C) = F1;C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);l: Line;PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, C) = {A, B};VectorOf(B, F1) = 3*VectorOf(F1, A)",
+      "coords": {}
+    },
+    {
+      "index": 2135,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2135.png",
+      "answer": "[13/12, +oo)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;B: Point;C: Point;D: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G), H);IsPerpendicular(H,xAxis);Intersection(H, G) = {A, B};Intersection(H,Asymptote(G))={C,D};Abs(LineSegmentOf(A, B)) >= (5/13)*Abs(LineSegmentOf(C, D))",
+      "coords": {}
+    },
+    {
+      "index": 2136,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2136.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/4 + y^2/3 = 1);Intersection(H,OneOf(Asymptote(G)))=P;XCoordinate(P) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2137,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2137.png",
+      "answer": "sqrt(30)/3",
+      "fact_expr": "G: Ellipse;H: Point;Expression(G) = (x^2 + 2*y^2 = 4);Coordinate(H) = (1, 1);L: LineSegment;IsChordOf(L, G);MidPoint(L) = H",
+      "coords": {
+        "H": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2138,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2138.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Parabola;M: Point;F: Point;l: Line;K: Point;Z: Line;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Focus(G) = F;LineSegmentOf(M, F) = 4;PointOnCurve(M, Z);Directrix(G) = l;IsPerpendicular(Z, l);FootPoint(Z, l) = K",
+      "coords": {}
+    },
+    {
+      "index": 2139,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2140,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2140.png",
+      "answer": "sqrt(19)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;O: Origin;C: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 2*b);Intersection(H,LeftPart(G))=B;Intersection(H,RightPart(G))=C;RightVertex(G)=A;AngleOf(A, O, C) = AngleOf(B, O, C)",
+      "coords": {}
+    },
+    {
+      "index": 2141,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2141.png",
+      "answer": "{5, 3}",
+      "fact_expr": "E: Ellipse;m: Number;Expression(E) = (y^2/4 + x^2/m = 1);FocalLength(E) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2142,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2142.png",
+      "answer": "17/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2);l: Line;PointOnCurve(Focus(G), l);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(l, G) = {A, B};y1 + y2 = 2",
+      "coords": {}
+    },
+    {
+      "index": 2143,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2143.png",
+      "answer": "x^2/10 - y^2/5 = 1",
+      "fact_expr": "G: Hyperbola;C: Hyperbola;H: Point;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(H) = (4, sqrt(3));PointOnCurve(H, C);Asymptote(C)=Asymptote(G)",
+      "coords": {
+        "H": [
+          4.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 2144,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2144.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;Q: Point;P: Point;Expression(C) = (y^2 = 8*x);Coordinate(Q) = (1, 0);PointOnCurve(P, C)",
+      "coords": {
+        "Q": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2145,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_2145.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/(a + 3)^2 + x^2/a^2 = 1);a: Number;a>0;Expression(Asymptote(G)) = (y = pm*2*x)",
+      "coords": {}
+    },
+    {
+      "index": 2146,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2146.png",
+      "answer": "10*sqrt(2)",
+      "fact_expr": "G: Hyperbola;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/5 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, G);Perimeter(TriangleOf(M, F1, F2)) = 20",
+      "coords": {}
+    },
+    {
+      "index": 2147,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2147.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;Negation(M = Endpoint(MajorAxis(G)));PointOnCurve(M, G);I: Point;Incenter(TriangleOf(M, F1, F2)) = I",
+      "coords": {}
+    },
+    {
+      "index": 2148,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2148.png",
+      "answer": "(2,2)",
+      "fact_expr": "C: Parabola;p: Number;A: Point;p>0;Expression(C) = (y^2 = 2*p*x);Expression(Directrix(C)) = (x = -1/2);PointOnCurve(A,C);Quadrant(A)=1;Distance(A, Focus(C)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 2149,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2149.png",
+      "answer": "-3/4",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A:Point;B: Point;Expression(G) = (y^2 = 2*x);Intersection(G, H) = {A,B};PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 2150,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2150.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (-1, 1);PointOnCurve(Focus(C), G);Intersection(G, C) = {A, B};AngleOf(A, M, B) = ApplyUnit(90, degree);IsChordOf(LineSegmentOf(A,B),C)",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2151,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2152,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2152.png",
+      "answer": "y = pm*(sqrt(3)/3)*x",
+      "fact_expr": "C: Hyperbola;a: Number;G: Circle;a>0;Expression(C) = (-y^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 1);IsTangent(G, Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 2153,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2154,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2154.png",
+      "answer": "-3/4",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 2*x);PointOnCurve(Focus(G),H);Intersection(G, H) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2155,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2155.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);Directrix(H) = OneOf(Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 2156,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2156.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;N: Point;x0: Number;y0: Number;Coordinate(N) = (2*sqrt(3), 0);Coordinate(M) = (x0, y0);Expression(G) = (y = x^2/8);PointOnCurve(M, G)",
+      "coords": {
+        "N": [
+          3.4641016151377544,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2157,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2158,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.043849229812622,
+        "b": 1.7850669475408654,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.888911938768068e-06,
+        "converged": true,
+        "iterations": 97
+      },
+      "output_path": "results/train/ellipse/problem_2158.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;m: Number;H: Point;Expression(G) = (x^2/9 + y^2/m = 1);Coordinate(H) = (sqrt(3), sqrt(2));PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.7320508075688772,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2159,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2159.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/b^2 = 1);b: Number;0 < b;b < 2;F: Point;LeftFocus(C) = F;M: Point;PointOnCurve(M, C) = True;N: Point;Coordinate(N) = (0, sqrt(3));Max(Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(M, N))) = 6",
+      "coords": {
+        "N": [
+          0.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 2160,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2160.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;c: Number;D: Circle;F: Point;E: Point;O: Origin;P: Point;l1:Line;b > a;a > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*c*x);Expression(D) = (x^2 + y^2 = a^2);Coordinate(F) = (-c, 0);LeftFocus(G)=F;TangentOfPoint(F,D)=l1;TangentPoint(l1,D)=E;Intersection(OverlappingLine(LineSegmentOf(F,E)),H)=P;c>0;VectorOf(O,E)=(VectorOf(O,F)+VectorOf(O,P))/2",
+      "coords": {}
+    },
+    {
+      "index": 2161,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_2161.png",
+      "answer": "(pm*5,0)\nx^2/5-y^2/20=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/49 + y^2/24 = 1);Expression(Asymptote(G)) = (y = pm*2*x);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2162,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2163,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2163.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (x^2 = 8*y);Expression(H) = (x - sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 2164,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2164.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (y^2/3 + x^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = (1/2)",
+      "coords": {}
+    },
+    {
+      "index": 2165,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2165.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G) = True;H: Line;Expression(H) = (x = -1);Q: Point;Coordinate(Q) = (2, 2)",
+      "coords": {
+        "Q": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2166,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2167,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2167.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (y^2/3 - x^2/m = 1);Expression(H) = (y = x^2/16);Focus(H) = UpperFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2168,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2168.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line ;H:LineSegment;G: Hyperbola;A: Point;Coordinate(A) = (2, 1);Expression(G) = (x^2 - y^2/3 = 1);IsChordOf(H, G);MidPoint(H) = A;OverlappingLine(H,l)",
+      "coords": {
+        "A": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2169,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2169.png",
+      "answer": "{x^2/8+y^2/6=1,3*y^2/25+4*y^2/25=1}",
+      "fact_expr": "G: Ellipse;H: Point;C:Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(H) = (2, -sqrt(3));Eccentricity(G)=Eccentricity(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          2.0,
+          -1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 2170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2170.png",
+      "answer": "10",
+      "fact_expr": "l: Line;G: Hyperbola;B: Point;F2: Point;A: Point;F1: Point;Expression(G) = (x^2/4 - y^2/2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, LeftPart(G)) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2171,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2171.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2172,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2172.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2173,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2173.png",
+      "answer": "(4/7,1/7)",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;B: Point;Expression(G) = (x^2/8 - y^2/4 = 1);Expression(H) = (y = 2*x - 1);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 2174,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2174.png",
+      "answer": "10*sqrt(3)",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;a: Number;L: Line;A: Point;O: Origin;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;PointOnCurve(F, l);Slope(l) = 1;Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 8;IsTangent(L,G);PointOnCurve(A,L);Slope(L)=k1;k1:Number;Slope(LineOf(O,A))=k2;k2:Number;k1*k2=-1/4",
+      "coords": {}
+    },
+    {
+      "index": 2175,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2175.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F2: Point;M: Point;O: Origin;N: Point;L1:Line;L2:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F2;PointOnCurve(M,L1);PointOnCurve(N,L1);IsParallel(LineOf(F2,M),L2);IsPerpendicular(LineSegmentOf(O, F2), LineSegmentOf(F2, N));Abs(LineSegmentOf(F2, M)) = (sqrt(3)/2)*Abs(LineSegmentOf(F2, N));OneOf(Asymptote(G)) = L1;OneOf(Asymptote(G)) = L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 2176,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2177,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2177.png",
+      "answer": "(1/2,1)",
+      "fact_expr": "C: Ellipse;G: Line;B: Point;A: Point;M: Point;F: Point;N:Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C)=F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Intersection(PerpendicularBisector(LineSegmentOf(A,B)),xAxis)=M;Intersection(PerpendicularBisector(LineSegmentOf(A,B)),yAxis)=N",
+      "coords": {}
+    },
+    {
+      "index": 2178,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2178.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2179,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2179.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Coordinate(F) = (2, 0);Focus(G) = F;A: Point;Coordinate(A) = (3, 2);L: Line;PointOnCurve(A,L);IsPerpendicular(L, Directrix(G));E: Point;Intersection(L, G) = E",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ],
+        "A": [
+          3.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2180,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2180.png",
+      "answer": "24",
+      "fact_expr": "A: Point;B: Point;G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);LeftFocus(G) = A;RightFocus(G) = B;C: Point;PointOnCurve(C, G) = True;Cos(AngleOf(A, C, B)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 2181,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2181.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;O: Origin;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);Center(G) = O;RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2182,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2183,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_2183.png",
+      "answer": "(8/3)*sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Length(RealAxis(C)) = 4;Eccentricity(C) = sqrt(3);P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2184,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2184.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "Gamma: Ellipse;Expression(Gamma) = (y^2 + x^2/a^2 = 1);a: Number;a>1;LeftVertex(Gamma) = A;A: Point;PointOnCurve(A, l);l: Line;Intersection(l, Gamma) = {A,B};B: Point;Intersection(l, yAxis) = C;C: Point;Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, C));Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(B, C));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2185,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2186,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2186.png",
+      "answer": "sqrt(10)/3",
+      "fact_expr": "l: Line;C: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Expression(l)=(3*x-y+10=0);IsParallel(OneOf(Asymptote(C)),l)",
+      "coords": {}
+    },
+    {
+      "index": 2187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2187.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Point;PointOnCurve(H, G);L1: Line;L2: Line;Asymptote(G) = {L1, L2};Distance(H, L1)*Distance(H, L2) = 3/4;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2188,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2188.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, xAxis);G: Line;Expression(G) = (y = m + 2*x);m: Number;Negation(m=0);PointOnCurve(P, G);NumIntersection(G, C) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2189,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2189.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = -2*x);Focus(G) = F;Slope(H) = sqrt(3);PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2190,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2190.png",
+      "answer": "(-3/2, 1)",
+      "fact_expr": "C: Ellipse;P: Point;Q: Point;F: Point;Expression(C) = (x^2/3 + y^2/4 = 1);Coordinate(Q) = (1, 1);LowerFocus(C)=F;PointOnCurve(P, C);WhenMax(Abs(LineSegmentOf(P,Q))+Abs(LineSegmentOf(P,F)))",
+      "coords": {
+        "Q": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2191,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2191.png",
+      "answer": "2/5",
+      "fact_expr": "G: Parabola;H: Line;m: Number;Expression(G) = (x^2 = -10*y);Expression(H) = (2*(m*x) + m*y + 1 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 2192,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2192.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;L: Line;PointOnCurve(F2, L) = True;IsPerpendicular(L, xAxis) = True;Intersection(L, C) = {A, B};A: Point;B: Point;Intersection(LineSegmentOf(F1, B), yAxis) = D;D: Point;IsPerpendicular(LineSegmentOf(A, D), LineSegmentOf(F1, B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 2193,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2193.png",
+      "answer": "sqrt(3) + 1",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsDiameter(LineSegmentOf(F1, F2), H);OneOf(Intersection(H, RightPart(G))) = P;AngleOf(P, F2, F1) = 2*AngleOf(P, F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 2194,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2194.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;PointOnCurve(A, G);F: Point;Focus(G) = F;Distance(A, F) = 5;O: Origin;Distance(A, O) = Abs(LineSegmentOf(O, A))",
+      "coords": {}
+    },
+    {
+      "index": 2195,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2195.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;B: Point;Intersection(LeftDirectrix(G), xAxis) = B;A: Point;Coordinate(A) = (0, b);P: Point;VectorOf(A, P) = 2*VectorOf(A, B);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2196,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2196.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;k:Number;Expression(C) = (y^2 = 12*x);k>0;Expression(G) = (y = k*(x + 3));Intersection(G, C) = {A, B};Focus(C) = F;Abs(LineSegmentOf(F, A)) = 3*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 2197,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2197.png",
+      "answer": "(1, 3]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, LeftPart(G));Abs(LineSegmentOf(P, F2))^2/Abs(LineSegmentOf(P, F1))^2 = 8*a",
+      "coords": {}
+    },
+    {
+      "index": 2198,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2198.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2199,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2199.png",
+      "answer": "y^2=20*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);H: Parabola;RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2200,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2200.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;b: Number;a: Number;a>b;b>0;e1:Number;e2:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C)=(x^2/a^2-y^2/b^2=-1);Eccentricity(G)=e1;Eccentricity(C)=e2",
+      "coords": {}
+    },
+    {
+      "index": 2201,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2201.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = (2*sqrt(3))/3",
+      "coords": {}
+    },
+    {
+      "index": 2202,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2202.png",
+      "answer": "6*x+3*y+4=0",
+      "fact_expr": "G: Parabola;H: Circle;A: Point;B: Point;C: Point;Expression(G) = (x^2 = 2*y);Expression(H) = (x^2 + (y - 2)^2 = 1);Coordinate(A) = (2, 2);PointOnCurve(A,LineOf(A,B));PointOnCurve(A,LineOf(A,C));IsTangent(LineOf(A,B),H);IsTangent(LineOf(A,C),H);Intersection(LineOf(A,C),G)={B,C}",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2203,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2204,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2205,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2205.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;C: Parabola;p: Number;Expression(G) = (x^2/6 - y^2/3 = 1);Expression(C) = (y^2 = 2*p*x);Focus(C) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2206,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2206.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 16*x);PointOnCurve(P, G);Distance(P, xAxis) = 12;Focus(G)=F;Distance(P,F)=Abs(LineSegmentOf(P,F))",
+      "coords": {}
+    },
+    {
+      "index": 2207,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2208,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -4.0,
+          0.0
+        ],
+        "radius": 1.4142135623730951
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2208.png",
+      "answer": "{(x^2/2 - y^2/14 = 1) & (x >= sqrt(2))}",
+      "fact_expr": "M: Circle;A:Circle;B:Circle;Expression(A)=((x+4)^2+y^2=2);Expression(B)=((x-4)^2+y^2=2);IsOutTangent(M,A);IsInTangent(M,B);M1:Point;Center(M)=M1",
+      "coords": {}
+    },
+    {
+      "index": 2209,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_2209.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Coordinate(Focus(G)) = (pm*4, 0);Expression(OneOf(Asymptote(G)))=(y=sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 2210,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2210.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/4 = 1);Z: Line;Expression(Z) = (x + 2*y - sqrt(2) = 0);K: Point;PointOnCurve(K, G)",
+      "coords": {}
+    },
+    {
+      "index": 2211,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2211.png",
+      "answer": "3/2",
+      "fact_expr": "C: Parabola;F: Point;M: Point;N: Point;Expression(C) = (y^2 = 2*x);Focus(C) = F;PointOnCurve(M, C);Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;MidPoint(LineSegmentOf(F, N)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2212,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2212.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2213,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2214,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2214.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;OneOf(Focus(G)) = F1;P: Point;PointOnCurve(P, G) = True;H: Circle;IsDiameter(MinorAxis(G),H) ;TangentPoint(H,LineSegmentOf(P,F1)) = MidPoint(LineSegmentOf(P,F1))",
+      "coords": {}
+    },
+    {
+      "index": 2215,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2215.png",
+      "answer": "5",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2216,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2216.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;I: Point;P: Point;F1: Point;F2: Point;D: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Focus(G) = {F1, F2};PointOnCurve(P,G);Negation(P=Endpoint(MajorAxis(G)));Incenter(TriangleOf(P, F1, F2)) = I;Intersection(LineOf(P,I), xAxis) = D",
+      "coords": {}
+    },
+    {
+      "index": 2217,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2217.png",
+      "answer": "2*sqrt(5)-2",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;A: Point;M: Point;N: Point;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/10 + y^2/6 = 1);Coordinate(A) = (4, 4);Focus(G) = RightFocus(H);PointOnCurve(M, G);Projection(M,yAxis)=N",
+      "coords": {
+        "A": [
+          4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 2218,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2219,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2220,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2220.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;Vertex(MinorAxis(E)) = {A, B};E: Ellipse;Expression(E) = (y^2 + x^2/m = 1);m: Number;m>1;P: Point;PointOnCurve(P, E);Negation(P = A);Negation(P = B);Slope(LineOf(A, P))*Slope(LineOf(B, P)) = -m/4",
+      "coords": {}
+    },
+    {
+      "index": 2221,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2222,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.552875593585339,
+        "b": 2.3303634978370953,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3057248743840209e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/train/hyperbola/problem_2222.png",
+      "answer": "sqrt(13)/3",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(3/2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 2223,
+      "success": false,
+      "error": "\n= 1 $ $ (a > b > 0) $, the length of the major axis is $ \\frac{3\n    ^\nParseException: Expected end of text, found '$'  (at char 4), (line:1, col:5)"
+    },
+    {
+      "index": 2224,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2225,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2225.png",
+      "answer": "x^2/16 - y^2/9 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F2: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F2) = (5, 0);e:Number;Eccentricity(C) = e;e = 5/4;RightFocus(C) = F2",
+      "coords": {
+        "F2": [
+          5.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2226,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2226.png",
+      "answer": "2*x+y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;M: Point;Expression(G) = (x^2/2 + y^2/4 = 1);Coordinate(M) = (1, 1);IsChordOf(H, G);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2227,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2227.png",
+      "answer": "4+sqrt(61)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2:Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Circle;Expression(H) = (x^2 + (y - 6)^2 = 4);A: Point;PointOnCurve(A, H);M: Point;PointOnCurve(M, RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 2228,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2228.png",
+      "answer": "-1/4",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;M: Point;P: Point;Q: Point;F: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O, l);Intersection(l, C) = {P, Q};PointOnCurve(M, C);Negation(M = P);Negation(M = Q);Slope(LineOf(M, P))=k1;Slope(LineOf(M, Q))=k2;k1*k2 = -5/9;Abs(LineSegmentOf(P, F)) = 2*Abs(LineSegmentOf(Q, F));k1:Number;k2:Number",
+      "coords": {}
+    },
+    {
+      "index": 2229,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2229.png",
+      "answer": "\\sqrt{21}/2",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Point;F: Point;A: Point;O: Origin;B: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(H) = (1, sqrt(2));Directrix(C) = l;Focus(C) = F;Center(G) = H;IsTangent(G, l);PointOnCurve(A, C);PointOnCurve(B, l);VectorOf(A, O) = 3*VectorOf(O, B);PointOnCurve(F, G)",
+      "coords": {
+        "H": [
+          1.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 2230,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2230.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;p: Number;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(M, G);XCoordinate(M)=3;Distance(M,Focus(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 2231,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2231.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "C: Ellipse;Center(C) = O;O: Origin;PointOnCurve(Focus(C), xAxis) = True;Eccentricity(C) = 1/2;G: Parabola;Expression(G) = (x^2 = 8*(sqrt(3)*y));OneOf(Vertex(C)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2232,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2232.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G)=(x^2/a-y^2/9=1);Inclination(OneOf(Asymptote(G)))=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 2233,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.4142164151010692,
+        "b": 1.4142164151010692,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.2160979279094996e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_2233.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;O: Origin;PointOnCurve(O, C);F1: Point;F2: Point;Coordinate(F1) = (-1, 0);Coordinate(F2) = (3, 0);Focus(C) = {F1, F2}",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2234,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_2234.png",
+      "answer": "1/4",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(A) = (1, 2);Coordinate(B) = (2, 0);Focus(C) = F;PointOnCurve(A,C);PointOnCurve(P,C)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ],
+        "B": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2235,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2235.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;a: Number;G: Parabola;a>0;Expression(C) = (-y^2 + x^2/a^2 = 1);Expression(G) = (y^2 = -8*x);Focus(G) = LeftFocus(C)",
+      "coords": {}
+    },
+    {
+      "index": 2236,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2237,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2237.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;C: Point;Expression(G) = (x^2/2 + y^2 = 1);Expression(l)=(x - y = 0);Intersection(l, G) = {A, B};PointOnCurve(C, G)",
+      "coords": {}
+    },
+    {
+      "index": 2238,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2238.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/100 + y^2/64 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2239,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2239.png",
+      "answer": "x+2*y-2=0",
+      "fact_expr": "l: Line;C: Ellipse;M: Point;A: Point;B: Point;F1: Point;Expression(C) = (x^2/9 + y^2/5 = 1);Coordinate(M) = (0, 1);PointOnCurve(M, l);LeftFocus(C)=F1;Intersection(l, C) = {A, B};WhenMax(Perimeter(TriangleOf(A,B,F1)))",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2240,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_2240.png",
+      "answer": "x^2+(y-3)^2=10",
+      "fact_expr": "C: Hyperbola;m: Number;P: Point;A: Point;B: Point;Expression(C) = (-y^2/2 + x^2/m = 1);Coordinate(P) = (3, 4);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(P, C)",
+      "coords": {
+        "P": [
+          3.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2241,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2241.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;m: Number;L: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (-y^2/7 + x^2/m = 1);LeftFocus(G) = F1;PointOnCurve(F1,L);Intersection(L,LeftPart(G))={A,B};Abs(LineSegmentOf(A, B)) = 4;RightFocus(G)=F2;Perimeter(TriangleOf(A, B, F2)) = 20",
+      "coords": {}
+    },
+    {
+      "index": 2242,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2242.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2)) = I;Area(TriangleOf(P,F1,F2))=3*Area(TriangleOf(I,F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 2243,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2243.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;k: Number;Expression(G) = (x^2 + y^2/k = 1);Coordinate(F)=(0,sqrt(2));F:Point;OneOf(Focus(G))=F",
+      "coords": {
+        "F": [
+          0.0,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2244,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2244.png",
+      "answer": "1/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/b^2 = 1);b: Number;2 > b;b > 0;H: Line;Expression(H) = (x + y = 1);Intersection(H, G) = {P, Q};P: Point;Q: Point;M: Point;MidPoint(LineSegmentOf(P, Q)) = M;O: Origin;IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(O, Q)) = True",
+      "coords": {}
+    },
+    {
+      "index": 2245,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2245.png",
+      "answer": "8*sqrt(7)/7",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);LeftFocus(G) = F1;RightFocus(G) = F2;I:Line;PointOnCurve(F1, I);Intersection(I, G) = {A, B};Area(InscribedCircle(TriangleOf(A,B,F2)))=pi",
+      "coords": {}
+    },
+    {
+      "index": 2246,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2247,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2247.png",
+      "answer": "(-4,0)+(0,4)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/m^2 = 1);PointOnCurve(Focus(G), xAxis);m:Number",
+      "coords": {}
+    },
+    {
+      "index": 2248,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2248.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Q: Point;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/2 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));PointOnCurve(Q, RightPart(G));PointOnCurve(F2, LineOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 2249,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2249.png",
+      "answer": "(3*x^2)/16+(3*y^2)/4=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(C) = F;Coordinate(F) = (2, 0);G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};Coordinate(MidPoint(LineSegmentOf(A, B))) = (1, 1/2)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2250,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2251,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2251.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) = True;P: Point;Coordinate(P) = (1, 1);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2252,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2253,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2253.png",
+      "answer": "2\nx = -1",
+      "fact_expr": "G: Parabola;p: Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(Focus(G)) = (1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 2254,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2255,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2255.png",
+      "answer": "4/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);Inclination(H) = pi/4;A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2256,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2256.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (y^2 = -4*x);PointOnCurve(A, G);Distance(A, Focus(G)) = 5;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 2257,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2258,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2258.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 1);k: Real;G: Hyperbola;Expression(G) = (x^2 - y^2 = 4);NumIntersection(H, G) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2259,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2260,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2260.png",
+      "answer": "2,6",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (4*x + x^2 + y^2 + 3 = 0);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 2261,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2262,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2262.png",
+      "answer": "(2,0)",
+      "fact_expr": "C:Circle;G: Parabola;Expression(G) = (y^2 = 8*x);PointOnCurve(Center(C),G);L: Line;Expression(L) = (x + 2 = 0);IsTangent(C,L);P:Point;PointOnCurve(P,C)",
+      "coords": {}
+    },
+    {
+      "index": 2263,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2263.png",
+      "answer": "(1+sqrt(13))/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;c: Number;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G);Slope(G) = sqrt(3);P: Point;Q: Point;Intersection(G, LeftPart(C)) = P;Intersection(G, RightPart(C)) = Q;LineSegmentOf(Q, P) = LineSegmentOf(Q, F2)",
+      "coords": {}
+    },
+    {
+      "index": 2264,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2264.png",
+      "answer": "x^2/9 - y^2 = 1",
+      "fact_expr": "C: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Focus(C) = {F1, F2};M: Point;PointOnCurve(M, C);Abs(LineSegmentOf(M, F1)) - Abs(LineSegmentOf(M, F2)) = 6",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2265,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2265.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;a: Real;Expression(G) = (y^2 = a*x);Coordinate(Focus(G)) = (2, 0)",
+      "coords": {}
+    },
+    {
+      "index": 2266,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2266.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Parabola;Expression(G) = (y^2 = 4*x);Focus(G) = F;F: Point;H: Line;Expression(H) = (x = -2);Z: Line;PointOnCurve(P, Z) ;IsPerpendicular(H, Z) ;FootPoint(H, Z) = M ;M: Point;Q: Point;PointOnCurve(Q, C) ;C: Circle;Expression(C) = ((x + 3)^2 + (y - 4)^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2267,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2268,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2269,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2269.png",
+      "answer": "(0, 1/2)",
+      "fact_expr": "l: Line;Expression(l) = (x=m*y+2);m: Number;C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};G: Line;O: Origin;PointOnCurve(O, G);IsChordOf(LineSegmentOf(A, B), C);D: Point;MidPoint(LineSegmentOf(A, B)) = D;PointOnCurve(D, G);E: Point;Intersection(G, C) = E;Negation(E=O)",
+      "coords": {}
+    },
+    {
+      "index": 2270,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          2.5
+        ],
+        "radius": 1.8027756377319946
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2270.png",
+      "answer": "y^2 - x^2/15 = 1",
+      "fact_expr": "G: Hyperbola;C: Circle;Expression(C) = (-5*y - 2*x + x^2 + y^2 + 4 = 0);P:Point;P1:Point;Intersection(axis,C)={P,P1};OneOf(Focus(G))=P;OneOf(Vertex(G))=P1",
+      "coords": {}
+    },
+    {
+      "index": 2271,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "y",
+        "x_coef": 6.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2271.png",
+      "answer": "x^2/3 + y^2/6 = 1",
+      "fact_expr": "G: Ellipse;A: Point;H:Ellipse;Expression(H) = (x^2/6 + y^2/9 = 1);Coordinate(A) = (-1, -2);PointOnCurve(A, G);Focus(G)=Focus(H)",
+      "coords": {
+        "A": [
+          -1.0,
+          -2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2272,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2273,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2273.png",
+      "answer": "(1, pm*3/2)",
+      "fact_expr": "C: Ellipse;P: Point;F: Point;Expression(C) = (x^2/4 + y^2/3 = 1);RightFocus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 2274,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2274.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);F: Point;LeftFocus(G) = F;M: Point;N: Point;PointOnCurve(F, LineOf(M, N));Intersection(LineOf(M, N), G) = {M, N};P: Point;Q: Point;O: Origin;PointOnCurve(O, LineOf(P, Q));IsParallel(LineOf(P, Q), LineSegmentOf(M, N));Intersection(LineSegmentOf(P, Q), G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 2275,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2275.png",
+      "answer": "{2*sqrt(3)/3, sqrt(3)}",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;B: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;L1: Line;L2: Line;L: Line;PointOnCurve(A, L);IsPerpendicular(L, L1);Intersection(L, L2) = B;Abs(LineSegmentOf(O, B)) = sqrt(3)*Abs(LineSegmentOf(O, A));OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 2276,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2276.png",
+      "answer": "2",
+      "fact_expr": "M: Point;N: Point;G: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, LineOf(M, N));Intersection(LineOf(M,N),RightPart(G))={M,N};Cos(AngleOf(F1, M, N)) = Cos(AngleOf(F1, F2, M));Abs(LineSegmentOf(F1, M))/Abs(LineSegmentOf(F1, N)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 2277,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2277.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Circle;F: Point;P: Point;T: Point;M: Point;O: Origin;l: Line;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (x^2 + y^2 = 9);LeftFocus(G) = F;TangentOfPoint(F, H) = l;TangentPoint(l, H) = T;Intersection(OverlappingLine(LineSegmentOf(F,T)),RightPart(G))=P;MidPoint(LineSegmentOf(F, P)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2278,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2278.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;PointOnCurve(P, G);Distance(P, yAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2279,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2280,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2280.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;Expression(H) = (y = x + 3);A: Point;PointOnCurve(A, G)",
+      "coords": {}
+    },
+    {
+      "index": 2281,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2281.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "M: Hyperbola;Expression(M) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Circle;Expression(G) = (x^2 + (-2*b + y)^2 = a^2);IsTangent(Asymptote(M), G)",
+      "coords": {}
+    },
+    {
+      "index": 2282,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2282.png",
+      "answer": "(\\sqrt{2}/2,1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;H: Line;A: Point;F: Point;B: Point;M: Point;N: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(O,H);Intersection(H,C)={A,B};MidPoint(LineSegmentOf(A,F))=M;MidPoint(LineSegmentOf(B,F))=N;IsDiameter(LineSegmentOf(M,N),G);PointOnCurve(O,G)",
+      "coords": {}
+    },
+    {
+      "index": 2283,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2284,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2284.png",
+      "answer": "2*pi/3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Focus(G) = F;x1:Number;y1:Number;x2:Number;y2:Number;PointOnCurve(A,G);PointOnCurve(B, G);x1 + x2 + 4 = (2*sqrt(3)/3)*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 2285,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2285.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;Expression(C) = (2*x^2 + y^2 = 2)",
+      "coords": {}
+    },
+    {
+      "index": 2286,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2286.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 3*y^2 = 3)",
+      "coords": {}
+    },
+    {
+      "index": 2287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2287.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;Expression(H) = (x = a^2/c);c: Number;P: Point;PointOnCurve(P, H);PointOnCurve(F2, PerpendicularBisector(LineSegmentOf(P, F1)))",
+      "coords": {}
+    },
+    {
+      "index": 2288,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2288.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;P: Point;PointOnCurve(P, G);Coordinate(P) = (2, m);m: Number;F: Point;Focus(G) = F;Distance(P, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2289,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2289.png",
+      "answer": "9*x + 4*y - 13 = 0",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/4 + y^2/9 = 1);Coordinate(M) = (1, 1);PointOnCurve(M, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2290,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2290.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C1:Parabola;C2:Hyperbola;a:Number;b:Number;p:Number;a>0;b>0;p>0;O:Origin;A:Point;Expression(C1)=(y^2=2*p*x);Expression(C2)=(x^2/a^2-y^2/b^2=1);Intersection(C1,OneOf(Asymptote(C2)))=A;Negation(A=O);Distance(A,Directrix(C1))=(3/2)*p",
+      "coords": {}
+    },
+    {
+      "index": 2291,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2292,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2292.png",
+      "answer": "sqrt(2)*2",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Distance(P,Directrix(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2293,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2293.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P0: Point;Expression(G) = (x^2 = y);Coordinate(A) = (0, -4);Coordinate(B)=(3, 2);PointOnCurve(P0, G)",
+      "coords": {
+        "A": [
+          0.0,
+          -4.0
+        ],
+        "B": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2294,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2294.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;M: Point;N: Point;P: Point;Expression(G) = (y = x^2/12);Coordinate(M) = (0, 3);Coordinate(N) = (4, 3);PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          0.0,
+          3.0
+        ],
+        "N": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 2295,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2295.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F2: Point;A: Point;B: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Slope(H) = 1/3;Intersection(H, l1)=A;Abs(LineSegmentOf(F2, A)) = Abs(LineSegmentOf(F2, B));l1:Line;l2:Line;Intersection(H, l2)=B;Asymptote(G)={l1,l2}",
+      "coords": {}
+    },
+    {
+      "index": 2296,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2296.png",
+      "answer": "(1/2,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 2297,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2297.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "G: Parabola;H: Ellipse;m: Number;n: Number;Expression(G) = (y^2 = 8*x);m>0;n>0;Expression(H) = (y^2/n^2 + x^2/m^2 = 1);RightFocus(H) = Focus(G);Eccentricity(H)=(1/2)",
+      "coords": {}
+    },
+    {
+      "index": 2298,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2298.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Number;FocalLength(G) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 2299,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.8284271247461903
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2299.png",
+      "answer": "x^2/8 + y^2/2 = 1",
+      "fact_expr": "G: Circle;P: Point;H: Point;L: Line;M: Point;Expression(G) = (x^2 + y^2 = 8);PointOnCurve(P, G);FootPoint(L, xAxis) = H;IsPerpendicular(L, xAxis);PointOnCurve(P, L);MidPoint(LineSegmentOf(P, H)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2300,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_2300.png",
+      "answer": "{0}",
+      "fact_expr": "Gamma: Hyperbola;H: Line;A: Point;B: Point;C: Point;m: Number;a: Number;b: Number;a > 0;b > 0;Expression(Gamma) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(Gamma) = A;IsParallel(H, xAxis);Intersection(H, Gamma) = {B, C};DotProduct(VectorOf(A, B), VectorOf(A, C)) = m;Eccentricity(Gamma) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 2301,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2301.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;O: Origin;M: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(F1, P)) = M;Abs(LineSegmentOf(O, M)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2302,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2302.png",
+      "answer": "8",
+      "fact_expr": "H: Line;Expression(H) = (y = k*(x - 1));G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};x1 + x2 = 6;k: Number",
+      "coords": {}
+    },
+    {
+      "index": 2303,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2304,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2304.png",
+      "answer": "1\n2",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);b: Number;a: Number;C2: Hyperbola;Expression(C2) = (x^2/4 - y^2/16 = 1);Asymptote(C1) = Asymptote(C2);F: Point;Coordinate(F) = (sqrt(5), 0);RightFocus(C1) = F",
+      "coords": {
+        "F": [
+          2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2305,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2305.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 8*x);IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Focus(G), LineSegmentOf(A, B));XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2306,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2306.png",
+      "answer": "20/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2307,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2308,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2308.png",
+      "answer": "81*pi/16",
+      "fact_expr": "G: Ellipse;H: Circle;L: Line;A: Point;B: Point;F: Point;Expression(G) = (x^2/16 + y^2/9 = 1);RightFocus(G) = F;PointOnCurve(F, L);IsPerpendicular(L,xAxis);Intersection(L, G) = {A, B};IsDiameter(LineSegmentOf(A,B),H)",
+      "coords": {}
+    },
+    {
+      "index": 2309,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2309.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;F: Point;B: Point;l1: Line;l2: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);OneOf(Focus(C)) = F;TangentOfPoint(F, G) = {l1, l2};TangentPoint(l1,G)=A;TangentPoint(l2,G)=B;AngleOf(A, F, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2310,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2310.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "E: Parabola;p: Number;p>0;Expression(E) = (y^2 = 2*(p*x));F: Point;Focus(E) = F;M: Point;PointOnCurve(M, E);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2311,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2311.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p<0;Expression(G) = (y^2 = p*x);Expression(H) = (y^2 + (x + 1)^2 = 1);Center(H)=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2312,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2312.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;M: Point;Intersection(Directrix(G), xAxis) = M;N: Point;PointOnCurve(N, G);Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 2313,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2314,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2314.png",
+      "answer": "x + 2*y - 8 = 0",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;P: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(P) = (4, 2);PointOnCurve(P, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2315,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2315.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;C: Circle;A: Point;B: Point;P: Point;Expression(C) = (y^2 + (x-2)^2 = 1);Expression(G) = (y^2 = 4*x);PointOnCurve(A, C);PointOnCurve(B, C);PointOnCurve(P, G);Abs(LineSegmentOf(A, B)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2316.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "l: Line;O: Origin;PointOnCurve(O, l);Negation(l = axis);C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;P: Point;Q: Point;Intersection(l, C) = {P, Q};B: Point;PointOnCurve(B, C);Negation(B = P);Negation(B = Q);Slope(LineOf(B, P)) * Slope(LineOf(B, Q)) = -1/4",
+      "coords": {}
+    },
+    {
+      "index": 2317,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2318,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2319,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2319.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2320,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2320.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G) = {B, A};x1+x2=6;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 2321,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2321.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;m: Number;P: Point;A: Point;B: Point;a>0;b>0;Negation(m=0);l1:Line;l2:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (m + x - 3*y = 0);Coordinate(P) = (m, 0);Asymptote(G)={l1,l2};Intersection(H,l1)=A;Intersection(H,l2)=B;Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 2322,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2323,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2323.png",
+      "answer": "5*x+9*y-14=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;I: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Coordinate(I) = (1, 1);IsChordOf(H,G);MidPoint(H)=I",
+      "coords": {
+        "I": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2324,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2325,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2325.png",
+      "answer": "(x+2)^2+y^2=16",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x);H:Circle;Center(H)=Focus(G);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 2326,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2327,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 2328,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2328.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;Coordinate(P) = (x0, y0);x0: Number;y0: Number;0 < x0^2/4 + y0^2/3;x0^2/4 + y0^2/3 < 1",
+      "coords": {}
+    },
+    {
+      "index": 2329,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2329.png",
+      "answer": "4*x^2-4*y^2=1",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);O: Origin;M: Point;MidPoint(LineSegmentOf(P, O)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2330,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2330.png",
+      "answer": "(1,\\sqrt{2}]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;y0: Number;x0: Number;H: Line;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = ((x - x0)^2 + (y - y0)^2 = 2);Expression(H) = (2*a - a*y + b*x = 0);Coordinate(P) = (x0, y0);PointOnCurve(P, H);NumIntersection(G, RightPart(C))=0",
+      "coords": {}
+    },
+    {
+      "index": 2331,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2332,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2332.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;G: Circle;Expression(G) = (x^2 + y^2 = b^2);TangentPoint(LineSegmentOf(P, F2), G) = Q;Q: Point;MidPoint(LineSegmentOf(P, F2)) = Q;e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 2333,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2334,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2334.png",
+      "answer": "5*sqrt(2)/3",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);A: Point;LowerVertex(G) = A;B: Point;Intersection(OverlappingLine(LineSegmentOf(A,F2)),G)=B",
+      "coords": {}
+    },
+    {
+      "index": 2335,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2336,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2336.png",
+      "answer": "sqrt(7)/3",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(P, G) = True;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(120, degree);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2337,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2337.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F))/Abs(LineSegmentOf(B, F)) = 4;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2338,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2338.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;Q: Point;R: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Expression(H) = (y^2 + (x + 4)^2 = 1/4);Expression(C) = (y^2 + (x - 4)^2 = 1/4);PointOnCurve(P, G);PointOnCurve(Q, H);PointOnCurve(R, C)",
+      "coords": {}
+    },
+    {
+      "index": 2339,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2339.png",
+      "answer": "ApplyUnit(120,degree)",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 64/3",
+      "coords": {}
+    },
+    {
+      "index": 2340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2340.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;Coordinate(M) = (1, 2);PointOnCurve(M, RightPart(C)) = True;PointOnCurve(F2, G) = True;IsDiameter(LineSegmentOf(M, F1), G) = True;G: Circle",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2341,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2341.png",
+      "answer": "(0, 1/16)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 2342,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2342.png",
+      "answer": "5/2",
+      "fact_expr": "F: Point;RightFocus(C) = F;C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A: Point;Coordinate(A) = (-1, 1);M: Point;PointOnCurve(M, C)",
+      "coords": {
+        "A": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2343,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2343.png",
+      "answer": "-1/4",
+      "fact_expr": "l: Line;C: Parabola;O: Origin;A: Point;B: Point;Expression(C) = (y^2 = x);Intersection(C, l) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2344,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2345,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2345.png",
+      "answer": "5*pi",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;B: Point;LeftVertex(C) = A;RightVertex(C) = B;H: Line;PointOnCurve(F1, H);P: Point;Intersection(H, RightPart(C)) = P;IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2346,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2347,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2347.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};l: Line;Directrix(C) = l;L1: Line;L2: Line;PointOnCurve(A, L1);PointOnCurve(B, L2);IsPerpendicular(L1, l);IsPerpendicular(L2, l);A1: Point;B1: Point;FootPoint(L1, l) = A1;FootPoint(L2, l) = B1;Area(TriangleOf(A, A1, F)) = 9;Area(TriangleOf(B, B1, F)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2348,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.826896789078654,
+        "b": 2.826896789078654,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 7.081136889894256e-06,
+        "converged": true,
+        "iterations": 75
+      },
+      "output_path": "results/train/hyperbola/problem_2348.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Coordinate(F1) = (-4, 0);Coordinate(F2) = (4, 0);PointOnCurve(P,G);Abs(Abs(LineSegmentOf(P,F1))-Abs(LineSegmentOf(P,F2)))=4;LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ],
+        "F2": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2349,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2350,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2350.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2351,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2351.png",
+      "answer": "4/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);Perimeter(TriangleOf(P, F1, F2)) = 18;Min(Abs(LineSegmentOf(P, F1))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2352,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2352.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "H: Line;Expression(H) = (y = 1 - x);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B));e: Number;Eccentricity(G) = e;In(e, [1/2, sqrt(3)/2])",
+      "coords": {}
+    },
+    {
+      "index": 2353,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2353.png",
+      "answer": "(4,\\pm 4)",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Distance(P, Focus(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 2354,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2354.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;M: Point;N: Point;Z: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(LeftFocus(G),Z) ;IsPerpendicular(Z, xAxis);Intersection(Z, G) = {M, N};IsDiameter(LineSegmentOf(M, N), H);PointOnCurve(RightVertex(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 2355,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2356,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2356.png",
+      "answer": "8*sqrt(3)",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (x^2/4 - y^2/8 = 1);P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2357,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2357.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Eccentricity(G) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 2358,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2358.png",
+      "answer": "15/8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/2);M: Point;PointOnCurve(M, G);Distance(M, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2359,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2360,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2360.png",
+      "answer": "(0,4-2*sqrt(3)]+[4+2*sqrt(3),+oo)",
+      "fact_expr": "C: Ellipse;m: Number;A: Point;M: Point;B: Point;m>0;Expression(C) = (x^2/4 + y^2/m^2 = 1);Endpoint(MajorAxis(C)) = {A, B};PointOnCurve(M,C);AngleOf(A,M,B)=ApplyUnit(150,degree)",
+      "coords": {}
+    },
+    {
+      "index": 2361,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2361.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;P: Point;O:Origin;Expression(G) = (x - y = 0);Vertex(C)=O;Coordinate(P) = (2, 2);PointOnCurve(Focus(C), xAxis);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2362,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2362.png",
+      "answer": "3*x+4*y-5=0",
+      "fact_expr": "G: Hyperbola;L: LineSegment;M: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(M) = (3, -1);IsChordOf(L,G);MidPoint(L)=M;PointOnCurve(M,L)",
+      "coords": {
+        "M": [
+          3.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 2363,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2363.png",
+      "answer": "(x^2/4 + y^2 = 1)&Negation(x = pm*2)",
+      "fact_expr": "G: Ellipse;P: Point;F2: Point;Q: Point;F1: Point;Expression(G) = (x^2/36 + y^2/9 = 1);PointOnCurve(Q, G);Negation(Q = Endpoint(MajorAxis(G)));Focus(G) = {F1, F2};VectorOf(P, F1) + VectorOf(P, F2) + VectorOf(P, Q) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2364,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2364.png",
+      "answer": "4*sqrt(22)/11",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/16 + y^2/4 = 1);PointOnCurve(P, G) ;H: Circle;Expression(H) = (y^2 + (x - 1)^2 = 1);l1: Line;l2: Line;TangentOfPoint(P, H) = {l1, l2};TangentPoint(l1, H) = A;TangentPoint(l2, H) = B;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 2365,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2366,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2366.png",
+      "answer": "x \\pm \\left(\\sqrt{3} \\cdot y\\right) = 0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2367,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2367.png",
+      "answer": "4/5",
+      "fact_expr": "G: Ellipse;e: Number;Expression(G) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2368,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2368.png",
+      "answer": "8*x-y-31=0",
+      "fact_expr": "l: Line;M: Point;Coordinate(M) = (4, 1);PointOnCurve(M, l);G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2369,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2370,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2370.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;M: Point;N: Point;m: Number;0 < m;m < 2;x1: Number;y1: Number;Expression(G) = (x^2/4 + y^2/2 = 1);Coordinate(M) = (x1, y1);Coordinate(N) = (m, 0);PointOnCurve(M, G);Distance(M, N) = Abs(LineSegmentOf(M, N));Min(Abs(LineSegmentOf(M, N))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2371,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2371.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/4);M: Point;PointOnCurve(M,G) = True;P1: Point;Coordinate(P1) = (0, -1);P2: Point;Coordinate(P2) = (1, -3)",
+      "coords": {
+        "P1": [
+          0.0,
+          -1.0
+        ],
+        "P2": [
+          1.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 2372,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2372.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;a: Number;P: Point;F1: Point;F2: Point;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);PointOnCurve(P, G);Expression(OneOf(Asymptote(G))) = (3*x - 2*y = 0);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2373,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2373.png",
+      "answer": "x^2+(y-1)^2=10",
+      "fact_expr": "G: Parabola;C:Circle;H: Line;A: Point;B: Point;Expression(G) = (x^2 = 4*y);Expression(H) = (4*x - 3*y - 2 = 0);Center(C)=Focus(G);Intersection(H, C) = {A, B};Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2374,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2374.png",
+      "answer": "y=pm*sqrt(3)*x/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = 2*sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 2375,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2375.png",
+      "answer": "13/5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (y = (12/5)*x)",
+      "coords": {}
+    },
+    {
+      "index": 2376,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2376.png",
+      "answer": "x^2+y^2+3*x-4*y+6=0",
+      "fact_expr": "P: Circle;B: Point;A: Point;Expression(P) = (x^2 + y^2 = 1);Coordinate(B) = (-3, 4);PointOnCurve(A, P);Q:Point;MidPoint(Distance(A,B))=Q",
+      "coords": {}
+    },
+    {
+      "index": 2377,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2378,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2378.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;A: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-2, 0);Coordinate(A) = (0, sqrt(5));LeftFocus(G) = F;PointOnCurve(P, RightPart(G));Min(Perimeter(TriangleOf(A, P, F))) = 8",
+      "coords": {
+        "F": [
+          -2.0,
+          0.0
+        ],
+        "A": [
+          0.0,
+          2.23606797749979
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2379,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2379.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>b;b>0;e: Number;Eccentricity(G) = e;WhenMin(a^2 + 16/(b*(a - b)))",
+      "coords": {}
+    },
+    {
+      "index": 2380,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2381,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2381.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2382,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2382.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Intersection(LeftDirectrix(G), xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 2383,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2384,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2384.png",
+      "answer": "8/3",
+      "fact_expr": "PointOnCurve(Focus(G), yAxis);G: Ellipse;Expression(G) = (x^2/2 + y^2/m = 1);m: Number;e: Number;Eccentricity(G) = e;e = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 2385,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2385.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y = x^2);Expression(H) = (x - y + 2 = 0);PointOnCurve(P, G);WhenMin(Distance(P,H))",
+      "coords": {}
+    },
+    {
+      "index": 2386,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2386.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = Abs(LineSegmentOf(M, F));Abs(LineSegmentOf(M, F)) = 4;x_: Number;XCoordinate(M) = x_",
+      "coords": {}
+    },
+    {
+      "index": 2387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2387.png",
+      "answer": "5*sqrt(5)/3",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;O: Origin;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(RightFocus(G), H);Intersection(H,G) = {A,B};Slope(H)=2;IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 2388,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2388.png",
+      "answer": "x^2+y^2=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);F1: Point;F2: Point;B2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;UpperVertex(G) = B2;H: Circle;PointOnCurve(F1,H) = True;PointOnCurve(F2,H) = True;PointOnCurve(B2,H) = True",
+      "coords": {}
+    },
+    {
+      "index": 2389,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2389.png",
+      "answer": "{(3,0),(-3,0)}",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/9 + y^2/25 = 1);PointOnCurve(P, G);F1:Point;F2:Point;Focus(G)={F1,F2};Distance(P,F1)*Distance(P,F2) = m;WhenMax(m);m:Number",
+      "coords": {}
+    },
+    {
+      "index": 2390,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2390.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;O: Origin;l: Line;Expression(G) = (x^2 = 4*y);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);PointOnCurve(P, LineSegmentOf(P,A));IsPerpendicular(LineSegmentOf(P, A),l);FootPoint(LineSegmentOf(P, A),l)=A;AngleOf(A, F, O) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2391,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2392,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2392.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;L: Line;PointOnCurve(Focus(G), L);Intersection(L, G) = {A, B};A: Point;B: Point;L1: Line;L2: Line;PointOnCurve(A, L1);PointOnCurve(B, L2);IsPerpendicular(L1, l) ;IsPerpendicular(L2, l);FootPoint(L1, l) = C;FootPoint(L2, l) = D;C: Point;D: Point;Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F));Area(TriangleOf(C, D, F)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 2393,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2393.png",
+      "answer": "6*sqrt(13)/13",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 1);H: Line;PointOnCurve(P, H);G: Ellipse;Expression(G) = (x^2/3 + y^2/2 = 1);A: Point;B: Point;Intersection(H, G) = {A, B};lambda: Number;VectorOf(A, P) = lambda*VectorOf(P, B);Q: Point;VectorOf(A, Q) = -lambda*VectorOf(Q, B);O: Origin",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2394,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2394.png",
+      "answer": "4/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2395,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_2395.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 16*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2396,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2396.png",
+      "answer": "[3/5, \\sqrt{2}/2)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;H: Circle;F2: Point;P: Point;T: Point;F1: Point;l: Line;a > b;b > c;c > 0;a^2=b^2+c^2;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Center(H) = F2;Radius(H) = b - c;PointOnCurve(P, G);TangentOfPoint(P, H) = l;TangentPoint(l, H) = T;Min(Abs(LineSegmentOf(P, T))) = (sqrt(3)/2)*(a - c)",
+      "coords": {}
+    },
+    {
+      "index": 2397,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.3166247903554,
+        "b": 3.1622776601683795,
+        "major_axis": "y",
+        "x_coef": 10.0,
+        "y_coef": 11.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2397.png",
+      "answer": "(pm*1,0)\n2*sqrt(11)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/10 + y^2/11 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2398,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2398.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2399,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2399.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;O: Origin;M: Point;P: Point;F: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);LeftFocus(G) = F;Distance(P, F) = 4;VectorOf(O, M) = (VectorOf(O, F) + VectorOf(O, P))/2",
+      "coords": {}
+    },
+    {
+      "index": 2400,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2400.png",
+      "answer": "x^2=12*y",
+      "fact_expr": "G: Parabola;P: Point;O: Origin;Coordinate(P) = (m, 1);Vertex(G) = O;PointOnCurve(Focus(G), yAxis);PointOnCurve(P, G);Distance(P, Focus(G)) = 4;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 2401,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2401.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;M: Point;A: Point;B: Point;l: Line;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(M) = (1, 0);PointOnCurve(M,G);Slope(G)=sqrt(3);Intersection(G,l)=A;OneOf(Intersection(G,C))=B;VectorOf(A, M) = VectorOf(M, B);Directrix(C)=l",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2402,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2402.png",
+      "answer": "0",
+      "fact_expr": "P: Point;PointOnCurve(P, C);C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A: Point;LeftVertex(C) = A;F: Point;RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 2403,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2403.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);Abs(LineSegmentOf(A, B)) = 6;M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2404,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2404.png",
+      "answer": "pm*4*sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;A: Point;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (4, m);PointOnCurve(A, G);Distance(A,Directrix(G)) = 6;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 2405,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2405.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G)=(x^2/a^2+y^2/9=1);a:Number;Focus(G)={F1,F2};Abs(LineSegmentOf(F1, F2)) = 8;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F1, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 2406,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2407,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2408,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2409.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;F: Point;P: Point;O: Origin;Q: Point;A: Point;G:Circle;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(P, C);Center(G)=F;Radius(G)=p;Intersection(LineSegmentOf(P,F),G)=Q;TangentOfPoint(P,G)=L;L:Line;TangentPoint(L,G)=A;Abs(LineSegmentOf(P, A)) = sqrt(3)*p;Area(TriangleOf(O, P, Q)) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 2410,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2410.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Circle;L: Line;Q: Point;F: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(Directrix(G), xAxis) = Q;PointOnCurve(F,L);Intersection(L, G) = {A, B};IsDiameter(LineSegmentOf(Q, F),H);PointOnCurve(B,H)",
+      "coords": {}
+    },
+    {
+      "index": 2411,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2412,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2412.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Circle;F: Point;Q: Point;P: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(P,G);IsPerpendicular(LineSegmentOf(P,Q),l);Intersection(LineSegmentOf(P,Q),l)=Q;IsDiameter(LineSegmentOf(F,Q),H);Length(InterceptChord(l,H))=2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 2413,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2413.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;F: Point;Focus(G) = F;PointOnCurve(F, H);k: Number;Slope(H) = k;A: Point;B: Point;Intersection(H, G) = {A, B};A1: Point;B1: Point;Z: Line;Expression(Z) = (x = -1);L1: Line;L2: Line;PointOnCurve(A, L1);PointOnCurve(B, L2);IsPerpendicular(L1, Z);IsPerpendicular(L2, Z);FootPoint(L1, Z) = A1;FootPoint(L2, Z) = B1",
+      "coords": {}
+    },
+    {
+      "index": 2414,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2415,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2415.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C);N: Point;Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;LineSegmentOf(F, M) = (1/2)*LineSegmentOf(M, N)",
+      "coords": {}
+    },
+    {
+      "index": 2416,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2416.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2417,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2418,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2418.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;M: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F,H);IsPerpendicular(H,OneOf(Asymptote(G)));FootPoint(H,OneOf(Asymptote(G)))=M;Quadrant(M)=1;Intersection(LineSegmentOf(M,F),G) = N;VectorOf(M,N)=VectorOf(N,F)/2",
+      "coords": {}
+    },
+    {
+      "index": 2419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2419.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;FocalLength(G) = 2*c;c: Number;A: Point;RightVertex(G) = A;H: Parabola;Expression(H) = (x^2 = 2*p*y);p: Number;p>0;F: Point;Focus(H) = F;Length(InterceptChord(Directrix(H), G)) = 2*c;Abs(LineSegmentOf(P, A)) = c;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 2420,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2420.png",
+      "answer": "((x-2*m)^2+y^2=m^2)&Negation(m=0)",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2/3 - y^2 = 1);PointOnCurve(Center(H),xAxis);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 2421,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2422,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2422.png",
+      "answer": "Negation(k=pm*(2*sqrt(3)/3))",
+      "fact_expr": "G: Hyperbola;H: Line;k: Real;Expression(G) = (x^2/3 - y^2/4 = 1);Expression(H) = (y = k*x - 2*k);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2423,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2423.png",
+      "answer": "(2*sqrt(5))/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;RightVertex(C) = A;P: Point;PointOnCurve(P, C);O: Origin;AngleOf(P, O, A) = ApplyUnit(60, degree);IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(A, P))",
+      "coords": {}
+    },
+    {
+      "index": 2424,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2424.png",
+      "answer": "3",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);l: Line;PointOnCurve(P, l);H: Circle;Expression(H) = (x^2 + y^2 = 4);A: Point;B: Point;Intersection(l, H) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2425,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.8706156235768385,
+        "b": 0.9134866531697662,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 8.509210183089842e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/train/ellipse/problem_2425.png",
+      "answer": "{x^2/9+y^2=1,y^2/81+x^2/9=1}",
+      "fact_expr": "G: Ellipse;P: Point;Coordinate(P) = (3, 0);Length(MajorAxis(G))=3*Length(MinorAxis(G));PointOnCurve(P,G)",
+      "coords": {
+        "P": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2426,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2426.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(RightFocus(G),OneOf(Asymptote(G)))=a/2",
+      "coords": {}
+    },
+    {
+      "index": 2427,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2427.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/7 = 1);P: Point;PointOnCurve(P, G);Distance(P, RightFocus(G)) = 1;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2428,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2428.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;L:Line;PointOnCurve(F1, L);IsPerpendicular(L, OneOf(Asymptote(G)));FootPoint(L, OneOf(Asymptote(G)))=P;Abs(LineSegmentOf(P, F2)) = a*(sqrt(39)/3)",
+      "coords": {}
+    },
+    {
+      "index": 2429,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2429.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;B: Point;Expression(C) = (y^2 = 2*x);Coordinate(M) = (-1/2, 1);PointOnCurve(Focus(C),G);Slope(G)=k;k:Number;Intersection(G,C)={A,B};AngleOf(A,M,B)=ApplyUnit(90,degree)",
+      "coords": {
+        "M": [
+          -0.5,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2430,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2431,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.9560877084732056,
+        "b": 1.622148733645621,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.7588219936233933e-05,
+        "converged": true,
+        "iterations": 62
+      },
+      "output_path": "results/train/ellipse/problem_2431.png",
+      "answer": "[1/2, sqrt(3)/2]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;H: Point;Coordinate(H) = (1, sqrt(2));PointOnCurve(H, G) = True;Range(Length(MinorAxis(G))) = [3, sqrt(11)]",
+      "coords": {
+        "H": [
+          1.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 2432,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2432.png",
+      "answer": "(\\sqrt{2}, 3]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;b > a;a > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, LeftPart(G));Max(2*Abs(LineSegmentOf(P, F1))/Abs(LineSegmentOf(P, F2))^2) = 1/(4*a)",
+      "coords": {}
+    },
+    {
+      "index": 2433,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2433.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;P: Point;F2: Point;O: Origin;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F1));IsParallel(LineSegmentOf(P, F2), OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 2434,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2434.png",
+      "answer": "(\\sqrt{2},2)",
+      "fact_expr": "C: Hyperbola;F: Point;R: Point;M: Point;l1:Line;l2:Line;l:Line;lambda:Number;a:Number;b:Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a>0;b>0;Asymptote(C) = {l1,l2};RightFocus(C) = F;PointOnCurve(F, l);IsParallel(l,l2) = True;Intersection(l, C) = R;Intersection(l,l1) = M;VectorOf(F, R) = lambda*VectorOf(F, M);In(lambda,(1/2,3/4))",
+      "coords": {}
+    },
+    {
+      "index": 2435,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2435.png",
+      "answer": "[16,26]",
+      "fact_expr": "G: Ellipse;H: Circle;A: Point;B: Point;F1: Point;F2: Point;P: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Center(H)=P;Radius(H)=1;IsDiameter(LineSegmentOf(A,B),H)",
+      "coords": {}
+    },
+    {
+      "index": 2436,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2436.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);P: Point;Coordinate(P) = (2, 0);l: Line;PointOnCurve(P, l);k: Number;Slope(l) = k;A: Point;B: Point;Intersection(l, G) = {A, B};Negation(A=B);O: Origin;S: Number;Area(TriangleOf(A, O, B)) = S",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2437,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2437.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(M) = (1, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2438,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2438.png",
+      "answer": "16",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);O: Origin;Negation(O=A);Negation(O=B);IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B))",
+      "coords": {}
+    },
+    {
+      "index": 2439,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2439.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;P: Point;PointOnCurve(P, G);A: Point;IsPerpendicular(LineSegmentOf(P, A), l);FootPoint(LineSegmentOf(P, A), l) = A;Inclination(LineOf(A, F)) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2440,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2441,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2441.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/24 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Ellipse;Expression(H) = (x^2/49 + y^2/24 = 1);P: Point;OneOf(Intersection(G, H)) = P",
+      "coords": {}
+    },
+    {
+      "index": 2442,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2442.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G) = True;Distance(P, yAxis) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2443,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2444,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2445,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2445.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Circle;F2: Point;O: Origin;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Center(H)=F2;IsTangent(Asymptote(C),H);PointOnCurve(MidPoint(LineSegmentOf(O,F2)),H)",
+      "coords": {}
+    },
+    {
+      "index": 2446,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2446.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (-y^2 + x^2/m = 1);Expression(H) = (y^2 = 8*x);RightFocus(G) =Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2447,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2447.png",
+      "answer": "5",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 4*x);P: Point;PointOnCurve(P, E);F: Point;Focus(E) = F;B: Point;Coordinate(B) = (4, 2)",
+      "coords": {
+        "B": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2448,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2448.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;F: Point;M: Point;B: Point;N: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C)=F;PointOnCurve(F,l);Intersection(l,C) = {B, A};Projection(A,Directrix(C))=M;Projection(B,Directrix(C))=N;InterReciprocal(Area(TriangleOf(A,F,M)),Area(TriangleOf(B,F,N)))",
+      "coords": {}
+    },
+    {
+      "index": 2449,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2449.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F1: Point;F2: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;OneOf(Vertex(MajorAxis(G)))=A;OneOf(Vertex(MinorAxis(G)))=B;Eccentricity(G)=e;e:Number;DotProduct(VectorOf(A, F1), VectorOf(A, F2)) + DotProduct(VectorOf(B, F1), VectorOf(B, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2450,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2450.png",
+      "answer": "sqrt(7)/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2451,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2451.png",
+      "answer": "(0, 4)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 16*y)",
+      "coords": {}
+    },
+    {
+      "index": 2452,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2452.png",
+      "answer": "3/5",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - 4*y^2 = 4);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,RightPart(G));Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2453,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2454,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2455,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2455.png",
+      "answer": "{y^2=8*x, x^2=-12*y}",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;SymmetryAxis(G) = axis;C: Curve;Expression(C) = (3*x - 2*y - 6 = 0);PointOnCurve(Focus(G), C)",
+      "coords": {}
+    },
+    {
+      "index": 2456,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2456.png",
+      "answer": "sqrt(10)/10",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = ((x + 1)^2 + (y - 1)^2 = 5);F: Point;B: Point;RightFocus(C) = F;UpperVertex(C) = B;PointOnCurve(F, G);PointOnCurve(B, G)",
+      "coords": {}
+    },
+    {
+      "index": 2457,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2457.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (3, 2);PointOnCurve(M, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2458,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2458.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G) = {B, A};F:Point",
+      "coords": {}
+    },
+    {
+      "index": 2459,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2459.png",
+      "answer": "14",
+      "fact_expr": "G: Parabola;A: Point;B: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y^2 = 8*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1 + x2 = 10;PointOnCurve(Focus(G), LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 2460,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2460.png",
+      "answer": "{2/3,-2/3}",
+      "fact_expr": "G: Hyperbola;H: Curve;a: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = a + x^3/3);IsTangent(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 2461,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2461.png",
+      "answer": "12",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/100 + y^2/64 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 2462,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2462.png",
+      "answer": "5",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (x^2/25 + y^2/5 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2463,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2463.png",
+      "answer": "14",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;F: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Coordinate(A) = (0, 2*sqrt(3));PointOnCurve(P, G);RightFocus(G)=F",
+      "coords": {
+        "A": [
+          0.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 2464,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2464.png",
+      "answer": "{4,16}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, G) = True;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 2465,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_2465.png",
+      "answer": "(1,0)",
+      "fact_expr": "H: Point;Coordinate(H) = (1, 2);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2466,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2467,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2468,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2468.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;m>0;n>0;H:Parabola;Expression(G) = (-y^2/n + x^2/m = 1);Eccentricity(G) = 2;Expression(H) =(y^2 = 16*x);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2469,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2469.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;e: Number;Expression(G) = (9*x^2 - 16*y^2 = 144);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2470,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2470.png",
+      "answer": "3/4",
+      "fact_expr": "C: Parabola;M: Circle;P: Point;A: Point;L: Line;Expression(C) = (y = x^2);Expression(M) = (x^2 + (y-2)^2 = 1);PointOnCurve(P, C);TangentOfPoint(P, M) = L;TangentPoint(L,M) = A",
+      "coords": {}
+    },
+    {
+      "index": 2471,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2472,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2472.png",
+      "answer": "(1,(2+sqrt(7))/3)",
+      "fact_expr": "M: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(M) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(M)=F1;RightFocus(M)=F2;Abs(LineSegmentOf(F1, F2)) = 2*c;PointOnCurve(P,RightPart(M));a/Sin(AngleOf(P, F1, F2)) = (3*c)/Sin(AngleOf(P, F2, F1));c:Number",
+      "coords": {}
+    },
+    {
+      "index": 2473,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_2473.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "D: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(D) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(D)) = (y = pm*sqrt(3)*x);LeftFocus(D) = F1;RightFocus(D) = F2;PointOnCurve(P, RightPart(D))",
+      "coords": {}
+    },
+    {
+      "index": 2474,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2475,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2476,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2476.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Parabola;Expression(H) = (y = x^2 + 1);NumIntersection(OneOf(Asymptote(G)), H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2477,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2478,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2478.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 2479,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2480,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2480.png",
+      "answer": "(4*sqrt(2),4*sqrt(6))",
+      "fact_expr": "l: Line;G: Parabola;O: Point;A: Point;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 0);Vertex(G)=O;Inclination(l)=pi/4;IsIntersect(l,LineSegmentOf(O,A));Negation(PointOnCurve(O,l));Negation(PointOnCurve(A,l));Intersection(l,G)={P,Q}",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2481,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2481.png",
+      "answer": "8 + 2*sqrt(2)",
+      "fact_expr": "G: Ellipse;P: Point;M: Point;F: Point;Expression(G) = (x^2/9 + y^2/8 = 1);Coordinate(P) = (1, -2);RightFocus(G) = F;PointOnCurve(M, G)",
+      "coords": {
+        "P": [
+          1.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 2482,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2483,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2483.png",
+      "answer": "x^2 + 4*y^2 = 4",
+      "fact_expr": "G: Circle;N: Point;M: Point;Expression(G) = (x^2 + y^2 = 4);PointOnCurve(M, G);L: Line;PointOnCurve(M, L);IsPerpendicular(L, xAxis);FootPoint(L, xAxis) = N",
+      "coords": {}
+    },
+    {
+      "index": 2484,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2485,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2485.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;L:Line;Expression(G) = (x^2/4 - y^2 = 1);IsPerpendicular(L,xAxis);PointOnCurve(RightFocus(G),L)",
+      "coords": {}
+    },
+    {
+      "index": 2486,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 3.9731175899505615,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.00018243117665406317,
+        "converged": true,
+        "iterations": 127
+      },
+      "output_path": "results/train/parabola/problem_2486.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Coordinate(P) = (4, 1);PointOnCurve(P, C);Focus(C) = F",
+      "coords": {
+        "P": [
+          4.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2487,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2488,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2489,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2489.png",
+      "answer": "x^2/15+y^2/10=1",
+      "fact_expr": "G: Ellipse;H: Point;C:Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(H) = (3, 2);PointOnCurve(H, C);Focus(G)=Focus(C)",
+      "coords": {
+        "H": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2490,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2491,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2491.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;N: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F,l);Intersection(l, C) = {M, N};VectorOf(M, N) = 4*VectorOf(M, F)",
+      "coords": {}
+    },
+    {
+      "index": 2492,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2492.png",
+      "answer": "x^2 = -4*y",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;F: Point;Coordinate(M) = (a,-4);Vertex(G) = O;PointOnCurve(Focus(G), yAxis);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = 5;a:Number;a>0",
+      "coords": {}
+    },
+    {
+      "index": 2493,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2494,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2494.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4);L:LineSegment;IsChordOf(L,G);PointOnCurve(Focus(G),L);IsParallel(L,ImageinaryAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 2495,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2495.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 6*x)",
+      "coords": {}
+    },
+    {
+      "index": 2496,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_2496.png",
+      "answer": "5*x^2 - (5/4)*y^2 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);OneOf(Focus(G)) = Focus(H);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 2497,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2497.png",
+      "answer": "0",
+      "fact_expr": "Gamma: Hyperbola;Expression(Gamma) = (x^2/3-y^2/2=1);F1: Point;F2: Point;LeftFocus(Gamma) = F1;RightFocus(Gamma) = F2;P: Point;PointOnCurve(P, Gamma);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2498,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2498.png",
+      "answer": "5/4",
+      "fact_expr": "M: Point;N: Point;G: Parabola;F: Point;Expression(G) = (y = x^2);Focus(G) = F;PointOnCurve(M, G);PointOnCurve(N, G);Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2499,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2499.png",
+      "answer": "3/2",
+      "fact_expr": "C: Parabola;A: Point;F: Point;O: Origin;Expression(C) = (y^2 = 4*x);Focus(C)=F;PointOnCurve(A, C);Abs(LineSegmentOf(A, O)) = Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 2500,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_2500.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 3);PointOnCurve(P, C);FocalLength(C) = 4",
+      "coords": {
+        "P": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2501,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2501.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,C);Abs(VectorOf(P, F1) + VectorOf(P, F2)) = sqrt(Abs(VectorOf(P, F1))^2 + Abs(VectorOf(P, F2))^2);Abs(VectorOf(P, F1)) = 2*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2502,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2502.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G) = True;G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;VectorOf(A, F1) = (3/2)*VectorOf(F1, B);AngleOf(A, F2, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2503,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2503.png",
+      "answer": "x^2/4 - y^2/5 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;Focus(C) = F;Coordinate(F) = (3, 0);Distance(F, Asymptote(C)) = sqrt(5)",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2504,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2504.png",
+      "answer": "2*p",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;Intersection(Directrix(G), xAxis) = C;C: Point;PointOnCurve(F, LineSegmentOf(A, B)) = True;IsChordOf(LineSegmentOf(A, B), G) = True;A: Point;B: Point;AngleOf(C, B, F) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2505,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2505.png",
+      "answer": "y=pm*(sqrt(5)/2)*x",
+      "fact_expr": "C: Hyperbola;m: Number;m>0;Expression(C) = (x^2/4 - y^2/m = 1);Coordinate(OneOf(Focus(C))) = (3, 0)",
+      "coords": {}
+    },
+    {
+      "index": 2506,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2507,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2507.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 6*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F,l) = True;Intersection(C,l) = A;Intersection(Directrix(C),l) = B;B: Point;A: Point;VectorOf(F, B) = 3*(VectorOf(F, A));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2508,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2508.png",
+      "answer": "[1, 4/3]",
+      "fact_expr": "Gamma: Ellipse;H: Line;A: Point;F: Point;B: Point;Expression(Gamma) = (x^2/4 + y^2/3 = 1);RightFocus(Gamma)=F;O: Origin;PointOnCurve(O, H);Intersection(H, Gamma) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2509,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2509.png",
+      "answer": "12*sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;M: Point;F2: Point;Expression(G) = (x^2/16 - y^2/12 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(M,G);AngleOf(F1, M, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2510,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2510.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);C: Circle;P: Point;Q: Point;F: Point;Expression(C) = ((x - 2)^2 + (y - 1)^2 = 1);PointOnCurve(P, G);Focus(G) = F;PointOnCurve(Q, C)",
+      "coords": {}
+    },
+    {
+      "index": 2511,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2511.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;F2: Point;P: Point;A: Point;F1: Point;Expression(G) = (x^2/4 - y^2/9 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Intersection(LineOf(P,F2), yAxis) = A",
+      "coords": {}
+    },
+    {
+      "index": 2512,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2512.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "O: Origin;Vertex(C) = O;C: Parabola;G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);Focus(C) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2513,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2514,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2514.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;x1: Number;y1: Number;Expression(G) = (y = x^2/4);Coordinate(Q) = (2*sqrt(2), 0);Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2515,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2516,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2516.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;b: Number;A: Point;F: Point;B: Point;Expression(G) = (x^2 = 4*y);Expression(H) = (y = b + 2*x);TangentPoint(H, G) = A;Focus(G)=F;Intersection(LineOf(A,F),G)={A,B};H:Line",
+      "coords": {}
+    },
+    {
+      "index": 2517,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2518,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2518.png",
+      "answer": "ApplyUnit(90,degree)",
+      "fact_expr": "G: Parabola;H: Line;C:Line;M: Point;F: Point;N: Point;A: Point;B:Point;Expression(G) = (y^2 = x);Expression(C) = (x = 1/4);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G) = {A,B};Projection(A,C)=M;Projection(B,C)=N",
+      "coords": {}
+    },
+    {
+      "index": 2519,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2519.png",
+      "answer": "6",
+      "fact_expr": "l: Line;C: Hyperbola;A: Point;P: Point;O: Origin;M: Point;N: Point;F: Point;Expression(C) = (x^2/9 - y^2/7 = 1);Coordinate(A)=(3, 0);Coordinate(F)=(4,0);PointOnCurve(F, l);Intersection(l, C) = {M, N};PointOnCurve(P,l);Abs(VectorOf(A,P)+VectorOf(O,P))=4",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ],
+        "F": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2520,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2520.png",
+      "answer": "5*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;N: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Slope(l) = sqrt(5);Intersection(l, C) = {M, N};YCoordinate(MidPoint(LineSegmentOf(M, N))) = sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 2521,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2521.png",
+      "answer": "y^2 = 12*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;Expression(G) = (x^2/7 - y^2/2 = 1);a>0;Expression(H) = (y^2 = a*x);Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 2522,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2522.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;P: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);OneOf(Focus(G)) = F;Focus(H) = F;OneOf(Intersection(H,G))=P;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2523,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2523.png",
+      "answer": "x - y - 3 = 0",
+      "fact_expr": "l: Line;G: Hyperbola;M: Point;Z: LineSegment;Coordinate(M) = (4, 1);Expression(G) = (x^2 - 4*y^2 = 4);IsChordOf(Z, G);MidPoint(Z) = M;OverlappingLine(Z, l)",
+      "coords": {
+        "M": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2524,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2524.png",
+      "answer": "ApplyUnit(30, degree)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;Intersection(Directrix(G),yAxis) = M;M: Point;PointOnCurve(N,G) = True;N: Point;Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 2525,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2526.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (y = x);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2527,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2528.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);IsChordOf(LineSegmentOf(A,B),G);XCoordinate(MidPoint(LineSegmentOf(A,B)))=2",
+      "coords": {}
+    },
+    {
+      "index": 2529,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2529.png",
+      "answer": "{y^2=8*x,y^2=-16*x}",
+      "fact_expr": "G: Parabola;m: Number;H: Line;Expression(G) = (y^2 = m*x);Expression(H) = (x = 1);Distance(Directrix(G),H) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2530,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2530.png",
+      "answer": "y = pm*sqrt(6)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);2*Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2531,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2531.png",
+      "answer": "(4, 4), (4, -4)",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 5;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 2532,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2532.png",
+      "answer": "48",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,RightPart(G));Abs(LineSegmentOf(P,F2))=Abs(LineSegmentOf(F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 2533,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2533.png",
+      "answer": "9/4",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;O: Origin;F: Point;Expression(C) = (y^2 = 3*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(30, degree);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2534,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2534.png",
+      "answer": "x^2/36+y^2/9=1",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;P: Point;Q: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y + 8 = 0);Eccentricity(G) = sqrt(3)/2;Intersection(G, H) = {P, Q};Abs(LineSegmentOf(P, Q)) = sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 2535,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2535.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x);P: Point;PointOnCurve(P, G);Distance(P, xAxis) = 12;F: Point;Focus(G) = F;Distance(P, F) = Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 2536,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2536.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (4, 2);Focus(G) = F;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(M,A))+Abs(LineSegmentOf(M,F)))",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2537,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2537.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;H:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1,H);IsPerpendicular(H,xAxis);Intersection(H,G)=P;AngleOf(F1, P, F2) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2538,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2539,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2539.png",
+      "answer": "{x+y+1=0,x-y+1=0}",
+      "fact_expr": "C: Parabola;A: Point;P: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (-1, 0);Focus(C) = F;PointOnCurve(P, C);WhenMin(Abs(LineSegmentOf(P,F))/Abs(LineSegmentOf(P,A)))",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2540,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2541,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2542,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2542.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);D: Point;PointOnCurve(D, G) = True;Distance(D, LeftDirectrix(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2543,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2544,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2545,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2545.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;Coordinate(F) = (-c, 0);LeftFocus(G) = F;c: Number;c>0;PointOnCurve(F, LineOf(F, E));E: Point;Inclination(LineOf(F, E)) = pi/6;P: Point;Intersection(LineOf(F, E), RightPart(G)) = P;O: Origin;VectorOf(O, E) = (1/2)*(VectorOf(O, F) + VectorOf(O, P));DotProduct(VectorOf(O, E), VectorOf(E, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 2546,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2546.png",
+      "answer": "sqrt(10) - 1",
+      "fact_expr": "G: Parabola;P: Point;A: Point;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 3);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 2547,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2547.png",
+      "answer": "ApplyUnit(120,degree)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2548,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2549,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2549.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;a: Number;b:Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (x^2/9 + y^2/6 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2550,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.242640687119285,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 18.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2550.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/18 + y^2/9 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Area(TriangleOf(F1, P, F2)) = 3*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 2551,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2552,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2553,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2553.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2/3 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 2554,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2554.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;H: Line;PointOnCurve(F,H);A: Point;B: Point;Intersection(H, G) = {A, B};L1: Line;L2: Line;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(l,L1);IsPerpendicular(l,L2);C: Point;D: Point;FootPoint(l,L1) = C;FootPoint(l,L2) = D;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));Area(TriangleOf(C, D, F)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 2555,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2555.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;B: Point;F: Point;a>0;b>0;L1:Line;L2:Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F,l);IsPerpendicular(l,L1);FootPoint(l,L1)=A;Intersection(l,L2)=B;Abs(LineSegmentOf(A, B)) = sqrt(3)*a;OneOf(Asymptote(C)) = L1;OneOf(Asymptote(C)) = L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 2556,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2556.png",
+      "answer": "[4*sqrt(2), +oo)",
+      "fact_expr": "C: Parabola;p: Real;G: Line;F: Point;M: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (x + y + 4 = 0);Focus(C) = F;Intersection(Directrix(C), xAxis) = A;PointOnCurve(M, G);AngleOf(F, M, A) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2557,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -5.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2557.png",
+      "answer": "10",
+      "fact_expr": "C1: Curve;C2: Curve;C3: Curve;P: Point;Q: Point;R: Point;Expression(C1) = (x^2/16 - y^2/9 = 1);Expression(C2) = (y^2 + (x - 5)^2 = 1);Expression(C3) = (y^2 + (x + 5)^2 = 1);PointOnCurve(P, C1);PointOnCurve(Q, C2);PointOnCurve(R, C3)",
+      "coords": {}
+    },
+    {
+      "index": 2558,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2559,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2559.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "G: Parabola;p: Number;I: Line;B: Point;F: Point;A: Point;C: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, I);Intersection(I, G) = {A, B};Intersection(I,Directrix(G)) = C;LineSegmentOf(C, B) = 2 * LineSegmentOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 2560,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2560.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;a: Number;A: Point;F: Point;E: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;PointOnCurve(F, l);Slope(l) = sqrt(2)/2;Intersection(l, G) = {A, B};Quadrant(B) = 1;Intersection(l, yAxis) = E;VectorOf(A, F) = VectorOf(E, B)",
+      "coords": {}
+    },
+    {
+      "index": 2561,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2561.png",
+      "answer": "8/5",
+      "fact_expr": "C: Parabola;p: Number;A: Point;P: Point;H: Point;0 < p;p < 4;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (4, 0);l: Line;Directrix(C) = (l);PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, H), l);FootPoint(LineSegmentOf(P, H), l) = H;Abs(LineSegmentOf(P, H)) = Abs(LineSegmentOf(P, A));AngleOf(A, P, H) = ApplyUnit(120, degree)",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2562,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2562.png",
+      "answer": "(\\sqrt{2}/4,\\sqrt{2}/2]",
+      "fact_expr": "l: Line;Negation(Slope(l) = 0);C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F: Point;LeftFocus(C) = F;PointOnCurve(F, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point;PointOnCurve(M, yAxis) = True;M: Point;Abs(LineSegmentOf(M, A)) = Abs(LineSegmentOf(M, B))",
+      "coords": {}
+    },
+    {
+      "index": 2563,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2563.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;Coordinate(F) = (2, 0);OneOf(Focus(C)) = F;Distance(F, Asymptote(C)) = 1",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2564,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2564.png",
+      "answer": "[0, 2*sqrt(2)+2]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2565,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2565.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;B: Point;A: Point;C: Point;F: Point;Expression(G) = (y = x^2/2);Coordinate(C) = (0, 4);Focus(G)=F;PointOnCurve(A,G);PointOnCurve(B,G);Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = n;Intersection(PerpendicularBisector(LineSegmentOf(A,B)), yAxis) = C;n:Number",
+      "coords": {
+        "C": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 2566,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2567,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_2567.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(H) = (y^2 = 8*x);Expression(Asymptote(G)) = (y = pm*sqrt(3)*x);Center(G) = Vertex(H);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2568,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2568.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftFocus(G) = F1;RightFocus(G) = F2;F1: Point;F2: Point;PointOnCurve(P, G) = True;P: Point;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 2;a = 2*b",
+      "coords": {}
+    },
+    {
+      "index": 2569,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2569.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;O:Origin;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);RightFocus(G) = Focus(H);Center(G)=O",
+      "coords": {}
+    },
+    {
+      "index": 2570,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2570.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/2 + y^2 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2571,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2571.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "C: Parabola;Vertex(C) = O;O: Origin;G: Hyperbola;Expression(G) = (x^2/7 - y^2/2 = 1);Focus(C) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2572,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_2572.png",
+      "answer": "{3,16/3}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 2573,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2573.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;m: Number;m>0;P: Point;F1: Point;F2: Point;Expression(G) = (y^2/3 + x^2/m = 1);Focus(G)={F1,F2};PointOnCurve(F1,xAxis);PointOnCurve(F2,xAxis);Quadrant(P)=1;PointOnCurve(P, G);(Sin(AngleOf(P, F1, F2)) + Sin(AngleOf(P, F2, F1)))/(Sin(AngleOf(F1, P, F2)))= 2",
+      "coords": {}
+    },
+    {
+      "index": 2574,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2574.png",
+      "answer": "2*x-y-2=0",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Slope(l) = 2;Intersection(l, C) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2575,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2575.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;F: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;IsDiameter(LineSegmentOf(O, F), G);l1: Line;l2: Line;Asymptote(C) = {l1, l2};Intersection(G, l1) = A;Intersection(G, l2) = B;Negation(A = O);Negation(B = O);Area(TriangleOf(O, A, B)) = (a*b)/8",
+      "coords": {}
+    },
+    {
+      "index": 2576,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2576.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (2*x^2 - 3*y^2 = 6)",
+      "coords": {}
+    },
+    {
+      "index": 2577,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2577.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Hyperbola;G: Circle;Q: Point;P: Point;M: Point;F: Point;Expression(C) = (x^2 - y^2/3 = 1);RightFocus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {P, Q};IsDiameter(LineSegmentOf(P,Q),G);PointOnCurve(M, G)",
+      "coords": {}
+    },
+    {
+      "index": 2578,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2578.png",
+      "answer": "15/8",
+      "fact_expr": "Length(LineSegmentOf(A, B)) = 4;A: Point;B: Point;Endpoint(LineSegmentOf(A, B)) = {A, B};G: Parabola;Expression(G) = (y = 2*x^2);PointOnCurve(A, G);PointOnCurve(B, G);M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2579,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2579.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2 = 1);PointOnCurve(P, C);LeftFocus(C) = F1;RightFocus(C) = F2;Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2580,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2580.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Parabola;B: Point;A: Point;M: Point;Expression(C) = (y^2 = x);Coordinate(M) = (1, -1);PointOnCurve(M,C);PointOnCurve(A, C);PointOnCurve(B, C);DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 2581,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 0.9257914695554953,
+        "b": 0.6016238374279513,
+        "major_axis": "y",
+        "x_coef": 0.19999999999999993,
+        "y_coef": 0.25
+      },
+      "optimization": {
+        "final_loss": 5.471293296806409e-05,
+        "converged": true,
+        "iterations": 67
+      },
+      "output_path": "results/train/ellipse/problem_2581.png",
+      "answer": "5*x^2+4*y^2=1",
+      "fact_expr": "G: Ellipse;P1: Point;P2: Point;Coordinate(P1) = (1/3, 1/3);Coordinate(P2) = (0, -1/2);PointOnCurve(P1,G);PointOnCurve(P2,G)",
+      "coords": {
+        "P1": [
+          0.3333333333333333,
+          0.3333333333333333
+        ],
+        "P2": [
+          0.0,
+          -0.5
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2582,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2582.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/9 = 1);P:Point;F1:Point;F2:Point;PointOnCurve(P,G);OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P,F1)=12",
+      "coords": {}
+    },
+    {
+      "index": 2583,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2583.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;H: Parabola;A: Point;F: Point;B: Point;n>0;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1);m>0;Expression(H) = (x^2 = 2*(m*y));Focus(H) = F;Intersection(Directrix(H),G)={A,B};AngleOf(A, F, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2584,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2584.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Parabola;p: Number;B: Point;A: Point;F: Point;M: Point;N: Point;l: Line;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(A,C);PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(A,F),LineSegmentOf(A,B));AngleOf(A,B,F)=ApplyUnit(30,degree);MidPoint(LineSegmentOf(A,B))=M;Projection(M,l)=N",
+      "coords": {}
+    },
+    {
+      "index": 2585,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2585.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);A: Point;PointOnCurve(A, G);Distance(A, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2586,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2586.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;A: Point;Coordinate(A) = (3, 0);PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2587,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2587.png",
+      "answer": "-1/3",
+      "fact_expr": "P: Point;A: Point;G: Ellipse;B: Point;Expression(G) = (x^2/12 + y^2/4 = 1);PointOnCurve(P,G);LeftVertex(G)=A;RightVertex(G)=B;Negation(P=A);Negation(P=B);k1:Number;k2:Number;Slope(LineOf(P, A)) = k1;Slope(LineOf(P, B)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 2588,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2588.png",
+      "answer": "-8",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2 = 16);PointOnCurve(P, LeftPart(G));LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 2589,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2589.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;H: Line;F: Point;P: Point;Q: Point;Expression(G) = (x^2 - y^2 = 4);RightFocus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(105, degree);Intersection(H,G) = {P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 2590,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2590.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;Center(G) = O;O: Origin;Eccentricity(G) = sqrt(3);H: Parabola;Expression(H) = (y^2 = 4*x);OneOf(Directrix(G)) = Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 2591,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2591.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);LineSegmentOf(P, F1) = 2*LineSegmentOf(P, F2);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2592,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2593,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2593.png",
+      "answer": "y^2 = 2*sqrt(2)*x",
+      "fact_expr": "C: Parabola;A: Point;F: Point;M: Point;l: Line;B: Point;H: Line;p: Number;Coordinate(A) = (0, 2);Expression(C) = (y^2 = 2*p*x);p > 0;Focus(C) = F;Directrix(C) = l;Intersection(LineSegmentOf(F,A), C) = B;PointOnCurve(B, H);IsPerpendicular(H,l);FootPoint(H,l) = M;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(M, F))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2594,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2594.png",
+      "answer": "(0, \\sqrt{3}/3)",
+      "fact_expr": "C1:Ellipse;C2:Circle;P: Point;L1: Line;L2: Line;Expression(C1)=(y^2/b^2 + x^2/a^2 = 1);Expression(C2)=(x^2 + y^2 = (3*b^2)/4);Negation(PointOnCurve(P,C1));TangentOfPoint(P,C2)={L1,L2};IsPerpendicular(L1,L2);a:Number;b:Number;a>b;b>0",
+      "coords": {}
+    },
+    {
+      "index": 2595,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.8284271247461903
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2595.png",
+      "answer": "(x-2)^2+y^2=2",
+      "fact_expr": "G: Curve;A: Point;B: Point;P:Point;Expression(G) = (x^2 + y^2 = 8);Coordinate(A) = (4, 0);PointOnCurve(B, G);MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {}
+    },
+    {
+      "index": 2596,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2596.png",
+      "answer": "-1/12",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;Expression(G) = (-x^2/6 + y^2/3 = 1);Expression(H) = (y = a*x^2);LowerFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2597,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2597.png",
+      "answer": "48",
+      "fact_expr": "G: Hyperbola;Expression(G) = (y^2/16 - x^2/m = 1);m: Number;e: Number;Eccentricity(G) = e;e = 2",
+      "coords": {}
+    },
+    {
+      "index": 2598,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2599,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2599.png",
+      "answer": "y=pm*(sqrt(10)/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F: Point;RightFocus(C) = F;L1: Line;L2: Line;OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2);L: Line;M: Point;PointOnCurve(F, L);IsPerpendicular(L, L1);FootPoint(L, L1) = M;N: Point;Intersection(L, L2) = N;7*VectorOf(F, M) = 3*VectorOf(F, N)",
+      "coords": {}
+    },
+    {
+      "index": 2600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2600.png",
+      "answer": "(2, 2)",
+      "fact_expr": "P: Point;C: Parabola;Expression(C) = (y^2 = 2*x);PointOnCurve(P, C) = True;F: Point;Focus(C) = F;A: Point;Coordinate(A) = (7/2, 2);WhenMin(LineSegmentOf(P, A) + LineSegmentOf(P, F))",
+      "coords": {
+        "A": [
+          3.5,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2601,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2601.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F1: Point;F2: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, G);Intersection(G, C) = {A, B};DotProduct(VectorOf(A, F1), VectorOf(A, F2)) = 0;VectorOf(A, F2) = 3*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 2602,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2602.png",
+      "answer": "4/9",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;P: Point;B: Point;k1: Number;k2: Number;Expression(G) = (x^2/9 - y^2/4 = 1);Expression(H) = (y = x/2);Intersection(H, G) = {A, B};PointOnCurve(P, G);Negation(A = P);Negation(B = P);Slope(LineOf(P,A))=k1;Slope(LineOf(P,B))=k2",
+      "coords": {}
+    },
+    {
+      "index": 2603,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_2603.png",
+      "answer": "y = pm*x/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(H) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 2604,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2604.png",
+      "answer": "9/41",
+      "fact_expr": "C: Ellipse;P: Point;A: Point;B: Point;alpha: Number;beta: Number;Expression(C) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, C);UpperVertex(C) = A;LowerVertex(C) = B;Inclination(LineOf(P, A)) = alpha;Inclination(LineOf(P, B)) = beta",
+      "coords": {}
+    },
+    {
+      "index": 2605,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.9248086180933468,
+        "b": 0.924587494146203,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 1.8526520682049785e-05,
+        "converged": true,
+        "iterations": 80
+      },
+      "output_path": "results/train/ellipse/problem_2605.png",
+      "answer": "{x^2/4+y^2=1,y^2/16+x^2/4=1}",
+      "fact_expr": "G: Ellipse;H: Point;Coordinate(H) = (2, 0);Length(MajorAxis(G)) = 2*Length(MinorAxis(G));PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2606,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2606.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;Expression(H) = (y = x*(b/a));IsPerpendicular(LineSegmentOf(F2, A), H);A: Point;FootPoint(LineSegmentOf(F2, A), H) = A;B: Point;Intersection(LineSegmentOf(F2, A), G) = B;VectorOf(F2, B) = VectorOf(B, A)",
+      "coords": {}
+    },
+    {
+      "index": 2607,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2607.png",
+      "answer": "24",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/49 + y^2/24 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2608,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2608.png",
+      "answer": "{pm*1, pm*2*sqrt(3)/3}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4);l: Line;Expression(l) = (y = k*(x - 1));k: Number;NumIntersection(l, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2609,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2609.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2610,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2610.png",
+      "answer": "Sin(alpha)/(Sin(gamma)+Sin(beta))",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Focus(G) = {F1,F2};F1: Point;F2: Point;P: Point;PointOnCurve(P,G) = True;Negation(P = Endpoint(MajorAxis(G)));alpha: Number;AngleOf(F1,P,F2) = alpha;beta: Number;AngleOf(P,F1,F2) = beta;gamma: Number;AngleOf(F1,F2,P) = gamma;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2611,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2611.png",
+      "answer": "{x-y-1=0, x+y+1=0}",
+      "fact_expr": "G: Parabola;H: Line;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Focus(G)=F;PointOnCurve(F,H);IsPerpendicular(H,yAxis);Intersection(H, G) = P;TangentOnPoint(P, G)=l;l:Line",
+      "coords": {}
+    },
+    {
+      "index": 2612,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2612.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H: Line;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x = -3);Focus(G) = F;PointOnCurve(F, l);Intersection(l,G)={A,B};Abs(LineSegmentOf(A, B)) = 7;Distance(MidPoint(LineSegmentOf(A,B)), H) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2613,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2613.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2614,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2614.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Parabola;N: Point;F: Point;M: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(Directrix(G), xAxis) = M;PointOnCurve(N, G);Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 2615,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2615.png",
+      "answer": "-5",
+      "fact_expr": "G: Hyperbola;b1: Number;a1: Number;H: Ellipse;A: Point;P: Point;B: Point;M: Point;k1:Number;k2:Number;k3:Number;k4:Number;a1>0;b1>0;Expression(G) = (-y^2/b1^2 + x^2/a1^2 = 1);a> b;b> 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Vertex(G)={A,B};Vertex(H)={A,B};PointOnCurve(P,G);PointOnCurve(M,H);Negation(P=A);Negation(P=B);Negation(M=A);Negation(M=B);lambda:Real;VectorOf(A, P) + VectorOf(B, P) = lambda*(VectorOf(A, M) + VectorOf(B, M));Slope(LineOf(A,P))=k1;Slope(LineOf(B,P))=k2;Slope(LineOf(A,M))=k3;Slope(LineOf(B,M))=k4;k1+k2=5;a:Number;b:Number",
+      "coords": {}
+    },
+    {
+      "index": 2616,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2616.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/3 = 1);L: Line;PointOnCurve(LowerFocus(G), L);H: Circle;Expression(H) = (y - 3*x + x^2 + y^2 + 3/2 = 0);IsTangent(L, H)",
+      "coords": {}
+    },
+    {
+      "index": 2617,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2617.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(Asymptote(G)) = (y = pm*(x/2))",
+      "coords": {}
+    },
+    {
+      "index": 2618,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2619,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2619.png",
+      "answer": "5/2",
+      "fact_expr": "M: Point;Coordinate(M) = (-3, 2);G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;Q: Point;PointOnCurve(Q, G)",
+      "coords": {
+        "M": [
+          -3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2620,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2620.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "H: Parabola;Expression(H) = (x^2 = 4*y);A: Point;Intersection(SymmetryAxis(H), Directrix(H)) = A;B: Point;Focus(H) = B;P: Point;PointOnCurve(P, H);IsTangent(LineSegmentOf(P, A), H);G: Hyperbola;PointOnCurve(P, G);Focus(G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2621,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2621.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2;PointOnCurve(RightFocus(G),H);IsPerpendicular(H,xAxis);Length(InterceptChord(H,G))=m;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 2622,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2623,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2624,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2624.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;C: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(C, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(C, F1)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2625,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2625.png",
+      "answer": "x^2/15 + y^2/10 = 1",
+      "fact_expr": "G: Ellipse;H: Point;Coordinate(H) = (3,-2);C:Curve;Expression(C)=(x^2/9+y^2/4=1);Focus(C)=Focus(G);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          3.0,
+          -2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2626,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2626.png",
+      "answer": "34/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, G);Distance(P, LeftDirectrix(G)) = 16/5",
+      "coords": {}
+    },
+    {
+      "index": 2627,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.8284271247461903
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2627.png",
+      "answer": "x^2/8+y^2/2=1",
+      "fact_expr": "G: Circle;Q: Point;P: Point;M:Point;Expression(G) = (x^2 + y^2 = 8);PointOnCurve(P,G);L:Line;PointOnCurve(P,L);IsPerpendicular(L,xAxis);FootPoint(L,xAxis)=Q;MidPoint(LineSegmentOf(P,Q))=M",
+      "coords": {}
+    },
+    {
+      "index": 2628,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2628.png",
+      "answer": "(-5, 0)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-6*x + x^2 + y^2 + 8 = 0);Center(H) = OneOf(Focus(G));Length(MinorAxis(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 2629,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2629.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*x);G: Hyperbola;Expression(G) = (-y^2/3 + x^2/m = 1);m: Number;Directrix(H) = OneOf(Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 2630,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2630.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;C:Ellipse;b: Number;a: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y^2 = 8*x);Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(H),C);Focus(G)=Focus(C)",
+      "coords": {}
+    },
+    {
+      "index": 2631,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2631.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;a: Number;G: Point;Expression(C) = (y^2/4 + x^2/a^2 = 1);Coordinate(G) = (2, 0);OneOf(Focus(C)) = G",
+      "coords": {
+        "G": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2632,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2632.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (m, 2*sqrt(3));PointOnCurve(P, G);Focus(G) = F;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 2633,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2633.png",
+      "answer": "x = 1-\\sqrt{2}",
+      "fact_expr": "G: Parabola;H: Ellipse;b: Number;P: Point;F1: Point;F2: Point;O:Origin;0 < b;b < 1;Expression(H) = (x^2 + y^2/b^2 = 1);LeftFocus(H) = F1;RightFocus(H)=F2;Vertex(G) = O;Focus(G)=F2;Intersection(G, H) = P;AngleOf(P, F1, F2) = ApplyUnit(45, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2634,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2634.png",
+      "answer": "33",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/64 - y^2/36 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Abs(LineSegmentOf(P, F1)) = 17",
+      "coords": {}
+    },
+    {
+      "index": 2635,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2636,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2636.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;Expression(G) = (x^2/2 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2637,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2637.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;F: Point;B: Point;p>0;k:Number;k>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Slope(l)=k;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = (3/2)*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 2638,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2638.png",
+      "answer": "[2, 2*sqrt(2))\n0",
+      "fact_expr": "C: Ellipse;H: Line;x0: Number;y0: Number;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/2 + y^2 = 1);Expression(H) = (y*y0 + (x*x0)/2 = 1);Coordinate(P) = (x0, y0);Focus(C) = {F1, F2};0 < x0^2/2 + y0^2",
+      "coords": {}
+    },
+    {
+      "index": 2639,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2639.png",
+      "answer": "6",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F: Point;RightFocus(C) = F;P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (5, 8)",
+      "coords": {
+        "A": [
+          5.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 2640,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2641,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2641.png",
+      "answer": "2*sqrt(2)-2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 0);Focus(G)=F;PointOnCurve(P,G);Abs(LineSegmentOf(P,A))=2*Abs(LineSegmentOf(P,F))",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2642,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2643,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2643.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 8*x);Coordinate(M) = (x0, y0);PointOnCurve(M, G);Distance(M, Focus(G)) = 6;O:Origin;x0:Number;y0:Number",
+      "coords": {}
+    },
+    {
+      "index": 2644,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2644.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "O: Origin;F: Point;G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(G))=F;L:Line;PointOnCurve(F,L);IsPerpendicular(L,OneOf(Asymptote(G)));PointOnCurve(FootPoint(L,OneOf(Asymptote(G))),PerpendicularBisector(LineSegmentOf(O,F)))",
+      "coords": {}
+    },
+    {
+      "index": 2645,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2645.png",
+      "answer": "(3+2*sqrt(2),2+2*sqrt(2))",
+      "fact_expr": "G: Parabola;M: Point;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (7, 6);PointOnCurve(P, G);Negation(P=Vertex(G));L:Line;PointOnCurve(P,L);IsPerpendicular(L,yAxis);FootPoint(L,yAxis)=Q;WhenMin(Length(LineSegmentOf(P,M))+Length(LineSegmentOf(P,Q)))",
+      "coords": {
+        "M": [
+          7.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 2646,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2647,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2648,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2649.png",
+      "answer": "6",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);F1: Point;LeftFocus(C) = F1;Q: Point;Vertex(C) = Q;Coordinate(Q) = (0, 2*sqrt(3));P: Point;PointOnCurve(P, RightPart(C))",
+      "coords": {
+        "Q": [
+          0.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 2650,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2650.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;A: Point;PointOnCurve(A, G) = True;F: Point;Focus(G) = F;Distance(A, F) = 2;IsDiameter(LineSegmentOf(A, F), V) = True;V: Circle;Intersection(V, yAxis) = H;H: Point;Coordinate(H) = (0, 1)",
+      "coords": {
+        "H": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2651,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_2651.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(H) = sqrt(3)/2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2652,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2652.png",
+      "answer": "sqrt(30)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 2*y^2 = 4);IsChordOf(LineSegmentOf(A, B), G);Coordinate(MidPoint(LineSegmentOf(A, B))) = (-1, -1);A:Point;B:Point",
+      "coords": {}
+    },
+    {
+      "index": 2653,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2653.png",
+      "answer": "x^2 + y^2/5 = 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;B: Point;A: Point;P:Point;L1:Line;L2:Line;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 1);Coordinate(P) = (1, 1/2);PointOnCurve(Focus(G), yAxis);TangentOfPoint(P,H)={L1,L2};TangentPoint(L1,H)=A;TangentPoint(L2,H)=B;PointOnCurve(UpperFocus(G),LineOf(A,B));PointOnCurve(RightVertex(G),LineOf(A,B))",
+      "coords": {
+        "P": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 2654,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2655,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_2655.png",
+      "answer": "sqrt(5)/2, sqrt(5)",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/4 + y^2/b^2 = 1);Eccentricity(H) = sqrt(3)/2;b: Number;b>0;G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2656,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2656.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2657,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2657.png",
+      "answer": "x**2/9-y**2=1",
+      "fact_expr": "E: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);P: Point;PointOnCurve(P, E);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(LineSegmentOf(P, F1)) * Abs(LineSegmentOf(P, F2)) = 2;Focus(G)={F1,F2}",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2658,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2658.png",
+      "answer": "pi/2",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Q: Point;F: Point;Expression(G) = (y = -x^2/4);Coordinate(P) = (-4, -4);Focus(G) = F;TangentPoint(l,G)=P;Intersection(l,xAxis)=Q",
+      "coords": {
+        "P": [
+          -4.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 2659,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2659.png",
+      "answer": "x^2/20 + y^2/15 = 1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);E: Ellipse;Focus(G) = Focus(E);Length(MajorAxis(E)) = 4*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 2660,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.7608087062835693,
+        "b": 2.1130559371771285,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.5615703236659225e-06,
+        "converged": true,
+        "iterations": 104
+      },
+      "output_path": "results/train/ellipse/problem_2660.png",
+      "answer": "1",
+      "fact_expr": "m: Real;b: Real;P: Point;Coordinate(P) = (sqrt(10)/3, 8/3);H: Ellipse;Expression(H) = (x^2/10 + y^2/m = 1);PointOnCurve(P, H);G: Hyperbola;Expression(G) = (x^2 - y^2/b = 1);Focus(H) = Focus(G)",
+      "coords": {
+        "P": [
+          1.0540925533894598,
+          2.6666666666666665
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2661,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2661.png",
+      "answer": "(pm*sqrt(10), 0)\n(pm*1, 0)\n2\n6\ny=pm*3*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2662,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2662.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Real;Expression(G) = (x^2 - y^2/3 = 1);Expression(H) = (y^2 = 2*(p*x));PointOnCurve(LeftFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 2663,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2663.png",
+      "answer": "16",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Line;A: Point;B: Point;p>0;Expression(C) = (x^2 = 2*p*y);Expression(G) = (x^2 + (y - 1)^2 = 2);Center(G)=Focus(C);PointOnCurve(Focus(C),H);Inclination(H)=ApplyUnit(60,degree);Intersection(H,C)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 2664,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2664.png",
+      "answer": "x-y+2=0",
+      "fact_expr": "IsChordOf(LineSegmentOf(A, B), G) = True;G: Parabola;Expression(G) = (x^2 = y);Expression(PerpendicularBisector(LineSegmentOf(A, B))) = (y = -x + 3);A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 2665,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2665.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/b^2 = 1);b: Number;b>0;P: Point;PointOnCurve(P, C);O: Origin;Min(Abs(LineSegmentOf(O, P))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2666,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2666.png",
+      "answer": "sqrt(3) + 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;c: Number;P: Point;F2: Point;F1: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = (sqrt(3)/3)*(c + x));LeftFocus(C) = F1;RightFocus(C) = F2;FocalLength(C) = 2*c;AngleOf(P, F2, F1) = 2*AngleOf(P, F1, F2);OneOf(Intersection(G, C)) = P;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 2667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2667.png",
+      "answer": "y^2/12 - x^2/24 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;C:Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(H) = (0, 6);Focus(C)=H;Asymptote(C)=Asymptote(G)",
+      "coords": {
+        "H": [
+          0.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 2668,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2668.png",
+      "answer": "y=4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (x^2 = 4*y);IsParallel(xAxis, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 2669,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2669.png",
+      "answer": "4*sqrt(41)",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F1: Point;F2: Point;a:Number;a>5;Expression(G)=(x^2/a^2+y^2/25=1);Focus(G)={F1,F2};PointOnCurve(A,G);PointOnCurve(B,G);PointOnCurve(F1,LineSegmentOf(A,B));Abs(LineSegmentOf(F1, F2)) = 8;IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 2670,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2670.png",
+      "answer": "2/3",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;F1: Point;F2: Point;B: Point;Expression(C) = (x^2/9 + y^2/5 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Incenter(TriangleOf(P, F1, F2)) = A;Intersection(OverlappingLine(LineSegmentOf(P,A)),LineSegmentOf(F1,F2)) = B",
+      "coords": {}
+    },
+    {
+      "index": 2671,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2671.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 2*y^2 = 2);H: Line;PointOnCurve(Focus(G), H);Inclination(H) = ApplyUnit(45, degree);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;Center(G) = O",
+      "coords": {}
+    },
+    {
+      "index": 2672,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2672.png",
+      "answer": "{y=sqrt(2)*x + pm*sqrt(2), y=(sqrt(2)/4)*x+pm*(sqrt(3)/2)}",
+      "fact_expr": "l: Line;C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);P: Point;Q: Point;Intersection(l, C) = {P, Q};Slope(LineOf(P, Q))>0;O: Origin;IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(O, Q));Area(TriangleOf(O, P, Q)) = (2*sqrt(3))/5",
+      "coords": {}
+    },
+    {
+      "index": 2673,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2673.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = -2*x)",
+      "coords": {}
+    },
+    {
+      "index": 2674,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.0,
+        "b": 0.28867513459481287,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.08333333333333333
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2674.png",
+      "answer": "19/20",
+      "fact_expr": "G: Line;H: Curve;P: Point;M: Point;N: Point;Expression(H) = (x^2 + 12*y^2 = 1);Coordinate(P) = (sqrt(10)/2, 0);PointOnCurve(P, G);Intersection(G, H) = {M, N}",
+      "coords": {
+        "P": [
+          1.5811388300841898,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2675,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2675.png",
+      "answer": "(2, 2)",
+      "fact_expr": "M: Point;Coordinate(M) = (3, 2);F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 2*x);P: Point;PointOnCurve(P, G);WhenMin(Perimeter(TriangleOf(P, M, F)))",
+      "coords": {
+        "M": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2676,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2676.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2/2 + x^2/a = 1);Expression(H) = (y^2 = 8*x);Focus(H)=RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2677,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2677.png",
+      "answer": "(3, \\sqrt{10}]",
+      "fact_expr": "C: Hyperbola;A: Point;F1: Point;F2: Point;D: Point;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, RightPart(C));Center(InscribedCircle(TriangleOf(A,F1,F2)))=D;r:Number;Radius(InscribedCircle(TriangleOf(A,F1,F2)))=r;In(r,(0,1])",
+      "coords": {}
+    },
+    {
+      "index": 2678,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2678.png",
+      "answer": "sqrt(15)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Area(TriangleOf(P, F1, F2)) = 1;Tan(AngleOf(P, F1, F2)) = 1/2;Tan(AngleOf(P, F2, F1)) = -2",
+      "coords": {}
+    },
+    {
+      "index": 2679,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2680,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2681,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2681.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "E: Hyperbola;Center(E) = O;O: Origin;Eccentricity(E) = 2;OneOf(Vertex(E)) = Focus(G);G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 2682,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2682.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;M: Point;Expression(C) = (y^2 = 4*x);Intersection(Directrix(C), xAxis) = M;PointOnCurve(M, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(M, A)) = Abs(LineSegmentOf(A, B));Focus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 2683,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2683.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;b: Number;H: Ellipse;a: Number;F1: Point;F: Point;F2: Point;Expression(G) = (y^2 = 2*(b*x));a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(H) = F1;RightFocus(H) = F2;Focus(G) = F;VectorOf(F1, F) = 3*VectorOf(F, F2)",
+      "coords": {}
+    },
+    {
+      "index": 2684,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2684.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "F1: Point;F2: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, L) = True;J: Line;OneOf(Asymptote(C)) = J;Expression(J) = (y = b*x/a);IsPerpendicular(L, J) = True;L: Line;FootPoint(L, J) = P;P: Point;Intersection(L, LeftPart(C)) = Q;Q: Point;IsParallel(LineSegmentOf(O, Q), LineSegmentOf(P, F2)) = True;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2685,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_2685.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Real;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = -12*x);LeftFocus(G) = Focus(H);Expression(Asymptote(G)) = (y = pm*(sqrt(2)*x))",
+      "coords": {}
+    },
+    {
+      "index": 2686,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2687,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2687.png",
+      "answer": "pm*(sqrt(3)/4)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;M: Point;Expression(G) = (x^2/12 + y^2/3 = 1);OneOf(Focus(G)) = F1;PointOnCurve(P, G);MidPoint(LineSegmentOf(P,F1))=M;PointOnCurve(M, yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 2688,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2688.png",
+      "answer": "-3/13",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;H: Line;A: Point;B: Point;O: Origin;PointOnCurve(F, H);Slope(H) = 1/3;Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 2689,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2689.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "alpha: Number;Inclination(H) = alpha;H: Line;G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);Slope(H) = Eccentricity(G)",
+      "coords": {}
+    },
+    {
+      "index": 2690,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2690.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C)=F;O: Origin;P: Point;PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F),LineSegmentOf(O,F))",
+      "coords": {}
+    },
+    {
+      "index": 2691,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2691.png",
+      "answer": "x^2/9 - y^2/7 = 1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Focus(H) = Focus(G);G: Hyperbola;e: Number;Eccentricity(G) = e;e = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 2692,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2692.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2693,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2694,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2694.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (2*x + x^2 + y^2 = 0);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 2695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2695.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "a: Number;b: Number;e1: Number;e2: Number;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = e1;Z: Hyperbola;Expression(Z) = (x^2/b^2 - y^2/a^2 = 1);Eccentricity(Z) = e2",
+      "coords": {}
+    },
+    {
+      "index": 2696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2696.png",
+      "answer": "(pm*2,2)",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (x^2 = 2*y);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = Abs(LineSegmentOf(M, F)) ;Abs(LineSegmentOf(M, F)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 2697,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2697.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C1: Hyperbola;C2: Parabola;P: Point;F2: Point;F1: Point;O: Origin;Expression(C1)=(-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C1)=F1;RightFocus(C1)=F2;Vertex(C2) = O;Directrix(C2)=LeftDirectrix(C1);Intersection(C1,C2)=P;IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2));a: Number;b: Number;a > 0;b > 0",
+      "coords": {}
+    },
+    {
+      "index": 2698,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_2698.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/4 + x^2/a^2 = 1);a: Number;a>0;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 2699,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2699.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A1: Point;A2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C)=A1;RightVertex(C)=A2;Coordinate(A1) = (-3, 0);Coordinate(A2) = (3, 0);PointOnCurve(P,Asymptote(C));Abs(LineSegmentOf(P,A1))=2*Abs(LineSegmentOf(P,A2))",
+      "coords": {
+        "A1": [
+          -3.0,
+          0.0
+        ],
+        "A2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2700,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2700.png",
+      "answer": "(3,2*sqrt(6)), (3,-2*sqrt(6))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2701,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2702,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_2702.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;G: Point;a>0;Expression(C) = (-y^2/12 + x^2/a^2 = 1);Coordinate(G) = (3, sqrt(15));PointOnCurve(G, C)",
+      "coords": {
+        "G": [
+          3.0,
+          3.872983346207417
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2703,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2704,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2705,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2706,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2707,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2707.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*(2*x))",
+      "coords": {}
+    },
+    {
+      "index": 2708,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9550795555114746,
+        "b": 2.8647773265838623,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6550993677810766e-05,
+        "converged": true,
+        "iterations": 144
+      },
+      "output_path": "results/train/hyperbola/problem_2708.png",
+      "answer": "y = pm*3*x",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a > 0;b > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);Eccentricity(C) = sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 2709,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2709.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (3*x + y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 2710,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2710.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3)/2;RightFocus(C)=F;PointOnCurve(F, G);Slope(G)=k;k:Number;k>0;Intersection(G, C) = {A,B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 2711,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2711.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;H: Circle;Z: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2 - y^2/15 = 1);Expression(H) = (y^2 + (x + 4)^2 = 4);Expression(Z) = (y^2 + (x - 4)^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, Z)",
+      "coords": {}
+    },
+    {
+      "index": 2712,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2712.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;F: Point;P: Point;M: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Intersection(SymmetryAxis(C),Directrix(C))=M;Focus(C) = F;PointOnCurve(P, C);Sin(AngleOf(P, F, M)) = lambda*Sin(AngleOf(P, M, F));lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 2713,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2713.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;L1: Line;L2: Line;Asymptote(G) = {L1, L2};IsPerpendicular(L1, L2)",
+      "coords": {}
+    },
+    {
+      "index": 2714,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2714.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/3 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2715,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2715.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "C: Hyperbola;m: Number;G: Circle;m>0;Expression(C) = (-x^2/9 + y^2/m^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 1);IsTangent(G, Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 2716,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2717,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2717.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);M: Point;PointOnCurve(M, G);F1: Point;LeftFocus(G) = F1;Distance(M, F1) = 4;F2: Point;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 2718,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2719,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2719.png",
+      "answer": "(-\\infty,0] \\cup (16/9,+\\infty)",
+      "fact_expr": "C: Hyperbola;M: Point;F1: Point;F2: Point;x1:Number;y1:Number;Negation(x1=pm*5);k1:Number;k2:Number;Expression(C) = (x^2/9 - y^2/16 = 1);Coordinate(M) = (x1, y1);LeftFocus(C) =F1;RightFocus(G)=F2;PointOnCurve(M,C);Slope(LineOf(M,F1))=k1;Slope(LineOf(M,F2))=k2",
+      "coords": {}
+    },
+    {
+      "index": 2720,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2720.png",
+      "answer": "(x+1)^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;F1: Point;M: Point;P: Point;Expression(C) = (x^2/16 + y^2/12 = 1);LeftFocus(C) = F1;PointOnCurve(M, C);MidPoint(LineSegmentOf(F1,M)) = P",
+      "coords": {}
+    },
+    {
+      "index": 2721,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2721.png",
+      "answer": "4/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);Negation(P=A);Negation(P=B);O: Origin;Slope(LineOf(P, A))*Slope(LineOf(P, B)) = 7/9",
+      "coords": {}
+    },
+    {
+      "index": 2722,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2722.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2723,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2723.png",
+      "answer": "2*sqrt(3)-3",
+      "fact_expr": "G: Hyperbola;H: Circle;M: Point;T: Point;F: Point;P: Point;O: Origin;Expression(G) = (x^2/9 - y^2/12 = 1);Expression(H) = (x^2 + y^2 = 9);IsTangent(LineOf(M,T),H);LeftFocus(G)=F;PointOnCurve(F,LineOf(M,T));TangentPoint(LineOf(M,T),H)=T;Intersection(LineOf(M,N),RightPart(G))=M;MidPoint(LineSegmentOf(M, F)) = P",
+      "coords": {}
+    },
+    {
+      "index": 2724,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2725,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2726,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2727,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2727.png",
+      "answer": "-1/2",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 1);k: Number;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;B: Point;Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2728,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2728.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;PointOnCurve(A,G) = True;A: Point;YCoordinate(A) = 4;F: Point;Focus(G) = F;Distance(A,F) = 5;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2729,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2729.png",
+      "answer": "2",
+      "fact_expr": "S: Hyperbola;Expression(S) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;C: Circle;Expression(C) = (x^2 + (y - 4)^2 = 4);IsTangent(Asymptote(S),C)",
+      "coords": {}
+    },
+    {
+      "index": 2730,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2730.png",
+      "answer": "sqrt(10)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;A: Point;B: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A,B))=Abs(LineSegmentOf(B,F2));Abs(LineSegmentOf(B,F2))=4*Abs(LineSegmentOf(B,F1))",
+      "coords": {}
+    },
+    {
+      "index": 2731,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2731.png",
+      "answer": "y = -1/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 2732,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2732.png",
+      "answer": "4",
+      "fact_expr": "A: Point;Coordinate(A) = (3, -1);F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G)",
+      "coords": {
+        "A": [
+          3.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 2733,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2734,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2734.png",
+      "answer": "-50/17",
+      "fact_expr": "H: Line;Expression(H) = (x = t);t: Number;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;Q: Point;Intersection(H, G) = {P, Q};F: Point;LeftFocus(G) = F;WhenMin(DotProduct(VectorOf(F, P), VectorOf(F, Q)))",
+      "coords": {}
+    },
+    {
+      "index": 2735,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2735.png",
+      "answer": "-1/2",
+      "fact_expr": "M: Point;Coordinate(M) = (0, 1);l: Line;PointOnCurve(M, l);C: Ellipse;Expression(C) = (x^2/9 + y^2/5 = 1);A: Point;B: Point;Intersection(l, C) = {A, B};F1: Point;LeftFocus(C) = F1;WhenMax(Perimeter(TriangleOf(A, B, F1)))",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2736,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2736.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Hyperbola;k:Number;B: Point;A: Point;M: Point;Expression(C) = (x^2/2 - y^2/3 = 1);Coordinate(M) = (2, 1);Slope(l)=k;Intersection(l,C) = {A, B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2737,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2738,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2738.png",
+      "answer": "2+sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Line;PointOnCurve(RightFocus(C), G);IsParallel(G, Asymptote(C));P: Point;Intersection(G, C) = P;XCoordinate(P) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 2739,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2739.png",
+      "answer": "x^2/9+y^2/4=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Circle;IsDiameter(LineSegmentOf(F1, F2), H);P: Point;Coordinate(P) = ((3*sqrt(5))/5, (4*sqrt(5))/5);Intersection(H, G) = P",
+      "coords": {
+        "P": [
+          1.3416407864998738,
+          1.788854381999832
+        ]
+      }
+    },
+    {
+      "index": 2740,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2740.png",
+      "answer": "[2,4)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(P) = (x0, y0);Focus(G)={F1,F2};x0:Number;y0:Number;0<x0^2/4+y0^2/3;x0^2/4+y0^2/3<1",
+      "coords": {}
+    },
+    {
+      "index": 2741,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2741.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);Coordinate(OneOf(Focus(G))) = (0, 1)",
+      "coords": {}
+    },
+    {
+      "index": 2742,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2742.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 16)",
+      "coords": {}
+    },
+    {
+      "index": 2743,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2743.png",
+      "answer": "b^3/(4*a)",
+      "fact_expr": "D: Ellipse;a: Number;b: Number;a > b;b > 0;Expression(D) = (x^2/b^2 + y^2/a^2 = 1);M: Point;PointOnCurve(M, D);C: Circle;Expression(C) = (x^2 + y^2 = b^2/2);l1, l2: Line;TangentOfPoint(M, C) = {l1, l2};P: Point;Q: Point;TangentPoint(l1, C) = P;TangentPoint(l2, C) = Q;E: Point;F: Point;Intersection(LineOf(P, Q), xAxis) = E;Intersection(LineOf(P, Q), yAxis) = F;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2744,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2744.png",
+      "answer": "y^2=4*x-4",
+      "fact_expr": "G: Parabola;F: Point;P: Point;Expression(G) = (y^2 = 8*x);Focus(G)=F;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2745,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2745.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2746,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2747,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2747.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;H: Point;P: Point;Expression(G) = (y^2 = x);Coordinate(H) = (9/4, 0);Coordinate(P) = (x1, y1);x1:Number;y1:Number;PointOnCurve(P,G)",
+      "coords": {
+        "H": [
+          2.25,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2748,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2748.png",
+      "answer": "4",
+      "fact_expr": "M: Point;Coordinate(M) = (-2, 8);G: Parabola;Expression(G) = (y^2 = 2*p*x);PointOnCurve(M, Directrix(G));p: Real",
+      "coords": {
+        "M": [
+          -2.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 2749,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2749.png",
+      "answer": "2/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;I: Point;Coordinate(I) = (2, 0);H: Line;PointOnCurve(I, H) = True;Intersection(H, G) = {A, B};A: Point;B: Point",
+      "coords": {
+        "I": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2750,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2750.png",
+      "answer": "4*sqrt(41)",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;a: Number;a > 5;Expression(G) = (y^2/25 + x^2/a^2 = 1);Abs(LineSegmentOf(F1, F2)) = 8;Focus(G) = {F1, F2};IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F1, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 2751,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2751.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=(1/4)*FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 2752,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2753,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2754,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2754.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;Eccentricity(G) = sqrt(2)/2;A: Point;B: Point;C: Point;PointOnCurve(Vertex(TriangleOf(A, B, C)), G);D: Point;E: Point;F: Point;MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = F;k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(A, C))) = k3;Negation(k1*k2*k3=0);O: Origin;Slope(LineOf(O, D)) + Slope(LineOf(O, E)) + Slope(LineOf(O, F)) = -1",
+      "coords": {}
+    },
+    {
+      "index": 2755,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2755.png",
+      "answer": "pm*sqrt(5)/4",
+      "fact_expr": "G: Ellipse;H: Line;k: Number;Expression(G) = (x^2/16 + y^2/4 = 1);Expression(H) = (k*x - y + 3 = 0);IsTangent(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 2756,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2756.png",
+      "answer": "x^2+(y-1)^2=2",
+      "fact_expr": "C: Parabola;P: Point;Q: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Quadrant(P) = 1;PointOnCurve(P, C);Projection(P, Directrix(C)) = Q;Abs(LineSegmentOf(P, Q)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2757,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2757.png",
+      "answer": "4",
+      "fact_expr": "E: Parabola;A: Point;A1: Point;F: Point;S: Point;T: Point;l: Line;Expression(E) = (y^2 = 4*x);Focus(E) = F;Directrix(E) = l;Intersection(l, xAxis) = T;PointOnCurve(A, E);IsPerpendicular(LineSegmentOf(A, A1), l);FootPoint(LineSegmentOf(A, A1), l) = A1;Intersection(LineSegmentOf(A1, F), yAxis) = S;IsParallel(LineSegmentOf(S, T), LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 2758,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2759,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2759.png",
+      "answer": "{x^2/4+y^2=1, y^2/4+x^2=1}",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Length(MajorAxis(C)) = 4;Eccentricity(C) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 2760,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.6924539658341695,
+        "b": 2.223882945759832,
+        "major_axis": "x",
+        "x_coef": 14.999999999999998,
+        "y_coef": 5.000000000000001
+      },
+      "optimization": {
+        "final_loss": 1.845880297380376e-05,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/train/ellipse/problem_2760.png",
+      "answer": "x^2/15 + y^2/5 = 1",
+      "fact_expr": "C: Ellipse;PointOnCurve(Focus(C), axis) = True;A: Point;Coordinate(A) = (-sqrt(3), -2);B: Point;Coordinate(B) = (-2*sqrt(3), 1);PointOnCurve(A, C) = True;PointOnCurve(B, C) = True",
+      "coords": {
+        "A": [
+          -1.7320508075688772,
+          -2.0
+        ],
+        "B": [
+          -3.4641016151377544,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2761,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2761.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "T: Parabola;p: Number;C: Circle;p>0;Expression(T) = (y^2 = 2*(p*x));Expression(C) = (-4*y + x^2 + y^2 - 4 = 0);Length(InterceptChord(Directrix(T), C)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2762,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2762.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;O: Origin;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Focus(G)=F;PointOnCurve(P,G);IsTangent(CircumCircle(TriangleOf(O,P,F)),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 2763,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2764,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2764.png",
+      "answer": "(-sqrt(2)/2, sqrt(2)/2)",
+      "fact_expr": "G: Ellipse;H: Line;M: Point;A: Point;B: Point;Expression(G) = (x^2/9 + y^2/7 = 1);Slope(H)= -1/3;Intersection(H,G)={A,B};Negation(A=B);PointOnCurve(M,yAxis);Abs(LineSegmentOf(M,A))=Abs(LineSegmentOf(M,B))",
+      "coords": {}
+    },
+    {
+      "index": 2765,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2765.png",
+      "answer": "(3/2)*p",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;Length(LineSegmentOf(A, B)) = 4*p;Endpoint(LineSegmentOf(A, B)) = {A, B};PointOnCurve(A, C);PointOnCurve(B, C);M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 2766,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2766.png",
+      "answer": "{4,1/4}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2 + y^2/m = 1);Eccentricity(G) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 2767,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2767.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/3 + x^2/a^2 = 1);a: Number;a>sqrt(3);F: Point;RightFocus(G) = F;A: Point;RightVertex(G) = A;e: Number;1/Abs(LineSegmentOf(O, F)) + 1/Abs(LineSegmentOf(O, A)) = (3*e)/Abs(LineSegmentOf(F, A));O: Origin;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2768,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2768.png",
+      "answer": "(1, 3]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2));Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 2769,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2769.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;M: Point;P: Point;L:Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;PointOnCurve(F,L);IsPerpendicular(Asymptote(C),L);FootPoint(Asymptote(C),L)=M;Intersection(OverlappingLine(LineSegmentOf(F,M)),yAxis)=P;Abs(LineSegmentOf(F, M)) = 4*Abs(LineSegmentOf(P, M))",
+      "coords": {}
+    },
+    {
+      "index": 2770,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2770.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/16 + y^2/12 = 1);PointOnCurve(M,G);LeftFocus(G)=F1;Distance(M,F1)=6;MidPoint(LineSegmentOf(M,F1))=N",
+      "coords": {}
+    },
+    {
+      "index": 2771,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2772,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2772.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;P: Point;A1: Point;A2:Point;Expression(G) = (x^2 - y^2 = 6);LeftVertex(G)=A1;RightVertex(G)=A2;PointOnCurve(P,RightPart(G));Quadrant(P)=1;k1:Number;k2:Number;Slope(LineOf(P,A1))=k1;Slope(LineOf(P,A2))=k2",
+      "coords": {}
+    },
+    {
+      "index": 2773,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2774,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2774.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;C1: Circle;A: Point;P: Point;B: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Expression(C1)=((x-1)^2+y^2=1);Coordinate(A) = (-3, -sqrt(5));PointOnCurve(P, C);PointOnCurve(B,C1)",
+      "coords": {
+        "A": [
+          -3.0,
+          -2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 2775,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2775.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y = x^2/8);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 10;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2776,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2776.png",
+      "answer": "x^2/5+y^2=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x - 2*y + 2 = 0);PointOnCurve(OneOf(Vertex(G)),H);PointOnCurve(OneOf(Focus(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 2777,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2777.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "G: Parabola;p: Number;p>0;Expression(G) = (y^2 = 2*(p*x));P: Point;PointOnCurve(P, G);XCoordinate(P) = 1;Distance(P, Vertex(G)) = Distance(P, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 2778,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2778.png",
+      "answer": "x = pm*1/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2779,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2779.png",
+      "answer": "[(sqrt(5)+1)/2,sqrt(3))",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;O: Origin;B: Point;A: Point;F: Point;e: Number;b > a;a > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F, l);Intersection(l, RightPart(C)) = {A, B};DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 2780,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2780.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;M: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Focus(G) ={F1,F2};PointOnCurve(M, G);Abs(LineSegmentOf(M, F1)) - Abs(LineSegmentOf(M, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2781,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2781.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Q: Point;M: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Endpoint(RealAxis(G)) = {M, N};PointOnCurve(Q, G);Negation(Q = M);Negation(Q = N);Tan(AngleOf(Q, M, N))*Tan(AngleOf(Q, N, M)) = -2",
+      "coords": {}
+    },
+    {
+      "index": 2782,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2782.png",
+      "answer": "x^2/3 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;P: Point;C:Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);Coordinate(P) = (2, 1);Focus(G)=Focus(C);PointOnCurve(P,C)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2783,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2783.png",
+      "answer": "y=pm*2*sqrt(2)*x",
+      "fact_expr": "LeftFocus(C) = F1;RightFocus(C) = F2;F1: Point;F2: Point;C: Hyperbola;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;P: Point;Quadrant(P) = 1;PointOnCurve(P, Asymptote(C)) = True;Abs(LineSegmentOf(P, F1)) = lambda*Abs(LineSegmentOf(P, F2));lambda: Number;Min(lambda) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 2784,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2785,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2785.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;p: Number;G: Line;F: Point;P: Point;A: Point;B: Point;Expression(C) = (y^2 = 2*p*x);Coordinate(F) = (1, 0);Focus(C) = F;PointOnCurve(F,G);Intersection(G, C) = {A, B};Intersection(TangentOnPoint(A,C),Directrix(C))=P;Abs(LineSegmentOf(P, F)) = sqrt(5)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2786,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2786.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Line;M: Point;F2: Point;N: Point;F: Point;Expression(G) = (x^2/4 - y^2/3 = 1);LeftFocus(G)=F;PointOnCurve(F, H);Intersection(H,LeftPart(G)) = {M, N};RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 2787,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2787.png",
+      "answer": "8+sqrt(2)",
+      "fact_expr": "F: Point;Coordinate(F) = (2, 0);RightFocus(G) = F;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;L: LineSegment;PointOnCurve(F,L) = True;IsPerpendicular(L,xAxis) = True;IsChordOf(L,G) = True;Length(L) = 6;A: Point;Coordinate(A) = (-2, sqrt(2));M: Point;PointOnCurve(M, G) = True",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ],
+        "A": [
+          -2.0,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2788,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2789,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2790,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2790.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2791,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2791.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;C: Point;B: Point;F: Point;A: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H,G)={A,B};PointOnCurve(C,Directrix(G));VectorOf(C,B)=2*VectorOf(B,F)",
+      "coords": {}
+    },
+    {
+      "index": 2792,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2793,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2793.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, RightPart(G));H: Circle;Expression(H) = (y^2 + (x + 5)^2 = 4);K:Circle;Expression(K) = (y^2 + (x - 5)^2 = 1);M: Point;N: Point;PointOnCurve(M, H);PointOnCurve(N, K)",
+      "coords": {}
+    },
+    {
+      "index": 2794,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2794.png",
+      "answer": "x=-1",
+      "fact_expr": "H: Line;Expression(H) = (x - y - 2 = 0);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;Coordinate(M) = (4, 2);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2795,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2795.png",
+      "answer": "20/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2796.png",
+      "answer": "pm*4",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;y0: Number;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (2, y0);PointOnCurve(P, C);Focus(C) = F;Abs(LineSegmentOf(P, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 2797,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2797.png",
+      "answer": "x^2/20+y^2/16=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;P:Point;B: Point;A: Point;L1:Line;L2:Line;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 4);PointOnCurve(Focus(G), xAxis);Coordinate(P)=(2,1);TangentOfPoint(P,H)={L1,L2};TangentPoint(L1,H)=A;TangentPoint(L2,H)=B;PointOnCurve(RightFocus(G),LineOf(A,B));PointOnCurve(UpperVertex(G),LineOf(A,B))",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2798,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2798.png",
+      "answer": "(0,pm*2*sqrt(2))",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/8 = 1);P: Point;PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P,F1), LineSegmentOf(P, F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 2799,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.25
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2799.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2800,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2800.png",
+      "answer": "12/5",
+      "fact_expr": "l: Line;G: Ellipse;P: Point;A: Point;B: Point;Q: Point;O: Origin;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(P) = (1, 1);PointOnCurve(P, l);Intersection(l, G) = {A, B};VectorOf(A,P)=lambda*VectorOf(P,B);lambda:Number;VectorOf(A,Q)=-lambda*VectorOf(Q,B)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2801,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2801.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;Q: Point;O: Origin;Expression(C) = (x^2/3 + y^2/2 = 1);Coordinate(P) = (x1,y1);Coordinate(Q) = (x2,y2);Intersection(l, C) = {P,Q};Negation(P=Q);Area(TriangleOf(O, P, Q)) = sqrt(6)/2;x1:Number;y1:Number;x2:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 2802,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2802.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;O: Origin;F: Point;M: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C)=F;PointOnCurve(M, C);IsTangent(CircumCircle(TriangleOf(O,F,M)),Directrix(C));Area(CircumCircle(TriangleOf(O,F,M))) = 9*pi",
+      "coords": {}
+    },
+    {
+      "index": 2803,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2803.png",
+      "answer": "(-sqrt(3), -3/2) + (3/2, sqrt(3))",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;b>0;Expression(C) = (x^2/4 - y^2/b^2 = 1);Expression(l) = (y = sqrt(3)*(x -1 ));NumIntersection(l, RightPart(C)) = 2;k: Number;Slope(Asymptote(C)) = k",
+      "coords": {}
+    },
+    {
+      "index": 2804,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2804.png",
+      "answer": "sqrt(5)/2\ny=pm*(1/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2805,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2805.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G);x1:Number;y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 2806,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2806.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);Slope(l) = sqrt(2);A: Point;B: Point;Intersection(l, G) = {A, B};S: Circle;IsDiameter(LineSegmentOf(A, B), S) = True;M: Point;N: Point;Intersection(S, yAxis) = {M, N};H: Point;MidPoint(LineSegmentOf(A,B)) = H",
+      "coords": {}
+    },
+    {
+      "index": 2807,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2807.png",
+      "answer": "(0,1/4)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y)",
+      "coords": {}
+    },
+    {
+      "index": 2808,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2808.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;B: Point;F2: Point;A: Point;F1: Point;0 < b;b < 2;Expression(G) = (x^2/4 + y^2/b^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B};Max(Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2))) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2809,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2809.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/5 - y^2/4 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2810,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2810.png",
+      "answer": "-9",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/16 + y^2/m = 1);Eccentricity(G) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 2811,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2811.png",
+      "answer": "10",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/49 + y^2/24 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2812,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2813,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2814,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2814.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Hyperbola;B: Point;A: Point;Expression(G) = (-x^2/8 + y^2/16 = 1);PointOnCurve(OneOf(Focus(G)),l);IsPerpendicular(l,RealAxis(G));Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2815,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2815.png",
+      "answer": "y^2 = 16*x",
+      "fact_expr": "G: Ellipse;H: Line;M: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Expression(H) = (x = -4);Distance(M, RightFocus(G)) = Distance(M, H)",
+      "coords": {}
+    },
+    {
+      "index": 2816,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2816.png",
+      "answer": "[3, 4]",
+      "fact_expr": "C: Ellipse;F1: Point;A: Point;F2: Point;B: Point;lambda: Number;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, C);PointOnCurve(B, C);VectorOf(F1, A) = lambda*VectorOf(F2, B);In(lambda, [1/3, 3])",
+      "coords": {}
+    },
+    {
+      "index": 2817,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2817.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (x^2/2 - y^2/m = 1);Distance(OneOf(Vertex(G)), Asymptote(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2818,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2819,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2819.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;m: Number;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (8*y - 4*x + x^2 + y^2 + 19 = 0);Coordinate(A) = (3, m);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(Center(H), G)",
+      "coords": {}
+    },
+    {
+      "index": 2820,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2821,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2822,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2823,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2824,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2825,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2825.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(Q) = (0, 3);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 2826,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2827,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2827.png",
+      "answer": "pm*sqrt(2)/2",
+      "fact_expr": "E: Parabola;p: Number;p > 0;Expression(E) = (y^2 = 2*p*x);F: Point;Focus(E) = F;L: Line;PointOnCurve(F, L);A: Point;B: Point;Intersection(L, E) = {A, B};H: Circle;Expression(H) = ((x-p/2)^2 + y^2 = p^2);C: Point;D: Point;Abs(LineSegmentOf(A, B)) = 3*Abs(LineSegmentOf(C, D))",
+      "coords": {}
+    },
+    {
+      "index": 2828,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2828.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);H: Line;Expression(H) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 2829,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2829.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B1: Point;B2:Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LowerVertex(G)=B1;UpperVertex(G)=B2;PointOnCurve(P, G);Slope(LineOf(P,B1))=1/4;Slope(LineOf(P,B2))=-1",
+      "coords": {}
+    },
+    {
+      "index": 2830,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2831,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2831.png",
+      "answer": "2",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/5 + y^2/p^2 = 1);G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;PointOnCurve(LeftFocus(H), Directrix(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 2832,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2832.png",
+      "answer": "34/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/100 + y^2/36 = 1);P: Point;PointOnCurve(P, G);Distance(P, RightDirectrix(G)) = 17/2",
+      "coords": {}
+    },
+    {
+      "index": 2833,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2833.png",
+      "answer": "{(6,6*sqrt(2)),(6,-6*sqrt(2))}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x);P:Point;PointOnCurve(P,G);Distance(P,Focus(G))=9",
+      "coords": {}
+    },
+    {
+      "index": 2834,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2834.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Parabola;p: Number;F: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (0, 2);Focus(G) = F;MidPoint(LineSegmentOf(F,A))=B;PointOnCurve(B, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 2835,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2835.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (1, 4/3);PointOnCurve(P, Asymptote(G))",
+      "coords": {
+        "P": [
+          1.0,
+          1.3333333333333333
+        ]
+      }
+    },
+    {
+      "index": 2836,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2837,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_2837.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Inclination(OneOf(Asymptote(G))) = ApplyUnit(45, degree);H: Point;Coordinate(H) = (3, 1);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          3.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 2838,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2838.png",
+      "answer": "{0,pm*1}",
+      "fact_expr": "l: Line;G: Parabola;H: Point;Expression(G) = (y^2 = 4*x);Coordinate(H) = (-1, 0);PointOnCurve(H,l);NumIntersection(l, G) = 1",
+      "coords": {
+        "H": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2839,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2839.png",
+      "answer": "(pm*5,0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2840,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2841,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2842,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2842.png",
+      "answer": "3",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/12 + y^2/m = 1);m: Number;G: Hyperbola;Expression(G) = (x^2 - 8*y^2 = 8);Focus(H) =Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 2843,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2843.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;p: Number;M: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (2, 1);Slope(l)= 2;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2844,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2844.png",
+      "answer": "1, 9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/8 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1=F2);Distance(P, F1) = 10;N: Point;MidPoint(LineSegmentOf(P, F1)) = N;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 2845,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2845.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(m*x));m: Number;m>0;F: Point;Focus(G) = F;L: Line;PointOnCurve(F, L) = True;Intersection(L, G) = {A, B};A: Point;B: Point;H: Circle;IsDiameter(LineSegmentOf(A,B),H) = True;Expression(H) = (x^2+y^2-2*x-2*t*y+t^2-15=0);t: Number",
+      "coords": {}
+    },
+    {
+      "index": 2846,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2846.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Parabola;O: Origin;P: Point;F: Point;Expression(C) = (y^2 = 4*x);PointOnCurve(P, C);Focus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 2847,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2847.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2)) = I;2*(Area(TriangleOf(P, F1, I)) - Area(TriangleOf(P, F2, I))) = Area(TriangleOf(F1, F2, I))",
+      "coords": {}
+    },
+    {
+      "index": 2848,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2848.png",
+      "answer": "16/3",
+      "fact_expr": "l: Line;G: Parabola;P: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (1, 0);Inclination(l) = ApplyUnit(60, degree);Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(P, l)",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2849,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2849.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 6*x);H: Circle;P: Point;Coordinate(P) = (-2, 1);Center(H) = P;Length(InterceptChord(Directrix(G), H)) = sqrt(3)",
+      "coords": {
+        "P": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2850,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2850.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;O: Origin;M: Point;F: Point;y1:Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (4, y1);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = 5",
+      "coords": {}
+    },
+    {
+      "index": 2851,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2852,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2852.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;p: Number;B: Point;A: Point;F: Point;M: Point;N: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Directrix(G) = l;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = pi/2;MidPoint(LineSegmentOf(A, B)) = M;Projection(M, l) = N",
+      "coords": {}
+    },
+    {
+      "index": 2853,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2853.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;Expression(C)=(x^2 = 2*(p*y));F:Point;Focus(C)=F;M: Point;N: Point;L:Line;PointOnCurve(F,L);Intersection(L, C) = {M, N};Abs(LineSegmentOf(M, N)) = 8;p:Number;p>0",
+      "coords": {}
+    },
+    {
+      "index": 2854,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2854.png",
+      "answer": "y = pm*x",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Length(RealAxis(C)) = Length(ImageinaryAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 2855,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2856,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2856.png",
+      "answer": "9*sqrt(6)+6",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/8 = 1);Coordinate(A) = (0, 6*sqrt(6));RightFocus(C) = F;PointOnCurve(P, LeftPart(C));PointOnCurve(A, yAxis)",
+      "coords": {
+        "A": [
+          0.0,
+          14.696938456699067
+        ]
+      }
+    },
+    {
+      "index": 2857,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_2857.png",
+      "answer": "y^2/4-x^2=1",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*2*x);Coordinate(OneOf(Focus(G))) = (0, sqrt(5))",
+      "coords": {}
+    },
+    {
+      "index": 2858,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2858.png",
+      "answer": "x^2/9+y^2/8=1",
+      "fact_expr": "M: Circle;M1:Point;C1:Circle;C2:Circle;Expression(C1)=((x+1)^2+y^2=1);Expression(C2)=((x-1)^2+y^2=25);IsOutTangent(M,C1);IsInTangent(M,C2);Center(M)=M1",
+      "coords": {}
+    },
+    {
+      "index": 2859,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2859.png",
+      "answer": "(pm*2, 0)",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(M, F1)) = 3*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2860,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.3559478327666556,
+        "b": 2.4609801193339877,
+        "major_axis": "y",
+        "x_coef": 5.999999999999999,
+        "y_coef": 10.000000000000002
+      },
+      "optimization": {
+        "final_loss": 2.7979567391100454e-05,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/ellipse/problem_2860.png",
+      "answer": "y^2/10 + x^2/6 = 1",
+      "fact_expr": "G: Ellipse;H: Point;I: Point;O: Origin;Coordinate(H) = (-3/2, 5/2);Coordinate(I) = (sqrt(3), sqrt(5));Center(G) = O;SymmetryAxis(G)=axis;PointOnCurve(H,G);PointOnCurve(I,G)",
+      "coords": {
+        "H": [
+          -1.5,
+          2.5
+        ],
+        "I": [
+          1.7320508075688772,
+          2.23606797749979
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 2861,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2861.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;D: Point;A: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;UpperVertex(C)=A;PointOnCurve(F1,LineSegmentOf(F1,D));IsPerpendicular(LineSegmentOf(F1,D),LineSegmentOf(A,F2));FootPoint(LineSegmentOf(F1,D),LineSegmentOf(A,F2))=D;Abs(LineSegmentOf(F2, D)) = Abs(LineSegmentOf(F1, F2))/2",
+      "coords": {}
+    },
+    {
+      "index": 2862,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2862.png",
+      "answer": "{1,4/5}",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/b^2 = 1);b: Number;3 > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;O: Origin;PointOnCurve(P, C) = True;P: Point;Intersection(OverlappingLine(LineSegmentOf(P,F2)),C) = A;A: Point;Abs(LineSegmentOf(O, F1)) = Abs(LineSegmentOf(O, A));Area(TriangleOf(O,F1,A)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2863,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2864,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2865,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2865.png",
+      "answer": "[1, 3/2)",
+      "fact_expr": "l: Line;C: Hyperbola;A: Point;F: Point;Expression(C) = (x^2 - y^2/3 = 1);RightFocus(C) = F;PointOnCurve(F, l);Intersection(l, RightPart(C)) = A;NumIntersection(l, LeftPart(C)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2866,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2866.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;T: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);TangentPoint(l, G) = T;Intersection(l, RightPart(C)) = P;VectorOf(F1, P) = 3*VectorOf(F1, T)",
+      "coords": {}
+    },
+    {
+      "index": 2867,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2867.png",
+      "answer": "{4*sqrt(3)/3,4*sqrt(3)}",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 + y^2/4 = 1);PointOnCurve(P, G);LeftFocus(G)=F1;RightFocus(G)=F2;Radius(CircumCircle(TriangleOf(F1,P,F2)))=4",
+      "coords": {}
+    },
+    {
+      "index": 2868,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2869,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2869.png",
+      "answer": "4/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 2870,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2870.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/m = 1);m: Number;PointOnCurve(Focus(G), yAxis);Length(MajorAxis(G)) = 2*Length(MinorAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 2871,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2871.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;M: Point;N: Point;H:LineSegment;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(P) = (1, 1);IsChordOf(H,C);Intersection(H, C) = {M, N};Abs(LineSegmentOf(M, N)) = sqrt(15);MidPoint(H)=P;P:Point",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2872,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2872.png",
+      "answer": "y^2 = 32*x/5",
+      "fact_expr": "C2: Parabola;p: Number;C1: Circle;A: Point;B: Point;p > 0;Expression(C2) = (y^2 = 2*(p*x));Expression(C1) = (x^2 + (y - 2)^2 = 4);Intersection(C1, C2) = {A, B};Abs(LineSegmentOf(A, B)) = 8*sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 2873,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2873.png",
+      "answer": "{17,1}",
+      "fact_expr": "G: Hyperbola;H: Point;I: Point;P: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(H) = (5, 0);Coordinate(I) = (-5, 0);PointOnCurve(P, G);Distance(P, H) = 9",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ],
+        "I": [
+          -5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2874,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2874.png",
+      "answer": "6",
+      "fact_expr": "H: Circle;Expression(H) = (x^2 + y^2 - 9 = 0);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 2875,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.581065485469099,
+        "b": 1.581065485469099,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6812139285133018e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_2875.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;F1: Point;Coordinate(F1) = (-sqrt(5), 0);F2: Point;Coordinate(F2) = (sqrt(5), 0);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {
+        "F1": [
+          -2.23606797749979,
+          0.0
+        ],
+        "F2": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2876,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2877,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_2877.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "G: Ellipse;PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 1/2;Length(MajorAxis(G)) = Radius(H);H: Circle;Expression(H) = (-2*x + x^2 + y^2 - 15 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 2878,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2879,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2880,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2880.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - 16*y^2/p^2 = 1);p: Number;p>0;H: Parabola;Expression(H) = (y^2 = 2*p*x);PointOnCurve(LeftFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 2881,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2881.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;IsDiameter(LineSegmentOf(O, F), G) = True;G: Circle;O: Origin;L1: Line;L2: Line;Asymptote(C) = {L1, L2};Intersection(G, L1) = A;Intersection(G, L2) = B;Negation(A = O);Negation(B = O);A: Point;B: Point;Area(TriangleOf(O, A, B)) = a*b/4",
+      "coords": {}
+    },
+    {
+      "index": 2882,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2882.png",
+      "answer": "12/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/49 + y^2/24 = 1);LeftFocus(C) = F1;F1: Point;RightFocus(C) = F2;F2: Point;P: Point;PointOnCurve(P,C) = True;Quadrant(P) = 1;IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2)) = True;Intersection(OverlappingLine(LineSegmentOf(P,F2)),C) = Q;Q: Point",
+      "coords": {}
+    },
+    {
+      "index": 2883,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2884,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2884.png",
+      "answer": "(\\sqrt{5}, +\\infty)",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Slope(l)=2;PointOnCurve(RightFocus(G),l);IsIntersect(l,LeftPart(G));IsIntersect(l,RightPart(G));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2885,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2886,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2886.png",
+      "answer": "(3,0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 6)",
+      "coords": {}
+    },
+    {
+      "index": 2887,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2887.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);IsIntersect(H, G);M: Point;N: Point;Min(Length(InterceptChord(H, G))) = Abs(LineSegmentOf(M, N));Abs(LineSegmentOf(M, N)) = 32/5;Perimeter(TriangleOf(M, F2, N)) = 20;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2888,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2888.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;E: Ellipse;A: Point;B: Point;O:Origin;Expression(C) = (y^2 = 8*x);Center(E)=O;Eccentricity(E)=1/2;RightFocus(E) = Focus(C);Intersection(Directrix(C),E)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 2889,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2889.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;Expression(G)=(x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2890,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2890.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 8*y);P: Point;PointOnCurve(P, Directrix(C));A: Point;B: Point;TangentOfPoint(P, C) = {LineOf(P, A), LineOf(P, B)};TangentPoint(LineOf(P, A), C) = A;TangentPoint(LineOf(P, B), C) = B",
+      "coords": {}
+    },
+    {
+      "index": 2891,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2891.png",
+      "answer": "3/4",
+      "fact_expr": "G: Hyperbola;P: Point;M: Point;N: Point;Expression(G) = (x^2/4 - y^2/3 = 1);Negation(P=M);Negation(P=N);Endpoint(RealAxis(G)) = {M, N};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2892,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2893,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2894,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2894.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;Coordinate(A) = (0, -3);P: Point;PointOnCurve(P, C);M: Point;IsPerpendicular(LineSegmentOf(P, M), l);FootPoint(LineSegmentOf(P, M), l) = M",
+      "coords": {
+        "A": [
+          0.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 2895,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2895.png",
+      "answer": "[1,2]",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2 + y^2/2 = 1);Coordinate(P) = (m, n);PointOnCurve(P, G);m:Number;n:Number",
+      "coords": {}
+    },
+    {
+      "index": 2896,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2897,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2897.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;a: Number;N: Point;M: Point;F: Point;a>0;Expression(C) = (y^2 + x^2/a^2 = 1);Coordinate(F) = (-1, 0);Coordinate(N) = (3, 2);OneOf(Focus(C))=F;PointOnCurve(M,C);WhenMax(Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(M, N)))",
+      "coords": {
+        "F": [
+          -1.0,
+          0.0
+        ],
+        "N": [
+          3.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2898,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2899,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2899.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;M: Point;P: Point;A: Point;B: Point;F1:Point;F2: Point;l1:Line;l2:Line;x1:Number;y1:Number;Expression(G) = (x^2/4 - y^2/b^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F2,l);IsPerpendicular(l,xAxis);Asymptote(G)={l1,l2};Intersection(l,l1)=A;Intersection(l,l2)=B;Coordinate(M) = (4, 1);Coordinate(P) = (x1, y1);Abs(LineSegmentOf(A, B)) = 3*sqrt(5);PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2900,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2900.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, LeftPart(C));LeftFocus(C) = F1;RightFocus(C) = F2;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;MidPoint(LineSegmentOf(P, F2)) = N;Quadrant(N) = 1;PointOnCurve(N, OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 2901,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2901.png",
+      "answer": "pm*sqrt(15)/7",
+      "fact_expr": "G: Hyperbola;H: Circle;F1: Point;P: Point;M: Point;Expression(G) = (x^2/9 - y^2/7 = 1);Expression(H) = (x^2 + y^2 = 16);LeftFocus(G) = F1;PointOnCurve(P,RightPart(G));Intersection(LineSegmentOf(P,F1),H) = M;VectorOf(F1, M) = VectorOf(M, P)",
+      "coords": {}
+    },
+    {
+      "index": 2902,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2902.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;E: Circle;c: Number;P: Point;F: Point;M: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(E) = (y^2 + (-c/3 + x)^2 = b^2/9);Coordinate(F) = (c, 0);RightFocus(C) = F;PointOnCurve(P, LeftPart(C));TangentPoint(LineOf(F, P), E) = M;VectorOf(P, M) = 2*VectorOf(M, F)",
+      "coords": {}
+    },
+    {
+      "index": 2903,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2903.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A,B};x1 + x2 =6",
+      "coords": {}
+    },
+    {
+      "index": 2904,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2904.png",
+      "answer": "x^2/20+y^2/4=1",
+      "fact_expr": "G: Ellipse;H: Point;C:Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);Coordinate(H) = (sqrt(5), sqrt(3));Focus(G)=Focus(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          2.23606797749979,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 2905,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2905.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F,H) = True;Intersection(H,G) = {M,N};M: Point;N: Point;Quadrant(M) = 1;Slope(LineOf(M,N)) = sqrt(3);XCoordinate(M) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2906,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2906.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F2),VectorOf(P, F1));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 2907,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2907.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;a: Number;H: Line;A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Expression(G) = (y^2 = a*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 10;x1 + x2 = 8",
+      "coords": {}
+    },
+    {
+      "index": 2908,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2909,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2909.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;H: Line;a: Real;Expression(G) = (y^2 = 4*x);Expression(H) = (a*x - y + 1 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 2910,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2910.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G) = True;P: Point;AngleOf(P, F1, F2) = ApplyUnit(30, degree);AngleOf(P, F2, F1) = ApplyUnit(60, degree);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 2911,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2911.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;Expression(G) = (x^2/3 + y^2 = 1);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 2912,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2913,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2913.png",
+      "answer": "x^2/8+y^2/4=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/n^2 + x^2/m^2 = 1);m: Number;n: Number;m>0;n>0;RightFocus(G) = Z;Eccentricity(G) = sqrt(2)/2;Z: Point;Coordinate(Z) = (2,0)",
+      "coords": {
+        "Z": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 2914,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2915,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2915.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;PointOnCurve(A, G);Distance(A, yAxis) = 3",
+      "coords": {}
+    },
+    {
+      "index": 2916,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2916.png",
+      "answer": "(0, 0)",
+      "fact_expr": "G: Ellipse;H: Circle;B: Point;P: Point;A: Point;M: Point;Q: Point;Expression(G) = (x^2/4 + y^2/2 = 1);LeftVertex(G)=A;RightVertex(G)=B;IsPerpendicular(LineSegmentOf(M, B),LineSegmentOf(A, B));Intersection(LineSegmentOf(A,M),G)=P;PointOnCurve(Q,xAxis);Negation(Q = B);Negation(Q=A);IsDiameter(LineSegmentOf(M,P),H);PointOnCurve(Intersection(LineSegmentOf(B,P),LineSegmentOf(M,Q)),H)",
+      "coords": {}
+    },
+    {
+      "index": 2917,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2917.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;F2: Point;P: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C) = e;IsDiameter(LineSegmentOf(F1, F2), G);L1: Line;L2: Line;Intersection(G, L1) = P;Quadrant(P) = 1;Q: Point;MidPoint(LineSegmentOf(P, F1)) = Q;PointOnCurve(Q, L2);OneOf(Asymptote(G)) = L1;OneOf(Asymptote(G)) = L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 2918,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2918.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 8*x);IsChordOf(LineSegmentOf(A,B),G);IsPerpendicular(LineSegmentOf(A,B),xAxis);Abs(LineSegmentOf(A,B))=4*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 2919,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2920,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2921,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2922,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2922.png",
+      "answer": "x^2/16 + y^2/11 = 1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);H: Point;Coordinate(H) = (4, 0);Z: Ellipse;Focus(G) = Focus(Z);PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2923,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2923.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;O: Origin;Expression(G) = (y^2 = 4*x);IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F,LineSegmentOf(A,B));Focus(G)=F;F: Point",
+      "coords": {}
+    },
+    {
+      "index": 2924,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2924.png",
+      "answer": "1/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y = x^2);M: Point;PointOnCurve(M,C) = True;Intersection(L1 , xAxis) = A;Intersection(L1 , yAxis) = B;A: Point;B: Point;L1: Line;TangentOnPoint(M,C) = L1;Negation(M = Vertex(C))",
+      "coords": {}
+    },
+    {
+      "index": 2925,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2925.png",
+      "answer": "a^2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;PointOnCurve(M, G);H: Line;PointOnCurve(M, H);IsParallel(H, RealAxis(G));P: Point;Q: Point;Intersection(H, Asymptote(G)) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 2926,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2926.png",
+      "answer": "(\\sqrt{2}-1,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;c: Number;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);a/Sin(AngleOf(P, F1, F2)) = c/Sin(AngleOf(P, F2, F1))",
+      "coords": {}
+    },
+    {
+      "index": 2927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2927.png",
+      "answer": "1+2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;N: Point;PointOnCurve(M, Asymptote(G));PointOnCurve(N, LeftPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 2928,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2928.png",
+      "answer": "-3",
+      "fact_expr": "l: Line;G: Parabola;H: Point;P: Point;Q: Point;x1: Number;x2: Number;y1: Number;y2: Number;Expression(G) = (y^2 = 4*x);Coordinate(H) = (1, 0);Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);PointOnCurve(H, l);Intersection(l, G) = {P, Q}",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2929,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2929.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;RightVertex(G) = A;PointOnCurve(B, G);IsPerpendicular(LineSegmentOf(B,F),xAxis);Intersection(LineOf(A,B),yAxis)=P;VectorOf(A,P)=2*VectorOf(P,B);P:Point",
+      "coords": {}
+    },
+    {
+      "index": 2930,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2930.png",
+      "answer": "{(-oo, -3), (0, +oo)}",
+      "fact_expr": "l: Line;C: Parabola;G: Circle;M: Point;N: Point;t: Real;k: Number;Expression(C) = (x^2 = 4*y);Expression(G) = (x^2 + (y + 1)^2 = 1);Expression(l) = (y = k*x + t);Intersection(l, C) = {M, N};IsTangent(l, G);Negation(M = N)",
+      "coords": {}
+    },
+    {
+      "index": 2931,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2931.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};P: Point;PointOnCurve(P,G) = True;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 2932,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2933,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2933.png",
+      "answer": "20",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2934,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2934.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;O: Origin;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Expression(H) = (y = x - 4);Intersection(H, G) = {A, B};IsPerpendicular(LineSegmentOf(O,A),LineSegmentOf(O,B))",
+      "coords": {}
+    },
+    {
+      "index": 2935,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2935.png",
+      "answer": "3/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F2: Point;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);M: Point;N: Point;Intersection(H, G) = {M, N};m: Number;n: Number;Abs(LineSegmentOf(F2, M)) = m;Abs(LineSegmentOf(F2, N)) = n",
+      "coords": {}
+    },
+    {
+      "index": 2936,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2936.png",
+      "answer": "sqrt(5)-1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);M: Point;Projection(P, xAxis) = M;A: Point;Coordinate(A) = (2, 0)",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2937,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7841060161590576,
+        "b": 0.3689577579498291,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.885034397579147e-07,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_2937.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-sqrt(3)/2, 0);Coordinate(F2) = (sqrt(3)/2, 0);Focus(G) = {F1,F2};Quadrant(P) = 1;PointOnCurve(P, G);Tan(AngleOf(P,F1,F2))=1/2;Tan(AngleOf(P, F2, F1)) = -2",
+      "coords": {
+        "F1": [
+          -0.8660254037844386,
+          0.0
+        ],
+        "F2": [
+          0.8660254037844386,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2938,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2938.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsDiameter(LineSegmentOf(F1, F2), H);Coordinate(OneOf(Intersection(H, Asymptote(G)))) = (3, 4)",
+      "coords": {}
+    },
+    {
+      "index": 2939,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2939.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;A:Point;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Center(H)=O;O:Origin;Radius(H)=a;TangentPoint(LineOf(P,F1),H)=A;PointOnCurve(F2,PerpendicularBisector(LineSegmentOf(P,F1)))",
+      "coords": {}
+    },
+    {
+      "index": 2940,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2941,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2941.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;a: Number;H: Line;a>0;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Expression(H) = (y = (3/2)*x);IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 2942,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2943,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2943.png",
+      "answer": "4*x^2-4*y^2/3=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;Expression(H) = (x^2/9 + y^2/8 = 1);Coordinate(P) = (2, 3*sqrt(5)/2);PointOnCurve(P, G);Focus(G)=Focus(H)",
+      "coords": {
+        "P": [
+          2.0,
+          3.3541019662496847
+        ]
+      }
+    },
+    {
+      "index": 2944,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2944.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;B: Point;F: Point;O: Origin;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(B,LeftPart(G));Intersection(LineSegmentOf(B,F),OneOf(Asymptote(G)))=A;DotProduct((-VectorOf(O, B) + VectorOf(O, F)),VectorOf(O, A)) = 0;2*VectorOf(O, A) = VectorOf(O, B) + VectorOf(O, F)",
+      "coords": {}
+    },
+    {
+      "index": 2945,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2945.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Coordinate(F2) = (1, 0);PointOnCurve(F2, G) = True;Slope(G) = 1;G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;Area(TriangleOf(F1, A, B)) = sqrt(2)*b^2",
+      "coords": {
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 2946,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2947,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2947.png",
+      "answer": "[6-sqrt(10),6+sqrt(10)]",
+      "fact_expr": "G: Ellipse;F1: Point;A: Point;P: Point;Coordinate(F1) = (2, 0);Coordinate(A) = (1, 1);Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(P, G)",
+      "coords": {
+        "F1": [
+          2.0,
+          0.0
+        ],
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 2948,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 6.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2948.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 24*y);x0: Number;y0: Number;H: Point;Coordinate(H) = (x0, y0);PointOnCurve(H, G);Distance(H, Focus(G)) = 4*Distance(H, xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 2949,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2949.png",
+      "answer": "(5,2*sqrt(2)), (5,-2*sqrt(2))",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};LineSegmentOf(A, F) = 2*LineSegmentOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 2950,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2950.png",
+      "answer": "x+pm*y=0;pm*3",
+      "fact_expr": "l: Line;C: Hyperbola;P: Point;A: Point;Q: Point;Expression(C) = (x^2 - y^2 = 1);RightVertex(C)=A;PointOnCurve(A, l);Intersection(l,J2)=Q;VectorOf(P, A) = 2*VectorOf(A, Q);J1:Line;J2:Line;Asymptote(C)={J1,J2}",
+      "coords": {}
+    },
+    {
+      "index": 2951,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2951.png",
+      "answer": "{sqrt(3),-sqrt(3)}",
+      "fact_expr": "G: Parabola;p: Number;M: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = 2*p",
+      "coords": {}
+    },
+    {
+      "index": 2952,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2952.png",
+      "answer": "{18, 2}",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/16 - y^2/9 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 2953,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2954,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2954.png",
+      "answer": "2/3",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;PointOnCurve(P, G);Negation(Vertex(G) = P);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;c: Number;HalfFocalLength(G) = c;TangentPoint(InscribedCircle(TriangleOf(P, F1, F2)), LineSegmentOf(F1, F2)) = M;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 2955,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2955.png",
+      "answer": "sqrt(3)+2",
+      "fact_expr": "C: Parabola;M: Point;N: Point;P: Point;F: Point;Q: Point;D: Point;l:Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, LineOf(M,N));Intersection(LineOf(M,N),C) = {M,N};PointOnCurve(P,l);Directrix(C)=l;IsPerpendicular(LineSegmentOf(P,F),LineSegmentOf(M,N));Intersection(LineSegmentOf(P,M),yAxis)=Q;PointOnCurve(Q,LineSegmentOf(Q,D));IsPerpendicular(LineSegmentOf(Q,D),LineSegmentOf(M,F));Abs(LineSegmentOf(M, D)) = 2*Abs(LineSegmentOf(F, N));FootPoint(LineSegmentOf(Q,D),LineSegmentOf(M,F))=D",
+      "coords": {}
+    },
+    {
+      "index": 2956,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2956.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2/4 = 1);F: Point;UpperFocus(G) = F;Z1: Line;Z2: Line;Expression(Z1) = (x + y + 1 = 0);Expression(Z2) = (x + y - 1 = 0);A: Point;B: Point;C: Point;D: Point;Intersection(Z1, G) = {A, B};Intersection(Z2, G) = {C, D}",
+      "coords": {}
+    },
+    {
+      "index": 2957,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2957.png",
+      "answer": "y=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*p*y);p: Number;p > 0;H: Circle;Expression(H) = (2*x + x^2 + y^2 - 1 = 0);PointOnCurve(Focus(G), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 2958,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2958.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;F: Point;E: Point;M: Point;PointOnCurve(M, G);Expression(G) = (y = -x^2/4);Coordinate(F) = (0, -1);Coordinate(E) = (1, -3)",
+      "coords": {
+        "F": [
+          0.0,
+          -1.0
+        ],
+        "E": [
+          1.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 2959,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2959.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, Asymptote(C));DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;IsTangent(LineOf(P,F1),G)",
+      "coords": {}
+    },
+    {
+      "index": 2960,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2960.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G) = LeftFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 2961,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2961.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;In(A, l);Intersection(LineSegmentOf(A,F), C) = B;B: Point;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 2962,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2962.png",
+      "answer": "y=pm*16/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/9 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2963,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2964,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2964.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;A: Point;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + (y - 3)^2 = 1);LeftFocus(C) = F;LowerVertex(C) = A;L:Line;IsParallel(LineSegmentOf(A,F),L);Intercept(L,yAxis)=(3-sqrt(2));IsTangent(L,G)",
+      "coords": {}
+    },
+    {
+      "index": 2965,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2966,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2967,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2967.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;G: Circle;c: Number;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (-c + x)^2 = 9*a^2);HalfFocalLength(E) = c;NumIntersection(E, G)=3",
+      "coords": {}
+    },
+    {
+      "index": 2968,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2968.png",
+      "answer": "sqrt(14)/2",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;O: Origin;d:Number;Expression(C)=(x^2/4+y^2/3=1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,C);Distance(O,TangentOnPoint(P,C))=d;Abs(LineSegmentOf(P,F1))*Abs(LineSegmentOf(P,F2))=24/7",
+      "coords": {}
+    },
+    {
+      "index": 2969,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2969.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2970,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2970.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2971,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2971.png",
+      "answer": "(1/2, 1)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/4);H: Line;Expression(H) = (y = 4*x - 5);P: Point;PointOnCurve(P, G);WhenMin(Distance(P, H))",
+      "coords": {}
+    },
+    {
+      "index": 2972,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2972.png",
+      "answer": "8",
+      "fact_expr": "H: Circle;Expression(H) = (y^2 + (x + 1)^2 = 4);G: Parabola;Expression(G) = (y^2 = m*x);m: Number;Negation(m = 0);Intersection(H, Directrix(G)) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 2973,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 5.656854249492381,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2973.png",
+      "answer": "2",
+      "fact_expr": "A: Point;x0: Number;y0: Number;Coordinate(A) = (x0, y0);PointOnCurve(A, RightPart(G));G: Hyperbola;Expression(G) = (x^2/4 - y^2/32 = 1);Distance(A, LeftFocus(G)) = 4*x0",
+      "coords": {}
+    },
+    {
+      "index": 2974,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2974.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/6 = 1);A: Point;F1: Point;B: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l:Line;PointOnCurve(F2, l);Intersection(l, RightPart(G)) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 2975,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2975.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);H:LineSegment;PointOnCurve(F,H);Focus(G)=F;IsChordOf(H,G);WhenMin(Length(H));F:Point",
+      "coords": {}
+    },
+    {
+      "index": 2976,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2976.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B:Point;O:Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;L1:Line;L2:Line;Asymptote(C)={L1,L2};PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(LineSegmentOf(A,F),xAxis);IsPerpendicular(LineSegmentOf(A,B),LineSegmentOf(O,B));IsParallel(LineSegmentOf(B,F),LineSegmentOf(O,A));FocalLength(C)=4",
+      "coords": {}
+    },
+    {
+      "index": 2977,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2977.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;A: Point;PointOnCurve(A, G);B: Point;Projection(A, l) = B;Distance(B, LineOf(A, F)) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 2978,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2978.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;RightVertex(G)=A;UpperVertex(G)=B;Distance(F,LineOf(A,B))=(5*sqrt(14)/14)*b",
+      "coords": {}
+    },
+    {
+      "index": 2979,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2979.png",
+      "answer": "y^2 = 4*sqrt(3)*x",
+      "fact_expr": "G: Parabola;H: Ellipse;F: Point;Expression(H) = (x^2/4 + y^2 = 1);RightFocus(H) = F;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 2980,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2980.png",
+      "answer": "pm*1, pm*sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = k*x - 2);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 2981,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2981.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Ellipse;M: Point;F1: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C)=F1;PointOnCurve(M,C)",
+      "coords": {}
+    },
+    {
+      "index": 2982,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_2982.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);m: Number;m<4;Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 2983,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2983.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);Slope(G) = sqrt(3);A: Point;B: Point;Intersection(G, C) = {A, B};Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 2984,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2985,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2986,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2987,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2988,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2989,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2989.png",
+      "answer": "2-sqrt(2)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Quadrant(P) = 1;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 2990,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2991,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2991.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F: Point;LeftFocus(G) = F;A: Point;Coordinate(A) = (1, sqrt(5));P: Point;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 2992,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_2992.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;P: Point;p>0;y0:Number;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (1, y0);PointOnCurve(P, C);Distance(P, Focus(C)) = 2;y0>0",
+      "coords": {}
+    },
+    {
+      "index": 2993,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_2993.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 2994,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2994.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Curve;k: Number;P: Point;F: Point;Expression(C) = (y^2 = 4*x);k>0;Expression(G) = (y = k/x);Focus(C) = F;Intersection(G, C) = P;IsPerpendicular(LineSegmentOf(P,F),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 2995,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 2996,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2996.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 2997,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_2997.png",
+      "answer": "a",
+      "fact_expr": "G: Parabola;A: Point;P: Point;a: Number;0 < a;a < 1;Expression(G) = (y^2 = 2*x);Coordinate(A) = (a, 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 2998,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_2998.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;O: Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;FocalLength(G) = 4;PointOnCurve(P, RightPart(G));IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));DotProduct(VectorOf(F1, P), VectorOf(F1, O)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 2999,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_2999.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P, F2)) = (sqrt(3)/2)*Abs(LineSegmentOf(P, F1))",
+      "coords": {}
+    },
+    {
+      "index": 3000,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3000.png",
+      "answer": "sqrt(34)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;c:Number;c>0;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(C)={F1,F2};M: Point;Coordinate(M) = (3*c, 0);l1: Line;PointOnCurve(M, l1);IsPerpendicular(l1,Asymptote(C));P: Point;FootPoint(l1,Asymptote(C))=P;O: Origin;Abs(LineSegmentOf(O, P)) = 5*b",
+      "coords": {}
+    },
+    {
+      "index": 3001,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3001.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;A: Point;RightVertex(G) = A;B: Point;OneOf(Endpoint(ImageinaryAxis(G))) = B;Distance(F, LineOf(A, B)) = b/3",
+      "coords": {}
+    },
+    {
+      "index": 3002,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3002.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;Abs(LineSegmentOf(A, F))/Abs(LineSegmentOf(B, F)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 3003,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3003.png",
+      "answer": "2",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 2);k: Number;G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;Negation(A=B);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3004,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3004.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2/16 - y^2/9 = 1);Coordinate(A) = (2, 4);LeftFocus(C) = F;PointOnCurve(P, RightPart(C));WhenMin(Perimeter(TriangleOf(A, P, F)))",
+      "coords": {
+        "A": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3005,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3005.png",
+      "answer": "pm*y+2*x=0;sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/4 = 1);Eccentricity(C) = e ;e: Number",
+      "coords": {}
+    },
+    {
+      "index": 3006,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3006.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F1: Point;A: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x*(b/a));LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, LeftPart(G));IsParallel(LineOf(A,F1),H);Perimeter(TriangleOf(A,F1,F2))=9*a",
+      "coords": {}
+    },
+    {
+      "index": 3007,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3008,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3008.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l1) = True;PointOnCurve(F2, l2) = True;IsPerpendicular(l1, l2) = True;l1: Line;l2: Line;PointOnCurve(Intersection(l1, l2), G) = True",
+      "coords": {}
+    },
+    {
+      "index": 3009,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3009.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;C: Circle;Expression(C) = (y^2 + (x - 3)^2 = 4);l1:Line;l2:Line;Asymptote(G)={l1,l2};IsTangent(l1,C);IsTangent(l2,C)",
+      "coords": {}
+    },
+    {
+      "index": 3010,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3010.png",
+      "answer": "6;2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;F: Point;P: Point;F2: Point;a>0;Expression(G) = (-y^2/5 + x^2/a^2 = 1);Expression(H) = (y^2 = 12*x);OneOf(Focus(G)) = F;OneOf(Focus(G)) = F2;Negation(F = F2);Focus(H) = F;PointOnCurve(P,G);Distance(P,F) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3011,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3011.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3012,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3012.png",
+      "answer": "0",
+      "fact_expr": "G: Parabola;H: Line;C:Line;P: Point;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(C) = (x = -1);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Intersection(H,C)=P;VectorOf(P, A) = lambda*VectorOf(A, F);VectorOf(P, B) = mu*VectorOf(B, F);lambda:Real;mu:Real",
+      "coords": {}
+    },
+    {
+      "index": 3013,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3014,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3014.png",
+      "answer": "(0, \\sqrt{2}/2)",
+      "fact_expr": "G: Ellipse;m: Number;n: Number;H: Curve;e: Number;m > n;n > 0;Expression(G) = (y^2/n + x^2/m = 1);Expression(H) = (x^2 + y^2 = m - n);NumIntersection(G, H)=0;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3015,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3016,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3016.png",
+      "answer": "(3-sqrt(3))/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;P: Point;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;LeftVertex(C) = A;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,F),xAxis);Slope(LineOf(A,P)) = sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 3017,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3017.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 6;G: Circle;IsDiameter(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 3018,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3018.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Intersection(H, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(F, A))*Abs(LineSegmentOf(F, B)) = 6;Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3019,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3019.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;O: Origin;M: Point;PointOnCurve(M, G);Abs(LineSegmentOf(M, F)) = 4*Abs(LineSegmentOf(O, F));Area(TriangleOf(M, F, O)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3020,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3021,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3021.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Slope(l) = -1/3;Intersection(l, C) = {A, B};Coordinate(MidPoint(LineSegmentOf(A,B))) = (1, 1)",
+      "coords": {}
+    },
+    {
+      "index": 3022,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3023,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3023.png",
+      "answer": "5/2",
+      "fact_expr": "C: Parabola;F: Point;Expression(C) = (y^2 = 2*x);Focus(C) = F;P: Point;PointOnCurve(P, C);a: Number;Abs(LineSegmentOf(P, F)) = a;a > 1/2;l: Line;Directrix(C) = l;M: Point;PointOnCurve(P,LineSegmentOf(P,M));IsPerpendicular(LineSegmentOf(P,M),l);FootPoint(LineSegmentOf(P,M),l) = M;Area(InscribedCircle(TriangleOf(M,P,F))) = (3-sqrt(5))*a*pi/4",
+      "coords": {}
+    },
+    {
+      "index": 3024,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.4142135623730951
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3024.png",
+      "answer": "0",
+      "fact_expr": "G: Circle;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (x^2 + y^2 = 2);Expression(H) = (x + 2*y + sqrt(5) = 0);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3025,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3025.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;HalfFocalLength(G) = c;c: Number;H: Line;Expression(H) = (a*y + b*x = a*b);O: Origin;Distance(O, H) = c/4 + 1",
+      "coords": {}
+    },
+    {
+      "index": 3026,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3026.png",
+      "answer": "-1/2",
+      "fact_expr": "G: Ellipse;H: LineSegment;I: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(I) = (4, 2);IsChordOf(H, G);MidPoint(H) = I",
+      "coords": {
+        "I": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3027,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3027.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A))+Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3028,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3028.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;F: Point;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F,LineSegmentOf(F,H));IsPerpendicular(LineSegmentOf(F,H),Asymptote(G));FootPoint(LineSegmentOf(F,H),Asymptote(G))=H;Intersection(LineSegmentOf(F,H),RightPart(C))=A;MidPoint(LineSegmentOf(F,H))=A",
+      "coords": {}
+    },
+    {
+      "index": 3029,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3030,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3030.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;I: Line;A: Point;F1: Point;F2: Point;b > a;a > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(RightFocus(G), I);IsParallel(I, OneOf(Asymptote(G)));Intersection(I, G) = A;Radius(InscribedCircle(TriangleOf(A, F1, F2))) = b/4",
+      "coords": {}
+    },
+    {
+      "index": 3031,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3031.png",
+      "answer": "3*sqrt(3)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 9*x);F: Point;Focus(G) = F;Intersection(Directrix(G), xAxis) = M;M: Point;PointOnCurve(N, G) = True;N: Point;sqrt(6)*Abs(LineSegmentOf(N, F)) = 2*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 3032,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3032.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3033,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3033.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;A: Point;x1:Number;y1:Number;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(A) = (x1, y1);PointOnCurve(A, G)",
+      "coords": {}
+    },
+    {
+      "index": 3034,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3034.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;O: Origin;Q: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Inclination(H)=pi/4;Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 3035,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3035.png",
+      "answer": "2*sqrt(10)/5",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2/9 = 1);PointOnCurve(P, G);Focus(G) = {F1,F2};Cos(AngleOf(F1, P, F2)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 3036,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3036.png",
+      "answer": "5*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);RightFocus(G)=F;Distance(P, F) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 3037,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3037.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));AngleOf(P, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3038,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3038.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G)=(x^2/9+y^2/4=1);H:Line;Expression(H)=(m*x-n*y=4);m:Number;n:Number;C:Circle;Expression(C)=(x^2+y^2=4);NumIntersection(H,C)=0;P:Point;Coordinate(P)=(m,n);L:Line;PointOnCurve(P,L)",
+      "coords": {}
+    },
+    {
+      "index": 3039,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3039.png",
+      "answer": "12",
+      "fact_expr": "C: Hyperbola;a: Number;G: Line;P: Point;F1: Point;F2: Point;a>0;Expression(C) = (-y^2/3 + x^2/a^2 = 1);Expression(G) = (x = 2);Inclination(OneOf(Asymptote(C))) = ApplyUnit(60, degree);LeftFocus(C) =F1;RightFocus(C)=F2;Intersection(G, C) = P",
+      "coords": {}
+    },
+    {
+      "index": 3040,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3040.png",
+      "answer": "3+2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;G: Line;F: Point;A: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Slope(G) = 1;Intersection(G, C) = {A, B};Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 3041,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3041.png",
+      "answer": "2*sqrt(7)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);G: Circle;F:Point;Focus(C) = F;H: Line;M: Point;Center(G)=M;PointOnCurve(M, C);Expression(H) = (x = -1);Radius(G)=Abs(LineSegmentOf(M,F));Abs(LineSegmentOf(M,F))=4",
+      "coords": {}
+    },
+    {
+      "index": 3042,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3043,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3043.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;B: Point;p>0;Expression(C) = (x^2 = 2*p*y);Intersection(Directrix(C),axis)=A;PointOnCurve(A,G);TangentPoint(G,C)=B;Abs(LineSegmentOf(A, B))=2",
+      "coords": {}
+    },
+    {
+      "index": 3044,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3044.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;l: Line;Expression(G) = (y^2 = 8*x);Focus(G) = F;Directrix(G)=l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l)=A;Inclination(LineOf(A,F)) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 3045,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3045.png",
+      "answer": "16/3",
+      "fact_expr": "G: Hyperbola;F: Point;P: Point;O: Origin;H:Circle;Expression(G) = (x^2/4 - y^2/5 = 1);LeftFocus(G)=F;PointOnCurve(P,RightPart(G));Radius(H)=Abs(LineSegmentOf(O,F));PointOnCurve(MidPoint(LineSegmentOf(F,P)),H)",
+      "coords": {}
+    },
+    {
+      "index": 3046,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3047,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3047.png",
+      "answer": "(-12,0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 + y^2/k = 1);k: Real;e:Number;Eccentricity(G)=e;In(e, (1, 2))",
+      "coords": {}
+    },
+    {
+      "index": 3048,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3048.png",
+      "answer": "sqrt(15)/15",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1);a: Number;b: Number;a>0;b>0;P: Point;PointOnCurve(P, C) = True;AngleOf(F1, P, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3049,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3049.png",
+      "answer": "x^2/9-y^2=1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;M: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Focus(G) = {F1,F2};PointOnCurve(M, G);DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 0;Abs(VectorOf(M, F1))*Abs(VectorOf(M, F2)) = 2",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3050,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3050.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F1, l);M: Point;N: Point;Intersection(l, G) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 3051,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3052,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3053,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_3053.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/2 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 3054,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 3055,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3056,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3056.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y^2 = 12*x);Expression(H) = (y = 2*x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 3057,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3057.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;I: Point;P:Point;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x = -1);Coordinate(I) = (1, 0);PointOnCurve(P,G);Distance(P,I)=Distance(P,H)",
+      "coords": {
+        "I": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3058,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3058.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/2 + x^2/a = 1);Coordinate(OneOf(Focus(G))) = (-sqrt(3), 0)",
+      "coords": {}
+    },
+    {
+      "index": 3059,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3059.png",
+      "answer": "x^2/2 - y^2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P: Point;Expression(H) = (x^2/4 + y^2 = 1);Coordinate(P) = (2, 1);Focus(H) = Focus(G);PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3060,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3060.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;P: Point;F: Point;O: Origin;Expression(C) = (x^2/4 - y^2/2 = 1);RightFocus(C) = F;PointOnCurve(P, OneOf(Asymptote(C)));Abs(LineSegmentOf(O, P)) = 2*Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 3061,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3061.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "F1: Point;F2: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C) = True;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True;AngleOf(P, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3062,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3062.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y = x + 1);PointOnCurve(OneOf(Intersection(H,axis)),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 3063,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.47213595499958,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 20.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3063.png",
+      "answer": "20",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/20 + y^2/16 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);m:Number;Abs(VectorOf(P,F1))*Abs(VectorOf(P,F2))=m",
+      "coords": {}
+    },
+    {
+      "index": 3064,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3064.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A,B};x1+x2=6;x1:Number;x2:Number;y1:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 3065,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3065.png",
+      "answer": "5+sqrt(17)",
+      "fact_expr": "C: Parabola;M: Point;P: Point;F: Point;Expression(C) = (x^2 = 8*y);Coordinate(M) = (-4, 3);Focus(C) = F;PointOnCurve(P, C)",
+      "coords": {
+        "M": [
+          -4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 3066,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3066.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;E: Parabola;A: Point;C: Point;B: Point;Expression(E) = (y^2 = 4*x);PointOnCurve(Focus(E), l);Intersection(l, E) = {A, B};Intersection(l,Directrix(E))=C;Quadrant(A)=1;MidPoint(LineSegmentOf(A, C)) = B",
+      "coords": {}
+    },
+    {
+      "index": 3067,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3067.png",
+      "answer": "16.5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (5, 0);Distance(P, A) = 8.5;B: Point;Coordinate(B) = (-5, 0)",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ],
+        "B": [
+          -5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3068,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3068.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 + y^2/4 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3069,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3069.png",
+      "answer": "sqrt(13)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (3*x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 3070,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3070.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, L) = True;Intersection(L, LeftPart(G)) = M;Intersection(L, RightPart(G)) = N;L: Line;M: Point;N: Point;IsDiameter(LineSegmentOf(M, N), H) = True;H: Circle;PointOnCurve(F2, H) = True;Abs(LineSegmentOf(M, F2)) = Abs(LineSegmentOf(N, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3071,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3071.png",
+      "answer": "6",
+      "fact_expr": "l: Line;C: Parabola;p: Number;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(l)=(x + 2*y - 3 = 0);PointOnCurve(Focus(C),l)",
+      "coords": {}
+    },
+    {
+      "index": 3072,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3073,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3073.png",
+      "answer": "(0,-2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 3074,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3074.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, E);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(P, F1, F2)) = (a*b)/2",
+      "coords": {}
+    },
+    {
+      "index": 3075,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3075.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;a: Number;F: Point;a>0;Expression(C) = (-y^2/3 + x^2/a^2 = 1);Coordinate(F) = (2, 0);OneOf(Focus(C)) = F",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3076,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 5.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3076.png",
+      "answer": "x^2=20*y",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;F: Point;Coordinate(F) = (0, 5);Focus(G) = F",
+      "coords": {
+        "F": [
+          0.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 3077,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3077.png",
+      "answer": "24",
+      "fact_expr": "l: Line;PointOnCurve(RightFocus(G), l);G: Hyperbola;Expression(G) = (x^2/16 - y^2/4 = 1);A: Point;B: Point;Intersection(l, RightPart(G)) = {A, B};Abs(LineSegmentOf(A, B)) = 4;F: Point;LeftFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 3078,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3079,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3079.png",
+      "answer": "-9/16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3080,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3080.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Parabola;P: Point;F: Point;O: Origin;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3081,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3081.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;P: Point;B: Point;Q: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;LeftVertex(G)=A;RightVertex(G)=B;PointOnCurve(F,H);IsPerpendicular(H,xAxis);Intersection(H,G)={P,Q};IsPerpendicular(LineSegmentOf(A, P), LineSegmentOf(B, Q))",
+      "coords": {}
+    },
+    {
+      "index": 3082,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3082.png",
+      "answer": "[2*sqrt(2),2*sqrt(3))\n0",
+      "fact_expr": "C: Ellipse;G: Line;y0: Number;x0: Number;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/3 + y^2 = 1);Expression(G) = (y*y0 + (x*x0)/3 = 1);Coordinate(P) = (x0, y0);Focus(C) = {F1,F2};0<x0^2/3+y0^2;x0^2/3+y0^2<1",
+      "coords": {}
+    },
+    {
+      "index": 3083,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 27.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3083.png",
+      "answer": "90",
+      "fact_expr": "G: Ellipse;C1:Circle;C2:Circle;P: Point;M: Point;N: Point;L1:Line;L2:Line;Expression(G) = (x^2/36 + y^2/27 = 1);Expression(C1)=((x+3)^2+y^2=4);Expression(C2)=((x-3)^2+y^2=1);PointOnCurve(P,G);TangentOfPoint(P,C1)=L1;TangentOfPoint(P,C2)=L2;TangentPoint(L1,C1)=M;TangentPoint(L2,C2)=N",
+      "coords": {}
+    },
+    {
+      "index": 3084,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3084.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Parabola;N: Point;F: Point;M: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(Directrix(G), xAxis) = M;PointOnCurve(N, G);Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 3085,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3085.png",
+      "answer": "3/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;M: Circle;Expression(M) = (y^2 + (x - 3)^2 = 1);OneOf(Focus(C)) = Center(M);Length(MajorAxis(C)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 3086,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3087,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3087.png",
+      "answer": "x^2/2-y^2=1",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;F: Point;A: Point;B: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-sqrt(3), 0);LeftFocus(C) = F;Intersection(l,LeftPart(C)) = A;Intersection(l,RightPart(C)) = B;Abs(LineSegmentOf(F, A)) + Abs(LineSegmentOf(F, B)) = 4;DotProduct(VectorOf(F, A), VectorOf(F,B)) = 0;PointOnCurve(O,l)",
+      "coords": {
+        "F": [
+          -1.7320508075688772,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3088,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3088.png",
+      "answer": "(x-1)^2+y^2=1",
+      "fact_expr": "H: Circle;Expression(H) = ((-a + x)^2 + (-b + y)^2 = r^2);b: Number;a: Number;r: Number;G: Parabola;Expression(G) = (y^2 = 4*x);Center(H) = Focus(G);L: Line;Expression(L) = (3*x + 4*y + 2 = 0);IsTangent(H, L)",
+      "coords": {}
+    },
+    {
+      "index": 3089,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3089.png",
+      "answer": "sqrt(34) - 1",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (4, 5);PointOnCurve(P, G);Projection(P, yAxis) = Q",
+      "coords": {
+        "M": [
+          4.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 3090,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3091,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3092,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3092.png",
+      "answer": "y^2 = pm*6*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/3 - y^2 = 1);O: Origin;Directrix(H) = OneOf(Directrix(G));Vertex(H) = O",
+      "coords": {}
+    },
+    {
+      "index": 3093,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3093.png",
+      "answer": "14",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/100 + y^2/16 = 1);PointOnCurve(P, G);Distance(P, LeftFocus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3094,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3094.png",
+      "answer": "50",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/64 - y^2/36 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l,LeftPart(G))={A, B};Abs(LineSegmentOf(A, B)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 3095,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9220545291900635,
+        "b": 2.765991687774658,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.6528161874448415e-06,
+        "converged": true,
+        "iterations": 186
+      },
+      "output_path": "results/train/hyperbola/problem_3095.png",
+      "answer": "2/3",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (-y^2/6 + x^2/m = 1);Expression(OneOf(Asymptote(G))) = (y = 3*x)",
+      "coords": {}
+    },
+    {
+      "index": 3096,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3096.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;O: Origin;H:Circle;P: Point;F: Point;Q: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(H) = (x^2 + y^2 = 12);Focus(C) = F;Intersection(C, H) = {P, Q};Abs(LineSegmentOf(P, Q)) = 4*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 3097,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3097.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Parabola;p: Number;O: Origin;M: Point;P: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(P, G);PointOnCurve(M, LineSegmentOf(P, F));Abs(LineSegmentOf(P, M)) = 3*Abs(LineSegmentOf(M, F))",
+      "coords": {}
+    },
+    {
+      "index": 3098,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3098.png",
+      "answer": "[\\sqrt{2}-1, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;e: Number;Eccentricity(G) = e;P: Point;PointOnCurve(P, G);LineSegmentOf(P, F1)/LineSegmentOf(P, F2) = e",
+      "coords": {}
+    },
+    {
+      "index": 3099,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3100,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3100.png",
+      "answer": "pm*6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;M: Point;y0: Number;Coordinate(M) = (3, y0);PointOnCurve(M, G);Distance(M, F) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3101,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3102,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3102.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Parabola;M: Point;N: Point;F: Point;a:Number;b:Number;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Slope(l) = 1;Intersection(l, C) = {M, N};b = (Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)))/2;XCoordinate(Intersection(PerpendicularBisector(LineSegmentOf(M,N))), xAxis) = a",
+      "coords": {}
+    },
+    {
+      "index": 3103,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 3.4641016151377544,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3103.png",
+      "answer": "y=pm*(sqrt(3)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/12 - y^2/9 = -1)",
+      "coords": {}
+    },
+    {
+      "index": 3104,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3105,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 5.656854249492381,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3105.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;A: Point;x0:Number;y0:Number;Expression(G) = (x^2/4 - y^2/32 = 1);Coordinate(A) = (x0, y0);PointOnCurve(A, RightPart(G));Distance(A,RightFocus(G)) = 2*x0",
+      "coords": {}
+    },
+    {
+      "index": 3106,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3106.png",
+      "answer": "x \\pm \\sqrt{3} y - 1 = 0",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point;Projection(MidPoint(LineSegmentOf(A, F)), yAxis) = P;P: Point;Projection(MidPoint(LineSegmentOf(B, F)), yAxis) = Q;Q: Point;Abs(LineSegmentOf(P, Q)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3107,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 5.656854249492381,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3107.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/32 = 1);A: Point;x0: Number;y0: Number;Coordinate(A) = (x0, y0);PointOnCurve(A, RightPart(G));Distance(A, RightFocus(G)) = 2*x0",
+      "coords": {}
+    },
+    {
+      "index": 3108,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3108.png",
+      "answer": "-1/2",
+      "fact_expr": "M: Point;Coordinate(M) = (-2, 0);m: Line;PointOnCurve(M, m) = True;G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);Intersection(m, G) = {P1, P2};P1: Point;P2: Point;MidPoint(LineSegmentOf(P1,P2)) = P;P: Point;Slope(m) = k1;k1: Number;O: Origin;Slope(LineOf(O,P)) = k2;k2: Number",
+      "coords": {
+        "M": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3109,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3109.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Coordinate(F) = (1, 0);Focus(C) = F;PointOnCurve(F, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3110,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3110.png",
+      "answer": "sqrt(2) + 1 - sqrt(3)",
+      "fact_expr": "E: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, RightPart(E));Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(F1, F2));AngleOf(P, F1, F2) = ApplyUnit(30, degree);Area(TriangleOf(P, F1, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3111,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3111.png",
+      "answer": "2",
+      "fact_expr": "H: Circle;Expression(H) = (y^2 + x^2 - 2*x = 0);C: Point;Center(H) = C;G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;Directrix(G) = l",
+      "coords": {}
+    },
+    {
+      "index": 3112,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.732385540716972,
+        "b": 2.4497476064802375,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.601017381791051e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_3112.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);Focus(G) = {F1, F2};Expression(OneOf(Asymptote(G))) = (y = sqrt(2)*x)",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3113,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3113.png",
+      "answer": "(1, 2]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3114,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_3114.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*(x/2));H: Point;Coordinate(H) = (10/3, 4/3);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          3.3333333333333335,
+          1.3333333333333333
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 3115,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3115.png",
+      "answer": "(-oo, sqrt(2)]",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;m: Real;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = x + 2);PointOnCurve(P, RightPart(G));Distance(P, H) > m",
+      "coords": {}
+    },
+    {
+      "index": 3116,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_asymptote_mismatch",
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_3116.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (y^2/4 - x^2/m = 1);Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {},
+      "validation_reasons": [
+        "hyperbola_asymptote_mismatch"
+      ]
+    },
+    {
+      "index": 3117,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3117.png",
+      "answer": "(x-2)^2+(y-2*sqrt(2))^2=9",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);C: Circle;Expression(C) = ((-a + x)^2 + (-b + y)^2 = r^2);r: Number;b: Number;a: Number;A: Point;b>0;PointOnCurve(A,C);Coordinate(A) = (3, 0);PointOnCurve(Center(C),G);IsTangent(C,Directrix(G))",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3118,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3118.png",
+      "answer": "A straight line does not exist",
+      "fact_expr": "l: Line;G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};P: Point;Coordinate(P) = (6, 3);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          6.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 3119,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3119.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "P: Point;PointOnCurve(P,G) = True;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Focus(G) = {F1,F2};F1: Point;F2: Point;DotProduct(VectorOf(P,F1),VectorOf(P,F2))=0;Tan(AngleOf(P,F1,F2)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 3120,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3120.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);DotProduct(VectorOf(F1, P), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3121,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3121.png",
+      "answer": "-2, -1/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;O: Origin;Center(G) = F;Radius(G) = 2*sqrt(3)*a;G: Circle;Intersection(G, OneOf(Asymptote(C))) = {P, Q};P: Point;Q: Point;DotProduct(VectorOf(F, P), VectorOf(F, Q)) = -6*a^2;VectorOf(O, P) = lambda*VectorOf(O, Q);lambda: Number",
+      "coords": {}
+    },
+    {
+      "index": 3122,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3122.png",
+      "answer": "3/8",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;Negation(P = LeftVertex(C));Negation(P = RightVertex(C));M: Point;Incenter(TriangleOf(P, F1, F2)) = M;5*VectorOf(M, F1) + 3*VectorOf(M, F2) + 3*VectorOf(M, P) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3123,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3123.png",
+      "answer": "-6",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;Expression(G) = (x^2/3 + y^2/p = 1);Expression(H) = (y^2 = 2*(p*x));PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 3124,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3125,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3127,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3127.png",
+      "answer": "(1/4, -1)",
+      "fact_expr": "M: Point;Coordinate(M) = (0, 2);G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(F, LineOf(A, B));Intersection(LineOf(A, B), G) = {A, B};AngleOf(A, M, F) = pi/2",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3128,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3128.png",
+      "answer": "4.5",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F,H);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 3129,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3129.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;Coordinate(Focus(G)) = (-1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 3130,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3130.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3131,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.47213595499958,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 20.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3131.png",
+      "answer": "x^2/16 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;C:Curve;Expression(H) = (x^2/20 + y^2/2 = 1);Expression(C)= (x^2/8 - y^2 = 1);Asymptote(G)=Asymptote(C);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3132,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3133,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3133.png",
+      "answer": "(4,\\pm 4)",
+      "fact_expr": "G: Parabola;P:Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P,G);Distance(P,Focus(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 3134,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3134.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;F2: Point;a>0;b>0;RightFocus(G) = F2;H: Line;PointOnCurve(F2,H) = True;IsPerpendicular(H,xAxis) = True;P: Point;Intersection(H,Asymptote(G)) = P;Quadrant(P) = 1;F1: Point;LeftFocus(G) = F1;Inclination(LineOf(F1,P)) = pi/4;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3135,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3135.png",
+      "answer": "{ApplyUnit(60, degree), ApplyUnit(120, degree)}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);M: Point;Coordinate(M) = (1, 0);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(M, LineSegmentOf(A, B));Abs(LineSegmentOf(A, B)) = (8*sqrt(10))/3",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3136,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3137,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3137.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G);A: Point;B: Point;Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3138,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3139,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3139.png",
+      "answer": "5*sqrt(2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F: Point;LeftFocus(C) = F;P: Point;PointOnCurve(P, C);Q: Point;Coordinate(Q) = (4, 3)",
+      "coords": {
+        "Q": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 3140,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3140.png",
+      "answer": "(0, 2)",
+      "fact_expr": "C: Parabola;M: Point;N: Point;F: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;Quadrant(M) = 1;PointOnCurve(M, C);PointOnCurve(N, l);IsPerpendicular(LineSegmentOf(M, F), LineSegmentOf(N, F));Abs(LineSegmentOf(M, F)) = 5;Intersection(LineOf(M,N),yAxis)=P;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 3141,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3141.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));LineSegmentOf(P, F1) = 2*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 3142,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_3142.png",
+      "answer": "(0,2*sqrt(2))",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;P: Point;B: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3);LeftVertex(C)=A;RightVertex(C)=B;PointOnCurve(P, C);Quadrant(P)=1;Slope(LineOf(P,A))=k1;Slope(LineOf(P,B))=k2;Slope(LineOf(P,O))=k3;k1:Number;k2:Number;k3:Number;m:Number;m=k1*k2*k3",
+      "coords": {}
+    },
+    {
+      "index": 3143,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3143.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "l: Line;G: Parabola;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3144,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3144.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);Distance(P, RightDirectrix(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 3145,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3145.png",
+      "answer": "{(5/4, +oo), 0}",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;F: Point;x1: Number;x2: Number;y1: Number;y2: Number;Expression(G) = (y = 2*x^2);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(A, G);PointOnCurve(B, G);PerpendicularBisector(LineSegmentOf(A, B)) = l;Focus(G) = F;PointOnCurve(F, l)",
+      "coords": {}
+    },
+    {
+      "index": 3146,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3147,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3147.png",
+      "answer": "{5/2, pm*2}",
+      "fact_expr": "l: Line;G: Hyperbola;P: Point;Expression(G) = (x^2 - y^2/4 = 1);Coordinate(P) = (1, 1);PointOnCurve(P, l);Slope(l) = k;NumIntersection(l, G) = 1;k: Number",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3148,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3149,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3149.png",
+      "answer": "(\\sqrt{3} - 1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;F1: Point;F2: Point;P: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 2*c;AngleOf(F1, P, F2) = ApplyUnit(30, degree);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3150,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3150.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "L: Line;Slope(L) = -1/2;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Intersection(L, C) = {A, B};P: Point;Coordinate(P) = (2, 1);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3151,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3152,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3152.png",
+      "answer": "x=3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -12*x)",
+      "coords": {}
+    },
+    {
+      "index": 3153,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3153.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3154,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3154.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;b: Number;H: Line;B: Point;A: Point;C: Point;F1: Point;F2: Point;0 < b;b < 3;Expression(G) = (x^2/9 + y^2/b^2 = 1);Expression(H) = (x + 3*y - 7 = 0);Coordinate(C) = (1, 2);Intersection(H, G) = {A, B};Focus(G)={F1,F2};MidPoint(LineSegmentOf(A,B)) = C",
+      "coords": {
+        "C": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3155,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          -0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3155.png",
+      "answer": "1/16",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y = 2*(p*x^2));Expression(H) = (-2*x + x^2 + y^2 - 3 = 0);IsTangent(H, Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 3156,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3156.png",
+      "answer": "b*sqrt(a^2-b^2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(G) = F;A: Point;B: Point;O: Origin;Center(G) = O;PointOnCurve(O, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 3157,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3157.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (0, -1);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 3158,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3158.png",
+      "answer": "x-y-3=0",
+      "fact_expr": "G: Circle;Expression(G) = (y^2 + (x - 1)^2 = 25);P: Point;Coordinate(P) = (2, -1);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {}
+    },
+    {
+      "index": 3159,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3160,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_3160.png",
+      "answer": "{sqrt(5),sqrt(5)/2}",
+      "fact_expr": "G: Hyperbola;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 3161,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3161.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);m: Number;K: Point;PointOnCurve(K, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(K, F1)+Distance(K, F2) = m-3",
+      "coords": {}
+    },
+    {
+      "index": 3162,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3162.png",
+      "answer": "x \\pm \\sqrt{3} y = 0",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;Expression(G) = (-y^2 + x^2/a^2 = 1);a: Number;Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3163,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3163.png",
+      "answer": "pm*2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;PointOnCurve(F,l) = True;Slope(l) = k;k: Number;Intersection(l, C) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = (5/2)*p",
+      "coords": {}
+    },
+    {
+      "index": 3164,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3164.png",
+      "answer": "[0, \\sqrt{2}]",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;O: Origin;Expression(C) = (x^2/8 + y^2/4 = 1);PointOnCurve(P, C);LeftFocus(C) = F1;RightFocus(C) = F2",
+      "coords": {}
+    },
+    {
+      "index": 3165,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3165.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;G: Line;PointOnCurve(F, G);B: Point;UpperVertex(C) = B;PointOnCurve(B, G);A: Point;Intersection(G, C) = {A,B};Abs(LineSegmentOf(B, F)) = 3*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 3166,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3167,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3167.png",
+      "answer": "(2/5)*sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Parabola;F: Point;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y = x^2/4);Focus(H) = F",
+      "coords": {}
+    },
+    {
+      "index": 3168,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3168.png",
+      "answer": "8",
+      "fact_expr": "Gamma: Parabola;Expression(Gamma) = (y^2 = 6*x);l: Line;PointOnCurve(Focus(Gamma), l);Inclination(l) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3169,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3169.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;A: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(A, G);Distance(A, LeftFocus(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 3170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3170.png",
+      "answer": "(1, 2]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 3*a^2",
+      "coords": {}
+    },
+    {
+      "index": 3171,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3172,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "y",
+        "x_coef": 5.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3172.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;A: Point;M: Point;F: Point;Expression(G) = (x^2/5 + y^2/9 = 1);Coordinate(A) = (2*sqrt(3), 0);UpperFocus(G) = F;PointOnCurve(M, G)",
+      "coords": {
+        "A": [
+          3.4641016151377544,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3173,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3173.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1,P,F2)=pi/3",
+      "coords": {}
+    },
+    {
+      "index": 3174,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3174.png",
+      "answer": "x+2*y-8=0",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(MidPoint(InterceptChord(l,G))) = (4, 2)",
+      "coords": {}
+    },
+    {
+      "index": 3175,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 5.916079783099616,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3175.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/35 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3176,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3176.png",
+      "answer": "pm*x-3*y=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3177,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3177.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;B: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsChordOf(LineSegmentOf(A,B),RightPart(C));PointOnCurve(F2,LineSegmentOf(A,B));VectorOf(A,F2)=(3/4)*VectorOf(A,B);Abs(LineSegmentOf(A,F1))=Abs(LineSegmentOf(A,F2))+(1/2)*Abs(LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 3178,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3179,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3180,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3180.png",
+      "answer": "2",
+      "fact_expr": "Q: Point;Coordinate(Q) = (2*sqrt(2), 0);P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);G: Parabola;Expression(G) = (y = x^2/4);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3181,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3181.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P,RightPart(C));DotProduct((VectorOf(O, F2) + VectorOf(O, P)),VectorOf(P, F2) )= 0;2*Abs(VectorOf(P, F1)) = 3*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3182,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3182.png",
+      "answer": "13",
+      "fact_expr": "E: Ellipse;A: Point;P: Point;F1: Point;F2: Point;Expression(E) = (x^2/25 + y^2/9 = 1);Coordinate(A) = (2, sqrt(5));LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, E)",
+      "coords": {
+        "A": [
+          2.0,
+          2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 3183,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3183.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G)=e;a <=sqrt(3)*b;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 3184,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3184.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Q: Point;l:Line;Expression(C) = (y^2 = 8*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P,F),C))=Q;VectorOf(P, F) = 4*VectorOf(Q, F)",
+      "coords": {}
+    },
+    {
+      "index": 3185,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3186,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3186.png",
+      "answer": "7*sqrt(3)/2",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/12 + y^2/3 = 1);P: Point;PointOnCurve(P, G);PointOnCurve(MidPoint(LineSegmentOf(P, F1)), yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 3187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3187.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;A: Point;PointOnCurve(A, LeftPart(E));AngleOf(F1, A, F2) = ApplyUnit(120, degree);Abs(LineSegmentOf(A, F2)) = 3*Abs(LineSegmentOf(A, F1))",
+      "coords": {}
+    },
+    {
+      "index": 3188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3188.png",
+      "answer": "x^2+(y-1)^2=2",
+      "fact_expr": "G: Parabola;H: Circle;L: Line;Center(H)=Focus(G);Expression(G) = (x^2 = 4*y);Expression(L) = (y = x + 3);IsTangent(L,H)",
+      "coords": {}
+    },
+    {
+      "index": 3189,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3189.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G), H);Inclination(H)=ApplyUnit(60,degree);NumIntersection(H,G)=1",
+      "coords": {}
+    },
+    {
+      "index": 3190,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3191,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3192,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3192.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);M: Point;Coordinate(M) = (6, 4)",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3193,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3194,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3195,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3195.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(P, G);LeftFocus(G) = F;Distance(P, F) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3196,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3196.png",
+      "answer": "4*sqrt(5)/5-1",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;Q: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Expression(H) = (y^2 + (x - 1)^2 = 1);PointOnCurve(P, H);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 3197,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3197.png",
+      "answer": "y=pm*((sqrt(15)/5)*x)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;A: Point;PointOnCurve(A, G);O: Origin;Slope(LineOf(O, A)) = sqrt(3)/3;PointOnCurve(Vertex(G), PerpendicularBisector(LineSegmentOf(O, A)))",
+      "coords": {}
+    },
+    {
+      "index": 3198,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3198.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;F: Point;Expression(C) = (x^2/5 - y^2/3 = 1);RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 3199,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3199.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3200,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3201,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          2.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3201.png",
+      "answer": "(x^2 + (y-1)^2 = 1)&(3/2 < y <= 2)",
+      "fact_expr": "l: Line;G: Circle;A: Point;B: Point;O: Origin;M: Point;Expression(G) = (-4*y + x^2 + y^2 + 3 = 0);PointOnCurve(O, l);Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3202,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3202.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(C) = sqrt(3)*Length(RealAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 3203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3203.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3204,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3204.png",
+      "answer": "4/9",
+      "fact_expr": "M: Parabola;Expression(M) = (x^2 = 2*p*y);p: Number;p>0;F: Point;Focus(M) = F;PointOnCurve(F, l) = True;Slope(l) = 5/12;l: Line;Intersection(l, M) = {A, B};A: Point;B: Point;Quadrant(A) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3205,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3205.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Slope(G) = 1;Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3206,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3206.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y = x^2);IsChordOf(LineSegmentOf(A, B), G);Length(LineSegmentOf(A, B)) = 2;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3207,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3207.png",
+      "answer": "14",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/20 = 1);M: Point;PointOnCurve(M, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1=F2);Distance(M, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3208,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3208.png",
+      "answer": "pm*sqrt(6)/3",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 2);k: Number;G: Ellipse;Expression(G) = (x^2/3 + y^2/2 = 1);NumIntersection(H, G) = 1;Slope(H) = k",
+      "coords": {}
+    },
+    {
+      "index": 3209,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3210,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3210.png",
+      "answer": "y=pm*(2*sqrt(2)/3)*x",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(H) = 1/3;b: Number;a: Number;a > b;b > 0;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3211,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3211.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A)=(-a,0);Coordinate(B) = (0, b);LeftFocus(G)=F;In(A,Vertex(G));Distance(F, LineSegmentOf(A, B)) = b/sqrt(7);In(B,Vertex(G))",
+      "coords": {}
+    },
+    {
+      "index": 3212,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3213,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3213.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3214,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3215,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3216,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3217,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3217.png",
+      "answer": "(1,1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);H: Line;Expression(H) = (2*x - y - 4 = 0);P: Point;PointOnCurve(P,G) = True;WhenMin(Distance(P,H)) = True",
+      "coords": {}
+    },
+    {
+      "index": 3218,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3218.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;k:Number;k>0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(3)/2;RightFocus(C)=F;PointOnCurve(F, G);Slope(G) = k;Intersection(G, C) = {A, B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 3219,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3219.png",
+      "answer": "{3, 5}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3220,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3220.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1/3);a1 > b1;b1 > 0;Expression(H) = (y^2/b1^2 + x^2/a1^2 = 1);Focus(G) = Focus(H);a1:Number;b1:Number",
+      "coords": {}
+    },
+    {
+      "index": 3221,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3221.png",
+      "answer": "3/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 6*x);l: Line;PointOnCurve(P, l) = True;Coordinate(P) = (2, 2);P: Point;Intersection(l,C) = {M,N};N: Point;M: Point;MidPoint(LineSegmentOf(M,N)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3222,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3223,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3223.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);A: Point;PointOnCurve(A, G);YCoordinate(A) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3224,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3225,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3225.png",
+      "answer": "(\\sqrt{5}+1)/2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;c: Number;C:Parabola;F: Point;P: Point;L:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = c^2);Coordinate(F) = (-c, 0);LeftFocus(G) = F;PointOnCurve(F,L);IsParallel(L,Asymptote(G));Intersection(L,H)=P;PointOnCurve(P,C);Expression(C)=(y^2 = 4*(c*x));c>0",
+      "coords": {}
+    },
+    {
+      "index": 3226,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3226.png",
+      "answer": "-4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/4 = 1);A: Point;B: Point;M: Point;IsChordOf(LineSegmentOf(A,B),G) = True;MidPoint(LineSegmentOf(A,B)) = M;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 3227,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3227.png",
+      "answer": "{2*x - y + 4 = 0, 2*x - y - 6 = 0}",
+      "fact_expr": "G: Curve;Expression(G) = (y = x^2);P: Point;Coordinate(P) = (1, 1);l: Line;IsParallel(TangentOnPoint(P, G), l);Distance(TangentOnPoint(P, G), l) = sqrt(5)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3228,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3228.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};N: Point;MidPoint(LineSegmentOf(A, B)) = N;P: Point;Coordinate(P) = (12, 4);WhenMin(Abs(LineSegmentOf(N, A))+Abs(LineSegmentOf(N, P)))",
+      "coords": {
+        "P": [
+          12.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3229,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3229.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Z: Ellipse;Expression(Z) = (y^2/a^2+x^2/b^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(G) = F;P: Point;PointOnCurve(P, G);H: Circle;Center(H) = P;IsTangent(H, yAxis);TangentPoint(H, xAxis) = F",
+      "coords": {}
+    },
+    {
+      "index": 3230,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3230.png",
+      "answer": "{(0, -2*sqrt(3)), (0, 2*sqrt(3))}",
+      "fact_expr": "G: Ellipse;Expression(G) = (4*x^2 + y^2 = 16)",
+      "coords": {}
+    },
+    {
+      "index": 3231,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3231.png",
+      "answer": "3/2",
+      "fact_expr": "A: Point;B: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;G: Parabola;Expression(G) = (y = x^2/4);Abs(LineSegmentOf(A, B)) = 5;MidPoint(LineSegmentOf(A,B)) = M;M1: Point;Projection(M,xAxis) = M1;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 3232,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3233,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3233.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, G);Negation(P=A);Negation(P=B);m: Number;n: Number;Slope(LineOf(A, P)) = m;Slope(LineOf(B, P)) = n;WhenMin(sqrt(1/(m*n)) + (3*b)/a)",
+      "coords": {}
+    },
+    {
+      "index": 3234,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 2.3612699570633513,
+        "b": 1.5726654040333643,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.189494861157194e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/hyperbola/problem_3234.png",
+      "answer": "y^2/4 - x^2/9 = 1",
+      "fact_expr": "C: Hyperbola;G: Point;Coordinate(G) = (3, 2*sqrt(2));PointOnCurve(G, C);Expression(Asymptote(C)) = (y = pm*(2/3)*x)",
+      "coords": {
+        "G": [
+          3.0,
+          2.8284271247461903
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 3235,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3235.png",
+      "answer": "(sqrt(6) - sqrt(2))/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;M: Point;P: Point;Q: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(M, G);Z: Circle;Center(Z) = M;Focus(G) = F;TangentPoint(Z, xAxis) = F;Intersection(Z, yAxis) = {P, Q};Negation(P = Q);Abs(VectorOf(M, P) + VectorOf(M, Q)) = Abs(VectorOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 3236,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3236.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>b;b>0;WhenMin(a^2 + 16/(b*(a - b)));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3237,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3237.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a:Number;b:Number;a>0;b>0;Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=(sqrt(5)/3)*c;c:Number;HalfFocalLength(G)=c",
+      "coords": {}
+    },
+    {
+      "index": 3238,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3239,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3239.png",
+      "answer": "81/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);F1: Point;LeftFocus(G) = F1;l: Line;PointOnCurve(F2, l) = True;F2: Point;RightFocus(G) = F2;Intersection(l, RightPart(G)) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 3240,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3240.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Z: Line;PointOnCurve(F1, Z);A: Point;B: Point;Intersection(Z, G) = {A, B};Area(InscribedCircle(TriangleOf(A, B, F2))) = 4*pi;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {}
+    },
+    {
+      "index": 3241,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3242,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3242.png",
+      "answer": "1/9",
+      "fact_expr": "A: Point;M: Point;G: Hyperbola;a: Real;H: Parabola;p: Number;Expression(G) = (-y^2 + x^2/a = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Coordinate(M) = (1, m);PointOnCurve(M, H);Distance(M, Focus(H)) = 5;LeftVertex(G) = A;m:Number;m>0;IsParallel(OneOf(Asymptote(G)), LineOf(A, M))",
+      "coords": {}
+    },
+    {
+      "index": 3243,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3244,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3245,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3245.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = 2;Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3246,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3247,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3248,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3249,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3249.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;F1: Point;B: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, LeftPart(C)) = {A, B};VectorOf(A, F1) = 3*VectorOf(F1, B);AngleOf(A, B, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3250,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3250.png",
+      "answer": "(0,2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 3251,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3251.png",
+      "answer": "[7/9, 1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 8*Abs(LineSegmentOf(P, F2));LeftFocus(C) = F1;RightFocus(C) = F2",
+      "coords": {}
+    },
+    {
+      "index": 3252,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6277244091033936,
+        "b": 1.818325400352478,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.648646149187698e-07,
+        "converged": true,
+        "iterations": 99
+      },
+      "output_path": "results/train/hyperbola/problem_3252.png",
+      "answer": "x^2/4 - y^2/5 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Ellipse;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2/12 + y^2/3 = 1);Eccentricity(C) = 3/2;Focus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3253,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3253.png",
+      "answer": "28",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (x^2/64 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3254,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3254.png",
+      "answer": "-13/4",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (x^2 - y^2/12 = 1);PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2};Abs(LineSegmentOf(P, F1)) = (3/2)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3255,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3255.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3256,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3256.png",
+      "answer": "64",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;T: Point;l1: Line;l2: Line;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(T) = (-1, 2);Focus(C)=F;TangentOfPoint(T, C) = {l1, l2};TangentPoint(l1,C)=A;TangentPoint(l2,C)=B;PointOnCurve(F, LineOf(A,B))",
+      "coords": {
+        "T": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3257,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3257.png",
+      "answer": "32/3",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;L: Line;F: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y^2 + x^2 - 2*x - 8 = 0);Center(H)=F;Focus(G)=F;PointOnCurve(F, L);Intersection(L, Directrix(G)) = A;OneOf(Intersection(L,G))=B;VectorOf(F, A) = -3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 3258,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3258.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "F: Point;Focus(C) = F;C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;Coordinate(P) = (-1, 0);PointOnCurve(P,l) = True;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A,B)) = Q;Q: Point;Abs(LineSegmentOf(F, Q)) = 2",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3259,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3260,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3261,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_3261.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;J: Line;OneOf(Asymptote(G)) = J;Expression(J) = (y = sqrt(3)*x);Distance(RightVertex(G), J) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3262,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3262.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;O: Origin;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, C);(1/3)*Abs(LineSegmentOf(M,F1))=Abs(LineSegmentOf(M,O));Abs(LineSegmentOf(M,O))=Abs(LineSegmentOf(M,F2))",
+      "coords": {}
+    },
+    {
+      "index": 3263,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3263.png",
+      "answer": "(-4, 9/5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (4*x - 5*y + 40 = 0);WhenMin(Distance(P,H))",
+      "coords": {}
+    },
+    {
+      "index": 3264,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3265,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3265.png",
+      "answer": "sqrt(21)/7",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F2), xAxis);Q: Point;OneOf(Intersection(LineOf(P, F1), C)) = Q;Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(F1, Q))",
+      "coords": {}
+    },
+    {
+      "index": 3266,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3266.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Real;M: Point;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (-2, 8);PointOnCurve(M, Directrix(G))",
+      "coords": {
+        "M": [
+          -2.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 3267,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3268,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3268.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 12*y);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (2, 1);l: Line;PointOnCurve(P, l);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3269,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3269.png",
+      "answer": "2*pi/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;Area(TriangleOf(P,F1,F2))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3270,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3270.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Slope(OneOf(Asymptote(G))) = sqrt(2);Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 3271,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3271.png",
+      "answer": "18",
+      "fact_expr": "C: Ellipse;A: Point;F1: Point;F2: Point;Expression(C) = (x^2/25 + y^2/9 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(A,C)",
+      "coords": {}
+    },
+    {
+      "index": 3272,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3272.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;A: Point;F: Point;B: Point;l: Line;Expression(C) = (x^2/2 + y^2 = 1);RightFocus(C) = F;RightDirectrix(C) = l;In(A, l);Intersection(LineSegmentOf(A, F), C) = B;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 3273,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3273.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Slope(H) = 1;A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F))*Abs(LineSegmentOf(B, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 3274,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_3274.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;a > 0;b > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);Eccentricity(C) = sqrt(3);E: Parabola;Expression(E) = (y^2 = 4*x);OneOf(Directrix(C)) = Directrix(E)",
+      "coords": {}
+    },
+    {
+      "index": 3275,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3275.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);M: Point;PointOnCurve(M, G);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, M, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3276,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3277,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3277.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;F1: Point;Expression(G) = (x^2 - y^2/3 = 1);LeftFocus(G) = F1;PointOnCurve(F1,LineOf(A,B));Intersection(LineOf(A,B),G)={A,B};Inclination(LineOf(A,B))=pi/6",
+      "coords": {}
+    },
+    {
+      "index": 3278,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3278.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 0);Distance(P, OneOf(Asymptote(G))) = sqrt(2)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3279,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3279.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y)",
+      "coords": {}
+    },
+    {
+      "index": 3280,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3280.png",
+      "answer": "3*sqrt(21)/14",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;F: Point;C: Point;D: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F;UpperVertex(G)=A;LowerVertex(G)=C;LeftVertex(G)=B;Intersection(LineOf(A,B), LineOf(F, C)) = D",
+      "coords": {}
+    },
+    {
+      "index": 3281,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3281.png",
+      "answer": "(pm*6,0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/100 + y^2/64 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3282,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3282.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 3283,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3283.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Parabola;H: Circle;C:Line;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Expression(C) = (x + y = 2);Focus(G)=F;PointOnCurve(P,G);Quadrant(P)=1;IsDiameter(LineSegmentOf(P,F),H);PointOnCurve(Center(H),C)",
+      "coords": {}
+    },
+    {
+      "index": 3284,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3284.png",
+      "answer": "2*sqrt(5)-1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 12*x);Expression(H) = (x = -2);Coordinate(A) = (1, 4);PointOnCurve(P, G);Distance(P, H) = d;d:Number",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3285,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3285.png",
+      "answer": "16/3",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;PointOnCurve(F, l) = True;Intersection(l,G) = {A,B};B: Point;A: Point;Intersection(l,Directrix(G)) = C;C: Point;MidPoint(LineSegmentOf(A, C)) = F",
+      "coords": {}
+    },
+    {
+      "index": 3286,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3286.png",
+      "answer": "{5/4, 3}",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;m:Number;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (2, m);Focus(C) = F;PointOnCurve(P, C);O:Origin;d:Number;Distance(P,O)=d;d/Abs(LineSegmentOf(P, F)) = 8/7",
+      "coords": {}
+    },
+    {
+      "index": 3287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3287.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/6 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3288,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3288.png",
+      "answer": "(5*sqrt(3))/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/5 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);AngleOf(P, F1, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3289,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3289.png",
+      "answer": "(pm*4,0)\ny=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);Eccentricity(G) = 2;OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3290,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3290.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);K: Point;PointOnCurve(K, G);H: Point;Coordinate(H) = (0, 2)",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3291,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3291.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;F1: Point;F2:Point;P: Point;O: Origin;M: Point;Expression(G) = (y^2/16 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(F1, P)) = M;Abs(LineSegmentOf(O, M)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3292,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3292.png",
+      "answer": "(1/4, -1)",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Coordinate(Q) = (2, -1);PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, Q)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "Q": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 3293,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3293.png",
+      "answer": "4/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);P:Point;PointOnCurve(P,G);L1:Line;L2:Line;Asymptote(G)={L1,L2};Distance(P,L1)=d1;Distance(P,L2)=d2;d1:Number;d2:Number",
+      "coords": {}
+    },
+    {
+      "index": 3294,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3294.png",
+      "answer": "x^2=2*y-2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (x^2 = 4*y);Focus(G)=F;PointOnCurve(F,l);Intersection(l,G) = {A,B};IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M;M:Point;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 3295,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3296,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3296.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Circle;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Expression(H) = (y^2 + (x - 2)^2 = 4);Length(InterceptChord(OneOf(Asymptote(G)),H))=2",
+      "coords": {}
+    },
+    {
+      "index": 3297,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3298,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3298.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;c: Number;FocalLength(G) = 2*c;F: Point;RightFocus(G) = F;O: Origin;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, O)) = c;Area(TriangleOf(P, O, F)) = (1/2)*(a*b)",
+      "coords": {}
+    },
+    {
+      "index": 3299,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3299.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;C2: Circle;P: Point;M: Point;A: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(C2) = ((x-3)^2+y^2=1);Coordinate(A) = (3, 0);PointOnCurve(P, G);PointOnCurve(M, C2);IsPerpendicular(LineSegmentOf(P, M), LineSegmentOf(A, M))",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3300,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3301,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3301.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/4 + x^2/a^2 = 1);F1: Point;F2: Point;Focus(H) = {F1, F2};a: Number;a>0;P: Point;PointOnCurve(P, H);G: Parabola;Expression(G) = (y^2 = x);PointOnCurve(P, G);F3: Point;Focus(G) = F3;Abs(LineSegmentOf(P, F3)) = 9/4",
+      "coords": {}
+    },
+    {
+      "index": 3302,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3302.png",
+      "answer": "x=3",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 4*x);IsPerpendicular(l,xAxis);Length(InterceptChord(l,G))=4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3303,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3303.png",
+      "answer": "(x-2)^2+(y-4)^2=16",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;P: Point;Coordinate(P) = (2, m);m: Number;m>0;PointOnCurve(P, C);F: Point;Focus(C)=F;Distance(P,F) = 4;G: Circle;Center(G) = P;IsTangent(G, Directrix(C))",
+      "coords": {}
+    },
+    {
+      "index": 3304,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3304.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;O: Origin;D: Point;A: Point;B: Point;C: Point;E: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (1, 0);Eccentricity(G) = sqrt(2)/2;RightFocus(G) = F;PointOnCurve(Vertex(TriangleOf(A, B, C)), G);MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = F;k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(A, C))) = k3;Negation(k1*k2*k3 = 0);Slope(LineOf(O, D)) + Slope(LineOf(O, E)) + Slope(LineOf(O, F)) = -1",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3305,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3305.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;p: Number;F: Point;l: Line;A: Point;B: Point;p > 0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F,l);Intersection(l,C) = {A,B};Min(Abs(LineSegmentOf(A,B))) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3306,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3306.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));IsTangent(LineOf(P, F1), G);Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3307,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3308,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3308.png",
+      "answer": "x^2/8 - y^2/6 = 1",
+      "fact_expr": "H: Point;Coordinate(H) = (3, 2);G: Hyperbola;Expression(G) = (-x^2/3 + y^2/4 = 1);Z: Hyperbola;Asymptote(Z) = Asymptote(G);PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3309,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_3309.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;p: Number;H: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(H) = (1, 2);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3310,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3310.png",
+      "answer": "-1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);P: Point;Coordinate(P) = (4, 2);l: Line;PointOnCurve(P, l);Intersection(l, G) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P;OverlappingLine(LineSegmentOf(A, B)) = l",
+      "coords": {
+        "P": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3311,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3311.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 16)",
+      "coords": {}
+    },
+    {
+      "index": 3312,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3312.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/2 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3313,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3313.png",
+      "answer": "20",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/4 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3314,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3314.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);l: Line;H: Point;Coordinate(H) = (1, 0);PointOnCurve(H, l) = True;Intersection(l, G) = {A, B};A: Point;B: Point;O: Origin",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3315,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3315.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;e: Number;Expression(G) = (x^2/4 - y^2/4 = 1);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3316,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3317,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3317.png",
+      "answer": "x^2/12 + y^2/4 = 1",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Eccentricity(G) = sqrt(6)/3;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(P, F1, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3318,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3318.png",
+      "answer": "1/3",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/6 + y^2/2 = 1);G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 3319,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3319.png",
+      "answer": "pm*4",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (x^2 = 4*y);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3320,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3320.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (y^2/9 - x^2/m^2 = 1);m: Number;m>0;Distance(OneOf(Vertex(G)), OneOf(Asymptote(G))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 3321,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3321.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3322,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3323,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3324,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3324.png",
+      "answer": "y=pm*(4/5)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3325,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3325.png",
+      "answer": "b^2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;F1: Point;F2: Point;P: Point;M: Point;c: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Negation(P = Vertex(G));LeftFocus(G) = F1;RightFocus(G) = F2;HalfFocalLength(G) = c;TangentPoint(InscribedCircle(TriangleOf(P, F1, F2)), LineSegmentOf(F1, F2)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3326,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3327,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3327.png",
+      "answer": "9/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);F: Point;Focus(C) = F;B: Point;A: Point;PointOnCurve(A, C);PointOnCurve(B, C);Negation(A = B);PointOnCurve(F, LineOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 3328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3328.png",
+      "answer": "4*a",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(F1,H);Intersection(H,LeftPart(G)) = {A, B};Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2)) = 2*Abs(LineSegmentOf(A, B));LeftFocus(G)=F1",
+      "coords": {}
+    },
+    {
+      "index": 3329,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3330,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3330.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};M: Point;Intersection(Directrix(C), xAxis) = M;Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 3331,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3331.png",
+      "answer": "(-4, 2)",
+      "fact_expr": "C: Parabola;M: Point;P: Point;F: Point;Expression(C) = (x^2 = 8*y);Coordinate(M) = (-4, 3);Focus(C) = F;PointOnCurve(P, C);WhenMin(Perimeter(TriangleOf(P, M, F)))",
+      "coords": {
+        "M": [
+          -4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 3332,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3332.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;F: Point;B: Point;M: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F,l);Intersection(l, C) = {A,B};Intersection(l, yAxis) = M;Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, M));Abs(LineSegmentOf(A, B)) = 2 + sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 3333,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3333.png",
+      "answer": "(0,-1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 3334,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3334.png",
+      "answer": "x^2/16+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F1: Point;F2: Point;e:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(F2, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B), G);Perimeter(TriangleOf(A, F1, B)) = 16;Eccentricity(G) = e;e=sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 3335,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3335.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;k: Number;x1:Number;x2:Number;y2:Number;Expression(G) = (x^2 = 4*y);Coordinate(A) = (x1,y1);Coordinate(B)=(x2,y2);PointOnCurve(Focus(G), l);Slope(l)=k;Intersection(l, G)={A,B};Abs(LineSegmentOf(A, B)) = 8;k>0;x1<x2;y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 3336,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3336.png",
+      "answer": "x + 2*y - 2 = 0",
+      "fact_expr": "G: Ellipse;H: LineSegment;M: Point;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(M) = (1, 1/2);IsChordOf(H, G);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 3337,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3337.png",
+      "answer": "(1,+\\infty)",
+      "fact_expr": "G: Parabola;B: Point;A: Point;P: Point;Expression(G) = (y^2 = 2*x);x0: Number;Coordinate(P) = (x0, 0);PointOnCurve(A, G);PointOnCurve(B, G);Intersection(PerpendicularBisector(LineSegmentOf(A,B)), xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 3338,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3338.png",
+      "answer": "(\\sqrt{2}/2, 1)",
+      "fact_expr": "C1: Ellipse;Eccentricity(C1) = (x^2/(m + 2) - y^2/n = 1);m: Number;n: Number;C2: Hyperbola;Expression(C2) = (y^2/n + x^2/m = 1);Focus(C1) = Focus(C2);e1: Number;Eccentricity(C1) = e1",
+      "coords": {}
+    },
+    {
+      "index": 3339,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3340,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3340.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Inclination(H)=ApplyUnit(60, degree) ;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) > Abs(LineSegmentOf(B, F));Abs(LineSegmentOf(A, F)) = 2;PointOnCurve(F,H)",
+      "coords": {}
+    },
+    {
+      "index": 3341,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3341.png",
+      "answer": "a/sqrt(a^2-b^2)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2)) = I;Area(TriangleOf(P,I,F1))+Area(TriangleOf(P,I,F2))=lambda*Area(TriangleOf(F1,I,F2));lambda: Number",
+      "coords": {}
+    },
+    {
+      "index": 3342,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3342.png",
+      "answer": "y=x+1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);A: Point;B: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;M: Point;Coordinate(M) = (1, 2);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3343,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3343.png",
+      "answer": "2\nx=-1",
+      "fact_expr": "G: Parabola;p: Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(Focus(G)) = (1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 3344,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3344.png",
+      "answer": "16/3",
+      "fact_expr": "C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C)=F;PointOnCurve(A,C);PointOnCurve(B,C);VectorOf(A,F)=3*VectorOf(F,B)",
+      "coords": {}
+    },
+    {
+      "index": 3345,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3345.png",
+      "answer": "7/5",
+      "fact_expr": "l: Line;Expression(l) = (4*x - 3*y + 8 = 0);G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3346,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3346.png",
+      "answer": "[3+2*\\sqrt{3},+\\infty)",
+      "fact_expr": "G: Hyperbola;O: Point;P: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);PointOnCurve(P, RightPart(G));Center(G)=O;LeftFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 3347,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3348,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3349,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3349.png",
+      "answer": "[\\sqrt{2}-1,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) = e*Abs(LineSegmentOf(P, F2));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3350,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3350.png",
+      "answer": "{2, 6}",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;A: Point;Coordinate(A) = (0, sqrt(3));B: Point;PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(A, F));Abs(LineSegmentOf(B, F)) = 4",
+      "coords": {
+        "A": [
+          0.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 3351,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3352,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3352.png",
+      "answer": "2*sqrt(10)/5",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;A1: Circle;G: Line;A: Point;P: Point;Q: Point;O: Origin;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = x*(b/a));Coordinate(F) = (sqrt(3), 0);OneOf(Focus(C)) = F;RightVertex(C) = A;Center(A1) = A;Intersection(A1, G) = {P, Q};DotProduct(VectorOf(A, Q), VectorOf(A, P)) = 0;VectorOf(O, P) = 3*VectorOf(O, Q)",
+      "coords": {
+        "F": [
+          1.7320508075688772,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3353,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3353.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(A) = (-2,sqrt(3));Coordinate(B) = (2, 0);PointOnCurve(M, G);WhenMax(Abs(LineSegmentOf(M,A))+Abs(LineSegmentOf(M,B)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.7320508075688772
+        ],
+        "B": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3354,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3354.png",
+      "answer": "(-oo, -2-sqrt(2)) + (2, +oo)",
+      "fact_expr": "l: Line;G: Hyperbola;H: Line;k: Number;I: Point;A: Point;B: Point;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = k*x + 1);Coordinate(I) = (-2, 0);Intersection(H, LeftPart(G)) = {A, B};PointOnCurve(I, l);PointOnCurve(MidPoint(LineSegmentOf(A, B)), l);b: Number;Intercept(l, yAxis) = b",
+      "coords": {
+        "I": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3355,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3355.png",
+      "answer": "3 + 2*sqrt(2)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);-3*c^2 + a^2 + b^2 = 0;c: Number;HalfFocalLength(G) = c",
+      "coords": {}
+    },
+    {
+      "index": 3356,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3356.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/4 + y^2/2 = 1);PointOnCurve(F1, H);Intersection(H, G) = {A, B};OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2)",
+      "coords": {}
+    },
+    {
+      "index": 3357,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3357.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;F: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);OneOf(Focus(G)) = F;Focus(H) = F;OneOf(Intersection(G,H))=P;Abs(LineSegmentOf(F, P)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3358,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3358.png",
+      "answer": "13",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G)) = True;G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);C1: Circle;Expression(C1) = (y^2 + (x + 5)^2 = 9);PointOnCurve(M,C1) = True;M: Point;C2: Circle;Expression(C2) = (y^2 + (x - 5)^2 = 4);PointOnCurve(N,C2) = True;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 3359,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3359.png",
+      "answer": "(1, \\sqrt{2}]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a>b;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(G) = c;c: Number",
+      "coords": {}
+    },
+    {
+      "index": 3360,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3361,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3361.png",
+      "answer": "[1/2, 1)",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F: Point;c: Number;Coordinate(F) = (c, 0);RightFocus(E) = F;G: Line;Expression(G) = (x = a^2/c);A: Point;Intersection(G, xAxis) = A;P: Point;PointOnCurve(P, E);PointOnCurve(F, PerpendicularBisector(LineSegmentOf(A, P)))",
+      "coords": {}
+    },
+    {
+      "index": 3362,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3362.png",
+      "answer": "8/5",
+      "fact_expr": "H: Line;Slope(H) = 1;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(RightFocus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 3363,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_3363.png",
+      "answer": "x=-1",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;P: Point;Coordinate(P) = (1, 2);PointOnCurve(P, C)",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3364,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3364.png",
+      "answer": "-1/3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Slope(G) = sqrt(3);Intersection(G, C) = {A, B};Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 3365,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3365.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(Focus(G),OneOf(Asymptote(G))) = Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 3366,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3367,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3367.png",
+      "answer": "x-y-3=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);M: Point;Coordinate(M) = (4, 1);PointOnCurve(M, H);H: LineSegment;IsChordOf(H, G);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3368,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3369,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3370,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3370.png",
+      "answer": "8*x-y-15=0",
+      "fact_expr": "G: Parabola;H: LineSegment;I: Point;Expression(G) = (y^2 = 16*x);Coordinate(I) = (2, 1);PointOnCurve(I,H);MidPoint(H)=I;IsChordOf(H,G)",
+      "coords": {
+        "I": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3371,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3371.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);FocalLength(G) = 2 * Length(ImageinaryAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 3372,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3372.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/10 + y^2/m = 1);m: Number;PointOnCurve(Focus(G), yAxis);Length(MajorAxis(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 3373,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3373.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);P: Point;Q: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);Intersection(l, G) = {P, Q};x1 + x2 = 6",
+      "coords": {}
+    },
+    {
+      "index": 3374,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3374.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2 + x^2/m = 1);m: Number;m>0;H: Parabola;Expression(H) = (y^2 = 8*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3375,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.3166247903554,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 11.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3375.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;F1: Point;F2:Point;M: Point;N: Point;O: Origin;Expression(C)=(x^2/36 + y^2/11 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(M, C);MidPoint(LineSegmentOf(M, F1)) = N;Abs(LineSegmentOf(M, N)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3376,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3376.png",
+      "answer": "9/8",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (x^2/9 - y^2/3 = 1);PointOnCurve(P, RightPart(G)) = True;l1: Line;l2: Line;M: Point;N: Point;l3: Line;l4: Line;Asymptote(G) = {l3,l4};PointOnCurve(P,l1) =True;PointOnCurve(P,l2) = True;IsPerpendicular(l1,l3) = True;IsPerpendicular(l2,l4) = True;FootPoint(l1, l3) = M;FootPoint(l2, l4) = N",
+      "coords": {}
+    },
+    {
+      "index": 3377,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3378,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3379,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_3379.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 3380,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3380.png",
+      "answer": "5/2",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Expression(C) = (y^2 = 2*x);Focus(C) = F;PointOnCurve(P,C);XCoordinate(P)=2",
+      "coords": {}
+    },
+    {
+      "index": 3381,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3381.png",
+      "answer": "-4",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (x^2 = 4*y);A: Point;B:Point;PointOnCurve(Focus(G),l);Coordinate(A) = (x1,y1);Coordinate(B)=(x2,y2);Intersection(l, G) = {A,B};x1:Number;x2:Number;y1:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 3382,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3383,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3383.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C)=(x^2/a^2-y^2/b^2=1);G: Circle;a:Number;b:Number;a>0;b>0;F1: Point;F2:Point;M: Point;LeftFocus(C)=F1;RightFocus(C)=F2;Coordinate(M) = (sqrt(3), 2);PointOnCurve(M, RightPart(C));PointOnCurve(F2,G);IsDiameter(LineSegmentOf(M,F1),G)",
+      "coords": {
+        "M": [
+          1.7320508075688772,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3384,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3384.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3385,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3386,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_3386.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;F: Point;Coordinate(F) = (2, 0);OneOf(Focus(G))=F;Expression(Asymptote(G))=(y=pm*sqrt(3)*x)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3387.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;UpperVertex(C)=P;AngleOf(F1, P, F2) = pi/3;Area(TriangleOf(F1,P,F2))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3388,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3388.png",
+      "answer": "3*sqrt(3)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1,F2};AngleOf(P, F1, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3389,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3390,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 7.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3390.png",
+      "answer": "2*sqrt(7)/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/7 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3391,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3391.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "F: Point;P: Point;G: Hyperbola;b: Number;a: Number;H: Circle;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2);RightFocus(G)=F;TangentOfPoint(F,H)=LineOf(F,M);TangentPoint(LineOf(F,M),H)=M;Intersection(LineOf(F,M), yAxis)=P;MidPoint(LineSegmentOf(F, P)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3392,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3392.png",
+      "answer": "(0, pm*sqrt(13))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3393,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3394,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3395,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3395.png",
+      "answer": "arccos15/17",
+      "fact_expr": "G: Hyperbola;H: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Expression(H) = (x^2/169 + y^2/144 = 1);Focus(G) = {F1, F2};Focus(H) = {F1, F2};OneOf(Intersection(G,H))=P",
+      "coords": {}
+    },
+    {
+      "index": 3396,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3396.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;Cos(AngleOf(F1, P, F2)) = 11/14;Area(TriangleOf(F1, P, F2)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3397,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3397.png",
+      "answer": "{(11*sqrt(5)/15-2)*a, (11/6-sqrt(5))*b}",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(G) = sqrt(5)/5;F: Point;RightFocus(G) = F;A: Point;PointOnCurve(A, G);l: Line;Expression(l) = (b*x + a*y - a^2 - b^2 = 0);d: Number;Distance(A, l) = d",
+      "coords": {}
+    },
+    {
+      "index": 3398,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3398.png",
+      "answer": "{sqrt(5), sqrt(5)/2}",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, OneOf(Asymptote(C)));A: Point;FootPoint(L, OneOf(Asymptote(C))) = A;O: Origin;Area(TriangleOf(O, A, F)) = (a^2+b^2)/5",
+      "coords": {}
+    },
+    {
+      "index": 3399,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3399.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;H: Point;I: Point;t: Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (2, t);Coordinate(I) = (p/2, 0);PointOnCurve(H, G);Distance(H, I) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3400,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3400.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;C: Circle;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C) = (x^2 + (y - 4)^2 = 4);IsTangent(C, Asymptote(E))",
+      "coords": {}
+    },
+    {
+      "index": 3401,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3401.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;G: Circle;P: Point;F1: Point;a > b;b > 0;k:Number;k>=1;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2 - b^2);PointOnCurve(P, C);LeftFocus(C) = F1;PointOnCurve(MidPoint(LineSegmentOf(P,F1)), G);Slope(LineOf(P,F1)) = k",
+      "coords": {}
+    },
+    {
+      "index": 3402,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3402.png",
+      "answer": "ApplyUnit(60, degree)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (16*x^2 - 9*y^2 = 144);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 64",
+      "coords": {}
+    },
+    {
+      "index": 3403,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3403.png",
+      "answer": "{-1, 2}",
+      "fact_expr": "C: Parabola;G: Line;P: Point;A: Point;B: Point;k: Number;Expression(C) = (y = x^2/4);Coordinate(P) = (2, -2);PointOnCurve(Focus(C), G);Slope(G) = k;Intersection(G, C) = {A, B};DotProduct(VectorOf(P, A), VectorOf(P, B)) = 25",
+      "coords": {
+        "P": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 3404,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.3166247903554,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 11.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3404.png",
+      "answer": "2*sqrt(11)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/11 + y^2/6 = 1);H: Point;PointOnCurve(H, G);F1: Point;F2: Point;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 3405,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3405.png",
+      "answer": "pm*3*sqrt(5)/5",
+      "fact_expr": "l: Line;G: Ellipse;H: Circle;B: Point;A: Point;Expression(G) = (x^2 + y^2/2 = 1);Expression(H) = (x^2 + y^2 = 1);Expression(l) = (m + x - y = 0);Intersection(l, G) = {A, B};PointOnCurve(MidPoint(LineSegmentOf(A,B)), H);m:Number",
+      "coords": {}
+    },
+    {
+      "index": 3406,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3406.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Ellipse;m: Number;Expression(G) = (y^2 = 4*x);Expression(H) = (m*x^2 + y^2 = 1);OneOf(Focus(H)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3407,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3407.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;F: Point;M: Point;A: Point;l: Line;Expression(G) = (x^2/5 + y^2/4 = 1);RightFocus(G) = F;RightDirectrix(G) = l;UpperVertex(G)=A;PointOnCurve(A,LineSegmentOf(A,M));IsPerpendicular(LineSegmentOf(A,M),l);FootPoint(LineSegmentOf(A,M),l)=M",
+      "coords": {}
+    },
+    {
+      "index": 3408,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3408.png",
+      "answer": "x^2=16*y",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = ((x^2/a^2) - (y^2/b^2) = 1);a: Number;b: Number;a>0;Eccentricity(C1)=2;C2: Parabola;Expression(C2)=(x^2=2*p*y);p:Number;p>0;Distance(Focus(C2),Asymptote(C1))=2;b>0",
+      "coords": {}
+    },
+    {
+      "index": 3409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3409.png",
+      "answer": "4",
+      "fact_expr": "M: Point;Coordinate(M) = (4, 0);P: Point;PointOnCurve(P, G);G: Curve;Expression(G) = (y^2 = 8*x);Q: Point;G1:Curve;Expression(G1) = (y^2 + (x - 2)^2 = 1);PointOnCurve(Q, G1)",
+      "coords": {
+        "M": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3410,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3410.png",
+      "answer": "2+sqrt(5)",
+      "fact_expr": "G: Parabola;P: Point;x1:Number;y1:Number;Expression(G) = (y^2 = 8*x);Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3411,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3412,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3412.png",
+      "answer": "{3, 7}",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3413,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3413.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;A: Point;F: Point;P: Point;Expression(C) = (y = x^2/4);Coordinate(A) = (4, 1);Focus(C)=F;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3414,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3414.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;G: Parabola;Expression(G) = (y^2 = 8*x);OneOf(Focus(C)) = Focus(G);Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3415,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3415.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;M: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (7/2, -4);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          3.5,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 3416,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3417,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3417.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;a>0;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P,F1,F2))=I;Area(TriangleOf(I,P,F1))+Area(TriangleOf(I,P,F2))=2*Area(TriangleOf(I,F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 3418,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3418.png",
+      "answer": "-8*sqrt(3)/9",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;O: Origin;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F, LineSegmentOf(A, B));DotProduct(VectorOf(O, A), VectorOf(O, B)) =-3;Inclination(LineSegmentOf(A,B))=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 3419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3419.png",
+      "answer": "{2*sqrt(3)/3, 2}",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;F1: Point;F2: Point;P: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);l: Line;l1: Line;l2: Line;Asymptote(C) = {l1, l2};PointOnCurve(P, l);IsPerpendicular(l, l1);IsPerpendicular(l, l2);FootPoint(l, l1) = A;FootPoint(l, l2) = B;3*Abs(LineSegmentOf(F1, F2))^2 = (64*Abs(LineSegmentOf(P, A)))*Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 3420,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -3.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3420.png",
+      "answer": "y=x^2/2",
+      "fact_expr": "G: Parabola;a: Number;C: Circle;l: Line;a>0;Expression(G) = (y = a*x^2);Expression(C) = (y^2 + (x - 3)^2 = 1);Directrix(G) = l;Length(InterceptChord(l,C))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3421,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3421.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;O: Origin;Expression(G) = (y^2 = -8*x);Focus(G) = F;PointOnCurve(P,Directrix(G));PointOnCurve(A, G);Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3422,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3422.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);IsChordOf(LineSegmentOf(A, B), G) = True;A: Point;B: Point;Length(LineSegmentOf(A, B)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 3423,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3423.png",
+      "answer": "x^2/20+y^2/16=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;PointOnCurve(Focus(G), xAxis);I: Point;Coordinate(I) = (2, 1);L1: Line;L2: Line;TangentOfPoint(I, H) = {L1, L2};H: Circle;Expression(H) = (x^2 + y^2 = 4);TangentPoint(L1, H) = A;TangentPoint(L2, H) = B;A: Point;B: Point;PointOnCurve(RightFocus(G), LineOf(A, B));PointOnCurve(UpperVertex(G), LineOf(A, B))",
+      "coords": {
+        "I": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3424,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3424.png",
+      "answer": "[3/2, +\\infty)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C) = F2;PointOnCurve(M, C);Abs(LineSegmentOf(M, F1)) + Abs(LineSegmentOf(M, F2)) = 3*Abs(LineSegmentOf(M, O))",
+      "coords": {}
+    },
+    {
+      "index": 3425,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3426,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3427,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3427.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 3428,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3428.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;P: Point;A: Point;Expression(C) = (x^2/4 - y^2 = 1);Coordinate(A) = (3, 0);PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3429,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3430,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3431,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3431.png",
+      "answer": "(-2,1/2)",
+      "fact_expr": "G: Parabola;M: Point;P: Point;F: Point;Expression(G) = (y = x^2/8);Coordinate(M) = (-2, 4);Focus(G)=F;PointOnCurve(P,G);WhenMin(Abs(LineSegmentOf(P,M))+Abs(LineSegmentOf(P,F)))",
+      "coords": {
+        "M": [
+          -2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3432,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3432.png",
+      "answer": "y^2 - x^2/15 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/9 + y^2/25 = 1);Focus(H) = Focus(G);Eccentricity(G) + Eccentricity(H) = 24/5",
+      "coords": {}
+    },
+    {
+      "index": 3433,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3433.png",
+      "answer": "y^2=4*sqrt(2)*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;F: Point;Focus(G) = F;M: Point;PointOnCurve(M, G);N: Point;Intersection(Directrix(G),axis)=N;Abs(LineSegmentOf(M,F))=(7/2)*p;Area(TriangleOf(M,N,F))=4*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 3434,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3434.png",
+      "answer": "8",
+      "fact_expr": "E: Point;PointOnCurve(E, yAxis);F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;N: Point;Intersection(LineOf(E, F), G) = {M, N};MidPoint(LineSegmentOf(E, F)) = M;Abs(LineSegmentOf(N, F)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 3435,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3435.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 32",
+      "coords": {}
+    },
+    {
+      "index": 3436,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3436.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(LeftFocus(G), L) = True;IsPerpendicular(L, xAxis) = True;L: Line;Intersection(L, G) = {M, N};M: Point;N: Point;Q: Circle;IsDiameter(LineSegmentOf(M, N), Q) = True;PointOnCurve(RightVertex(G), Q) = True",
+      "coords": {}
+    },
+    {
+      "index": 3437,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3437.png",
+      "answer": "3-(3*sqrt(3)/2)",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P,C);Quadrant(P)=1;XCoordinate(P)=1",
+      "coords": {}
+    },
+    {
+      "index": 3438,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3438.png",
+      "answer": "y^2 = 6*x",
+      "fact_expr": "C: Parabola;p: Number;M: Point;H: Point;F: Point;l: Line;l1: Line;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(M, C);PointOnCurve(M, l1);IsPerpendicular(l,l1);Intersection(l,l1)=H;Abs(LineSegmentOf(M, H)) = 2;AngleOf(H, F, M) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3439,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3440,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3440.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/12 + y^2/3 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);PointOnCurve(MidPoint(LineSegmentOf(P,F1)), yAxis);LineSegmentOf(P, F1) = t*LineSegmentOf(P, F2);t:Number",
+      "coords": {}
+    },
+    {
+      "index": 3441,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3442,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3442.png",
+      "answer": "sqrt(15)/2",
+      "fact_expr": "G: Parabola;A: Point;M: Point;Coordinate(A) = (4, 0);Expression(G) = (y^2 = x);PointOnCurve(M, G);Distance(A,M)=Abs(LineSegmentOf(M,A))",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3443,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3443.png",
+      "answer": "24",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -12*x);l: Line;PointOnCurve(Focus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = -9",
+      "coords": {}
+    },
+    {
+      "index": 3444,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_3444.png",
+      "answer": "3",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/4 + y^2/b^2 = 1);b: Number;0<b;b<2;Eccentricity(C1) = 1/2;F1: Point;F2: Point;LeftFocus(C1) = F1;RightFocus(C1) = F2;M: Point;PointOnCurve(M, C1);N: Point;PointOnCurve(N, OverlappingLine(LineSegmentOf(F1, M)));Abs(LineSegmentOf(M, N)) = Abs(LineSegmentOf(M, F2));P: Point;MidPoint(LineSegmentOf(F2, N)) = P",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 3445,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3446,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3446.png",
+      "answer": "32",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;P: Point;Coordinate(P) = (4, 0);PointOnCurve(P, H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B}",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3447,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3448,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3448.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;YCoordinate(M) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3449,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3449.png",
+      "answer": "(y^{\\frac{9}{4}}) - \\frac{x^2}{4} = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/16 - y^2/9 = 1);C1: Hyperbola;Asymptote(C) = Asymptote(C1);H: Point;Coordinate(H) = (2*sqrt(3), -3);PointOnCurve(H, C1)",
+      "coords": {
+        "H": [
+          3.4641016151377544,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 3450,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3450.png",
+      "answer": "{x^2/9+y^2/(9/2)=1,x^2/3+y^2/6=1}",
+      "fact_expr": "G: Ellipse;C:Ellipse;N: Point;Expression(G) = (x^2/12 + y^2/6 = 1);Coordinate(N) = (1, 2);PointOnCurve(N,C);Eccentricity(G)=Eccentricity(C)",
+      "coords": {
+        "N": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3451,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3451.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;H: Point;C: ConicSection;Expression(G) = (x^2/4 - y^2/2 = 1);Coordinate(H) = (2, 1);PointOnCurve(H,C);Focus(G)=Focus(C)",
+      "coords": {
+        "H": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3452,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3452.png",
+      "answer": "(1/2,1)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F: Point;A: Point;e: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;RightVertex(C)=A;PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F),LineSegmentOf(P,A));Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 3453,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3454,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3454.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;G: Circle;Expression(C) = (x^2/4 - y^2/9 = 1);OneOf(Focus(C))=Center(G);Radius(G)=5",
+      "coords": {}
+    },
+    {
+      "index": 3455,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3456,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3456.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F2: Point;F1: Point;PointOnCurve(P,G);Focus(G)={F1,F2};Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3457,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3457.png",
+      "answer": "[b^2,a^2]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F2: Point;F1: Point;a > b;b > 0;x1:Number;y1:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G);Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 3458,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3458.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C)=A;Distance(A, OneOf(Asymptote(C))) = a*(2*sqrt(2))/3",
+      "coords": {}
+    },
+    {
+      "index": 3459,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3459.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;a: Number;G: Line;P: Point;A: Point;B: Point;a>0;Expression(C) = (y^2 + x^2/a^2 = 1);Expression(G) = (a*x + y - 4 = 0);PointOnCurve(P, G);IsTangent(LineOf(P, A), C);IsTangent(LineOf(P, B), C);IsPerpendicular(LineSegmentOf(P, A),LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 3460,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3460.png",
+      "answer": "16",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;P: Point;PointOnCurve(P, E)",
+      "coords": {}
+    },
+    {
+      "index": 3461,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3461.png",
+      "answer": "17/4",
+      "fact_expr": "H: Line;I: Point;Coordinate(I) = (0, 1);PointOnCurve(I, H);G: Parabola;Expression(G) = (x^2 = 4*y);Intersection(H, G) = {A, B};A: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;B: Point;Coordinate(B) = (x2, y2);x2: Number;y2: Number;y1 + y2 = 9/4",
+      "coords": {
+        "I": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3462,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3462.png",
+      "answer": "y=pm*(sqrt(3)+1)*x",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;Q: Point;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2,l);IsPerpendicular(l,OneOf(Asymptote(C)));Intersection(l,LeftPart(C))=P;Intersection(l,RightPart(C))=Q;PointOnCurve(P, PerpendicularBisector(LineSegmentOf(Q, F1)))",
+      "coords": {}
+    },
+    {
+      "index": 3463,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3463.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;H: Line;M: Point;A: Point;B: Point;F: Point;p>0;Coordinate(M) = (-p/2, 0);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 24;Tan(AngleOf(A, M, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 3464,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3464.png",
+      "answer": "(3*sqrt(5)+9)/2",
+      "fact_expr": "P: Point;PointOnCurve(P, C);C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);l: Line;Expression(l) = (x - y + 3 = 0);A: Point;B: Point;Intersection(l, xAxis) = A;Intersection(l, yAxis) = B",
+      "coords": {}
+    },
+    {
+      "index": 3465,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3465.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C1: Curve;C2: Curve;Expression(C1)=(x^2/6+y^2/2=1);Expression(C2)=(x^2/3-y^2=1);P: Point;F1: Point;F2: Point;Focus(C1)={F1,F2};OneOf(Intersection(C1,C2))=P",
+      "coords": {}
+    },
+    {
+      "index": 3466,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3466.png",
+      "answer": "3*sqrt(2)+2*sqrt(10)",
+      "fact_expr": "G: Ellipse;a: Number;P: Point;Q: Point;F: Point;a>1;Expression(G) = (y^2 + x^2/a^2 = 1);Coordinate(P) = (0, 3);RightFocus(G)=F;PointOnCurve(Q,G);Negation(Max(Distance(P,Q))>2*sqrt(5));WhenMax(Eccentricity(G))",
+      "coords": {
+        "P": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 3467,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3467.png",
+      "answer": "y=pm*4*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3468,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3468.png",
+      "answer": "5/6",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 25/12;Abs(LineSegmentOf(A, F)) < Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 3469,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3469.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Length(MajorAxis(C))=4;Eccentricity(C)=sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 3470,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3471,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3471.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;l1: Line;l2: Line;Expression(G) = (y^2 = 4*x);P: Point;Expression(l1) = (4*x - 3*y + 6 = 0);Expression(l2) = (x = -1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3472,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3473,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3473.png",
+      "answer": "sqrt(a^2+9)-1",
+      "fact_expr": "P: Point;PointOnCurve(P, G) = True;G: Parabola;Expression(G) = (y^2 = 4*x);Projection(P, yAxis) = M;M: Point;A: Point;Coordinate(A) = (4, a);a: Number;Abs(a)>4",
+      "coords": {}
+    },
+    {
+      "index": 3474,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3474.png",
+      "answer": "9",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G)) = True;G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);M: Point;PointOnCurve(M,H1) = True;H1: Circle;Expression(H1) = (y^2 + (x + 5)^2 = 4);N: Point;PointOnCurve(N,H2) = True;H2: Circle;Expression(H2) = (y^2 + (x - 5)^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3475,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3476,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_3476.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "Expression(Asymptote(D)) = (y = pm*sqrt(3)*x);D: Hyperbola;Expression(D) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(D) = F1;RightFocus(D) = F2;P: Point;PointOnCurve(P, RightPart(D)) = True",
+      "coords": {}
+    },
+    {
+      "index": 3477,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3478,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3478.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(C)) = (y = pm*(x/2))",
+      "coords": {}
+    },
+    {
+      "index": 3479,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3479.png",
+      "answer": "(0,1/2)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;M: Point;F: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (a, 0);Coordinate(B) = (0, b);LeftFocus(G) = F;VectorOf(B, M) = 2*VectorOf(M, A)",
+      "coords": {}
+    },
+    {
+      "index": 3480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3480.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/9 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3481,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3481.png",
+      "answer": "x^2/16+y^2/7=1",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(G) = (y^2 = 12*x);Length(MajorAxis(H)) = 8;Focus(G)=OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 3482,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3482.png",
+      "answer": "1/3",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/6 + y^2/2 = 1);G: Hyperbola;Expression(G) = (x^2/3 - y^2/b^2 = 1);b: Number;F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 3483,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3483.png",
+      "answer": "8",
+      "fact_expr": "G: Curve;A: Point;B: Point;P: Point;x1: Number;y1: Number;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(A) = (-2, 0);Coordinate(B) = (2, 0);Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ],
+        "B": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3484,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_3484.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 16*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3485,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3486,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch;ellipse_point_off_curve",
+      "params": {
+        "a": 2.5848636627197266,
+        "b": 2.4273612433297647,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.9079626818174794e-06,
+        "converged": true,
+        "iterations": 111
+      },
+      "output_path": "results/train/ellipse/problem_3486.png",
+      "answer": "x^2/18+y^2/9=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Point;F: Point;a>0;b>0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;Coordinate(F) = (3, 0);PointOnCurve(G, C);Coordinate(G)=(-3,3*sqrt(2)/2)",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ],
+        "G": [
+          -3.0,
+          2.121320343559643
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch",
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 3487,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3488,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3488.png",
+      "answer": "-3*sqrt(3)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;C: Point;F: Point;A: Point;B: Point;D: Point;a>0;b>0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (-a, 0);Coordinate(B) = (0, b);Coordinate(C) = (0, -b);LeftFocus(G) = F;Vertex(G)={A,B,C};Intersection(LineOf(C,F), LineOf(A, B)) = D;Eccentricity(G) = e ;e:Number;e=1/2",
+      "coords": {}
+    },
+    {
+      "index": 3489,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3490,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3490.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 3491,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3491.png",
+      "answer": "28",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(A, B)) = 6;IsChordOf(LineSegmentOf(A, B),LeftPart(G)) = True;PointOnCurve(F1,LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 3492,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3492.png",
+      "answer": "16.5",
+      "fact_expr": "G: Hyperbola;H: Point;I: Point;P: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(H) = (5, 0);Coordinate(I) = (-5, 0);PointOnCurve(P, G);Distance(P, H) = 8.5",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ],
+        "I": [
+          -5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3493,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3493.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 3494,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3494.png",
+      "answer": "(2, 4)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 2);k: Number;G: Ellipse;Expression(G) = (x^2/16 + y^2/b^2 = 1);b: Real;b>0;PointOnCurve(Focus(G), xAxis);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3495,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3495.png",
+      "answer": "y=x+1/4",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y^2 = x);Slope(H)=1;NumIntersection(H,G)=1",
+      "coords": {}
+    },
+    {
+      "index": 3496,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3496.png",
+      "answer": "(pm*sqrt(5), 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3497,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3497.png",
+      "answer": "-83",
+      "fact_expr": "H: Line;Expression(H) = (y = -x - 4);G: Parabola;Expression(G) = (y^2 = -12*x);A: Point;B: Point;Intersection(H, G) = {A, B};F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 3498,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3498.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2=2*p*x);p: Number;p>0;F: Point;Focus(G) = F;L1: Ray;L2: Ray;PointOnCurve(F, L1);PointOnCurve(F, L2);IsPerpendicular(L1, L2);M: Point;N: Point;Intersection(L1, G) = M;Intersection(L2, G) = N;IsChordOf(LineSegmentOf(M, N), G);P: Point;MidPoint(LineSegmentOf(M, N)) = P;Q: Point;PointOnCurve(P, LineSegmentOf(P, Q));IsPerpendicular(LineSegmentOf(P, Q), Directrix(G));FootPoint(LineSegmentOf(P, Q), Directrix(G)) = Q",
+      "coords": {}
+    },
+    {
+      "index": 3499,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3499.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a = 1);FocalLength(G) = 2;a: Number;a>1",
+      "coords": {}
+    },
+    {
+      "index": 3500,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3501,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3501.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;B: Point;A: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F;Endpoint(ImageinaryAxis(G))=B;RightVertex(G)=A;Distance(A, LineOf(F,B)) = b/sqrt(7);Eccentricity(G) = e;L:Line;PointOnCurve(F,L);PointOnCurve(B,L)",
+      "coords": {}
+    },
+    {
+      "index": 3502,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3502.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;F2: Point;F1:Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Slope(H)=sqrt(3)/3;LeftFocus(G)=F1;PointOnCurve(F1,H);Intersection(H,RightPart(G))=P;IsPerpendicular(LineSegmentOf(P,F2),xAxis);RightFocus(G)=F2",
+      "coords": {}
+    },
+    {
+      "index": 3503,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3504,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3504.png",
+      "answer": "(16,4)",
+      "fact_expr": "G: Parabola;C: Circle;C1:Point;H: Point;A: Point;B: Point;O:Origin;Expression(G) = (y^2 = x);Coordinate(H) = (0, 2);Center(C)=C1;PointOnCurve(H, C);PointOnCurve(C1,G);Negation(C1=O);Intersection(C, yAxis) = {A, B};Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3505,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3505.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;M: Point;N: Point;Expression(C) = (y^2 = 2*(p*x));Coordinate(N) = (3, 0);Expression(Directrix(C)) = (x = -1);PointOnCurve(M, C)",
+      "coords": {
+        "N": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3506,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3506.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;a: Number;Expression(G) = (x^2 = a*y);Expression(Directrix(G)) = (y = -1/4)",
+      "coords": {}
+    },
+    {
+      "index": 3507,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3508,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3508.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "M: Point;PointOnCurve(M, G);G: Ellipse;Expression(G) = (x^2/9 + y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 3509,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3509.png",
+      "answer": "x = -1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x)",
+      "coords": {}
+    },
+    {
+      "index": 3510,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3511,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3512,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3512.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "E: Ellipse;m: Number;A: Point;P: Point;B: Point;m>1;Expression(E) = (x^2 + y^2/m = 1);Vertex(MinorAxis(E)) = {A, B};PointOnCurve(P, E);Negation(P = A);Negation(P = B);Slope(LineOf(A, P))*Slope(LineOf(B, P)) = -4/m",
+      "coords": {}
+    },
+    {
+      "index": 3513,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3513.png",
+      "answer": "pm*2*sqrt(2)/3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;k: Number;Expression(C) = (y^2 = 8*x);Expression(G) = (y = k*(x + 2));Intersection(G, C) = {A, B};Focus(C) = F;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 3514,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3514.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;E: Hyperbola;a: Number;b: Number;P: Point;Q: Point;C: Point;F2: Point;O: Origin;M: Point;F1: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(E) = F2;LeftFocus(E) = F1;PointOnCurve(F1, l);Intersection(l, LeftPart(E)) = P;Intersection(l, RightPart(E)) = Q;Intersection(yAxis, l) = C;MidPoint(LineSegmentOf(P, Q)) = M;IsPerpendicular(LineSegmentOf(C, F2), LineSegmentOf(O, M))",
+      "coords": {}
+    },
+    {
+      "index": 3515,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3516,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3516.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M,G);Focus(G)=F;Distance(M,F)=Abs(LineSegmentOf(M,F));Abs(LineSegmentOf(M,F))=5",
+      "coords": {}
+    },
+    {
+      "index": 3517,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3517.png",
+      "answer": "(0, 1)",
+      "fact_expr": "G: Parabola;p: Number;M: Point;F: Point;p>0;Expression(G) = (x^2 = 2*(p*y));y0: Number;Coordinate(M) = (4, y0);PointOnCurve(M, G);Focus(G) = F;Distance(M, F) = Abs(LineSegmentOf(M, F)) ;Abs(LineSegmentOf(M, F)) = (5/4)*y0",
+      "coords": {}
+    },
+    {
+      "index": 3518,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3519,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3520,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3520.png",
+      "answer": "ApplyUnit(45,degree)",
+      "fact_expr": "l: Line;C: Parabola;B: Point;A: Point;Expression(C) = (y^2 = 6*x);Intersection(l,C) = {A, B};YCoordinate(MidPoint(LineSegmentOf(A,B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3521,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3521.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 4);Length(InterceptChord(OneOf(Asymptote(C)),G))=2",
+      "coords": {}
+    },
+    {
+      "index": 3522,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3522.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);LineSegmentOf(P, F) = 3;G: Line;Expression(G) = (x = -1)",
+      "coords": {}
+    },
+    {
+      "index": 3523,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3523.png",
+      "answer": "1/3",
+      "fact_expr": "C1: Curve;C2: Curve;F1: Point;P: Point;F2: Point;Expression(C1)= (x^2/6 + y^2/2 = 1);Expression(C2)=( x^2/3 - y^2 = 1);Focus(C1)={F1,F2};OneOf(Intersection(C1,C2))=P",
+      "coords": {}
+    },
+    {
+      "index": 3524,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3524.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(H) = F1;RightFocus(H) = F2;G: Parabola;Expression(G) = (y^2 = 2*(b*x));F: Point;Focus(G) = F;VectorOf(F1, F) = (5/3)*VectorOf(F, F2)",
+      "coords": {}
+    },
+    {
+      "index": 3525,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3526.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x - 1);Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 3527,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3527.png",
+      "answer": "{2, 6}",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (0, sqrt(3));Focus(C) = F;PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(A, F));Abs(LineSegmentOf(B, F)) = 4",
+      "coords": {
+        "A": [
+          0.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 3528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3528.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 6*x);F: Point;Focus(G) = F;PointOnCurve(F, l) = True;l: Line;Intersection(l, G) = {A, B};B: Point;A: Point;O: Origin;VectorOf(O, M) = VectorOf(O, B)/4;VectorOf(O, A) = VectorOf(O, N)/4;L1: Line;L2: Line;PointOnCurve(M, L1) = True;PointOnCurve(N, L2) = True;M: Point;N: Point;IsPerpendicular(L1, Directrix(G)) = True;IsPerpendicular(L2, Directrix(G)) = True;FootPoint(L1, Directrix(G)) = C;FootPoint(L2, Directrix(G)) = D;C: Point;D: Point",
+      "coords": {}
+    },
+    {
+      "index": 3529,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3530,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3530.png",
+      "answer": "pm*4*sqrt(3)",
+      "fact_expr": "C: Parabola;G: Line;k: Number;A: Point;B: Point;N: Point;M: Point;Expression(C) = (y = 2*x^2);Expression(G) = (y = k*x + 2);Intersection(C, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;l: Line;PointOnCurve(M, l);IsPerpendicular(l, xAxis);FootPoint(l, xAxis) = N;DotProduct(VectorOf(N, A), VectorOf(N, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3531,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3531.png",
+      "answer": "42",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;y1:Number;y2:Number;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (2, y1);Coordinate(B) = (1/2, y2);Focus(G) = F;Quadrant(A)=1;Quadrant(B)=4;Abs(LineSegmentOf(A, F)) = 10;PointOnCurve(A,G);PointOnCurve(B,G)",
+      "coords": {}
+    },
+    {
+      "index": 3532,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3532.png",
+      "answer": "x^2/2-y^2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Q: Point;Expression(H) = (x^2/4 + y^2 = 1);Coordinate(Q) = (2, 1);Focus(G)=Focus(H);PointOnCurve(Q,G)",
+      "coords": {
+        "Q": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3533,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3534,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3535,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3535.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3536,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3537,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3537.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Parabola;H: Ellipse;k: Number;Expression(G) = (y^2 = 12*x);k>0;Expression(H) = (k*y^2 + x^2 = 3*k);OneOf(Focus(H))=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3538,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3538.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3539,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3539.png",
+      "answer": "16/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F,l);Slope(l)=sqrt(3);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3540,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3540.png",
+      "answer": "2",
+      "fact_expr": "G:Hyperbola;p: Number;H: Parabola;Expression(G) = (-x^2 + 2*y^2 = 2*p^2);p>0;Expression(H) = (y^2 = 2*p*x);Distance(Focus(H),OneOf(Focus(G))) = sqrt(13)",
+      "coords": {}
+    },
+    {
+      "index": 3541,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3541.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;e: Number;Expression(G) = (-y^2/2 + x^2/a = 1);Expression(H) = (x^2/4 + y^2/a^2 = 1);Focus(H) = Focus(G);Eccentricity(H) = e",
+      "coords": {}
+    },
+    {
+      "index": 3542,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3542.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l) ;Intersection(l, RightPart(C)) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, F1)) = Abs(LineSegmentOf(F1, F2));Abs(LineSegmentOf(B, F2)) = 2*Abs(LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3543,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3543.png",
+      "answer": "y = pm*(x- 1)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Abs(LineSegmentOf(A, B)) = 8;NumIntersection(H, G) = 2;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 3544,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3544.png",
+      "answer": "(2*sqrt(3))/3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=1/4*FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 3545,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3545.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;H: Line;A: Point;F: Point;B: Point;K: Point;Expression(C)=(y^2=4*x);Focus(C)=F;Intersection(Directrix(C), xAxis) = K;PointOnCurve(F,H);Intersection(H, C) = {A, B};Abs(LineSegmentOf(A, F)) - Abs(LineSegmentOf(B, F)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 3546,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3546.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (x - sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 3547,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3547.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;M: Point;Expression(G) = (y^2 = x);Focus(G) = F;PointOnCurve(F, LineOf(A, B));Intersection(LineOf(A, B), G) = {A, B};Abs(LineSegmentOf(A, B)) = 3;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3548,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3548.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);O:Origin;Distance(P,O)=2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3549,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3549.png",
+      "answer": "(2,+oo)",
+      "fact_expr": "M: Point;Coordinate(M) = (x0, y0);x0: Number;y0: Number;C: Parabola;Expression(C) = (x^2 = 8*y);PointOnCurve(M, C) = True;Focus(C) = F;F:Point;G: Circle;Center(G) = F;Radius(G) = Abs(LineSegmentOf(F, M));IsIntersect(G , Directrix(C)) = True",
+      "coords": {}
+    },
+    {
+      "index": 3550,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3550.png",
+      "answer": "(\\sqrt{2}-1)/2",
+      "fact_expr": "P: Point;m: Number;H: Circle;G: Parabola;Expression(G) = (x^2 = 4*(y-m));Expression(H) = (x^2 + y^2 = 1);Quadrant(P) = 1;Intersection(H, G)=P;IsPerpendicular(TangentOnPoint(P, G), TangentOnPoint(P, H))",
+      "coords": {}
+    },
+    {
+      "index": 3551,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3551.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;M: Point;P: Point;Q: Point;L:Line;Expression(G) = (x^2 - y^2/4 = 1);PointOnCurve(M,G);PointOnCurve(M,L);IsParallel(L,RealAxis(G));Intersection(L,Asymptote(G))={P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 3552,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3552.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p<0;F: Point;Focus(G) = F;PointOnCurve(F, LineSegmentOf(A, B)) = True;PointOnCurve(F, LineSegmentOf(C, D)) = True;IsChordOf(LineSegmentOf(A, B), G)  = True;IsChordOf(LineSegmentOf(C, D), G) = True;IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(C, D)) = True;A: Point;B: Point;C: Point;D: Point;Min(Area(TriangleOf(A, C, F)) + Area(TriangleOf(B, D, F))) = 32",
+      "coords": {}
+    },
+    {
+      "index": 3553,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3553.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;F: Point;P: Point;Q: Point;Expression(C) = (x^2 = 12*y);Expression(G) = (y=-3);Focus(C) = F;PointOnCurve(P, C);Intersection(LineOf(F,P),G) = Q;VectorOf(P, Q) = 2*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 3554,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3555,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3555.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/a^2+y^2/b^2 = 1);a: Number;b: Number;a>b;b>0;C2: Circle;Expression(C2) = (y^2+x^2 = a^2-b^2);P: Point;OneOf(Intersection(C1,C2)) = P;2*AngleOf(P,F1,F2) = AngleOf(P,F2,F1);F1: Point;F2: Point;LeftFocus(C1) = F1;RightFocus(C1) = F2",
+      "coords": {}
+    },
+    {
+      "index": 3556,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3557,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3558,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3558.png",
+      "answer": "(0,4]",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);D: Point;Coordinate(D) = (4, 0);F: Point;Focus(C) = F;PointOnCurve(F, l);Slope(l) = k;k: Number;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;DotProduct(VectorOf(A, D), VectorOf(B, D)) <= 1",
+      "coords": {
+        "D": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3559,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3559.png",
+      "answer": "{1, 17}",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Distance(P, F1) = 9",
+      "coords": {}
+    },
+    {
+      "index": 3560,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3561,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3562,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3562.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;Expression(G) = (y^2 = 2*x);PointOnCurve(M, G);Distance(M, O) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3563,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3563.png",
+      "answer": "{y^2 = 8*x, y^2 = -16*x}",
+      "fact_expr": "G: Parabola;m: Number;H: Line;Expression(G) = (y^2 = m*x);Expression(H) = (x = 1);Distance(Directrix(G), H) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3564,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3564.png",
+      "answer": "sqrt(17)/2",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(Q) = (0, 2);PointOnCurve(P,G)",
+      "coords": {
+        "Q": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3565,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3565.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);P: Point;PointOnCurve(P, LeftPart(G));F: Point;RightFocus(G) = F;M: Point;MidPoint(LineSegmentOf(F, P)) = M;O: Origin;Distance(M, O) = 7",
+      "coords": {}
+    },
+    {
+      "index": 3566,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3567,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3567.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Focus(C) = {F1, F2};Quadrant(P) = 1;PointOnCurve(P, C);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 9/4",
+      "coords": {}
+    },
+    {
+      "index": 3568,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3568.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Line;Slope(H) = 1;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};YCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3569,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3569.png",
+      "answer": "1 - sqrt(3)/2",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (4*x^2 + y^2 = 1);PointOnCurve(P, G);OneOf(Focus(G))=F",
+      "coords": {}
+    },
+    {
+      "index": 3570,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3570.png",
+      "answer": "sqrt(6)-sqrt(3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;O: Origin;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,C);DotProduct(VectorOf(P,F1),(VectorOf(O,F1)+VectorOf(O,P)))=0;Abs(LineSegmentOf(P,F1))=sqrt(2)*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 3571,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3571.png",
+      "answer": "[0, 1]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/m^2 = 1);m: Number;0 < m;m < 2;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);PointOnCurve(P, C);Area(TriangleOf(P, F1, F2)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3572,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3572.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;M: Point;N: Point;A: Point;B: Point;p>0;Expression(G) = (x^2 = 2*(p*y));Coordinate(M) = (0, 1);PointOnCurve(M, H);Intersection(H, G) = {A, B};Negation(A=B);Intersection(TangentOnPoint(A,G),TangentOnPoint(B,G))=N;DotProduct(VectorOf(N, A), VectorOf(N, B)) = 0",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3573,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3574,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3574.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;H: Parabola;Expression(H) = (y^2 = 20*x);OneOf(Focus(G)) = Focus(H);Distance(OneOf(Focus(G)), Asymptote(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3575,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3575.png",
+      "answer": "pi/2",
+      "fact_expr": "E: Point;Coordinate(E) = (2, 2);C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;H: Point;Coordinate(H) = (2, 0);l: Line;PointOnCurve(H, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point;Negation(A = E);Negation(B = E);G: Line;Expression(G) = (x = -2);Intersection(LineOf(E, A), G) = M;M: Point;Intersection(LineOf(E, B), G) = N;N: Point;O: Origin",
+      "coords": {
+        "E": [
+          2.0,
+          2.0
+        ],
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3576,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_3576.png",
+      "answer": "x^2/(1/3)-y^2/(2/3)=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Eccentricity(G) = sqrt(3);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3577,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3577.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "l: Line;G: Parabola;a: Number;O: Origin;A: Point;F: Point;a>0;Expression(G) = (y^2 = a*x);Slope(l) = 2;Focus(G) = F;PointOnCurve(F, l);Intersection(l,yAxis) = A;Area(TriangleOf(O, A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3578,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3578.png",
+      "answer": "y^2=20*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*(m*x));m: Number;m>0;G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);Distance(Focus(H), OneOf(Asymptote(G))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3579,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3579.png",
+      "answer": "-3",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2 + y^2/m = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3580,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3580.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;F2: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(F1,F2),G);Intersection(G,LeftPart(C))=A;Intersection(LineSegmentOf(A,F2),RightPart(C))=B;Cos(AngleOf(F1, B, F2)) = -3/5",
+      "coords": {}
+    },
+    {
+      "index": 3581,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3581.png",
+      "answer": "{(sqrt(3),0),(-sqrt(3),0)}\nsqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 2)",
+      "coords": {}
+    },
+    {
+      "index": 3582,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3582.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;H1: Line;H2: Line;P: Point;d1: Number;d2: Number;Expression(G) = (x^2 + y^2/4 = 1);Expression(H1) = (2*x + y = 0);Expression(H2) = (2*x - y = 0);PointOnCurve(P, G);Distance(P, H1) = d1;Distance(P, H2) = d2",
+      "coords": {}
+    },
+    {
+      "index": 3583,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3583.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;L: Line;PointOnCurve(F,L) = True;Intersection(L,C) = {A,B};A: Point;B: Point;Quadrant(A) = 1;VectorOf(A, F) = 5*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 3584,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3584.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;Expression(G) = (x^2/8 - y^2/b^2 = 1);Expression(H) = (y^2 = 8*x);OneOf(Directrix(G))=Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 3585,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3586,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3586.png",
+      "answer": "42",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (-x^2/36 + y^2/64 = 1);PointOnCurve(P, G);Distance(P, OneOf(Focus(G))) = 3;F1:Point;F2:Point;Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 3587,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3588,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3588.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3589,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3589.png",
+      "answer": "[1/3, 3]",
+      "fact_expr": "G: Ellipse;M: Point;D: Point;C: Point;lambda: Real;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(M) = (0, 2);PointOnCurve(C, G);PointOnCurve(D, G);VectorOf(M, D) = lambda*VectorOf(M, C)",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3590,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3590.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;F1: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x*(b/(3*a)));LeftFocus(G) = F1;Intersection(H,LeftPart(G))=P;IsPerpendicular(LineSegmentOf(P,F1),xAxis);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3591,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3592,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3593,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3593.png",
+      "answer": "25/8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F));IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 3594,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3594.png",
+      "answer": "17/2",
+      "fact_expr": "C: Parabola;G: Line;P: Point;B: Point;A: Point;F: Point;Expression(C) = (y^2 = 12*x);Coordinate(P) = (1, 0);Focus(C) = F;PointOnCurve(P,G);Intersection(G,C) = {A, B};2*VectorOf(B, P) = VectorOf(P, A)",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3595,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3595.png",
+      "answer": "x^2/5 - y^2/20 = 1",
+      "fact_expr": "l: Line;G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (y = 2*x - 10);IsParallel(l, OneOf(Asymptote(G)));PointOnCurve(OneOf(Focus(G)), l)",
+      "coords": {}
+    },
+    {
+      "index": 3596,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3596.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;Expression(G) = (y^2 + x^2/a = 1);Coordinate(H) = (0,-2);OneOf(Focus(G))=H",
+      "coords": {
+        "H": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 3597,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_3597.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;Coordinate(Focus(G)) = (pm*5, 0);Expression(Asymptote(G)) = (y = pm*(4/3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 3598,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3598.png",
+      "answer": "sqrt(5)*2/5",
+      "fact_expr": "G: Hyperbola;H: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(H) = (2, 0)",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3599,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3599.png",
+      "answer": "4",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Real;p>0;G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3600.png",
+      "answer": "(2, 2*sqrt(2))",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;P: Point;x1: Number;y1: Number;Coordinate(P) = (x1, y1);Quadrant(P) = 1;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3601,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3601.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;e:Number;Expression(H) = (x^2/49 + y^2/24 = 1);Focus(G)=Focus(H);Eccentricity(G)=e;e=5/3",
+      "coords": {}
+    },
+    {
+      "index": 3602,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3602.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2/4 = -1)",
+      "coords": {}
+    },
+    {
+      "index": 3603,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3603.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/m^2 = 1);m: Number;0 < m;m < 4;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, G) = {A, B};Max(Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2))) = 10",
+      "coords": {}
+    },
+    {
+      "index": 3604,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3604.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;H: Line;P:Point;Expression(G) = (x^2/3 + y^2 = 1);Expression(H) = (x + y = 4);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 3605,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3606,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3607,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3607.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;A: Point;B: Point;O: Origin;F: Point;l: Line;a>0;b>0;L1:Line;L2:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Focus(H) = F;Directrix(H) = l;Intersection(l,L1)=A;Intersection(l,L2)=B;Abs(LineSegmentOf(A, B)) = 4*Abs(LineSegmentOf(O, F));Asymptote(G)={L1,L2}",
+      "coords": {}
+    },
+    {
+      "index": 3608,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3608.png",
+      "answer": "{2,1/2}",
+      "fact_expr": "F: Point;Focus(C) = F;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;l: Line;Intersection(l, C) = {M, N};M: Point;N: Point;AngleOf(M, F, N) = ApplyUnit(60, degree);MidPoint(LineSegmentOf(M, N)) = P;P: Point;Distance(P, Directrix(C)) = d;d: Number;d = Abs(LineSegmentOf(M, N))*sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 3609,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3610,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch;ellipse_point_off_curve",
+      "params": {
+        "a": 1.8644779920578003,
+        "b": 1.6090798277777116,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.9372904104920558e-05,
+        "converged": true,
+        "iterations": 60
+      },
+      "output_path": "results/train/ellipse/problem_3610.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Point;F: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (sqrt(2), 1);Coordinate(F) = (sqrt(2), 0);RightFocus(E) = F;PointOnCurve(G, E)",
+      "coords": {
+        "G": [
+          1.4142135623730951,
+          1.0
+        ],
+        "F": [
+          1.4142135623730951,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch",
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 3611,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_3611.png",
+      "answer": "5*sqrt(5)/8",
+      "fact_expr": "l: Line;E: Hyperbola;b: Number;a: Number;F: Point;A: Point;C: Point;B: Point;D: Point;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-5, 0);Eccentricity(E) = sqrt(5)/2;LeftFocus(E) = F;PointOnCurve(F,l);Intersection(l, E) = {A, B};L1:Line;L2:Line;Asymptote(E)={L1,L2};Intersection(l,L1)=C;Intersection(l,L2)=D;VectorOf(F, A) = VectorOf(A, C)",
+      "coords": {
+        "F": [
+          -5.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3612,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3613,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3614,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3614.png",
+      "answer": "y=pm*(1/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3615,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3615.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3616,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3616.png",
+      "answer": "[\\sqrt{3}, +\\infty)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;c: Number;F1: Point;F2: Point;P: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = -2*c^2/3",
+      "coords": {}
+    },
+    {
+      "index": 3617,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3617.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3618,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3618.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;c: Number;F: Point;a>0;b>0;L:Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (-a + x)^2 = c^2/16);RightFocus(C) = F;TangentOfPoint(F,G)=L;IsPerpendicular(L,OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 3619,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3619.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;G: Line;Q: Point;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F,G);Intersection(G, C) = {P, Q};Quadrant(Q)=1;2*VectorOf(P, F) = VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 3620,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.9970735311508179,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 2.85904548036342e-06,
+        "converged": true,
+        "iterations": 88
+      },
+      "output_path": "results/train/parabola/problem_3620.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Real;H: Point;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (2, 4);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3621,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3621.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 12*y);A: Point;P: Point;B: Point;Coordinate(A) = (0, 5);PointOnCurve(P,G);l1:Line;Expression(l1)=(y=-3);l2:Line;IsPerpendicular(l2,l1);PointOnCurve(P,l2);FootPoint(l1,l2)=B;Abs(LineSegmentOf(P, B)) = Abs(LineSegmentOf(P, A))",
+      "coords": {
+        "A": [
+          0.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 3622,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3622.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;HalfFocalLength(G)=c;c:Number;O:Origin;l:Line;Expression(l) = (a*y + b*x = a*b);Distance(O,l)=(c/4+1)",
+      "coords": {}
+    },
+    {
+      "index": 3623,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3623.png",
+      "answer": "2*sqrt(7)",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Expression(Asymptote(G)) = (y = pm*(x*(sqrt(3)/2)))",
+      "coords": {}
+    },
+    {
+      "index": 3624,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3624.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3625,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3625.png",
+      "answer": "-3",
+      "fact_expr": "l: Line;C: Parabola;P: Point;Q: Point;A: Point;B: Point;lambda:Real;mu:Real;Expression(C) = (x^2 = y);Expression(l) = (y = x + 1);Intersection(l, C) = {A, B};Coordinate(P) = (0, 1);Coordinate(Q) = (-1, 0);VectorOf(P, Q) = lambda*VectorOf(Q, A);lambda*VectorOf(Q, A) = mu*VectorOf(Q, B)",
+      "coords": {
+        "P": [
+          0.0,
+          1.0
+        ],
+        "Q": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3626,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3626.png",
+      "answer": "(5,0)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 9*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3627,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3628,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3628.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;d1: Number;d2: Number;Expression(G) = (y^2 = -8*x);Expression(H) = (x + y - 10 = 0);PointOnCurve(P, G);Distance(P, Directrix(G)) = d1;Distance(P, H) = d2",
+      "coords": {}
+    },
+    {
+      "index": 3629,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3629.png",
+      "answer": "5/7",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O, G);Intersection(C, G) = {A, B};LineSegmentOf(A, B) = 15;LineSegmentOf(B, F) = 12;Sin(AngleOf(A, B, F)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 3630,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3630.png",
+      "answer": "-4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Real;Expression(G) = (x^2/3 - y^2 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = LeftFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3631,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3631.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;FocalLength(C1) = 4;C2: Circle;Expression(C2) = ((x - 2)^2 + y^2 = 1);IsTangent(Asymptote(C1), C2)",
+      "coords": {}
+    },
+    {
+      "index": 3632,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3633,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3633.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;P: Point;B: Point;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Intersection(LeftDirectrix(G), xAxis) = B;Coordinate(A) = (0, b);VectorOf(A, P) = 3*VectorOf(A, B);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3634,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3634.png",
+      "answer": "(\\sqrt{2}/2, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2))<0",
+      "coords": {}
+    },
+    {
+      "index": 3635,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3635.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;F: Point;M: Point;N: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;IsDiameter(LineSegmentOf(O,F),G);Intersection(OneOf(Asymptote(C)),G)=M;Negation(M=O);L:Line;PointOnCurve(F,L);IsPerpendicular(L,xAxis);Intersection(L,OneOf(Asymptote(C)))=N;Area(TriangleOf(O,M,F))=4*Area(TriangleOf(M,N,F))",
+      "coords": {}
+    },
+    {
+      "index": 3636,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3636.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2/m = 1);m: Number;H: Circle;Expression(H) = (-4*y - 3*x + x^2 + y^2 + 2 = 0);F: Point;RightFocus(G) = F;PointOnCurve(F, H)",
+      "coords": {}
+    },
+    {
+      "index": 3637,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3637.png",
+      "answer": "3*x-2*y-3=0",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);H: Line;Expression(H) = (3*x - 2*y = 0);IsParallel(H, l)",
+      "coords": {}
+    },
+    {
+      "index": 3638,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3638.png",
+      "answer": "x^2/(4*a^2)+y^2/(4*b^2)=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Origin;Q: Point;P: Point;F1: Point;F2:Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};VectorOf(O, Q) = VectorOf(P, F1) + VectorOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 3639,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.3484079837799072,
+        "b": 1.8638464212417603,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.620347226591548e-06,
+        "converged": true,
+        "iterations": 88
+      },
+      "output_path": "results/train/hyperbola/problem_3639.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "L: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;Expression(L) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);LeftFocus(L) = F1;RightFocus(L) = F2;PointOnCurve(P, L);4*Abs(LineSegmentOf(P, F1)) = 5*Abs(LineSegmentOf(P, F2));DotProduct(VectorOf(P, F2), VectorOf(F1, F2)) = 0",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3640,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3640.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;M: Point;N: Point;F:Point;Expression(G) = (y^2 = 8*x);PointOnCurve(F,H);Focus(G)=F;Intersection(H,G)={A,B};MidPoint(LineSegmentOf(A,B))=M;L:Line;PointOnCurve(M,L);IsPerpendicular(L,yAxis);Intersection(L,yAxis)=N;Abs(LineSegmentOf(M, N)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3641,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 3642,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_3642.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/m = 1);m: Number;m>0;Expression(Asymptote(C)) = (y = pm*(sqrt(2)*x));F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C)) = True;Abs(LineSegmentOf(P, F1)) = m - 1",
+      "coords": {}
+    },
+    {
+      "index": 3643,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3643.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G:Line;k: Number;A: Point;F2: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = k*x);RightFocus(C) = F2;Intersection(G, C) = {A, B};AngleOf(A, F2, B) = (2*pi)/3;Area(TriangleOf(A,F2,B))=2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3644,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3644.png",
+      "answer": "(x+1)^2+(y-1/2)^2=1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y);H: Circle;PointOnCurve(Center(H),G) = True;I: Line;Expression(I) = (2*x + 2*y + 3 = 0);IsTangent(I,H) = True;WhenMin(Area(H))",
+      "coords": {}
+    },
+    {
+      "index": 3645,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3646,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3646.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;O: Origin;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B), G);LineSegmentOf(A, B) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3647,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3647.png",
+      "answer": "4",
+      "fact_expr": "C:Hyperbola;a:Number;b:Number;a>0;b>0;F:Point;Expression(C)=(x^2/a^2-y^2/b^2=1);OneOf(Focus(C))=F;Coordinate(F)=(5,0);Slope(OneOf(Asymptote(C)))=3/4",
+      "coords": {
+        "F": [
+          5.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3648,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3648.png",
+      "answer": "(y-x^2)*(1+4*x^2)=1",
+      "fact_expr": "A: Point;B: Point;l: Line;G: Parabola;M: Point;Expression(G) = (y = x^2);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 2;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3649,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3650,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3650.png",
+      "answer": "sqrt(17)/2",
+      "fact_expr": "G: Parabola;H: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(H) = (0, 2);PointOnCurve(P, G)",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3651,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3651.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/25 + y^2/16 = 1);Vertex(G) = Center(H);G: Parabola;RightFocus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3652,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3653,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3654,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3654.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Ellipse;F1: Point;P: Point;Q: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);Intersection(l, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 3655,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3655.png",
+      "answer": "{0, 1}",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 2);k: Number;G: Parabola;Expression(G) = (y^2 = 8*x);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 3656,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3656.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x + 2 = 0);PointOnCurve(P, G);Distance(P, H) = 5;Focus(G)=F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 3657,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3658,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3658.png",
+      "answer": "(a-p)/2",
+      "fact_expr": "A: Point;B: Point;Length(LineSegmentOf(A, B)) = a;a: Number;Endpoint(LineSegmentOf(A, B)) = {A, B};G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;a>2*p;PointOnCurve(A,G) = True;PointOnCurve(B,G) = True;MidPoint(LineSegmentOf(A,B)) = M;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 3659,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3659.png",
+      "answer": "(0,12)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/k = 1);k: Number;e: Number;In(e, (1, 2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3660,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3660.png",
+      "answer": "x^2/5+y^2=1\n2*sqrt(5)/5",
+      "fact_expr": "H: Line;Expression(H) = (x - 2*y + 2 = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(OneOf(Vertex(G)), H);PointOnCurve(OneOf(Focus(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 3661,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.9161535892818333,
+        "b": 0.8358714748346172,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 1.4021570127665244e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/train/ellipse/problem_3661.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "G: Ellipse;H: Point;I: Point;Coordinate(H) = (2, 0);Coordinate(I) = (0, 1);PointOnCurve(H,G);PointOnCurve(I,G)",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ],
+        "I": [
+          0.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 3662,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3662.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;F1: Point;F2: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,RightDirectrix(G));YCoordinate(P)=sqrt(3)*c;c:Number;HalfFocalLength(G)=c;LineSegmentOf(F1, F2) = LineSegmentOf(F2, P)",
+      "coords": {}
+    },
+    {
+      "index": 3663,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3663.png",
+      "answer": "x^2/4 - y^2/2 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;O: Origin;F: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(P,L);Expression(L)=(x+sqrt(2)*y=0);Abs(LineSegmentOf(O,F))=Abs(LineSegmentOf(P,F));Area(TriangleOf(P, O, F)) = 2*sqrt(2);L:Line;OneOf(Asymptote(C))=L",
+      "coords": {}
+    },
+    {
+      "index": 3664,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3664.png",
+      "answer": "[2*sqrt(3)-1,2*sqrt(3)+1]",
+      "fact_expr": "C1: Circle;C2: Circle;B: Point;A: Point;M: Point;Expression(C1) = (x^2 + y^2 = 9);Expression(C2) = (x^2 + y^2 = 4);Coordinate(M) = (1, 0);PointOnCurve(A, C2);PointOnCurve(B, C1);AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3665,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_3665.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = sqrt(6)/2",
+      "coords": {}
+    },
+    {
+      "index": 3666,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3666.png",
+      "answer": "(1, \\sqrt{2}+1)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;c:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) = F1;RightFocus(G)=F2;PointOnCurve(P,G);Sin(AngleOf(P,F1,F2))/Sin(AngleOf(P,F2,F1))=a/c",
+      "coords": {}
+    },
+    {
+      "index": 3667,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3667.png",
+      "answer": "y = 1",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4);l:Line;PointOnCurve(Focus(G),l);IsPerpendicular(l,SymmetryAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 3668,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3669,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3669.png",
+      "answer": "(p, +\\infty)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;Negation(A=B);PointOnCurve(A, G);PointOnCurve(B, G);P: Point;x0: Number;Coordinate(P) = (x0, 0);Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 3670,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3671,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3671.png",
+      "answer": "sqrt(29)",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (5/2, 5);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.5,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 3672,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3672.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;O: Origin;F: Point;C: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A,B),G);Intersection(Directrix(G), xAxis) = C;AngleOf(O, F, A) = 2*pi/3",
+      "coords": {}
+    },
+    {
+      "index": 3673,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3673.png",
+      "answer": "11",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/9 - y^2 = 1);F1: Point;F2: Point;F1 = LeftFocus(C);F2 = RightFocus(C);A: Point;PointOnCurve(A, LeftPart(C));Abs(LineSegmentOf(A, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3674,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3674.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(120, degree);Area(TriangleOf(F1, P, F2)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3675,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3675.png",
+      "answer": "3*sqrt(2)/2",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;C: Point;Expression(G) = (x^2/3 + y^2/2 = 1);LeftFocus(G) = A;UpperVertex(G)=B;PointOnCurve(C, G)",
+      "coords": {}
+    },
+    {
+      "index": 3676,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3676.png",
+      "answer": "(pm*3,0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3677,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3677.png",
+      "answer": "(3,2)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x - 1)",
+      "coords": {}
+    },
+    {
+      "index": 3678,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3679,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3679.png",
+      "answer": "pm*(4/3)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;M: Point;F: Point;N: Point;k:Number;Expression(C) = (y^2 = 8*x);Coordinate(A) = (-1, 0);Focus(C) = F;PointOnCurve(A, l);Slope(l) = k;Intersection(l, C) = {M, N};Area(TriangleOf(A,M,F))=2*Area(TriangleOf(A,N,F))",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3680,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3680.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (x^2 = y);PointOnCurve(A, G);Distance(A, Directrix(G)) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 3681,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3681.png",
+      "answer": "y=x+1",
+      "fact_expr": "l: Line;G: Ellipse;B: Point;A: Point;Expression(G) = (x^2/4 + y^2 = 1);Intersection(l, G) = {A, B};Coordinate(MidPoint(LineSegmentOf(A,B)))=(-4/5,1/5)",
+      "coords": {}
+    },
+    {
+      "index": 3682,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3683,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3683.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};WhenMax(AngleOf(F1,P,F2));Tan(AngleOf(P, F1, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 3684,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3684.png",
+      "answer": "{y=2*x,y=-2*x}",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;F: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Center(G)=F;Radius(G)=LineSegmentOf(O,F);Intersection(G, xAxis) = {O, A};Intersection(G,OneOf(Asymptote(C)))={O,B};LineSegmentOf(A,B)=4*a",
+      "coords": {}
+    },
+    {
+      "index": 3685,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3685.png",
+      "answer": "y=(pm*1/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3686,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3686.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;l: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(l) = (4*x - 3*y + 11 = 0);PointOnCurve(P, G);Distance(P, Directrix(G)) = d1;Distance(P,l)=d2;d1:Number;d2:Number",
+      "coords": {}
+    },
+    {
+      "index": 3687,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3688,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3688.png",
+      "answer": "x + pm*y = 0",
+      "fact_expr": "l: Line;C: Hyperbola;P: Point;A: Point;Q: Point;Expression(C) = (x^2 - y^2 = 1);RightVertex(C) = A;PointOnCurve(A, l);l1: Line;l2: Line;Asymptote(C) = {l1, l2};Intersection(l, l1) = P;Intersection(l, l2) = Q;VectorOf(P, A) = 2*VectorOf(A, Q)",
+      "coords": {}
+    },
+    {
+      "index": 3689,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3689.png",
+      "answer": "y^2/5 - x^2/4 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;A: Point;Expression(H) = (x^2/16 + y^2/9 = 1);Coordinate(A) = (4, -5);PointOnCurve(A, G);Focus(G)=Endpoint(MinorAxis(H))",
+      "coords": {
+        "A": [
+          4.0,
+          -5.0
+        ]
+      }
+    },
+    {
+      "index": 3690,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3690.png",
+      "answer": "sqrt(2) - 1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;c: Number;HalfFocalLength(G) = c;H: Line;Expression(H) = (y = 2*x);XCoordinate(OneOf(Intersection(H, G))) = c",
+      "coords": {}
+    },
+    {
+      "index": 3691,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3691.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;b: Number;H: Circle;I: Line;F1: Point;F2: Point;3 > b;b > 0;Expression(G) = (x^2/9 + y^2/b^2 = 1);Expression(I) = (x + y + 2 = 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1,H);PointOnCurve(F2,H);IsTangent(I,H)",
+      "coords": {}
+    },
+    {
+      "index": 3692,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.4970548748970032,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00010081290383823216,
+        "converged": true,
+        "iterations": 80
+      },
+      "output_path": "results/train/parabola/problem_3692.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;A: Point;Coordinate(A) = (1, sqrt(2));PointOnCurve(A, G);B: Point;C: Point;PointOnCurve(Vertex(TriangleOf(A, B, C)), G);k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(C, A))) = k3",
+      "coords": {
+        "A": [
+          1.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 3693,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3694,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3694.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(P, F1, F2)) = 9;a + b = 7",
+      "coords": {}
+    },
+    {
+      "index": 3695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3695.png",
+      "answer": "x^2/8 - y^2/8 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;M: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x - 2*y = 0);Coordinate(M) = (-a, 2*b);FocalLength(C) = 8;Intersection(G, C) = {A, B};Abs(LineSegmentOf(M, A)) = Abs(LineSegmentOf(M, B))",
+      "coords": {}
+    },
+    {
+      "index": 3696,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3696.png",
+      "answer": "[sqrt(3)/3, sqrt(2)/2]",
+      "fact_expr": "F1: Point;F2: Point;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G) = {F1, F2};c: Number;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = c^2",
+      "coords": {}
+    },
+    {
+      "index": 3697,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3697.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;Coordinate(F) = (-2, 0);LeftFocus(E) = F;l: Line;A: Point;Coordinate(A) = (2*a, 0);PointOnCurve(A, l);B: Point;C: Point;L1: Line;L2: Line;Asymptote(E) = {L1, L2};Intersection(l, L1) = B;Intersection(l, L2) = C ;VectorOf(A, B) = VectorOf(B, C);IsPerpendicular(LineSegmentOf(C, F), l)",
+      "coords": {
+        "F": [
+          -2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3698,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3699,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3699.png",
+      "answer": "4/5",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Area(TriangleOf(P, F1, F2)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 3700,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3700.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (2*x - y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 3701,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.9959803819656372,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.6780886603082763e-07,
+        "converged": true,
+        "iterations": 56
+      },
+      "output_path": "results/train/parabola/problem_3701.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;A: Point;Coordinate(A) = (1/4, 1);PointOnCurve(A, G) = True",
+      "coords": {
+        "A": [
+          0.25,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3702,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3702.png",
+      "answer": "4+sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (3, 1)",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3703,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/train/hyperbola/problem_3703.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = 3;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);IsParallel(H, OneOf(Asymptote(G)));A: Point;Intersection(H, G) = A;r: Number;Radius(InscribedCircle(TriangleOf(A, F1, F2))) = r",
+      "coords": {}
+    },
+    {
+      "index": 3704,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3704.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0",
+      "coords": {}
+    },
+    {
+      "index": 3705,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3705.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (-2*sqrt(3), 0);Eccentricity(C) = 2",
+      "coords": {
+        "G": [
+          -3.4641016151377544,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3706,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3707,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3707.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Slope(OneOf(Asymptote(G))) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 3708,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3708.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "P: Point;C: Ellipse;Expression(C) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, C);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3709,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3709.png",
+      "answer": "14",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/100 + y^2/36 = 1);P: Point;PointOnCurve(P, G) = True;F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1 = F2);Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3710,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3710.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x + sqrt(3)*y = 0);IsPerpendicular(OneOf(Asymptote(C)), G)",
+      "coords": {}
+    },
+    {
+      "index": 3711,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3711.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;Expression(G) = (x^2/3 - 16*y^2/p^2 = 1);Expression(H) = (y^2 = 2*(p*x));PointOnCurve(LeftFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 3712,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3712.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(F, G);XCoordinate(F)=3;Distance(F, Focus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3713,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3713.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/b^2 = 1);b: Number;b>0;Inclination(OneOf(Asymptote(G))) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 3714,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3714.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);A: Point;B: Point;P: Point;Coordinate(P) = (1, 1);PointOnCurve(P,l);Intersection(l,G)={A,B};MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3715,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3715.png",
+      "answer": "16/5",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;F1: Point;Expression(G) = (x^2 + 4*y^2 = 16);PointOnCurve(F1,l);Intersection(l,G)={A,B};LeftFocus(G) = F1;Slope(l) = 1;IsChordOf(LineSegmentOf(A, B),G)",
+      "coords": {}
+    },
+    {
+      "index": 3716,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3716.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;M: Point;PointOnCurve(M, C);H: Point;IsPerpendicular(LineSegmentOf(M, H), l);FootPoint(LineSegmentOf(M, H), l) = H;Abs(LineSegmentOf(M, H)) = 4;AngleOf(H, F, M) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3717,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3717.png",
+      "answer": "1/3",
+      "fact_expr": "G: Hyperbola;n: Real;m: Real;H: Parabola;Expression(G) = (y^2/n + x^2/m = 1);Expression(H) = (y^2 = 4*x);Eccentricity(G)=2;RightFocus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3718,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3719,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3720,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3720.png",
+      "answer": "(-6, \\pm 6\\sqrt{2})",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -12*x);P:Point;Distance(P,Focus(G))=9;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 3721,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3721.png",
+      "answer": "2*x-y-15=0",
+      "fact_expr": "A: Point;B: Point;G: Hyperbola;H: Line;Expression(G) = (x^2 - 4*y^2 = 4);Intersection(H, G) = {A,B};Coordinate(MidPoint(LineSegmentOf(A,B))) =(8,1)",
+      "coords": {}
+    },
+    {
+      "index": 3722,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3722.png",
+      "answer": "65/16",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y = 4*x^2);Directrix(G) = l;A: Point;Coordinate(A) = (1, 4)",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3723,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3723.png",
+      "answer": "(pm*4, 0)\nsqrt(3)*x+pm*y=0",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = 2;Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3724,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3724.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;Expression(G) = (-y^2/2 + x^2/a = 1);Expression(H) = (x^2/4 + y^2/a^2 = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3725,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_3725.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);Eccentricity(G)=1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 3726,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3726.png",
+      "answer": "sqrt(21)/7",
+      "fact_expr": "C: Ellipse;G: Line;A: Point;F1: Point;B: Point;F2: Point;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F1)) = 4*Abs(LineSegmentOf(B, F1));AngleOf(A, F2, F1) = ApplyUnit(90, degree);b:Number;a:Number",
+      "coords": {}
+    },
+    {
+      "index": 3727,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3727.png",
+      "answer": "x^2/2+y^2=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (2*x^2 + y^2 = 4);D: Point;P: Point;M: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,D),xAxis);FootPoint(LineSegmentOf(P,D),xAxis)=D;MidPoint(LineSegmentOf(P,D))=M;PointOnCurve(P,LineSegmentOf(P,D))",
+      "coords": {}
+    },
+    {
+      "index": 3728,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3729,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3729.png",
+      "answer": "4/9",
+      "fact_expr": "l: Line;G: Hyperbola;M: Point;O: Origin;A: Point;B: Point;k1: Number;k2: Number;Expression(G) = (x^2/9 - y^2/4 = 1);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;Slope(l) = k1;Negation(k1 = 0);Slope(LineOf(O, M)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 3730,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3730.png",
+      "answer": "{-14,2}",
+      "fact_expr": "G: Parabola;a: Real;H: Circle;Expression(G) = (y^2 = 2*(a*x));Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 3731,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3731.png",
+      "answer": "(\\sqrt{5}+1)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;O: Origin;M: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(LeftFocus(G), H);IsPerpendicular(H,xAxis);Intersection(H, G) = {M, N};Center(G) = O;DotProduct(VectorOf(O, M), VectorOf(O, N)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3732,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3732.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "Gamma: Parabola;Expression(Gamma) = (y^2 = 4*x);A: Point;B: Point;PointOnCurve(A, Gamma);PointOnCurve(B, Gamma);M: Point;PointOnCurve(M, Directrix(Gamma));PointOnCurve(MidPoint(LineSegmentOf(M, A)), Gamma);PointOnCurve(MidPoint(LineSegmentOf(M, B)), Gamma);N: Point;n: Number;Coordinate(N) = (0, n);Intersection(LineOf(A, B), yAxis) = N",
+      "coords": {}
+    },
+    {
+      "index": 3733,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3734,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3734.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;OneOf(Focus(C)) = F1;A1: Point;A2: Point;Vertex(C) = {A1,A2};M: Point;PointOnCurve(M, C);G: Circle;IsDiameter(LineSegmentOf(A1,A2),G);TangentPoint(LineSegmentOf(M, F1), G) = N;MidPoint(LineSegmentOf(M, F1)) = N;N:Point",
+      "coords": {}
+    },
+    {
+      "index": 3735,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3736,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3736.png",
+      "answer": "x^2/8+y^2/2=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;P: Point;A: Point;B: Point;a > b;b > 0;y0:Number;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = -x);Coordinate(P) = (2*sqrt(10)/5, y0);PointOnCurve(P,C);Eccentricity(C)=e;Intersection(G, C) = {B, A};Negation(A=P);Negation(B=P);Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B));e:Number;e=sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 3737,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3737.png",
+      "answer": "{y^2=4*x,y^2=36*x}",
+      "fact_expr": "G: Parabola;p: Number;H: Line;p>0;M:Point;Expression(G) = (y^2 = 2*p*x);Expression(H) = (x = -p/2);PointOnCurve(M,G);Distance(M,H)=10;Distance(M,SymmetryAxis(G))=6",
+      "coords": {}
+    },
+    {
+      "index": 3738,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3738.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;M: Point;F2: Point;F1: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G) = True;Intersection(G, LeftPart(C)) = {M, N};Abs(LineSegmentOf(M, F2)) = Abs(LineSegmentOf(F1, F2));2*Abs(LineSegmentOf(M, F1)) = Abs(LineSegmentOf(N, F1))",
+      "coords": {}
+    },
+    {
+      "index": 3739,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3739.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3740,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3740.png",
+      "answer": "[\\sqrt{14}/2,2)",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x - 3)^2 = 1);M: Point;T: Parabola;Expression(T) = (y^2 = 4*x);PointOnCurve(M, T);l1: Line;l2: Line;TangentPoint(l1, C) = A;TangentPoint(l2, C) = B;A: Point;B: Point;TangentOfPoint(M,C)={l1,l2}",
+      "coords": {}
+    },
+    {
+      "index": 3741,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3741.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Parabola;Expression(G) = (y^2 = 4*x);OneOf(Directrix(C)) = Directrix(G);WhenMin((a^4 + 4)/sqrt(a^2 + b^2))",
+      "coords": {}
+    },
+    {
+      "index": 3742,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3742.png",
+      "answer": "6",
+      "fact_expr": "A: Point;Coordinate(A) = (2, -3);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;Distance(A, Focus(G)) = 5",
+      "coords": {
+        "A": [
+          2.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 3743,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3743.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);H: Line;F: Point;Focus(G) = F;PointOnCurve(F, H);P1: Point;P2: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(P1) = (x1, y1);Coordinate(P2) = (x2, y2);Intersection(H, G) = {P1, P2};y1 + y2 = 6",
+      "coords": {}
+    },
+    {
+      "index": 3744,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3744.png",
+      "answer": "x^2/6 + y^2/2 = 1",
+      "fact_expr": "G: Ellipse;a: Number;H: Point;Expression(G) = (y^2/2 + x^2/a^2 = 1);Coordinate(H) = (2, 0);OneOf(Focus(G))=H",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3745,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3745.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;B: Point;F: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Expression(l)=(-p + 2*x + 2*y = 0);Intersection(l, C) = {A, B};Abs(LineSegmentOf(B, F)) = Abs(LineSegmentOf(A, F)) + 1",
+      "coords": {}
+    },
+    {
+      "index": 3746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3746.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;B: Point;L: Line;PointOnCurve(F2,L) = True;IsPerpendicular(L,xAxis) = True;Intersection(L,C) = {A,B};D: Point;Intersection(LineSegmentOf(F1,B),yAxis) = D;IsPerpendicular(LineSegmentOf(A,D),LineSegmentOf(F1,B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 3747,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3747.png",
+      "answer": "x=3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(A, G);PointOnCurve(B, G);Distance(MidPoint(LineSegmentOf(A,B)),Directrix(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 3748,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3748.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;O: Origin;B: Point;Expression(G) = (y^2 = 2*x);Intersection(l,G)={A,B};AngleOf(A, O, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3749,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3750,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3750.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3751,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3751.png",
+      "answer": "8/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 3*VectorOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 3752,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3752.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3753,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3753.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P:Point;PointOnCurve(P,G);A: Point;Coordinate(A) = (0, 1);l:Line;Expression(l) = (x = -1)",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3754,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3755,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.3333333333333333,
+        "major_axis": "y",
+        "x_coef": 0.1111111111111111,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3755.png",
+      "answer": "-9",
+      "fact_expr": "l: Line;C: Ellipse;O: Origin;M:Point;A: Point;B: Point;Expression(C) = (9*x^2 + y^2 = 1);Negation(PointOnCurve(O,l));Negation(IsParallel(l,axis));Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {}
+    },
+    {
+      "index": 3756,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3757,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3757.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;Expression(G) = (x^2 - y^2 = 2);Expression(H) = (y^2 = a*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3758,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3758.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;O: Origin;Center(G) = O;H: Ellipse;Expression(H) = (x^2/16 + y^2/12 = 1);Focus(G) = Focus(H);InterReciprocal(Eccentricity(G), Eccentricity(H))",
+      "coords": {}
+    },
+    {
+      "index": 3759,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3759.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/12 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);M: Point;N: Point;Intersection(H, LeftPart(G)) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 3760,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3761,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3761.png",
+      "answer": "9",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G)) = True;G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);M: Point;C1: Circle;Expression(C1) = (y^2 + (x + 5)^2 = 4);PointOnCurve(M,C1) = True;N: Point;C2: Circle;Expression(C2) = (y^2 + (x - 5)^2 = 1);PointOnCurve(N,C2) = True",
+      "coords": {}
+    },
+    {
+      "index": 3762,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3762.png",
+      "answer": "(x+3/2)^2+y^2=9",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (y^2 = -6*x);Focus(G) = Center(H);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 3763,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_3763.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = sqrt(2);H: Point;Coordinate(H) = (3, 1);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          3.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 3764,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3764.png",
+      "answer": "2/3",
+      "fact_expr": "C: Ellipse;l: Line;O: Origin;A: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);Expression(l) = (y = x - 1);PointOnCurve(RightFocus(C),l);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3765,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3765.png",
+      "answer": "4",
+      "fact_expr": "M: Point;Coordinate(M) = (2, 1);l: Line;G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);PointOnCurve(M, l);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3766,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3766.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/4 + x^2/a^2 = 1);a: Number;FocalLength(C) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3767,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3767.png",
+      "answer": "5",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Line;P: Point;B: Point;A: Point;E: Point;Q: Point;F: Point;M: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;RightVertex(C) = B ;LeftFocus(C) = F;PointOnCurve(F, G);IsPerpendicular(xAxis, G);Intersection(G, C) = {P, Q};Quadrant(P) = 2;Intersection(LineSegmentOf(P, B), yAxis) = E;Intersection(LineSegmentOf(A, E), LineSegmentOf(Q, F)) = M;VectorOf(F, M) = 2*VectorOf(M, Q)",
+      "coords": {}
+    },
+    {
+      "index": 3768,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3768.png",
+      "answer": "y=pm*x/2",
+      "fact_expr": "C: Curve;Expression(C) = (2/m + 1/n = 1);m: Number;n: Number;m > 0;n > 0;WhenMin(m*n);G: Hyperbola;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3769,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3769.png",
+      "answer": "pm*sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Line;k: Number;a > b;b > 0;Expression(H) = (y = k*x);Eccentricity(G) = sqrt(2)/2;XCoordinate(OneOf(Intersection(H,G)))=b",
+      "coords": {}
+    },
+    {
+      "index": 3770,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3770.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 6*x);F: Point;Focus(G) = F;A: Point;B: Point;C: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;PointOnCurve(C, G) = True;VectorOf(F, A) + VectorOf(F, B) = -VectorOf(F, C)",
+      "coords": {}
+    },
+    {
+      "index": 3771,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3772,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3772.png",
+      "answer": "{(x^2/8+y^2/2=1),(x^2/3-y^2/3=1)}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);Focus(G) = Focus(H);Q: Point;Coordinate(Q) = (2, 1);PointOnCurve(Q, H) = True;H: ConicSection",
+      "coords": {
+        "Q": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3773,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3773.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Origin;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);DotProduct((VectorOf(O, F1) - VectorOf(O, P)), (VectorOf(O, F1) + VectorOf(O, P))) = 0;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2));LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3774,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3774.png",
+      "answer": "9",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P, C);Area(TriangleOf(P, F1, F2)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3775,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3775.png",
+      "answer": "9*sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 3776,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3777,
+      "success": false,
+      "conic_type": "circle",
+      "error": "validation: circle_point_off_curve",
+      "params": {
+        "center": [
+          3.0,
+          0.0
+        ],
+        "radius": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3777.png",
+      "answer": "x^2/16+y^2/7=1",
+      "fact_expr": "M: Circle;A: Point;B:Circle;Coordinate(A) = (-3, 0);PointOnCurve(A, M);IsInTangent(M,B);Expression(B)=((x-3)^2+y^2=64);M1:Point;Center(M)=M1",
+      "coords": {
+        "A": [
+          -3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "circle_point_off_curve"
+      ]
+    },
+    {
+      "index": 3778,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3778.png",
+      "answer": "2*sqrt(2) - 2",
+      "fact_expr": "G: Parabola;O1: Circle;M: Point;N: Point;m: Number;Expression(G) = (y^2 = -4*x);PointOnCurve(N, G);Expression(O1) = ((x - 1)^2 + (y - 2)^2 = 1);PointOnCurve(M, O1);Distance(N, yAxis) = m",
+      "coords": {}
+    },
+    {
+      "index": 3779,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_3779.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 16*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 3780,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3780.png",
+      "answer": "6*sqrt(2)/7",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/4 + y^2/3 = 1);B: Point;RightVertex(E) = B;PointOnCurve(RightFocus(E), L) = True;Slope(L) = 1;L: Line;M: Point;N: Point;Intersection(L, E) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 3781,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -3.0,
+          3.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3781.png",
+      "answer": "4",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = 4);PointOnCurve(P, G);d1: Number;d2: Number;Distance(P, Directrix(G)) = d1;Distance(P, Q) = d2;H: Circle;Expression(H) = ((x + 3)^2 + (y - 3)^2 = 1);Q: Point;PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 3782,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3782.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Parabola;B: Point;A: Point;M: Point;Expression(G) = (x^2 = 4*y);Coordinate(M) = (2, 2);PointOnCurve(A, G);PointOnCurve(B, G);MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3783,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3783.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Number;a>0;P: Point;PointOnCurve(P, RightPart(G));F1: Point;LeftFocus(G)=F1;F2: Point;RightFocus(G)=F2;Expression(OneOf(Asymptote(G)))= (3*x - y = 0);Abs(LineSegmentOf(P, F2)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3784,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3785,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3785.png",
+      "answer": "[-2,1]",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3786,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3786.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;F: Point;M: Point;N: Point;Expression(G) = (y^2 = x);Expression(H) = (x = -1/4);Focus(G) = F;PointOnCurve(M, G);Intersection(OverlappingLine(LineSegmentOf(M, F)), H) = N",
+      "coords": {}
+    },
+    {
+      "index": 3787,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3787.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);IsPerpendicular(LineSegmentOf(P,F2),xAxis);Abs(LineSegmentOf(F1,F2)) = 12;Abs(LineSegmentOf(P,F2)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3788,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3788.png",
+      "answer": "{(x^2/10+y^2/8=1),(41*y^2/4+41*x^2/5=1)}",
+      "fact_expr": "C: Curve;Expression(C) = (x^2/5 + y^2/4 = 1);G: Ellipse;Eccentricity(C) = Eccentricity(G);H: Point;Coordinate(H) = (sqrt(5), 2);PointOnCurve(H, G) = True",
+      "coords": {
+        "H": [
+          2.23606797749979,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 3789,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3789.png",
+      "answer": "(-\\infty,-1)+(1,+\\infty)",
+      "fact_expr": "Gamma:Parabola;H: Line;A: Point;B: Point;t: Real;Expression(Gamma) = (x^2=2*y);Coordinate(A) = (0,-2);Coordinate(B) = (t, 0);PointOnCurve(A,H);PointOnCurve(B,H);NumIntersection(H,Gamma)=0",
+      "coords": {
+        "A": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 3790,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_3790.png",
+      "answer": "{sqrt(5),sqrt(5)/2}",
+      "fact_expr": "C: Hyperbola;O: Origin;Expression(Asymptote(C)) = (y = pm*2*x);PointOnCurve(Focus(C),axis);Center(C)=O",
+      "coords": {}
+    },
+    {
+      "index": 3791,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3791.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;D: Point;C: Point;L1:Line;L2:Line;H:LineSegment;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G)={A,B};PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(L1,yAxis);IsPerpendicular(L2,yAxis);FootPoint(L1,yAxis)=C;FootPoint(L2,yAxis)=D;IsChordOf(H,G);F:Point",
+      "coords": {}
+    },
+    {
+      "index": 3792,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3793,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3793.png",
+      "answer": "2*sqrt(5)-6",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, C1);F: Point;RightFocus(C1) = F;C2: Circle;Expression(C2) = (-8*y + 6*x + x^2 + y^2 + 21 = 0);Q: Point;PointOnCurve(Q, C2)",
+      "coords": {}
+    },
+    {
+      "index": 3794,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3794.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/4^2 + y^2/3^2 = 1);PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 3795,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3795.png",
+      "answer": "7, 23",
+      "fact_expr": "G: Hyperbola;H: Point;I: Point;A: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(H) = (5, 0);Coordinate(I) = (-5, 0);PointOnCurve(A, G);Distance(A, H) = 15",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ],
+        "I": [
+          -5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3796,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3797,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3798,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3798.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/4 - y^2/5 = 1);PointOnCurve(P,RightPart(G));Distance(P,RightFocus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 3799,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3799.png",
+      "answer": "(0,1/2)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;O: Origin;P: Point;Q: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = P;Intersection(OverlappingLine(LineSegmentOf(O,P)),C)=Q",
+      "coords": {}
+    },
+    {
+      "index": 3800,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3801,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3801.png",
+      "answer": "5/2",
+      "fact_expr": "l: Line;C: Parabola;F: Point;A: Point;B: Point;P:Point;Q:Point;Expression(C) = (x^2 = 2*y);Focus(C) = F;Intersection(l,C)={A,B};PointOnCurve(F, l);Intersection(TangentOnPoint(A, C),xAxis)=P;Intersection(TangentOnPoint(A, C),yAxis)=Q;Area(TriangleOf(P,O,Q))=1;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 3802,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3802.png",
+      "answer": "1/2",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;I: Point;Incenter(TriangleOf(P,F1,F2))=I;Area(TriangleOf(I, P, F1)) + Abs(TriangleOf(I, P, F2)) = 2*Area(TriangleOf(I, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3803,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3803.png",
+      "answer": "{y^2=2*x, y^2=10*x}",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x - 3)^2 = 4);G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;PointOnCurve(Focus(G), C)",
+      "coords": {}
+    },
+    {
+      "index": 3804,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3805,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3805.png",
+      "answer": "(2,4]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G)=F1;RightFocus(G)=F2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 3806,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3807,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_3807.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/3 + x^2/a = 1);a: Number;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 4*a*x);M: Point;Coordinate(M) = (2, y0);y0: Number;PointOnCurve(M, H);F: Point;Focus(H) = F",
+      "coords": {}
+    },
+    {
+      "index": 3808,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3809,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3810,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3810.png",
+      "answer": "{pi/3, 2*pi/3}",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 3*x);F: Point;Focus(C) = F;A: Point;PointOnCurve(A, C);Abs(LineSegmentOf(F, A)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3811,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3811.png",
+      "answer": "(0,1)",
+      "fact_expr": "G: Parabola;p: Number;H: Line;p>0;Expression(G) = (x^2 = 2*(p*y));Expression(H) = (y = -1);Directrix(G) = H",
+      "coords": {}
+    },
+    {
+      "index": 3812,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3812.png",
+      "answer": "15/16",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2);M: Point;PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 3813,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3813.png",
+      "answer": "24",
+      "fact_expr": "G: Hyperbola;M: Point;F2: Point;F1: Point;N: Point;Expression(G) = (x^2/4 - y^2/6 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M,RightPart(G));DotProduct(VectorOf(M,F1),VectorOf(M,F2))=0;OneOf(Intersection(LineOf(M,F2),G))=N",
+      "coords": {}
+    },
+    {
+      "index": 3814,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3814.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/9 = 1);OneOf(Focus(G))=F1;Distance(M,F1)=2;MidPoint(LineSegmentOf(M,F1))=N;PointOnCurve(M,G)",
+      "coords": {}
+    },
+    {
+      "index": 3815,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3815.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;Expression(OneOf(Asymptote(G))) = (y = (4/3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 3816,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3816.png",
+      "answer": "x^2/9+y^2/8=1",
+      "fact_expr": "C1: Circle;Expression(C1) = ((x+1)^2 + y^2 = 1);C2: Circle;Expression(C2) = ((x-1)^2 + y^2 = 25);M: Circle;IsOutTangent(M, C1) ;IsInTangent(M, C2);M1: Point;Center(M) = M1",
+      "coords": {}
+    },
+    {
+      "index": 3817,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3817.png",
+      "answer": "(1/2, 0)  \nx = -1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 3818,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3818.png",
+      "answer": "2*sqrt(10)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3819,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_3819.png",
+      "answer": "y=pm*3/4*x",
+      "fact_expr": "E: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(E) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 3820,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3820.png",
+      "answer": "-3/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);M: Point;N: Point;Endpoint(MajorAxis(G)) = {M, N};P: Point;Negation(P=M);Negation(P=N);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3821,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3822,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3822.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 3823,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3823.png",
+      "answer": "x^2/2+y^2=1",
+      "fact_expr": "C: Ellipse;O: Origin;Center(C) = O;PointOnCurve(Focus(C), xAxis);Eccentricity(C) = sqrt(2)/2;G: Parabola;Expression(G) = (x^2 = 4*y);OneOf(Vertex(C)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3824,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3824.png",
+      "answer": "y=-1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y)",
+      "coords": {}
+    },
+    {
+      "index": 3825,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3826,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3826.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;PointOnCurve(Focus(G), xAxis);H: Circle;Expression(H) = (x^2 + y^2 = 1);F: Point;Coordinate(F) = (1, 1/2);L1: Line;L2: Line;TangentOfPoint(F, H) = {L1, L2};A: Point;B: Point;TangentPoint(L1, H) = A;TangentPoint(L2, H) = B;PointOnCurve(RightFocus(G), LineOf(A, B));PointOnCurve(UpperVertex(G), LineOf(A, B))",
+      "coords": {
+        "F": [
+          1.0,
+          0.5
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3827,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3827.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;PointOnCurve(A, C);Distance(A, Focus(C)) = 12;Distance(A, yAxis) = 9",
+      "coords": {}
+    },
+    {
+      "index": 3828,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3828.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;B: Point;A: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;RightVertex(G)=A;OneOf(Endpoint(ImageinaryAxis(G)))=B;Distance(F,LineOf(A,B)) = b/2",
+      "coords": {}
+    },
+    {
+      "index": 3829,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3830.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;T: Ellipse;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Expression(T) = (x^2/4 + y^2/3 = 1);LeftVertex(E) = LeftFocus(T);RightVertex(E) = RightFocus(T);LeftVertex(T) = LeftFocus(E);RightVertex(T) = RightFocus(E)",
+      "coords": {}
+    },
+    {
+      "index": 3831,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3831.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 3832,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3832.png",
+      "answer": "x+2*y-8=0",
+      "fact_expr": "M: Point;Coordinate(M) = (4, 2);l: Line;G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 36);A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = M;InterceptChord(l, G) = LineSegmentOf(A, B)",
+      "coords": {
+        "M": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3833,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 3834,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3834.png",
+      "answer": "3/4",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2 - y^2 = 2);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3835,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3835.png",
+      "answer": "{2, 18}",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/16 - y^2/4 = 1);PointOnCurve(P, G);Distance(P, F1) = 10;F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1 = F2)",
+      "coords": {}
+    },
+    {
+      "index": 3836,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3836.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C1:Parabola;C2:Hyperbola;F: Point;A:Point;a:Number;b:Number;a>0;b>0;Expression(C1)=(y^2=4*x);Expression(C2)=(x^2/a^2-y^2/b^2=1);Focus(C1)=F;OneOf(Intersection(C1,OneOf(Asymptote(C2))))=A;IsPerpendicular(LineSegmentOf(A,F),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 3837,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3837.png",
+      "answer": "y=pm*sqrt(2)*(x-sqrt(2))",
+      "fact_expr": "l: Line;G: Ellipse;H: Circle;A: Point;B: Point;F1: Point;F2: Point;O: Origin;Expression(G) = (x^2/4 + y^2/2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2,l);Intersection(l, G) = {A,B};IsDiameter(LineSegmentOf(A, B),H);PointOnCurve(O, H)",
+      "coords": {}
+    },
+    {
+      "index": 3838,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3838.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;P: Point;F: Point;Q: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(E) = F;L1:Line;L2:Line;L:Line;OneOf(Asymptote(E))=L1;OneOf(Asymptote(E))=L2;Negation(L1=L2);PointOnCurve(F,L);IsPerpendicular(L1,L);FootPoint(L1,L)=P;Intersection(L2,L)=Q;5*VectorOf(P, F) = 3*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 3839,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3839.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;F: Point;A: Point;B: Point;D: Point;l: Line;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(A, C);Center(G)=F;Radius(G)=LineSegmentOf(F,A);Intersection(G,l)={B,D};AngleOf(B, F, D) = ApplyUnit(120, degree);Area(TriangleOf(A,B,D))=2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3840,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_3840.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Coordinate(H) = (-3*sqrt(2), 2);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          -4.242640687119286,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 3841,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3842,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3843,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3844,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3844.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G)=A;Endpoint(MinorAxis(G))=B;RightFocus(G)=F;IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 3845,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3846,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3846.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;A: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(A) = (2*sqrt(3), -3);Asymptote(G) = Asymptote(C);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          3.4641016151377544,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 3847,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3847.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, LeftPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;PerpendicularBisector(LineSegmentOf(P, F2)) = OneOf(Asymptote(G))",
+      "coords": {}
+    },
+    {
+      "index": 3848,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3848.png",
+      "answer": "2*sqrt(2)-sqrt(6)",
+      "fact_expr": "G: Ellipse;O: Origin;A: Point;B: Point;E: Point;P: Point;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1:Number;x2:Number;y1:Number;y2:Number;Coordinate(E) = (sqrt(6), 0);PointOnCurve(A, G);PointOnCurve(B, G);H:Line;C:Line;PointOnCurve(A,H);PointOnCurve(B,C);Slope(H)=x1/(4*y1);Slope(C)=x2/(4*y2);Intersection(H,C) = P;Slope(LineOf(O,A))*Slope(LineOf(O,B))=-1/4",
+      "coords": {
+        "E": [
+          2.449489742783178,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3849,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.8537487983703613,
+        "b": 1.6118527266061986,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.4665974334810584e-06,
+        "converged": true,
+        "iterations": 90
+      },
+      "output_path": "results/train/ellipse/problem_3849.png",
+      "answer": "2",
+      "fact_expr": "C1: Parabola;Expression(C1) = (y = a*x^2);a: Number;a>0;F: Point;Focus(C1) = F;C2: Ellipse;Expression(C2) = (y^2/4 + x^2/b^2 = 1);b: Number;b>0;OneOf(Focus(C2)) = F;M: Point;PointOnCurve(M, C1);P: Point;Coordinate(P) = (3/2, 1);PointOnCurve(P, C2)",
+      "coords": {
+        "P": [
+          1.5,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 3850,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3851,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3851.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "A: Point;Coordinate(A) = (0, b);b: Number;B: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;a > b;b > 0;Intersection(LeftDirectrix(G), xAxis) = B;MidPoint(LineSegmentOf(A, B)) = C;C: Point;PointOnCurve(C, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 3852,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3852.png",
+      "answer": "sqrt(10)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(G) = F;l: Line;PointOnCurve(F, l);IsPerpendicular(OneOf(Asymptote(G)), l);A: Point;B: Point;Intersection(l, LeftPart(G)) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B);Negation(A=B)",
+      "coords": {}
+    },
+    {
+      "index": 3853,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3854,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3855,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3856,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_3856.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;A: Point;O: Origin;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Eccentricity(G) = 2;L1: Line;L2: Line;Asymptote(G) = {L1, L2};Intersection(L1, Directrix(H)) = A;Intersection(L2, Directrix(H)) = B;Area(TriangleOf(A, O, B)) = sqrt(3)/4",
+      "coords": {}
+    },
+    {
+      "index": 3857,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3857.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (-1, 5);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -1.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 3858,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3858.png",
+      "answer": "2/3",
+      "fact_expr": "G: Parabola;H: Ellipse;a: Number;Expression(G) = (y^2 = 8*x);a>sqrt(5);Expression(H) = (y^2/5 + x^2/a^2 = 1);PointOnCurve(OneOf(Focus(H)), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 3859,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3859.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (x - y + 3*sqrt(5) = 0)",
+      "coords": {}
+    },
+    {
+      "index": 3860,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 3.1622776601683795,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3860.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/6 - y^2/10 = 1);Vertex(H) = Center(G);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3861,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3861.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F: Point;P: Point;l: Line;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;RightDirectrix(C) = l;PointOnCurve(P, l);PointOnCurve(MidPoint(LineSegmentOf(P,F)), C)",
+      "coords": {}
+    },
+    {
+      "index": 3862,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3863,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3864,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3864.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;O: Origin;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);DotProduct(VectorOf(P,F1),(VectorOf(O,F1)+VectorOf(O,P)))=0;Abs(LineSegmentOf(P,F1))=2*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 3865,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3866,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3866.png",
+      "answer": "{4, 1}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/2 + x^2/m = 1);Eccentricity(G) = sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 3867,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3867.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;b: Number;a: Number;P: Point;PointOnCurve(P,RightPart(G));Abs(LineSegmentOf(P,F1))=3*Abs(LineSegmentOf(P,F2));DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = a^2/2",
+      "coords": {}
+    },
+    {
+      "index": 3868,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3868.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightVertex(G) = A;UpperVertex(G) = B;LeftFocus(G) = F;AngleOf(A, B, F) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3869,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3869.png",
+      "answer": "1/2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;M: Point;k: Number;x0: Number;Expression(G) = (y^2 = 4*x);Coordinate(M) = (x0, 4);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;Slope(l) = k;Negation(A = B)",
+      "coords": {}
+    },
+    {
+      "index": 3870,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3870.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;H:Line;F1: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y =(b/(3*a))*x);Intersection(H,LeftPart(G))=P;LeftFocus(G) = F1;IsPerpendicular(LineSegmentOf(P,F1),xAxis);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 3871,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3871.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;L:Line;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 1 - x);Expression(L) = (x - 2*y = 0);Intersection(H, G) = {A, B};PointOnCurve(MidPoint(LineSegmentOf(A,B)), L)",
+      "coords": {}
+    },
+    {
+      "index": 3872,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3872.png",
+      "answer": "(1,0)\n7",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (6, 3);Focus(G)=F;PointOnCurve(P,G)",
+      "coords": {
+        "A": [
+          6.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 3873,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3873.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;A: Point;B: Point;C: Point;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3874,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3874.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;N: Point;F1: Point;M: Point;F2: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1,l);L1:Line;L2:Line;Asymptote(C)={L1,L2};IsPerpendicular(l,L1);Intersection(l,L1)=M;Intersection(l,L2)=N;Abs(LineSegmentOf(N, F1)) = 2*Abs(LineSegmentOf(M, F1))",
+      "coords": {}
+    },
+    {
+      "index": 3875,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3875.png",
+      "answer": "(1,1)",
+      "fact_expr": "C: Parabola;M: Point;F: Point;Expression(C) = (y^2 = x);Focus(C) = F;Quadrant(M)=1;PointOnCurve(M,C);Abs(LineSegmentOf(M, F)) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 3876,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3876.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "C: Parabola;p: Number;G: Point;y0: Number;Expression(C) = (y^2 = 2*(p*x));Coordinate(G) = (1, y0);PointOnCurve(G, C);Distance(G, Focus(C)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3877,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3877.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 3878,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3879,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3880,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3881,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3881.png",
+      "answer": "12*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/8);P: Point;M: Point;FootPoint(l, Directrix(G)) = M;F: Point;Abs(LineSegmentOf(P, M)) = 6;Focus(G) = F;l:Line;PointOnCurve(P,l);IsPerpendicular(l,Directrix(G));PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 3882,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -4.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_3882.png",
+      "answer": "(x^2/4-y^2/12=1)&(x>=2)",
+      "fact_expr": "M: Circle;C1: Circle;C2: Circle;M1: Point;Expression(C1)=((x+4)^2+y^2=4);Expression(C2)=((x-4)^2+y^2=4);IsOutTangent(M,C1);IsInTangent(M,C2);Center(M)=M1;Locus(M1)=C;C:Curve",
+      "coords": {}
+    },
+    {
+      "index": 3883,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3884,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3884.png",
+      "answer": "(0,15)",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (y^2/5 - x^2/m = 1);Eccentricity(G)=e;e:Number;In(e,(1,2))",
+      "coords": {}
+    },
+    {
+      "index": 3885,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3885.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/16 + y^2/4 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3886,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3886.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;m: Number;H: Ellipse;Expression(G) = (-y^2/5 + x^2/m = 1);Expression(H) = (x^2/25 + y^2/16 = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3887,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3887.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;p>0;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 3888,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3888.png",
+      "answer": "6\nx=-3",
+      "fact_expr": "C: Parabola;p: Real;G: Line;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (x + y - 3 = 0);PointOnCurve(Focus(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 3889,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.23606797749979,
+        "major_axis": "y",
+        "x_coef": 5.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3889.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/5 + y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 3890,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3890.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;x1: Number;y1: Number;Expression(G) = (x^2 = 2*y);Coordinate(Q) = (sqrt(2), 0);Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          1.4142135623730951,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3891,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3891.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y^2 + (x - 2)^2 = 3);NumIntersection(G,H)=2",
+      "coords": {}
+    },
+    {
+      "index": 3892,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3893,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3893.png",
+      "answer": "sqrt(22)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Circle;Expression(H) = (x^2 + y^2 = b^2);Intersection(H,G) = {A,C};A: Point;C: Point;Quadrant(A) = 2;Quadrant(C) = 4;RightFocus(G) = F;F: Point;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(C, F))",
+      "coords": {}
+    },
+    {
+      "index": 3894,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3895,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3895.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "E: Parabola;p: Number;G: Circle;Q: Point;P: Point;F: Point;p>0;Expression(E) = (y^2 = 2*(p*x));Focus(E) = F;Center(G)=F;Radius(G)=3*p;Intersection(G, E) = {P, Q};I:Point;Coordinate(I)=(0,-1);C:Circle;IsDiameter(LineSegmentOf(P,F),C);PointOnCurve(I,C)",
+      "coords": {
+        "I": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 3896,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3896.png",
+      "answer": "[\\pi/6, 5\\pi/6]",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);theta: Number;Inclination(H) = theta;O: Origin;PointOnCurve(O, H);Intersection(H, G) = {A, B};LeftFocus(G) = F;IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F));Eccentricity(G) = e;e: Number;In(e, [sqrt(2)/2, sqrt(6)/3])",
+      "coords": {}
+    },
+    {
+      "index": 3897,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.9876673221588135,
+        "b": 1.5893483050269506,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.171300880237459e-05,
+        "converged": true,
+        "iterations": 68
+      },
+      "output_path": "results/train/ellipse/problem_3897.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;b = 4;Eccentricity(G) = 3/5;H: Line;PointOnCurve(F1,H) = True;Intersection(H,G) = {A,B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 3898,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3898.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3899,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3899.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = pi/2",
+      "coords": {}
+    },
+    {
+      "index": 3900,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3900.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;P: Point;y0:Number;Coordinate(P) = (3/2, y0);Expression(G) = (y^2 = 2*x);PointOnCurve(P, G);Focus(G) = F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 3901,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3901.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Ellipse;Expression(H) = (x^2/((3*p)) + y^2/p = 1);Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 3902,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3902.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (x^2/4 + y^2/b^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1, l);Intersection(l, G) = {A, B};Max(LineSegmentOf(A, F2) + LineSegmentOf(B, F2)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 3903,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_3903.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Eccentricity(G) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 3904,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3904.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "l: Line;C: Ellipse;F1: Point;A: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) = F1;Expression(l) = (y = x - 1);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3905,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3905.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;LineSegmentOf(P, F1)*LineSegmentOf(P, F2) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3906,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3906.png",
+      "answer": "15*sqrt(7)/7",
+      "fact_expr": "P: Point;Q: Point;H: Circle;Expression(H) = (x^2 + (y + 1)^2 = 7);G: Ellipse;Expression(G) = (x^2/8 + y^2 = 1);PointOnCurve(P, H) = True;PointOnCurve(Q, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 3907,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3907.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3908,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3908.png",
+      "answer": "[-3*sqrt(10)/2,3*sqrt(10)/2]&Negation(b=0)",
+      "fact_expr": "G: Ellipse;b: Number;Expression(G) = (x^2/45 + y^2/b^2 = 1);PointOnCurve(Focus(G),xAxis);P:Point;PointOnCurve(P,G);F1:Point;F2:Point;IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2));Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 3909,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3909.png",
+      "answer": "9/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Number;a>1;A: Point;UpperVertex(G) = A;B: Point;LeftVertex(G) = B;P: Point;PointOnCurve(P, G);Max(Area(TriangleOf(P, A, B))) = 1 + sqrt(2);M: Point;Coordinate(M) = (-sqrt(3), 0);N: Point;Coordinate(N) = (sqrt(3), 0);Q: Point;PointOnCurve(Q, G)",
+      "coords": {
+        "M": [
+          -1.7320508075688772,
+          0.0
+        ],
+        "N": [
+          1.7320508075688772,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3910,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3911,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3911.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;L1: Line;L2: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;L:Line;OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2);PointOnCurve(F,L);IsPerpendicular(L,L1);FootPoint(L,L1)=A;Intersection(L,L2)=B;2*VectorOf(A, F) = VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 3912,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3912.png",
+      "answer": "11/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);B: Point;A: Point;Length(LineSegmentOf(A,B)) = 6;PointOnCurve(Endpoint(LineSegmentOf(A,B)), G);MidPoint(LineSegmentOf(A,B)) = M;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 3913,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3913.png",
+      "answer": "16",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l1: Line;l2: Line;PointOnCurve(F, l1);PointOnCurve(F, l2);IsPerpendicular(l1, l2);A: Point;B: Point;Intersection(l1, C) = {A, B};D: Point;E: Point;Intersection(l2, C) = {D, E}",
+      "coords": {}
+    },
+    {
+      "index": 3914,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3914.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "P: Point;M: Point;N: Point;G: Hyperbola;H: Parabola;a: Number;b: Number;I: Line;Z: Line;A: Point;F: Point;B: Point;O: Origin;a>0;b>0;k1: Number;k2: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = x);Focus(H) = F;PointOnCurve(F, I);Intersection(I, H) = {A, B};PointOnCurve(O, Z);Intersection(Z, G) = {M, N};PointOnCurve(P, G);Slope(LineOf(P, M)) = k1;Slope(LineOf(P, N)) = k2;(Abs(k1) + 4*Abs(k2))*(Abs(LineSegmentOf(A, F))*Abs(LineSegmentOf(B, F))) >= Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 3915,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3915.png",
+      "answer": "{sqrt(2),sqrt(17)}",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1,l);Intersection(l,G)=P;Sin(AngleOf(F1, P, F2)) = 4/5",
+      "coords": {}
+    },
+    {
+      "index": 3916,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_3916.png",
+      "answer": "16*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(sqrt(2)*x));K: Point;Coordinate(K) = (3, -2*sqrt(3));PointOnCurve(K, G);H: Line;F: Point;RightFocus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(60, degree);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {
+        "K": [
+          3.0,
+          -3.4641016151377544
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 3917,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3917.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;H: Parabola;M: Point;N: Point;F: Point;Expression(H) = (x^2 = 8*y);Coordinate(M) = (0, -2);Focus(H) = F;PointOnCurve(N, H);WhenMin(Abs(LineSegmentOf(N,F))/Abs(LineSegmentOf(N,M)));Focus(G)={M,F};PointOnCurve(N,G)",
+      "coords": {
+        "M": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 3918,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_3918.png",
+      "answer": "-1\n4",
+      "fact_expr": "m: Number;n: Number;Negation(m*n=0);H: Curve;Expression(H) = (x^2/m+y^2/n=1);G: Hyperbola;H=G;PointOnCurve(Focus(G), yAxis);Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 3919,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3919.png",
+      "answer": "40",
+      "fact_expr": "C: Hyperbola;P: Point;Q: Point;A: Point;F: Point;Expression(C) = (x^2/16 - y^2/9 = 1);Coordinate(A) = (5, 0);LeftFocus(C) = F;PointOnCurve(A, LineSegmentOf(P,Q));PointOnCurve(P,C);PointOnCurve(Q,C);Length(LineSegmentOf(P,Q))=2*Length(ImageinaryAxis(C))",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3920,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3920.png",
+      "answer": "(0, \\sqrt{3}/2)",
+      "fact_expr": "C: Ellipse;m: Number;l1: Line;l2: Line;A: Point;m>1;Expression(C) = (y^2 + x^2/m = 1);Coordinate(A) = (1, 2);PointOnCurve(A, l1);PointOnCurve(A, l2);IsPerpendicular(l1, l2);NumIntersection(l1,C)=0;Negation(IsIntersect(l2, C))",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3921,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3922,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3922.png",
+      "answer": "y = x",
+      "fact_expr": "A: Point;C: Point;G: Parabola;H: Line;B: Point;l: Line;Z: Line;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 4);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};PointOnCurve(B, Z);IsPerpendicular(Z, l);Directrix(G) = l;FootPoint(Z, l) = C",
+      "coords": {
+        "A": [
+          4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 3923,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3924,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3925,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3926,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3926.png",
+      "answer": "3/5",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;I: Point;P: Point;F1: Point;F2: Point;e: Number;s:Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P, C);Incenter(TriangleOf(P, F1, F2)) = I;Coordinate(I)=(s,1);Area(TriangleOf(P, F1, F2)) = 2*b;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 3927,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3927.png",
+      "answer": "8*sqrt(3)/9",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;A: Point;Coordinate(A) = (0, 2);Intersection(LineSegmentOf(F, A), G) = B;B: Point;VectorOf(F, B) = 2*VectorOf(B, A)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 3928,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_3928.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (-y^2/8 + x^2/m = 1);Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3929,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3930,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3930.png",
+      "answer": "(2,2)",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 3931,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3932,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3932.png",
+      "answer": "4 + 2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;B: Point;P: Point;F: Point;Expression(C) = (x^2/2 - y^2 = 1);RightFocus(C) = F;OneOf(Endpoint(ImageinaryAxis(C))) = B;PointOnCurve(P, LeftPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 3933,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3933.png",
+      "answer": "-2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;A: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = F ;RightFocus(G) = F;Quadrant(A) = 1;PointOnCurve(A, H);Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 3934,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3934.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(G) = F;A: Point;RightVertex(G) = A;B: Point;PointOnCurve(B, G);IsPerpendicular(LineSegmentOf(B, F), xAxis);P: Point;Intersection(LineOf(A, B), yAxis) = P;Abs(LineSegmentOf(A, P)) = 2*Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 3935,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3936,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3936.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/12 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Area(TriangleOf(P, F1, F2)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 3937,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3937.png",
+      "answer": "{42, 22}",
+      "fact_expr": "G: Parabola;p: Number;M: Point;P: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (20, 40);Focus(G) = F;PointOnCurve(P, G);Min(Abs(LineSegmentOf(P, F)) + Abs(LineSegmentOf(P, M))) = 41",
+      "coords": {
+        "M": [
+          20.0,
+          40.0
+        ]
+      }
+    },
+    {
+      "index": 3938,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3938.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;F2: Point;A: Point;B: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1,l);IsTangent(l,G);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(L1,l)=A;Intersection(L2,l)=B;DotProduct((VectorOf(F2, A) + VectorOf(F2, B)),VectorOf(A, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3939,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3940,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3940.png",
+      "answer": "y=pm*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C)) = True;Cos(AngleOf(F1, P, F2)) = 3/4;Abs(LineSegmentOf(P, F2)) = Length(ImageinaryAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 3941,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3941.png",
+      "answer": "6",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;O: Origin;MidPoint(LineSegmentOf(A, B)) = Z;Z: Point;Coordinate(Z) = (2, m);Coordinate(F) = (1, 0);Vertex(C) = O;Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A, B),C)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3942,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3942.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;a: Number;a>0;P:Point;Expression(G) = (y^2 = a*x);PointOnCurve(P,G);XCoordinate(P)=6;Distance(P, Focus(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 3943,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3943.png",
+      "answer": "-8; 2*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (2, 0);H: Line;PointOnCurve(P,H);A: Point;B: Point;Intersection(H, G) = {A, B};x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3944,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3944.png",
+      "answer": "-1/4",
+      "fact_expr": "G: Parabola;H:Line;m: Number;Expression(G) = (y = 2*x^2);Expression(H) = (m + x + 2*y = 0);PointOnCurve(Focus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 3945,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3945.png",
+      "answer": "(1, \\sqrt{5}]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;Coordinate(F) = (3*sqrt(5), 0);RightFocus(C) = F;N: Point;Coordinate(N) = (0, 2);M: Point;PointOnCurve(M, LeftPart(C));Negation(Perimeter(TriangleOf(M, N, F)) < 20)",
+      "coords": {
+        "F": [
+          6.708203932499369,
+          0.0
+        ],
+        "N": [
+          0.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3946,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3946.png",
+      "answer": "3/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);F: Point;OneOf(Focus(C))=F;P: Point;PointOnCurve(P, C);O: Origin;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 3947,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3947.png",
+      "answer": "[2,+oo)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F: Point;O: Origin;P: Point;Q: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = ((x + 2)^2 + (y - 4)^2 = 4);Coordinate(F) = (2, 0);PointOnCurve(P, G);RightFocus(C) = F;PointOnCurve(Q,Asymptote(C));VectorOf(O,P)+VectorOf(O,F)=2*VectorOf(O,Q)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3948,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3948.png",
+      "answer": "17/4",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F:Point;Coordinate(A) = (4, 1);Expression(G) = (y^2 = x);PointOnCurve(M, G);Focus(G)=F",
+      "coords": {
+        "A": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 3949,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3950,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3950.png",
+      "answer": "14",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/64 + y^2/16 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3951,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3952,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3953,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3954,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3955,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3955.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(P, RightPart(G)) = True;Negation(Vertex(G) = P);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;Incenter(TriangleOf(P, F1, F2)) = M;Area(TriangleOf(M, P, F1)) - Area(TriangleOf(M, P, F2)) = sqrt(2)*Area(TriangleOf(M, F1, F2))/2",
+      "coords": {}
+    },
+    {
+      "index": 3956,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3957,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3957.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;F1: Point;B: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;FocalLength(C) = 2;PointOnCurve(F2, l);Intersection(l, C) = {A, B};Perimeter(TriangleOf(A, F1, B)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3958,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3958.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Distance(F2,LineOf(P,F1)) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 3959,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3959.png",
+      "answer": "2*sqrt(6)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;A: Point;F: Point;l1: Line;l2: Line;e: Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Asymptote(C) = {l1, l2};RightFocus(C) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, l1);FootPoint(L, l1) = A;Intersection(L, l2) = B;VectorOf(B, A) = 3*VectorOf(A, F);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 3960,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3961,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3962,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3963,
+      "success": false,
+      "error": "\nk\\ge 0\n ^\nParseFatalException: Unknown symbol: \\ge, found '\\'  (at char 1), (line:1, col:2)"
+    },
+    {
+      "index": 3964,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3964.png",
+      "answer": "12*sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3965,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3965.png",
+      "answer": "5/8",
+      "fact_expr": "l: Line;G: Parabola;A: Point;O: Origin;B: Point;F: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 3966,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_3966.png",
+      "answer": "y=pm*(sqrt(3)/2)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Parabola;H: Circle;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 = -16*x);Expression(H) = (y^2 - 2*a*x + x^2 = 0);Coordinate(P) = (4, 3);IsTangent(Directrix(G),H);PointOnCurve(P, C)",
+      "coords": {
+        "P": [
+          4.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 3967,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3967.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;A: Point;B: Point;F: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0, b/2);RightFocus(G)=F;PointOnCurve(A,H);IsPerpendicular(H,yAxis);Intersection(H,G)={B,C};AngleOf(B, F, C) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 3968,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3969,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3969.png",
+      "answer": "2*x+pm*sqrt(2)*y-1=0",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B))=M;L:Line;PointOnCurve(M,L);IsPerpendicular(L,yAxis);Intersection(L,G)=P;Abs(LineSegmentOf(P, F)) = 3/2;M:Point",
+      "coords": {}
+    },
+    {
+      "index": 3970,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3971,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3971.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;a>0;F:Point;Focus(G)=F;l: Line;PointOnCurve(F, l);Slope(l)=2;A:Point;Intersection(l,yAxis)=A;O: Origin;Area(TriangleOf(O, A, F))=4",
+      "coords": {}
+    },
+    {
+      "index": 3972,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3973,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3973.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;I: Line;A: Point;B: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, I);Intersection(I, G) = {A, B};Area(InscribedCircle(TriangleOf(A,B,F2)))=pi;x1:Number;x2:Number;y1:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 3974,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3975,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3975.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);H: Line;Expression(H) = (-x + y + 1 = 0);A: Point;B: Point;Intersection(G, H) = {A, B};IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 3976,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3976.png",
+      "answer": "(-12, 0)",
+      "fact_expr": "G: Hyperbola;k: Number;Expression(G) = (x^2/4 + y^2/k = 1);e: Number;Eccentricity(G) = e ;In(e, (1, 2))",
+      "coords": {}
+    },
+    {
+      "index": 3977,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3977.png",
+      "answer": "2",
+      "fact_expr": "A: Point;F: Point;G: Parabola;O: Origin;M: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);AngleOf(O, F, A) = ApplyUnit(120, degree);MidPoint(LineSegmentOf(A, F)) = M",
+      "coords": {}
+    },
+    {
+      "index": 3978,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3978.png",
+      "answer": "x^2/4 - y^2/4 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = a^2);a: Number;G: Parabola;Expression(G) = (y^2 = 16*x);A: Point;B: Point;O: Origin;Center(C) = O;PointOnCurve(Focus(C), xAxis);Intersection(C, Directrix(G)) = {A,B};Abs(LineSegmentOf(A, B)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 3979,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3979.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;H: Point;Coordinate(H) = (4, 0);L: Line;PointOnCurve(H, L) = True;Intersection(L, E) = {A, B};A: Point;B: Point;Coordinate(MidPoint(LineSegmentOf(A,B))) = (2,-1)",
+      "coords": {
+        "H": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3980,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3980.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;H: Circle;Z: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (y^2 + (x + 5)^2 = 4);Expression(Z) = (y^2 + (x - 5)^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, Z)",
+      "coords": {}
+    },
+    {
+      "index": 3981,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3981.png",
+      "answer": "ApplyUnit(90, degree)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 32",
+      "coords": {}
+    },
+    {
+      "index": 3982,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3982.png",
+      "answer": "y^2=x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G) = True;F: Point;Focus(G) = F;PointOnCurve(F, LineSegmentOf(A, B)) = True;Abs(LineSegmentOf(A, F)) = 1;Abs(LineSegmentOf(B, F)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 3983,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3983.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y = x^2/8);F: Point;Focus(C) = F;M: Point;l: Line;Directrix(C) = l;PointOnCurve(M, l);Intersection(LineSegmentOf(M,F), C) = N;N: Point;VectorOf(M,N) = (2/3)*VectorOf(M,F);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 3984,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3984.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);YCoordinate(MidPoint(LineSegmentOf(A, B))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 3985,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3985.png",
+      "answer": "[1, sqrt(3)]",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (-1, 0);Coordinate(B) = (1, 0);PointOnCurve(P, G);m: Number;Abs(LineSegmentOf(P, A)) = m*Abs(LineSegmentOf(P, B))",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ],
+        "B": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 3986,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3986.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/4 + x^2/a^2 = 1);a: Number;Expression(OneOf(Asymptote(G))) = (y = x*(sqrt(3)/3))",
+      "coords": {}
+    },
+    {
+      "index": 3987,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3987.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (3, sqrt(10)/2);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 4",
+      "coords": {
+        "P": [
+          3.0,
+          1.5811388300841898
+        ]
+      }
+    },
+    {
+      "index": 3988,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3988.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Ellipse;a: Number;b: Number;Expression(C) = (x^2/25+y^2/16 = 1);Expression(l) = (a*x + b*y - 4*a + 2*b = 0)",
+      "coords": {}
+    },
+    {
+      "index": 3989,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3990,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3990.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;H: Curve;a: Number;Expression(G) = (y^2 = 16*x);Expression(H) = (-y^2/7 + x^2/a^2 = 1);e:Number;Eccentricity(H)=e;RightFocus(H)=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 3991,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3991.png",
+      "answer": "y^2/18 - x^2/27 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;A: Point;Expression(G) = (x^2/3 - y^2/2 = 1);Coordinate(A) = (sqrt(3), 2*sqrt(5));Asymptote(C) = Asymptote(G);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          1.7320508075688772,
+          4.47213595499958
+        ]
+      }
+    },
+    {
+      "index": 3992,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_3992.png",
+      "answer": "(\\sqrt{3} - 1)/2",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;l: Line;PointOnCurve(F1, l);Intersection(l, C) = {A, B};A: Point;B: Point;Intersection(l, yAxis) = P;P: Point;VectorOf(F1, P) = VectorOf(A, F1);DotProduct(VectorOf(F2, A), VectorOf(F2, P)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 3993,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3993.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;Coordinate(F) = (5, 0);RightFocus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;Coordinate(M) = (-45/7, -80/7);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "F": [
+          5.0,
+          0.0
+        ],
+        "M": [
+          -6.428571428571429,
+          -11.428571428571429
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 3994,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3994.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*(p*y));p: Number;p>0;F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C);Distance(M, F) = 13;Distance(M, xAxis) = 9",
+      "coords": {}
+    },
+    {
+      "index": 3995,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_3995.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;y1: Number;Coordinate(A) = (p/4, y1);PointOnCurve(A, C);Distance(A, Focus(C)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 3996,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 3997,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_3997.png",
+      "answer": "{4,9/4}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/3 + y^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 3998,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_3998.png",
+      "answer": "pi/2",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Q: Point;F: Point;Expression(G) = (y = -x^2/4);Coordinate(P) = (-4,-4);Focus(G) = F;Intersection(l,xAxis)=Q;TangentPoint(l,G)=P",
+      "coords": {
+        "P": [
+          -4.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 3999,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_3999.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4000,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4000.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};O: Origin;Area(TriangleOf(A, O, F)) = 3*Area(TriangleOf(B, O ,F))",
+      "coords": {}
+    },
+    {
+      "index": 4001,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4001.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Hyperbola;H: Circle;l:Line;m: Number;B: Point;A: Point;Expression(G) = (x^2 - y^2/2 = 1);Expression(H) = (x^2 + y^2 = 5);Expression(l)=(x-y+m=0);Intersection(l,G)={A,B};Negation(A=B);PointOnCurve(MidPoint(LineSegmentOf(A,B)),H)",
+      "coords": {}
+    },
+    {
+      "index": 4002,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4002.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4003,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4003.png",
+      "answer": "3/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);Abs(LineSegmentOf(A, B)) = 2;M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 4004,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4004.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Tan(AngleOf(P, F1, F2)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 4005,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4005.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;M:Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-1, 0);OneOf(Focus(E))=F;PointOnCurve(F,LineSegmentOf(A,B));MidPoint(LineSegmentOf(A,B))=M;Coordinate(M)=(-2/3,1/3);IsChordOf(LineSegmentOf(A,B),E)",
+      "coords": {
+        "F": [
+          -1.0,
+          0.0
+        ],
+        "M": [
+          -0.6666666666666666,
+          0.3333333333333333
+        ]
+      }
+    },
+    {
+      "index": 4006,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4006.png",
+      "answer": "sqrt(2)*3/4",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (0, 2);Focus(G) = F;MidPoint(LineSegmentOf(F, A)) = B;PointOnCurve(B, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4007,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4008,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4008.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "A: Point;a: Real;Coordinate(A) = (a, 0);G: Curve;Expression(G) = (y^2 = 2*x);P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 4009,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4009.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 4010,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4010.png",
+      "answer": "14+8*sqrt(2)",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;F1:Point;F2: Point;Expression(G) = (x^2 - y^2 = 8);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F1,LineSegmentOf(P,Q));IsChordOf(LineSegmentOf(P,Q),G);Intersection(LineSegmentOf(P,Q),LeftPart(G))={P,Q};Abs(LineSegmentOf(P,Q))=7",
+      "coords": {}
+    },
+    {
+      "index": 4011,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4012,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4012.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;H: Circle;C:Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (10*x + x^2 + y^2 + 21 = 0);Expression(C)=(x^2+y^2-10*x+24=0);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N,C)",
+      "coords": {}
+    },
+    {
+      "index": 4013,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4013.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "F: Point;A: Point;G: Parabola;p: Number;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (0, 2);Focus(G) = F;MidPoint(LineSegmentOf(F, A)) = B;PointOnCurve(B, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4014,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4014.png",
+      "answer": "2+4*sqrt(5)/5",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G)) = True;G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);H: Line;Expression(H) = (y = 2*x);F: Point;Coordinate(F) = (-2, 0)",
+      "coords": {
+        "F": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4015,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_4015.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "D: Hyperbola;Expression(D) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(D)) = (y = pm*sqrt(3)*x);F1: Point;F2: Point;LeftFocus(D) = F1;RightFocus(D) = F2;P: Point;PointOnCurve(P, RightPart(D))",
+      "coords": {}
+    },
+    {
+      "index": 4016,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4017,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4017.png",
+      "answer": "x^2/9 - y^2/27 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;D: Point;PointOnCurve(D, C) = True;P1: Point;P2: Point;Focus(C) = {P1, P2};Abs(Distance(D, P1) - Distance(D, P2)) = 6;Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4018,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4018.png",
+      "answer": "x^2/24 + y^2/8 = 1",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;G: Parabola;Expression(G) = (y^2 = 16*x);RightFocus(H) = Focus(G);Eccentricity(H) = sqrt(6)/3",
+      "coords": {}
+    },
+    {
+      "index": 4019,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4019.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Parabola;X: Circle;p: Number;H: Point;F: Point;O: Origin;M: Point;B: Point;x0: Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (x0, 2*sqrt(2));Focus(G) = F;PointOnCurve(M, G);Center(X) = M;PointOnCurve(O, X);IsTangent(Directrix(G), X);TangentPoint(Directrix(G), X)=H;Intersection(LineSegmentOf(H, F), G) = B",
+      "coords": {}
+    },
+    {
+      "index": 4020,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.324555320336759,
+        "b": 3.872983346207417,
+        "major_axis": "x",
+        "x_coef": 40.0,
+        "y_coef": 15.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4020.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/40 + y^2/15 = 1);Focus(G)=Focus(H);Eccentricity(G)=5/3",
+      "coords": {}
+    },
+    {
+      "index": 4021,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4021.png",
+      "answer": "1/16",
+      "fact_expr": "I: Point;Coordinate(I) = (0, -2);H: Line;PointOnCurve(I, H);G: Parabola;Expression(G) = (y^2 = 16*x);Intersection(H, G) = {A, B};A: Point;B: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;Coordinate(B) = (x2, y2);x2: Number;y2: Number;y1^2 - y2^2 = 1;O: Origin",
+      "coords": {
+        "I": [
+          0.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 4022,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4022.png",
+      "answer": "[1,2)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 1);k: Number;PointOnCurve(Focus(G), xAxis) = True;G: Ellipse;Expression(G) = (x^2/2 + y^2/b = 1);IsIntersect(H, G) = True;b: Number",
+      "coords": {}
+    },
+    {
+      "index": 4023,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4024,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4024.png",
+      "answer": "(2*sqrt(3),sqrt(3))",
+      "fact_expr": "G: Ellipse;A: Point;M: Point;F: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(A) = (-2, sqrt(3));RightFocus(G) = F;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(M, A)) + 2*Abs(LineSegmentOf(M, F)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 4025,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4025.png",
+      "answer": "(\\sqrt{2}/2, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;c: Number;Coordinate(F) = (-c, 0);LeftFocus(G) = F;H: Circle;Center(H) = F;Radius(H) = c;NumIntersection(H, LeftDirectrix(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4026,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4026.png",
+      "answer": "a^2/b^2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);M: Point;IsPerpendicular(LineSegmentOf(P, M), xAxis);FootPoint(LineSegmentOf(P, M), xAxis) = M;Negation(M=P);A1: Point;A2: Point;MajorAxis(G) = LineSegmentOf(A1, A2);PointOnCurve(P, LineSegmentOf(P, M))",
+      "coords": {}
+    },
+    {
+      "index": 4027,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          0.0
+        ],
+        "radius": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4027.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "G: Circle;Expression(G) = (y^2 + (x + 2)^2 = 64);M: Point;Center(G) = M;A: Point;PointOnCurve(A, G);N: Point;Coordinate(N) = (2, 0);P: Point;Intersection(PerpendicularBisector(LineSegmentOf(A, N)), LineSegmentOf(M, A)) = P",
+      "coords": {}
+    },
+    {
+      "index": 4028,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4028.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);F: Point;Focus(G) = F;Distance(A, F) + Distance(B, F) = 5;M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 4029,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4030,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4030.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;H: Ellipse;Expression(H) = (x^2/3 + y^2/4 = 1);Focus(G) = OneOf(Vertex(H))",
+      "coords": {}
+    },
+    {
+      "index": 4031,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4031.png",
+      "answer": "3*sqrt(5)",
+      "fact_expr": "C1: Circle;C: Point;Center(C1) = C;G: Parabola;Expression(G) = (y^2 = 2*x);PointOnCurve(C, G) = True;TangentPoint(C1, yAxis) = A;A: Point;Intersection(C1, xAxis) = {P, Q};P: Point;Q: Point;O: Origin;DotProduct(VectorOf(O, C), VectorOf(O, A)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4032,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4032.png",
+      "answer": "24",
+      "fact_expr": "G: Hyperbola;P: Point;H: Ellipse;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/24 = 1);Expression(H) = (x^2/49 + y^2/24 = 1);Focus(G) = {F1, F2};OneOf(Intersection(G, H)) = P",
+      "coords": {}
+    },
+    {
+      "index": 4033,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4033.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/4 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4034,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4034.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);F: Point;LeftFocus(G) = F;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);Inclination(LineSegmentOf(A, B)) = pi/6;PointOnCurve(F, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 4035,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4035.png",
+      "answer": "{15/4, 17/4}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);FocalLength(G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4036,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4036.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Parabola;p: Number;G: Line;P: Point;F: Point;Q: Point;A: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Directrix(C) = l;PointOnCurve(F, G);Intersection(G, C) = {P, Q};Intersection(G, l) = A;VectorOf(P, F) = 3*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 4037,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4037.png",
+      "answer": "5/3",
+      "fact_expr": "l: Line;C: Hyperbola;a: Number;b: Number;G: Line;Q: Point;P: Point;F1: Point;M: Point;F2: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, G);Intersection(G, RightPart(C)) = {P, Q};DotProduct((VectorOf(F1, P) + VectorOf(F1, Q)), VectorOf(P, Q)) = 0;PointOnCurve(RightVertex(C), l);IsParallel(l, OneOf(Asymptote(C)));Intersection(l, LineSegmentOf(P, Q)) = M;Abs(LineSegmentOf(Q, M)) = 3*Abs(LineSegmentOf(P, M));Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 4038,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.535473169108841,
+        "b": 3.535473169108841,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.3822798825688845e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/train/hyperbola/problem_4038.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (5, 0);Coordinate(F2) = (-5, 0);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(Distance(P,F1)-Distance(P,F2))=6;P:Point",
+      "coords": {
+        "F1": [
+          5.0,
+          0.0
+        ],
+        "F2": [
+          -5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4039,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4039.png",
+      "answer": "9*sqrt(3)",
+      "fact_expr": "C: Parabola;p: Number;A: Point;F: Point;M: Point;l:Line;p>0;Expression(C) = (y^2=2*(p*x));Focus(C) = F;Directrix(C)=l;Expression(l)=(x=-3/2);PointOnCurve(M, C);PointOnCurve(A, l);IsPerpendicular(LineSegmentOf(M,A),l);Slope(LineOf(A,F))=k1;k1=-sqrt(3);k1:Number",
+      "coords": {}
+    },
+    {
+      "index": 4040,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4040.png",
+      "answer": "3/16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/n + x^2/m = 1);Eccentricity(G) = 2;m: Number;n: Number;H: Parabola;Expression(H) = (y^2 = 4*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4041,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4041.png",
+      "answer": "4/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/9 + x^2/a^2 = 1);a: Number;G: Line;Expression(G) = (y = x - 4);PointOnCurve(OneOf(Focus(C)),G) = True",
+      "coords": {}
+    },
+    {
+      "index": 4042,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4042.png",
+      "answer": "12*sqrt(6)",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2 - y^2/8 = 1);Coordinate(A) = (0, 6*sqrt(6));RightFocus(G) = F;PointOnCurve(P, LeftPart(G));WhenMin(Perimeter(TriangleOf(A, P, F)))",
+      "coords": {
+        "A": [
+          0.0,
+          14.696938456699067
+        ]
+      }
+    },
+    {
+      "index": 4043,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4043.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) - Abs(LineSegmentOf(B, F)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 4044,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4045,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4045.png",
+      "answer": "1+3*sqrt(6)/2",
+      "fact_expr": "P: Point;H: Circle;Expression(H) = (x^2 + (y - 2)^2 = 1);PointOnCurve(P, H);G: Ellipse;Expression(G) = (x^2/9 + y^2 = 1);Q: Point;PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 4046,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4047,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4047.png",
+      "answer": "(1, 2)",
+      "fact_expr": "C: Parabola;P: Point;F: Point;K: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = K;PointOnCurve(P, C);Quadrant(P) = 1;WhenMin(Abs(LineSegmentOf(P, F))/Abs(LineSegmentOf(P, K)))",
+      "coords": {}
+    },
+    {
+      "index": 4048,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4049,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4050,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4051,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4051.png",
+      "answer": "32/15",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);A: Point;RightVertex(G)=A;F: Point;RightFocus(G)=F;H: Line;PointOnCurve(F,H);IsParallel(H,OneOf(Asymptote(G)));B: Point;Intersection(H,G)=B",
+      "coords": {}
+    },
+    {
+      "index": 4052,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4053,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4053.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;L:Line;PointOnCurve(F1, L);IsPerpendicular(L,xAxis);Intersection(L, G) = P;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4054,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4055,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4055.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 8*x);Coordinate(A) = (x1,x2);Coordinate(B) = (x2,y2);PointOnCurve(Focus(G),H);Intersection(H, G) = {A,B};Abs(LineSegmentOf(A,B))=16",
+      "coords": {}
+    },
+    {
+      "index": 4056,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4057,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4057.png",
+      "answer": "7/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;F1: Point;F2: Point;Q: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, RightPart(G)) = {P, Q};Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(F1, F2));3*Abs(LineSegmentOf(P, F2)) = 2*Abs(LineSegmentOf(Q, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4058,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4059,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4059.png",
+      "answer": "4+2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);F1: Point;F2: Point;Focus(C)={F1,F2};P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4060,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4060.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;F: Point;B: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = 2/3;Abs(LineSegmentOf(B, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4061,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4061.png",
+      "answer": "4*x+9*y-13=0",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;M: Point;H:Line;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(M) = (1, 1);PointOnCurve(M,H);Intersection(H,G)={A,B};IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4062,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4062.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(F1,H);Intersection(H,G)={P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 4063,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4063.png",
+      "answer": "{2,18}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/9 + y^2/16 = 1);P: Point;PointOnCurve(P, G) = True;P1: Point;P2: Point;OneOf(Focus(G))=P1;OneOf(Focus(G))=P2;Negation(P1=P2);Distance(P, P1) = 10",
+      "coords": {}
+    },
+    {
+      "index": 4064,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4064.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);A: Point;RightVertex(G) = A;F: Point;RightFocus(G) = F;H: Circle;Center(H) = A;R: Number;Radius(H) = R;B: Point;C: Point;Intersection(H, G) = {B, C};PointOnCurve(F,LineOf(B,C)) = True",
+      "coords": {}
+    },
+    {
+      "index": 4065,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4065.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G) = True;P: Point;A: Point;Coordinate(A) = ((-1)*4, 4)",
+      "coords": {
+        "A": [
+          -4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 4066,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4066.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;t:Number;H: Point;I: Point;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (2, t);Coordinate(I) = (p/2, 0);PointOnCurve(H, G);Distance(H, I) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4067,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4067.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;C: Circle;M: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Expression(C) = ((x - 3)^2 + (y - 1)^2 = 1);PointOnCurve(M, G);Focus(G) = F;PointOnCurve(A, C)",
+      "coords": {}
+    },
+    {
+      "index": 4068,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4068.png",
+      "answer": "(pm*(4*sqrt(3))/3,-1/3)",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;Expression(G) = (x^2 + 4*y^2 = 4);Coordinate(A) = (0, 1);PointOnCurve(A, G);PointOnCurve(P, G);IsChordOf(LineSegmentOf(A,P),G);WhenMax(Length(LineSegmentOf(A,P)))",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4069,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4069.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (2*x + y = 0);FocalLength(G)=2*sqrt(5) ;IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 4070,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4070.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;P: Point;Q: Point;F: Point;B: Point;D: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};O: Origin;MidPoint(LineSegmentOf(O, A)) = D;Projection(B, yAxis) = P;Projection(D, yAxis) = Q",
+      "coords": {}
+    },
+    {
+      "index": 4071,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4071.png",
+      "answer": "13",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);P: Point;PointOnCurve(P, G);H: Circle;Expression(H) = (y^2 + (x + 3)^2 = 4);M: Point;PointOnCurve(M, H);H1: Circle;Expression(H1) = (y^2 + (x - 3)^2 = 1);N: Point;PointOnCurve(N, H1)",
+      "coords": {}
+    },
+    {
+      "index": 4072,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4073,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4073.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;m: Number;A: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (1, m);PointOnCurve(A, G);Distance(A, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4074,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_4074.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/b^2 = 1);b: Number;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 4075,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 3.9731175899505615,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.00018243117665406317,
+        "converged": true,
+        "iterations": 127
+      },
+      "output_path": "results/train/parabola/problem_4075.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*p*y);p: Number;p>0;H: Point;Coordinate(H) = (4, 1);PointOnCurve(H, G);Distance(H, Focus(G)) = d;d: Number",
+      "coords": {
+        "H": [
+          4.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 4076,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4076.png",
+      "answer": "(3+pm*sqrt(5))/4",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 3;YCoordinate(MidPoint(LineSegmentOf(A, B))) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 4077,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4078,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4078.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};x1+x2=8",
+      "coords": {}
+    },
+    {
+      "index": 4079,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4079.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;PointOnCurve(F, H) = True;Inclination(H) = ApplyUnit(45, degree);H: Line;Intersection(H, G) = {A, B};B: Point;A: Point",
+      "coords": {}
+    },
+    {
+      "index": 4080,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4080.png",
+      "answer": "3+sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;A: Point;M: Point;Coordinate(A) = (2, 1);Focus(G) = F;PointOnCurve(M, G);Negation(PointOnCurve(M,LineOf(A,F)))",
+      "coords": {
+        "A": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4081,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4081.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 0);Distance(P,OneOf(Asymptote(G)))=sqrt(2)",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4082,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4082.png",
+      "answer": "6/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/6 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;PointOnCurve(M, G);IsPerpendicular(LineSegmentOf(M, F1), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4083,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4083.png",
+      "answer": "2*x**2-2*y**2-2*x-2*y-1=0",
+      "fact_expr": "Q: Point;N: Point;G: Hyperbola;H: Line;L:Line;Expression(G) = (x^2 - y^2 = 1);PointOnCurve(Q,G);PointOnCurve(Q,L);IsPerpendicular(L,H);FootPoint(L,H)=N;Expression(H) = (x + y = 2);MidPoint(LineSegmentOf(Q, N)) = P;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 4084,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4084.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(OneOf(Intersection(Asymptote(G), Directrix(G)))) = (1, sqrt(3))",
+      "coords": {}
+    },
+    {
+      "index": 4085,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4086,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4086.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Circle;Expression(H)=((x - 2)^2 + y^2 = 3);IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4087,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4087.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (x^2/5 + y^2/m = 1);Coordinate(OneOf(Focus(G))) = (0, 1)",
+      "coords": {}
+    },
+    {
+      "index": 4088,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4088.png",
+      "answer": "pm*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;k: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = k*x);Eccentricity(G) = sqrt(3)/3;XCoordinate(OneOf(Intersection(H,G))) = b",
+      "coords": {}
+    },
+    {
+      "index": 4089,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4089.png",
+      "answer": "[4, 5)",
+      "fact_expr": "G: Ellipse;m: Real;H: Line;k: Number;Expression(G) = (x^2/5 + y^2/m = 1);Expression(H) = (y = k*x - 2);IsIntersect(H, G);PointOnCurve(Focus(G), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4090,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4090.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 + y^2/7 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 4091,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4091.png",
+      "answer": "y^2=2*x-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: LineSegment;PointOnCurve(Focus(G), H);IsChordOf(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 4092,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4092.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;M: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1,H);Inclination(H)=ApplyUnit(45,degree);OneOf(Intersection(H,G))=M;IsPerpendicular(LineSegmentOf(M,F2),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4093,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4093.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);P: Point;PointOnCurve(P, G);B: Point;UpperVertex(G) = B",
+      "coords": {}
+    },
+    {
+      "index": 4094,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4095,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4095.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;O: Origin;Q: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(P, F1)) = Q;Abs(LineSegmentOf(O, Q)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4096,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4096.png",
+      "answer": "(1, \\sqrt{2}]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(G) = c",
+      "coords": {}
+    },
+    {
+      "index": 4097,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4097.png",
+      "answer": "-8/9",
+      "fact_expr": "G: Ellipse;H: LineSegment;I: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Coordinate(I) = (2, 1);IsChordOf(H,G);MidPoint(H)=I;Slope(OverlappingLine(H)) = k;k:Number",
+      "coords": {
+        "I": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4098,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4098.png",
+      "answer": "4*pi",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/49 + y^2/24 = 1);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,C);DotProduct(VectorOf(P,F1),VectorOf(P,F2))=0",
+      "coords": {}
+    },
+    {
+      "index": 4099,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4099.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = (3/5)*x)",
+      "coords": {}
+    },
+    {
+      "index": 4100,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4100.png",
+      "answer": "x^2/4 - y^2/2 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F: Point;Q: Point;O: Origin;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Center(G) = F;Radius(G) = sqrt(3);Intersection(G, OneOf(Asymptote(C))) = {P, Q};VectorOf(P, Q) = 2*VectorOf(Q, O);IsPerpendicular(LineSegmentOf(P, F), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4101,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4102,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4103,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4103.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "B: Point;F: Point;M: Point;G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + y - 3*sqrt(2) = 0);UpperVertex(G) = B;LeftFocus(G) = F;IsPerpendicular(LineOf(B,F),H);FootPoint(LineOf(B,F),H)=M;MidPoint(LineSegmentOf(M, F)) = B",
+      "coords": {}
+    },
+    {
+      "index": 4104,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4104.png",
+      "answer": "(-oo,(3*sqrt(2)-sqrt(10))/2)",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;A: Point;m: Real;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (x + y - 3 = 0);PointOnCurve(A, H);PointOnCurve(P,G);LineSegmentOf(P,A)>m",
+      "coords": {}
+    },
+    {
+      "index": 4105,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4106,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4106.png",
+      "answer": "(4, 0)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;P: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 6;Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 4107,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4108,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4108.png",
+      "answer": "8",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;F: Point;N: Point;O: Origin;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {M, N};VectorOf(M, F) = 3*VectorOf(F, N);Area(TriangleOf(O, M, N)) = sqrt(3)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 4109,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4109.png",
+      "answer": "9*pi/16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F2, l);P: Point;Q: Point;Intersection(l, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 4110,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.24967060983181,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 6.555423624376999e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/parabola/problem_4110.png",
+      "answer": "5/4",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (1, 1);PointOnCurve(P, C);Focus(C) = F",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4111,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4111.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "A: Point;B: Point;C: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;PointOnCurve(C, G) = True;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;O: Origin;PointOnCurve(O,LineOf(A,B)) = True;F: Point;RightFocus(G) = F;PointOnCurve(F,LineOf(A,C)) = True;IsPerpendicular(LineSegmentOf(B,F),LineSegmentOf(A,C));Abs(LineSegmentOf(B, F)) = Abs(LineSegmentOf(C, F))",
+      "coords": {}
+    },
+    {
+      "index": 4112,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4112.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/16 + y^2/12 = 1);Eccentricity(G)=4*Eccentricity(H);PointOnCurve(Focus(G),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4113,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4113.png",
+      "answer": "2+pm*sqrt(2)",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y = x^2);PointOnCurve(P, G) ;Negation(P = O);O: Origin;IsPerpendicular(LineSegmentOf(P, Q), xAxis);FootPoint(LineSegmentOf(P, Q), xAxis) = Q;Q: Point;H: Line;PointOnCurve(MidPoint(LineSegmentOf(P, Q)), H);IsParallel(H, xAxis) ;Intersection(H, G) = M;M: Point;Intersection(LineOf(Q, M), yAxis) = N;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 4114,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4115,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4116,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4117,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4117.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4118,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4118.png",
+      "answer": "1/3",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F, l);Inclination(l) = ApplyUnit(120, degree);Intersection(l, G) = {A, B};Quadrant(A)=1;Quadrant(B)=4",
+      "coords": {}
+    },
+    {
+      "index": 4119,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4120,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4120.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);H: Line;Slope(H) = 1;PointOnCurve(OneOf(Focus(G)), H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4121,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4121.png",
+      "answer": "9/2",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;F: Point;O: Origin;L:Line;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, L)=True;Intersection(C, L) = {A, B};VectorOf(A, B) = 3*VectorOf(F, B);Area(TriangleOf(O, A, B)) = (sqrt(2)/3)*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 4122,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4122.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;E: Point;PointOnCurve(E, Directrix(G));LineSegmentOf(E, F) = (2*sqrt(3))/3;H: Line;PointOnCurve(F, H);IsPerpendicular(H, LineSegmentOf(E, F));A: Point;B: Point;Intersection(H, G) = {A, B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 4123,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4123.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "E: Parabola;p: Number;P: Point;A: Point;F: Point;p>0;Expression(E) = (y^2 = 2*(p*x));Focus(E) = F;Intersection(Directrix(E),axis)=A;PointOnCurve(P, E);AngleOf(P, A, F) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4124,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4124.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(H) = (-4*x + x^2 + y^2 + 3 = 0);Center(H)=F;RightFocus(G)=F;IsTangent(Asymptote(G),H);F: Point",
+      "coords": {}
+    },
+    {
+      "index": 4125,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4125.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;H: Line;Expression(H) = (y = 2*x - 1);PointOnCurve(OneOf(Vertex(G)),H) = True;PointOnCurve(OneOf(Focus(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 4126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4127,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4128,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_4128.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (2, 3);PointOnCurve(G, C);FocalLength(C) = 4",
+      "coords": {
+        "G": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 4129,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4129.png",
+      "answer": "100",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/100 + y^2/64 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 4130,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4130.png",
+      "answer": "{0,1,-1}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;H: Point;Coordinate(H) = (-1, 0);PointOnCurve(H, l) = True;NumIntersection(l, G) = 1",
+      "coords": {
+        "H": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4131,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "major_axis": "y",
+        "x_coef": 0.5,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4131.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;P: Point;Coordinate(P) = (x1, y1);x1:Number;y1:Number;Expression(G)=(2*x^2+y^2=1)",
+      "coords": {}
+    },
+    {
+      "index": 4132,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4132.png",
+      "answer": "y^2 = -6*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/3 - y^2 = 1);O: Origin;Vertex(H) = O;Directrix(H) = RightDirectrix(G)",
+      "coords": {}
+    },
+    {
+      "index": 4133,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4134,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4134.png",
+      "answer": "pm*((2*sqrt(2))/3)",
+      "fact_expr": "G: Line;Expression(G) = (y = k*(x + 2));k: Real;C: Parabola;Expression(C) = (y^2 = 8*x);A: Point;B: Point;Intersection(G, C) = {A, B};F: Point;Focus(C) = F;Abs(VectorOf(F, A)) = 2*Abs(VectorOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 4135,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4135.png",
+      "answer": "7/4",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = x);PointOnCurve(M, G);Distance(M, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4136,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4136.png",
+      "answer": "16/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);H: Circle;PointOnCurve(OneOf(Vertex(G)),H) = True;PointOnCurve(OneOf(Focus(G)),H) = True;PointOnCurve(Center(H),G) = True",
+      "coords": {}
+    },
+    {
+      "index": 4137,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4137.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Line;O: Origin;A: Point;F: Point;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);LowerFocus(C)=F;PointOnCurve(F,G);Slope(G)=2;Intersection(G,OneOf(Asymptote(C)))=A;Quadrant(A)=1;Abs(LineSegmentOf(O, A)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 4138,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4138.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);Z: Circle;Expression(Z) = (x^2 + y^2 = R^2);IsDiameter(LineSegmentOf(A, B),Z);R: Number;R>0;M: Point;PointOnCurve(M, G);Negation(M=A);Negation(M=B);Slope(LineOf(M, A))*Slope(LineOf(M, B)) = -1/4",
+      "coords": {}
+    },
+    {
+      "index": 4139,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4140,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4140.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;UpperVertex(G) = A;Coordinate(A) = (0, sqrt(3));Area(InscribedCircle(TriangleOf(A, F1, F2))) = (1/3)*pi",
+      "coords": {
+        "A": [
+          0.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 4141,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4141.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;O: Origin;P: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x = -a);RightFocus(G) = F;PointOnCurve(P, H);AngleOf(O, P, F) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4142,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4142.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;O: Origin;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(l, G) = {A,B};DotProduct(VectorOf(O, A), VectorOf(O, B)) = -4;x1:Number;y1:Number;x2:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 4143,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4144,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4145,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4145.png",
+      "answer": "(1/2,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 4146,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4146.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 4147,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4147.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;Expression(G) = (x^2/9 + y^2/4 = 1);RightVertex(G)=A;UpperVertex(G)=B",
+      "coords": {}
+    },
+    {
+      "index": 4148,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.3333333333333333,
+        "b": 0.25,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4148.png",
+      "answer": "5/6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (9*x^2 - 16*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4149,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4149.png",
+      "answer": "18*sqrt(2)/7",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F: Point;RightFocus(C) = F;A: Point;B: Point;LeftVertex(C) = A;RightVertex(C) = B;Abs(LineSegmentOf(F,A)) = 3;Abs(LineSegmentOf(F,B)) = 1;G: Line;Expression(G) = (y = x + 1/2)",
+      "coords": {}
+    },
+    {
+      "index": 4150,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4151,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4151.png",
+      "answer": "5/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, l);Q: Point;OneOf(Intersection(LineOf(P, F), C)) = Q;VectorOf(P, F) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 4152,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4153,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4154,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4154.png",
+      "answer": "x^2/5 + y^2/4 = 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (2*x - y + 2 = 0);PointOnCurve(OneOf(Vertex(G)),H);PointOnCurve(OneOf(Focus(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 4155,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4155.png",
+      "answer": "sqrt(2)/3",
+      "fact_expr": "G:Ellipse;Expression(G)=(x^2/a^2+y^2/b^2=1);A:Point;B:Point;F:Point;a:Number;b:Number;a>b;b>0;H:Line;RightFocus(G)=F;PointOnCurve(F,H);Slope(H)=1;Intersection(H,G)={A,B};LineSegmentOf(A,F)=2*LineSegmentOf(F,B)",
+      "coords": {}
+    },
+    {
+      "index": 4156,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4156.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4157,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4157.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (5, 2);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          5.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4158,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4158.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l)=(x+sqrt(3)*y=0);IsPerpendicular(OneOf(Asymptote(C)),l);Distance(OneOf(Focus(C)), l) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4159,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4159.png",
+      "answer": "(0,-1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 4160,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4160.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;b: Number;a: Number;H: Circle;P: Point;l1: Line;l2:Line;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 1);Coordinate(P) = (1, 1/2);PointOnCurve(Focus(G), xAxis);TangentOfPoint(P,H)={l1,l2};TangentPoint(l1,H)=A;TangentPoint(l2,H)=B;PointOnCurve(RightFocus(G),LineOf(A,B));PointOnCurve(UpperVertex(G),LineOf(A,B))",
+      "coords": {
+        "P": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 4161,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4161.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;F: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,Q),xAxis);FootPoint(LineSegmentOf(P,Q),xAxis)=Q;LineSegmentOf(P,F)=3",
+      "coords": {}
+    },
+    {
+      "index": 4162,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4163,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4163.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/m = 1);m: Number;PointOnCurve(Focus(G), yAxis);Length(MajorAxis(G)) = 2*Length(MinorAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 4164,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4165,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4165.png",
+      "answer": "x = -2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (2*x + y - 4 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4166,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4166.png",
+      "answer": "(1, \\sqrt{6}/2)",
+      "fact_expr": "C: Hyperbola;P: Point;A: Point;B: Point;a: Number;b: Number;a>0;b>0;e: Number;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);Coordinate(A) = (a, 0);Coordinate(B) = (2*a, 0);PointOnCurve(P,RightPart(C));Negation(P=A);VectorOf(P, A)^2 + VectorOf(P, B)^2 = a^2;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 4167,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4167.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 5*x);Q: Point;Coordinate(Q) = (m, n);m: Number;n: Number;PointOnCurve(Q, G);Distance(Q, Focus(G)) = 25/4",
+      "coords": {}
+    },
+    {
+      "index": 4168,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4169,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4170.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/64 - y^2/36 = 1);P: Point;PointOnCurve(P, G);Distance(P, RightFocus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4171,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4171.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 4172,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.453753471374512,
+        "b": 4.020467281341553,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.0108716348186135e-07,
+        "converged": true,
+        "iterations": 129
+      },
+      "output_path": "results/train/hyperbola/problem_4172.png",
+      "answer": "y=pm*2*sqrt(2)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;N: Point;M: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-6, 0);Coordinate(F2) = (6, 0);Coordinate(N) = (0, 4);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(M, RightPart(C));Min(Perimeter(TriangleOf(M, N, F1))) = 4 + 4*sqrt(13)",
+      "coords": {
+        "F1": [
+          -6.0,
+          0.0
+        ],
+        "F2": [
+          6.0,
+          0.0
+        ],
+        "N": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 4173,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4173.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;Expression(C) = (y^2 = 2*x);Expression(l) = (y = x - 1/2);Intersection(C, l) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4174,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4174.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);Negation(A=B);PointOnCurve(F, LineOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 4175,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4175.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightVertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 4176,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4176.png",
+      "answer": "y^2=4*sqrt(2)*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;L: Line;Expression(L) = (y = 4);Intersection(L,C) = P;P: Point;Intersection(L,yAxis) = Q;Q: Point;Abs(LineSegmentOf(P, F)) = (3/2)*Abs(LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 4177,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4178,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4178.png",
+      "answer": "3/4",
+      "fact_expr": "l: Line;C: Parabola;A: Point;M: Point;B: Point;Expression(C) = (x^2 = 4*y);Coordinate(M) = (3/2, -1);PointOnCurve(Focus(C), l);Intersection(l, C) = {A, B};IsTangent(LineSegmentOf(A, M), C)",
+      "coords": {
+        "M": [
+          1.5,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 4179,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4179.png",
+      "answer": "1/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};L1: Line;L2: Line;Asymptote(C) = {L1, L2};IsPerpendicular(L1, L2);P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4180,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4181,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4181.png",
+      "answer": "(0, +\\infty)",
+      "fact_expr": "G: Hyperbola;O: Point;A: Point;P: Point;Expression(G) = (x^2 - y^2 = 1);Coordinate(O) = (0, 0);Coordinate(A) = (1, 1);PointOnCurve(P,RightPart(G))",
+      "coords": {
+        "O": [
+          0.0,
+          0.0
+        ],
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4182,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4182.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;F: Point;P: Point;Q: Point;l: Line;Expression(C) = (y^2 = 8*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P,F), C))=Q;VectorOf(F, P) = 3*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 4183,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4183.png",
+      "answer": "{0}+[1,+oo)",
+      "fact_expr": "G: Parabola;H: Line;k: Number;Expression(G) = (y^2 = 4*x);Expression(H) = (y = k*x + 1);NumIntersection(H, G) <= 1",
+      "coords": {}
+    },
+    {
+      "index": 4184,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4185,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4185.png",
+      "answer": "x^2=16*y",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2 - y^2/3 = 1);C2: Parabola;Expression(C2) = (x^2 = 2*p*y) ;p: Number;p>0;Distance(Focus(C2),Asymptote(C1)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4186,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4186.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(G) = 4*sqrt(2);l1: Line;l2: Line;Asymptote(G) = {l1, l2};IsPerpendicular(l1, l2) = True",
+      "coords": {}
+    },
+    {
+      "index": 4187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4187.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 64",
+      "coords": {}
+    },
+    {
+      "index": 4188,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4188.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Real;G: Circle;O: Origin;F: Point;A: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = e;e = sqrt(5)/2;RightFocus(C) = F;IsDiameter(LineSegmentOf(O, F), G);Intersection(G, OneOf(Asymptote(C))) = {O, A};Area(TriangleOf(A, O, F)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4189,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4189.png",
+      "answer": "3*x+4*y-7=0",
+      "fact_expr": "G: Ellipse;H: Line;B: Point;A: Point;M: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(M) = (1, 1);PointOnCurve(M, H);Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4190,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4190.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Focus(G) = F;F: Point;Coordinate(F) = (1, 0);Distance(F, Asymptote(G)) = sqrt(5)/5",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4191,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4191.png",
+      "answer": "-(b^2/a^2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Endpoint(MinorAxis(G)) = {A, B};P: Point;PointOnCurve(P, G);Negation(P = A);Negation(P = B)",
+      "coords": {}
+    },
+    {
+      "index": 4192,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4192.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;PointOnCurve(F, H);H: Line;Intersection(H, G) = {A, B};A: Point;B: Point;l1: Line;l2: Line;PointOnCurve(A, l1) ;PointOnCurve(B, l2) ;Directrix(G) = l;l: Line;IsPerpendicular(l1, l) ;IsPerpendicular(l2, l) ;FootPoint(l1, l) = C;FootPoint(l2, l) = D;C: Point;D: Point;Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 4193,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4194,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4195,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4195.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;H: Circle;M: Point;N: Point;F: Point;Expression(G) = (x^2/5 + y^2 = 1);Expression(H) = (x^2 + y^2 = 1);RightFocus(G) = F;Quadrant(M) = 1;PointOnCurve(M, G);IsPerpendicular(LineSegmentOf(M,F),xAxis);TangentPoint(LineOf(M,N),H)=N",
+      "coords": {}
+    },
+    {
+      "index": 4196,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4197,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4198,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4198.png",
+      "answer": "5/2",
+      "fact_expr": "A: Point;Coordinate(A) = (0, 2);l: Line;Expression(l) = (y = x + 3/2);C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;NumIntersection(l, C) = 1;P: Point;PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4199,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_4199.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/4 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(C) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4200,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4200.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Expression(G) = (y = x - 1);Focus(C) = F;PointOnCurve(F,G);Intersection(G,C)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 4201,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4201.png",
+      "answer": "{x-2*y+1=0,y=1}",
+      "fact_expr": "G: Parabola;H: Line;P:Point;Expression(G) = (y^2 = x);Coordinate(P) = (1, 1);NumIntersection(H,G)=1;PointOnCurve(P, H)",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4202,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4202.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;k: Number;k > 0;F: Point;A: Point;B: Point;A1: Point;B1: Point;Expression(C) = (y^2 = 6*x);Slope(l) = k;Focus(C) = F;PointOnCurve(F ,l);Intersection(l, C) = {A, B};l1: Line;l2: Line;PointOnCurve(A, l1);PointOnCurve(B, l2);IsPerpendicular(l1, xAxis);IsPerpendicular(l2, xAxis);FootPoint(l1, xAxis) = A1;FootPoint(l2, xAxis) = B1;Area(TriangleOf(A, B, B1))/Area(TriangleOf(A, B, A1)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4203.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;G:Circle;a: Number;b: Number;A: Point;M: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;Center(G)=A;Radius(G)=b;Intersection(OneOf(Asymptote(C)), G) = {M, N};AngleOf(M, A, N) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4204,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4205,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4206,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4206.png",
+      "answer": "4",
+      "fact_expr": "O: Origin;C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;A: Point;PointOnCurve(A, C);Distance(A, Focus(C)) = 4;M: Point;PointOnCurve(M, Directrix(C));Min(Abs(LineSegmentOf(M, A)) + Abs(LineSegmentOf(O, M))) = 2*sqrt(13)",
+      "coords": {}
+    },
+    {
+      "index": 4207,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4207.png",
+      "answer": "[\\sqrt{2}-1,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c:Number;F1: Point;F2: Point;Q: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) =F1;RightFocus(G)=F2;Abs(VectorOf(F1, Q)) = 2*a;Area(TriangleOf(F1, Q, F2)) = b^2",
+      "coords": {}
+    },
+    {
+      "index": 4208,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4209,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4210,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4210.png",
+      "answer": "(0, 3)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/12)",
+      "coords": {}
+    },
+    {
+      "index": 4211,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4211.png",
+      "answer": "(1,5/3]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,Asymptote(C));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4212,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4212.png",
+      "answer": "[4/5, 8/5]",
+      "fact_expr": "l1: Line;l2: Line;C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1);Asymptote(C) = {l1, l2};P: Point;PointOnCurve(P, C);Range(Distance(P, l1)) = [1/2,1]",
+      "coords": {}
+    },
+    {
+      "index": 4213,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5002657771110535,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 8.410525879298802e-06,
+        "converged": true,
+        "iterations": 102
+      },
+      "output_path": "results/train/parabola/problem_4213.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (2, 2);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4214,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4214.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4);F1: Point;LeftFocus(G) = F1;P1: Point;P2: Point;PointOnCurve(P1, RightPart(G));PointOnCurve(P2, RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 4215,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4215.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;A: Point;l1:Line;l2:Line;Expression(G) = (x^2 = 2*y);PointOnCurve(P,G);PointOnCurve(Q,G);XCoordinate(P)=4;XCoordinate(Q)=-2;TangentOfPoint(P,G)=l1;TangentOfPoint(Q,G)=l2;Intersection(l1,l2)=A",
+      "coords": {}
+    },
+    {
+      "index": 4216,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4216.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;H1: Circle;H2: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H1) = (y^2 + (x + 3)^2 = 1);Expression(H2) = (y^2 + (x - 3)^2 = 4);PointOnCurve(P, G);PointOnCurve(M, H1);PointOnCurve(N, H2)",
+      "coords": {}
+    },
+    {
+      "index": 4217,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4217.png",
+      "answer": "-1/3",
+      "fact_expr": "G: Ellipse;H: Line;a: Real;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = (a*x - y + 1 = 0);PointOnCurve(RightFocus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 4218,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4218.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;O: Origin;P: Point;F: Point;Expression(C) = (x^2/4 + y^2 = 1);RightFocus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 4219,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4219.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;G: Curve;k: Number;P: Point;F: Point;Expression(C) = (y = x^2/4);k>0;Expression(G) = (y = k/x);Focus(C) = F;Intersection(G, C) = P;IsPerpendicular(LineSegmentOf(P, F), yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4220,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4220.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G) = True;Distance(M, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4221,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4221.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;O: Origin;l: Line;Expression(G) = (x^2 = 4*y);Focus(G) = F;Directrix(G) = l;PointOnCurve(P, G);PointOnCurve(P, LineSegmentOf(P,A));IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l)=A;AngleOf(A, F, O) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4222,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4222.png",
+      "answer": "2*x+1=0",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y)",
+      "coords": {}
+    },
+    {
+      "index": 4223,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4223.png",
+      "answer": "-1/2",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2 - y^2 = 1);Coordinate(P) = (a, b);PointOnCurve(P, LeftPart(G));L:Line;OneOf(Asymptote(G))=L;Expression(L)=(y = x);Distance(P, L) = sqrt(2);a:Number;b:Number",
+      "coords": {}
+    },
+    {
+      "index": 4224,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4224.png",
+      "answer": "8",
+      "fact_expr": "A: Point;B: Point;l: Line;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), l);Intersection(l, G) = {A,B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4225,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4225.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/4 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F1, H);Intersection(H, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) + Abs(LineSegmentOf(F2, A)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 4226,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_4226.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/2 + x^2/a^2 = 1);a: Number;Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4227,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4227.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/m^2 = 1);m: Number;m > 0;H: Line;Expression(H) = (y = x*sqrt(2)/2);OneOf(Intersection(H, G)) = M;M: Point;Projection(M, xAxis) = F;F: Point;RightFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 4228,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4228.png",
+      "answer": "x^2/6 + y^2/3 = 1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;E: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;FocalLength(C) = 2*sqrt(3);PointOnCurve(E, C);IsPerpendicular(LineSegmentOf(E, F1), LineSegmentOf(E, F2));Slope(LineOf(E,F1))=b/c;c:Number;HalfFocalLength(C)=c",
+      "coords": {}
+    },
+    {
+      "index": 4229,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4229.png",
+      "answer": "14",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = -2*p*x);Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 4230,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4230.png",
+      "answer": "{(x^2=2*y),(x^2=4*y)}",
+      "fact_expr": "M: Point;Coordinate(M) = (2, -2*p);p: Number;G: Parabola;Expression(G) = (x^2 = 2*p*y);p>0;l1: Line;l2: Line;TangentOfPoint(M, G) = {l1, l2};TangentPoint(l1, G) = A;TangentPoint(l2, G) = B;B: Point;A: Point;YCoordinate(MidPoint(LineSegmentOf(A, B))) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4231,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4231.png",
+      "answer": "(x-5)^2+y^2=9",
+      "fact_expr": "G: Hyperbola;H: Parabola;C:Circle;Expression(G) = (x^2/16 - y^2/9 = 1);Expression(H) = (y^2 = 20*x);Center(C)=Focus(H);IsTangent(Asymptote(G),C)",
+      "coords": {}
+    },
+    {
+      "index": 4232,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4232.png",
+      "answer": "pm*(5/2)",
+      "fact_expr": "G: Hyperbola;H: Circle;m: Number;Expression(G) = (x^2/16 - y^2/9 = 1);Expression(H) = (x^2 + (-m + y)^2 = 4);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 4233,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4234,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4235,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4235.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(MidPoint(LineSegmentOf(M,F))) = (2, 2);PointOnCurve(M, C);Focus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 4236,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4236.png",
+      "answer": "x^2/9-y^2=1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;M: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Focus(G) = {F1,F2};PointOnCurve(M, G);DotProduct(VectorOf(M, F1),VectorOf(M,F2))=0;Abs(VectorOf(M, F1))*Abs(VectorOf(M, F2)) = 2",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4237,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4237.png",
+      "answer": "36",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 4*x);Intersection(l, G) = {A, B};A: Point;B: Point;O: Origin;Slope(LineOf(O,A)) * Slope(LineOf(O,B)) = -1;C: Circle;Center(C) = MidPoint(LineSegmentOf(A,B));Radius(C) = sqrt(2);Intersection(l,C) = {P,Q};P: Point;Q: Point",
+      "coords": {}
+    },
+    {
+      "index": 4238,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4238.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 1);p>0;Expression(H) = (y^2 = 2*p*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 4239,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4239.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4240,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4241,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4241.png",
+      "answer": "11",
+      "fact_expr": "C: Ellipse;H: Line;A: Point;B: Point;F: Point;G: Point;Expression(C) = (x^2/16 + y^2/9 = 1);Focus(C) = {F, G};PointOnCurve(G, H);Intersection(H, C) = {A, B};Abs(LineSegmentOf(A, B)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4242,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4243,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4243.png",
+      "answer": "x^2/16-y^2/9=1;3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);FocalLength(G)=10;Slope(OneOf(Asymptote(G)))=3/4",
+      "coords": {}
+    },
+    {
+      "index": 4244,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 8.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4244.png",
+      "answer": "27",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/36 - y^2/64 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Distance(P, F1) = 15",
+      "coords": {}
+    },
+    {
+      "index": 4245,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4245.png",
+      "answer": "{22,2}",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P:Point;Expression(G) = (x^2/25 - y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Distance(P,F1)=12",
+      "coords": {}
+    },
+    {
+      "index": 4246,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4247,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4247.png",
+      "answer": "x^2/5 - y^2/20 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;l: Line;Expression(l) = (y = 2*x + 10);IsParallel(OneOf(Asymptote(G)),l) = True;PointOnCurve(OneOf(Focus(G)),l) = True",
+      "coords": {}
+    },
+    {
+      "index": 4248,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4248.png",
+      "answer": "sqrt(2)/4",
+      "fact_expr": "l: Line;G: Ellipse;B: Point;A: Point;O: Origin;M: Point;N: Point;Expression(G) = (x^2/2 + y^2 = 1);Negation(PointOnCurve(O, l));Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = M;Intersection(PerpendicularBisector(LineSegmentOf(A,B)), xAxis) = N",
+      "coords": {}
+    },
+    {
+      "index": 4249,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4249.png",
+      "answer": "sqrt(7)/4",
+      "fact_expr": "l: Line;E: Ellipse;b: Number;a: Number;P: Point;F: Point;Q: Point;O:Origin;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F;PointOnCurve(O,l);Intersection(l, E) = {P, Q};Abs(LineSegmentOf(P, F)) = 3*Abs(LineSegmentOf(Q, F));AngleOf(P, F, Q) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4250,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4250.png",
+      "answer": "(2*sqrt(3))/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;H: Line;PointOnCurve(F,H);A: Point;B: Point;Intersection(H, G) = {A, B};L1: Line;L2: Line;C: Point;D: Point;PointOnCurve(A, L1);PointOnCurve(B, L2);IsPerpendicular(L1, l);IsPerpendicular(L2, l);FootPoint(L1, l) = C;FootPoint(L2, l) = D;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));Area(TriangleOf(C, D, F)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 4251,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4251.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*x)",
+      "coords": {}
+    },
+    {
+      "index": 4252,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4253,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4253.png",
+      "answer": "pi/2",
+      "fact_expr": "C: Parabola;p: Number;P: Point;M: Point;Q:Point;L1: Line;L2: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Intersection(Directrix(C), xAxis) = M;TangentOfPoint(M, C) = {L1, L2};TangentPoint(L1,C)=P;TangentPoint(L2,C)=Q",
+      "coords": {}
+    },
+    {
+      "index": 4254,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4255,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4255.png",
+      "answer": "-12",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(Focus(G), H);Intersection(G, H) = {A, B};Slope(H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4256,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4256.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;M: Point;N: Point;a>0;b>0;e:Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = e;Expression(l)=(y=x);Intersection(l, C) = {M, N};Abs(LineSegmentOf(M, N)) = sqrt(2)*b",
+      "coords": {}
+    },
+    {
+      "index": 4257,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4257.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Ellipse;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2/9 + y^2/4 = 1);Focus(C) = Focus(G);Expression(Asymptote(C)) = (y = pm*(2*x))",
+      "coords": {}
+    },
+    {
+      "index": 4258,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4258.png",
+      "answer": "x^2 - y^2/(1/2) = 1",
+      "fact_expr": "P: Point;Coordinate(P) = (3, 2);PointOnCurve(P, Z);G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);Z: Hyperbola;Expression(Asymptote(Z))=Expression(Asymptote(G))",
+      "coords": {
+        "P": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4259,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4259.png",
+      "answer": "2*sqrt(2)-6",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/5 = 1);B: Point;Coordinate(B) = (-2, 0);A: Point;Coordinate(A) = (4, 2);M: Point;PointOnCurve(M, C)",
+      "coords": {
+        "B": [
+          -2.0,
+          0.0
+        ],
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4260,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4260.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4261,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4261.png",
+      "answer": "y^2/4 - x^2/12 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/9 + y^2/25 = 1);FocalLength(G) = FocalLength(H);Eccentricity(G) + Eccentricity(H) = 14/5",
+      "coords": {}
+    },
+    {
+      "index": 4262,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4262.png",
+      "answer": "pm*8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = m*x);m: Number;H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 4263,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_4263.png",
+      "answer": "x^2 - y^2 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>b;b>0;Expression(Asymptote(G)) = (y = pm*x);H: Point;Coordinate(H) = (sqrt(2), 1);PointOnCurve(H,G) = True",
+      "coords": {
+        "H": [
+          1.4142135623730951,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 4264,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4264.png",
+      "answer": "-4",
+      "fact_expr": "l: Line;C: Parabola;O: Origin;A: Point;B: Point;M: Point;l1: Line;l2: Line;Expression(C) = (y = x^2/4);Expression(l) = (y=-2);PointOnCurve(M, l);TangentOfPoint(M, C) = {l1, l2};TangentPoint(l1,C)=A;TangentPoint(l2,C)=B",
+      "coords": {}
+    },
+    {
+      "index": 4265,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4266,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4266.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F1),VectorOf(P,F2));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4267,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4267.png",
+      "answer": "5*sqrt(3)/3",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;Abs(LineSegmentOf(F1, F2)) = 10;P: Point;PointOnCurve(P, RightPart(E));A: Point;Intersection(LineSegmentOf(P, F1), yAxis) = A;Q: Point;TangentPoint(LineSegmentOf(A, F2), InscribedCircle(TriangleOf(P, A, F2))) = Q;Abs(LineSegmentOf(A, Q)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4268,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4268.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;F: Point;A: Point;B: Point;l: Line;H: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(F, H);Intersection(H, l) = A;OneOf(Intersection(H, C)) = B;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 4269,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4269.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4270,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4270.png",
+      "answer": "x^2/2 - y^2/8 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1);H: Hyperbola;Asymptote(G) = Asymptote(H)",
+      "coords": {}
+    },
+    {
+      "index": 4271,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4271.png",
+      "answer": "[3/4,3/2]",
+      "fact_expr": "C:Hyperbola;P: Point;A2: Point;A1: Point;Expression(C) = (x^2/2 - y^2/3 = 1);LeftVertex(C)=A1;RightVertex(C)=A2;PointOnCurve(P,C);Range(Slope(LineOf(P,A2)))=[1,2]",
+      "coords": {}
+    },
+    {
+      "index": 4272,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4272.png",
+      "answer": "5*sqrt(3)/6",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 4273,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4274,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4274.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Circle;a>0;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Expression(H) = (x^2 + (y - 2)^2 = 1);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 4275,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4275.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;RightVertex(G) = A;B: Point;UpperVertex(G) = B;l: Line;C: Point;D: Point;Intersection(l, G) = {C, D};IsParallel(l, LineOf(A, B));k1: Number;k2: Number;Slope(LineOf(A, C)) = k1;Slope(LineOf(B, D)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 4276,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4276.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/4 + x^2/a = 1);Expression(OneOf(Asymptote(G))) = (x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 4277,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4277.png",
+      "answer": "8",
+      "fact_expr": "H: Ellipse;e: Number;Eccentricity(H) = e;e = 1/2;G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);Focus(H) = Focus(G);P: Point;PointOnCurve(P, H);F1: Point;F2: Point;Focus(H) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 4278,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4278.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (c, 0);RightFocus(C)=F;Center(G)=F;Radius(G)=a;Intersection(G,OneOf(Asymptote(C)))={A, B};Abs(LineSegmentOf(A, B)) = sqrt(2)*c;c:Number",
+      "coords": {}
+    },
+    {
+      "index": 4279,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4279.png",
+      "answer": "4*x - y -10 =0",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = 16*x);A: Point;B: Point;Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);P: Point;Coordinate(P) = (3, 2);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4280,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.2628633975982666,
+        "b": 1.8162860737044515,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.6997004191253788e-06,
+        "converged": true,
+        "iterations": 101
+      },
+      "output_path": "results/train/ellipse/problem_4280.png",
+      "answer": "sqrt(5) + 2",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (1, 2);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 4281,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4281.png",
+      "answer": "x^2=6*y",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P,C) = True;E: Point;l1: Line;PointOnCurve(P,l1) = True;IsPerpendicular(l,l1) = True;Intersection(l,l1) = E;AngleOf(P, F, E) = ApplyUnit(60, degree);Abs(LineSegmentOf(P, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4282,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4282.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;Expression(G) = (x^2/12 + y^2/9 = 1);Coordinate(A) = (0, 1/2);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 4283,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142164083257607,
+        "b": 1.4142164083257607,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.216064987687002e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_4283.png",
+      "answer": "6",
+      "fact_expr": "F1: Point;F2: Point;Coordinate(F1) = (-2, 0);Coordinate(F2) = (2, 0);H: Ellipse;Expression(H) = (x^2 + 2*y^2 = 8);G: Hyperbola;Expression(G) = (x^2 - y^2 = 2);P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4284,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4284.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;O: Origin;l: Line;PointOnCurve(O, l);Inclination(l) = ApplyUnit(60, degree);M: Point;OneOf(Intersection(l, C)) = M;Abs(VectorOf(M, F1) + VectorOf(M, F2)) = Abs(VectorOf(M, F1) - VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4285,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4285.png",
+      "answer": "{11, 29}",
+      "fact_expr": "G: Ellipse;k: Number;Expression(G) = (x^2/20 + y^2/k = 1);FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4286,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4286.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;B: Point;O: Origin;F: Point;A: Point;Expression(G) = (y^2 = 8*x);Focus(G)=F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4287,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4288,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4289,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4290,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4291,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4291.png",
+      "answer": "x^2/16+y^2/9=1",
+      "fact_expr": "H: Circle;Expression(H) = (x^2 + y^2 = 1);L1: Line;IsTangent(L1, H) = True;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);A: Point;B: Point;Intersection(L1, G) = {A, B};Intersection(TangentOnPoint(A, G), TangentOnPoint(B, G)) = P;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 4292,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4292.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Parabola;Expression(H) = (y^2 = 4*x);Length(InterceptChord(Directrix(H), G)) = b",
+      "coords": {}
+    },
+    {
+      "index": 4293,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4293.png",
+      "answer": "x^2=-(20/3)*y",
+      "fact_expr": "C: Parabola;G: Line;O:Origin;Expression(G) = (2*x - 3*y - 5 = 0);Vertex(C)=O;SymmetryAxis(C)=yAxis;PointOnCurve(Focus(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 4294,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4294.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;B: Point;C: Point;A: Point;Expression(G) = (x^2/3 + y^2 = 1);PointOnCurve(F2, LineSegmentOf(B, C));PointOnCurve(B, G);PointOnCurve(C, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1 = F2);A = F1",
+      "coords": {}
+    },
+    {
+      "index": 4295,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4296,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4296.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;Expression(H) = (y = x);O: Origin;A: Point;Intersection(H, G) = {O, A};B: Point;Intersection(H, Directrix(G)) = B;C: Point;OneOf(Intersection(LineOf(A,F),G))=C",
+      "coords": {}
+    },
+    {
+      "index": 4297,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4298,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4298.png",
+      "answer": "10",
+      "fact_expr": "C: Parabola;G: Line;A: Point;F: Point;P: Point;l:Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P,C);Directrix(C)=l;PointOnCurve(P,G);IsPerpendicular(l,G);FootPoint(l,G)=A;Slope(LineOf(A,F))=-2",
+      "coords": {}
+    },
+    {
+      "index": 4299,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4300,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4300.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4301,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4301.png",
+      "answer": "(2,4]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;O: Origin;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2;PointOnCurve(P, G);LeftFocus(G)=F1;RightFocus(G)=F2",
+      "coords": {}
+    },
+    {
+      "index": 4302,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4303,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4304,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4305,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4305.png",
+      "answer": "x=pm*(\\sqrt{5}/5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4306,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4306.png",
+      "answer": "{(-oo,-sqrt(17))+(sqrt(17),+oo)}",
+      "fact_expr": "G: Ellipse;H: Line;b: Number;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (y = b + 2*x);NumIntersection(H,G)=0",
+      "coords": {}
+    },
+    {
+      "index": 4307,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4307.png",
+      "answer": "x^2/2 - y^2/2 = 1",
+      "fact_expr": "C: Hyperbola;G: Parabola;O: Origin;Expression(G) = (y^2 = 8*x);Center(C) = O;SymmetryAxis(C)=axis;OneOf(Focus(C) )= Focus(G);Expression(OneOf(Asymptote(C))) = (x + y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 4308,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4308.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Parabola;B: Point;A: Point;Expression(C) = (y^2 = 6*x);PointOnCurve(Focus(C), l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4309,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4309.png",
+      "answer": "sqrt(2) - 1",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Circle;I: Line;M: Point;N: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G), I);IsPerpendicular(I, xAxis);Intersection(I, G) = {M, N};IsDiameter(LineSegmentOf(M, N), H);PointOnCurve(LeftFocus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4310,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 0.9927864074707031,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.00015326803259085864,
+        "converged": true,
+        "iterations": 44
+      },
+      "output_path": "results/train/parabola/problem_4310.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;P: Point;Coordinate(P) = (4, 4);PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          4.0,
+          4.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 4311,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4312,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4312.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/n + x^2/m = 1);m: Number;n: Number;Eccentricity(G) = 2;H: Parabola;Expression(H) = (y^2 = 8*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4313,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.3166247903554,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 11.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4313.png",
+      "answer": "2*sqrt(11)/11",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/11 + y^2/7 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4314,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4315,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4315.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;a>0;V: Point;PointOnCurve(V, G) = True;XCoordinate(V) = 6;Distance(V, Focus(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 4316,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4317,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4317.png",
+      "answer": "(1,0)",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C)=F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 4;Distance(P, yAxis) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4318,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4318.png",
+      "answer": "{6}",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/8 = 1);F: Point;RightFocus(G) = F;H: Circle;Expression(H) = (x^2 + y^2 = 8);M: Point;Quadrant(M) = 1;Z: Line;TangentOnPoint(M, H) = Z;P: Point;Q: Point;Intersection(Z, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 4319,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4319.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 2*x);HalfFocalLength(G) = c;XCoordinate(OneOf(Intersection(H,G)))=c;c:Number",
+      "coords": {}
+    },
+    {
+      "index": 4320,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4320.png",
+      "answer": "2",
+      "fact_expr": "l1: Line;Expression(l1) = (3*x - 4*y - 9 = 0);l2: Line;Expression(l2) = (y = 1/4);G: Parabola;Expression(G) = (y = x^2);P: Point;PointOnCurve(P,G) = True",
+      "coords": {}
+    },
+    {
+      "index": 4321,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4321.png",
+      "answer": "(0,2*sqrt(5)/5)",
+      "fact_expr": "l: Line;k:Number;Expression(l) = (y = k*x + 2);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;B: Point;UpperVertex(G) = B;F: Point;LeftFocus(G) = F;PointOnCurve(B, l);PointOnCurve(F, l);H: Circle;Expression(H) = (x^2 + y^2 = 4);L: Number;Length(InterceptChord(l, H)) = L;L >= 4*sqrt(5)/5;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4322,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4322.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;H: Line;b: Number;Expression(G) = (y^2 = 4*x);Expression(H) = (y = b + 2*x);Length(InterceptChord(H,G))=3*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 4323,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4323.png",
+      "answer": "5/2",
+      "fact_expr": "A: Point;B: Point;G: Parabola;F: Point;Expression(G) = (y^2 = 2*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4324,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4324.png",
+      "answer": "y = pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;l: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);IsPerpendicular(l, OneOf(Asymptote(G)));FootPoint(l, OneOf(Asymptote(G))) = M;Abs(VectorOf(M, F1)) = 3*Abs(VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4325,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4325.png",
+      "answer": "x^2/4 + y^2/3 = 1",
+      "fact_expr": "C: Circle;H:Circle;G:Circle;C1:Point;Expression(H)=((x+1)^2+y^2=1);Expression(G)=((x-1)^2+y^2=25);IsIntersect(C,H);IsTangent(C,G);Center(C)=C1",
+      "coords": {}
+    },
+    {
+      "index": 4326,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_4326.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 4327,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4327.png",
+      "answer": "y=pm*x",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/3 + y^2 = 1);C2: Hyperbola;F1: Point;F2: Point;Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};P: Point;Intersection(C1, C2) = P;O: Origin;LineSegmentOf(O, P) = LineSegmentOf(O, F1)",
+      "coords": {}
+    },
+    {
+      "index": 4328,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4329,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4330,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4330.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;M: Point;F: Point;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);OneOf(Intersection(H, G)) = M;Focus(H) = F;LineSegmentOf(M, F) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4331,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4331.png",
+      "answer": "y=(-1/2)*x\ny=(1/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);L1:Line;L2:Line;Asymptote(G)={L1,L2}",
+      "coords": {}
+    },
+    {
+      "index": 4332,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4332.png",
+      "answer": "19",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);P: Point;PointOnCurve(P, G);N: Circle;Expression(N) = (x^2 + (y - 1)^2 = 1);E: Point;F: Point;IsDiameter(LineSegmentOf(E, F), N) = True",
+      "coords": {}
+    },
+    {
+      "index": 4333,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.9991092681884766,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 1.8838097730622394e-06,
+        "converged": true,
+        "iterations": 115
+      },
+      "output_path": "results/train/parabola/problem_4333.png",
+      "answer": "-3/4",
+      "fact_expr": "B: Point;Coordinate(B) = (8, 8);C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;PointOnCurve(B, C) = True;Intersection(TangentOnPoint(B,C),Directrix(C))=A;A: Point;F: Point;Focus(C) = F",
+      "coords": {
+        "B": [
+          8.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 4334,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4334.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Real;H: Parabola;Expression(G) = (-y^2 + x^2/m = 1);Expression(H) = (y^2 = -8*x);Focus(H) = LeftFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4335,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_4335.png",
+      "answer": "x^2/12 - y^2/24 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Eccentricity(G) = sqrt(3);LeftDirectrix(G)=Directrix(H)",
+      "coords": {}
+    },
+    {
+      "index": 4336,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4336.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "P: Point;Coordinate(P) = (2, 0);H: Line;Inclination(H) = ApplyUnit(60, degree);PointOnCurve(P, H);G: Ellipse;Expression(G) = (x^2/5 + y^2/3 = 1);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4337,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4338,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4338.png",
+      "answer": "-4/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G) = True;A: Point;Coordinate(A) = (1, 1);WhenMin(Perimeter(TriangleOf(P,A,F))) = True",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4339,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4339.png",
+      "answer": "b^2/a^2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A1: Point;P: Point;A2: Point;a>0;b>0;k1:Number;k2:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));Negation(P=Vertex(G));LeftVertex(G)=A1;RightVertex(G)=A2;Slope(LineOf(A1,P))=k1;Slope(LineOf(A2,P))=k2",
+      "coords": {}
+    },
+    {
+      "index": 4340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4340.png",
+      "answer": "(1,2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;AngleOf(P, F2, F1) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4341,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4341.png",
+      "answer": "0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2/b^2 = 1);b: Number;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Expression(OneOf(Asymptote(G))) = (y = x);P: Point;Coordinate(P) = (sqrt(3), y0);y0: Number;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 4342,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4343,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4343.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;Z: Line;PointOnCurve(F, Z);IsPerpendicular(Z, OneOf(Asymptote(C)));M: Point;Intersection(Z, C) = M;N: Point;FootPoint(Z, OneOf(Asymptote(C))) = N;MidPoint(LineSegmentOf(F, N)) = M",
+      "coords": {}
+    },
+    {
+      "index": 4344,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4344.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4345,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4345.png",
+      "answer": "34/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);M:Point;PointOnCurve(M,G);XCoordinate(M)=5",
+      "coords": {}
+    },
+    {
+      "index": 4346,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4346.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;O: Origin;N: Point;M: Point;F: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(M,G);OneOf(Focus(G))=F;Distance(M,F)=2;MidPoint(LineSegmentOf(M,F))=N",
+      "coords": {}
+    },
+    {
+      "index": 4347,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4348,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 1.681220143106833,
+        "b": 2.2412689930799665,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.985250663519028e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_4348.png",
+      "answer": "x^2/36 - y^2/64 = 1",
+      "fact_expr": "G: Hyperbola;Center(G) = O;O: Origin;F: Point;OneOf(Focus(G)) = F;Coordinate(F) = (10, 0);Expression(Asymptote(G)) = (y = pm*(4/3)*x)",
+      "coords": {
+        "F": [
+          10.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4349,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4349.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;G: Line;m: Number;k: Number;F: Point;M: Point;N: Point;Expression(C) = (y^2 = 4*x);k>0;Expression(G) = (y = k*x + m);Intersection(G,C)=M;Intersection(G, Directrix(C))=N;Focus(C) = F;2*VectorOf(F, M) = VectorOf(M, N)",
+      "coords": {}
+    },
+    {
+      "index": 4350,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4350.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;I: Point;Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G) = Focus(H);Coordinate(I) = (sqrt(2), sqrt(3));PointOnCurve(I, G)",
+      "coords": {
+        "I": [
+          1.4142135623730951,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 4351,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4352,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4352.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 4353,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4353.png",
+      "answer": "5",
+      "fact_expr": "l: Line;G: Parabola;M: Point;O: Origin;N: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {M, N};Area(TriangleOf(M, O, N)) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 4354,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4355,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4356,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4356.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4357,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4357.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Line;P:Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x*(b/(3*a)));Eccentricity(G) = e;Intersection(H,LeftPart(G))=P;LeftFocus(G)=F1;IsPerpendicular(LineSegmentOf(P,F1),xAxis);F1:Point",
+      "coords": {}
+    },
+    {
+      "index": 4358,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4358.png",
+      "answer": "x-y-3=0",
+      "fact_expr": "G: Hyperbola;H: Line;B: Point;A: Point;P: Point;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(P) = (4, 1);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {
+        "P": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4359,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4360,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4360.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;A: Point;e: Number;c:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(F1, F2)) = 2*c;PointOnCurve(A, G);DotProduct(VectorOf(A, F1), VectorOf(F1, F2)) = 0;DotProduct(VectorOf(A, F1), VectorOf(A, F2)) = c^2;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4361,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4362,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4363,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4363.png",
+      "answer": "{(x^2/9+y^2/5=1)&Negation(x=-3),(y=0)&Negation(x=-3)&Negation(x=-2)&Negation(x=2)}",
+      "fact_expr": "P: Circle;M:Circle;N:Circle;Expression(M)=((x-2)^2+y^2=25);Expression(N)=((x+2)^2+y^2=1);IsTangent(P,M);IsTangent(P,N)",
+      "coords": {}
+    },
+    {
+      "index": 4364,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4365,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4365.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;G: Circle;r: Number;Expression(C) = (-x^2/4 + y^2/5 = 1);r>0;Expression(G) = (y^2 + (x - 3)^2 = r^2);IsTangent(Asymptote(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 4366,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4367,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4367.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (0, 1);Distance(P, A) = 2",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4368,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4368.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;P: Point;Q: Point;H:Line;M: Point;S: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (x = 4);Coordinate(M) = (1, 0);PointOnCurve(M,LineSegmentOf(P,Q));IsChordOf(LineSegmentOf(P,Q),G);Intersection(LineOf(P,Q), H) = S",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4369,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4369.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (0, 2*sqrt(2));PointOnCurve(P, G);PointOnCurve(P, LineSegmentOf(P, Q));IsPerpendicular(LineSegmentOf(P, Q), yAxis);FootPoint(LineSegmentOf(P, Q), yAxis) = Q",
+      "coords": {
+        "A": [
+          0.0,
+          2.8284271247461903
+        ]
+      }
+    },
+    {
+      "index": 4370,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4370.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Ellipse;I: Circle;P: Point;Q: Point;O: Origin;Expression(G) = (x^2 = 2*(sqrt(6)*y));Expression(H) = (x^2/3 + y^2 = 1);PointOnCurve(P, H);PointOnCurve(Q, Directrix(G));IsDiameter(LineSegmentOf(P,Q),I);PointOnCurve(O, I)",
+      "coords": {}
+    },
+    {
+      "index": 4371,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4371.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4372,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4372.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G),H);Intersection(G, H) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4373,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4373.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;PointOnCurve(M, G);AngleOf(F1, M, F2) = ApplyUnit(90, degree);N: Point;Intersection(LineOf(M, F1), G) = N;4*Abs(LineSegmentOf(N, F2)) = 5*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4374,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4374.png",
+      "answer": "(1, 0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(G) = {F1, F2};e: Number;Eccentricity(G) = e;e = sqrt(2)/2;P: Point;PointOnCurve(P, G) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(P, F1, F2)) = 1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 4375,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4376,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4377,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4378,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4378.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;N: Point;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(MidPoint(LineSegmentOf(M,N))) = (3, 6);Coordinate(F) = (-3, 0);LeftFocus(G)=F;PointOnCurve(F, H);Intersection(H, G) = {M, N};F:Point",
+      "coords": {
+        "F": [
+          -3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4379,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4379.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;F: Point;P: Point;Q: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G)=l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P,F),G))=Q;VectorOf(F, P) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 4380,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4380.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;M: Point;N: Point;H:Line;C:Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(LeftFocus(G),H);IsPerpendicular(H,xAxis);Intersection(H,G) = {M, N};IsDiameter(LineSegmentOf(M,N),C);PointOnCurve(RightVertex(G),C)",
+      "coords": {}
+    },
+    {
+      "index": 4381,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4381.png",
+      "answer": "ApplyUnit(60,degree)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 4382,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4382.png",
+      "answer": "-8",
+      "fact_expr": "r: Ellipse;Expression(r) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;Eccentricity(r) = sqrt(3)/2;A: Point;B: Point;C: Point;PointOnCurve(Vertex(TriangleOf(A, B, C)), r);D: Point;E: Point;M: Point;MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = M;k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(A, C))) = k3;Negation(k1=0);Negation(k2=0);Negation(k3=0);O: Origin;Slope(LineOf(O, D)) + Slope(LineOf(O, E)) + Slope(LineOf(O, M)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4383,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4383.png",
+      "answer": "x^2/18+y^2/9=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;B: Point;A: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (3, 0);RightFocus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Coordinate(MidPoint(LineSegmentOf(A,B)))=(1,-1)",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4384,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4384.png",
+      "answer": "4-2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;P: Point;O: Origin;F1: Point;x1:Number;y1:Number;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G);LeftFocus(G) = F1",
+      "coords": {}
+    },
+    {
+      "index": 4385,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4385.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};O: Origin;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4386,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4386.png",
+      "answer": "y^2 = 6*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;PointOnCurve(A, C);G: Circle;Center(G) = F;Radius(G) = Abs(LineSegmentOf(F, A));B: Point;D: Point;Intersection(G, l) = {B, D};AngleOf(A, B, D) = ApplyUnit(90, degree);Area(TriangleOf(A, B, F)) = 9*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4387.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "D: Hyperbola;C: Ellipse;P: Point;F1: Point;F2: Point;e: Number;Expression(C) = (x^2/4 + y^2 = 1);Focus(D) = {F1,F2};Focus(C) = {F1,F2};OneOf(Intersection(C,D))=P;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Eccentricity(D) = e",
+      "coords": {}
+    },
+    {
+      "index": 4388,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4389,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          3.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4389.png",
+      "answer": "1/4, -1/28",
+      "fact_expr": "G: Parabola;Expression(G) = (y = a*x^2);a: Number;H: Circle;Expression(H) = (-6*y + x^2 + y^2 - 7 = 0);IsTangent(Directrix(G), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 4390,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4390.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "H: Ellipse;Expression(H) = (k^2 + x^2 = 3*k);k: Number;k>0;G: Parabola;Expression(G) = (y^2 = 12*x);OneOf(Focus(H)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4391,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4391.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;A: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(A, C);Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4392,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4392.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;C: Parabola;P: Point;O: Origin;Expression(C) = (y^2 = 4*x);Coordinate(P) = (sqrt(5), 4);Center(G) = O;PointOnCurve(P, G);RightVertex(G) = Focus(C)",
+      "coords": {
+        "P": [
+          2.23606797749979,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 4393,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4393.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "G: Parabola;F: Point;Coordinate(F) = (2, 0);Focus(G) = F",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4394,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4394.png",
+      "answer": "(x-2)^2+y^2=1",
+      "fact_expr": "H: Line;A: Point;Coordinate(A) = (4, 0);PointOnCurve(A, H);G: Circle;Expression(G) = (x^2 + y^2 = 4);B: Point;Intersection(H, G) = B;P: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {}
+    },
+    {
+      "index": 4395,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4395.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 4396,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4397,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4397.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H) = True;Intersection(H, G) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 4398,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4398.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "G: Ellipse;Z: Line;F2: Point;A: Point;F1: Point;B: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1,F2};PointOnCurve(F1, Z);Intersection(Z, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4399,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4399.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4400,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4400.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);Intersection(G, yAxis) = {M, N};M: Point;N: Point;H: Line;Expression(H) = (y = x);A1: Point;A2: Point;Intersection(H, G) = {A1, A2};P: Point;PointOnCurve(P, G) = True;Negation(P = A1);Negation(P = A2);Q: Point;IsPerpendicular(LineSegmentOf(Q, A1), LineSegmentOf(P, A1)) = True;IsPerpendicular(LineSegmentOf(Q, A2), LineSegmentOf(P, A2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 4401,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4401.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;k1:Number;k2:Number;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x - 1);Intersection(H, G) = {A, B};Slope(LineSegmentOf(O, A)) = k1;Slope(LineSegmentOf(O,B))=k2",
+      "coords": {}
+    },
+    {
+      "index": 4402,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4402.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (a, b);LeftFocus(C) = F1;RightFocus(C) = F2;AngleOf(M, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4403,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4403.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4404,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4404.png",
+      "answer": "3/2+sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4405,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4405.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;Coordinate(F) = (2, 0);OneOf(Focus(G)) = F;H: Circle;Expression(H) = (y^2 + (x - 2)^2 = 3);IsTangent(Asymptote(G), H)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4406,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4406.png",
+      "answer": "x^2/6 - y^2/8 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;C:Hyperbola;Expression(G) = (x^2/3 - y^2/4 = 1);Coordinate(H) = (3, 2);Asymptote(C) = Asymptote(G);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4407,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4407.png",
+      "answer": "(-2, \\pm 2\\sqrt{2})",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x);M: Point;PointOnCurve(M, G);Distance(M, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4408,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4408.png",
+      "answer": "9*sqrt(13)/13",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;RightVertex(G) = A;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);IsPerpendicular(H, xAxis);B: Point;OneOf(Intersection(H, G)) = B;Abs(LineSegmentOf(F1, F2)) = 2;Abs(LineSegmentOf(F2, B)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 4409,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4409.png",
+      "answer": "3",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/4 + y^2/m = 1);m: Number;G: Hyperbola;Expression(G) = (x^2 - y^2/n = 1);n: Number;F1: Point;F2: Point;Focus(H) = {F1, F2};Focus(G) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 4410,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4411,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4411.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;F:Point;Expression(G) = (x^2/9 - y^2/16 = 1);RightFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 4412,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4412.png",
+      "answer": "y^2/4 + x^2 = 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;a > b;b > 0;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);Coordinate(A) = (1, 0);RightVertex(G) = A;H:LineSegment;IsChordOf(H,G);PointOnCurve(Focus(G),H);IsPerpendicular(H,MajorAxis(G));Length(H)=1",
+      "coords": {
+        "A": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4413,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4413.png",
+      "answer": "16/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};y1: Number;Coordinate(A) = (3, y1);Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4414,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4414.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 4415,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4415.png",
+      "answer": "[\\sqrt{3}/2, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) ;AngleOf(F1, P, F2) = 2*pi/3",
+      "coords": {}
+    },
+    {
+      "index": 4416,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4416.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;N: Point;M: Point;O: Origin;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Vertex(H) = O;Focus(H) = F;LeftFocus(G)=F;Intersection(H,G)={M,N};MidPoint(LineSegmentOf(M,N)) = F",
+      "coords": {}
+    },
+    {
+      "index": 4417,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4417.png",
+      "answer": "34",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F: Point;RightFocus(G) = F;P: Point;PointOnCurve(P, LeftPart(G));A: Point;Coordinate(A) = (0, 6*sqrt(6))",
+      "coords": {
+        "A": [
+          0.0,
+          14.696938456699067
+        ]
+      }
+    },
+    {
+      "index": 4418,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4418.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y);P: Point;PointOnCurve(P, G) = True;YCoordinate(P) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4419,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4419.png",
+      "answer": "(\\sqrt{5}/5,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;A: Point;M: Point;e: Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A,G);PointOnCurve(B,G);a > b;b > 0;Coordinate(M) = (a/5, 0);Intersection(PerpendicularBisector(LineSegmentOf(A,B)), xAxis) = M;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4420,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4420.png",
+      "answer": "sqrt(3) + 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;O: Origin;L: Line;PointOnCurve(O, L);Inclination(L) = pi/3;P: Point;Q: Point;Intersection(L, LeftPart(G)) = P;Intersection(L, RightPart(G)) = Q;H: Circle;IsDiameter(LineSegmentOf(P, Q), H);PointOnCurve(F, H);RightFocus(G) = F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 4421,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4421.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F2),VectorOf(P, F1));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4422,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4422.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;E: Point;O: Origin;F: Point;Expression(G) = (x^2/2 - y^2/2 = 1);OneOf(Focus(G)) = F;L:Line;PointOnCurve(F,L);IsPerpendicular(OneOf(Asymptote(G)),L);FootPoint(OneOf(Asymptote(G)),L)=E",
+      "coords": {}
+    },
+    {
+      "index": 4423,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4423.png",
+      "answer": "(1,\\sqrt{2})",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;H: Line;PointOnCurve(RightFocus(G), H) = True;Inclination(H) = ApplyUnit(45, degree);NumIntersection(H, RightPart(G)) = 2;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4424,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4424.png",
+      "answer": "(2, -3)",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Expression(H) = (x - 2*y - 12 = 0);PointOnCurve(P, G);WhenMin(Distance(P,H))",
+      "coords": {}
+    },
+    {
+      "index": 4425,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4425.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;x0:Number;y0:Number;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(P) = (x0, y0);PointOnCurve(P, G);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 4426,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4427,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4428,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4428.png",
+      "answer": "3/4",
+      "fact_expr": "F1: Point;F2: Point;C: Hyperbola;Expression(C) = (x^2 - y^2 = 2);LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4429,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4429.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1:Point;F2: Point;O: Origin;a>0;b>0;L:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(F2,L);IsPerpendicular(L,Asymptote(G));FootPoint(L,Asymptote(G))=P;LeftFocus(G)=F1;RightFocus(G)=F2;Tan(AngleOf(P, F2, O)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 4430,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4430.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4431,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4431.png",
+      "answer": "x**2/3-y**2=1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;F: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;IsDiameter(LineSegmentOf(O,F),G);Intersection(G,OneOf(Asymptote(C)))=A;sqrt(3)*Abs(LineSegmentOf(O, F)) = 2*Abs(LineSegmentOf(O, A));Distance(F,l) = 1;l: Line;OneOf(Asymptote(C)) = l",
+      "coords": {}
+    },
+    {
+      "index": 4432,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4432.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;F: Point;Expression(C) = (x^2/4 + y^2/3 = 1);RightFocus(C)=F;Coordinate(A) = (2, 4);PointOnCurve(P, C)",
+      "coords": {
+        "A": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 4433,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4433.png",
+      "answer": "y=pm*4*x/3\ny^2=20*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/9 - y^2/16 = 1);G: Parabola;Focus(G) = RightFocus(C)",
+      "coords": {}
+    },
+    {
+      "index": 4434,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4434.png",
+      "answer": "(-oo, 0) + [1, +oo)",
+      "fact_expr": "G: Parabola;H: Curve;a: Real;Expression(G) = (y^2 = 4*x);Expression(H) = And(x^2/a + y^2/4 = 1, y>=0);NumIntersection(Directrix(G), H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4435,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4435.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;H: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(H) = (1, 0)",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4436,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4437,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4437.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;d: Number;Expression(G) = (x^2 = 4*y);Expression(H) = (y = -1);Coordinate(A) = (2, 0);PointOnCurve(P, G);Distance(P, H) = d",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4438,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4438.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;lambda:Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(F1, F2)) = b^2/a;Incenter(TriangleOf(P,F1,F2))=I;lambda*Area(TriangleOf(I,P,F1))=lambda*Area(TriangleOf(I,P,F2))+Area(TriangleOf(I,F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 4439,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4440,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4440.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;B: Point;F: Point;A: Point;a>0;b>0;OneOf(Focus(G))=F;OneOf(Endpoint(ImageinaryAxis(G)))=B;Intersection(LineSegmentOf(B,F),OneOf(Asymptote(G))) = A;VectorOf(F, A) = 2*VectorOf(A, B)",
+      "coords": {}
+    },
+    {
+      "index": 4441,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4441.png",
+      "answer": "7;3*sqrt(15)/4-1",
+      "fact_expr": "G: Ellipse;H: Circle;A: Point;B: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Expression(H) = (y^2 + (x - 1)^2 = 1);PointOnCurve(A, G);PointOnCurve(B, H)",
+      "coords": {}
+    },
+    {
+      "index": 4442,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4442.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 4443,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4444,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4444.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=2*a",
+      "coords": {}
+    },
+    {
+      "index": 4445,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4445.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;A: Point;F: Point;Expression(G) = (x^2/9 - y^2/7 = 1);RightVertex(G) = A;RightFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 4446,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4447,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4447.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b<0;A: Point;RightVertex(C) = A;F: Point;RightFocus(C) = F;Intersection(LeftDirectrix(C), xAxis) = B;B: Point;MidPoint(LineSegmentOf(B, F)) = A",
+      "coords": {}
+    },
+    {
+      "index": 4448,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4448.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;P: Point;A: Point;B: Point;Expression(C) = (x^2 = 4*y);PointOnCurve(P,Directrix(C));TangentOfPoint(P,C)={LineOf(P,A),LineOf(P,B)};TangentPoint(LineOf(P,A),C)=A;TangentPoint(LineOf(P,B),C)=B",
+      "coords": {}
+    },
+    {
+      "index": 4449,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4449.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;L1: Line;L2: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Asymptote(G) = {L1, L2};IsPerpendicular(L1, L2)",
+      "coords": {}
+    },
+    {
+      "index": 4450,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4450.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4451,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4451.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4452,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4452.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;c: Number;G: Circle;P: Point;Q: Point;N: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;FocalLength(C) = 2*c;A: Point;RightVertex(C) = A;Center(G) = A;Radius(G) = (a + c)/2;PointOnCurve(F1, l);TangentPoint(G, l) = N;Intersection(l, C) = {P, Q};VectorOf(P, Q) = 2*VectorOf(P, N)",
+      "coords": {}
+    },
+    {
+      "index": 4453,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -3.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4453.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = a*x^2);a: Number;a>0;l: Line;Directrix(G) = l;C: Circle;Expression(C) = (y^2 + (x - 3)^2 = 1);Length(InterceptChord(l,C)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4454,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4455,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4455.png",
+      "answer": "(2,4)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y = x^2);Expression(H) = (y = 4*x - 5);IsParallel(TangentOnPoint(P, G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4456,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4457,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4457.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H: Line;A: Point;F: Point;M: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x = -p/2);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Intersection(l, H) = M;VectorOf(A, F) = VectorOf(F, M) ;Abs(LineSegmentOf(A, B)) = 16/3",
+      "coords": {}
+    },
+    {
+      "index": 4458,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4458.png",
+      "answer": "2",
+      "fact_expr": "G: Line;Expression(G) = (y = b);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Intersection(G,OneOf(Asymptote(C))) = P;P: Point;LeftVertex(C) = A1;RightVertex(C) = A2;A1: Point;A2: Point;F: Point;LeftFocus(C) = F;Abs(LineSegmentOf(P, F)) = Abs(LineSegmentOf(A1, A2))",
+      "coords": {}
+    },
+    {
+      "index": 4459,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4459.png",
+      "answer": "17",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;LeftFocus(G) = F1;P: Point;PointOnCurve(P, G) = True;H: Circle;Expression(H) = (x^2 + (y - 2*sqrt(5))^2 = 1);M: Point;PointOnCurve(M, H) = True",
+      "coords": {}
+    },
+    {
+      "index": 4460,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4460.png",
+      "answer": "10/3",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;F: Point;B: Point;L1:Line;L2:Line;Expression(G) = (x^2/9 - y^2/16 = 1);RightVertex(G)=A;RightFocus(G)=F;PointOnCurve(F, H);OneOf(Asymptote(G)) = L1;OneOf(Asymptote(G)) = L2;Negation(L1 = L2);IsParallel(L1,H);Intersection(H,L2) = B",
+      "coords": {}
+    },
+    {
+      "index": 4461,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4461.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "F: Point;A: Point;G: Parabola;p: Number;M: Point;l: Line;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (0, 2);Directrix(G)=l;Focus(G) = F;Intersection(LineSegmentOf(F, A), G) = B;L:Line;IsPerpendicular(l,L);PointOnCurve(B,L);FootPoint(l,L)=M;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(M, F))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4462,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4463,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4464,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4464.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 4);F: Point;RightFocus(G) = F;H: Line;PointOnCurve(F, H);Inclination(H) = ApplyUnit(105, degree);P: Point;Q: Point;Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 4465,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4465.png",
+      "answer": "25/8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;C: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};XCoordinate(A) = 4;L:Line;PointOnCurve(A,L);PointOnCurve(Vertex(G),L);Intersection(L,Directrix(G))=C",
+      "coords": {}
+    },
+    {
+      "index": 4466,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4466.png",
+      "answer": "2*x-y-15=0",
+      "fact_expr": "P: Point;G: Hyperbola;A: Point;B: Point;H: Line;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(P) = (8, 1);PointOnCurve(P, H) = True;Intersection(H, G) = {A , B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          8.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4467,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4467.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;F: Point;M: Point;A: Point;O:Origin;Coordinate(F) = (0, 1);Coordinate(M) = (-1, 4);Vertex(G)=O;Focus(G)=F;PointOnCurve(A,G)",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ],
+        "M": [
+          -1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 4468,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4468.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;p: Number;A: Point;F: Point;D: Point;B: Point;p>0;Intersection(l,C)={A,B};Intersection(l,Directrix(C))=D;PointOnCurve(F, l);Abs(LineSegmentOf(A, F)) = 6;VectorOf(D, B) = 2*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 4469,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4469.png",
+      "answer": "(\\sqrt{17}/4, +\\infty)",
+      "fact_expr": "t: Number;P: Point;Coordinate(P) = (2, t);G: Parabola;Expression(G) = (x^2 = 4*y);PointOnCurve(P, G);M: Point;N: Point;PointOnCurve(M, G);PointOnCurve(N, G);Negation(M=P);Negation(N=P);Slope(LineOf(P, M))+Slope(LineOf(P, N)) = 3/2;Q: Point;MidPoint(LineSegmentOf(M, N)) = Q;d: Number;O: Origin;Distance(Q, O) = d",
+      "coords": {}
+    },
+    {
+      "index": 4470,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4470.png",
+      "answer": "{x^2/20-y^2/16=1, y^2/16-x^2/20=1}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1);C: Hyperbola;Asymptote(C) = Asymptote(G);FocalLength(C) = 12",
+      "coords": {}
+    },
+    {
+      "index": 4471,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4472,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4472.png",
+      "answer": "{5*sqrt(5)/11,sqrt(5)}",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = ((x - 4)^2 + (y - 3)^2 = 5);IsTangent(OneOf(Asymptote(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 4473,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4473.png",
+      "answer": "(pm*sqrt(3), 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4474,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_4474.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;C2: Hyperbola;Expression(C2) = (y^2/m^2 - x^2/n^2 = 1);m: Number;n: Number;m>0;n>0;Asymptote(C1) = Asymptote(C2);Eccentricity(C1) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 4475,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4475.png",
+      "answer": "(x^2/4+3*y^2/4=1)&Negation(x=pm*2)",
+      "fact_expr": "P: Point;A: Point;B: Point;x1:Number;y1:Number;Coordinate(P) = (x1, y1);Coordinate(A) = (-2, 0);Coordinate(B) = (2, 0);Slope(LineSegmentOf(P,A))*Slope(LineSegmentOf(P,B))=-1/3",
+      "coords": {}
+    },
+    {
+      "index": 4476,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4476.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;F: Point;A: Point;B: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);Negation(A = O);Negation(B = O);Negation(A = B);Abs(VectorOf(F, A)) + Abs(VectorOf(F, B)) + Abs(VectorOf(F, O)) = 12;VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, O) = 0",
+      "coords": {}
+    },
+    {
+      "index": 4477,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_4477.png",
+      "answer": "{(-\u221e,-\u221a(2)], [\u221a(2),+\u221e)}",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Curve;k: Real;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y*(-k*x + y) = 0);Eccentricity(C) = sqrt(3);NumIntersection(G,C)=2",
+      "coords": {}
+    },
+    {
+      "index": 4478,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4479,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4479.png",
+      "answer": "-2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;PointOnCurve(Focus(C), l);A: Point;B: Point;Intersection(l, C) = {A, B};H: Circle;IsDiameter(LineSegmentOf(A, B), H);M: Point;Coordinate(M) = (-1, -1);Intersection(H, Directrix(C)) = M;k: Number;Slope(l) = k",
+      "coords": {
+        "M": [
+          -1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 4480,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4480.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "l: Line;C: Ellipse;G: Circle;A: Point;B: Point;F: Point;O:Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(C)) = F;PointOnCurve(F, l);IsPerpendicular(l,xAxis);Intersection(l, C) = {A, B};IsDiameter(LineSegmentOf(A, B), G);PointOnCurve(O, G);a:Number;b:Number",
+      "coords": {}
+    },
+    {
+      "index": 4481,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4482,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4482.png",
+      "answer": "6*sqrt(3)",
+      "fact_expr": "C: Parabola;G: Line;M: Point;N:Point;F: Point;P: Point;Q: Point;Expression(C) = (y^2 = 6*x);Focus(C)=F;PointOnCurve(F, G);Slope(G) = sqrt(3);Intersection(G, C) = {P, Q};Projection(P,Directrix(C))=M;Projection(Q,Directrix(C))=N",
+      "coords": {}
+    },
+    {
+      "index": 4483,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4483.png",
+      "answer": "13/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, B)) = 15;MidPoint(LineSegmentOf(A, B)) = M;XCoordinate(M)=x0;x0:Number",
+      "coords": {}
+    },
+    {
+      "index": 4484,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4484.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (2, 0);PointOnCurve(P, H);Intersection(H, G) = {A, B};Focus(G) = F",
+      "coords": {
+        "P": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4485,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4485.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);M: Point;PointOnCurve(M, G);H: Circle;Expression(H) = (x^2 + y^2 = 2);L1: Line;L2: Line;TangentOfPoint(M, H) = {L1, L2};A: Point;B: Point;TangentPoint(L1, H) = A;TangentPoint(L2, H) = B;l: Line;PointOnCurve(A, l);PointOnCurve(B, l);P: Point;Intersection(l, xAxis) = P;Q: Point;Intersection(l, yAxis) = Q;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 4486,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4486.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;A: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(A, G);OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1 = F2);Distance(A, F1) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4487,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4487.png",
+      "answer": "3*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2 = 1);M: Point;PointOnCurve(M, G) = True;l: Line;Expression(l) = (x - y - 8 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 4488,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4488.png",
+      "answer": "(2*sqrt(3)/3, +oo)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 1);NumIntersection(Asymptote(C), G)=0",
+      "coords": {}
+    },
+    {
+      "index": 4489,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4489.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;A: Point;K: Point;F: Point;O: Origin;Expression(C) = (y^2 = 8*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = K;PointOnCurve(A, C);Abs(LineSegmentOf(A, K)) = sqrt(2)*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 4490,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_4490.png",
+      "answer": "(\\sqrt{6}, 0)",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4491,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4491.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);Asymptote(G) = Asymptote(H);PointOnCurve(Focus(H), yAxis);H: Hyperbola",
+      "coords": {}
+    },
+    {
+      "index": 4492,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4492.png",
+      "answer": "12/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);d1: Number;Distance(P, Directrix(G)) = d1;H: Line;Expression(H) = (3*x - 4*y + 9 = 0);d2: Number;Distance(P, H) = d2",
+      "coords": {}
+    },
+    {
+      "index": 4493,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4494,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4494.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 8);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 4495,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4496,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4496.png",
+      "answer": "8",
+      "fact_expr": "P: Point;A: Point;B: Point;l: Line;F:Point;C: Ellipse;Expression(C) = (x^2/4 + y^2/2 = 1);RightFocus(C)=F;PointOnCurve(F,l);Slope(l)=1;Intersection(l,C)={A,B};Intersection(RightDirectrix(C),xAxis)=P;Slope(LineOf(P,A))=k1;Slope(LineOf(P,B))=k2;k1:Number;k2:Number",
+      "coords": {}
+    },
+    {
+      "index": 4497,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4497.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (y^2/16 - x^2/m = 1);Eccentricity(G) = e;e = 2;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 4498,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4499,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4499.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Expression(H) = (x + 2*y - 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H);H: Line",
+      "coords": {}
+    },
+    {
+      "index": 4500,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4500.png",
+      "answer": "(5/4)*p^2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;K: Point;Intersection(Directrix(G), xAxis) = K;l: Line;PointOnCurve(K, l);A: Point;B: Point;Intersection(l, G) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 4501,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4501.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "C: Parabola;M: Point;F: Point;P: Point;N: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, C);Quadrant(P)=1;IsPerpendicular(LineSegmentOf(P,M),l);FootPoint(LineSegmentOf(P,M),l)=M;Intersection(LineSegmentOf(M,F), C) = N;Slope(LineSegmentOf(P, F)) = 3/4",
+      "coords": {}
+    },
+    {
+      "index": 4502,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4502.png",
+      "answer": "(6-4*sqrt(2),6+4*sqrt(2))",
+      "fact_expr": "C: Parabola;G: Line;k: Real;m:Number;A: Point;F: Point;B: Point;Expression(C) = (x^2 = 8*y);Expression(G) = (y = k*x + m);Focus(C) = F;Intersection(G, C) = {A, B};AngleOf(A,F,B)>ApplyUnit(90,degree)",
+      "coords": {}
+    },
+    {
+      "index": 4503,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4504,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4505,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4506,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4506.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;M: Point;P: Point;N: Point;Expression(C) = (y^2 = 3*x);Coordinate(M) = (2, 0);Coordinate(N)=(3, 0);PointOnCurve(P, C)",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ],
+        "N": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4507,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7001950144767761,
+        "b": 2.7117252349853516,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.1445769132478745e-06,
+        "converged": true,
+        "iterations": 350
+      },
+      "output_path": "results/train/hyperbola/problem_4507.png",
+      "answer": "x^2 - y^2/15 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4508,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4508.png",
+      "answer": "8*sqrt(3)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G) = True;Q: Point;Coordinate(Q) = (9, 0);Abs(LineSegmentOf(Q, F)) = 2*Abs(LineSegmentOf(P, F))",
+      "coords": {
+        "Q": [
+          9.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4509,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5002657771110535,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 8.410525879298802e-06,
+        "converged": true,
+        "iterations": 102
+      },
+      "output_path": "results/train/parabola/problem_4509.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;p: Number;M: Point;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (2, 2);PointOnCurve(M, G)",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4510,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4511,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4511.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;M: Point;P: Point;F: Point;Expression(G) = (x^2/2 - y^2 = 1/3);p>0;Expression(H) = (y^2 = 2*(p*x));Coordinate(M) = (-1, 0);Focus(H) = F;OneOf(Focus(G)) = F;Focus(H) = OneOf(Focus(G));PointOnCurve(P, H)",
+      "coords": {
+        "M": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4512,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4513,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4514,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4514.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (-2, 0)",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4515,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4515.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;A: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = ((-1)*2, 3);Distance(A, Focus(G))=5",
+      "coords": {
+        "A": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 4516,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4516.png",
+      "answer": "3*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);F:Point;RightFocus(C)=F;Distance(F,Asymptote(C))=2;Eccentricity(C) = e;O:Origin;Distance(F,O)=3",
+      "coords": {}
+    },
+    {
+      "index": 4517,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4517.png",
+      "answer": "pm*sqrt(3)/2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (x^2 = y);PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4518,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4518.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;Expression(l) = (y = 2*x + b);b: Number;C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;Length(InterceptChord(l, C)) = 5;PointOnCurve(Focus(C), l);M: Point;PointOnCurve(M, C);N: Point;Coordinate(N) = (3, 0)",
+      "coords": {
+        "N": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4519,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4519.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;a:Number;b:Number;a>b;b>0;M: Point;F1: Point;N: Point;F2: Point;Expression(C)=(x^2/a^2 +y^2/b^2=1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(M,C);IsPerpendicular(LineSegmentOf(M,F2),xAxis);Intersection(LineOf(M,F1),C)={M,N};Slope(LineOf(M,N)) = 3/4",
+      "coords": {}
+    },
+    {
+      "index": 4520,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4520.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Distance(F2, Asymptote(G)) = 2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4521,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4521.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F, l);Intersection(l, Asymptote(G)) = {A, B};IsPerpendicular(l,OneOf(Asymptote(G)));VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 4522,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4522.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;F: Point;Expression(C) = (x^2/9 - y^2/16 = 1);OneOf(Focus(C)) = F",
+      "coords": {}
+    },
+    {
+      "index": 4523,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4524,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4524.png",
+      "answer": "8+sqrt(5)",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;E: Point;PointOnCurve(E, G);N: Point;Coordinate(N) = (5, 1)",
+      "coords": {
+        "N": [
+          5.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4525,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4526.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;O: Origin;Expression(G) = (x^2 = 8*y);Focus(G) = F;PointOnCurve(P, Directrix(G));PointOnCurve(A, G);Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4527,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4527.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/12 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4528.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A:Point;XCoordinate(A) = 1;PointOnCurve(A,G) = True;Distance(A,Vertex(G)) = Distance(A,Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 4529,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4529.png",
+      "answer": "sqrt(17)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (0, 2)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4530,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4531,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4531.png",
+      "answer": "13",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);M: Point;PointOnCurve(M, G);Distance(M, F1) = 7",
+      "coords": {}
+    },
+    {
+      "index": 4532,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4532.png",
+      "answer": "sqrt(10)-1",
+      "fact_expr": "G: Parabola;A: Point;P:Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 3);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 4533,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4533.png",
+      "answer": "x^2/16+y^2/25=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = -1);H: Ellipse;Focus(G) = Focus(H);Eccentricity(H) = 0.6",
+      "coords": {}
+    },
+    {
+      "index": 4534,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4534.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4535,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4535.png",
+      "answer": "y=pm*(4/3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Distance(RightFocus(C),OneOf(Asymptote(C)))=4;FocalLength(C) = 10",
+      "coords": {}
+    },
+    {
+      "index": 4536,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4536.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*(2*x))",
+      "coords": {}
+    },
+    {
+      "index": 4537,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4537.png",
+      "answer": "3",
+      "fact_expr": "P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);PointOnCurve(P, G);G: Parabola;Expression(G) = (y^2 = 4*x);H: Circle;Expression(H) = ((x + 2)^2 + (y - 4)^2 = 1);Q: Point;PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 4538,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4539,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4540,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4540.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;l: Line;PointOnCurve(F, l);Slope(l) = 1/2;A: Point;B: Point;Intersection(l, C) = {A, B};O: Origin;Abs(LineSegmentOf(O, F)) = Abs(LineSegmentOf(O, A))",
+      "coords": {}
+    },
+    {
+      "index": 4541,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4541.png",
+      "answer": "10/3",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(60, degree);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4542,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 8.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4542.png",
+      "answer": "27",
+      "fact_expr": "P: Point;C: Hyperbola;Expression(C) = (x^2/36 - y^2/64 = 1);PointOnCurve(P, C) = True;A: Point;Coordinate(A) = (-10, 0);B: Point;Coordinate(B) = (10, 0);Abs(LineSegmentOf(P, A)) = 15",
+      "coords": {
+        "A": [
+          -10.0,
+          0.0
+        ],
+        "B": [
+          10.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4543,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4543.png",
+      "answer": "x^2 - y^2 / 3 = 1  \ny = pm * sqrt(3) * x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;RightFocus(G) = Focus(H);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4544,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4544.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 10*x)",
+      "coords": {}
+    },
+    {
+      "index": 4545,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4546,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4546.png",
+      "answer": "y=pm*x/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/36 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4547,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4547.png",
+      "answer": "sqrt(85)/5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;P: Point;F: Point;Q: Point;O:Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(O,G);Intersection(G, C) = {P, Q};Negation(P=Q);OneOf(Focus(C)) = F;Tan(AngleOf(P, F, Q)) = 4/3;Abs(LineSegmentOf(Q, F)) = 3*Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 4548,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.2628633975982666,
+        "b": 1.8162860737044515,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.6997004191253788e-06,
+        "converged": true,
+        "iterations": 101
+      },
+      "output_path": "results/train/ellipse/problem_4548.png",
+      "answer": "sqrt(5)+2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;Coordinate(A) = (1, 2);PointOnCurve(A,C) = True",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 4549,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4549.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;F: Point;P: Point;Q: Point;l: Line;Expression(C) = (y^2 = 8*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P,F),C))=Q;VectorOf(F, P) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 4550,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4550.png",
+      "answer": "(7/4, pm*sqrt(7)/2)",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = x);PointOnCurve(P, G);Distance(P, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4551,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4551.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 32",
+      "coords": {}
+    },
+    {
+      "index": 4552,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4552.png",
+      "answer": "y^2/100 - x^2/25 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;FocalLength(C) = 10*sqrt(5);P: Point;Coordinate(P) = (1, 2);PointOnCurve(P, Asymptote(C))",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4553,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4553.png",
+      "answer": "[2,+oo)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;PointOnCurve(F, H) = True;Inclination(H) = ApplyUnit(60, degree);H: Line;NumIntersection(H, RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4554,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4555,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4555.png",
+      "answer": "x^2/4 + y^2 = 1",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Distance(LeftFocus(G), RightDirectrix(G)) = 7*sqrt(3)/3;Distance(Center(G), Directrix(G)) = 4*sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 4556,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4556.png",
+      "answer": "(1, \\sqrt{2}+1)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;a>0;b>0;c:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G);Sin(AngleOf(P,F1,F2))/Sin(AngleOf(P,F2,F1))=a/c",
+      "coords": {}
+    },
+    {
+      "index": 4557,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4557.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;M: Point;A: Point;B: Point;O: Origin;P: Point;Q: Point;Expression(C) = (x^2/4 - y^2/3 = 1);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(M, C);Negation(M = A);Negation(M = B);Intersection(LineOf(A, M),yAxis)=P;Intersection(LineOf(B, M), yAxis) = Q",
+      "coords": {}
+    },
+    {
+      "index": 4558,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4558.png",
+      "answer": "-1",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;C: Point;O: Origin;D: Point;E: Point;F: Point;Expression(G) = (x^2 - y^2/8 = 1);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = F;k1: Number;k2: Number;k3: Number;Slope(LineSegmentOf(O, F)) = k3;Slope(LineSegmentOf(O, D)) = k1;Slope(LineSegmentOf(O, E)) = k2;k1 + k2 + k3 = -8;Negation(k1 = 0);Negation(k2 = 0);Negation(k3 = 0);k4: Number;k5: Number;k6: Number;Slope(LineSegmentOf(A, B)) = k4;Slope(LineSegmentOf(B, C)) = k5;Slope(LineSegmentOf(A, C)) = k6",
+      "coords": {}
+    },
+    {
+      "index": 4559,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4560,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.552875593585339,
+        "b": 2.3303634978370953,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3057248743840209e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/train/hyperbola/problem_4560.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;PointOnCurve(Focus(G), xAxis);Expression(Asymptote(G)) = (y = pm*(3/2)*x);Length(ImageinaryAxis(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 4561,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4561.png",
+      "answer": "sqrt(5)-1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);l1:Line;l2:Line;O:Origin;PointOnCurve(O,l1);PointOnCurve(O,l2);Slope(l1)>0;Slope(l2)>0;Inclination(l2)=2*Inclination(l1);OneOf(Asymptote(C))=l2;RightFocus(C)=F;L:Line;PointOnCurve(F,L);IsPerpendicular(l1,L);FootPoint(l1,L)=M;PointOnCurve(M,C);M:Point;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 4562,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4562.png",
+      "answer": "{(y^2=16*x), (x^2=-12*y)}",
+      "fact_expr": "G: Parabola;Vertex(G) = O;O: Origin;SymmetryAxis(G) = axis;H: Line;Expression(H) = (3*x - 4*y - 12 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4563,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4564,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4565,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4565.png",
+      "answer": "[3/8, 3/4]",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A1: Point;A2: Point;LeftVertex(C) = A1;RightVertex(C) = A2;P: Point;PointOnCurve(P, C);Range(Slope(LineOf(P, A2))) = [-2, -1]",
+      "coords": {}
+    },
+    {
+      "index": 4566,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4566.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4567,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4568,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.1503682136535645,
+        "b": 2.5736796855926514,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.191216132516274e-06,
+        "converged": true,
+        "iterations": 118
+      },
+      "output_path": "results/train/hyperbola/problem_4568.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/3 + x^2/a^2 = 1);a: Number;Eccentricity(G) = sqrt(6)/2;H: Circle;Expression(H) = (y^2 + (x - 6)^2 = r^2);r: Number;r>0;IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4569,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4569.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4570,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4570.png",
+      "answer": "((x - 1/2)^2 + y^2 = 1/4)&(0 < x <= 1)",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x - 1)^2 = 1);O: Origin;H: LineSegment;PointOnCurve(O,H);IsChordOf(H,C)",
+      "coords": {}
+    },
+    {
+      "index": 4571,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          -3.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4571.png",
+      "answer": "{(y^2+x^2+3*y=0)&(5/3<x<=3)}",
+      "fact_expr": "G: Circle;H: Line;A: Point;B: Point;O:Origin;Expression(G) = (6*y + x^2 + y^2 + 5 = 0);PointOnCurve(O,H);Intersection(H,G)={A,B};IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=M;M:Point",
+      "coords": {}
+    },
+    {
+      "index": 4572,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4573,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4574,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4574.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 4575,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.820299506187439,
+        "b": 1.6536897822836507,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.2588495006847936e-06,
+        "converged": true,
+        "iterations": 97
+      },
+      "output_path": "results/train/ellipse/problem_4575.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;P: Point;Coordinate(P) = (0, sqrt(3));PointOnCurve(P,C);Length(MajorAxis(C)) = 2 * FocalLength(C)",
+      "coords": {
+        "P": [
+          0.0,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 4576,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4577,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4577.png",
+      "answer": "y=pm*4*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;O: Origin;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, C);Abs(LineSegmentOf(M, O)) = Abs(LineSegmentOf(O, F1));Area(TriangleOf(M, O, F1)) = 2*a*b",
+      "coords": {}
+    },
+    {
+      "index": 4578,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4578.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F: Point;LeftFocus(G) = F;H: Line;Expression(H) = (x = m);m: Number;Intersection(H, G) = {A, B};A: Point;B: Point;WhenMax(Perimeter(TriangleOf(F, A, B)))",
+      "coords": {}
+    },
+    {
+      "index": 4579,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4580,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4580.png",
+      "answer": "y^2 = pm*20*x",
+      "fact_expr": "G: Parabola;H: Ellipse;O: Origin;Expression(H) = (x^2/9 + y^2/16 = 1);Vertex(G) = O;SymmetryAxis(G)=OverlappingLine(MinorAxis(H));Distance(Focus(G),Vertex(G))=5",
+      "coords": {}
+    },
+    {
+      "index": 4581,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4581.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 3;x1: Number;XCoordinate(M) = x1",
+      "coords": {}
+    },
+    {
+      "index": 4582,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4582.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Curve;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/b^2 + y^2/a^2 = 1);L:Line;PointOnCurve(OneOf(Focus(G)),L);IsPerpendicular(OneOf(Asymptote(G)),L);PointOnCurve(FootPoint(OneOf(Asymptote(G)),L),H)",
+      "coords": {}
+    },
+    {
+      "index": 4583,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4584,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4584.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2);F: Point;Focus(G) = F;M: Point;N: Point;PointOnCurve(M, G);PointOnCurve(N, G);Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 17/4",
+      "coords": {}
+    },
+    {
+      "index": 4585,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4585.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;m: Number;F: Point;P: Point;m>3;Expression(G) = (y^2/3 + x^2/m = 1);OneOf(Focus(G)) = F;PointOnCurve(P, G);Max(Distance(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4586,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4587,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4587.png",
+      "answer": "x+y-1=0",
+      "fact_expr": "l: Line;C: Ellipse;M: Point;A: Point;B: Point;F1: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Coordinate(M) = (0, 1);PointOnCurve(M, l);Intersection(l, C) = {A, B};LeftFocus(C)=F1;WhenMax(Perimeter(TriangleOf(A,B,F1)))",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4588,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4588.png",
+      "answer": "sqrt(15)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;O: Origin;M: Point;Expression(G) = (x^2/9 + y^2/5 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(P,F1))=M;Abs(LineSegmentOf(O,F2))=Abs(LineSegmentOf(O,M))",
+      "coords": {}
+    },
+    {
+      "index": 4589,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4589.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (x^2 = 8*y);PointOnCurve(P, G) = True;A: Point;Coordinate(A) = (4, 0);H: Line;Expression(H) = (y = -2)",
+      "coords": {
+        "A": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4590,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4591,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4591.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);Intersection(l, C) = {A, B};A: Point;B: Point;Intersection(TangentOnPoint(A,C),xAxis) = M;Intersection(TangentOnPoint(A,C),yAxis) = N;M: Point;O: Origin;N: Point;Area(TriangleOf(M, O, N)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 4592,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4593,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4594,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4594.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4595,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4595.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;IsChordOf(LineSegmentOf(A, B), G);Inclination(LineSegmentOf(A, B)) = ApplyUnit(45, degree);PointOnCurve(F, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 4596,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 9.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4596.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/81 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4597,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4597.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (1, 0);Distance(P, OneOf(Asymptote(C))) = 1/2",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4598,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4599,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4599.png",
+      "answer": "[2*sqrt(2), 4)",
+      "fact_expr": "T: Parabola;C: Circle;l1: Line;l2: Line;P: Point;Q: Point;M: Point;Expression(T) = (y^2 = 4*x);Expression(C) = (y^2 + (x - 3)^2 = 4);PointOnCurve(M, T);TangentOfPoint(M, C) = {l1, l2};TangentPoint(l1, C) = P;TangentPoint(l2, C) = Q",
+      "coords": {}
+    },
+    {
+      "index": 4600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4600.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "H: Line;Expression(H) = (y = x - 1);G: Parabola;Expression(G) = (y^2 = 4*x);Intersection(H,G) = {A,B};A: Point;B: Point;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 4601,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4602,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4602.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4603,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4603.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Slope(H)=-2;Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 4604,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4604.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;G: Parabola;Expression(G) = (y^2 = 2*x);Focus(G) = F;F: Point;IsChordOf(LineSegmentOf(A, B), G) = True;PointOnCurve(F, LineSegmentOf(A, B)) = True;Abs(LineSegmentOf(A, B)) = 4;C: Point;MidPoint(LineSegmentOf(A, B)) = C;H: Line;Expression(H) = (x + 1/2 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 4605,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4605.png",
+      "answer": "16/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G);d1: Number;d2: Number;H: Line;Expression(H) = (4*x + 3*y + 8 = 0);Distance(P, Directrix(G)) = d1;Distance(P, H) = d2",
+      "coords": {}
+    },
+    {
+      "index": 4606,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4606.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = 2;G: Parabola;Expression(G) = (y^2 = 16*x);RightFocus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4607,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4607.png",
+      "answer": "8",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;Directrix(H) = l;G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);Z1: Line;Z2: Line;Asymptote(G) = {Z1, Z2};A: Point;Intersection(l, Z1) = A;B: Point;Intersection(l, Z2) = B;Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4608,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4608.png",
+      "answer": "pm*1",
+      "fact_expr": "C: Parabola;P: Point;A: Point;F: Point;t:Number;Expression(C) = (x^2 = 8*y);Intersection(Directrix(C), yAxis) = A;Focus(C) = F;PointOnCurve(P, C);t=Abs(LineSegmentOf(P,A))/Abs(LineSegmentOf(P,F));WhenMax(t)",
+      "coords": {}
+    },
+    {
+      "index": 4609,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4609.png",
+      "answer": "16.5",
+      "fact_expr": "G: Hyperbola;H: Point;P: Point;D:Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(H) = (5, 0);Coordinate(D)=(-5,0);PointOnCurve(P, G);Distance(P, H) = 8.5",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ],
+        "D": [
+          -5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4610,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4610.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;k:Number;Expression(G) = (y^2 = 4*x);Expression(H) = (y = k*(x - 1));Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 16/3",
+      "coords": {}
+    },
+    {
+      "index": 4611,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4611.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);Intersection(Directrix(G), xAxis) = P;P: Point;PointOnCurve(P, H);Slope(H) = k;k: Number;k>0;H: Line;Intersection(H, G) = {A, B};B: Point;A: Point;Focus(G) = F;F: Point;Abs(LineSegmentOf(F, A)) = 3*Abs(LineSegmentOf(F, B));Slope(LineOf(A, B)) = k",
+      "coords": {}
+    },
+    {
+      "index": 4612,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4612.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;b>0;Expression(G) = (x^2 - y^2/b^2 = 1);Expression(H) = (y^2 = 8*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4613,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4613.png",
+      "answer": "y^2 = - 20*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/16 - y^2/9 = 1);Center(G) = Vertex(H);LeftFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4614,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4614.png",
+      "answer": "sqrt(85)/5",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;B: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F2;PointOnCurve(F2, l);Intersection(l, RightPart(C)) = {A, B};IsChordOf(LineSegmentOf(A, B), C);Abs(LineSegmentOf(A, B)) = 5*a;2*Abs(LineSegmentOf(B, F2)) = 3*Abs(LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4615,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4615.png",
+      "answer": "64*pi",
+      "fact_expr": "G: Hyperbola;H: Circle;O: Origin;N: Point;F1: Point;P: Point;M: Point;F2: Point;lambda:Number;lambda>0;mu:Number;Expression(G) = (x^2/16 - y^2/8 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;VectorOf(F1, P) = lambda*VectorOf(P, M);VectorOf(P,N)=mu*(VectorOf(P,M)/Abs(VectorOf(P,M))+VectorOf(P,F2)/Abs(VectorOf(P,F2)));Abs(VectorOf(P, F2)) = 4;DotProduct(VectorOf(P,N),VectorOf(F2,N))=0;Center(H)=O;Radius(H)=LineSegmentOf(O,N)",
+      "coords": {}
+    },
+    {
+      "index": 4616,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4616.png",
+      "answer": "x^2/2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;l:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (1, 0);FocalLength(G) = 2*sqrt(6);OneOf(Asymptote(G)) = l;Distance(H, l) = sqrt(6)/3",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4617,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4617.png",
+      "answer": "8/3",
+      "fact_expr": "G: Ellipse;M: Point;N: Point;P: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Coordinate(M) = (2, 0);Coordinate(N) = (-2, 0);PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ],
+        "N": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4618,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4618.png",
+      "answer": "9*x - 32*y + 73 = 0",
+      "fact_expr": "G: Ellipse;H: LineSegment;M: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(M) = (-1, 2);IsChordOf(H, G);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4619,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4619.png",
+      "answer": "pi/3, 2*pi/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 12*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l,C)={A,B};IsChordOf(LineSegmentOf(A,B),C);Length(LineSegmentOf(A, B)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 4620,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4620.png",
+      "answer": "(\\sqrt{5} - 1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, G);OneOf(Focus(G)) = F;IsPerpendicular(LineSegmentOf(A,F), xAxis);c: Number;Abs(LineSegmentOf(A, F)) = c;HalfFocalLength(G) = c",
+      "coords": {}
+    },
+    {
+      "index": 4621,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4621.png",
+      "answer": "y=2*x+1",
+      "fact_expr": "G: Parabola;H: LineSegment;M: Point;Expression(G) = (y^2 = -12*x);Coordinate(M) = (-2, -3);MidPoint(H)=M;IsChordOf(H,G)",
+      "coords": {
+        "M": [
+          -2.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 4622,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4623,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4623.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;F: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;RightFocus(C) = F;PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(B, F), LineSegmentOf(A, F));Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 4624,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4624.png",
+      "answer": "4/9",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;P: Point;F1: Point;F2: Point;A: Point;I: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Incenter(TriangleOf(P,F1,F2))=I;PointOnCurve(I,G);IsParallel(G,xAxis);Intersection(G,LineSegmentOf(P,F1))=A;Intersection(G,LineSegmentOf(P,F2))=B;Eccentricity(C)=e;e:Number;e=1/2",
+      "coords": {}
+    },
+    {
+      "index": 4625,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4625.png",
+      "answer": "(\\sqrt{5} - 1)/2",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;b: Number;a: Number;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (a, 0);Coordinate(B) = (0, b);Eccentricity(G) = e;O: Origin;Distance(O, LineOf(A, B)) = c ;c: Number;HalfFocalLength(G) = c",
+      "coords": {}
+    },
+    {
+      "index": 4626,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4626.png",
+      "answer": "y = (pm*sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;E: Ellipse;a1: Number;b1: Number;a1 > 0;b1 > 0;Expression(G) = (x^2/a1^2 - y^2/b1^2 = 1/2);a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = Focus(E)",
+      "coords": {}
+    },
+    {
+      "index": 4627,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4627.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;H: Parabola;O: Origin;Expression(G) = (x^2 - 2*y^2 = 8);Vertex(H) = O;Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 4628,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4628.png",
+      "answer": "4*sqrt(6)",
+      "fact_expr": "l: Line;M: Point;Coordinate(M) = (2, 0);PointOnCurve(M, l);Slope(l) = 1;G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(l, G) = {A, B}",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4629,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4630,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4630.png",
+      "answer": "{2, 2*sqrt(3)}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);F: Point;RightFocus(G) = F;P: Point;PointOnCurve(P, Asymptote(G));O: Origin;Abs(LineSegmentOf(O, P)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4631,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4631.png",
+      "answer": "-1/4",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;B:Point;k1:Number;k2:Number;Expression(G) = (x^2/8 + y^2/4 = 1);LeftVertex(G)=A;RightVertex(G)=B;PointOnCurve(P,G);Slope(LineOf(P,A))=k1;Slope(LineOf(P,B))=k2;k1=2",
+      "coords": {}
+    },
+    {
+      "index": 4632,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4632.png",
+      "answer": "y^2=2*x-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;J: Point;Coordinate(J) = (1/2, 0);PointOnCurve(J, H) ;H: Line;Intersection(H, G) = {P, Q};Q: Point;P: Point;MidPoint(LineSegmentOf(P, Q)) = M;M: Point;Negation(P=Q)",
+      "coords": {
+        "J": [
+          0.5,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4633,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4634,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4634.png",
+      "answer": "1/4",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4635,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4635.png",
+      "answer": "2",
+      "fact_expr": "l: Line;E: Parabola;p: Number;A: Point;O: Origin;B: Point;p>0;Expression(E)=(y^2=2*p*x);Focus(E)=F;PointOnCurve(F,l);Intersection(l,E)={A,B};Quadrant(A)=1;Area(TriangleOf(O,A,B))=(-3/2)*Tan(AngleOf(A,O,B));F:Point",
+      "coords": {}
+    },
+    {
+      "index": 4636,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4636.png",
+      "answer": "3*sqrt(6)",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(F,H);Intersection(H, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B);Area(TriangleOf(O,A,B))= sqrt(3)*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 4637,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 10.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4637.png",
+      "answer": "{x^2/36-y^2/64=1,y^2/64-x^2/36=1}",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(Asymptote(G)) = (y = pm*((4/3)*x));Expression(H) = (x^2 + y^2 = 100);PointOnCurve(Focus(G), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 4638,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4638.png",
+      "answer": "(2,0)",
+      "fact_expr": "G: Ellipse;H: Circle;b: Number;a: Number;Expression(G) = (x^2/9 + y^2/5 = 1);Expression(H) = ((-a + x)^2 + (-b + y)^2 = 1);Center(H)=RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4639,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4639.png",
+      "answer": "0",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (y = x - 2);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4640,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4641,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4641.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;H: Point;Expression(G) = (y^2 = 4*x);Coordinate(H) = (2, 2*sqrt(2));PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          2.8284271247461903
+        ]
+      }
+    },
+    {
+      "index": 4642,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4642.png",
+      "answer": "48*x-y-95=0",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;P: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (6, m);Coordinate(M) = (2, 1);PointOnCurve(P, C);Focus(C) = F;Distance(P, F) = 7;IsChordOf(LineSegmentOf(A,B),C);MidPoint(LineSegmentOf(A,B))=M;m:Number;M:Point",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4643,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4644,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4645,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4646,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4646.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;N: Circle;E: Point;F: Point;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(N) = (y^2 + (x - 1)^2 = 1);PointOnCurve(P, G);IsDiameter(LineSegmentOf(E, F), N)",
+      "coords": {}
+    },
+    {
+      "index": 4647,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4647.png",
+      "answer": "1/2",
+      "fact_expr": "C: Parabola;G: Line;E: Point;P: Point;Q: Point;k: Number;Expression(C) = (x^2 = 8*y);Coordinate(E) = (2, -2);PointOnCurve(Focus(C), G);Slope(G) = k;Intersection(G, C) = {P, Q};AngleOf(P, E, Q) = ApplyUnit(90, degree)",
+      "coords": {
+        "E": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 4648,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4648.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4649,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4649.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -2);PointOnCurve(P, G);Distance(P, H) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4650,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4650.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 4651,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_4651.png",
+      "answer": "x^2/5 - y^2/20 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 20*x);Eccentricity(G)=sqrt(5);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4652,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4652.png",
+      "answer": "[1/8,1/4)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);l: Line;F: Point;LeftFocus(C) = F;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};M: Point;Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = M",
+      "coords": {}
+    },
+    {
+      "index": 4653,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4653.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);LeftFocus(G) =F1;RightFocus(G)=F2;Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 4654,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4654.png",
+      "answer": "y=x",
+      "fact_expr": "G: Ellipse;Expression(G) = (4*x^2 + y^2 = 1);H: Line;Expression(H) = (y = m + x);m: Number;WhenMax(Length(InterceptChord(H, G)))",
+      "coords": {}
+    },
+    {
+      "index": 4655,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4655.png",
+      "answer": "(2,2)",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F: Point;S:Number;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);Focus(G)=F;PointOnCurve(M,G);Distance(A,F)+Distance(A,M)=Abs(LineSegmentOf(M,A))+Abs(LineSegmentOf(M,F));Abs(LineSegmentOf(M,A))+Abs(LineSegmentOf(M,F))=S;WhenMin(S)",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4656,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4656.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/36 + y^2/16 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4657,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4658,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4658.png",
+      "answer": "x^2/6 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(Focus(Z)) = (3, 0);Z: Hyperbola;Asymptote(G) = Asymptote(Z)",
+      "coords": {}
+    },
+    {
+      "index": 4659,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4659.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;H: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(H) = (0, -1);PointOnCurve(P, G)",
+      "coords": {
+        "H": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 4660,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4660.png",
+      "answer": "x = pm*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4661,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4661.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/3 + x^2/a^2 = 1);a > 1",
+      "coords": {}
+    },
+    {
+      "index": 4662,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4662.png",
+      "answer": "x = -1",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;B: Point;P: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(P) = (1, 1);Slope(l) = 2;Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4663,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4663.png",
+      "answer": "sqrt(5)+2",
+      "fact_expr": "l: Line;E: Parabola;A: Point;F: Point;B: Point;C: Point;Expression(E) = (y^2 = 4*x);Focus(E) = F;Expression(l)=(y = k*(x - 1));Intersection(l, E) = {A, B};Intersection(l,yAxis)=C;Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, C));k:Number",
+      "coords": {}
+    },
+    {
+      "index": 4664,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4665,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4665.png",
+      "answer": "x^2+(3/2)*y^2=1",
+      "fact_expr": "E: Ellipse;b: Number;G: Line;A: Point;F1: Point;B: Point;F2: Point;0 < b;b < 1;Expression(E) = (x^2 + y^2/b^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F1, G);Intersection(G, E) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(B, F1));IsPerpendicular(LineSegmentOf(A,F2),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4666,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4666.png",
+      "answer": "4/7",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F2), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4667.png",
+      "answer": "24",
+      "fact_expr": "G: Hyperbola;O: Origin;A: Point;B: Point;Expression(G) = (x^2/3 - y^2/4 = 1);PointOnCurve(A,G);PointOnCurve(B,G);Negation(A=B);IsPerpendicular(LineSegmentOf(O,A),LineSegmentOf(O,B))",
+      "coords": {}
+    },
+    {
+      "index": 4668,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4669,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4670,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4670.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;a: Number;G: Parabola;l: Line;e: Number;Expression(C) = (-y^2 + x^2/a^2 = 1);Expression(G) = (y^2 = 8*x);Directrix(G) = l;IsTangent(l, C);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 4671,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4672,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4672.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;m: Number;n: Number;Negation(m*n=0);Expression(C) = (x^2/m^2 - y^2/n^2 = 1);E: Parabola;Expression(E) = (y^2 = 8*x);RightFocus(C) = Focus(E);Eccentricity(C) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4673,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4673.png",
+      "answer": "y^2=12*(x+3)",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/4 - y^2/5 = 1);Focus(H)= Center(G);LeftFocus(G)=Vertex(H)",
+      "coords": {}
+    },
+    {
+      "index": 4674,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4674.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;A: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, LeftPart(G));Abs(LineSegmentOf(A, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4675,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4675.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;A: Point;Intersection(l, xAxis) = A;M: Point;PointOnCurve(M, C);IsPerpendicular(LineSegmentOf(M, F), xAxis);G: Circle;IsDiameter(LineSegmentOf(A, F), G);Length(InterceptChord(LineOf(A, M), G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4676,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4676.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;Expression(G) = (x^2 + 4*y^2 = 4);Coordinate(A) = (0, 1);PointOnCurve(A, G);PointOnCurve(P, G);Negation(P = A)",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4677,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4677.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin;k1: Number;k2: Number;Slope(LineOf(O, A)) = k1;Slope(LineOf(O, B)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 4678,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4679,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4680,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4680.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Origin;A: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;Quadrant(A) = 1;PointOnCurve(A, G);DotProduct(VectorOf(O, A), VectorOf(O, F)) = Abs(VectorOf(O, F))^2;Expression(LineOf(O,A)) = (y = x*(2*sqrt(3)/3))",
+      "coords": {}
+    },
+    {
+      "index": 4681,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4681.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F: Point;LeftFocus(G) = F;O: Circle;Expression(O) = (x^2 + y^2 = a^2);L1: Line;L2: Line;TangentOfPoint(F, O) = {L1, L2};A: Point;C: Point;B: Point;TangentPoint(L1, O) = A;TangentPoint(L2, O) = B;LeftVertex(G) = C;AngleOf(A, C, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4682,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4682.png",
+      "answer": "(1,3)+(3,+oo)",
+      "fact_expr": "G: Ellipse;m: Number;H: Line;Expression(G) = (y^2/3 + x^2/m = 1);Expression(H) = (y = x + 2);NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4683,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4683.png",
+      "answer": "(3/2,-6/5)",
+      "fact_expr": "J: Point;Coordinate(J) = (3, 0);PointOnCurve(J,L) = True;L: Line;Slope(L) = 4/5;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1)",
+      "coords": {
+        "J": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4684,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4685,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4685.png",
+      "answer": "x - 2*y = 0",
+      "fact_expr": "G: Parabola;H: LineSegment;A: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (4, 2);MidPoint(H) = A;IsChordOf(H, G)",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4686,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4686.png",
+      "answer": "(1,3]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(G)={F1,F2};P: Point;PointOnCurve(P,G);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4687,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4688,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4688.png",
+      "answer": "sqrt(2)/6",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Z: Point;X: Point;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2 + (y - 1)^2 = 1);Intersection(G, H) = {Z, X};Distance(Z, X) = 2*sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 4689,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4689.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "G: Hyperbola;e: Number;Expression(G) = (x^2/4 - y^2/3 = 1);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4690,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4690.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;O:Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O,G);Intersection(G,C) = {A, B};AngleOf(A,F,B)>=ApplyUnit(120,degree)",
+      "coords": {}
+    },
+    {
+      "index": 4691,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4691.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4692,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4693,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4693.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4694,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4694.png",
+      "answer": "y=pm*(4/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Expression(H) = (y^2 = 20*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4695,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4696.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Parabola;p: Number;A: Point;O: Origin;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;G: Line;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));Area(TriangleOf(A, O, B)) = 6*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 4697,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4697.png",
+      "answer": "y = -1",
+      "fact_expr": "G: Parabola;p: Number;Expression(G) = (x^2 = 2*p*y);Coordinate(Focus(G)) = (0, 1)",
+      "coords": {}
+    },
+    {
+      "index": 4698,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4698.png",
+      "answer": "x^2=(16/5)*y",
+      "fact_expr": "C: Parabola;p: Number;A: Point;P: Point;H: Point;0 < p;p < 4;Expression(C) = (x^2 = 2*(p*y));Coordinate(A) = (0, 4);Directrix(C)=l;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,H),l);FootPoint(LineSegmentOf(P,H),l)=H;Abs(LineSegmentOf(P, H)) = Abs(LineSegmentOf(P, A));AngleOf(A, P, H) = ApplyUnit(120, degree);l:Line",
+      "coords": {
+        "A": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 4699,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4699.png",
+      "answer": "(1/2)*(a-p)",
+      "fact_expr": "A: Point;B: Point;a: Number;Length(LineSegmentOf(A, B)) = a;Endpoint(LineSegmentOf(A, B)) = {A, B};G: Parabola;Expression(G) = (y^2=2*p*x);p>0;a>2*p;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;M: Point;MidPoint(LineSegmentOf(A, B)) = M;p: Number",
+      "coords": {}
+    },
+    {
+      "index": 4700,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4700.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, C);LeftFocus(C) =F1;RightFocus(C)=F2;AngleOf(F1, P, F2) = ApplyUnit(90, degree);Area(TriangleOf(P,F1,F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4701,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4702,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4702.png",
+      "answer": "(0, 6)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;H: Circle;Expression(H) = (6*y + x^2 + y^2 - 16 = 0);A: Point;B: Point;Intersection(Directrix(G), H) = {A, B};LineSegmentOf(A, B) = 8",
+      "coords": {}
+    },
+    {
+      "index": 4703,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4703.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "A: Point;T: Point;B: Point;F: Point;C: Ellipse;Coordinate(A) = (0, b);Coordinate(B) = (0, -b);Coordinate(F) = (c, 0);Coordinate(T) = (3*c, 0);Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a:Number;b:Number;c:Number;a>b;b>0;c = sqrt(a^2 - b^2);PointOnCurve(Intersection(LineOf(A,T),LineOf(B,F)), C)",
+      "coords": {}
+    },
+    {
+      "index": 4704,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4704.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);F: Point;RightFocus(G) = F;E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Distance(F, Asymptote(E))<sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4705,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4705.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;PointOnCurve(A, LeftPart(G));Abs(LineSegmentOf(A, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4706,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.581065485469099,
+        "b": 1.581065485469099,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6812139285133018e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_4706.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Coordinate(F1) = (-sqrt(5), 0);Coordinate(F2) = (sqrt(5), 0);Focus(G) = {F1,F2};PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {
+        "F1": [
+          -2.23606797749979,
+          0.0
+        ],
+        "F2": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4707,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_4707.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(y=2*x)",
+      "coords": {}
+    },
+    {
+      "index": 4708,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4708.png",
+      "answer": "0",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;F2: Point;Expression(G) = (x^2 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(M, G);DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 4709,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4709.png",
+      "answer": "sqrt(15)/3",
+      "fact_expr": "F: Point;M: Hyperbola;Expression(M) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(M) = F;P: Point;PointOnCurve(P, M);O: Origin;Abs(LineSegmentOf(O, P)) = 2*b;AngleOf(P, O, F) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 4710,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4710.png",
+      "answer": "x^2/5+y^2=1\n2*sqrt(5)/5",
+      "fact_expr": "H: Line;Expression(H) = (x - 2*y + 2 = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(OneOf(Vertex(G)), H) = True;PointOnCurve(OneOf(Focus(G)), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 4711,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4711.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "P: Point;B1: Point;G: Ellipse;a: Number;b: Number;B2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);UpperVertex(G) = B2;LowerVertex(G) = B1;PointOnCurve(P, G);Slope(LineOf(P, B1)) = 1/4;Slope(LineOf(P, B2)) = -1",
+      "coords": {}
+    },
+    {
+      "index": 4712,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4712.png",
+      "answer": "3*sqrt(5) - 1",
+      "fact_expr": "G: Parabola;A: Point;P: Point;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 6);PointOnCurve(P, G);Projection(P, yAxis) = M",
+      "coords": {
+        "A": [
+          4.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 4713,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4713.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;P: Point;PointOnCurve(P,G) = True;IsPerpendicular(LineSegmentOf(P,A),l) = True;A: Point;FootPoint(LineSegmentOf(P,A),l) = A;Slope(LineOf(A,F)) = -sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4714,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4714.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/5 + y^2/m = 1);Coordinate(OneOf(Focus(G))) = (0, 1)",
+      "coords": {}
+    },
+    {
+      "index": 4715,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4715.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;a: Number;M: Point;l: Line;a>0;m:Number;Expression(G) = (x^2 = a*y);Coordinate(M) = (m, 1);PointOnCurve(M, G);Directrix(G) = l;Distance(M, l) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4716,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4716.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;RightFocus(E) = F;l1: Line;l2: Line;OneOf(Asymptote(E)) = l1;OneOf(Asymptote(E)) = l2;Negation(l1 = l2);H: Line;PointOnCurve(F, H);IsPerpendicular(l1,H);FootPoint(l1,H) = P;P: Point;Intersection(H,l2) = Q;Q: Point;5*VectorOf(P, F) = 3*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 4717,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4717.png",
+      "answer": "2*p^2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;C: Point;Intersection(Directrix(G), xAxis) = C;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};DotProduct(VectorOf(B, C), VectorOf(B, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 4718,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4718.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/3 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 4719,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4720,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4720.png",
+      "answer": "y=pm*sqrt(2)*x/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4721,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4721.png",
+      "answer": "sqrt(21)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l) = True;Intersection(l, RightPart(C)) = {P, Q};P: Point;Q: Point;Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));Abs(LineSegmentOf(P, Q)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4722,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4722.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;O: Origin;L1: Line;L2: Line;OneOf(Asymptote(C)) = L1;OneOf(Asymptote(C)) = L2;Negation(L1=L2);L: Line;PointOnCurve(F2, L);IsPerpendicular(L, L1);P: Point;FootPoint(L, L1) = P;Q: Point;Intersection(LineSegmentOf(P, F1), L2) = Q;3*VectorOf(F1, Q) = 2*VectorOf(F1, P)",
+      "coords": {}
+    },
+    {
+      "index": 4723,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4723.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;P: Point;Q: Point;Expression(C) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, C);PointOnCurve(Q, C)",
+      "coords": {}
+    },
+    {
+      "index": 4724,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4724.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2)) = I;Area(TriangleOf(P, I, F1)) + Area(TriangleOf(P, I, F2)) = 2*Area(TriangleOf(I, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4725,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4725.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;G: Ellipse;P: Point;F2: Point;M: Point;Expression(G) = (x^2/16 + y^2/12 = 1);InterReciprocal(Eccentricity(C), Eccentricity(G));PointOnCurve(P, RightPart(C));Focus(C) = {F1,F2};Distance(P, F2) = 4;MidPoint(LineSegmentOf(P, F2)) = M;O:Origin;F1:Point;Focus(G)={F1,F2};RightFocus(C)=F2",
+      "coords": {}
+    },
+    {
+      "index": 4726,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4727,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4727.png",
+      "answer": "{-sqrt(5)/2, -1, 1, sqrt(5)/2}",
+      "fact_expr": "G: Hyperbola;H: Line;k: Real;Expression(G) = (x^2 - y^2 = 4);Expression(H) = (y = k*x - 1);NumIntersection(H, G)=1",
+      "coords": {}
+    },
+    {
+      "index": 4728,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4728.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;A: Point;Expression(C) = (x^2 = 4*y);PointOnCurve(A, C);Distance(A, Focus(C)) = 2;yA: Number;YCoordinate(A) = yA",
+      "coords": {}
+    },
+    {
+      "index": 4729,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4729.png",
+      "answer": "sqrt(17)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;G: Line;M: Point;Coordinate(M) = (-2, 0);PointOnCurve(M, G);A: Point;B: Point;Intersection(G, C) = {A, B};O: Origin;IsParallel(LineSegmentOf(O, A), LineSegmentOf(B, F))",
+      "coords": {
+        "M": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4730,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4730.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);P: Point;PointOnCurve(P, LeftPart(G)) = True;Distance(P, RightFocus(G)) = 13",
+      "coords": {}
+    },
+    {
+      "index": 4731,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4732,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4733,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4734,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4735,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4735.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;O:Origin;A: Point;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O,G);Intersection(G,C)={A,B};Abs(LineSegmentOf(A, B)) = sqrt(10);Abs(LineSegmentOf(A, F)) = sqrt(2);Cos(AngleOf(A, B, F)) = (2*sqrt(5))/5;Length(RealAxis(C)) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 4736,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4736.png",
+      "answer": "20",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};x1 + x2 = 16",
+      "coords": {}
+    },
+    {
+      "index": 4737,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4737.png",
+      "answer": "(0,pm*1)",
+      "fact_expr": "G: Ellipse;F1: Point;A: Point;F2: Point;B: Point;Expression(G) = (x^2/3 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(F1, A) = 5*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 4738,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4739,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4739.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F: Point;N: Point;l1: Line;l2: Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;OneOf(Asymptote(G))=l1;OneOf(Asymptote(G))=l2;Negation(l1=l2);L:Line;PointOnCurve(F, L);IsPerpendicular(l1, L);FootPoint(l1,L)=M;Intersection(l2,L)=N;2*VectorOf(M, F) = VectorOf(F, N)",
+      "coords": {}
+    },
+    {
+      "index": 4740,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4740.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Point;Expression(G) = (y^2 = 4*x);Coordinate(H) = (m, 2);PointOnCurve(H,G);m:Number",
+      "coords": {}
+    },
+    {
+      "index": 4741,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4742,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4742.png",
+      "answer": "48/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);A: Point;B: Point;C: Point;F: Point;Coordinate(F) = (3, 0);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4743,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 5.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4743.png",
+      "answer": "y=-5",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 20*y)",
+      "coords": {}
+    },
+    {
+      "index": 4744,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4745,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4745.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);E: Parabola;p: Number;p>0;Expression(E) = (x^2 = 2*(p*y));F: Point;Focus(E) = F;UpperVertex(C) = F;P: Point;OneOf(Intersection(C, E)) = P;Eccentricity(C) = sqrt(3)/3;Abs(LineSegmentOf(P, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4746.png",
+      "answer": "(x-5)^2+y^2=16",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/169 + y^2/144 = 1);Z: Circle;Center(Z) = RightFocus(H);G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);IsTangent(Asymptote(G), Z)",
+      "coords": {}
+    },
+    {
+      "index": 4747,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4748,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4748.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;A: Point;O: Origin;B: Point;l1: Line;l2: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);TangentOfPoint(OneOf(Focus(C)), G) = {l1, l2};TangentPoint(l1, G) = A;TangentPoint(l2, G) = B;AngleOf(A, O, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4749,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4749.png",
+      "answer": "2*sqrt(14)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4750,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4751,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4752,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4752.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F1), VectorOf(P, F2));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4753,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4754,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4754.png",
+      "answer": "(2,2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G) = True;A: Point;Coordinate(A) = (3, 2);WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4755,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4755.png",
+      "answer": "4/3",
+      "fact_expr": "F: Point;C: Parabola;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l) = True;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;Intersection(l, Directrix(C)) = D;D: Point;MidPoint(LineSegmentOf(A, D)) = F",
+      "coords": {}
+    },
+    {
+      "index": 4756,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4756.png",
+      "answer": "(-sqrt(15)/3,-1)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 2);k: Number;G: Hyperbola;Expression(G) = (x^2 - y^2 = 6);NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4757,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4757.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;Expression(C)=(x^2/a^2+y^2/b^2=1);a: Number;b: Number;a > b;b > 0;F1:Point;F2:Point;LeftFocus(C)=F1;RightFocus(C)=F2;Abs(LineSegmentOf(F1,F2))=2*sqrt(2);O:Origin;B:Point;OneOf(Endpoint(MinorAxis(C)))=B;Area(TriangleOf(B,F1,O))=sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 4758,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4758.png",
+      "answer": "(2,0)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 4759,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4759.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;P: Point;F: Point;A: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(P, G);Coordinate(A)=(3, 1);Focus(G) = F",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4760,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4760.png",
+      "answer": "x+2*y-2=0",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;P: Point;Coordinate(P) = (1, 1/2);Expression(C) = (x^2/4 + y^2 = 1);PointOnCurve(P, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 4761,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4762,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4762.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4763,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4763.png",
+      "answer": "y = pm*(2/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (x^2/9 - y^2/a = 1);Coordinate(RightFocus(G)) = (sqrt(13), 0)",
+      "coords": {}
+    },
+    {
+      "index": 4764,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4764.png",
+      "answer": "y = pm*(sqrt(2)/2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/8 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4765,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4765.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;Z: Line;PointOnCurve(M, Z);IsPerpendicular(Z, yAxis);N: Point;Intersection(Z, yAxis) = N;Abs(LineSegmentOf(M, N)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4766,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4767,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4767.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;A:Point;d1:Number;d2:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-a*y + b*x = 0);Eccentricity(G)=2;RightVertex(G)=A;RightFocus(G)=F;Distance(A, H) = d1;Distance(F,H)=d2",
+      "coords": {}
+    },
+    {
+      "index": 4768,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4768.png",
+      "answer": "11",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 6*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A,B};x1+x2=8;x1:Number;y1:Number;x2:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 4769,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4769.png",
+      "answer": "18",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;F: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(Center(G), H);Intersection(H, G) = {P, Q};OneOf(Focus(G)) = F",
+      "coords": {}
+    },
+    {
+      "index": 4770,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4770.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Line;k: Number;B: Point;A: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x - 2);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4771,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 2.8284271247461903
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4771.png",
+      "answer": "x^2/8 + y^2/2 = 1",
+      "fact_expr": "G: Circle;P: Point;D: Point;M: Point;Expression(G) = (x^2 + y^2 = 8);PointOnCurve(P, G);PointOnCurve(P, LineSegmentOf(P, D));IsPerpendicular(LineSegmentOf(P, D), xAxis);FootPoint(LineSegmentOf(P, D), xAxis) = D;MidPoint(LineSegmentOf(P, D)) = M",
+      "coords": {}
+    },
+    {
+      "index": 4772,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4772.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 1);k > 0;Expression(H) = (y = k*x);OneOf(Asymptote(G)) = H",
+      "coords": {}
+    },
+    {
+      "index": 4773,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4773.png",
+      "answer": "4*x-3*y-4=0",
+      "fact_expr": "G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 4*VectorOf(F, B);Quadrant(A)=1",
+      "coords": {}
+    },
+    {
+      "index": 4774,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4774.png",
+      "answer": "-4/3",
+      "fact_expr": "G: Ellipse;H:Line;A: Point;B: Point;M: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(M) = (m, 1);Slope(H)=1;Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 4775,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4775.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/3 = 1);M: Point;N: Point;PointOnCurve(M, C);PointOnCurve(N, C);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2",
+      "coords": {}
+    },
+    {
+      "index": 4776,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_4776.png",
+      "answer": "y=pm*(\\sqrt{3})*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;FocalLength(C) = 4;A: Point;Coordinate(A) = (2, 3);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 4777,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4777.png",
+      "answer": "(-1/4, 1)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = -4*x);Coordinate(A) = (-2,1);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P,F))+Abs(LineSegmentOf(P,A)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4778,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4778.png",
+      "answer": "x^2+(y-4)^2=64",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 16*y);H: Circle;Center(H) = Focus(G);IsTangent(Directrix(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 4779,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4779.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;F2: Point;O: Origin;N: Point;Expression(G) = (x^2/16 + y^2/12 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, G);MidPoint(LineSegmentOf(M, F1)) = N;LineSegmentOf(O, N) = 1",
+      "coords": {}
+    },
+    {
+      "index": 4780,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4781,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4781.png",
+      "answer": "12*x-8*y-7=0",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 3*x);Focus(C) = F;Slope(l)=3/2;Intersection(l, C) = {A, B};Intersection(l,xAxis)=P;Abs(LineSegmentOf(A,F))+Abs(LineSegmentOf(B,F))=4;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 4782,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4783,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4783.png",
+      "answer": "sqrt(5)-sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/5 = 1);F: Point;LeftFocus(G) = F;H: Circle;Expression(H) = (x^2 + y^2 = 3);P: Point;T: Point;TangentOfPoint(F, H) = LineOf(F,P);Intersection(LineSegmentOf(F, P), RightPart(G)) = P;TangentPoint(LineOf(F, P), H) = T;M: Point;MidPoint(LineSegmentOf(F, P)) = M;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 4784,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4785,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4785.png",
+      "answer": "3+sqrt(3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = sqrt(3)*x);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, B)) = 4*sqrt(3);RightFocus(C) = F;IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 4786,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4787,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4787.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;p: Number;H: Line;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Slope(H) = 1;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) - Abs(LineSegmentOf(B, F)) = sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 4788,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4789,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4790,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4790.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4791,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4791.png",
+      "answer": "2*x - 3*y + 5 = 0",
+      "fact_expr": "l: Line;G: Ellipse;B: Point;A: Point;M: Point;Expression(G) = (x^2/3 + y^2/2 = 1);Coordinate(M) = (-1, 1);PointOnCurve(M, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4792,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4793,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4793.png",
+      "answer": "6*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);A: Point;B: Point;LeftVertex(G) = A;RightVertex(G) = B;P: Point;PointOnCurve(P, G);Negation(P = A);Negation(P = B);H: Line;Expression(H) = (x = 10);M: Point;Intersection(LineOf(A,P),H)=M;N: Point;Intersection(LineOf(B,P),H)=N",
+      "coords": {}
+    },
+    {
+      "index": 4794,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4794.png",
+      "answer": "2*x+y-2=0",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/4 + y^2/16 = 1);Coordinate(MidPoint(InterceptChord(l,G))) = (1/2, 1)",
+      "coords": {}
+    },
+    {
+      "index": 4795,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4795.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;P: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (3, b);Quadrant(A)=1;Focus(G)=F;Distance(A,F)=4;PointOnCurve(P, Directrix(G));WhenMin(Perimeter(TriangleOf(P,A,F)));b:Number",
+      "coords": {}
+    },
+    {
+      "index": 4796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4796.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;G: Parabola;Expression(G) = (x^2 = 4*y);PointOnCurve(A, G);PointOnCurve(B, G);Length(LineSegmentOf(A,B)) = 6;MidPoint(LineSegmentOf(A,B)) = M;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 4797,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_4797.png",
+      "answer": "5/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = sqrt(5);Distance(Focus(C), Asymptote(C)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4798,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4798.png",
+      "answer": "-1/2",
+      "fact_expr": "L: Line;Expression(L) = (m + 2*x + 4*y = 0);m: Number;G: Parabola;Expression(G) = (y = 2*x^2);PointOnCurve(Focus(G), L) = True",
+      "coords": {}
+    },
+    {
+      "index": 4799,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4799.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(RightFocus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};M: Point;Intersection(l, yAxis) = M;VectorOf(A, F2) = 3*VectorOf(F2, B);VectorOf(M, A) = VectorOf(A, F2)",
+      "coords": {}
+    },
+    {
+      "index": 4800,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4801,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4802,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4802.png",
+      "answer": "(1/3)*sqrt(3)",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;F2: Point;A: Point;B: Point;C: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);IsPerpendicular(H, xAxis);Intersection(H, G) = {A, B};Intersection(LineOf(A,F2),G)={A,C};Area(TriangleOf(A, B, C)) = 4*Area(TriangleOf(B, C, F2));Negation(A=C)",
+      "coords": {}
+    },
+    {
+      "index": 4803,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4803.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Number;F: Point;Expression(G) = (-x^2/9 + y^2/m = 1);Coordinate(F) = (0, 5);OneOf(Focus(G)) = F",
+      "coords": {
+        "F": [
+          0.0,
+          5.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4804,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4804.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/12 + y^2/3 = 1);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4805,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4805.png",
+      "answer": "16/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Distance(A, Directrix(C)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4806,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch;ellipse_focus_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_4806.png",
+      "answer": "x^2/16 + y^2/12 = 1",
+      "fact_expr": "G: Ellipse;m: Number;n: Number;F: Point;m>0;n>0;Expression(G) = (y^2/n^2 + x^2/m^2 = 1);Coordinate(F) = (2, 0);RightFocus(G) = F;Eccentricity(G) = 1/2",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_ecc_mismatch",
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4807,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4807.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;A: Point;F: Point;B: Point;Focus(G) = F;PointOnCurve(F,H);Intersection(H, G) = {A, B};WhenMin(Abs(LineSegmentOf(A, F)) + 4*Abs(LineSegmentOf(B, F)))",
+      "coords": {}
+    },
+    {
+      "index": 4808,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4808.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;F: Point;M: Point;N: Point;Expression(C) = (y^2 = 16*x);Focus(C) = F;PointOnCurve(M, C);Intersection(OverlappingLine(LineSegmentOf(F,M)),yAxis)=N;MidPoint(LineSegmentOf(F, N)) = M",
+      "coords": {}
+    },
+    {
+      "index": 4809,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4809.png",
+      "answer": "Answer missing",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(F1,LineOf(A,B)) = True;Intersection(LineOf(A,B),G) = {A,B};A: Point;B: Point;2*Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(F1, B));Abs(LineSegmentOf(B, F2)) = 2*Abs(LineSegmentOf(B, F1))",
+      "coords": {}
+    },
+    {
+      "index": 4810,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4810.png",
+      "answer": "12",
+      "fact_expr": "E: Ellipse;M: Circle;P: Point;F1: Point;F2: Point;Q: Point;Expression(E) = (x^2/9 + y^2/5 = 1);Expression(M) = (-8*y - 10*x + x^2 + y^2 + 40 = 0);PointOnCurve(Q, M);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, E)",
+      "coords": {}
+    },
+    {
+      "index": 4811,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4811.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;m: Number;n: Number;m > 0;n > 0;Expression(G) = (y^2/n^2 + x^2/m^2 = 1);2/n + 1/m = 1;WhenMin(m*n)",
+      "coords": {}
+    },
+    {
+      "index": 4812,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4812.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = -2*x)",
+      "coords": {}
+    },
+    {
+      "index": 4813,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4813.png",
+      "answer": "x^2/4 - y^2/8 = 1",
+      "fact_expr": "l: Line;Expression(l) = (y = sqrt(2)*(x + 2*sqrt(3)));C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;LeftFocus(C) = F;PointOnCurve(F, l) = True;NumIntersection(l, C)=1",
+      "coords": {}
+    },
+    {
+      "index": 4814,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4815,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4816,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4816.png",
+      "answer": "1/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;M: Point;N: Point;Intersection(LineOf(M, N), LeftPart(C)) = M;Intersection(LineOf(M, N), RightPart(C)) = N;P: Point;Intersection(LineOf(M, N), RightDirectrix(C)) = P;F: Point;RightFocus(C) = F;lambda: Real;0<lambda;lambda<1;Abs(VectorOf(F, M)) = 2*Abs(VectorOf(F, N));VectorOf(N, P) = lambda*VectorOf(P, M)",
+      "coords": {}
+    },
+    {
+      "index": 4817,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4817.png",
+      "answer": "x = -3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 6*x)",
+      "coords": {}
+    },
+    {
+      "index": 4818,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4818.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;a: Number;b: Number;P: Point;Q: Point;F: Point;p>0;Expression(G) = (x^2 = 2*(p*y));a > b;b > 0;Expression(H)=(x^2/b^2+y^2/a^2=1);Focus(G) = F;OneOf(Focus(H)) = F;Intersection(G,H)={P,Q};PointOnCurve(F,LineOf(P,Q))",
+      "coords": {}
+    },
+    {
+      "index": 4819,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4819.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "Gamma: Parabola;Expression(Gamma) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(Gamma) = F;l: Line;Slope(l) = 1;A: Point;B: Point;Intersection(l, Gamma) = {A, B};Abs(LineSegmentOf(A, F)) = 3;Abs(LineSegmentOf(B, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4820,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4820.png",
+      "answer": "12*sqrt(7)/7",
+      "fact_expr": "G: Ellipse;P: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);PointOnCurve(P, G);RightFocus(G) = F2;Distance(P, F2) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4821,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.02500000037252903,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4821.png",
+      "answer": "1/20",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 10*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 4822,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4822.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/5 + y^2/4 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 4823,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4824,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4824.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/16 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4825,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4825.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Inclination(H) = ApplyUnit(90,degree);A: Point;B: Point;Intersection(H, G) = {A, B};Length(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 4826,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4826.png",
+      "answer": "[2,+oo)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F)) - Abs(LineSegmentOf(P, O)) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 4827,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4828,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4828.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P,G) = True;L: Line;PointOnCurve(P,L) = True;IsPerpendicular(L,Directrix(G)) = True;FootPoint(L,Directrix(G)) = M;M: Point;Focus(G) = F;F: Point;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 4829,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4830,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4831,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4831.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "P: Point;A: Point;B: Point;G: Ellipse;Expression(G) = (y^2/n^2 + x^2/m^2 = 1);m: Number;n: Number;m>0;n>0;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(P, G);Negation(A = B);Negation(A = P);Negation(B = P);O: Origin;PointOnCurve(O, LineSegmentOf(A, B)) ;k1: Number;k2: Number;Slope(LineOf(P, A)) = k1;Slope(LineOf(P, B)) = k2;k1*k2 = -2",
+      "coords": {}
+    },
+    {
+      "index": 4832,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4833,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4833.png",
+      "answer": "7/2",
+      "fact_expr": "A: Point;Coordinate(A) = (3, 2);F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 2*x);P: Point;PointOnCurve(P, G) = True",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4834,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.449489742783178,
+        "major_axis": "y",
+        "x_coef": 6.0,
+        "y_coef": 10.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4834.png",
+      "answer": "x^2/12 + y^2/16 = 1",
+      "fact_expr": "G: Ellipse;Z: Ellipse;P: Point;Expression(G) = (x^2/6 + y^2/10 = 1);Coordinate(P) = (-3, 2);PointOnCurve(P, Z);Focus(G) = Focus(Z)",
+      "coords": {
+        "P": [
+          -3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4835,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4835.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);R: Point;PointOnCurve(R, Directrix(G)) ;L1: Line;L2: Line;TangentOfPoint(R, G) = {L1, L2};TangentPoint(L1, G) = M;TangentPoint(L2, G) = N;M: Point;N: Point;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 4836,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4836.png",
+      "answer": "sqrt(3)/2\nx^2/9-y^2/3=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H)=(x^2+4*y^2=16);Focus(G)=Focus(H);Expression(OneOf(Asymptote(G)))=(x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 4837,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4837.png",
+      "answer": "sqrt(52)",
+      "fact_expr": "G: Curve;P: Point;x1: Number;y1: Number;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 4838,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4838.png",
+      "answer": "[(-4-sqrt(7))/12, (-4+sqrt(7))/12]",
+      "fact_expr": "C: Circle;Expression(C) = (-8*y - 8*x + x^2 + y^2 + 28 = 0);P: Point;PointOnCurve(P, C);N: Curve;Expression(N) = (x^2 + 4*y^2 = 4);A: Point;B: Point;Intersection(N, xAxis) = {A, B};O: Origin;M: Point;Intersection(LineOf(O, P), N) = M;k1: Number;k2: Number;k3: Number;Slope(LineOf(M, A)) = k1;Slope(LineOf(M, B)) = k2;Slope(LineOf(O, P)) = k3",
+      "coords": {}
+    },
+    {
+      "index": 4839,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4839.png",
+      "answer": "3",
+      "fact_expr": "F: Point;C: Parabola;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G) = True;Slope(G) = sqrt(3);G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(F, A)) > Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 4840,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4840.png",
+      "answer": "(1/2, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;I: Point;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(I) = (c/2, 0);Coordinate(M) = (x0, y0);Quadrant(M)=1;PointOnCurve(M,G);Expression(TangentOnPoint(M,G))=(x0*x/a^2+y0*y/b^2=1);PointOnCurve(M,H);IsPerpendicular(TangentOnPoint(M,G),H);PointOnCurve(I,H);HalfFocalLength(G)=c;c:Number;x0:Number;y0:Number",
+      "coords": {}
+    },
+    {
+      "index": 4841,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4841.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;F: Point;Expression(C) = (y^2 = 2*(p*x));Coordinate(F) = (1, 0);Focus(C) = F",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4842,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4842.png",
+      "answer": "4+sqrt(2)",
+      "fact_expr": "G: Parabola;N: Point;M: Point;F: Point;Expression(G) = (y^2 = 6*x);Coordinate(N) = (5/2, 1);Focus(G) = F;PointOnCurve(M, G)",
+      "coords": {
+        "N": [
+          2.5,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4843,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4843.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;Intersection(Directrix(G), xAxis) = K;K: Point;P: Point;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 4844,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4844.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;p: Number;B: Point;A: Point;F: Point;M:Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Inclination(l)=ApplyUnit(30,degree);PointOnCurve(F, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B))=M;XCoordinate(M)=7",
+      "coords": {}
+    },
+    {
+      "index": 4845,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4845.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;F: Point;Expression(G) = (x^2/4 - y^2/9 = 1);RightFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 4846,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4846.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;a > b;b > 0;P:Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P,G);Max(Distance(P,UpperVertex(G)))=Distance(Center(G),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 4847,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4848,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4849,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4849.png",
+      "answer": "16",
+      "fact_expr": "F: Point;Focus(C) = F;C: Parabola;Expression(C) = (y^2 = 8*x);l: Line;PointOnCurve(F, l) = True;Intersection(l, C) = {A, B};A: Point;B: Point;YCoordinate(MidPoint(LineSegmentOf(A,B))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4850,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4850.png",
+      "answer": "-4/9",
+      "fact_expr": "G: Ellipse;H:Line;B: Point;A: Point;O: Origin;P: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = P;Slope(H) = k1;Slope(LineOf(O, P)) = k2;k1:Number;k2:Number",
+      "coords": {}
+    },
+    {
+      "index": 4851,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4851.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (1, 2);PointOnCurve(H,OneOf(Asymptote(G)))",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4852,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4852.png",
+      "answer": "2*sqrt(3)/3\n1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4853,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4853.png",
+      "answer": "(-2*sqrt(6)/3,2*sqrt(6)/3)",
+      "fact_expr": "G: Ellipse;H: Line;A1: Point;A2: Point;P: Point;F1: Point;F2: Point;M: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1,F2};PointOnCurve(M, LineSegmentOf(A1, A2));IsPerpendicular(LineSegmentOf(A1, A2), H);Intersection(H, G) = P;DotProduct(VectorOf(P,F1),VectorOf(P,F2))<0",
+      "coords": {}
+    },
+    {
+      "index": 4854,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4854.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "l: Line;C: Ellipse;a: Number;b: Number;M: Point;a > b;b > 0;Slope(l) = -1/3;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);MidPoint(InterceptChord(l, C)) = M;Coordinate(M) = (1, 1)",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4855,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4855.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(H) = (0, 1);Focus(C) = F;PointOnCurve(M, C);Abs(LineSegmentOf(M, F)) = 2;IsDiameter(LineSegmentOf(M,F),G);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4856,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4856.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/8 = 1);K: Point;PointOnCurve(K, G);F1: Point;F2: Point;Focus(G) = {F1, F2};M: Number;Distance(K, F1)*Distance(K, F2) = M",
+      "coords": {}
+    },
+    {
+      "index": 4857,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4857.png",
+      "answer": "4*sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);M: Point;Coordinate(M) = (4, -4);PointOnCurve(A, C) = True;PointOnCurve(B, C) = True;A: Point;B: Point;DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0;PointOnCurve(M, C)",
+      "coords": {
+        "M": [
+          4.0,
+          -4.0
+        ]
+      }
+    },
+    {
+      "index": 4858,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4858.png",
+      "answer": "y=x+pm*1",
+      "fact_expr": "l: Line;Slope(l) = 1;G: Hyperbola;Expression(G) = (x^2/4 - y^2/8 = 1);Intersection(l,G) = {A,B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 4*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 4859,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 4860,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4860.png",
+      "answer": "(0,2)+(8,+oo)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/m = 1);m: Real;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) < 0",
+      "coords": {}
+    },
+    {
+      "index": 4861,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4862,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4862.png",
+      "answer": "4*sqrt(6)",
+      "fact_expr": "H: Line;Expression(H) = (y = x + 1);G: Hyperbola;Expression(G) = (x^2/2 - y^2/3 = 1);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4863,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4863.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 4864,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4865,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4866,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4866.png",
+      "answer": "6*sqrt(2)/7",
+      "fact_expr": "l: Line;G: Ellipse;H: Point;A: Point;O: Origin;B: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(H) = (1, 0);PointOnCurve(H, l);Inclination(l) = ApplyUnit(45, degree);Intersection(l, G) = {A, B}",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4867,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4867.png",
+      "answer": "2*sqrt(5)-1",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Point;P: Point;Q: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (y^2 + (x - 6)^2 = 1);Coordinate(H) = (5, t);PointOnCurve(H, C);PointOnCurve(P,C);PointOnCurve(Q,G);Distance(H, Focus(C)) = 6;t:Number",
+      "coords": {}
+    },
+    {
+      "index": 4868,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4869,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4869.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;O: Point;P: Point;F: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Center(G)=O;LeftFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 4870,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4870.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/10 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4871,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4872,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4872.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4873,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4874,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4874.png",
+      "answer": "(\\sqrt{5}+1)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);L:Line;PointOnCurve(OneOf(Focus(G)),L);IsPerpendicular(L,RealAxis(G));Intersection(L,G)={A,B};Length(LineSegmentOf(A,B))=FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 4875,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4875.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Circle;P: Point;F1:Point;F2: Point;G: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = b^2);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P,RightPart(C));TangentPoint(LineSegmentOf(P,F2),H)=G;MidPoint(LineSegmentOf(P, F2)) = G;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4876,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4876.png",
+      "answer": "(5/4,-3/4)",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = x);P:Point;Distance(P,H)=sqrt(2);PointOnCurve(P,RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 4877,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4877.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 4878,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4879,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 1.6666666666666667,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 2.7777777777777777
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4879.png",
+      "answer": "10\n10/3\n(pm*(10/3)*sqrt(2),0)\n{(pm*5,0),(0,pm*5/3)}",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 9*y^2 = 25)",
+      "coords": {}
+    },
+    {
+      "index": 4880,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4880.png",
+      "answer": "y^2/16 + x^2/9 = 1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);H: Ellipse;Vertex(H) = {Focus(G), Endpoint(MinorAxis(G))}",
+      "coords": {}
+    },
+    {
+      "index": 4881,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4881.png",
+      "answer": "x^2/16 - y^2/9 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(y=(3/4)*x);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 18",
+      "coords": {}
+    },
+    {
+      "index": 4882,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4882.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;p: Number;O: Origin;F: Point;M: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C)=F;PointOnCurve(M,C);Area(CircumCircle(TriangleOf(O,F,M)))=36*pi;IsTangent(CircumCircle(TriangleOf(O,F,M)),Directrix(C))",
+      "coords": {}
+    },
+    {
+      "index": 4883,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4883.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/4 + x^2/a^2 = 1);a: Number;a>2;Eccentricity(G) = sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 4884,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4884.png",
+      "answer": "(-oo,0)",
+      "fact_expr": "G: ConicSection;H: ConicSection;b: Number;a: Number;a>b;b>0;e1:Number;e2:Number;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(H)=e1;Eccentricity(G)=e2;m:Number;m=lg(e1)+lg(e2)",
+      "coords": {}
+    },
+    {
+      "index": 4885,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4886,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4887,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4887.png",
+      "answer": "(3, 4)",
+      "fact_expr": "G: Ellipse;t: Number;Expression(G) = (x^2/4 + y^2/t = 1);PointOnCurve(Focus(G), xAxis);P: Point;PointOnCurve(P, G);Distance(P, OneOf(Focus(G))) > 1",
+      "coords": {}
+    },
+    {
+      "index": 4888,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4888.png",
+      "answer": "5",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;M: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(M, C);Max(Abs(LineSegmentOf(M, F1))*Abs(LineSegmentOf(M, F2))) = 25",
+      "coords": {}
+    },
+    {
+      "index": 4889,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4889.png",
+      "answer": "(0, \\sqrt{3}/2]",
+      "fact_expr": "l: Line;E: Ellipse;b: Number;F: Point;M: Point;0 < b;b < 2;Expression(E) = (x^2/4 + y^2/b^2 = 1);Expression(l)=(3*x-4*y=0);RightFocus(E) = F;OneOf(Endpoint(MinorAxis(E)))=M;Negation(Distance(M, l) < 4/5)",
+      "coords": {}
+    },
+    {
+      "index": 4890,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4890.png",
+      "answer": "pm*(3/2)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x);k: Number;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);A: Point;B: Point;Intersection(H, G) = {A, B};L1: Line;L2: Line;PointOnCurve(A, L1);PointOnCurve(B, L2);IsPerpendicular(L1, xAxis);IsPerpendicular(L2, xAxis);F1: Point;F2: Point;Focus(G) = {F1, F2};FootPoint(L1, xAxis) = F1;FootPoint(L2, xAxis) = F2",
+      "coords": {}
+    },
+    {
+      "index": 4891,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4892,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4893,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4893.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Hyperbola;e: Number;Expression(G) = (x^2/4 - y^2/9 = 1);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4894,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4894.png",
+      "answer": "x=4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4895,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4895.png",
+      "answer": "(-1,-3/2)",
+      "fact_expr": "G: Ellipse;A: Point;F: Point;O: Origin;B: Point;C: Point;Expression(G) = (x^2/4 + y^2/3 = 1);RightFocus(G) = F;PointOnCurve(A,G);Quadrant(A) = 1;Intersection(OverlappingLine(LineSegmentOf(A, F)), G) = B;Intersection(OverlappingLine(LineSegmentOf(A, O)), G) = C;Area(TriangleOf(A, B, C)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 4896,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4896.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;k: Number;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x - 2);Intersection(H, G) = {A, B};Negation(A=B);YCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4897,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4897.png",
+      "answer": "1",
+      "fact_expr": "C: Hyperbola;F: Point;Expression(C) = (x^2 - y^2 = 1);RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 4898,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4898.png",
+      "answer": "16/9",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;M: Point;Q: Point;P: Point;l: Line;Expression(G) = (y^2 = 2*x);Focus(G) = F;Directrix(G) = l;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F,LineSegmentOf(A,B));MidPoint(LineSegmentOf(A,B))=M;L1:Line;L2:Line;PointOnCurve(F,L1);PointOnCurve(M,L2);IsPerpendicular(L1,LineSegmentOf(A,B));IsPerpendicular(L2,LineSegmentOf(A,B));Intersection(L1,l)=P;Intersection(L2,l)=Q;Abs(LineSegmentOf(A,F))=3*Abs(LineSegmentOf(B,F))",
+      "coords": {}
+    },
+    {
+      "index": 4899,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4899.png",
+      "answer": "sqrt(7)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;l: Line;OneOf(Asymptote(C)) = l;G: Circle;Expression(G) = (y^2 + (-c + x)^2 = a^2);c: Number;A: Point;B: Point;Intersection(l, G) = {A, B};c^2 = a^2 + b^2;Abs(LineSegmentOf(A, B)) = a",
+      "coords": {}
+    },
+    {
+      "index": 4900,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4900.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 6*x);F: Point;Focus(C) = F;G: Line;A: Point;B: Point;PointOnCurve(F, G);Inclination(G) = ApplyUnit(30, degree);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4901,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4902,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4902.png",
+      "answer": "(1,0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 4903,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4904,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4904.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "H: Line;Expression(H) = (y = x*b/(3*a));G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Intersection(H,LeftPart(G)) = P;P: Point;F1: Point;LeftFocus(G) = F1;IsPerpendicular(LineSegmentOf(P,F1),xAxis) = True;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 4905,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4906,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4906.png",
+      "answer": "x^2/2-y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1);Z: Hyperbola;Asymptote(Z) = Asymptote(G);P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, Z)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4907,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4907.png",
+      "answer": "y = x",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (2, 2);PointOnCurve(P,H);Intersection(H, G) = {A, B};VectorOf(P, A) + VectorOf(P, B) = 0",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4908,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4909,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4909.png",
+      "answer": "[2, 3]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);x1: Number;y1: Number;P: Point;Coordinate(P) = (x1, y1);PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 4910,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4910.png",
+      "answer": "(x-5)^2+y^2=16",
+      "fact_expr": "G: Hyperbola;H: Circle;Expression(G) = (x^2/9 - y^2/16 = 1);RightFocus(G) = Center(H);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 4911,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4911.png",
+      "answer": "pm*(sqrt(3)/3)",
+      "fact_expr": "l: Line;G: Parabola;M: Circle;B:Point;A:Point;Expression(G) = (y^2 = 2*x);Intersection(l,G)={A,B};IsDiameter(LineSegmentOf(A,B),M);IsTangent(Directrix(G),M);Area(M)=16*pi",
+      "coords": {}
+    },
+    {
+      "index": 4912,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4912.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;G: Line;B: Point;A: Point;P: Point;O: Origin;Expression(G) = (y = x);Coordinate(P) = (2, 2);Vertex(C) = O;PointOnCurve(Focus(C), xAxis);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4913,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4914,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4915,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4915.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4916,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4916.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 2*x);IsPerpendicular(OneOf(Asymptote(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 4917,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4918,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4918.png",
+      "answer": "3/5",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/16 - y^2/9 = 1);Expression(H) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 4919,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4919.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;B: Point;F: Point;A: Point;a>0;b>0;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);UpperFocus(C) = F;UpperVertex(C) = A ;PointOnCurve(B, C);IsPerpendicular(LineSegmentOf(B, F), yAxis);Slope(LineSegmentOf(A, B)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 4920,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4920.png",
+      "answer": "-2*p",
+      "fact_expr": "G: Parabola;p: Number;H: Line;O: Origin;A: Point;M: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (1, 0);PointOnCurve(M,SymmetryAxis(G));PointOnCurve(M,H);Intersection(H, G) = {A, B}",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4921,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4921.png",
+      "answer": "[1, 3]",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 4922,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4922.png",
+      "answer": "x^2 = pm*8*y",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (-x^2/3 + y^2/6 = 1);Center(G) = Vertex(H);Directrix(H) = Directrix(G)",
+      "coords": {}
+    },
+    {
+      "index": 4923,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4923.png",
+      "answer": "y=pm*3*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;t: Number;Negation(t=0);P: Point;A: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = t + 2*x);Coordinate(P) = (4*t, 0);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H, L1) = A;Intersection(H,L2)=B;Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 4924,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4925,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4925.png",
+      "answer": "2\n2*pi/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 4926,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4926.png",
+      "answer": "56/5",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/25 + y^2/9 = 1);Coordinate(A) = (4, 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);WhenMax(Perimeter(TriangleOf(A, P, F1)))",
+      "coords": {
+        "A": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4927.png",
+      "answer": "(0, 5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/9 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4928,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4928.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;M: Point;F: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Expression(G) = (-x + y + 1 = 0);Focus(C) = F;Intersection(G, C) = M;IsPerpendicular(LineSegmentOf(M,F),SymmetryAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 4929,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4929.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 4930,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4930.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(G) = F;H: Circle;Expression(H) = (x^2 + y^2 = a^2/4);L: Line;TangentOfPoint(F, H) = L;TangentPoint(L, H) = E;E: Point;Intersection(OverlappingLine(LineSegmentOf(F, E)), RightPart(G)) = P;P: Point;MidPoint(LineSegmentOf(P, F)) = E",
+      "coords": {}
+    },
+    {
+      "index": 4931,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4931.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;e: Number;Eccentricity(G) = e ;e = sqrt(5)/5;Coordinate(OneOf(Vertex(G))) = (0, 2)",
+      "coords": {}
+    },
+    {
+      "index": 4932,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.242349737599891,
+        "b": 4.242349737599891,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0299271839804645e-06,
+        "converged": true,
+        "iterations": 86
+      },
+      "output_path": "results/train/hyperbola/problem_4932.png",
+      "answer": "-11",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/25 + y^2/m = 1);F1: Point;F2: Point;Coordinate(F1) = (-6, 0);Coordinate(F2) = (6, 0);Focus(G) = {F1, F2}",
+      "coords": {
+        "F1": [
+          -6.0,
+          0.0
+        ],
+        "F2": [
+          6.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4933,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4933.png",
+      "answer": "x^2/12 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(OneOf(Asymptote(G))) = (x + sqrt(3)*y = 0);OneOf(Focus(G)) = Focus(H);Expression(H) = (y^2 = 16*x)",
+      "coords": {}
+    },
+    {
+      "index": 4934,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4934.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;A: Point;PointOnCurve(A, G);B: Point;Coordinate(B) = (-1/2, 0);WhenMax(Abs(LineSegmentOf(A, B))/Abs(LineSegmentOf(A, F))) = True",
+      "coords": {
+        "B": [
+          -0.5,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4935,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4935.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4936,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4936.png",
+      "answer": "1/2",
+      "fact_expr": "C: Parabola;G:Circle;F: Point;l: Line;A: Point;B: Point;Expression(C) = (y = 2*x^2);Focus(C) = F;Directrix(C) = l;Center(G)=F;IsTangent(l,G);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 4937,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4938,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4939,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_4939.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-3*a*y + b*x = 0);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4940,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4940.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "G: Parabola;p: Number;M: Point;F: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(M, G);Abs(LineSegmentOf(M, F)) = 4*Abs(LineSegmentOf(O, F));Area(TriangleOf(M, F, O)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4941,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4941.png",
+      "answer": "-2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/2 + y^2/m = 1);m: Number;e: Number;Eccentricity(C) = e;M: Circle;Expression(M) = (y^2 + (x - 2)^2 = e^2);IsTangent(Asymptote(C), M) = True",
+      "coords": {}
+    },
+    {
+      "index": 4942,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4942.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;Q: Point;PointOnCurve(P, G);PointOnCurve(Q, G);Negation(P=Endpoint(MajorAxis(G)));Negation(Q=Endpoint(MajorAxis(G)));O: Origin;K1: Number;K2: Number;Slope(LineOf(O, P)) = K1;Slope(LineOf(O, Q)) = K2;K1*K2 = -3/4",
+      "coords": {}
+    },
+    {
+      "index": 4943,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4944,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4945,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_4945.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Eccentricity(G) = 1/2;H: Line;PointOnCurve(F2, H);Intersection(H, G) = {A, B};A: Point;B: Point;Perimeter(TriangleOf(A, B, F1)) = 8",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 4946,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4947,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4947.png",
+      "answer": "sqrt(10)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = -4*sqrt(2)*x);Distance(Focus(H), OneOf(Asymptote(G))) = sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 4948,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4948.png",
+      "answer": "{(y^2 = 8*x)&(x > 0), (y = 0)&(x < 0)}",
+      "fact_expr": "G: Circle;Expression(G) = (-4*x + x^2 + y^2 = 0);Z:Circle;IsOutTangent(Z, G);IsTangent(Z, yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 4949,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4949.png",
+      "answer": "2*sqrt(3+2*sqrt(3))",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/3 + x^2/a^2 = 1);a: Number;a>sqrt(3);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;O: Origin;G: Line;PointOnCurve(O, G);Inclination(G) = ApplyUnit(60, degree);M: Point;OneOf(Intersection(G, C)) = M;Abs(VectorOf(M, F1) + VectorOf(M, F2)) = Abs(VectorOf(M, F1) - VectorOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 4950,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4951,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4951.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Expression(G) = (x^2/16 - y^2/20 = 1);Focus(G)={F1,F2};PointOnCurve(P, G);Distance(P,F1) = 9",
+      "coords": {}
+    },
+    {
+      "index": 4952,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          4.0,
+          -0.0
+        ],
+        "radius": 10.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_4952.png",
+      "answer": "x^2/25+y^2/9=1",
+      "fact_expr": "G: Circle;C:Circle;A: Point;Expression(G) = (-8*x + x^2 + y^2 - 84 = 0);Coordinate(A) = (-4, 0);PointOnCurve(A, C);IsTangent(G,C);P:Point;Center(C)=P",
+      "coords": {}
+    },
+    {
+      "index": 4953,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4953.png",
+      "answer": "(p*k^2 + p, -p*k)",
+      "fact_expr": "G: Parabola;p: Number;l1: Line;l2: Line;P: Point;Q: Point;M: Point;N: Point;T: Point;k: Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(X) = (p + p/k^2, p/k);Coordinate(T) = (p, 0);PointOnCurve(T, l1);PointOnCurve(T, l2);IsPerpendicular(l1, l2);Intersection(l1, G) = {P, Q};Intersection(l2, G) = {M, N};Slope(l1) = k;IsChordOf(LineSegmentOf(P, Q), G);IsChordOf(LineSegmentOf(M, N), G);X: Point;MidPoint(LineSegmentOf(P, Q)) = X",
+      "coords": {}
+    },
+    {
+      "index": 4954,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4954.png",
+      "answer": "x \\pm y - 1 = 0",
+      "fact_expr": "l: Line;G: Parabola;a: Number;F: Point;A: Point;B: Point;Expression(G) = (y^2 = a*x);Coordinate(F) = (1, 0);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};LineSegmentOf(A, B) = 8",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4955,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4955.png",
+      "answer": "18",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);P: Point;PointOnCurve(P, LeftPart(G));Distance(P, LeftFocus(G)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 4956,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4956.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A,B};x1 + x2 = 6",
+      "coords": {}
+    },
+    {
+      "index": 4957,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4957.png",
+      "answer": "3/2",
+      "fact_expr": "C: Hyperbola;P: Point;F: Point;A: Point;Expression(C) = (x^2 - y^2/3 = 1);Coordinate(A) = (1, 3);RightFocus(C)=F;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,F),xAxis)",
+      "coords": {
+        "A": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 4958,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4958.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 1);k: Number;G: Ellipse;Expression(G) = (x^2/5 + y^2/m = 1);m: Number;IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 4959,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4960,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 2.560132719491411,
+        "b": 1.280571558186289,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.001754676787936e-06,
+        "converged": true,
+        "iterations": 73
+      },
+      "output_path": "results/train/hyperbola/problem_4960.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (4, sqrt(3));PointOnCurve(H,G) = True;Expression(Asymptote(G)) = (y=pm*(1/2)*x)",
+      "coords": {
+        "H": [
+          4.0,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 4961,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4962,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4962.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;F: Point;A: Point;O:Origin;H: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Center(G) = O;RightFocus(G)=F;RightVertex(G)=A;Intersection(RightDirectrix(G),xAxis)=H",
+      "coords": {}
+    },
+    {
+      "index": 4963,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4963.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);P: Point;Coordinate(P) = (2, 2);l: Line;TangentOfPoint(P, G) = l",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4964,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4965,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4965.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(Asymptote(G)) = (y = pm*(x/2))",
+      "coords": {}
+    },
+    {
+      "index": 4966,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4966.png",
+      "answer": "7",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Point;Coordinate(G) = (-2, 0);l: Line;Slope(l) = 2/3;PointOnCurve(G, l);A: Point;B: Point;Intersection(l, C) = {A, B}",
+      "coords": {
+        "G": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4967,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4967.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;B: Point;Coordinate(B) = (4, 2)",
+      "coords": {
+        "B": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 4968,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4969,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4970,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4970.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/4 - y^2/5 = 1);Vertex(H) = Center(G);RightFocus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 4971,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4972,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4972.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y^2 + (x - 2)^2 = 4);Length(InterceptChord(OneOf(Asymptote(C)),G))=2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 4973,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4973.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;A: Point;B: Point;P: Point;b:Real;b>0;b<5;Coordinate(A) = (-4, 0);Coordinate(B) = (-1, 0);Expression(C) = (x^2/25 + y^2/b^2 = 1);PointOnCurve(P,C);Abs(LineSegmentOf(P,A))=2*Abs(LineSegmentOf(P,B))",
+      "coords": {
+        "A": [
+          -4.0,
+          0.0
+        ],
+        "B": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4974,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4974.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = x);F: Point;Focus(C) = F;A: Point;x0: Number;y0: Number;Coordinate(A) = (x0, y0);PointOnCurve(A, C);Abs(LineSegmentOf(A, F)) = (5/4)*x0",
+      "coords": {}
+    },
+    {
+      "index": 4975,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4975.png",
+      "answer": "y=2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 4976,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4976.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "P: Point;Coordinate(P) = (sqrt(2)/2, 1);M: Point;N: Point;PointOnCurve(M, G);PointOnCurve(N, G);G: Ellipse;Expression(G) = (x^2 + y^2/2 = 1);k1: Number;k2: Number;k: Number;Slope(LineOf(P, M)) = k1;Slope(LineOf(P, N)) = k2;Slope(LineOf(M, N)) = k;k1 + k2 = 0",
+      "coords": {
+        "P": [
+          0.7071067811865476,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 4977,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4977.png",
+      "answer": "12/25",
+      "fact_expr": "F1: Point;F2: Point;E: Ellipse;LeftFocus(E) = F1;RightFocus(E) = F2;a: Number;b: Number;a > b;b > 0;Expression(E) = (x^2/a^2 + y^2/b^2 = 1);B: Point;C: Point;UpperVertex(E) = B;LowerVertex(E) = C;D: Point;Intersection(LineOf(B,F2),E)={B,D};Cos(AngleOf(F1, B, F2)) = 7/25;Negation(B=D)",
+      "coords": {}
+    },
+    {
+      "index": 4978,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4978.png",
+      "answer": "[1, 7)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + 1);k: Real;G: Ellipse;Expression(G) = (x^2/7 + y^2/a = 1);a: Real;PointOnCurve(Focus(G), xAxis);IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 4979,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4980,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4980.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;O: Origin;M: Point;A: Point;B: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};VectorOf(O, M) = (VectorOf(O, A) + VectorOf(O, B))/2;Z: Line;PointOnCurve(M, Z);IsPerpendicular(yAxis, Z);Intersection(Z, G) = P;Abs(LineSegmentOf(P, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 4981,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4981.png",
+      "answer": "y=pm*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;G: Hyperbola;Expression(G) = (x^2/8 - y^2/p = 1);Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 4982,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4982.png",
+      "answer": "1\n2",
+      "fact_expr": "C1: Hyperbola;C2: Hyperbola;a:Number;b:Number;F: Point;Expression(C1) = (x^2/a^2-y^2/b^2=1);Expression(C2) = (x^2/4-y^2/16=1);Coordinate(F) = (sqrt(5), 0);RightFocus(C1) = F;a>0;b>0;Asymptote(C1)=Asymptote(C2)",
+      "coords": {
+        "F": [
+          2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4983,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.656854249492381,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 32.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4983.png",
+      "answer": "[21/2, 27/2]",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/36 + y^2/32 = 1);Expression(H) = (y^2 + (x - 2)^2 = 1);Expression(C) = (y^2 + (x + 2)^2 = 1/4);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 4984,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4984.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;Expression(C) = (x^2/2 + y^2 = 1);PointOnCurve(P, C);Expression(l)=(x - y + 2*sqrt(3)=0)",
+      "coords": {}
+    },
+    {
+      "index": 4985,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4985.png",
+      "answer": "(pm*3, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/7 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4986,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4986.png",
+      "answer": "6",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (x^2 - y^2/15 = 1);PointOnCurve(P, RightPart(G)) = True;M: Point;N: Point;H1: Circle;Expression(H1) = (y^2 + (x + 4)^2 = 4);H2: Circle;Expression(H2) = (y^2 + (x - 4)^2 = 4);PointOnCurve(M, H1) = True;PointOnCurve(N, H2) = True",
+      "coords": {}
+    },
+    {
+      "index": 4987,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5773502691896257,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.3333333333333333
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4987.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 3*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 4988,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4988.png",
+      "answer": "(4/3)*sqrt(6)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;Coordinate(A) = (2, 0);OneOf(Endpoint(MajorAxis(G))) = A;B: Point;C: Point;IsChordOf(LineSegmentOf(B, C), G);O: Point;Center(G) = O;PointOnCurve(O, LineSegmentOf(B, C));DotProduct(VectorOf(A, C), VectorOf(B, C)) = 0;Abs(-VectorOf(O, B) + VectorOf(O, C)) = 2*Abs(-VectorOf(B, A) + VectorOf(B, C))",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 4989,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_4989.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;H:Parabola;a: Number;M: Point;y0:Number;Expression(G) = (-y^2/3 + x^2/a = 1);Expression(H) = (y^2 = 4*(a*x));Coordinate(M) = (2, y0);Expression(OneOf(Asymptote(G)))= (y = sqrt(3)*x);PointOnCurve(M, H);Focus(H) = F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 4990,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4990.png",
+      "answer": "[sqrt(3)/3, sqrt(2)/2]",
+      "fact_expr": "M: Ellipse;a: Number;b: Number;c: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(M) = F1;RightFocus(M) = F2;PointOnCurve(P, M);c = sqrt(a^2 - b^2);Range(Max(Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)))) = [2*c^2, 3*c^2]",
+      "coords": {}
+    },
+    {
+      "index": 4991,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4992,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4992.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/5 + y^2/4 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 4993,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_4993.png",
+      "answer": "4\n5/2",
+      "fact_expr": "G: Parabola;p: Number;F: Point;A: Point;E: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(F) = (2, 0);Coordinate(A) = (3, 2);Focus(G) = F;l:Line;PointOnCurve(A,l);IsPerpendicular(l,Directrix(G));Intersection(l,G)=E",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ],
+        "A": [
+          3.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 4994,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4995,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_4995.png",
+      "answer": "y=pm*(sqrt(7)/3)*x",
+      "fact_expr": "G: Ellipse;Expression(G)=(x^2/16+y^2/7=1);C:Hyperbola;Focus(C)=Endpoint(MajorAxis(G));Endpoint(RealAxis(C))=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 4996,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.02083333395421505,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_4996.png",
+      "answer": "1/24",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 12*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 4997,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4998,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 4999,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_4999.png",
+      "answer": "x^2 - y^2/(1/2) = 1",
+      "fact_expr": "E: Hyperbola;P: Point;Expression(E) = (x^2/4 - y^2/2 = 1);Coordinate(P) = (3, 2);C: Hyperbola;PointOnCurve(P, C);Expression(Asymptote(C)) = Expression(Asymptote(E))",
+      "coords": {
+        "P": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5000,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5000.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 16*x);PointOnCurve(M, G);Distance(M, xAxis) = 12",
+      "coords": {}
+    },
+    {
+      "index": 5001,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5001.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;H: Line;P: Point;F2: Point;O: Origin;M: Point;Area(TriangleOf(M,F2,O))/Area(TriangleOf(P,M,O))=7;F1: Point;y0:Number;y0>0;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x*(b/a));Coordinate(P) = (0, y0);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(O, P), G);Intersection(G, H) = {O, M};PointOnCurve(M, LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 5002,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5002.png",
+      "answer": "x^2+(y+2)^2=20",
+      "fact_expr": "G: Ellipse;A: Point;D: Point;B: Point;P: Point;Expression(G) = (x^2 + y^2/5 = 1);Coordinate(A) = (0, -2);Coordinate(B) = (0, 2);PointOnCurve(D, G);Abs(LineSegmentOf(P, D)) = Abs(LineSegmentOf(B, D));PointOnCurve(P,OverlappingLine(LineSegmentOf(A,D)))",
+      "coords": {
+        "A": [
+          0.0,
+          -2.0
+        ],
+        "B": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5003,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5004,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5004.png",
+      "answer": "x+pm*y=0;pm*3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);A: Point;RightVertex(C) = A;l: Line;PointOnCurve(A, l) = True;J1: Line;J2: Line;Asymptote(C) = {J1, J2};Intersection(l, J1) = P;Intersection(l, J2) = Q;P: Point;Q: Point;LineSegmentOf(P, A) = 2*LineSegmentOf(A, Q)",
+      "coords": {}
+    },
+    {
+      "index": 5005,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5005.png",
+      "answer": "x=-1",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = 4*x);PointOnCurve(Focus(C), l);A: Point;B: Point;Intersection(l, C) = {A, B};Z1: Line;Z2: Line;TangentOfPoint(A, C) = Z1;TangentOfPoint(B, C) = Z2;P: Point;Intersection(Z1, Z2) = P",
+      "coords": {}
+    },
+    {
+      "index": 5006,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5006.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;G: Ellipse;I: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(I) = (4, 2);MidPoint(InterceptChord(l, G)) = I",
+      "coords": {
+        "I": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5007,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5008,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5009,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5010,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5010.png",
+      "answer": "-1/3",
+      "fact_expr": "L: Line;Slope(L) = 1/2;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);Intersection(L,G) = {A,B};A: Point;B: Point;M: Point;MidPoint(LineSegmentOf(A, B)) = M;Coordinate(M) = (m, 1/2);m: Number",
+      "coords": {}
+    },
+    {
+      "index": 5011,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5011.png",
+      "answer": "(-1, 0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5012,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5012.png",
+      "answer": "8/3",
+      "fact_expr": "l: Line;C: Parabola;F: Point;M: Point;P: Point;Q: Point;Expression(C) = (y^2 = 8*x);Focus(C)=F;PointOnCurve(F,l);Intersection(l, C) = {P, Q};Intersection(l,Directrix(C))=M;VectorOf(F, M) = 3*VectorOf(F, P)",
+      "coords": {}
+    },
+    {
+      "index": 5013,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5013.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;P: Point;F1:Point;F2: Point;Q: Point;Expression(G) = (x^2 - y^2/4 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1, l);Intersection(l, LeftPart(G)) = {P, Q};Abs(LineSegmentOf(P, Q)) = 4;l:Line",
+      "coords": {}
+    },
+    {
+      "index": 5014,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5014.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (x^2/2 - y^2/m = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5015,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5016,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5016.png",
+      "answer": "32",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (x^2/7 - y^2/9 = 1);RightFocus(G) = F;Intersection(Directrix(H), xAxis) = K;K: Point;A: Point;PointOnCurve(A, H) = True;Abs(LineSegmentOf(A, K)) = sqrt(2)*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 5017,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5017.png",
+      "answer": "(pm*1)+[-sqrt(5)/2,]",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 4);Expression(H) = (y = k*x - 1);IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 5018,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5018.png",
+      "answer": "(0, pm*2)",
+      "fact_expr": "G: Curve;Expression(G) = (x^2 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5019,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5019.png",
+      "answer": "(2, 2)",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G);WhenMin(LineSegmentOf(P, A) + LineSegmentOf(P, F))",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5020,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5021,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_5021.png",
+      "answer": "x^2/16 - y^2/48 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 32*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5022,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5022.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5023,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5024,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5024.png",
+      "answer": "32",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (y^2 = 4*x);Coordinate(P) = (4, 0);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(P, H);Intersection(H, G) = {A,B}",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5025,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5025.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;p: Number;H: Line;l: Line;A: Point;B: Point;C: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Directrix(G) = l;Intersection(H, l) = C;VectorOf(C, F) = 2*VectorOf(F, A);LineSegmentOf(A, F) = 8",
+      "coords": {}
+    },
+    {
+      "index": 5026,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5026.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 3*y^2 = 6)",
+      "coords": {}
+    },
+    {
+      "index": 5027,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5028,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5028.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;Expression(G) = (y^2 = 2*(p*x));Distance(Focus(G),Directrix(G))=1;H:LineSegment;PointOnCurve(Focus(G),H);IsChordOf(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 5029,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5030,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5030.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5031,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5031.png",
+      "answer": "x^2/8-y^2=1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(C) = F;F: Point;Coordinate(F) = (3, 0);Distance(F,OneOf(Asymptote(C))) = 1",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5032,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5032.png",
+      "answer": "13",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/100 + y^2/64 = 1);PointOnCurve(P, G);Distance(P, LeftFocus(G)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 5033,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5033.png",
+      "answer": "(\\sqrt{5} - 1)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: LineSegment;PointOnCurve(Focus(G),H);a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);IsPerpendicular(MajorAxis(G), H);IsChordOf(H, G) ;FocalLength(G) = Length(H)",
+      "coords": {}
+    },
+    {
+      "index": 5034,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5034.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "E: Hyperbola;a: Number;b: Number;C: Circle;a>0;b>0;Expression(E) = (-x^2/b^2 + y^2/a^2 = 1);Expression(C) = (-16*y + x^2 + y^2 + 48 = 0);IsTangent(C, Asymptote(E))",
+      "coords": {}
+    },
+    {
+      "index": 5035,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5035.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (sqrt(3)*x - y + sqrt(3) = 0);IsParallel(OneOf(Asymptote(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 5036,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5036.png",
+      "answer": "sqrt(21)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, Asymptote(G));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2));AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5037,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5037.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F2: Point;F1: Point;O: Origin;N: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P,C);Quadrant(P)=2;Intersection(LineSegmentOf(P, F2), yAxis) = N;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(LineSegmentOf(F1, F2)) = 4*Abs(LineSegmentOf(O, N))",
+      "coords": {}
+    },
+    {
+      "index": 5038,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5038.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;p: Number;P: Point;m:Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(P) = (2, m);PointOnCurve(P,G);Distance(P,yAxis)=Distance(P,Focus(G))/2",
+      "coords": {}
+    },
+    {
+      "index": 5039,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5039.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;O: Origin;M: Point;F: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F,G);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(G,L1)=M;Intersection(G,L2)=N;DotProduct(VectorOf(O, M), VectorOf(M, F)) = 0;Abs(LineSegmentOf(M, N)) = b",
+      "coords": {}
+    },
+    {
+      "index": 5040,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5040.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "F: Point;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;RightFocus(C) = F;G: Line;Expression(G) = (y = x*b/a);Intersection(G, C) = {A, B};A: Point;B: Point;Cos(AngleOf(A, F, B)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 5041,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5041.png",
+      "answer": "(x-\\sqrt{5})^2+y^2=1",
+      "fact_expr": "G: Hyperbola;H:Circle;Expression(G) = (x^2/4 - y^2 = 1);RightFocus(G)=Center(H);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 5042,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5042.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y = x^2/4);Slope(H)=1;PointOnCurve(Focus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 5043,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5043.png",
+      "answer": "6",
+      "fact_expr": "Gamma: Ellipse;O: Origin;P: Point;F: Point;Expression(Gamma) = (x^2/4 + y^2/3 = 1);LeftFocus(Gamma) = F;PointOnCurve(P, Gamma)",
+      "coords": {}
+    },
+    {
+      "index": 5044,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5044.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;E: Point;B: Point;D: Point;Q: Point;F: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(Q) = (-p/2, 0);Focus(C) = F;Directrix(C) = l;PointOnCurve(Q, G);Intersection(G, C) = {A, B};L1:Line;L2:Line;PointOnCurve(A, L1);PointOnCurve(B,L2);Intersection(l,L1)=D;Intersection(l, L2)=E;Slope(LineSegmentOf(A, E))=k1;Slope(LineSegmentOf(B, D)) = k2;k1:Number;k2:Number;IsPerpendicular(l,L1);IsPerpendicular(l,L2)",
+      "coords": {}
+    },
+    {
+      "index": 5045,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5045.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;B: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(B) = (3, 2);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "B": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5046,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5046.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;c: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = (2*sqrt(3))/3;FocalLength(G) = 2*c;2*a^2 = 3*c;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 2;LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 5047,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5048,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5048.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;G: Circle;A: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(A, C);Abs(LineSegmentOf(A, F)) = 3;Center(G)=A;Radius(G)=LineSegmentOf(A,F)",
+      "coords": {}
+    },
+    {
+      "index": 5049,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5049.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;O: Origin;A: Point;B: Point;Expression(H) = (y^2 = 8*x);Focus(H)=F;OneOf(Focus(G))=F;Intersection(Directrix(H), G) = {A, B};Area(TriangleOf(O,A,B))=6;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 5050,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5050.png",
+      "answer": "4/3",
+      "fact_expr": "G: Parabola;P: Point;F: Point;A: Point;O: Origin;l: Line;Expression(G) = (x^2 = 4*y);Focus(G) = F;Directrix(G)=l;PointOnCurve(P,G);PointOnCurve(P,LineSegmentOf(P,A));IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l) = A;AngleOf(A, F, O) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5051,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5051.png",
+      "answer": "x^2/12 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(OneOf(Asymptote(G)))=(x + sqrt(3)*y = 0);Expression(H)=(y^2=16*x);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5052,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5052.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 12*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 5053,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5053.png",
+      "answer": "-1/2",
+      "fact_expr": "C: Ellipse;A: Point;M: Point;B: Point;Expression(C) = (x^2/4 + y^2/2 = 1);Intersection(C, xAxis) = {A, B};PointOnCurve(M, C);Negation(M = A);Negation(M = B);Slope(LineOf(M,A))=k1;Slope(LineOf(M,B))=k2;k1:Number;k2:Number",
+      "coords": {}
+    },
+    {
+      "index": 5054,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5054.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Parabola;A: Point;B: Point;e: Number;l:Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (4*x^2=y);Directrix(H)=l;Intersection(l,Asymptote(C))={A, B};Abs(LineSegmentOf(A, B)) = 1/8;Eccentricity(C)=e",
+      "coords": {}
+    },
+    {
+      "index": 5055,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5055.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5056,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5056.png",
+      "answer": "(-1/4,1)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y^2 = -4*x);Coordinate(A) = (-2, 1);PointOnCurve(P, G);WhenMin(Distance(P,F)+Distance(P,A));Focus(G)=F;F:Point",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5057,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5057.png",
+      "answer": "1",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5058,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5059,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5059.png",
+      "answer": "4/5",
+      "fact_expr": "F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P,RightPart(G)) = True;Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Expression(Asymptote(G)) = (4*x+pm*3*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5060,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5060.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 14",
+      "coords": {}
+    },
+    {
+      "index": 5061,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5061.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "H: Circle;Expression(H) = (4*y + x^2 + y^2 = 0);G: Parabola;Expression(G) = (x^2 = 4*y)",
+      "coords": {}
+    },
+    {
+      "index": 5062,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5062.png",
+      "answer": "ApplyUnit(60,degree)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);PointOnCurve(P, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 5063,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5063.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;Expression(G) = (y^2 = 4*x);Intersection(l, G) = {A, B};Coordinate(MidPoint(LineSegmentOf(A,B)))=(3,2)",
+      "coords": {}
+    },
+    {
+      "index": 5064,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5064.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;B: Point;F: Point;D: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;OneOf(Endpoint(MinorAxis(C)))=B;Intersection(OverlappingLine(LineSegmentOf(B,F)), C) = D;VectorOf(B, F) = 2*VectorOf(F, D)",
+      "coords": {}
+    },
+    {
+      "index": 5065,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5065.png",
+      "answer": "{(3,6),(3,-6)}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x);P:Point;Distance(P,Focus(G))=6;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5066,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5066.png",
+      "answer": "-1",
+      "fact_expr": "G: Hyperbola;H: Circle;P: Point;F: Point;M: Point;N: Point;O: Origin;Expression(G) = (x^2/16 - y^2/25 = 1);Expression(H) = (x^2 + y^2 = 16);LeftFocus(G) = F;PointOnCurve(P, RightPart(G));TangentPoint(LineSegmentOf(P, F), H) = N;MidPoint(LineSegmentOf(P, F)) = M",
+      "coords": {}
+    },
+    {
+      "index": 5067,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5067.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;N: Point;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (-2, 0);LeftFocus(G)=F;L:Line;PointOnCurve(F,L);IsPerpendicular(L,L1);FootPoint(L,L1)=N;VectorOf(M, N) = VectorOf(N, F);L1:Line;L2:Line;Intersection(L,L2)=M;OneOf(Asymptote(G))=L1;OneOf(Asymptote(G))=L2;Negation(L1=L2)",
+      "coords": {
+        "F": [
+          -2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5068,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5068.png",
+      "answer": "(2*a^2*Abs(k)/(1 + a^2*k^2))*sqrt(1 + k^2)",
+      "fact_expr": "G: Ellipse;a: Number;H: Line;k: Number;a>1;Expression(G) = (y^2 + x^2/a^2 = 1);Expression(H) = (y = k*x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 5069,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5069.png",
+      "answer": "x^2/9+y^2/8=1",
+      "fact_expr": "M: Circle;C1:Circle;Expression(C1)=((x+1)^2+y^2=25);C2:Circle;Expression(C2)=((x-1)^2+y^2=1);IsInTangent(M,C1);IsOutTangent(M,C2);M1:Point;Center(M)=M1",
+      "coords": {}
+    },
+    {
+      "index": 5070,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5070.png",
+      "answer": "5/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;T: Point;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);TangentPoint(l, G) = T;Intersection(l, RightPart(C)) = P;VectorOf(T, P) = 3*VectorOf(F1, T)",
+      "coords": {}
+    },
+    {
+      "index": 5071,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5071.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);IsPerpendicular(LineSegmentOf(A, B), xAxis);Abs(LineSegmentOf(A, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5072,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5072.png",
+      "answer": "-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;Expression(Directrix(G)) = (x = 1/2)",
+      "coords": {}
+    },
+    {
+      "index": 5073,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5073.png",
+      "answer": "x^2/9-y^2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/16 + y^2/6 = 1);Focus(G) = Focus(H);Expression(Asymptote(G)) = (y = pm*(x/3))",
+      "coords": {}
+    },
+    {
+      "index": 5074,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5075,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5075.png",
+      "answer": "[sqrt(2)/2,sqrt(5)/3]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;lambda: Number;Abs(LineSegmentOf(P, F1)) = lambda*Abs(LineSegmentOf(P, F2));1/2 <= lambda;lambda <= 2;AngleOf(F1, P, F2) = pi/2",
+      "coords": {}
+    },
+    {
+      "index": 5076,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5077,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_5077.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;Expression(OneOf(Asymptote(G))) = (y = 2*x);H: Parabola;Expression(H) = (y^2 = 4*x);PointOnCurve(Focus(H), G)",
+      "coords": {}
+    },
+    {
+      "index": 5078,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5078.png",
+      "answer": "7/4",
+      "fact_expr": "M: Point;N: Point;Length(LineSegmentOf(M, N)) = 4;Endpoint(LineSegmentOf(M, N)) = {M, N};G: Parabola;Expression(G) = (y^2 = x);PointOnCurve(M, G);PointOnCurve(N, G);P: Point;MidPoint(LineSegmentOf(M, N)) = P",
+      "coords": {}
+    },
+    {
+      "index": 5079,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5079.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;A: Point;B: Point;PointOnCurve(F1, H);Intersection(H, G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 5080,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5080.png",
+      "answer": "2/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 5081,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5081.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;H: Line;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);Expression(H) = (x - sqrt(3)*y + 4 + sqrt(3) = 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, H);WhenMax(AngleOf(F1,P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 5082,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5082.png",
+      "answer": "x + 2*y-2 = 0",
+      "fact_expr": "M: Ellipse;Expression(M) = (x^2/4 + y^2 = 1);l: Line;Intersection(l, M) = {A, B};A: Point;B: Point;D: Point;Coordinate(D) = (1, 1/2);IsChordOf(LineSegmentOf(A,B),M) ;MidPoint(LineSegmentOf(A, B)) = D",
+      "coords": {
+        "D": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 5083,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5083.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2/4);PointOnCurve(P,RightPart(G));LeftFocus(G)=F1;RightFocus(G)=F2;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;NumIntersection(LineOf(P,F1), H) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5084,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5084.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);FocalLength(C) = 4;P:Point;PointOnCurve(P,C);Max(Distance(P,OneOf(Focus(C))))=5",
+      "coords": {}
+    },
+    {
+      "index": 5085,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5085.png",
+      "answer": "sqrt(34)-1",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G) = True;Projection(P, yAxis) = Q;Q: Point;M: Point;Coordinate(M) = (4, 5)",
+      "coords": {
+        "M": [
+          4.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 5086,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5086.png",
+      "answer": "5",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = 16*x);PointOnCurve(P, G);Distance(P, Directrix(G)) = d;d: Number;Q: Point;Coordinate(Q) = (0, -3)",
+      "coords": {
+        "Q": [
+          0.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 5087,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5087.png",
+      "answer": "16/3",
+      "fact_expr": "C: Circle;G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(OneOf(Vertex(G)), C);PointOnCurve(OneOf(Focus(G)), C);PointOnCurve(Center(C), G)",
+      "coords": {}
+    },
+    {
+      "index": 5088,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5089,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 6.708203932499369,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5089.png",
+      "answer": "25",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2:Point;Expression(G) = (x^2/36 - y^2/45 = 1);PointOnCurve(P, G);LeftFocus(G) =F1;RightFocus(G)=F2;Distance(P, F1) = 13",
+      "coords": {}
+    },
+    {
+      "index": 5090,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5090.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,F2),xAxis);Slope(LineOf(P,F1)) = sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 5091,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5091.png",
+      "answer": "(pm*sqrt(5),0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5092,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5093,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5094,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5094.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;a: Number;P: Point;A: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;RightVertex(G)=A;PointOnCurve(P,l);PointOnCurve(A,l);IsPerpendicular(l,xAxis);WhenMin(Area(CircumCircle(TriangleOf(F1,F2,P))));Length(LineSegmentOf(P,A))=HalfFocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 5095,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5095.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5096,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5096.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;M: Parabola;A: Point;B: Point;F: Point;Expression(G) = (x^2 - y^2 = 1);Expression(M) = (y^2 = 8*x);Focus(M) = F;Intersection(OneOf(Asymptote(G)), M) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5097,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          1.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5097.png",
+      "answer": "pm*(sqrt(3)/2)",
+      "fact_expr": "G: Circle;Q: Curve;a: Number;A: Point;B: Point;Expression(Q) = (x^2/(2*a^2) - y^2/a^2 = 1)&(x>0);Expression(G)=((x-2)^2+(y-1)^2=1);PointOnCurve(A, Q);PointOnCurve(B, Q);IsDiameter(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 5098,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5098.png",
+      "answer": "y=pm*((sqrt(5)+1)/2)*x",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;P: Point;Q: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1,l);IsPerpendicular(l,OneOf(Asymptote(C)));Intersection(l,LeftPart(C))=Q;Intersection(l,RightPart(C))=P;-Abs(LineSegmentOf(P, F2)) + Abs(LineSegmentOf(P, Q)) = a",
+      "coords": {}
+    },
+    {
+      "index": 5099,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5099.png",
+      "answer": "y = pm*x*sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;H: Point;Expression(G) = (x^2/4 - y^2/b = 1);Coordinate(H) = (3, 0);RightFocus(G) = H",
+      "coords": {
+        "H": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5100,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5100.png",
+      "answer": "(x^2/(1/4)-y^2/(15/4)=1)&(x<0)",
+      "fact_expr": "G: Circle;Expression(G) = (y^2 + (x + 2)^2 = 1);C:Circle;Expression(C)=((x-2)^2+y^2=4);H:Circle;IsOutTangent(H,G);IsOutTangent(H,C)",
+      "coords": {}
+    },
+    {
+      "index": 5101,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5101.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;A: Point;F2: Point;B: Point;C: Point;F1: Point;a > b;b > 0;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);UpperFocus(G) = F1;LowerFocus(G) = F2;PointOnCurve(F1, H);IsPerpendicular(H, yAxis);Intersection(H, G) = {A, B};Intersection(LineOf(A,F2),G)={A,C};Area(TriangleOf(A, B, C)) = 3*Area(TriangleOf(B, C, F2));Negation(A=C)",
+      "coords": {}
+    },
+    {
+      "index": 5102,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5102.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);Distance(F, Directrix(C)) = Length(MajorAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 5103,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5103.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);M: Point;Coordinate(M) = (-1, 1);L: Line;PointOnCurve(Focus(C), L) = True;Slope(L) = k;k: Real;Intersection(L, C) = {A, B};A: Point;B: Point;DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5104,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5104.png",
+      "answer": "x^2=-24*y",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;SymmetryAxis(G) = yAxis;H: Line;Expression(H) = (3*x - 4*y - 24 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 5105,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5106,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5106.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (x + pm*sqrt(3)*y = 0);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 5107,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5108,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5108.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;Q: Point;O: Origin;F: Point;P: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(P, G);Focus(G)=F;PointOnCurve(Q, LineSegmentOf(P,F));2*Abs(VectorOf(P, Q)) = Abs(VectorOf(Q, F))",
+      "coords": {}
+    },
+    {
+      "index": 5109,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5110,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5110.png",
+      "answer": "24",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;H: Point;Coordinate(H) = (m, 3);m: Number;PointOnCurve(H, G);Distance(H, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5111,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5111.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Line;Expression(G) = (y = k*x - 2);k: Number;k>0;C: Parabola;Expression(C) = (x^2 = 8*y);A: Point;B: Point;Intersection(G, C) = {A, B};F: Point;Focus(C) = F;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 5112,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          -2.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5112.png",
+      "answer": "3/4",
+      "fact_expr": "C1: Circle;C:Hyperbola;a: Number;a>0;Expression(C) = (-y^2 + x^2/a^2 = 1);Expression(C1) = ((x - 1)^2 + (y + 2)^2 = 4);IsTangent(OneOf(Asymptote(C)),C1);Quadrant(TangentPoint(OneOf(Asymptote(C)),C1))=3",
+      "coords": {}
+    },
+    {
+      "index": 5113,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5113.png",
+      "answer": "y^2/2 - x^2/4 = 1",
+      "fact_expr": "G: Hyperbola;C: Hyperbola;A: Point;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(A) = (-2, 2);PointOnCurve(A, C);Asymptote(G) = Asymptote(C)",
+      "coords": {
+        "A": [
+          -2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5114,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5114.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/5 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5115.png",
+      "answer": "8/3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 3*VectorOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 5116,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5117,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5118,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5118.png",
+      "answer": "pm*p/2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;M: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (xm, ym);xm:Number;ym:Number;Focus(G) = F;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F, LineSegmentOf(A, B));MidPoint(LineSegmentOf(A, B)) = M;xm = (3/4)*p",
+      "coords": {}
+    },
+    {
+      "index": 5119,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5119.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Asymptote(G) = {l1, l2};l1: Line;l2: Line;PointOnCurve(F2, V) = True;IsPerpendicular(V, l1) = True;V: Line;Intersection(V, l1) = P;Intersection(V, l2) = Q;P: Point;Q: Point;O: Origin;VectorOf(O, F2) + VectorOf(O, Q) = 2*VectorOf(O, P)",
+      "coords": {}
+    },
+    {
+      "index": 5120,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5120.png",
+      "answer": "{1/3, 3}",
+      "fact_expr": "C: Ellipse;G: Line;A: Point;B: Point;F1: Point;F2: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(F2, G);Intersection(G, C) = {A, B};Area(TriangleOf(A, B, F1)) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 5121,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5121.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;P: Point;Expression(G) = (x^2/2 - y^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 4*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5122,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5122.png",
+      "answer": "sqrt(17)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;B: Point;F: Point;C: Point;O:Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);PointOnCurve(O,LineSegmentOf(A,B));RightFocus(G)=F;PointOnCurve(F,LineSegmentOf(A,C));IsPerpendicular(LineSegmentOf(B, F), LineSegmentOf(A, C));3*Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(A, C))",
+      "coords": {}
+    },
+    {
+      "index": 5123,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5124,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5124.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;a: Number;a>0;Expression(C) = (-y^2/5 + x^2/a^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5125,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5125.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;H: Line;Expression(H) = (x = -a^2/c);c: Number;PointOnCurve(P, H);Negation(PointOnCurve(P, axis));Max(AngleOf(F1, P, F2)) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 5126,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5126.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Hyperbola;F1: Point;P: Point;F2: Point;Expression(C) = (x^2 - y^2 = 2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5127,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5128,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5129,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5129.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;C: Point;Intersection(Directrix(G), xAxis) = C;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};AngleOf(C, B, F) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5130,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5130.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/a^2+y^2/b^2=1);a: Number;b: Number;a>b;b>0;Eccentricity(C) = sqrt(3)/2;F: Point;RightFocus(C) = F;G: Line;PointOnCurve(F, G);k: Number;k>0;Slope(G) = k;A: Point;B: Point;Intersection(G, C) = {A, B};VectorOf(A, F) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 5131,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5131.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;A: Point;Quadrant(A) = 1;PointOnCurve(A, G);Abs(LineSegmentOf(A, F)) = 2;P: Point;PointOnCurve(P, Directrix(G));WhenMin(Abs(LineSegmentOf(P, A))+ Abs(LineSegmentOf(P, F)))",
+      "coords": {}
+    },
+    {
+      "index": 5132,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5133,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5134,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5134.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;A: Point;F: Point;B: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;In(A, l);Intersection(LineSegmentOf(A,F), C) = B;VectorOf(F, A) = 3*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 5135,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5136,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5137,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5137.png",
+      "answer": "(1,\\sqrt{5}/2]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P:Point;PointOnCurve(P, RightPart(C)) = True;L1: Line;L2: Line;PointOnCurve(P, L1) = True;PointOnCurve(P, L2) = True;J1: Line;J2: Line;Asymptote(C) = {J1, J2};IsParallel(L1, J1) = True;IsParallel(L2, J2) = True;Intersection(L1, J2) = M;Intersection(L2, J1) = N;M: Point;N: Point;O: Origin;Area(TriangleOf(O, M, N)) = S;S: Number;S >= b^2/2",
+      "coords": {}
+    },
+    {
+      "index": 5138,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5139,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5140,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5141,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5141.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;LeftVertex(G) = A;I: Point;Coordinate(I) = (-6/5, 0);M: Point;N: Point;PointOnCurve(I, LineOf(M, N));Intersection(LineOf(M, N), G) = {M, N};Negation(A=M);Negation(A=N);k1: Number;Slope(LineOf(A, M)) = k1;k2: Number;Slope(LineOf(A, N)) = k2",
+      "coords": {
+        "I": [
+          -1.2,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5142,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5143,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5143.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;C: Parabola;G: Circle;B: Point;A: Point;F: Point;Expression(C) = (y^2 = 2*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, F));IsDiameter(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 5144,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5145,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5145.png",
+      "answer": "{y^2=12*x, y^2=-4*x}",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;PointOnCurve(Focus(G), xAxis);H: Line;Expression(H) = (2*x - y + 1 = 0);Length(InterceptChord(H, G)) = sqrt(15)",
+      "coords": {}
+    },
+    {
+      "index": 5146,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5146.png",
+      "answer": "8*x+9*y-25=0",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2/4 = 1);P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, l) = True;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5147,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5147.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(M, G);IsPerpendicular(LineSegmentOf(M, N), xAxis);Intersection(LineSegmentOf(M, N), xAxis) = N;Abs(LineSegmentOf(M, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5148,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5148.png",
+      "answer": "-2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);A1: Point;LeftVertex(G) = A1;F2: Point;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 5149,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5149.png",
+      "answer": "{x^2 = 2*y, x^2 = 4*y}",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;M: Point;p>0;Expression(G) = (x^2 = 2*(p*y));Coordinate(M) = (2, -2*p);l1: Line;l2: Line;TangentOfPoint(M, G) = {l1, l2};TangentPoint(l1, G) = A;TangentPoint(l2, G) = B;YCoordinate(MidPoint(LineSegmentOf(A, B))) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5150,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5150.png",
+      "answer": "y^2 = -6x",
+      "fact_expr": "G: Parabola;C:Curve;O:Origin;Expression(C)=(2*x-4*y+3=0);SymmetryAxis(G)=xAxis;Vertex(G)=O;PointOnCurve(Focus(G),C)",
+      "coords": {}
+    },
+    {
+      "index": 5151,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5151.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "H: Circle;Expression(H) = ((x - sqrt(3))^2 + (y - 1)^2 = 9);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Intersection(H,Asymptote(G)) = {A,B};Quadrant(A) = 2;Quadrant(B) = 4;A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 2*sqrt(6)",
+      "coords": {}
+    },
+    {
+      "index": 5152,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5152.png",
+      "answer": "25",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5153,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5153.png",
+      "answer": "8*sqrt(2)/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);F1: Point;LeftFocus(G) = F1;l: Line;PointOnCurve(F1, l) = True;Inclination(l) = ApplyUnit(60, degree);Intersection(l, G) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 5154,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.47213595499958,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 20.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5154.png",
+      "answer": "4",
+      "fact_expr": "F: Point;C: Ellipse;Expression(C) = (x^2/20 + y^2/4 = 1);RightFocus(C) = F;P: Point;PointOnCurve(P, C) = True;A: Point;Coordinate(A) = (-2, 1);WhenMin(Perimeter(TriangleOf(A, P, F))) = True",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5155,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5156,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5157,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5157.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Point;x0:Number;y0:Number;Expression(G) = (y^2 = 8*x);Coordinate(H) = (x0, y0);PointOnCurve(H, G);Distance(H, Focus(G)) = x0^2",
+      "coords": {}
+    },
+    {
+      "index": 5158,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5158.png",
+      "answer": "1",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);M: Point;PointOnCurve(M, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 5159,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5160,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5161,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5161.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 4*y);F: Point;Focus(C) = F;P: Point;G: Line;Expression(G) = (x - y - 2 = 0);PointOnCurve(P, G);TangentOfPoint(P, C) = {LineOf(P, A), LineOf(P, B)};TangentPoint(LineOf(P, A), C) = A;TangentPoint(LineOf(P, B), C) = B;B: Point;A: Point;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 5162,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5163,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5164,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5164.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(H) = (-3, 2*sqrt(3));Asymptote(G) = Asymptote(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          -3.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 5165,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5165.png",
+      "answer": "x-y-2=0",
+      "fact_expr": "G: Parabola;H: LineSegment;A: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (4, 2);MidPoint(H)=A;IsChordOf(H,G)",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5166,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5166.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/n + x^2/m = 1);m: Number;n: Number;m>0;n>0;Eccentricity(G) = 2;H: Parabola;Expression(H) = (y^2 = 4*(m*x));OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5167,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5167.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5168,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5168.png",
+      "answer": "2*sqrt(3) - 3",
+      "fact_expr": "G: Hyperbola;H: Circle;M: Point;T: Point;F: Point;P: Point;O: Origin;Expression(G) = (x^2/9 - y^2/12 = 1);Expression(H) = (x^2 + y^2 = 9);LeftFocus(G)=F;IsTangent(LineOf(M, T), H);PointOnCurve(F, LineOf(M, T));TangentPoint(LineOf(M,T),H)=T;Intersection(LineOf(M,T),RightPart(G))=M;MidPoint(LineSegmentOf(M, F)) = P",
+      "coords": {}
+    },
+    {
+      "index": 5169,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5170.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;l1:Line;F: Point;B: Point;A: Point;l2: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F;Asymptote(G)={l1,l2};PointOnCurve(F,l);IsPerpendicular(l,l1);Intersection(l,l1)=A;Intersection(l,l2)=B;VectorOf(F, B) = 3*VectorOf(A, F)",
+      "coords": {}
+    },
+    {
+      "index": 5171,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5171.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, G);IsPerpendicular(LineSegmentOf(A, F2), xAxis);Abs(LineSegmentOf(A, F1))/Abs(LineSegmentOf(A, F2)) = 5/3",
+      "coords": {}
+    },
+    {
+      "index": 5172,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5172.png",
+      "answer": "{2,18}",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*p*x);Slope(l)=1;Focus(G)=F;Expression(H) = (y^2 + (x - 5)^2 = 8);IsTangent(l,H);F:Point;PointOnCurve(F,l)",
+      "coords": {}
+    },
+    {
+      "index": 5173,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5173.png",
+      "answer": "(1,\\sqrt{2}]",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;C: Parabola;p: Number;A: Point;B: Point;F: Point;k:Number;k>=sqrt(2);a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(C) = (y^2 = 2*p*x);Focus(C)=F;PointOnCurve(F,l);Intersection(l,Directrix(C))=A;OneOf(Intersection(l,C))=B;VectorOf(A, B) = k*VectorOf(B, F);IsPerpendicular(l,OneOf(Asymptote(G)))",
+      "coords": {}
+    },
+    {
+      "index": 5174,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5174.png",
+      "answer": "3/4",
+      "fact_expr": "G: Parabola;H: Line;M: Point;N: Point;F:Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G)=(y^2 = x);Coordinate(M)=(x1,y1);Coordinate(N)=(x2,y2);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G)={M,N};x1+x2=1",
+      "coords": {}
+    },
+    {
+      "index": 5175,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5175.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;p>0;Expression(G) = (y^2 = 2*(p*x));P: Point;XCoordinate(P) = 4;PointOnCurve(P, G);Distance(P, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5176,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5177,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5177.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;H: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = 2;Center(G)=O;O:Origin;Vertex(G)=Focus(H);Focus(G)=Vertex(H)",
+      "coords": {}
+    },
+    {
+      "index": 5178,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5178.png",
+      "answer": "x^2/11 - y^2/(99/16) = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(H) = (3*sqrt(3), -3);Asymptote(C) = Asymptote(G);PointOnCurve(H, C)",
+      "coords": {
+        "H": [
+          5.196152422706632,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 5179,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5179.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, Asymptote(C));IsPerpendicular(LineSegmentOf(M, F1), LineSegmentOf(M, F2));Abs(LineSegmentOf(M, F1)) = 2*b + Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5180,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5181,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5181.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;F: Point;A: Point;B: Point;N: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C)=F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Projection(A,Directrix(C))=M;Projection(B, Directrix(C)) = N;Area(TriangleOf(M,F,N))/Area(TriangleOf(A,F,M))=lambda;Area(TriangleOf(B,F,N))/Area(TriangleOf(M,F,N))=mu;lambda:Number;mu:Number",
+      "coords": {}
+    },
+    {
+      "index": 5182,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5182.png",
+      "answer": "[sqrt(2)/2, 1]",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;PointOnCurve(P, G) = True;A: Point;Coordinate(A) = (-1, 0)",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5183,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5183.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Ellipse;C1:Hyperbola;b: Number;b>0;Expression(C1) = (x^2/4 - y^2/b^2 = 1);Expression(C) = (x^2/16 + y^2/12 = 1);InterReciprocal(Eccentricity(C1), Eccentricity(C))",
+      "coords": {}
+    },
+    {
+      "index": 5184,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5184.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/a^2 + y^2/b^2 = 1);b: Number;a: Number;a > b;b > 0;H: Circle;Expression(H) = (x^2 + y^2 = a^2 - b^2);P: Point;OneOf(Intersection(C1,H))=P;F2: Point;F1: Point;LeftFocus(C1) = F1;RightFocus(C1) = F2;2*AngleOf(P, F2, F1) = AngleOf(P, F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 5185,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 3.1622776601683795,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5185.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Real;Expression(G) = (x^2/6 - y^2/10 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5186,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5186.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 8*x);IsChordOf(LineSegmentOf(A, B), G);a: Number;Coordinate(MidPoint(LineSegmentOf(A, B))) = (4, a);PointOnCurve(Focus(G), LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 5187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5187.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5188.png",
+      "answer": "4*sqrt(10)-8",
+      "fact_expr": "G: Circle;H:Curve;M: Point;P: Point;Q: Point;Expression(G) = (x^2 + (y - 2)^2 = 1);Expression(H) = (x^2 = 8*y);Coordinate(M) = (0, 5);PointOnCurve(M,H);PointOnCurve(Q, G);PointOnCurve(P,H)",
+      "coords": {
+        "M": [
+          0.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 5189,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5189.png",
+      "answer": "x^2/25 + y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;C: Ellipse;H: Point;Expression(G) = (x^2/4 - y^2/5 = 1);Coordinate(H) = (5, 0);Center(G) = Center(C);Focus(G) = Focus(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5190,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5190.png",
+      "answer": "(-\\infty,-1/3)+(1/3,+\\infty)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/(4*k^2) + x^2/(9*k^2) = 1);k: Real;H: Circle;Expression(H) = (x^2 + y^2 = 1);NumIntersection(G,H)=0",
+      "coords": {}
+    },
+    {
+      "index": 5191,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5191.png",
+      "answer": "(-2, 0)  \nx = 2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -8*x)",
+      "coords": {}
+    },
+    {
+      "index": 5192,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5192.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;A1: Point;F: Point;B: Point;B1: Point;l1: Line;l: Line;l2: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};PointOnCurve(A, l1);PointOnCurve(B, l2);IsPerpendicular(l1, l);IsPerpendicular(l2, l);FootPoint(l1, l) = A1;FootPoint(l2, l) = B1;Area(TriangleOf(A, A1, F)) = 9;Area(TriangleOf(B, B1, F)) = 1;Directrix(C) = l",
+      "coords": {}
+    },
+    {
+      "index": 5193,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5193.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 5194,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5194.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);Focus(C) = F;F: Point;l: Line;Intersection(l,C) = {A,B};A: Point;B: Point;Intersection(PerpendicularBisector(LineSegmentOf(A,B)),xAxis) = P;P: Point;Coordinate(P) = (4, 0)",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5195,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5195.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;A1: Point;P: Point;A2: Point;Expression(G) = (x^2 - y^2 = 1);Vertex(G)={A1,A2};PointOnCurve(P, G);Slope(LineOf(P,A1)) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 5196,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5196.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/b^2 = 1);b: Number;b>0;Expression(OneOf(Asymptote(G))) = (3*x + 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5197,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5197.png",
+      "answer": "[2,2*sqrt(2)]",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/2 + y^2 = 1);Coordinate(P) = (x0, y0);Focus(C) = {F1,F2};0<x0^2/2+y0^2;x0^2/2+y0^2<1;x0:Number;y0:Number",
+      "coords": {}
+    },
+    {
+      "index": 5198,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5198.png",
+      "answer": "sqrt(15)/5",
+      "fact_expr": "C: Hyperbola;F1: Point;P: Point;F2: Point;Expression(C) = (x^2/4 - y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5199,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5199.png",
+      "answer": "1",
+      "fact_expr": "C: Parabola;p: Number;A: Point;B: Point;M: Point;N: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(A,C);PointOnCurve(B,C);AngleOf(A, F, B) = ApplyUnit(60, degree);IsChordOf(LineSegmentOf(A, B), C);MidPoint(LineSegmentOf(A, B)) = M;PointOnCurve(M,LineSegmentOf(M,N));IsPerpendicular(Directrix(C),LineSegmentOf(M,N));FootPoint(Directrix(C),LineSegmentOf(M,N))=N",
+      "coords": {}
+    },
+    {
+      "index": 5200,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5200.png",
+      "answer": "{0,1/2}",
+      "fact_expr": "G: Parabola;H: Line;k: Real;Expression(G) = (y^2 = 4*x);Expression(H) = (y = k*x + 2);NumIntersection(H, G)=1",
+      "coords": {}
+    },
+    {
+      "index": 5201,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5201.png",
+      "answer": "(1/2,1)",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 1);Focus(G) = F;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(M, A)) + Abs(LineSegmentOf(M, F)))",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5202,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5202.png",
+      "answer": "x \\pm \\sqrt{3} y = 0",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=(1/4)*FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 5203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5203.png",
+      "answer": "y=pm*sqrt(3)*x/3\n4",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/3 - y^2 = 1);G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;Focus(G) = OneOf(Focus(C))",
+      "coords": {}
+    },
+    {
+      "index": 5204,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5204.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;RightVertex(G) = A;UpperVertex(G) = B;LineSegmentOf(A, B) = (sqrt(3)/2)*LineSegmentOf(F1, F2)",
+      "coords": {}
+    },
+    {
+      "index": 5205,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5205.png",
+      "answer": "sqrt(10)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;O: Origin;F: Point;P: Point;a>0;b>0;l:Line;RightFocus(G) = F;PointOnCurve(F,l);Slope(l)=-1;Intersection(l,Asymptote(G))=P;Quadrant(P)=1;Area(TriangleOf(O, F, P)) = (a^2 + b^2)/8",
+      "coords": {}
+    },
+    {
+      "index": 5206,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_5206.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;I: Circle;Expression(I) = (y^2 + (x - 3)^2 = 225);IsTangent(Directrix(G), I);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (y = sqrt(3)*x);OneOf(Focus(C)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5207,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5207.png",
+      "answer": "(-sqrt(6)/2,0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5208,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5209,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5209.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 5210,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5211,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5212,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5212.png",
+      "answer": "x=-1",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 5213,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5213.png",
+      "answer": "x^2/25 + y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1);Focus(G) = Focus(H);H: Ellipse;Eccentricity(H) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 5214,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5214.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F1, LineSegmentOf(A, B));Perimeter(InscribedCircle(TriangleOf(A, B, F2))) = pi;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {}
+    },
+    {
+      "index": 5215,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5215.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;m:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (m, 4);PointOnCurve(P, G);Focus(G) = {F1, F2};Radius(InscribedCircle(TriangleOf(P,F1,F2)))=3/2",
+      "coords": {}
+    },
+    {
+      "index": 5216,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5217,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5218,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5218.png",
+      "answer": "sqrt(41)/5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = (4/5)*x)",
+      "coords": {}
+    },
+    {
+      "index": 5219,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.242640687119285,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 18.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5219.png",
+      "answer": "2*sqrt(5) + 1",
+      "fact_expr": "G: Ellipse;H: Circle;M: Point;N: Point;Expression(G) = (x^2/18 + y^2/9 = 1);Expression(H) = (x^2 + (y - 1)^2 = 1);PointOnCurve(M, G);PointOnCurve(N, H)",
+      "coords": {}
+    },
+    {
+      "index": 5220,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5220.png",
+      "answer": "5/4",
+      "fact_expr": "G: Ellipse;a: Number;a>0;Expression(G) = (y^2 + x^2/a^2 = 1);Distance(LeftFocus(G),RightVertex(G))=2",
+      "coords": {}
+    },
+    {
+      "index": 5221,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5221.png",
+      "answer": "2",
+      "fact_expr": "G: Circle;Expression(G) = (y^2 + (x - 4)^2 = 4);C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;IsTangent(G, Asymptote(C))",
+      "coords": {}
+    },
+    {
+      "index": 5222,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5222.png",
+      "answer": "10*x+9*y-29=0",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;M: Point;Expression(C) = (x^2/9 + y^2/5 = 1);Coordinate(M) = (2, 1);PointOnCurve(M, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5223,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_5223.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5224,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5225,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5225.png",
+      "answer": "2*sqrt(3)-1",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y^2 + (x - 4)^2 = 1);PointOnCurve(P, G);PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 5226,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5227,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5227.png",
+      "answer": "(3, 2*sqrt(6))",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;Q: Point;PointOnCurve(Q, C);Quadrant(Q) = 1;Abs(LineSegmentOf(Q, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5228,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5228.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;H: Ellipse;A: Point;Expression(H) = (x^2/16 + y^2/9 = 1);Coordinate(A) = (4, -5);PointOnCurve(A, G);Vertex(MinorAxis(H))=Focus(G)",
+      "coords": {
+        "A": [
+          4.0,
+          -5.0
+        ]
+      }
+    },
+    {
+      "index": 5229,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5230,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5230.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;G: Hyperbola;a: Number;C: Circle;a>0;Expression(G) = (-y^2/2 + x^2/a^2 = 1);Center(C)=RightFocus(G);IsTangent(C, Asymptote(G));Expression(l)=(x-sqrt(3)*y=0);Length(InterceptChord(l,C))=2",
+      "coords": {}
+    },
+    {
+      "index": 5231,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5232,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5232.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);L: Line;Slope(L) = -1/2;A: Point;B: Point;Intersection(L, G) = {A, B};H: Circle;IsDiameter(LineSegmentOf(A, B), H);P: Point;TangentPoint(H, Directrix(G)) = P",
+      "coords": {}
+    },
+    {
+      "index": 5233,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5233.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;F: Point;Expression(G) = (x^2 - y^2/4 = 1);RightFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 5234,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5235,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5235.png",
+      "answer": "18",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;L: Line;PointOnCurve(F1,L) = True;A: Point;B: Point;Intersection(L, LeftPart(G)) = {A, B};Abs(LineSegmentOf(A, B)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5236,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5236.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/4 + y^2/16 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5237,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5237.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5238,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5239,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5240,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5240.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "H: Line;Expression(H) = (x - y - 4 = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Intersection(H, G) = {A, B};A: Point;B: Point;XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5241,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5242,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5242.png",
+      "answer": "sqrt(17)/2",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = -2*x);PointOnCurve(P, G) = True;M: Point;Coordinate(M) = (0, 2)",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5243,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5243.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*p*x);Expression(H) = (x^2/5 - y^2/p^2 = 1);PointOnCurve(LeftFocus(H),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 5244,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5244.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;C: Point;D: Point;F: Point;p>0;Expression(G) = (x^2 = 2*(p*y));Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);AngleOf(A, F, B) = ApplyUnit(60, degree);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=C;PointOnCurve(C,LineOf(C,D));IsPerpendicular(Directrix(G),LineOf(C,D));FootPoint(Directrix(G),LineOf(C,D))=D",
+      "coords": {}
+    },
+    {
+      "index": 5245,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.4970548748970032,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.00010081290383823216,
+        "converged": true,
+        "iterations": 80
+      },
+      "output_path": "results/train/parabola/problem_5245.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;p>0;Expression(G) = (x^2 = 2*(p*y));Coordinate(A) = (sqrt(2), 1);PointOnCurve(A, G);F: Point;Focus(G) = F",
+      "coords": {
+        "A": [
+          1.4142135623730951,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5246,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5247,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5247.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;P: Point;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (y = x + 3);Expression(Directrix(G)) = (x = -2);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5248,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5248.png",
+      "answer": "6;3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/a^2+y^2/b^2 = 1);a: Number;b: Number;a > b;b > 0;Eccentricity(G) = sqrt(3)/2;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(P, F1) + Distance(P, F2) = 12",
+      "coords": {}
+    },
+    {
+      "index": 5249,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5249.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;l: Line;Expression(l) = (x + sqrt(3)*y = 0);IsPerpendicular(OneOf(Asymptote(C)), l);Distance(OneOf(Focus(C)), l) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5250,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5250.png",
+      "answer": "8*sqrt(3)/5",
+      "fact_expr": "A: Point;F: Point;LowerVertex(C) = A;LeftFocus(C) = F;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;l: Line;PointOnCurve(A,l) = True;Inclination(l) = ApplyUnit(60,degree);Intersection(l,xAxis) = M;Intersection(l,C) = N;M: Point;N: Point;YCoordinate(N) = 3*b/5;Perimeter(TriangleOf(F, M, N)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5251,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "y",
+        "x_coef": 6.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5251.png",
+      "answer": "2*sqrt(6)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/6 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5252,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5252.png",
+      "answer": "8*sqrt(2)/5",
+      "fact_expr": "H: Line;Expression(H) = (y = x - 1);G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5253,
+      "success": false,
+      "error": "Circle from diameter: cannot parse diameter pattern"
+    },
+    {
+      "index": 5254,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5255,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5255.png",
+      "answer": "Answer missing",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/6 + y^2/2 = 1);G: Hyperbola;Expression(G) = (x^2/2 - y^2/2 = 1);F1: Point;F2: Point;Focus(H) = {F1, F2};P: Point;OneOf(Intersection(H, G)) = P;Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 5256,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5257,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_5257.png",
+      "answer": "2\n(1,0)",
+      "fact_expr": "G: Parabola;p: Number;H:Point;F:Point;p>0;Focus(G)=F;Expression(G) = (y^2 = 2*(p*x));Coordinate(H) = (1, 2);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5258,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5258.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2 + y^2/b^2 = 1);b: Number;0 < b;b < 1;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;G: Line;PointOnCurve(F1, G);A: Point;B: Point;Intersection(G, E) = {A, B};Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(B, F1));IsPerpendicular(LineSegmentOf(A, F2), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5259,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5259.png",
+      "answer": "pm*sqrt(2)/2",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 3);k: Real;G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);NumIntersection(H, G) = 1;Negation(IsTangent(H, G))",
+      "coords": {}
+    },
+    {
+      "index": 5260,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5261,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5262,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 8.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5262.png",
+      "answer": "64",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/100 + y^2/64 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5263,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5263.png",
+      "answer": "24/7",
+      "fact_expr": "G: Ellipse;H: Line;B: Point;A: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (y = x - 1);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5264,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5264.png",
+      "answer": "pm*4/3",
+      "fact_expr": "l: Line;C: Parabola;p: Number;M: Point;F: Point;N: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C)=F;PointOnCurve(F, l);Intersection(l, C) = {M, N};VectorOf(M, F) = 4*VectorOf(F, N)",
+      "coords": {}
+    },
+    {
+      "index": 5265,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5266,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 44.93328387732194,
+        "b": 44.93328387732194,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5266.png",
+      "answer": "ApplyUnit(40,degree)",
+      "fact_expr": "G: Hyperbola;A1: Point;P: Point;A2: Point;Expression(G) = (x^2 - y^2 = 2019);LeftVertex(G)=A1;RightVertex(G)=A2;PointOnCurve(P,RightPart(G));AngleOf(A1, P, A2) = ApplyUnit(10, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5267,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          2.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5267.png",
+      "answer": "(1,0)",
+      "fact_expr": "C: Parabola;a: Number;M: Circle;Expression(C) = (a*y^2 + 4*x = 0);Expression(M) = ((x - 1)^2 + (y - 2)^2 = 1);PointOnCurve(Center(M),C)",
+      "coords": {}
+    },
+    {
+      "index": 5268,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5268.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;G: Line;M: Point;N: Point;F2: Point;F1: Point;Expression(C) = (x^2/4 + y^2 = 1);Focus(C) = {F1, F2};PointOnCurve(F1, G);Negation(IsParallel(G, axis));Intersection(G, C) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 5269,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5269.png",
+      "answer": "(3, 2)",
+      "fact_expr": "C: Parabola;O: Origin;Vertex(C) = O;F: Point;Coordinate(F) = (1, 0);Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};Inclination(l) = ApplyUnit(45, degree);IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5270,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5270.png",
+      "answer": "(-17/8, 15/8)",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = x + 4)",
+      "coords": {}
+    },
+    {
+      "index": 5271,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5271.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;k: Number;A: Point;N: Point;M: Point;F: Point;Expression(C) = (y^2 = 4*x);k>0;Expression(G) = (x + 2 = k*y)&(k>0);Coordinate(A) = (-2, 0);Focus(C) = F;Intersection(G, C) = {M, N};VectorOf(A, N) = 2*VectorOf(A, M)",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5272,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5272.png",
+      "answer": "x^{-y^2/3}=1",
+      "fact_expr": "P: Point;Coordinate(P) = (2, -3);PointOnCurve(P, G);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(F1, F2) = 4",
+      "coords": {
+        "P": [
+          2.0,
+          -3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5273,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5274,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5274.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y = -x^2/4);PointOnCurve(A,G);PointOnCurve(B, G);Abs(LineSegmentOf(A, B)) = 6;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 5275,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          -0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5275.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Circle;C:Circle;T:Circle;H: Line;M: Curve;P0: Point;Expression(G) = (4*x + x^2 + y^2 + 3 = 0);Expression(T) = (-4*x + x^2 + y^2 - 45 = 0);Expression(H) = (x - 2*y - 1 = 0);IsOutTangent(C,G);IsInTangent(C,T);C1:Point;Center(C)=C1;Locus(C1)=M;PointOnCurve(P0, M)",
+      "coords": {}
+    },
+    {
+      "index": 5276,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5276.png",
+      "answer": "sqrt(7)/4",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/9 + x^2/a^2 = 1);a: Number;a>0;F: Point;RightFocus(C) = F;M: Point;PointOnCurve(M, C) = True;N: Point;MidPoint(LineSegmentOf(M, F)) = N;O: Origin;Abs(LineSegmentOf(M, F)) = 2*Abs(LineSegmentOf(O, N));2*Abs(LineSegmentOf(O, N)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5277,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5277.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;A: Point;M: Point;F: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;Intersection(l, xAxis) = A;PointOnCurve(M, C);Abs(LineSegmentOf(M, A))/Abs(LineSegmentOf(M, F)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5278,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_5278.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(5);Length(ImageinaryAxis(C))>1",
+      "coords": {}
+    },
+    {
+      "index": 5279,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5280,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5281,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5282,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5282.png",
+      "answer": "32",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/8 = 1);Coordinate(A) = (0, 6*sqrt(6));RightFocus(C) = F;PointOnCurve(P, LeftPart(C))",
+      "coords": {
+        "A": [
+          0.0,
+          14.696938456699067
+        ]
+      }
+    },
+    {
+      "index": 5283,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5283.png",
+      "answer": "y=pm*3*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=3*a",
+      "coords": {}
+    },
+    {
+      "index": 5284,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 5285,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5285.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (x^2/8 + y^2/2 = 1);Expression(H) = (x + 2*y - 8 = 0);Coordinate(P) = (x1,y1);Coordinate(Q) = (x2,y2);PointOnCurve(P, G);PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 5286,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5286.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5287.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G);Distance(P, LeftFocus(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 5288,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5288.png",
+      "answer": "4/7",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;B: Point;N: Point;M:Point;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(l) = (-x + y + 2 = 0);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B))=M;L:Line;PointOnCurve(M, L);IsPerpendicular(L, yAxis);Intersection(L, G) = N;AngleOf(A, N, B) = pi/2",
+      "coords": {}
+    },
+    {
+      "index": 5289,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5289.png",
+      "answer": "y=-3",
+      "fact_expr": "G: Parabola;Expression(G) = (y = a*x^2);a: Number;a>0;H: Ellipse;Expression(H) = (x^2 + y^2/10 = 1);Focus(G)=OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 5290,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5291,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5292,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5293,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5293.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = 2*x);OneOf(Asymptote(C))=G",
+      "coords": {}
+    },
+    {
+      "index": 5294,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5294.png",
+      "answer": "7/2",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/8 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);Abs(LineSegmentOf(P,F1))=5/2",
+      "coords": {}
+    },
+    {
+      "index": 5295,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5295.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,H);IsDiameter(MinorAxis(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 5296,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5296.png",
+      "answer": "sqrt(21)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;A: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(A,OneOf(Asymptote(C)));IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(F1, A));Abs(LineSegmentOf(A, F2)) = 2*Abs(LineSegmentOf(A, F1))",
+      "coords": {}
+    },
+    {
+      "index": 5297,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5297.png",
+      "answer": "(1,\\sqrt{2})",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 + x^2 - 4*x + 2 = 0);IsIntersect(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 5298,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5298.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5299,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5299.png",
+      "answer": "y=x",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;O: Origin;Focus(C)=F;Coordinate(F) = (1, 0);Vertex(C) = O;Intersection(l, C) = {A, B};Coordinate(MidPoint(LineSegmentOf(A, B))) = (2,2)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5300,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5300.png",
+      "answer": "6*sqrt(5)+2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/8 = 1);F: Point;RightFocus(C) = F;N: Point;Coordinate(N) = (0, 6);M: Point;PointOnCurve(M, LeftPart(C))",
+      "coords": {
+        "N": [
+          0.0,
+          6.0
+        ]
+      }
+    },
+    {
+      "index": 5301,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5301.png",
+      "answer": "(4*sqrt(5))/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);H: Circle;Expression(H) = (x^2 + y^2 - 8*x + 15 = 0);C: Point;Center(H) = C",
+      "coords": {}
+    },
+    {
+      "index": 5302,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5302.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;p>0;Expression(C) = (y^2 = 2*p*x);PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = p + 2;Abs(LineSegmentOf(B, F)) = p - 1;Focus(C)=F",
+      "coords": {}
+    },
+    {
+      "index": 5303,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5303.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 5304,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5305,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5306,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5306.png",
+      "answer": "(2,4)",
+      "fact_expr": "G: Parabola;A: Point;M: Point;F: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (3, 4);Focus(G)=F;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(A,M))+Abs(LineSegmentOf(M,F)))",
+      "coords": {
+        "A": [
+          3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5307,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5307.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/16 + y^2/4 = 1);F: Point;LeftFocus(C) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, xAxis);A: Point;B: Point;Intersection(L, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5308,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5308.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "O: Origin;G: Line;Expression(G) = (x = a);C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;L1: Line;L2: Line;Asymptote(C) = {L1, L2};Intersection(G, L1) = D;Intersection(G, L2) = E;D: Point;E: Point;Area(TriangleOf(O, D, E)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5309,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5309.png",
+      "answer": "(\\sqrt{13} - 2)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F1)) = 2*Abs(LineSegmentOf(B, F1));2*Abs(LineSegmentOf(B, F1)) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5310,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5311,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5311.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);Expression(Directrix(C)) = (x = -2);p: Number;p>0;F: Point;Focus(C) = F;A: Point;Intersection(Directrix(C), xAxis) = A;B: Point;PointOnCurve(B, C);sqrt(5)*Abs(LineSegmentOf(B, F)) = 2*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 5312,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5312.png",
+      "answer": "4",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;P: Point;A: Point;F: Point;a>0;b>0;LeftFocus(E) = F;RightVertex(E)=A;PointOnCurve(P,LeftPart(E));AngleOf(P, A, F) = ApplyUnit(60, degree);Abs(LineSegmentOf(P,A))=Abs(LineSegmentOf(A,F))",
+      "coords": {}
+    },
+    {
+      "index": 5313,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5314,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5314.png",
+      "answer": "8",
+      "fact_expr": "M: Point;Coordinate(M) = (sqrt(3), 0);H: Line;Expression(H) = (y = k*(x + sqrt(3)));G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;B: Point;Intersection(H, G) = {A, B};k: Number",
+      "coords": {
+        "M": [
+          1.7320508075688772,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5315,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 8.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5315.png",
+      "answer": "15",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/16 - y^2/64 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 7",
+      "coords": {}
+    },
+    {
+      "index": 5316,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5316.png",
+      "answer": "y^2=x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;Distance(Focus(G),Directrix(G))=1/2",
+      "coords": {}
+    },
+    {
+      "index": 5317,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5317.png",
+      "answer": "5/4",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*((3/4)*x))",
+      "coords": {}
+    },
+    {
+      "index": 5318,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5318.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G)=l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l)=A;Inclination(LineSegmentOf(A, F)) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 5319,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          2.0,
+          -0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5319.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2 + x^2/m = 1);m: Number;H: Circle;Expression(H) = (-4*x + x^2 + y^2 + 3 = 0);IsTangent(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 5320,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5320.png",
+      "answer": "x^2/9 - y^2/3 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2 + 4*y^2 = 16);Focus(G)=Focus(H);Expression(OneOf(Asymptote(G))) = (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5321,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5321.png",
+      "answer": "1/3",
+      "fact_expr": "G: Hyperbola;H: Ellipse;P:Point;F1:Point;F2:Point;Expression(G) = (x^2/3 - y^2 = 1);Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};OneOf(Intersection(G,H))=P",
+      "coords": {}
+    },
+    {
+      "index": 5322,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5322.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;l1: Line;l2: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Asymptote(G)={l1,l2};Quadrant(P) = 1;PointOnCurve(P, l1);IsParallel(l2,LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 5323,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5323.png",
+      "answer": "{1,4}",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/2 + x^2/m = 1);m: Number;G1: Ellipse;Expression(G1) = (x^2/6 + y^2/3 = 1);Eccentricity(G) = Eccentricity(G1)",
+      "coords": {}
+    },
+    {
+      "index": 5324,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5324.png",
+      "answer": "pm*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = 4*x);A: Point;B: Point;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 6;WhenMin(XCoordinate(MidPoint(LineSegmentOf(A, B)))) = True",
+      "coords": {}
+    },
+    {
+      "index": 5325,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5325.png",
+      "answer": "sqrt(15)/2",
+      "fact_expr": "C: Ellipse;B: Point;A: Point;F: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) = F;PointOnCurve(A, C);PointOnCurve(B, C);Negation(A=B);XCoordinate(MidPoint(LineSegmentOf(A, B))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5326,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5326.png",
+      "answer": "7/8",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y = 2*x^2);PointOnCurve(M, G);Distance(M, Focus(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5327,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5328.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;B: Point;Intersection(LeftDirectrix(G), xAxis) = B;A: Point;Coordinate(A) = (0, b);P: Point;LineSegmentOf(A, P) = 2*LineSegmentOf(A, B);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5329,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5329.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P:Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (a, b);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5330,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5330.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (x^2/16 - y^2/m = 1);Eccentricity(G) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 5331,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5331.png",
+      "answer": "y^2 = -36*(x - 4)",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/16 - y^2/9 = 1);LeftVertex(G) = Vertex(H);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5332,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5333,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5333.png",
+      "answer": "(18,pm*12)",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2=8*x);PointOnCurve(P,G);Distance(P,Focus(G))=20",
+      "coords": {}
+    },
+    {
+      "index": 5334,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0833333358168602,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5334.png",
+      "answer": "(0, 1/12)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 3*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 5335,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5335.png",
+      "answer": "11/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/3 = 1);F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);PointOnCurve(MidPoint(LineSegmentOf(P, F1)), yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5336,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5336.png",
+      "answer": "(1, 3]",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, LeftPart(G)) = True;Abs(LineSegmentOf(P, F2))^2/Abs(LineSegmentOf(P, F1)) = 8*a",
+      "coords": {}
+    },
+    {
+      "index": 5337,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5337.png",
+      "answer": "(\\sqrt{5}, +\\infty)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F2: Point;P: Point;O: Origin;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,RightPart(C));Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F2));IsIntersect(LineOf(P,F2),LeftPart(C))",
+      "coords": {}
+    },
+    {
+      "index": 5338,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5338.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5339,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5339.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;p: Real;O:Origin;p>0;Expression(G) = (y^2 = 2*(p*x));Distance(Focus(G),O)=5",
+      "coords": {}
+    },
+    {
+      "index": 5340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5340.png",
+      "answer": "(x-2)^2+y^2=2",
+      "fact_expr": "G: Hyperbola;E: Circle;Expression(G) = (x^2 - y^2 = 2);Center(E) = RightFocus(G);IsTangent(Asymptote(G), E) = True",
+      "coords": {}
+    },
+    {
+      "index": 5341,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5341.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;F1: Point;B: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(C),xAxis);LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(F1, l);Intersection(l,C)={A,B};VectorOf(A, F1) = 3*VectorOf(F1, B);3*Abs(VectorOf(B, F2)) = 5*Abs(VectorOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5342,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5343,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5344,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5344.png",
+      "answer": "20",
+      "fact_expr": "C: Hyperbola;m: Number;G: Parabola;A: Point;B: Point;m>0;Expression(C) = (2*x^2 - y^2 = m);Expression(G) = (y^2 = 16*x);Intersection(C, Directrix(G)) = {A,B};Abs(LineSegmentOf(A, B)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5345,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5346,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5346.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Parabola;P: Point;F: Point;A: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (3/2, -1);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          1.5,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 5347,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5347.png",
+      "answer": "x^2 + y^2 = 2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);M: Point;PointOnCurve(M, C);l: Line;PointOnCurve(M, l);IsPerpendicular(l,xAxis);N: Point;FootPoint(l,xAxis) = N;P: Point;VectorOf(N, P) = sqrt(2)*VectorOf(N, M)",
+      "coords": {}
+    },
+    {
+      "index": 5348,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 5349,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5349.png",
+      "answer": "pi/6",
+      "fact_expr": "P: Point;Coordinate(P) = (3*sqrt(3), 4);l: Line;PointOnCurve(P, l);C: Parabola;Expression(C) = (x^2 = 18*y);A: Point;B: Point;Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A, B), C);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          5.196152422706632,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5350,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5350.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;O: Circle;P: Point;F2: Point;Q: Point;M: Point;Expression(G) = (x^2/4 + y^2/3 = 1);RightFocus(G) = F2;Expression(O) = (x^2 + y^2 = 3);PointOnCurve(M, O) = True;Quadrant(M) = 1;Intersection(TangentOfPoint(M,O), G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 5351,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5351.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>b;b>0;F: Point;RightFocus(C) = F;A1: Point;A2: Point;LeftVertex(C) = A1;RightVertex(C) = A2;L1: Line;L2: Line;OneOf(Asymptote(C)) = L1;OneOf(Asymptote(C)) = L2;Negation(L1 = L2);H: Line;PointOnCurve(F,H);IsParallel(L1,H);P: Point;Intersection(H,L2) = P;G: Circle;IsDiameter(LineSegmentOf(A1,A2),G);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5352,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5352.png",
+      "answer": "(3,0)\ny^2=12*x",
+      "fact_expr": "C: Parabola;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);RightFocus(G)=F;Vertex(C)=O;O:Origin;Focus(C)=F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 5353,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5353.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;F: Point;M: Point;N: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(M, C);Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = N;MidPoint(LineSegmentOf(F, N)) = M",
+      "coords": {}
+    },
+    {
+      "index": 5354,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5355,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5355.png",
+      "answer": "3/4",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;O: Origin;p>0;Expression(C) = (x^2 = 2*p*y);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};3*Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 5356,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5356.png",
+      "answer": "4*sqrt(10)/5",
+      "fact_expr": "l: Line;Slope(l) = 1;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);Intersection(l, G) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 5357,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5357.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;A: Point;M: Point;x1:Number;y1:Number;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(P) = (x1, y1);Coordinate(A) = (3, 0);PointOnCurve(P, G);Abs(LineSegmentOf(A, M)) = 1;DotProduct(VectorOf(P, M), VectorOf(A, M)) = 0",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5358,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5358.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Z: Line;PointOnCurve(F2,Z);Inclination(Z) = ApplyUnit(120,degree);OneOf(Intersection(Z,G)) = M;M: Point;IsPerpendicular(LineSegmentOf(M,F1),LineSegmentOf(M,F2))",
+      "coords": {}
+    },
+    {
+      "index": 5359,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5359.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;Endpoint(Z) = F;A: Point;Intersection(Z, G) = A;B: Point;Intersection(Z, yAxis) = B;Abs(LineSegmentOf(A, F)) = 2;Abs(LineSegmentOf(B, F)) = 3;Z: Ray",
+      "coords": {}
+    },
+    {
+      "index": 5360,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5360.png",
+      "answer": "sqrt(17)",
+      "fact_expr": "l: Line;C: Parabola;P: Point;B: Point;M: Point;F: Point;N: Point;Q: Point;Expression(C) = (x^2 = 8*y);Coordinate(P) = (0, -2);Coordinate(B) = (0, 3);Focus(C) = F;PointOnCurve(P, l);Intersection(l, C) = {M, N};Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 32;PointOnCurve(Q, l)",
+      "coords": {
+        "P": [
+          0.0,
+          -2.0
+        ],
+        "B": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 5361,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5361.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Distance(P, Focus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5362,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142164151010692,
+        "b": 1.4142164151010692,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.2160979279094996e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_5362.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;a: Number;F1: Point;F2: Point;P: Point;a>0;Expression(G) = (x^2 - y^2/a^2 = 1);Coordinate(F1) = (-2, 0);Coordinate(F2) = (2, 0);Focus(G) = {F1,F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5363,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5363.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;Coordinate(A) = (2, 0);RightVertex(E) = A;Distance(A,OneOf(Asymptote(E))) = 1",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5364,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5364.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A,B};Abs(LineSegmentOf(F, A))*Abs(LineSegmentOf(F, B)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5365,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5365.png",
+      "answer": "8",
+      "fact_expr": "A: Point;B: Point;l: Line;G: Parabola;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l,G)={A,B};Distance(MidPoint(LineSegmentOf(A,B)), yAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5366,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5366.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));DotProduct((VectorOf(O,P)+VectorOf(O,F2)),VectorOf(P,F2))=0;3*Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5367,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5367.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;F1: Point;F2: Point;PointOnCurve(F2,L) = True;L: Line;Intersection(L,RightPart(C)) = {P,Q};P: Point;Q: Point;IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(P, F1)) = True;3*Abs(LineSegmentOf(P, Q)) = 4*Abs(LineSegmentOf(P, F1))",
+      "coords": {}
+    },
+    {
+      "index": 5368,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5368.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);LeftFocus(G) = F;Distance(P, F) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5369,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5370,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5370.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;O: Origin;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(P, G);Distance(P,O)=HalfFocalLength(G);Area(TriangleOf(P, O, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5371,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5371.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 12*y);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (2, 1);l: Line;PointOnCurve(P, l)  ;Intersection(l, G) = {A, B};A: Point;B: Point;MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5372,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5373,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5373.png",
+      "answer": "x^2/(8/5)-y^2/4=1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;P: Point;Coordinate(P) = (sqrt(2), 1);PointOnCurve(P, C);Distance(OneOf(Focus(C)), OneOf(Asymptote(C))) = 2",
+      "coords": {
+        "P": [
+          1.4142135623730951,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5374,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5374.png",
+      "answer": "x^2/8+y^2/4=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;B: Point;F: Point;M: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);Coordinate(M) = (-sqrt(2)*a/2, 0);UpperVertex(C) = B;RightFocus(C) = F;IsPerpendicular(LineSegmentOf(B, F), LineSegmentOf(B, M))",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5375,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5375.png",
+      "answer": "24/7",
+      "fact_expr": "C: Ellipse;G: Line;Expression(C) = (x^2/4 + y^2/3 = 1);PointOnCurve(LeftFocus(C), G);Slope(G)=1",
+      "coords": {}
+    },
+    {
+      "index": 5376,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5376.png",
+      "answer": "2+4*sqrt(2)",
+      "fact_expr": "C: Hyperbola;M: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/3 = 1);Coordinate(M) = (0, 2);RightFocus(C)=F;PointOnCurve(P,LeftPart(C))",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5377,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5377.png",
+      "answer": "2*pi/3",
+      "fact_expr": "P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;Q: Point;Coordinate(Q) = (x2, y2);x2: Number;y2: Number;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G) = True;PointOnCurve(Q, G) = True;x1 + x2 + 2 = (2/3)*sqrt(3)*Abs(LineSegmentOf(P, Q));F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 5378,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5378.png",
+      "answer": "(1/2,-1)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y^2 = 2*x);Expression(H) = (x - y + 3 = 0);P:Point;PointOnCurve(P,G);Q:Point;PointOnCurve(Q,H);WhenMin(Distance(P,Q))",
+      "coords": {}
+    },
+    {
+      "index": 5379,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5379.png",
+      "answer": "ApplyUnit(60,degree)",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (3*x^2 - 5*y^2 = 15);PointOnCurve(P, G);Focus(G)={F1,F2};Area(TriangleOf(F1, P, F2)) = 3*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5380,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5380.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 4*Abs(LineSegmentOf(P, F2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 5381,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5381.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);A: Point;B: Point;PointOnCurve(A,G) = True;PointOnCurve(B,G) = True;O: Origin;DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0;L: Line;PointOnCurve(O,L) = True;IsPerpendicular(L,LineOf(A,B)) = True;FootPoint(L,LineOf(A,B)) = P;P: Point;F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 5382,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5382.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Z: Curve;Expression(Z) = (3*x + y - 4 = 0);IsParallel(OneOf(Asymptote(C)), Z)",
+      "coords": {}
+    },
+    {
+      "index": 5383,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5383.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;F2: Point;F1: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1,LineSegmentOf(P,Q))",
+      "coords": {}
+    },
+    {
+      "index": 5384,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5385,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5386,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5386.png",
+      "answer": "4/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F1, LineSegmentOf(A, B));Perimeter(InscribedCircle(TriangleOf(A, B, F2))) = pi;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {}
+    },
+    {
+      "index": 5387,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5387.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;G: Line;A: Point;B: Point;F: Point;O: Origin;Expression(C) = (x^2/8 + y^2/4 = 1);RightFocus(C) = F;PointOnCurve(O, G);Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5388,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5388.png",
+      "answer": "{(4,4),(4,-4)}",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5389,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5389.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 5390,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.3907806873321533,
+        "b": 2.9160258769989014,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.1408701539039612e-07,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_5390.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;Coordinate(F1) = (-2*sqrt(5), 0);LeftFocus(C) = F1;F2: Point;Coordinate(F2) = (2*sqrt(5), 0);RightFocus(C) = F2;e: Number;Eccentricity(C)=e;e = sqrt(5)/2;P: Point;PointOnCurve(P, RightPart(C))",
+      "coords": {
+        "F1": [
+          -4.47213595499958,
+          0.0
+        ],
+        "F2": [
+          4.47213595499958,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5391,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5391.png",
+      "answer": "9*sqrt(2)/4",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Q: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (x + y + 5 = 0);PointOnCurve(P, H);PointOnCurve(Q, G)",
+      "coords": {}
+    },
+    {
+      "index": 5392,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5392.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 7",
+      "coords": {}
+    },
+    {
+      "index": 5393,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.6057229042053223,
+        "b": 1.3912456035614014,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 1.918481530083227e-06,
+        "converged": true,
+        "iterations": 111
+      },
+      "output_path": "results/train/ellipse/problem_5393.png",
+      "answer": "4/3",
+      "fact_expr": "G: Ellipse;C:Curve;Expression(C) = (x^2+y^2/m=1);C=G;PointOnCurve(Focus(G), yAxis);Eccentricity(G) = 1/2;m: Number",
+      "coords": {}
+    },
+    {
+      "index": 5394,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5394.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(G) = F;O: Origin;H: Line;PointOnCurve(O,H);A: Point;B: Point;Intersection(H, G) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 5395,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5396,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5397,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5397.png",
+      "answer": "y = -0.5*x+4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);H: LineSegment;IsChordOf(H,G) = True;Coordinate(MidPoint(H)) = (4,2)",
+      "coords": {}
+    },
+    {
+      "index": 5398,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5399,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5399.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;O: Origin;N: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(M, G);LeftFocus(G)=F1;Distance(M, F1) = 2;MidPoint(LineSegmentOf(M, F1)) = N",
+      "coords": {}
+    },
+    {
+      "index": 5400,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5400.png",
+      "answer": "[0, 2]",
+      "fact_expr": "E: Ellipse;Expression(E) = (x^2/4 + y^2/2 = 1);F1: Point;F2: Point;Focus(E) = {F1, F2};P: Point;PointOnCurve(P, E)",
+      "coords": {}
+    },
+    {
+      "index": 5401,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5401.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = sqrt(3)*x);OneOf(Asymptote(G)) = H",
+      "coords": {}
+    },
+    {
+      "index": 5402,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5403,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5403.png",
+      "answer": "x^2/18 - y^2/9 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 2);M: Point;Coordinate(M) = (-6, 3);Z: Hyperbola;PointOnCurve(M, Z);Asymptote(G) = Asymptote(Z)",
+      "coords": {
+        "M": [
+          -6.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 5404,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5404.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;m: Number;Negation(m=0);P: Point;A: Point;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (m + x - 3*y = 0);Coordinate(P) = (m, 0);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H,L1)=A;Intersection(H,L2)=B;Abs(LineSegmentOf(P, A)) = Abs(LineSegmentOf(P, B))",
+      "coords": {}
+    },
+    {
+      "index": 5405,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5405.png",
+      "answer": "y^2/4 - x^2/16 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);Asymptote(G) = Asymptote(G1);H: Point;Coordinate(H) = (2, sqrt(5));PointOnCurve(H, G1) = True;G1: Hyperbola",
+      "coords": {
+        "H": [
+          2.0,
+          2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 5406,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5406.png",
+      "answer": "6*sqrt(2)",
+      "fact_expr": "M: Point;PointOnCurve(M, G);G: Ellipse;Expression(G) = (x^2/9 + y^2/16 = 1);H: Line;Expression(H) = (x + y - 7 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5407,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5407.png",
+      "answer": "(0,pm*2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Area(TriangleOf(P, F1, F2)) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 5408,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5408.png",
+      "answer": "(1, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);D: Point;PointOnCurve(D, G) = True;l: Line;Expression(l) = (x = -1);Distance(D, l) = Distance(D, F);F: Point",
+      "coords": {}
+    },
+    {
+      "index": 5409,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5409.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (x^2 - y^2/m = 1);Expression(H) = (y^2 = 8*x);OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5410,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5411,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5411.png",
+      "answer": "sqrt(14)/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 3*b^2);OneOf(Intersection(G, H))=P;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5412,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5412.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);PointOnCurve(MidPoint(LineSegmentOf(P, F1)), yAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 5413,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5414,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5415,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5415.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/3 + y^2/m = 1);PointOnCurve(Focus(G), yAxis);Eccentricity(G) = (1/2)",
+      "coords": {}
+    },
+    {
+      "index": 5416,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5417,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5417.png",
+      "answer": "(1,\\sqrt{2})",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(RightFocus(G), H);Inclination(H) = ApplyUnit(45, degree);NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5418,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5418.png",
+      "answer": "2+2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y = x^2/4);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1:Number;x2:Number;y1:Number;y2:Number;PointOnCurve(Focus(G), H);Intersection(H, G) = {A,B};y1+y2=2*sqrt(2);IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 5419,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5420,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5420.png",
+      "answer": "(1, 3/2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);P: Point;Coordinate(P) = (2, 1);l: Line;PointOnCurve(P, l);M: Point;TangentPoint(l, C) = M;Quadrant(M) = 1",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5421,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5422,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5422.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;a: Number;b: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y = x);Coordinate(P) = (a, b);PointOnCurve(P, RightPart(G));Distance(P, H) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5423,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5423.png",
+      "answer": "3*sqrt(5)/20",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (y = 2*x + 1);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5424,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5425,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5425.png",
+      "answer": "3/4",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/2 - y^2/2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5426,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5426.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Ellipse;b: Number;Expression(G) = (x^2/8 - y^2 = 1);b>0;Expression(H) = (x^2/25 + y^2/b^2 = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5427,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5427.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;p: Number;G: Line;M: Point;A: Point;B: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (-p/2, 0);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, B)) = 12 ;Tan(AngleOf(A, M, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5428,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5428.png",
+      "answer": "1/2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*(p*y));p: Number;p>0;F: Point;Focus(C) = F;x0: Number;P: Point;Coordinate(P) = (x0, 1/2);PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 3/4",
+      "coords": {}
+    },
+    {
+      "index": 5429,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5429.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F, H);IsPerpendicular(H,xAxis);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5430,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5430.png",
+      "answer": "4",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;O: Origin;M: Point;MidPoint(LineSegmentOf(F1, P)) = M;Abs(LineSegmentOf(O, M)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5431,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5431.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/b^2 = 1);b: Number;0 < b;b < 1;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;Slope(H) = 1;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 5432,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5432.png",
+      "answer": "y=pm*(sqrt(10)/4)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;F: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*p*x);Focus(H)=F;RightFocus(G)=F;P:Point;Coordinate(P)=(3*a^2/p,2*b^2/p);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5433,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5433.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(F1, F2),LineSegmentOf(P, F2));AngleOf(P,F1,F2)=ApplyUnit(30,degree)",
+      "coords": {}
+    },
+    {
+      "index": 5434,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5434.png",
+      "answer": "-1",
+      "fact_expr": "P: Point;Coordinate(P) = (-3, 3);M: Point;Coordinate(M) = (3, 0);L: Line;PointOnCurve(M,L) = True;G: Parabola;Expression(G) = (y^2 = 4*x);Intersection(L,G) = {A,B};A: Point;B: Point;Slope(LineOf(P,A)) = k1;k1: Number;Slope(LineOf(P,B)) = k2;k2: Number",
+      "coords": {
+        "P": [
+          -3.0,
+          3.0
+        ],
+        "M": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5435,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_5435.png",
+      "answer": "x \\pm \\sqrt{2} \\cdot y = 0",
+      "fact_expr": "a: Number;b: Number;a > b;b > 0;C1: Ellipse;Expression(C1) = (y^2/b^2 + x^2/a^2 = 1);C2: Hyperbola;Expression(C2) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C1)*Eccentricity(C2) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 5436,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5436.png",
+      "answer": "8*sqrt(6)/9",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;Coordinate(F) = (1, 0);l: Line;Expression(l) = (y = m + x);A: Point;B: Point;Intersection(l, G) = {A, B};m: Number;m >= 0;m < 1;Negation(A=B)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5437,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5437.png",
+      "answer": "3/5",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5438,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5439,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5439.png",
+      "answer": "13/6",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;e:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a <= sqrt(3);Eccentricity(G)=e",
+      "coords": {}
+    },
+    {
+      "index": 5440,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5440.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;B: Point;A: Point;a>0;b<0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;RightFocus(C) = F;Intersection(LeftDirectrix(C), xAxis) = B;MidPoint(LineSegmentOf(B,F)) = A",
+      "coords": {}
+    },
+    {
+      "index": 5441,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5441.png",
+      "answer": "{2, 1/2}",
+      "fact_expr": "P: Point;a: Number;b: Number;G: Hyperbola;Coordinate(P) = (a, b);Expression(G) = (x^2 - y^2 = 1);PointOnCurve(P, RightPart(G));Distance(P, Asymptote(G)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5442,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5443,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5443.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Ellipse;H: Line;m: Number;Expression(G) = (4*x^2 + y^2 = 1);Expression(H) = (y = m + x);Length(InterceptChord(H,G))=2*sqrt(2)/5",
+      "coords": {}
+    },
+    {
+      "index": 5444,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5445,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5445.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;x0: Number;y0: Number;Expression(G) = (x^2 = -4*y);Coordinate(Q) = (-2*sqrt(2), 0);Coordinate(P) = (x0, y0);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          -2.8284271247461903,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5446,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5446.png",
+      "answer": "16",
+      "fact_expr": "l: Line;G: Parabola;a: Number;O: Origin;A: Point;F: Point;a>0;Expression(G) = (y^2 = a*x);Slope(l) = 1;Focus(G) = F;PointOnCurve(F, l);Intersection(l, yAxis) = A;Area(TriangleOf(O, A, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 5447,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5447.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;B: Point;F1: Point;F2: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);Intersection(l, LeftPart(C)) = {A, B};Area(TriangleOf(B, F1, F2)) = 3*Area(TriangleOf(A, F1, F2));AngleOf(F1, A, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5448,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5449,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5449.png",
+      "answer": "(x+pm*1)^2+(y-(1/2))^2=1",
+      "fact_expr": "H: Circle;G: Parabola;Expression(G) = (y = x^2/2);PointOnCurve(Center(H), G);IsTangent(Directrix(G), H);IsTangent(yAxis, H)",
+      "coords": {}
+    },
+    {
+      "index": 5450,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5450.png",
+      "answer": "x^2+(y-1)^2=1/5",
+      "fact_expr": "G: Hyperbola;H: Parabola;C:Circle;Expression(G) = (-x^2 + y^2/4 = 1);Expression(H) = (y = x^2/4);Center(C)=Focus(H);IsTangent(OneOf(Asymptote(G)),C)",
+      "coords": {}
+    },
+    {
+      "index": 5451,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0707900524139404,
+        "b": 1.5409371596115455,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 3.1717604031648706e-06,
+        "converged": true,
+        "iterations": 78
+      },
+      "output_path": "results/train/ellipse/problem_5451.png",
+      "answer": "{20/9, 36/5}",
+      "fact_expr": "G: Ellipse;k: Real;Expression(G) = (x^2/4 + y^2/k = 1);Eccentricity(G) = 2/3",
+      "coords": {}
+    },
+    {
+      "index": 5452,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5452.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;F2: Point;M: Point;P: Point;O: Origin;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (0, b*(sqrt(15)/2));LeftFocus(G) = F1;RightFocus(G) = F2;Intersection(LineSegmentOf(M,F2),G)=P;Abs(LineSegmentOf(P,O))+Abs(LineSegmentOf(P,F1))=2*a",
+      "coords": {}
+    },
+    {
+      "index": 5453,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5453.png",
+      "answer": "1",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);P: Point;PointOnCurve(P, G);AngleOf(F1,P,F2) = ApplyUnit(90,degree)",
+      "coords": {}
+    },
+    {
+      "index": 5454,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5454.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;O: Circle;A: Point;B: Point;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(O) = (x^2 + y^2 = 1);IsDiameter(LineSegmentOf(A, B), O);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5455,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5455.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);Focus(G) = F;F: Point;H: Line;PointOnCurve(F, H) = True;Intersection(H, G) = {A, B};A: Point;B: Point;XCoordinate(MidPoint(LineSegmentOf(A,B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5456,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5456.png",
+      "answer": "4*sqrt(7)/7",
+      "fact_expr": "C: Hyperbola;G:Circle;b: Number;a: Number;A: Point;O: Origin;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Center(G)=F;Radius(G)=HalfFocalLength(C);Intersection(G,Asymptote(C))={O,A,B};Perimeter(TriangleOf(A, O, B)) = 7*a",
+      "coords": {}
+    },
+    {
+      "index": 5457,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5458,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5458.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;PointOnCurve(F, LineSegmentOf(A, B));IsChordOf(LineSegmentOf(A, B), G);Length(LineSegmentOf(A, B)) = 6;MidPoint(LineSegmentOf(A, B)) = M;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 5459,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5459.png",
+      "answer": "9/4",
+      "fact_expr": "C: Parabola;B: Point;A: Point;O: Origin;F: Point;Expression(C) = (x^2 = 4*y);Focus(C) = F;Intersection(LineOf(A, B), C) = {A, B};2*VectorOf(O, A) + VectorOf(O, B) - 3*VectorOf(O, F) = 0;IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {}
+    },
+    {
+      "index": 5460,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5460.png",
+      "answer": "5",
+      "fact_expr": "G:Hyperbola;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a: Number;P: Point;PointOnCurve(P, RightPart(G));Expression(OneOf(Asymptote(G))) = (3*x - y = 0);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F2)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5461,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5461.png",
+      "answer": "[-1, 3]",
+      "fact_expr": "C: Ellipse;A: Point;B: Point;a: Real;Expression(C) = (x^2/2 + y^2/8 = 1);Coordinate(A) = (a, 2*a);Coordinate(B) = (a - 2, 2*a - 4);IsIntersect(LineSegmentOf(A,B), C)",
+      "coords": {}
+    },
+    {
+      "index": 5462,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5463,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5464,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5464.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;C: Point;Negation(A=B);Negation(A=C);Negation(B=C);PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);F: Point;Focus(G) = F;VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0;Expression(OverlappingLine(LineSegmentOf(B, C))) = (4*x + y - 20 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5465,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5466,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5466.png",
+      "answer": "10 + sqrt(2)",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;P: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Coordinate(A) = (3, 1);Coordinate(B) = (-4, 0);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ],
+        "B": [
+          -4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5467,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5467.png",
+      "answer": "1/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 4*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 5468,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5468.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;N: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(M,G);PointOnCurve(N,G);AngleOf(M, O, N) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5469,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5470,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5470.png",
+      "answer": "y^2/18 - x^2/9 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);Z: Hyperbola;H: Point;Coordinate(H) = (3, -6);PointOnCurve(H, Z);Asymptote(G) = Asymptote(Z)",
+      "coords": {
+        "H": [
+          3.0,
+          -6.0
+        ]
+      }
+    },
+    {
+      "index": 5471,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5472,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5473,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5474,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5474.png",
+      "answer": "(1, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Circle;Expression(H) = (-2*y + x^2 + y^2 - 1 = 0);Length(InterceptChord(Directrix(G), H)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5475,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5476,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5476.png",
+      "answer": "(0, pm*2)",
+      "fact_expr": "P: Point;F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);PointOnCurve(P, G);Vertex(TriangleOf(P, F1, F2)) = {P, F1, F2};Area(TriangleOf(P, F1, F2)) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 5477,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5477.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-y^2/9 + x^2/a^2 = 1);a>0;Expression(OneOf(Asymptote(G))) = (3*x - 2*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5478,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5478.png",
+      "answer": "y^2/4 - x^2/16 = 1",
+      "fact_expr": "G: Hyperbola;C: Hyperbola;H: Point;Expression(G) = (x^2 - 4*y^2 = 4);Coordinate(H) = (2, sqrt(5));Asymptote(G) = Asymptote(C);PointOnCurve(H, C)",
+      "coords": {
+        "H": [
+          2.0,
+          2.23606797749979
+        ]
+      }
+    },
+    {
+      "index": 5479,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.674137386787269,
+        "b": 1.1170897804012059,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.78399227733666e-06,
+        "converged": true,
+        "iterations": 61
+      },
+      "output_path": "results/train/hyperbola/problem_5479.png",
+      "answer": "{13/12, 13/5}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(5/12)*x)",
+      "coords": {}
+    },
+    {
+      "index": 5480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_5480.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;a: Number;Expression(G) = (-x^2 + y^2/a^2 = 1);Expression(Asymptote(G)) = (y = pm*sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 5481,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5482,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5483,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5483.png",
+      "answer": "y = -1/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 5484,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_5484.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;m: Number;m<4;Expression(G) = (x^2/4 + y^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 5485,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5486,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5486.png",
+      "answer": "(2/3)*sqrt(21)",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(A) = (0, 2);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5487,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5488,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5488.png",
+      "answer": "3",
+      "fact_expr": "A: Point;B: Point;G: Parabola;H: Line;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 5489,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5489.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;F1: Point;F2: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(F1, F2)) = 2;PointOnCurve(LeftFocus(G), H);Slope(H) = 2;Intersection(H, G) = {A, B};Area(TriangleOf(A,B,F2))= 4;IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 5490,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5490.png",
+      "answer": "x = 4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5491,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5491.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;FocalLength(C) = 2*c;c: Number;M: Circle;Expression(M) = (-2*c*y + x^2 + y^2 = 0);Intersection(M, C) = {A, B};A: Point;B: Point;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B)) = True;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 5492,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5493,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5493.png",
+      "answer": "x^2/15 - y^2/5 = 1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/36 + y^2/16 = 1);Focus(C) = Focus(G);Expression(Asymptote(C))=(pm*sqrt(3)*y+x=0)",
+      "coords": {}
+    },
+    {
+      "index": 5494,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5494.png",
+      "answer": "(\\sqrt{5}, +\\infty)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = 2*x);IsIntersect(G, H);Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 5495,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5495.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(F) = (y^2 + (x - 2)^2 = 3);IsTangent(Asymptote(C),F);OneOf(Focus(C))=Center(F)",
+      "coords": {}
+    },
+    {
+      "index": 5496,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.0654510707333538,
+        "b": 2.6632060182000887,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.6995812463854516e-05,
+        "converged": true,
+        "iterations": 75
+      },
+      "output_path": "results/train/hyperbola/problem_5496.png",
+      "answer": "4*y^2/31 - 25*x^2/31 = 1",
+      "fact_expr": "C: Hyperbola;G: Point;Coordinate(G) = (3, 8);Expression(Asymptote(C)) = (y = pm*(5/2)*x);PointOnCurve(G,C)",
+      "coords": {
+        "G": [
+          3.0,
+          8.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5497,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5497.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Circle;M: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A1;A1:Point;Center(A)=A1;Radius(A)=b;Intersection(A, OneOf(Asymptote(C))) = {M, N};Abs(LineSegmentOf(M, N)) = b",
+      "coords": {}
+    },
+    {
+      "index": 5498,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5498.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;P: Point;PointOnCurve(P, G);Expression(OneOf(Asymptote(G))) = (3*x - 2*y = 0);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5499,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5499.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;Negation(A = B);G: Parabola;Expression(G) = (y^2 = 4*x);IsChordOf(LineSegmentOf(A, B), G) = True;Negation(IsParallel(LineSegmentOf(A, B), yAxis));Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = P;P: Point;Coordinate(P) = (4, 0)",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5500,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5500.png",
+      "answer": "3*x-8*y+19=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;M: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(M) = (-1, 2);IsChordOf(H, G);MidPoint(H) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5501,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5502,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5502.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "C: Parabola;P: Point;A: Point;O: Origin;B: Point;a:Number;Expression(C) = (x^2 = 4*y);Coordinate(P) = (a,-2);L1:Line;L2:Line;PointOnCurve(P,L1);PointOnCurve(P,L2);TangentPoint(L1,C)=A;TangentPoint(L2,C)=B",
+      "coords": {}
+    },
+    {
+      "index": 5503,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5504,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5504.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 2*b;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = (3/2)*(a*b)",
+      "coords": {}
+    },
+    {
+      "index": 5505,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5506,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5507,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5507.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F: Point;A: Point;Q: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F;LeftVertex(G)=A;PointOnCurve(P, G);PointOnCurve(Q, G);IsPerpendicular(LineSegmentOf(P, F), LineSegmentOf(A, F));Tan(AngleOf(P, A, F)) = 1/2;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 5508,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5508.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Real;Expression(G) = (x^2 - y^2/3 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));PointOnCurve(LeftFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 5509,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5509.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;F: Point;B: Point;e: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(l)=(y=x+1);Intersection(l,C)={A,B};Intersection(l,xAxis)=F;LeftFocus(C)=F;VectorOf(A, F) = 3*VectorOf(F, B);Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 5510,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5511,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5511.png",
+      "answer": "27/4",
+      "fact_expr": "G: Parabola;H: Line;A: Point;O: Origin;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};AngleOf(A, O, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5512,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5512.png",
+      "answer": "(-2,0)  \nx=9/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5513,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5513.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;F2: Point;M: Point;F1: Point;E: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = b^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, C);TangentPoint(LineSegmentOf(M,F2), G) = E;MidPoint(LineSegmentOf(M,F2)) = E",
+      "coords": {}
+    },
+    {
+      "index": 5514,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5514.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;l: Line;Directrix(C) = l;P: Point;PointOnCurve(P, l);Q: Point;OneOf(Intersection(LineOf(P, F), C)) = Q;VectorOf(P, F) = 3*VectorOf(Q, F)",
+      "coords": {}
+    },
+    {
+      "index": 5515,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5515.png",
+      "answer": "2*p",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;C: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G)=F;Intersection(Directrix(G), xAxis) = C;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F,LineSegmentOf(A,B));AngleOf(C, B, F) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5516,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5516.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F2) = (2, 0);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Tan(AngleOf(F1, P, F2)) = 4/3;Area(TriangleOf(P,F1,F2)) = 6",
+      "coords": {
+        "F2": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5517,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5517.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Parabola;Expression(H) = (y = x^2/2 + 2);IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 5518,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5519,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5519.png",
+      "answer": "x^2/3 - y^2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G)=Focus(H);Distance(Focus(G),Asymptote(G))=1",
+      "coords": {}
+    },
+    {
+      "index": 5520,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5520.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "G: Ellipse;H: Line;F1: Point;A: Point;B: Point;Expression(G) = (x^2/2 + y^2 = 1);Expression(H) = (y = x - 1);LeftFocus(G) = F1;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5521,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5521.png",
+      "answer": "20",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/36 + y^2/20 = 1);M: Point;PointOnCurve(M, G) = True;IsPerpendicular(LineSegmentOf(M, F1), LineSegmentOf(M, F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 5522,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5522.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5523,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5523.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);P: Point;PointOnCurve(P, G);Distance(P, LeftDirectrix(G)) = 10;F: Point;LeftFocus(G) = F;M: Point;O: Origin;VectorOf(O, M) = (1/2)*(VectorOf(O, P) + VectorOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 5524,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5524.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(OneOf(Focus(G)),OneOf(Asymptote(G)))=(1/4)*FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 5525,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5526,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5526.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F: Point;B: Point;k: Real;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (-3*a*k + 2*(k*x) - 2*y = 0);RightFocus(C) = F;PointOnCurve(F,l);Intersection(l, C) = {A, B};VectorOf(A, F) = 7*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 5527,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5527.png",
+      "answer": "[\\sqrt{3}/3,1)",
+      "fact_expr": "P: Point;F1: Point;F2:Point;G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P, RightDirectrix(G));PointOnCurve(F2,PerpendicularBisector(LineSegmentOf(P,F1)))",
+      "coords": {}
+    },
+    {
+      "index": 5528,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5528.png",
+      "answer": "4",
+      "fact_expr": "H: Line;Inclination(H) = pi/4;G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;A: Point;B: Point;Intersection(H, G) = {A, B};PointOnCurve(F, H)",
+      "coords": {}
+    },
+    {
+      "index": 5529,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5530,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5530.png",
+      "answer": "Answer is incorrect\nApplyUnit(120, degree)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5531,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5531.png",
+      "answer": "x^2 - y^2 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (sqrt(2), 1);RightFocus(C) = F2;LeftFocus(C) = F1;PointOnCurve(P, C);Eccentricity(C) = e;e = sqrt(2)",
+      "coords": {
+        "P": [
+          1.4142135623730951,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5532,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5533,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_5533.png",
+      "answer": "2/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/(m + 2) + x^2/m = 1);m: Number;m>0;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 5534,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5535,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.9970735311508179,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 2.85904548036342e-06,
+        "converged": true,
+        "iterations": 88
+      },
+      "output_path": "results/train/parabola/problem_5535.png",
+      "answer": "16*sqrt(2)",
+      "fact_expr": "P: Point;Coordinate(P) = (2, 4);PointOnCurve(P, C);C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;F: Point;Focus(C) = F;l: Line;Inclination(l) = ApplyUnit(45, degree);PointOnCurve(F, l);M: Point;N: Point;Intersection(l, C) = {M, N}",
+      "coords": {
+        "P": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5536,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5536.png",
+      "answer": "4",
+      "fact_expr": "O: Origin;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>=0;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);P: Point;Negation(P=A);Negation(P=B);AngleOf(A, O, B) = ApplyUnit(90, degree);Max(Distance(O, LineOf(A, B))) = 8",
+      "coords": {}
+    },
+    {
+      "index": 5537,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_5537.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Expression(Asymptote(G)) = (y = pm*(sqrt(3)*x))",
+      "coords": {}
+    },
+    {
+      "index": 5538,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5538.png",
+      "answer": "(\\sqrt{3}+1)/2",
+      "fact_expr": "F: Point;RightFocus(C) = F;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;PointOnCurve(M,RightPart(C)) = True;O: Origin;Abs(LineSegmentOf(F, M)) = 2*Abs(LineSegmentOf(O, F));AngleOf(O, F, M) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5539,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.9959803819656372,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.6780886603082763e-07,
+        "converged": true,
+        "iterations": 56
+      },
+      "output_path": "results/train/parabola/problem_5539.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;a: Number;A: Point;Expression(G) = (y^2 = a*x);Coordinate(A) = (1/4, 1);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          0.25,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5540,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5540.png",
+      "answer": "(2*sqrt(3))/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;B: Point;Endpoint(LineSegmentOf(A, B)) = {A, B};PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, B)) = 2;x0: Number;y0: Number;M: Point;Coordinate(M) = (x0, y0);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 5541,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5541.png",
+      "answer": "x^2/2 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;l:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*sqrt(2)*x);Expression(l)=(y=sqrt(3)*x-1);IsParallel(l,OneOf(Asymptote(G)));PointOnCurve(OneOf(Focus(G)),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 5542,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5542.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Intersection(l, Directrix(G)) = C;VectorOf(F, C) = 4*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 5543,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5543.png",
+      "answer": "2*sqrt(5)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5544,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5545,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5545.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;M: Point;P: Point;N: Point;a:Number;b:Number;a>b;b>0;k1:Number;k2:Number;Expression(G)=(x^2/a^2+y^2/b^2=1);LeftVertex(G)=M;RightVertex(G)=N;PointOnCurve(P, G);Slope(LineOf(P, M)) = k1;Slope(LineOf(P,N))=k2;Negation(k1*k2=0);Min(Abs(k1) + Abs(k2)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5546,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5547,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5547.png",
+      "answer": "sqrt(14)/4",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F: Point;RightFocus(C)=F;G: Circle;H: Line;Expression(H) = (y = b/3);A: Point;B: Point;Intersection(H, C) = {A, B};IsDiameter(LineSegmentOf(A,B),G);PointOnCurve(F, G)",
+      "coords": {}
+    },
+    {
+      "index": 5548,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_5548.png",
+      "answer": "y=pm*(sqrt(2)*x)",
+      "fact_expr": "G: Hyperbola;m: Number;m>0;Expression(G) = (-y^2/4 + x^2/m = 1);Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5549,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5549.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;A: Point;B: Point;C: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(G)=A;PointOnCurve(A,H);Slope(H)=-1;L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H,L1)=B;Intersection(H,L2)=C;VectorOf(A, B) = VectorOf(B, C)/2",
+      "coords": {}
+    },
+    {
+      "index": 5550,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5550.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Ellipse;A: Point;F: Point;B: Point;l: Line;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) = F;LeftDirectrix(C) = l;PointOnCurve(A,l);VectorOf(F, A) = 3*VectorOf(F, B);Intersection(LineSegmentOf(A,F), C) = B",
+      "coords": {}
+    },
+    {
+      "index": 5551,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5551.png",
+      "answer": "x = 1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x)",
+      "coords": {}
+    },
+    {
+      "index": 5552,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5552.png",
+      "answer": "sqrt(3)*x+pm*2*y=0",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 4*a;AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5553,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5553.png",
+      "answer": "14",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 8*x);F: Point;Focus(E) = F;PointOnCurve(F, G) = True;G: Line;Intersection(G, E) = {A, B};A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), E) = True;MidPoint(LineSegmentOf(A, B)) = M;M: Point;L: Line;PointOnCurve(M, L) = True;IsPerpendicular(L, Directrix(E)) = True;Intersection(L, E) = P;P: Point;Abs(LineSegmentOf(P, F)) = 7/2",
+      "coords": {}
+    },
+    {
+      "index": 5554,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5554.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;l: Line;P: Point;F: Point;Q: Point;O: Origin;Expression(C) = (y^2 = 8*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);OneOf(Intersection(LineOf(P, F), C)) = Q;VectorOf(F, P) = 4*VectorOf(F, Q)",
+      "coords": {}
+    },
+    {
+      "index": 5555,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5556,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5557,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5557.png",
+      "answer": "-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Circle;m: Number;Expression(H) = (m*x + x^2 + y^2 - 4 = 0);Focus(G) = Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 5558,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5558.png",
+      "answer": "15/4",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 3*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5559,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5559.png",
+      "answer": "(3*sqrt(3))/2",
+      "fact_expr": "P: Point;G: Curve;Expression(G) = (y = x^2);PointOnCurve(P, G);l: Line;TangentOnPoint(P, G) = l;H: Line;PointOnCurve(P, H);IsPerpendicular(H, l);Q: Point;Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 5560,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5561,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5561.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F2: Point;F1: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F1, H) = True;Intersection(H, G) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 5562,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5562.png",
+      "answer": "pm*1",
+      "fact_expr": "Z: Line;Expression(Z) = (y = k*x + 1);k: Number;Negation(k=0);G: Parabola;Expression(G) = (x^2 = 4*y);E: Point;F: Point;Intersection(Z, G) = {E, F};H: Circle;IsDiameter(LineSegmentOf(E, F), H);Length(InterceptChord(xAxis, H)) = 2*sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 5563,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5564,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5564.png",
+      "answer": "1/2",
+      "fact_expr": "Gamma: Ellipse;A: Point;F: Point;B: Point;M: Point;N: Point;Expression(Gamma) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (3, 0);Coordinate(N) = (12, 0);RightFocus(Gamma) = F;UpperVertex(Gamma) = A;LowerVertex(Gamma) = B;Intersection(LineOf(A,F), Gamma) = {A,M};Intersection(LineOf(B,M), xAxis) = N;a:Number;b:Number;a>b;b>0",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ],
+        "N": [
+          12.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5565,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5566,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5566.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(G) = F1;RightFocus(G) = F2;IsDiameter(LineSegmentOf(F1, F2), H) = True;H: Circle;OneOf(Intersection(G, H)) = P;P: Point;AngleOf(P, F1, F2) = 2*AngleOf(P, F2, F1)",
+      "coords": {}
+    },
+    {
+      "index": 5567,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5567.png",
+      "answer": "2",
+      "fact_expr": "C1: Ellipse;C2: Hyperbola;a, b: Number;a_, b_: Number;a > b;b > 0;Expression(C1) = (x^2/a^2 + y^2/b^2 = 1);a_ > 0;b_ > 0;Expression(C2) = (x^2/a_^2 - y^2/b_^2 = 1);F1: Point;F2: Point;Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};P: Point;OneOf(Intersection(C1, C2)) = P;AngleOf(F1, P, F2) = ApplyUnit(90, degree);e1: Number;e2: Number;Eccentricity(C1) = e1;Eccentricity(C2) = e2",
+      "coords": {}
+    },
+    {
+      "index": 5568,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.8253217034665385,
+        "b": 1.8623655158696077,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 3.1260700230116838e-06,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/train/ellipse/problem_5568.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;H: Point;I: Point;O: Origin;Coordinate(H) = (4, 0);Coordinate(I) = (0, 2);Center(G) = O;SymmetryAxis(G)=axis;PointOnCurve(H,G);PointOnCurve(I,G)",
+      "coords": {
+        "H": [
+          4.0,
+          0.0
+        ],
+        "I": [
+          0.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 5569,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5569.png",
+      "answer": "{x^2/25+y^2/21=1,x^2/16+y^2/12=1}",
+      "fact_expr": "M: Circle;C1:Circle;C2:Circle;M1:Point;Expression(C1)=((x+2)^2+y^2=1);Expression(C2)=((x-2)^2+y^2=81);IsTangent(M,C1);IsTangent(M,C2);Center(M)=M1",
+      "coords": {}
+    },
+    {
+      "index": 5570,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5570.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = -4*y);l: Line;PointOnCurve(Focus(G), l);P: Point;Q: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);Intersection(l, G) = {P, Q};y1 + y2 = -6",
+      "coords": {}
+    },
+    {
+      "index": 5571,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5571.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);Coordinate(A) = (3, 1);PointOnCurve(P, RightPart(G));RightFocus(G) = F",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5572,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5572.png",
+      "answer": "1/7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/12 + y^2/3 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;PointOnCurve(MidPoint(LineSegmentOf(P, F1)), yAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 5573,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5573.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = 2*x - 3);Intersection(H, G) = {A, B};Slope(LineOf(O, A)) = k1;Slope(LineOf(O, B)) = k2;k1:Number;k2:Number",
+      "coords": {}
+    },
+    {
+      "index": 5574,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5574.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (x^2 = 4*y);PointOnCurve(P, G);Focus(G) = F;Abs(LineSegmentOf(P, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5575,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5575.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;M: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, H);Inclination(H) = ApplyUnit(30, degree);Intersection(H, RightPart(G)) = M;IsPerpendicular(LineSegmentOf(M, F2), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5576,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5576.png",
+      "answer": "(x-1)^2+y^2=36",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (5, -2*sqrt(5));Focus(G)=Center(H);PointOnCurve(P,H)",
+      "coords": {
+        "P": [
+          5.0,
+          -4.47213595499958
+        ]
+      }
+    },
+    {
+      "index": 5577,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5577.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;P: Point;F2: Point;F1: Point;O:Origin;B: Point;e:Number;b > a;a > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = b^2);LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C)=e;PointOnCurve(P, RightPart(C));IsPerpendicular(LineSegmentOf(P, F2), LineSegmentOf(F1, F2));PointOnCurve(B, G);VectorOf(O, B) = (2/sqrt(21))*VectorOf(O, P)",
+      "coords": {}
+    },
+    {
+      "index": 5578,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5578.png",
+      "answer": "34",
+      "fact_expr": "G: Hyperbola;a: Number;P: Point;F1: Point;F2: Point;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P,F1))=2*Abs(LineSegmentOf(P,F2));Abs(LineSegmentOf(P,F1))=16",
+      "coords": {}
+    },
+    {
+      "index": 5579,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5579.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "C2: Hyperbola;C1: Ellipse;F1: Point;A: Point;F2: Point;Expression(C1) = (x^2/4 + y^2 = 1);Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};Intersection(C1, C2) = A;Quadrant(A) = 2;AngleOf(F1, A, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 5580,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5580.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5581,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5582,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5582.png",
+      "answer": "9*sqrt(5)/2",
+      "fact_expr": "G: Parabola;H: Line;I: Point;A: Point;B: Point;C: Point;Expression(G) = (y^2 = 6*x);Coordinate(I) = (3, 0);PointOnCurve(I, H);Intersection(H, G) = {A, B};Intersection(H,yAxis)=C;VectorOf(A, B) = 3*VectorOf(B, C)",
+      "coords": {
+        "I": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5583,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5583.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;Inclination(l) = ApplyUnit(45, degree);PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5584,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5584.png",
+      "answer": "sqrt(5)*2",
+      "fact_expr": "C: Parabola;A: Point;K: Point;F: Point;O: Origin;Expression(C) = (y^2 = 8*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = K;PointOnCurve(A, C);Abs(LineSegmentOf(A, K)) = sqrt(2)*Abs(LineSegmentOf(A, F))",
+      "coords": {}
+    },
+    {
+      "index": 5585,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5585.png",
+      "answer": "(0, \\sqrt{2}/2]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;p: Point;F1: Point;F2: Point;a>b;b>0;x1:Number;y1:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(p) = (x1, y1);PointOnCurve(p, G);Focus(G) = {F1, F2};AngleOf(F1,p,F2)<=ApplyUnit(90,degree)",
+      "coords": {}
+    },
+    {
+      "index": 5586,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5586.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "H: Line;Expression(H) = (x + 2*y - 3 = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;B: Point;Intersection(H, G) = {A, B};Z: Line;Expression(Z) = (3*x - 4*y + 1 = 0);PointOnCurve(MidPoint(LineSegmentOf(A, B)), Z)",
+      "coords": {}
+    },
+    {
+      "index": 5587,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5588,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5589,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_5589.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "O: Origin;Center(G) = O;G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(sqrt(3)*x));H: Point;Coordinate(H) = (sqrt(2), sqrt(3));PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.4142135623730951,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5590,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5591,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/train/hyperbola/problem_5591.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = 3;H: Circle;Expression(H) = (m - 6*y + x^2 + y^2 = 0);m: Number;IsTangent(Asymptote(G), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 5592,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5592.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;D: Ellipse;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(D) = (x^2/4 + y^2/3 = 1);InterReciprocal(Eccentricity(C),Eccentricity(D))",
+      "coords": {}
+    },
+    {
+      "index": 5593,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5593.png",
+      "answer": "(4, 4)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);Q: Point;PointOnCurve(Q, G);A: Point;Coordinate(A) = (7, 8);WhenMin(Distance(Q, A) + Distance(Q, Directrix(G)))",
+      "coords": {
+        "A": [
+          7.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 5594,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5594.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;M: Point;PointOnCurve(M, G);XCoordinate(M) = 4;F: Point;Focus(G) = F;Distance(M, F) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5595,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5595.png",
+      "answer": "[sqrt(2)/2, 1]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, OneOf(Asymptote(G)));A: Point;FootPoint(L, OneOf(Asymptote(G))) = A;O: Origin;Area(TriangleOf(O, A, F)) = 2;e: Number;Eccentricity(G) = e;In(e, [sqrt(17), sqrt(65)])",
+      "coords": {}
+    },
+    {
+      "index": 5596,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5596.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);G: Hyperbola;Focus(H) = Vertex(G);Vertex(H) = Center(G);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5597,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5597.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Parabola;B: Point;A: Point;Expression(G) = (x^2 = 4*y);IsChordOf(LineSegmentOf(A, B),G);Length(LineSegmentOf(A, B)) = 8;WhenMin(Distance(MidPoint(LineSegmentOf(A,B)),xAxis))",
+      "coords": {}
+    },
+    {
+      "index": 5598,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5598.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*x*4/3);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 5599,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5599.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;l: Line;Directrix(C) = l;Distance(Focus(C), l) = 4;G: Circle;Expression(G) = (-6*x + x^2 + y^2 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5600.png",
+      "answer": "8/3",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;F: Point;E: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};VectorOf(A, F) = 3*VectorOf(F, B);MidPoint(LineSegmentOf(A, B)) = E",
+      "coords": {}
+    },
+    {
+      "index": 5601,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5602,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5602.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(G) = (x^2/16 - y^2/9 = 1);Focus(H)=Vertex(G);InterReciprocal(Eccentricity(G),Eccentricity(H))",
+      "coords": {}
+    },
+    {
+      "index": 5603,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5604,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5604.png",
+      "answer": "3*x+pm*4*y=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 5605,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5605.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P:Point;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5606,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.5030499696731567,
+        "b": 2.00545072555542,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.3176339734854992e-06,
+        "converged": true,
+        "iterations": 109
+      },
+      "output_path": "results/train/hyperbola/problem_5606.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;P: Point;T: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F;PointOnCurve(F, l);TangentPoint(l, G) = T;Intersection(l, RightPart(C)) = P;Eccentricity(C) = 5/3",
+      "coords": {}
+    },
+    {
+      "index": 5607,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5607.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;a>0;Expression(G) = (-y^2/16 + x^2/a^2 = 1);Coordinate(H) = (3, 0);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5608,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5609,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5609.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;F: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;RightVertex(C)=A;Abs(LineSegmentOf(O, F)) = 2*Abs(LineSegmentOf(O, A))",
+      "coords": {}
+    },
+    {
+      "index": 5610,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          2.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5610.png",
+      "answer": "(0,1/8)",
+      "fact_expr": "C: Parabola;m: Number;M: Circle;Expression(C) = (m*y + 4*x^2 = 0);Expression(M) = ((x - 1)^2 + (y - 2)^2 = 1);PointOnCurve(Center(M),C)",
+      "coords": {}
+    },
+    {
+      "index": 5611,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5612,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5613,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5613.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = b^2);RightFocus(C) = F;L1:Line;L2:Line;TangentOfPoint(F,G)={L1,L2};IsPerpendicular(L1,L2)",
+      "coords": {}
+    },
+    {
+      "index": 5614,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5614.png",
+      "answer": "8/5",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(RightFocus(G), H);Slope(H) = 1;Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 5615,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5616,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5616.png",
+      "answer": "(1/2,1/2)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y = 2*x^2);Expression(H) = (2*x - y - 4 = 0);PointOnCurve(P, G);WhenMin(Distance(P,H));P:Point",
+      "coords": {}
+    },
+    {
+      "index": 5617,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5617.png",
+      "answer": "(-oo, 0)",
+      "fact_expr": "a: Number;b: Number;e1: Number;e2: Number;m: Number;a>b;b>0;C1: ConicSection;C2: ConicSection;Expression(C1) = (x^2/a^2+y^2/b^2=1);Expression(C2) = (x^2/a^2-y^2/b^2=1);Eccentricity(C1) = e1;Eccentricity(C2) = e2;m = lg(e1) + lg(e2)",
+      "coords": {}
+    },
+    {
+      "index": 5618,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5618.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree);Area(TriangleOf(P, F1, F2)) = 3*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5619,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5619.png",
+      "answer": "5/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;B: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, l);Intersection(l, RightPart(C)) = {A, B};Abs(LineSegmentOf(F1, F2)) = Abs(LineSegmentOf(F1, B));VectorOf(A, F2) = 2*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 5620,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5620.png",
+      "answer": "16",
+      "fact_expr": "F2: Point;F1: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1);P: Point;PointOnCurve(P, LeftPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 5621,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5622,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5623,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5623.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;l1:Line;l2:Line;Expression(l1)=(3*x - 4*y - 9 = 0);Expression(l2)=(y = -1/4);Expression(G)=(y=x^2);PointOnCurve(P,G);P:Point",
+      "coords": {}
+    },
+    {
+      "index": 5624,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5624.png",
+      "answer": "pi/4",
+      "fact_expr": "E: Parabola;p: Number;B: Point;A: Point;F: Point;p>0;Expression(E) = (y^2 = 2*(p*x));Focus(E) = F;PointOnCurve(A,E);PointOnCurve(B,E);Quadrant(A)=1;Quadrant(B)=1;Abs(LineSegmentOf(F, A)) = 3;Abs(LineSegmentOf(F, B)) = 5;Abs(LineSegmentOf(A, B)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5625,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5625.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;x1:Number;y1:Number;Expression(G) = (y^2 = 4*x);Coordinate(P) = (x1, y1);Coordinate(A) = (-1, 0);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5626,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5627,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5627.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);Center(InscribedCircle(TriangleOf(P,F1,F2)))=I;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = DotProduct(VectorOf(P, I), VectorOf(P, F1));IsPerpendicular(LineSegmentOf(P,F2),LineSegmentOf(F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 5628,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5628.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;A: Point;B: Point;P: Point;Expression(C) = (y^2 = 4*x);IsChordOf(LineSegmentOf(A,B),C);MidPoint(LineSegmentOf(A,B))=P;Distance(P, yAxis) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5629,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5630,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5630.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;P: Point;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(M) = (6, 4);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5631,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5632,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5633,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5633.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;P: Point;PointOnCurve(P,G) = True;A: Point;IsPerpendicular(LineSegmentOf(P, A), l) = True;FootPoint(LineSegmentOf(P, A), l) = A;Slope(LineOf(A, F)) = -sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5634,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5635,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5635.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2/8 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 5636,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5636.png",
+      "answer": "22",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;F2: Point;F1:Point;Expression(G) = (x^2 - y^2 = 4);Abs(LineSegmentOf(P, Q)) = 7;RightFocus(G) = F2;LeftFocus(G)=F1;PointOnCurve(F1,LineSegmentOf(P,Q));IsChordOf(LineSegmentOf(P,Q),LeftPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 5637,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5637.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/9 = 1);F1:Point;F2:Point;P:Point;Focus(G)={F1,F2};PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5638,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5639,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5639.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);H: Line;Expression(H) = (3*x - 4*y - 4 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5640,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5640.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (x^2 = 8*y);Focus(G)=F;Coordinate(A) = (x1,y1);Coordinate(B)=(x2,y2);PointOnCurve(F,H);Intersection(H,G) = {B, A};y1 + y2 = 8;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 5641,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5641.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;B: Point;A: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (2, 1);Slope(l)=2;Intersection(l,C) = {A, B};MidPoint(LineSegmentOf(A,B))=P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5642,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5642.png",
+      "answer": "2*sqrt(21)/5",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (3*x + 4*y = 0);P:Point;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5643,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5643.png",
+      "answer": "2*x+2*y-3=0",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);Intersection(l, G) = {A, B};A: Point;B: Point;Coordinate(MidPoint(LineSegmentOf(A,B))) = (1,1/2)",
+      "coords": {}
+    },
+    {
+      "index": 5644,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_5644.png",
+      "answer": "pm*2",
+      "fact_expr": "G: Hyperbola;a: Real;Expression(G) = (x^2/2 - y^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 5645,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5645.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;H: Line;A: Point;B: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);IsPerpendicular(H, xAxis);Intersection(H, G) = {A, B};DotProduct(VectorOf(F1, A), VectorOf(F1, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 5646,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5646.png",
+      "answer": "(a^2+b^2)/(a^2*b^2)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Origin;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A,G);PointOnCurve(B,G);Center(G)=O;IsPerpendicular(LineSegmentOf(A,O),LineSegmentOf(B,O))",
+      "coords": {}
+    },
+    {
+      "index": 5647,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5647.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;Slope(l) = 2;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;Coordinate(M) = (2, 1);MidPoint(InterceptChord(l, C)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5648,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5649.png",
+      "answer": "y^2/64 - x^2/36 = 1",
+      "fact_expr": "G: Hyperbola;H: Hyperbola;A: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (6, 8);PointOnCurve(A, H);Asymptote(G) = Asymptote(H)",
+      "coords": {
+        "A": [
+          6.0,
+          8.0
+        ]
+      }
+    },
+    {
+      "index": 5650,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5650.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 2*(p*x));Distance(LeftVertex(G),Focus(H))=4;Coordinate(Intersection(OneOf(Asymptote(G)),Directrix(H)))=(-2,-1)",
+      "coords": {}
+    },
+    {
+      "index": 5651,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5651.png",
+      "answer": "[4*sqrt(15)/15, 2*sqrt(3)/3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;l: Line;OneOf(Asymptote(C)) = l;Slope(l)>0;E: Curve;Expression(E) = (sqrt(-x^2 + 4*x));A: Point;B: Point;D: Point;Negation(A=B);Negation(A=D);Negation(B=D);PointOnCurve(A, E);PointOnCurve(B, E);PointOnCurve(D, E);Distance(A, l) = 1;Distance(B, l) = 1;Distance(D, l) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5652,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5653,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5654,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5654.png",
+      "answer": "[6-sqrt(2),6+sqrt(2)]",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;M: Point;Expression(G) = (x^2/9 + y^2/5 = 1);Coordinate(M) = (1, 1);LeftFocus(G) = F1;PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5655,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5655.png",
+      "answer": "y=-1/16",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/4)",
+      "coords": {}
+    },
+    {
+      "index": 5656,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5656.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;H: Ellipse;m: Number;Expression(G) = (x^2 = 4*y);Expression(H) = (m*y^2 + x^2 = 1);OneOf(Focus(H)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5657,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5657.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;x1: Number;y1: Number;x2: Number;y2: Number;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};x1 + x2 = 8",
+      "coords": {}
+    },
+    {
+      "index": 5658,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 2.6457513110645907,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5658.png",
+      "answer": "x^2/16+y^2/7=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(G) = (x^2/2 - y^2/7 = 1);Focus(G)=Focus(H);Length(MajorAxis(H))=8",
+      "coords": {}
+    },
+    {
+      "index": 5659,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5659.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;M: Circle;r: Number;P: Point;A: Point;B: Point;Expression(C) = (x^2/8 + y^2/2 = 1);0 < r;r < sqrt(2);Expression(M) = (y^2 + (x + sqrt(2))^2 = r^2);UpperVertex(C) = P;l1: Line;l2: Line;TangentOfPoint(P, M) = {l1, l2};Intersection(l1, C) = A;Intersection(l2, C) = B;Negation(A = P);Negation(B = P)",
+      "coords": {}
+    },
+    {
+      "index": 5660,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5661,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5662,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5662.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5663,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5663.png",
+      "answer": "2*sqrt(15)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);L: Line;k: Number;Expression(L) = (y = k*x - 2);A: Point;B: Point;Intersection(L,G) = {A,B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5664,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5664.png",
+      "answer": "[sqrt(5)/2,sqrt(5)]",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;c: Number;s: Number;H: Point;I: Point;J: Point;K: Point;e: Number;s>=(4/5)*c;a>1;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (a, 0);Coordinate(I) = (0, b);Coordinate(J) = (1, 0);Coordinate(K) = (-1, 0);FocalLength(G) = 2*c;PointOnCurve(H,l);PointOnCurve(I,l);Distance(J,l)+Distance(K,l) = s;Eccentricity(G) = e",
+      "coords": {
+        "J": [
+          1.0,
+          0.0
+        ],
+        "K": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5665,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5665.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;Expression(G) = (x^2 + 4*y^2 = 4);Expression(H) = (x - 2*y + 2 = 0);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5666,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5667.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l);Intersection(l, RightPart(C)) = {P, Q};P: Point;Q: Point;Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));Abs(LineSegmentOf(P, Q)) = 4*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5668,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5668.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/a1^2+y^2/b1^2=1);a1: Number;b1: Number;a1>b1;b1>0;C2: Hyperbola;Expression(C2) = (x^2/a2^2-y^2/b2^2=1);a2: Number;b2: Number;a2>0;b2>0;F1: Point;F2: Point;Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};P: Point;OneOf(Intersection(C1, C2)) = P;e1: Number;e2: Number;Eccentricity(C1) = e1;Eccentricity(C2) = e2;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 5669,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5669.png",
+      "answer": "x^2=-4*y",
+      "fact_expr": "G: Parabola;P: Point;O: Origin;Coordinate(P) = (a,-2);Vertex(G) = O;PointOnCurve(Focus(G), yAxis);PointOnCurve(P, G);Distance(P, Focus(G)) = 3;a:Number",
+      "coords": {}
+    },
+    {
+      "index": 5670,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5670.png",
+      "answer": "y^2=16*x",
+      "fact_expr": "C: Parabola;Expression(C)=(y^2=2*p*x);p:Number;p>0;M: Point;F: Point;Focus(C)=F;m: Number;Coordinate(M) = (2, m);Abs(LineSegmentOf(M,F))=6;PointOnCurve(M,C)",
+      "coords": {}
+    },
+    {
+      "index": 5671,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5671.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/16 + x^2/a^2 = 1);a: Number;a>0;F: Point;OneOf(Focus(G)) = F;Coordinate(F) = (3, 0)",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5672,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5672.png",
+      "answer": "7*sqrt(2)/8",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y = x^2);Expression(H) = (y = x - 2);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5673,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5673.png",
+      "answer": "(0,2]+[8,+oo)",
+      "fact_expr": "G: Ellipse;m: Number;e:Number;Expression(G) = (x^2/4 + y^2/m = 1);Eccentricity(G)=e;Range(e)=[sqrt(2)/2,1)",
+      "coords": {}
+    },
+    {
+      "index": 5674,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5674.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/16 + y^2/9 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5675,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5675.png",
+      "answer": "10",
+      "fact_expr": "l: Line;C: Parabola;F: Point;A: Point;B: Point;Expression(C) = (x^2 = 8*y);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};XCoordinate(A)=2",
+      "coords": {}
+    },
+    {
+      "index": 5676,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5677,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5677.png",
+      "answer": "5/4",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;F: Point;Expression(G) = (y = x^2);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5678,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5678.png",
+      "answer": "2*sqrt(14)",
+      "fact_expr": "C: Ellipse;G: Line;P: Point;F: Point;Q: Point;O: Origin;Expression(C) = (x^2/16 + y^2/7 = 1);LeftFocus(C) = F;PointOnCurve(O, G);Intersection(G, C) = {P, Q};Abs(LineSegmentOf(P, F))*Abs(LineSegmentOf(Q, F)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 5679,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5679.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "P: Point;Coordinate(P) = (x0, y0);x0: Number;y0: Number;Negation(x0=pm*a);E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>b;b>0;PointOnCurve(P,E) = True;M: Point;N: Point;LeftVertex(E) = M;RightVertex(E) = N;Slope(LineOf(P,M)) * Slope(LineOf(P,N)) = -1/5",
+      "coords": {}
+    },
+    {
+      "index": 5680,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5681,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5682,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5682.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;E: Point;P: Point;Q: Point;Expression(G) = (x^2 + y^2/4 = 1);PointOnCurve(P,G);PointOnCurve(Q,G);Coordinate(E)=(0, 1);IsPerpendicular(LineSegmentOf(E, P), LineSegmentOf(E, Q))",
+      "coords": {
+        "E": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5683,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5683.png",
+      "answer": "[1, +\\infty)",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2 + x^2/a^2 = 1);a: Number;a>0;F1: Point;F2: Point;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;F: Point;Focus(G) = F;VectorOf(F1, F) = 3*VectorOf(F, F2);z: Number;z>=a^2-p^2;Focus(H)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 5684,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5684.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;P: Point;Q: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Slope(l)=sqrt(2)/2;Intersection(l, G) = {P, Q};F1:Point;F2:Point;Focus(G)={F1,F2};Projection(P,xAxis)=F1;Projection(Q,xAxis)=F2;Negation(P=Q)",
+      "coords": {}
+    },
+    {
+      "index": 5685,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5685.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(A) = (x0, 2);x0:Number;PointOnCurve(A,G);Distance(A,Focus(G))=2*Distance(A,yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5686,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5686.png",
+      "answer": "(-2, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5687,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5688,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5688.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y - 1 = 0);IsParallel(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 5689,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5690,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5690.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;M: Point;IsPerpendicular(LineSegmentOf(M, F), xAxis);P: Point;MidPoint(LineSegmentOf(M, F)) = P;A: Point;B: Point;Vertex(G) = {A, B};WhenMax(AngleOf(A, P, B));PointOnCurve(M, G)",
+      "coords": {}
+    },
+    {
+      "index": 5691,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5691.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Circle;A: Point;O: Origin;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);l1:Line;l2:Line;PointOnCurve(OneOf(Focus(C)),l1);PointOnCurve(OneOf(Focus(C)),l2);TangentOfPoint(OneOf(Focus(C)), G) = {l1, l2} ;TangentPoint(l1,G)=A;TangentPoint(l2,G)=B;AngleOf(A, O, B) = ApplyUnit(120,degree)",
+      "coords": {}
+    },
+    {
+      "index": 5692,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5692.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/3 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5693,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5693.png",
+      "answer": "{5,3}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/4 + x^2/m = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5694,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5694.png",
+      "answer": "{1, 4}",
+      "fact_expr": "C1: Circle;C2: Circle;C3: Circle;Omega: Curve;r: Number;r > 0;Expression(C1) = (y^2 + (x - 2)^2 = 4);Expression(C2) = ((x + r)^2 + y^2 = r^2);IsOutTangent(C3, C1);IsOutTangent(C3, C2);Locus(Center(C3))=Omega;Eccentricity(Omega) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5695.png",
+      "answer": "pm*sqrt(3)/2",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;H: Circle;M: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = b^2);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);TangentPoint(l, H) = M;Abs(LineSegmentOf(M, F2)) = 2*Abs(LineSegmentOf(M, F1))",
+      "coords": {}
+    },
+    {
+      "index": 5696,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5697,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5697.png",
+      "answer": "[1,2]",
+      "fact_expr": "G: Ellipse;O: Origin;P: Point;Expression(G) = (4*x^2 + y^2 = 4);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5698,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5699,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5699.png",
+      "answer": "x^2+y^2=4",
+      "fact_expr": "M: Point;PointOnCurve(M, G);G: Ellipse;Expression(G) = (x^2/4 + y^2/9 = 1);IsPerpendicular(LineSegmentOf(M, D), xAxis);D: Point;FootPoint(LineSegmentOf(M, D), xAxis) = D;P: Point;PointOnCurve(P, LineSegmentOf(M, D));Abs(LineSegmentOf(D, M))/Abs(LineSegmentOf(D, P)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 5700,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5700.png",
+      "answer": "5/6",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 2*x);Focus(G) =  F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 25/12;Abs(LineSegmentOf(A, F)) < Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 5701,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5701.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;M: Circle;N: Circle;l1: Line;l2: Line;P: Point;A: Point;B: Point;C: Point;D: Point;Expression(G) = (x^2/3 + y^2/4 = 1);Expression(M) = (x^2 + (y - 1)^2 = 1);Expression(N) = (x^2 + (y + 1)^2 = 1);PointOnCurve(M1, l1);PointOnCurve(N1, l2);Intersection(l1, M) = {A, B};Intersection(l2, N) = {C, D};PointOnCurve(P, G);M1: Point;N1: Point;Center(M) = M1;Center(N) = N1",
+      "coords": {}
+    },
+    {
+      "index": 5702,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5702.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;p: Number;l: Line;O: Origin;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(F,l);Intersection(l,G) = {A, B};DotProduct(VectorOf(O, A), VectorOf(O, B)) = -3/4",
+      "coords": {}
+    },
+    {
+      "index": 5703,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5703.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;P: Point;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(M) = (6, 4);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5704,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5704.png",
+      "answer": "-8*sqrt(2)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;C: Point;F: Point;A: Point;B: Point;D: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (-a, 0);Coordinate(B) = (0, b);Coordinate(C) = (0, -b);LeftFocus(G) = F;Intersection(LineOf(C,F),LineOf(A, B))=D;Eccentricity(G) = e;e=1/3;e:Number;Vertex(G)={A,B,C}",
+      "coords": {}
+    },
+    {
+      "index": 5705,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5705.png",
+      "answer": "x^2/18 - y^2/8 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1);C:Hyperbola;Asymptote(G)=Asymptote(C)",
+      "coords": {}
+    },
+    {
+      "index": 5706,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5706.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 + y^2/5 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5707,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5707.png",
+      "answer": "y=pm*(1/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/8 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5708,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5708.png",
+      "answer": "sqrt(3) - 1",
+      "fact_expr": "G: Hyperbola;C: Ellipse;a: Number;b: Number;A: Point;F: Point;B: Point;Expression(G) = (x^2 - y^2/3 = 1);a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Intersection(OneOf(Asymptote(G)), C) = {A, B};IsPerpendicular(LineSegmentOf(A, F), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 5709,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5710,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5710.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (6, 3);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          6.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 5711,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5711.png",
+      "answer": "sqrt(3)*x+pm*y=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Eccentricity(G) = 2;OneOf(Focus(G)) = Focus(H);H: Parabola;Expression(H) = (y^2 = 16*x)",
+      "coords": {}
+    },
+    {
+      "index": 5712,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5712.png",
+      "answer": "(\\sqrt{5}/2,+\\infty)",
+      "fact_expr": "P: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(P, C) = True;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Diameter(InscribedCircle(TriangleOf(P, F1, F2))) = a",
+      "coords": {}
+    },
+    {
+      "index": 5713,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5713.png",
+      "answer": "[-sqrt(5)/2,sqrt(5)/2]",
+      "fact_expr": "G: Ellipse;H: Line;m: Real;Expression(G) = (4*x^2 + y^2 = 1);Expression(H) = (y = m + x);IsIntersect(G, H)",
+      "coords": {}
+    },
+    {
+      "index": 5714,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5714.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;P: Point;O: Origin;A: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (-2, 0);Center(G)=P;Radius(G)=5;Intersection(G, C) = {A, B};Abs(LineSegmentOf(O, A)) = sqrt(17)",
+      "coords": {
+        "P": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5715,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5715.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2/3 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5716,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5716.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/5 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, LeftPart(G));Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 5717,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5717.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;M: Point;O: Origin;A: Point;F: Point;B: Point;S1: Number;S2: Number;Expression(C) = (y^2 = 4*x);Coordinate(M) = (4, 0);Focus(C) = F;PointOnCurve(M, l);Intersection(l, C) = {A, B};Area(TriangleOf(O, A, F)) = S1;Area(TriangleOf(O, B, F)) = S2",
+      "coords": {
+        "M": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5718,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5718.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);G: Circle;A: Point;F: Point;M: Point;Coordinate(M) = (0, 2);PointOnCurve(A, C);Focus(C) = F;IsDiameter(LineSegmentOf(A, F), G) ;NumIntersection(G, yAxis) = 1;Intersection(G, yAxis) = M",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5719,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5719.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;A: Point;B: Point;F1: Point;F2: Point;a>0;b>0;H: Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1,H);IsPerpendicular(H,xAxis);Intersection(C,H) = {A,B};Abs(LineSegmentOf(A,B)) = 2*Abs(LineSegmentOf(F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 5720,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5720.png",
+      "answer": "4*sqrt(6)",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;F2: Point;F1: Point;Expression(G) = (x^2/6 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1,LineOf(A, B));Intersection(LineOf(A, B), G) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 5721,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5721.png",
+      "answer": "pm*4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;m: Number;Coordinate(M) = (1, m);PointOnCurve(M, G);Distance(M, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 5722,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5722.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/12 + y^2/3 = 1);F1: Point;LeftFocus(G) = F1;P: Point;PointOnCurve(P, G);M: Point;MidPoint(LineSegmentOf(P, F1)) = M;PointOnCurve(M, yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5723,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5724,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5725,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5725.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Circle;A: Point;O: Origin;B: Point;l1: Line;l2: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);TangentOfPoint(OneOf(Focus(C)), G) = {l1, l2};TangentPoint(l1, G)= A ;TangentPoint(l2, G)= B ;AngleOf(A, O, B) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5726,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5727,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5727.png",
+      "answer": "{-1, 1, -sqrt(5)/2, sqrt(5)/2}",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2 - y^2 = 4);Expression(H) = (y = k*x - 1);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5728,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5729,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5729.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;M: Point;E: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(G)) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, Asymptote(G));FootPoint(L, Asymptote(G)) = M;Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = E;LineSegmentOf(F, M) = LineSegmentOf(M, E)",
+      "coords": {}
+    },
+    {
+      "index": 5730,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5731,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5731.png",
+      "answer": "4+sqrt(5)",
+      "fact_expr": "G: Ellipse;A: Point;B: Point;P: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(A) = (1, 0);Coordinate(B) = (1, 1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          1.0,
+          0.0
+        ],
+        "B": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5732,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5732.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;e: Number;Eccentricity(G) = e;In(e, [1/2, sqrt(2)/2]);H: Line;Expression(H) = (y = 1 - x);Intersection(H, G) = {M, N};M: Point;N: Point;O: Origin;DotProduct(VectorOf(O, M), VectorOf(O, N)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 5733,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5733.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;Q: Point;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1,H);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(H,L1)=P;Intersection(H,L2)=Q;MidPoint(LineSegmentOf(F1,Q))=P;IsPerpendicular(LineSegmentOf(Q, F1), LineSegmentOf(Q, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5734,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5734.png",
+      "answer": "(1,2]",
+      "fact_expr": "C: Hyperbola;G: Circle;x0: Number;y0: Number;H: Line;b: Number;a: Number;a>0;b>0;P: Point;Expression(G) = ((x - x0)^2 + (y - y0)^2 = 1);Expression(H) = (2*a - a*y + b*x = 0);Coordinate(P) = (x0, y0);Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, H);NumIntersection(G, RightPart(C))=0",
+      "coords": {}
+    },
+    {
+      "index": 5735,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_5735.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/(a + 3)^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 5736,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5736.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/6 - y^2/m = 1);m: Number;Length(ImageinaryAxis(G)) = 6*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5737,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5738,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5738.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C1:Ellipse;C2:Circle;A: Point;O: Origin;B: Point;Expression(C1) = (x^2/36 + y^2/b^2 = 1);Expression(C2)=(x^2+y^2=9);PointOnCurve(P,C2);Intersection(TangentOfPoint(P,C2),C1)={A,B};AngleOf(A, O, B) = pi/2;P:Point;b: Number;0 < b;b < 6",
+      "coords": {}
+    },
+    {
+      "index": 5739,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5739.png",
+      "answer": "5*x + pm*4*y = 0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/25 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5740,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5740.png",
+      "answer": "-8",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(a*y));a: Number;Expression(Directrix(G)) = (y = 4)",
+      "coords": {}
+    },
+    {
+      "index": 5741,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.046616818012331,
+        "b": 3.9644919697671575,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.0501961192983754e-07,
+        "converged": true,
+        "iterations": 93
+      },
+      "output_path": "results/train/hyperbola/problem_5741.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, G);F1: Point;Coordinate(F1) = (-5, 0);Distance(P, F1) = 7;F2: Point;Coordinate(F2) = (5, 0)",
+      "coords": {
+        "F1": [
+          -5.0,
+          0.0
+        ],
+        "F2": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5742,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5742.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;F: Point;A: Point;B: Point;C: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 5743,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5744,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5744.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;O: Origin;PointOnCurve(O, G) = True;G: Line;Intersection(G, C) = {P, Q};P: Point;Q: Point;AngleOf(P, F, Q) = ApplyUnit(120, degree);Abs(LineSegmentOf(O, F)) = sqrt(3);Abs(LineSegmentOf(O, P)) = sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 5745,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          2.0
+        ],
+        "radius": 2.23606797749979
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5745.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "C: Circle;Expression(C) = (-4*y - 6*x + x^2 + y^2 + 8 = 0);A: Point;B: Point;Intersection(C, axis) = {A, B};G: Hyperbola;OneOf(Focus(G)) = A;OneOf(Vertex(G)) = B",
+      "coords": {}
+    },
+    {
+      "index": 5746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5746.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,Directrix(G));IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2));DotProduct(VectorOf(P,F1),VectorOf(P,F2))=4*a*b",
+      "coords": {}
+    },
+    {
+      "index": 5747,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5747.png",
+      "answer": "(x-5)^2+y^2=16",
+      "fact_expr": "G: Hyperbola;H: Ellipse;C:Circle;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (x^2/169 + y^2/144 = 1);Center(C)=RightFocus(H);IsTangent(Asymptote(G),C)",
+      "coords": {}
+    },
+    {
+      "index": 5748,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5749,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5749.png",
+      "answer": "[\\sqrt{17}, +\\infty)",
+      "fact_expr": "P: Point;x1: Number;y1: Number;Coordinate(P) = (x1, y1);C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);PointOnCurve(P, C);a: Number;2*x1 - y1 + a >=0",
+      "coords": {}
+    },
+    {
+      "index": 5750,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5751,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5752,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5753,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5754,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5754.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2 - y^2/15 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5755,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5755.png",
+      "answer": "-4/3",
+      "fact_expr": "G: Ellipse;l: Line;A: Point;B: Point;M: Point;m:Number;Expression(G) = (x^2/4 + y^2/3 = 1);Slope(l)=1;Intersection(l,G)={A,B};Coordinate(M) = (m, 1);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 5756,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5756.png",
+      "answer": "Slight",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);P:Point;PointOnCurve(P,G);Inclination(TangentOnPoint(P,G))=pi/4",
+      "coords": {}
+    },
+    {
+      "index": 5757,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5757.png",
+      "answer": "(4,0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5758,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5758.png",
+      "answer": "7",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;O: Origin;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 8*Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 5759,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5759.png",
+      "answer": "{(0,-sqrt(2)),(0,sqrt(2))}",
+      "fact_expr": "G: Ellipse;P: Point;F1:Point;F2:Point;m:Number;Expression(G) = (x^2/4 + y^2/2 = 1);PointOnCurve(P, G);Distance(P,F1)*Distance(P,F2)=m;WhenMax(m);Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 5760,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5760.png",
+      "answer": "pm*sqrt(2)/2",
+      "fact_expr": "C: Parabola;B: Circle;B1:Point;O: Origin;F: Point;A: Point;Expression(C) = (x^2 = 4*y);Focus(C) = F;PointOnCurve(A, C);CircumCircle(TriangleOf(O,F,A))=B;Center(B)=B1;IsTangent(Directrix(C),B);H:Line;PointOnCurve(B,H);IsTangent(H,C)",
+      "coords": {}
+    },
+    {
+      "index": 5761,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5761.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;F: Point;A: Point;B: Point;C: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);PointOnCurve(C,G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 5762,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5762.png",
+      "answer": "x^2/2 - y^2/4 = 1",
+      "fact_expr": "G:Hyperbola;H: Point;C:Hyperbola;Expression(G)=(x^2-y^2/2=1);Coordinate(H)=(2,2);Asymptote(G)=Asymptote(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5763,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5763.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;O: Origin;F: Point;L1:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(G))=F;PointOnCurve(F,L1);IsPerpendicular(OneOf(Asymptote(G)),L1);PointOnCurve(FootPoint(OneOf(Asymptote(G)),L1),PerpendicularBisector(LineSegmentOf(O,F)))",
+      "coords": {}
+    },
+    {
+      "index": 5764,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5764.png",
+      "answer": "{(0, 1), (0, -1)}",
+      "fact_expr": "G: Ellipse;F1: Point;A: Point;F2: Point;B: Point;Expression(G) = (x^2/3 + y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(F1, A) = 5*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 5765,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5765.png",
+      "answer": "3/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);F: Point;RightFocus(C) = F;P: Point;PointOnCurve(P, LeftPart(C));A: Point;Coordinate(A) = (0, sqrt(2));WhenMin(Perimeter(TriangleOf(A, P, F)))",
+      "coords": {
+        "A": [
+          0.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 5766,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5766.png",
+      "answer": "x-y=0",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;Expression(C) = (y^2 = 4*x);Coordinate(MidPoint(LineSegmentOf(A,B))) = (2, 2);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5767,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5767.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (4*x^2 - 9*y^2 = 36)",
+      "coords": {}
+    },
+    {
+      "index": 5768,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5768.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C)= F2;l: Line;RightDirectrix(C)=l;P: Point;PointOnCurve(P,l);AngleOf(F1,F2,P)=ApplyUnit(120,degree);ApplyUnit(30,degree)<=AngleOf(F1,P,F2);AngleOf(F1,P,F2)<ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 5769,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5769.png",
+      "answer": "x=-3/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;O: Origin;F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P, F), xAxis);Q: Point;PointOnCurve(Q, xAxis);IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(O, P));Abs(LineSegmentOf(F, Q)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5770,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5771,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5771.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;A: Point;P: Point;E: Point;l:Line;x0:Number;y0:Number;Negation(x0=0);Expression(C) = (x^2 = 4*y);Coordinate(A) = (0, 3);Coordinate(P) = (x0, y0);PointOnCurve(P,C);PointOnCurve(P, l);TangentOfPoint(P,C)=l;IsPerpendicular(l,LineSegmentOf(P, A));Intersection(l, yAxis) = E",
+      "coords": {
+        "A": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 5772,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5772.png",
+      "answer": "y = x",
+      "fact_expr": "l: Line;C: Parabola;F: Point;A: Point;B: Point;O: Origin;Coordinate(MidPoint(LineSegmentOf(A, B))) = (2, 2);Coordinate(F) = (1, 0);Vertex(C) = O;Intersection(l, C) = {A, B};Focus(C) = F",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5773,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5773.png",
+      "answer": "0",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;M: Point;l: Line;C:Line;Expression(G) = (y^2 = 4*x);Expression(H) = (x - y - 1 = 0);Expression(l) = (x = -1);Intersection(H,G)={A,B};PointOnCurve(MidPoint(LineSegmentOf(A,B)),C);IsPerpendicular(C,l);FootPoint(C,l)=M",
+      "coords": {}
+    },
+    {
+      "index": 5774,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5775,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5775.png",
+      "answer": "13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);P: Point;PointOnCurve(P, RightPart(G));H: Circle;Expression(H) = (y^2 + (x + 5)^2 = 9);Z: Circle;Expression(Z) = (y^2 + (x - 5)^2 = 4);M: Point;PointOnCurve(M, H);N: Point;PointOnCurve(N, Z)",
+      "coords": {}
+    },
+    {
+      "index": 5776,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5776.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/9 + y^2 = 1);P: Point;PointOnCurve(P, C);E: Circle;Expression(E) = (x^2 + (y - 4)^2 = 3);Q: Point;PointOnCurve(Q, E)",
+      "coords": {}
+    },
+    {
+      "index": 5777,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5777.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;F: Point;D: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, l);Intersection(l,C)={A,B};Intersection(l,Directrix(C))=D;Abs(LineSegmentOf(A, F)) = 6;VectorOf(D, B) = 2*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 5778,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5779,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5779.png",
+      "answer": "12",
+      "fact_expr": "l: Line;C: Parabola;p: Number;O: Origin;F: Point;A: Point;B: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Focus(C) = F;Abs(LineSegmentOf(O, F)) = 3/4;PointOnCurve(F, l);Slope(l)=sqrt(3);Intersection(l, C) = {A,B}",
+      "coords": {}
+    },
+    {
+      "index": 5780,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5780.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5781,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5781.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;P: Point;T: Point;F2: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, l);TangentPoint(l, G) = T;Intersection(l, RightPart(C)) = P;LineSegmentOf(F1, P) = 3*LineSegmentOf(F1, T)",
+      "coords": {}
+    },
+    {
+      "index": 5782,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5782.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5783,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5783.png",
+      "answer": "ApplyUnit(45,degree)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);M: Point;PointOnCurve(M, C) = True;F: Point;Focus(C) = F;O: Origin;Abs(LineSegmentOf(M,F)) = 2;K: Point;Intersection(Directrix(C),xAxis) = K",
+      "coords": {}
+    },
+    {
+      "index": 5784,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5785,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5785.png",
+      "answer": "y=(1/2)*x^2+1",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5786,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5786.png",
+      "answer": "1",
+      "fact_expr": "Gamma: Ellipse;F1: Point;A: Point;F2: Point;B: Point;lambda: Real;Expression(Gamma) = (x^2/3 + y^2 = 1);LeftFocus(Gamma) = F1;RightFocus(Gamma) = F2;PointOnCurve(A, Gamma);PointOnCurve(B, Gamma);Negation(A = Vertex(Gamma));Negation(B = Vertex(Gamma));lambda*VectorOf(F2, B) + VectorOf(F1, A) = 0;lambda > 0",
+      "coords": {}
+    },
+    {
+      "index": 5787,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5787.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;P: Point;F: Point;A: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (-1, 0);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5788,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5788.png",
+      "answer": "(1/2,2/3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A:Point;B: Point;F: Point;e: Number;k:Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C)=A;PointOnCurve(A,G);Slope(G) = k;1/3<k;k<1/2;Intersection(G,C) = {A, B};Projection(B, xAxis) = F;RightFocus(C)=F;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 5789,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5789.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-6*x + x^2 + y^2 + 5 = 0);Length(InterceptChord(Asymptote(G),H))=2",
+      "coords": {}
+    },
+    {
+      "index": 5790,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5790.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/36 - y^2/16 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5791,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5791.png",
+      "answer": "(5, 0)",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(M, F1)) = 4*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5792,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          0.0
+        ],
+        "radius": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5792.png",
+      "answer": "4*x^2/25+4*y^2/21=1",
+      "fact_expr": "C: Circle;Expression(C) = (y^2 + (x + 1)^2 = 25);A: Point;Coordinate(A) = (1, 0);Q: Point;PointOnCurve(Q, C) = True;Intersection(PerpendicularBisector(LineSegmentOf(A, Q)), LineSegmentOf(C, Q)) = M;M: Point",
+      "coords": {}
+    },
+    {
+      "index": 5793,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5793.png",
+      "answer": "1",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5794,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5794.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;A: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (7/2, 4);PointOnCurve(P, G);Distance(P, yAxis) = d1;Distance(P, A) = d2;d1:Number;d2:Number",
+      "coords": {
+        "A": [
+          3.5,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5795,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5795.png",
+      "answer": "0",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;Focus(C) = {F1,F2};M: Point;PointOnCurve(M,C);I: Point;Incenter(TriangleOf(M,F1,F2)) = I;YCoordinate(I) = 2-sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5796.png",
+      "answer": "[\\pi/4, 3\\pi/4]",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, F))*Abs(LineSegmentOf(B, F)) <= 32",
+      "coords": {}
+    },
+    {
+      "index": 5797,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5797.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;G: Line;A: Point;D: Point;B: Point;F: Point;l: Line;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Directrix(C) = l;Intersection(G, l) = D;MidPoint(LineSegmentOf(A, D)) = B;IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {}
+    },
+    {
+      "index": 5798,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5798.png",
+      "answer": "16",
+      "fact_expr": "C: Ellipse;M: Point;F1: Point;F2: Point;Expression(C) = (x^2/16 + y^2/9 = 1);Focus(C) = {F1, F2};PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 5799,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5799.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;H: Point;F: Point;M: Point;N: Point;Expression(C) = (y^2 = 4*x);Coordinate(H) = (-2, 0);Focus(C)=F;PointOnCurve(H, G);Slope(G) = 2/3;Intersection(G, C) = {M, N}",
+      "coords": {
+        "H": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5800,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5801,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5802,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5802.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5803,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5803.png",
+      "answer": "x-y-5=0",
+      "fact_expr": "G: Hyperbola;H: Line;A: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (4, -1);PointOnCurve(A,H);PointOnCurve(RightFocus(G),H)",
+      "coords": {
+        "A": [
+          4.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 5804,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5804.png",
+      "answer": "x^2-4*y+4=0",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y = x^2/8);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5805,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5805.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;A: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0, 1);Coordinate(F1) = (2*sqrt(2), 0);RightFocus(G) = F1;PointOnCurve(P, LeftPart(G));Min(Perimeter(TriangleOf(A, P, F1))) = 8",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ],
+        "F1": [
+          2.8284271247461903,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5806,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5807,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5807.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F2: Point;F1: Point;Focus(G) = {F1,F2};L: Line;PointOnCurve(F1,L) = True;Intersection(L,G) = {P,Q};P: Point;Q: Point",
+      "coords": {}
+    },
+    {
+      "index": 5808,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5809,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5809.png",
+      "answer": "x^2 = 2*y - 1",
+      "fact_expr": "C: Parabola;F: Point;Coordinate(F) = (0, 1);Focus(C) = F;Directrix(C) = xAxis",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5810,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5810.png",
+      "answer": "-1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(C) = sqrt(3)/3;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point;M: Point;Coordinate(M) = (3, 2);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5811,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5811.png",
+      "answer": "(0, 2]+[8, +\\infty)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);m: Number;Eccentricity(G) = e;In(e, [sqrt(2)/2, 1));e: Number",
+      "coords": {}
+    },
+    {
+      "index": 5812,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5812.png",
+      "answer": "{1,-1}",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/4 + y^2/a^2 = 1);G: Hyperbola;Expression(G) = (-y^2/2 + x^2/a^2 = 1);a: Number;Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5813,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5814,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5814.png",
+      "answer": "(x-2)^2+y^2=4",
+      "fact_expr": "G: Circle;A: Point;P: Point;M: Point;Expression(G) = (x^2 + y^2 = 9);Coordinate(A) = (6, 0);PointOnCurve(M, G);VectorOf(A, P) = 2*VectorOf(P, M)",
+      "coords": {}
+    },
+    {
+      "index": 5815,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5815.png",
+      "answer": "(0,\\sqrt{6})",
+      "fact_expr": "l: Line;G: Hyperbola;F1: Point;P: Point;Q: Point;F2: Point;Expression(G) = (x^2/2 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);Slope(l) = k;k:Number;k<-1;Intersection(l, RightPart(G)) = {P, Q};Area(TriangleOf(F1, P, Q)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5816,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.9902384281158447,
+        "b": 1.827926735623088,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.2790036214234405e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/ellipse/problem_5816.png",
+      "answer": "(\\sqrt{5}, +\\infty)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (2, 1);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 5817,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5817.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);H: Circle;IsDiameter(MinorAxis(G), H);IsTangent(LineSegmentOf(P, F1), H);TangentPoint(LineSegmentOf(P, F1), H) = MidPoint(LineSegmentOf(P, F1))",
+      "coords": {}
+    },
+    {
+      "index": 5818,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5818.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (3*x^2 - 5*y^2 = 15);PointOnCurve(P, G);Focus(G) = {F1, F2};Area(TriangleOf(F1, P, F2)) = 3*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 5819,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5819.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5820,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5820.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Point;Coordinate(H) = (p/2, 1);PointOnCurve(H, G);K: Point;PointOnCurve(K, G);YCoordinate(K) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5821,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5821.png",
+      "answer": "(\\sqrt{6}, 4)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;P: Point;c: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);RightFocus(C) = F2;LeftFocus(C) = F1;Expression(Asymptote(C)) = (y = pm*(2*x));FocalLength(C) = 2*sqrt(10);PointOnCurve(P, C);Quadrant(P) = 1;Area(TriangleOf(P, F1, F2)) = 4*sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 5822,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5823,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5823.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;M: Point;O: Origin;A: Point;B: Point;F: Point;t:Number;Expression(G) = (y^2 = 4*x);Coordinate(M) = (t, 2);Quadrant(M) = 1;Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};VectorOf(O, M) = (VectorOf(O, A) + VectorOf(O, B))/2",
+      "coords": {}
+    },
+    {
+      "index": 5824,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5824.png",
+      "answer": "(1,2)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + (y + 2)^2 = 1);NumIntersection(Asymptote(G), H) = 0",
+      "coords": {}
+    },
+    {
+      "index": 5825,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5825.png",
+      "answer": "3",
+      "fact_expr": "G: Curve;B: Point;A: Point;C: Point;a:Number;b:Number;Expression(G) = (x^2 = 4*y);Coordinate(C) = (-1, -1);L1:Line;L2:Line;TangentOfPoint(C,G)={L1,L2};TangentPoint(L1,G)=A;TangentPoint(L2,G)=B;Expression(LineOf(A,B)) = (y/b + x/a = 1)",
+      "coords": {
+        "C": [
+          -1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 5826,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5826.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (-1, 0);Coordinate(B) = (1, 0);PointOnCurve(P,G);Abs(LineSegmentOf(P,A))=m*Abs(LineSegmentOf(P,B));m:Number",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ],
+        "B": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5827,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5828,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5829,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5830.png",
+      "answer": "-2",
+      "fact_expr": "G: Hyperbola;P: Point;A1: Point;F2: Point;Expression(G) = (x^2 - y^2/3 = 1);LeftVertex(G) = A1;RightFocus(G)=F2;PointOnCurve(P,RightPart(G))",
+      "coords": {}
+    },
+    {
+      "index": 5831,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5832,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5832.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/6 + y^2/2 = 1);Focus(G) = LeftFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5833,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5833.png",
+      "answer": "m-a",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;m: Number;n: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b + x^2/a = 1);m > n;n > 0;Expression(H) = (y^2/n + x^2/m = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};Intersection(H,G)=P",
+      "coords": {}
+    },
+    {
+      "index": 5834,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5834.png",
+      "answer": "{y^2=-8*x,x^2=8*y}",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;Expression(H) = (x - y + 2 = 0);Vertex(G) = O;SymmetryAxis(G)=axis;PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 5835,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5836,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5836.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Ellipse;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F2, G);A: Point;B: Point;Intersection(G, C) = {A, B};AngleOf(A, F1, B) = ApplyUnit(90, degree);M: Circle;IsTangent(M, OverlappingLine(LineSegmentOf(F1, A)));IsTangent(M, OverlappingLine(LineSegmentOf(F1, B)));IsTangent(M, LineOf(A, B));Expression(C)=(x^2/2+y^2=1)",
+      "coords": {}
+    },
+    {
+      "index": 5837,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5838,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5838.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Focus(G) = {F1, F2};Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5839,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5839.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;Q: Point;R: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (y^2 + (x + 1)^2 = 1);Expression(C) = ((x-1)^2+y^2=1);PointOnCurve(P,G);PointOnCurve(Q,H);PointOnCurve(R,C)",
+      "coords": {}
+    },
+    {
+      "index": 5840,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5841,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5841.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;e: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (2*x + y + 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 5842,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5842.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;H: Ellipse;F1: Point;F2: Point;Expression(G) = (x^2/3 - y^2/b^2 = 1);Expression(H) = (x^2/6 + y^2/2 = 1);Focus(H) = {F1, F2};Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 5843,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5843.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;A: Point;Coordinate(A) = (3, y0);y0: Number;PointOnCurve(A, G);L: Line;PointOnCurve(A, L);IsPerpendicular(L, l);FootPoint(L, l) = B;B: Point;C: Point;Coordinate(C) = ((7/2)*p, 0);Intersection(LineSegmentOf(A, F), LineSegmentOf(B, C)) = E;E: Point;Abs(LineSegmentOf(F, E)) = 2*Abs(LineSegmentOf(A, E))",
+      "coords": {}
+    },
+    {
+      "index": 5844,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5844.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;F2: Point;P: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(F1, F2), G);OneOf(Intersection(G,Asymptote(C)))=P;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 5845,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 5.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5845.png",
+      "answer": "8",
+      "fact_expr": "E: Hyperbola;Expression(E) = (25*x^2 - 16*y^2 = 400)",
+      "coords": {}
+    },
+    {
+      "index": 5846,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5846.png",
+      "answer": "9",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;E: Circle;M: Point;N: Point;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(E) = (x^2 + (y + sqrt(6))^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;Length(RealAxis(C)) = 6;Expression(Asymptote(C)) = (y = pm*(x/3));PointOnCurve(M, LeftPart(C));PointOnCurve(N, E)",
+      "coords": {}
+    },
+    {
+      "index": 5847,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5847.png",
+      "answer": "{(2*x - 3*y = 0), (2*x + 3*y = 0)}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5848,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5849,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5849.png",
+      "answer": "5*sqrt(3)",
+      "fact_expr": "G: Parabola;M: Point;P: Point;Expression(G) = (y^2 = 10*x);Coordinate(M) = (10, 0);PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          10.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5850,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_5850.png",
+      "answer": "y=pm*(1/2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 5851,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5851.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) ={F1,F2} ;PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 5852,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5852.png",
+      "answer": "12+8*sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;A: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 - y^2/b = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, C);IsPerpendicular(LineSegmentOf(A, F1), LineSegmentOf(A, F2));AngleOf(A, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 5853,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5853.png",
+      "answer": "32/5",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Distance(P, RightFocus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 5854,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5854.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;P: Point;E: Point;M: Point;F: Point;Q: Point;Expression(C) = (x^2 = 8*y);Coordinate(P) = (0, -1);Coordinate(E) = (3, 0);Focus(C) = F;PointOnCurve(P,l);Slope(l) = k;Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B))=Q;Distance(Q, xAxis) = 3;PointOnCurve(M, l);k:Number;k>0",
+      "coords": {
+        "P": [
+          0.0,
+          -1.0
+        ],
+        "E": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5855,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5856,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5856.png",
+      "answer": "y^2=-8*x",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);Focus(H) = LeftFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5857,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5858,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5858.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;A: Point;F: Point;B: Point;p>0;Coordinate(A) = (0, 2);Focus(C) = F;PointOnCurve(B, C);MidPoint(LineSegmentOf(A,F))=B",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5859,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5859.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(A, C);PointOnCurve(B, C);Abs(LineSegmentOf(A, F)) = 2;Abs(LineSegmentOf(B, F)) = 6;IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {}
+    },
+    {
+      "index": 5860,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5861,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5861.png",
+      "answer": "y^2/64 - x^2/36 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;A: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (6, 8*sqrt(2));Asymptote(G) = Asymptote(C);PointOnCurve(A, C)",
+      "coords": {
+        "A": [
+          6.0,
+          11.313708498984761
+        ]
+      }
+    },
+    {
+      "index": 5862,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5862.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;b: Number;H: Point;Expression(G) = (x^2/4 - y^2/b^2 = 1);Coordinate(H) = (4, 0);RightFocus(G) = H",
+      "coords": {
+        "H": [
+          4.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5863,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5864,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5864.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C1: Parabola;Expression(C1) = (x^2 = 2*p*y);p: Real;p>0;C2: Hyperbola;Expression(C2) = (y^2/9 - x^2/16 = 1);Distance(Focus(C1), Asymptote(C2)) = sqrt(5)/5",
+      "coords": {}
+    },
+    {
+      "index": 5865,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5865.png",
+      "answer": "(12 - sqrt(41))/5",
+      "fact_expr": "C: Ellipse;G: Line;P: Point;Expression(C) = (x^2/2 + y^2 = 1);Expression(G) = (x/3 + y/4 = 1);PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 5866,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5866.png",
+      "answer": "(1/2, pm*sqrt(2))",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;F: Point;Coordinate(F) = (1, 0);Focus(G) = F;H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;P: Point;Z: Line;PointOnCurve(M, Z);IsPerpendicular(Z, Directrix(G));Intersection(Z, G) = P;Abs(LineSegmentOf(A, B)) = 6",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5867,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5867.png",
+      "answer": "1/2",
+      "fact_expr": "G: Hyperbola;P: Point;F: Point;O: Origin;M: Point;Expression(G) = (x^2 - y^2/4 = 1);RightFocus(G) = F;H:Line;PointOnCurve(F,H);IsParallel(H,OneOf(Asymptote(G)));Intersection(H,G)=P;PointOnCurve(M,LineOf(P,F));DotProduct(VectorOf(O, M), VectorOf(P, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 5868,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5869,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5869.png",
+      "answer": "x-2*y-4=0",
+      "fact_expr": "G: Ellipse;M:Point;A: Point;B: Point;Expression(G) = (x^2/16 + y^2/4 = 1);Coordinate(M) = (2, 1);MidPoint(LineSegmentOf(A,B))=M;IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5870,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5870.png",
+      "answer": "pm*2*sqrt(2)/3",
+      "fact_expr": "G: Parabola;H: Line;F: Point;A: Point;B: Point;k:Number;Expression(G) = (y^2 = 8*x);k>0;Expression(H) = (y = k*(x + 2));Intersection(H, G) = {A, B};Focus(G) = F;LineSegmentOf(F, A) = 2*LineSegmentOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 5871,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5871.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;M: Point;N: Point;Expression(C) = (x^2/9 + y^2/16 = 1);PointOnCurve(P, C);Expression(l)=(x-y+1=0);Intersection(l,xAxis)=M;Intersection(l,yAxis)=N",
+      "coords": {}
+    },
+    {
+      "index": 5872,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5872.png",
+      "answer": "(-3*sqrt(2),3*sqrt(2))",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;m: Real;Expression(C) = (x^2/4 + y^2/9 = 1);Expression(l)=(y = m + (3/2)*x);Intersection(C, l) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5873,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5873.png",
+      "answer": "(\\sqrt{7}-2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;P:Point;e:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);XCoordinate(P)=a/3;Distance(P,LeftFocus(G))>Distance(P,RightDirectrix(G));Eccentricity(G)=e;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5874,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5874.png",
+      "answer": "{2, 22}",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 - y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P,F1))=12",
+      "coords": {}
+    },
+    {
+      "index": 5875,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 5876,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5877,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5878,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5879,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 5880,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5880.png",
+      "answer": "y=pm*(2/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-x^2/9 + y^2/a^2 = 1);Coordinate(OneOf(Focus(G))) = (0, sqrt(13))",
+      "coords": {}
+    },
+    {
+      "index": 5881,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5882,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5882.png",
+      "answer": "4*sqrt(13)/13",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};OneOf(Intersection(G,H))=P;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 5883,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5883.png",
+      "answer": "0",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;F:Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, Directrix(G));IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F,LineSegmentOf(A,B));Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 5884,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5884.png",
+      "answer": "x-y-1=0",
+      "fact_expr": "l: Line;C: Parabola;M: Point;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (-1, 2);Focus(C)=F;PointOnCurve(F, l);Intersection(l, C) = {A, B};AngleOf(A, M, B) = ApplyUnit(90, degree)",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5885,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5885.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;H: Circle;Expression(H) = (x^2 + y^2 = a^2 + b^2);L:Line;P: Point;A: Point;B: Point;a > b;b > 0;PointOnCurve(P, G);Intersection(L,H)={A,B};Abs(LineSegmentOf(P, A))*Abs(LineSegmentOf(P, B)) = (a^2 - b^2);PointOnCurve(P,L)",
+      "coords": {}
+    },
+    {
+      "index": 5886,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5886.png",
+      "answer": "24",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;F1: Point;B: Point;F2: Point;Expression(G) = (x^2/36 + y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5887,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5887.png",
+      "answer": "(\\sqrt{5}/2,+\\infty)",
+      "fact_expr": "H: Line;Expression(H) = (y = x/2);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;NumIntersection(H, G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5888,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5888.png",
+      "answer": "y=pm*((sqrt(3)/2)*x)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5889,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5889.png",
+      "answer": "3/4",
+      "fact_expr": "C: Ellipse;A: Point;F1: Point;F2: Point;O: Origin;B: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(A, C);IsPerpendicular(LineSegmentOf(A, F2), LineSegmentOf(F1, F2));Intersection(LineSegmentOf(A, F1), yAxis) = B",
+      "coords": {}
+    },
+    {
+      "index": 5890,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5890.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;M: Point;x1:Number;x2:Number;y1:Number;y2:Number;Expression(G) = (y^2 = 8*x);PointOnCurve(Focus(G),H);Coordinate(A)=(x1,y1);Coordinate(B)=(x2,y2);Intersection(H, G) = {A,B};x1+x2=6;MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 5891,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5891.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Circle;F: Point;P: Point;M: Point;N: Point;O: Origin;Expression(G) = (x^2/16 - y^2/9 = 1);Expression(H) = (x^2 + y^2 = 16);LeftFocus(G) = F;PointOnCurve(P, RightPart(G));TangentPoint(LineSegmentOf(P,F),H)=N;MidPoint(LineSegmentOf(P,F))=M",
+      "coords": {}
+    },
+    {
+      "index": 5892,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5893,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5894,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5894.png",
+      "answer": "(1,-1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (3, -1);WhenMin(Distance(P, A) + Distance(P, Focus(G)))",
+      "coords": {
+        "A": [
+          3.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 5895,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5895.png",
+      "answer": "10",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/9 + y^2/5 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 5896,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5896.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "C: Parabola;G: Line;M: Point;A: Point;B: Point;l: Line;k: Number;Expression(C) = (y^2 = 4*x);Coordinate(M) = (1, 0);Directrix(C) = l;PointOnCurve(M,G);Slope(G)=k;Intersection(l,G)=A;OneOf(Intersection(G, C)) = B;VectorOf(A, M) = 2*VectorOf(M, B)",
+      "coords": {
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 5897,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5897.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/9 + y^2/4 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 5898,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5898.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/3 + y^2/6 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5899,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5899.png",
+      "answer": "2*x^2-2*y^2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;O: Origin;Expression(H) = (x^2/2 + y^2 = 1);Center(G) = O;Focus(G) = Focus(H);InterReciprocal(Eccentricity(G), Eccentricity(H))",
+      "coords": {}
+    },
+    {
+      "index": 5900,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5901,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5902,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5902.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;F2: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Focus(G)={F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F2)) - Abs(LineSegmentOf(B, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5903,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5903.png",
+      "answer": "24",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Hyperbola;Expression(G) = (x^2 - y^2/24 = 1);P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 14",
+      "coords": {}
+    },
+    {
+      "index": 5904,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5904.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;P: Point;PointOnCurve(P, G);A: Point;IsPerpendicular(LineSegmentOf(P, A), l);FootPoint(LineSegmentOf(P, A), l) = A;Slope(LineOf(A, F)) = -sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5905,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5905.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(G) = F;H: Circle;Expression(H) = (x^2 + y^2 = a^2);Z: Line;TangentOfPoint(F, H) = Z;E: Point;TangentPoint(Z, H) = E;P: Point;Intersection(OverlappingLine(LineSegmentOf(F, E)), G) = P;O: Origin;VectorOf(O, E) = (1/2)*(VectorOf(O, F) + VectorOf(O, P))",
+      "coords": {}
+    },
+    {
+      "index": 5906,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5907,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5908,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5908.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;P: Point;F1:Point;F2:Point;Expression(G) = (-x^2/16 + y^2/64 = 1);PointOnCurve(P, G);OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P,F1) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5909,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5909.png",
+      "answer": "3/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/b^2 = 1);b: Number;0 < b;b < 2;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 3;AngleOf(F1, P, F2) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 5910,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5910.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;UpperFocus(C) = F1;LowerFocus(C) = F2;B1: Point;B2: Point;LeftVertex(C) = B1;RightVertex(C) = B2;P: Point;PointOnCurve(P, C) ;VectorOf(F2, P) = VectorOf(F1, B1)/2",
+      "coords": {}
+    },
+    {
+      "index": 5911,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5912,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5912.png",
+      "answer": "5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};M: Point;Coordinate(M) = (-1, 1);IsPerpendicular(LineSegmentOf(M, A), LineSegmentOf(M, B));IsChordOf(LineSegmentOf(A, B), C)",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5913,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5913.png",
+      "answer": "Answer missing",
+      "fact_expr": "l: Line;G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};I: Point;Coordinate(I) = (4, 2);MidPoint(LineSegmentOf(A, B)) = I",
+      "coords": {
+        "I": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5914,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5914.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;l1:Line;l2:Line;P:Point;Expression(G) = (y^2 = 4*x);Expression(l1)=(4*x-3*y+11=0);Expression(l2)=(x=-1);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5915,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5915.png",
+      "answer": "x^2=8*y",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*(p*y));p: Number;p>0;P: Point;PointOnCurve(P, C);Distance(P, Focus(C)) = 8;Distance(P, xAxis) = 6",
+      "coords": {}
+    },
+    {
+      "index": 5916,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5916.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Q:Point;Expression(G) = (y^2 = 4*x);Expression(H) = ((x + 3)^2 + (y - 3)^2 = 1);PointOnCurve(P, G);Distance(P,Directrix(G)) = d1;PointOnCurve(Q, H);Distance(P,Q)=d2;d1:Number;d2:Number",
+      "coords": {}
+    },
+    {
+      "index": 5917,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5918,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5918.png",
+      "answer": "y^2/8 - x^2/4 = 1",
+      "fact_expr": "C: Hyperbola;G: Point;C1:Hyperbola;Expression(C) = (x^2/4 - y^2/8 = 1);Coordinate(G) = (2, 4);PointOnCurve(G, C1);Asymptote(C1)=Asymptote(C)",
+      "coords": {
+        "G": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 5919,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5919.png",
+      "answer": "5+sqrt(2)",
+      "fact_expr": "N: Parabola;A: Point;B: Point;P: Point;Expression(N) = (x^2 = 8*y);Coordinate(A) = (-1, 3);Coordinate(B) = (0, 2);PointOnCurve(P, N)",
+      "coords": {
+        "A": [
+          -1.0,
+          3.0
+        ],
+        "B": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5920,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5920.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;l1: Line;F: Point;l2: Line;A: Point;Expression(C) = (x^2 = 4*y);Expression(l1)=(sqrt(3)*x + y + 5 = 0);Focus(C) = F;Directrix(C) = l2;PointOnCurve(A, C);d1:Number;d2:Number;Distance(A,l1)=d1;Distance(A,l2)=d2",
+      "coords": {}
+    },
+    {
+      "index": 5921,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5921.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Line;Expression(G) = (y = k*x + m);k: Number;k>0;m: Number;C: Parabola;Expression(C) = (y^2 = 4*x);M: Point;Intersection(G, C) = M;N: Point;Intersection(G, Directrix(C)) = N;F: Point;Focus(C) = F;3*VectorOf(F, M) = VectorOf(M, N)",
+      "coords": {}
+    },
+    {
+      "index": 5922,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5923,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5923.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;A: Point;F1: Point;F2: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, l);Intersection(l, RightPart(C)) = {A, B};Radius(InscribedCircle(TriangleOf(A,F1,F2)))=r1;Radius(InscribedCircle(TriangleOf(B,F1,F2)))=r2;r1:Number;r2:Number;r1 = 2*r2",
+      "coords": {}
+    },
+    {
+      "index": 5924,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5925,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5925.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;A: Point;B: Point;Quadrant(A) = 1;Quadrant(B) = 1;PointOnCurve(A, C);PointOnCurve(B, C);O: Origin;AngleOf(A, F, O) = AngleOf(A, F, B);AngleOf(A, F, B) = pi/3;Abs(LineSegmentOf(A, B)) = 2*sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 5926,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5927,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5927.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;Expression(C) = (y^2 = x);Intersection(l, C) = {A, B};A: Point;B: Point;l1: Line;Expression(l1) = (y = 1);PointOnCurve(MidPoint(LineSegmentOf(A,B)),l1) = True;DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 5928,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5928.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;Expression(G) = (x^2/4 - y^2/5 = 1);PointOnCurve(A, RightPart(G));PointOnCurve(B, RightPart(G));Distance(MidPoint(LineSegmentOf(A,B)),yAxis)=4",
+      "coords": {}
+    },
+    {
+      "index": 5929,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5929.png",
+      "answer": "(\\sqrt{2}-1,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;Abs(LineSegmentOf(P,F1))=e*Abs(LineSegmentOf(P,F2));Eccentricity(G) = e;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 5930,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5930.png",
+      "answer": "8*sqrt(3)/5",
+      "fact_expr": "l: Line;C: Ellipse;a: Number;F: Point;A: Point;M: Point;a>sqrt(3);Expression(C) = (y^2/3 + x^2/a^2 = 1);LowerVertex(C) = A;LeftFocus(C) = F;PointOnCurve(A, l);Inclination(l) = ApplyUnit(60, degree);Intersection(l, C) = M;Negation(M=A);Perimeter(TriangleOf(F, A, M)) = 4*a",
+      "coords": {}
+    },
+    {
+      "index": 5931,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5931.png",
+      "answer": "pm*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, C) = {A, B};A1: Point;B1: Point;Projection(A, yAxis) = A1;Projection(B, yAxis) = B1;Abs(LineSegmentOf(A, B)) = (3/2)*(Abs(LineSegmentOf(A, A1)) + Abs(LineSegmentOf(B, B1)))",
+      "coords": {}
+    },
+    {
+      "index": 5932,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5933,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5934,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5935,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5936,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5936.png",
+      "answer": "2*sqrt(8-m^2)",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/8 + y^2/m^2 = 1);PointOnCurve(Focus(G), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5937,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_5937.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = 2;G: Ellipse;Expression(G) = (x^2/5 + y^2 = 1);Focus(C) = Focus(G);P: Point;PointOnCurve(P, C);Z1: Line;Z2: Line;L1: Line;L2: Line;Asymptote(C) = {L1, L2};PointOnCurve(P, Z1);PointOnCurve(P, Z2);IsPerpendicular(Z1, L1);IsPerpendicular(Z2, L2);A: Point;B: Point;FootPoint(Z1, L1) = A;FootPoint(Z2, L2) = B",
+      "coords": {}
+    },
+    {
+      "index": 5938,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5938.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);H: Line;M: Point;m: Number;Coordinate(M) = (0, m);PointOnCurve(M, H);A: Point;B: Point;Intersection(H, G) = {A,B};x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);x1*x2 = -4",
+      "coords": {}
+    },
+    {
+      "index": 5939,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5939.png",
+      "answer": "36",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 4*x);F: Point;Focus(E) = F;l1: Line;l2: Line;PointOnCurve(F, l1) = True;PointOnCurve(F, l2) = True;IsPerpendicular(l1, l2);Intersection(l1, E) = {A, B};Intersection(l2, E) = {C, D};A: Point;B: Point;C: Point;D: Point",
+      "coords": {}
+    },
+    {
+      "index": 5940,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5940.png",
+      "answer": "a - 2*p",
+      "fact_expr": "G: Parabola;p: Number;M: Point;p>0;a: Number;a > p/2;Expression(G) = (x^2 = 2*(p*y));PointOnCurve(M, G);Distance(M, Focus(G)) = a",
+      "coords": {}
+    },
+    {
+      "index": 5941,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5942,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5942.png",
+      "answer": "(1, \\sqrt{2}]",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/4 + x^2/a^2 = 1);a: Number;a>2;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True;Gamma: Hyperbola;Expression(Gamma) = (x^2/a^2 - y^2/8 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5943,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5943.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;F1: Point;F2: Point;Focus(G) = {F1, F2};WhenMax(AngleOf(F1, P, F2));Cos(AngleOf(F1, P, F2)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 5944,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5944.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2 + y^2/m = 1);PointOnCurve(Focus(G), xAxis);FocalLength(G)=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 5945,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5945.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;O: Origin;m:Number;Expression(C) = (y^2 = 2*x);Focus(C) = F;Expression(l)=(y=m*(2*x-1));Intersection(l, C) = {A, B};Quadrant(A)=1;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 5946,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5946.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "M: Point;Coordinate(M) = (-2, -3);C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Coordinate(F) = (2, 0);Focus(C) = F;P: Point;Quadrant(P) = 1;PointOnCurve(P, C)",
+      "coords": {
+        "M": [
+          -2.0,
+          -3.0
+        ],
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 5947,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5947.png",
+      "answer": "y=(pm*1/2)*x",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (-y^2 + x^2/m = 1);Expression(H) = (y^2 = 8*x);PointOnCurve(Focus(H),G)",
+      "coords": {}
+    },
+    {
+      "index": 5948,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5949,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5949.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Ellipse;O: Origin;Expression(H) = (x^2/4 + y^2/3 = 1);Vertex(G) = O;Focus(G)=OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 5950,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5950.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;a: Number;Expression(C) = (-y^2/3 + x^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (sqrt(3)*x + y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 5951,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5952,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5953,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5953.png",
+      "answer": "(0,2)",
+      "fact_expr": "G: Ellipse;a: Real;Expression(G) = (x^2/2 + y^2/a = 1);PointOnCurve(Focus(G), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5954,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5954.png",
+      "answer": "x^2/8 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/16 + y^2/6 = 1);Focus(G) = Focus(H);Expression(Asymptote(G)) = (y = pm*(x/2))",
+      "coords": {}
+    },
+    {
+      "index": 5955,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5955.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;M: Point;N: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(B, G);PointOnCurve(A, G);AngleOf(A, F, B) = pi/2;MidPoint(LineSegmentOf(A, B)) = M;Projection(M, Directrix(G)) = N;IsChordOf(LineSegmentOf(A, B),G)",
+      "coords": {}
+    },
+    {
+      "index": 5956,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5956.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;M: Point;Q: Point;A: Point;B: Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (0, b);Coordinate(Q) = (0, -b);Endpoint(MinorAxis(G)) = {P, Q};OneOf(Endpoint(MajorAxis(G))) = M;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Center(G), LineSegmentOf(A, B));Negation(OverlappingLine(LineSegmentOf(A, B), axis));Slope(LineSegmentOf(P, A))*Slope(LineSegmentOf(P, B)) = -1/4",
+      "coords": {}
+    },
+    {
+      "index": 5957,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5957.png",
+      "answer": "4*p",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};x1 + x2 = 3*p",
+      "coords": {}
+    },
+    {
+      "index": 5958,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5958.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;B: Point;M: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (2, 1);PointOnCurve(M, G);Slope(G) = -1/2;Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 5959,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5959.png",
+      "answer": "y=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y)",
+      "coords": {}
+    },
+    {
+      "index": 5960,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5960.png",
+      "answer": "y^2 - x^2/3 = 1",
+      "fact_expr": "C: Hyperbola;G: Parabola;Expression(G) = (x^2 = 8*y);Eccentricity(C) = 2;OneOf(Focus(C)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 5961,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5961.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Line;A: Point;B: Point;M:Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(Focus(C), H);Slope(H) = 2;Intersection(H, C) = {A, B};IsDiameter(LineSegmentOf(A,B),G);Intersection(Directrix(C),G)=M;YCoordinate(M) = 2",
+      "coords": {}
+    },
+    {
+      "index": 5962,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5962.png",
+      "answer": "ApplyUnit(120,degree)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 5963,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5963.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;y0: Number;Coordinate(P) = (4, y0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 5964,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5964.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;M: Point;O: Origin;F: Point;p>0;y0:Number;Expression(C) = (x^2 = 2*p*y);Coordinate(M) = (2,y0);Focus(C) = F;PointOnCurve(M,C);Abs(LineSegmentOf(M,O))=Abs(LineSegmentOf(M,F))",
+      "coords": {}
+    },
+    {
+      "index": 5965,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5966,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5966.png",
+      "answer": "5/6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;Z: Line;PointOnCurve(F, Z);A: Point;B: Point;Intersection(Z, G) = {A, B};Abs(LineSegmentOf(A, B)) = 25/12;Abs(LineSegmentOf(A, F))<Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 5967,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5967.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(H) = (y^2 = 12*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5968,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5968.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;l1: Line;l2:Line;Expression(G) = (y^2 = 4*x);Coordinate(M) = (-1, 2);TangentOfPoint(M,G)={l1,l2};TangentPoint(l1,G)=A;TangentPoint(l2,G)=B",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 5969,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5969.png",
+      "answer": "-sqrt(11)/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F1: Point;D: Point;F2: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;UpperVertex(G) = D;AngleOf(F1, D, F2) = ApplyUnit(120, degree);PointOnCurve(B, C);PointOnCurve(A, C);Quadrant(A) = 1;Quadrant(B) = 1;Abs(LineSegmentOf(A, F2)) = 2;Abs(LineSegmentOf(B, F2)) = 4;Abs(LineSegmentOf(A, B)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5970,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5970.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;M: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1,H);Inclination(H)=ApplyUnit(45,degree);OneOf(Intersection(H,G))=M;IsPerpendicular(LineSegmentOf(M,F2),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 5971,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5972,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5972.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;H: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = 2*x);Coordinate(H) = (a, b);PointOnCurve(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 5973,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_5973.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;a: Number;Expression(C) = (y^2 = a*x);Expression(Directrix(C)) = (x = -1)",
+      "coords": {}
+    },
+    {
+      "index": 5974,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5974.png",
+      "answer": "{sqrt(10), sqrt(10)/3}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;RightVertex(G) = A;m: Line;Slope(m) = 1;PointOnCurve(A, m);Z1: Line;Z2: Line;Asymptote(G) = {Z1, Z2};B: Point;Intersection(m, Z1) = B;C: Point;Intersection(m, Z2) = C;Abs(LineSegmentOf(A, B)) = 2*Abs(LineSegmentOf(A, C))",
+      "coords": {}
+    },
+    {
+      "index": 5975,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5975.png",
+      "answer": "10/3",
+      "fact_expr": "F: Point;G: Parabola;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);l: Line;Intersection(l, G) = {A, B};A: Point;B: Point;O: Origin;Abs(LineSegmentOf(A, F)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 5976,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5976.png",
+      "answer": "(-1, 1)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 1);k: Number;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);NumIntersection(H, LeftPart(G)) = 1;NumIntersection(H, RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 5977,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5978,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_5978.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;O: Origin;B: Point;Expression(C) = (y = x^2/4);Focus(C) = F;PointOnCurve(F,l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 5979,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5980,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 7.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5980.png",
+      "answer": "-1/2",
+      "fact_expr": "G: Parabola;m: Number;H: Ellipse;Expression(G) = (y^2 = (4/m)*x);Expression(H) = (x^2/7 + y^2/3 = 1);Focus(G) = LeftFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 5981,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5982,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.1278254985809326,
+        "b": 1.8086377171290415,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.482879284737182e-05,
+        "converged": true,
+        "iterations": 79
+      },
+      "output_path": "results/train/ellipse/problem_5982.png",
+      "answer": "x^2/8+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (sqrt(2), sqrt(3));FocalLength(G) = 4;PointOnCurve(A,G)",
+      "coords": {
+        "A": [
+          1.4142135623730951,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 5983,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5984,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5984.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = (2*sqrt(3))/3;FocalLength(G) = 2*c;c: Number;2*a^2 = 3*c;P: Point;PointOnCurve(P,G) = True;DotProduct(VectorOf(P,F1), VectorOf(P,F2)) = 2;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 5985,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5985.png",
+      "answer": "(2/7)*sqrt(21)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;F1: Point;P: Point;F2: Point;a>0;b>0;R: Number;r: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1, P, F2) = pi/3;R = 4*r;Radius(CircumCircle(TriangleOf(F1, P, F2))) = R;Radius(InscribedCircle(TriangleOf(F1, P, F2))) = r",
+      "coords": {}
+    },
+    {
+      "index": 5986,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          5.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_5986.png",
+      "answer": "10",
+      "fact_expr": "C1: Curve;C2: Curve;C3: Curve;P: Point;Q: Point;R: Point;Expression(C1) = (x^2/16-y^2/9=1);Expression(C2) = ((x-5)^2+y^2=1);Expression(C3) = ((x+5)^2+y^2=1);PointOnCurve(P,C1);PointOnCurve(Q,C2);PointOnCurve(R,C3)",
+      "coords": {}
+    },
+    {
+      "index": 5987,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5987.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5988,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5988.png",
+      "answer": "y^2/4 - x^2/12 = 1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/9 + y^2/25 = 1);Focus(C) = Focus(G);Eccentricity(C)+Eccentricity(G)=14/5",
+      "coords": {}
+    },
+    {
+      "index": 5989,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5989.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5990,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5991,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5991.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/25 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 5992,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5993,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_5993.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (2, 3);PointOnCurve(G, C);FocalLength(C) = 4",
+      "coords": {
+        "G": [
+          2.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 5994,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5995,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5996,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_5996.png",
+      "answer": "-32",
+      "fact_expr": "G: Hyperbola;k: Number;Expression(G) = (x^2/4 + y^2/k = 1);Eccentricity(G) = e;e:Number;e = 3",
+      "coords": {}
+    },
+    {
+      "index": 5997,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_5997.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Ellipse;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a > b;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Eccentricity(H) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 5998,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 5999,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_5999.png",
+      "answer": "(\\sqrt{3}+1)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(P,F1,F2)=AngleOf(F1,P,F2);AngleOf(F1,P,F2)=ApplyUnit(30,degree)",
+      "coords": {}
+    },
+    {
+      "index": 6000,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6001,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6002,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6002.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6003,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_focus_mismatch",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6003.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Coordinate(F) = (2, 0);Focus(C) = F",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6004,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6004.png",
+      "answer": "(2+sqrt(3))/2",
+      "fact_expr": "G: Line;C: Curve;A: Point;B:Point;F: Point;Expression(C) = (y = 2*x^2);Inclination(G)=ApplyUnit(60,degree);PointOnCurve(F,G);Intersection(G,C)={A,B};Negation(A=B);Quadrant(A)=1;Focus(C)=F",
+      "coords": {}
+    },
+    {
+      "index": 6005,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6006,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6006.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Real;Expression(G) = (x^2/4 - y^2/5 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6007,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6007.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C: Parabola;M: Point;N: Point;P: Point;Expression(C) = (y^2 = 4*x);Coordinate(P) = (2, 1);PointOnCurve(P, l);Intersection(l, C) = {M, N};MidPoint(LineSegmentOf(M, N)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6008,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6008.png",
+      "answer": "{pm*(sqrt(5)/2),pm*1}",
+      "fact_expr": "G: Hyperbola;H: Line;k: Number;Expression(G) = (x^2-y^2=4);Expression(H) = (y=k*x - 1);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6009,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6009.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2)",
+      "coords": {}
+    },
+    {
+      "index": 6010,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6010.png",
+      "answer": "x + pm*y = 0",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;H: Line;PointOnCurve(F,H) = True;IsPerpendicular(H,xAxis) = True;Intersection(H,C) = {A,B};A: Point;B: Point;IsDiameter(LineSegmentOf(A,B),G) = True;G: Circle;IsTangent(G,Asymptote(C)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6011,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6012,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6012.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C) = F;P: Point;Coordinate(P) = (2, m);m: Number;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6013,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6013.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(Focus(G)) = (3, 0)",
+      "coords": {}
+    },
+    {
+      "index": 6014,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6014.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;Coordinate(F) = (2, 0);RightFocus(C) = F;PointOnCurve(F, H);IsPerpendicular(H, Asymptote(C));H: Line;G: Circle;Expression(G) = (4*x + x^2 + y^2 = 0);IsTangent(H, G)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6015,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6015.png",
+      "answer": "y^2/16 - x^2/9 = 1",
+      "fact_expr": "G1: Hyperbola;Expression(G1) = (x^2/9 - y^2/16 = 1);G2: Hyperbola;Asymptote(G1) = Asymptote(G2);A: Point;Coordinate(A) = (-3, 4*sqrt(2));PointOnCurve(A, G2) = True",
+      "coords": {
+        "A": [
+          -3.0,
+          5.656854249492381
+        ]
+      }
+    },
+    {
+      "index": 6016,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6016.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;O: Origin;D: Point;E: Point;a>0;b>0;L1:Line;L2:Line;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x = a);Asymptote(C)={L1,L2};Intersection(G,L1)=D;Intersection(G,L2)=E;Area(TriangleOf(O, D, E)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 6017,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6017.png",
+      "answer": "1",
+      "fact_expr": "A: Point;B: Point;G: Hyperbola;H: Parabola;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y^2 = 4*x);l:Line;Directrix(H)=l;L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(L1,l)=A;Intersection(L2,l)=B",
+      "coords": {}
+    },
+    {
+      "index": 6018,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6018.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 6019,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6019.png",
+      "answer": "4*x-y-7=0",
+      "fact_expr": "l: Line;G: Hyperbola;A: Point;B: Point;M: Point;Expression(G) = (x^2 - y^2/2 = 1);Coordinate(M) = (2, 1);PointOnCurve(M, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6020,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6021,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.872983346207417,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 15.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6021.png",
+      "answer": "x^2/10 - y^2/15 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/25 + y^2/15 = 1);Vertex(H)=Focus(G);Focus(H)=Vertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 6022,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -2.0,
+          1.0
+        ],
+        "radius": 2.23606797749979
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6022.png",
+      "answer": "x^2/12+y^2/3=1",
+      "fact_expr": "Gamma:Ellipse;C: Circle;A: Point;B: Point;b:Number;Expression(Gamma) = (x^2+4*y^2=4*b^2);Expression(C) = ((x + 2)^2 + (y - 1)^2 = 5/2);Intersection(Gamma, C)={A,B};IsDiameter(LineSegmentOf(A, B), C)",
+      "coords": {}
+    },
+    {
+      "index": 6023,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6024,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6024.png",
+      "answer": "3/4",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/a1^2+y^2/b1^2=1);a1: Number;b1: Number;a1>b1;b1>0;F1: Point;F2: Point;C2: Hyperbola;Expression(C2) = (x^2/a2^2-y^2/b2^2=1);a2: Number;b2: Number;a2>0;b2>0;Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};M: Point;Quadrant(M) = 1;Intersection(C1, C2) = M;AngleOf(F1, M, F2) = ApplyUnit(90, degree);e1: Number;e2: Number;Eccentricity(C1) = e1;Eccentricity(C2) = e2;e2 = (3*sqrt(2))/2",
+      "coords": {}
+    },
+    {
+      "index": 6025,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6025.png",
+      "answer": "sqrt(37)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l);A: Point;B: Point;Intersection(l, RightPart(C)) = {A, B};DotProduct(VectorOf(A, B), VectorOf(A, F1)) = 0;12*Abs(VectorOf(A, B)) = 5*Abs(VectorOf(A, F1))",
+      "coords": {}
+    },
+    {
+      "index": 6026,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6026.png",
+      "answer": "4/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);Inclination(H) = pi/4;A: Point;B: Point;Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);I: Point;Coordinate(I) = (0, 2);PointOnCurve(I, PerpendicularBisector(LineSegmentOf(A, B)))",
+      "coords": {
+        "I": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6027,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6027.png",
+      "answer": "2",
+      "fact_expr": "l: Line;C:Parabola;p: Number;A: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(l) = (y = b + 2*x);PointOnCurve(Focus(C), l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, B)) = 5;b:Number",
+      "coords": {}
+    },
+    {
+      "index": 6028,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6029,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6029.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/m = 1);H: Hyperbola;Expression(H) = (-y^2 + x^2/n = 1);m: Number;n: Number;m>1;n>0;F1: Point;F2: Point;Focus(G) = {F1, F2};Focus(H) = {F1, F2};P: Point;OneOf(Intersection(G, H)) = P",
+      "coords": {}
+    },
+    {
+      "index": 6030,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6030.png",
+      "answer": "2\n4*sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6031,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6031.png",
+      "answer": "(1, 2)",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Parabola;Expression(G) = (y = 2*x^2);l: Line;Expression(l) = (4*x - y - 6 = 0);WhenMin(Distance(P, l))",
+      "coords": {}
+    },
+    {
+      "index": 6032,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6033,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6033.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;O: Origin;M: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);MidPoint(LineSegmentOf(P,F1)) = M;Abs(LineSegmentOf(O, M)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6034,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6035,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6036,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 6037,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6037.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;PointOnCurve(Focus(C), l);IsPerpendicular(l, SymmetryAxis(C));A: Point;B: Point;Intersection(l, C) = {A, B};P: Point;PointOnCurve(P, Directrix(C));Area(TriangleOf(A, B, P)) = 36;H: LineSegment;PointOnCurve(Focus(C), H);IsChordOf(H, C)",
+      "coords": {}
+    },
+    {
+      "index": 6038,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6038.png",
+      "answer": "(x-2)^2+(y-1)^2=4",
+      "fact_expr": "l: Line;C: Parabola;G: Circle;A: Point;Expression(C) = (x^2 = 4*y);Expression(l)=(y = b + x) ;TangentPoint(l,C)=A;Center(G)=A;b:Number;IsTangent(Directrix(C),G)",
+      "coords": {}
+    },
+    {
+      "index": 6039,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6039.png",
+      "answer": "y^2=2*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;G: Line;Inclination(G) = ApplyUnit(120, degree);PointOnCurve(F, G);A: Point;Intersection(G, l) = A;B: Point;Intersection(LineSegmentOf(A, F), C) = B;Abs(LineSegmentOf(A, B)) = 4/3",
+      "coords": {}
+    },
+    {
+      "index": 6040,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6040.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;C: Circle;M: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Expression(C) = ((x - 6)^2 + (y + 1)^2 = 1);PointOnCurve(M, G);PointOnCurve(A, C);Focus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 6041,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6041.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;M: Point;A: Point;F: Point;C: Curve;Expression(G)=(y = x^2/4);PointOnCurve(M, G);Focus(G) = F;Expression(C)=((x - 1)^2 + (y - 4)^2 = 1);PointOnCurve(A, C)",
+      "coords": {}
+    },
+    {
+      "index": 6042,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6043,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6043.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Focus(G) = {F1,F2};PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6044,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_6044.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/4 + x^2/a^2 = 1);a: Number;a>0;Eccentricity(G) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 6045,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6045.png",
+      "answer": "(-3/2, 3/2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2 + y^2/4 = 1);P: Point;m: Number;Coordinate(P) = (0, m);PointOnCurve(P, yAxis);P1: Circle;Center(P1) = P;NumIntersection(P1, C) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6046,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6046.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;O: Circle;A: Point;P: Point;B: Point;L1: Line;L2: Line;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = b^2);PointOnCurve(P, C);TangentOfPoint(P, O) = {L1,L2};TangentPoint(L1,O)=A;TangentPoint(L2,O)=B;AngleOf(A, P, B) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6047,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6047.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(C) = F;L1: Line;L2: Line;OneOf(Asymptote(C))=L1;OneOf(Asymptote(C))=L2;Negation(L1=L2);l: Line;PointOnCurve(F, l);IsPerpendicular(l, L1);A: Point;FootPoint(l, L1)=A;B: Point;Intersection(l, L2)=B;MidPoint(LineSegmentOf(F, B))=A",
+      "coords": {}
+    },
+    {
+      "index": 6048,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6048.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 6049,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6049.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F2: Point;P: Point;Q: Point;F1: Point;e: Number;l:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = -x*b/a);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, l);FootPoint(l, H)=Q;Intersection(l,LeftPart(G)) = P;Abs(LineSegmentOf(F2, P)) = 2*Abs(LineSegmentOf(F2, Q));Eccentricity(G) = e;IsPerpendicular(H, l)",
+      "coords": {}
+    },
+    {
+      "index": 6050,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6051,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6051.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/b^2 = 1);b: Number;b>0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P,G) = True;Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6052,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_6052.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);H: Parabola;Expression(H) = (y^2 = 8*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 6053,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6053.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F: Point;P: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);UpperVertex(G) = A;LowerVertex(G) = B;RightFocus(G) = F;Intersection(LineOf(A,F), G) = {A,P};WhenMax(Slope(LineOf(B,P)))",
+      "coords": {}
+    },
+    {
+      "index": 6054,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6055,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6055.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y/b + x/a = 1);Focus(G)={F1,F2};Distance(F1,H)+Distance(F2,H)=sqrt(3)*b;Eccentricity(G)=e;e:Number;F1: Point;F2: Point",
+      "coords": {}
+    },
+    {
+      "index": 6056,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6056.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/4 = 1);L: LineSegment;IsChordOf(L,G) = True;PointOnCurve(Focus(G),L) = True;IsPerpendicular(L,xAxis) = True",
+      "coords": {}
+    },
+    {
+      "index": 6057,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6057.png",
+      "answer": "15",
+      "fact_expr": "A: Point;G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(A, G);M: Point;N: Point;H: Circle;Expression(H) = (y^2 + (x - 1)^2 = 1);IsDiameter(LineSegmentOf(M, N), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 6058,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6058.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;A: Point;O: Origin;B: Point;p>0;Expression(C) = (x^2 = 2*p*y);Inclination(l)=pi/4;PointOnCurve(F,l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, B)) = 8;F:Point;Focus(C)=F",
+      "coords": {}
+    },
+    {
+      "index": 6059,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6059.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Curve;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (-1, 2);PointOnCurve(P, G);l:Line;Expression(l)=(x=-1)",
+      "coords": {
+        "A": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6060,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6061,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6061.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;FocalLength(G) = 8;A: Point;LeftVertex(G) = A;B: Point;Coordinate(B) = (0, b);PointOnCurve(B, yAxis) = True;DotProduct(VectorOf(B, A), VectorOf(B, F)) = 2*a",
+      "coords": {}
+    },
+    {
+      "index": 6062,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6062.png",
+      "answer": "32",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (4, 0);PointOnCurve(P, H);x1: Number;y1: Number;x2: Number;y2: Number ;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H,G)={A,B}",
+      "coords": {
+        "P": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6063,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6063.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6064,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6064.png",
+      "answer": "24",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/49 + y^2/24 = 1);P: Point;PointOnCurve(P,G) = True;F1: Point;F2: Point;Focus(G) = {F1,F2}\t;IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6065,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6065.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;A: Point;M: Point;F: Point;l:Line;Expression(C) = (y = x^2/4);Focus(C) = F;Directrix(C)=l;Intersection(l, yAxis) = A;PointOnCurve(M, C);Abs(LineSegmentOf(M,A))/Abs(LineSegmentOf(M,F))=sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 6066,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6067,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6067.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;C: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Intersection(l,Directrix(G))=C;VectorOf(A, B) = 2*VectorOf(B, C)",
+      "coords": {}
+    },
+    {
+      "index": 6068,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6068.png",
+      "answer": "2*sqrt(6)/3",
+      "fact_expr": "G: Ellipse;P: Point;Q: Point;Expression(G) = (x^2/16 + y^2/4 = 1);Coordinate(Q) = (2, 0);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6069,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6069.png",
+      "answer": "{(x+y-2=0),(x-y-2=0)}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 8*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, Directrix(G)) = True;OneOf(Intersection(LineOf(P, F), G)) = Q;Q: Point;VectorOf(P, Q) = sqrt(2)*VectorOf(Q, F)",
+      "coords": {}
+    },
+    {
+      "index": 6070,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6070.png",
+      "answer": "5*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;A: Point;B: Point;Expression(G) = (y^2 = x);Coordinate(P) = (2, 2);PointOnCurve(P, H);Slope(H) = -1;Intersection(H, G) = {A, B}",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6071,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6072,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6072.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P, G);Focus(G)={F1,F2};AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6073,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6073.png",
+      "answer": "1/2",
+      "fact_expr": "O: Origin;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (x^2/a^2 + y^2/b^2 = 1);a: Number;b: Number;a>b;b>0;P: Point;PointOnCurve(P,G) = True;AngleOf(F1,P,F2) = pi/3;Abs(LineSegmentOf(O,P)) = a*sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 6074,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6075,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6075.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6076,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.8176298651812968,
+        "b": 2.452642014841466,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4992967561765154e-06,
+        "converged": true,
+        "iterations": 283
+      },
+      "output_path": "results/train/hyperbola/problem_6076.png",
+      "answer": "x^2 - y^2/9 = \\pm 1",
+      "fact_expr": "G: Hyperbola;FocalLength(G) = 2*sqrt(10);Expression(Asymptote(G)) = (y = pm*3*x)",
+      "coords": {}
+    },
+    {
+      "index": 6077,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6078,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6079,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6080,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6080.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);H: Ellipse;Focus(G) = Vertex(H);Vertex(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6081,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6081.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;M: Point;A: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightVertex(C) = A;Center(G)=A;Radius(G)=b;Intersection(OneOf(Asymptote(C)),G)={M,N};AngleOf(M, A, N) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6082,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142164151010692,
+        "b": 1.4142164151010692,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.2160979279094996e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_6082.png",
+      "answer": "x^2/2 - y^2/2 = 1",
+      "fact_expr": "C: Hyperbola;F1: Point;LeftFocus(C) = F1;Coordinate(F1) = (-2,0);F2:Point;RightFocus(C) = F2;Coordinate(F2) = (2,0);P: Point;PointOnCurve(P,C) = True;Coordinate(P) = (2,sqrt(2))",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ],
+        "P": [
+          2.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 6083,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6084,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.3612699570633513,
+        "b": 1.5726654040333643,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.189494861157194e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/hyperbola/problem_6084.png",
+      "answer": "{x^2/18 - y^2/8 = 1, y^2/8 - x^2/18 = 1}",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*(2/3)*x);FocalLength(G)=2*sqrt(26)",
+      "coords": {}
+    },
+    {
+      "index": 6085,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.6457513110645907,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 7.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6085.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;H: Circle;I: Line;m: Number;n: Number;P: Point;Expression(G) = (x^2/7 + y^2/3 = 1);Expression(H) = (x^2 + y^2 = 3);Expression(I) = (m*x + n*y - 3 = 0);Coordinate(P) = (m, n);NumIntersection(I,H)=0;L:Line;PointOnCurve(P,L)",
+      "coords": {}
+    },
+    {
+      "index": 6086,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6086.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Circle;F1: Point;M: Point;F2: Point;l: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = a^2);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);TangentOfPoint(F1,H)=l;Intersection(l,RightPart(G))=M;AngleOf(F1, M, F2) = ApplyUnit(45,degree)",
+      "coords": {}
+    },
+    {
+      "index": 6087,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6087.png",
+      "answer": "y=pm*sqrt(6)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;O: Origin;F2: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,RightPart(C));IsPerpendicular(LineSegmentOf(P,O),LineSegmentOf(P,F2));AngleOf(F1, P, O) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6088,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6088.png",
+      "answer": "2*x-3*y-2*sqrt(5)=0",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;B: Point;A: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;UpperVertex(C)=B;LineSegmentOf(A, B) = sqrt(13);Eccentricity(C) = sqrt(5)/3;F2:Point;RightFocus(C)=F2;PointOnCurve(F2,l);IsParallel(l,LineOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 6089,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6089.png",
+      "answer": "{(sqrt(7),0) , (-sqrt(7),0)}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6090,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6090.png",
+      "answer": "-3/4",
+      "fact_expr": "C: Ellipse;P: Point;A1: Point;A2: Point;k1: Number;k2: Number;Expression(C) = (x^2/4 + y^2/3 = 1);LeftVertex(C) = A1;RightVertex(C) = A2;PointOnCurve(P, C);Negation(P = A1);Negation(P = A2);Slope(LineOf(P, A1)) = k1;Slope(LineOf(P, A2)) = k2",
+      "coords": {}
+    },
+    {
+      "index": 6091,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6091.png",
+      "answer": "7",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;O: Origin;Expression(C) = (x^2/16 + y^2/7 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(P, C);Abs(LineSegmentOf(O, P)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6092,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6092.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);Focus(G) = {F1,F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6093,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6093.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;l: Line;K:Point;H:Line;t:Number;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(P) = (3, t);Focus(C) = F;Directrix(C)=l;Intersection(l,xAxis)=K;PointOnCurve(K,H);Inclination(H)=ApplyUnit(45,degree);Intersection(H,C)=P",
+      "coords": {}
+    },
+    {
+      "index": 6094,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.872983346207417,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 15.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6094.png",
+      "answer": "[5,21]",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/16 + y^2/15 = 1);PointOnCurve(P, G);E: Point;F: Point;IsDiameter(LineSegmentOf(E, F), N) ;N: Circle;Expression(N) = (y^2 + (x - 1)^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 6095,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_asymptote_mismatch",
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_6095.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (y = sqrt(2)*x)",
+      "coords": {},
+      "validation_reasons": [
+        "hyperbola_asymptote_mismatch"
+      ]
+    },
+    {
+      "index": 6096,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6097,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.7562712752322653,
+        "b": 3.892939649129513,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.003583788532906e-05,
+        "converged": true,
+        "iterations": 105
+      },
+      "output_path": "results/train/hyperbola/problem_6097.png",
+      "answer": "{x^2/75+y^2/50=1,y^2/75+x^2/50=1}",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(G) = (x^2/16 - y^2/9 = 1);Eccentricity(H) = sqrt(3)/3;FocalLength(G) = FocalLength(H)",
+      "coords": {}
+    },
+    {
+      "index": 6098,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6098.png",
+      "answer": "x^2/5+y^2/4=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;A: Point;B: Point;J: Point;L1:Line;L2:Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 1);Coordinate(J) = (1, 1/2);TangentOfPoint(J, H)={L1,L2};TangentPoint(L1,H)=A;TangentPoint(L2,H)=B;PointOnCurve(RightFocus(G),LineOf(A,B));PointOnCurve(UpperVertex(G),LineOf(A,B))",
+      "coords": {
+        "J": [
+          1.0,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 6099,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6099.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/5 + y^2/3 = 1);PointOnCurve(P, G);J1: Point;J2: Point;Focus(G) = {J1, J2}",
+      "coords": {}
+    },
+    {
+      "index": 6100,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6100.png",
+      "answer": "6*sqrt(5)/5-1",
+      "fact_expr": "l: Line;G: Parabola;A: Point;Expression(G) = (y^2 = -4*x);Expression(l) = (2*x + y - 4 = 0);PointOnCurve(A,G);Distance(A, yAxis) = m;Distance(A, l) = n;m:Number;n:Number",
+      "coords": {}
+    },
+    {
+      "index": 6101,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6101.png",
+      "answer": "{x^2/4+y^2/3=1,x^2/4+3*y^2/16=1}",
+      "fact_expr": "G: Parabola;H: Ellipse;O:Origin;Expression(G) = (y^2 = 8*x);Center(H)=O;OneOf(Vertex(H))=Focus(G);Eccentricity(H)=1/2",
+      "coords": {}
+    },
+    {
+      "index": 6102,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6103,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6103.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Hyperbola;b: Number;b>0;e:Number;Expression(C) = (x^2/4 - y^2/b^2 = 1);Eccentricity(C) = e ;e= 2",
+      "coords": {}
+    },
+    {
+      "index": 6104,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6104.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/8 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6105,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6105.png",
+      "answer": "(x-2)^2+(y-5/3)^2=25/9",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(P,G);Quadrant(P)=1;LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1))-Abs(LineSegmentOf(P, F2)) = 8/3;Center(H)=P;Radius(H)=Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 6106,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6106.png",
+      "answer": "(-1,0)+(0,1)",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;M: Point;k:Number;Negation(k=0);Expression(G) = (x^2/3 + y^2 = 1);Coordinate(A) = (0, -1);Slope(l)=k;Intersection(l,G)={M,N};Negation(M=N);Distance(M,A)=Distance(N,A);N:Point",
+      "coords": {
+        "A": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 6107,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6107.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6108,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6108.png",
+      "answer": "1-(\\sqrt{3}/3)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;B: Point;Endpoint(MajorAxis(C)) = {A, B};M: Point;PointOnCurve(M, C);AngleOf(M, A, B) = ApplyUnit(30, degree);AngleOf(M, B, A) = ApplyUnit(45, degree);e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 6109,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6109.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6110,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6110.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);M: Point;Coordinate(M) = (2, -2);PointOnCurve(M, C);A: Point;B: Point;PointOnCurve(A, C);PointOnCurve(B, C);Negation(M=A);Negation(M=B);DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 6111,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6112,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6112.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/64 + y^2/36 = 1);PointOnCurve(P, G);F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Distance(P, F1) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6113,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6114,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6114.png",
+      "answer": "3/2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Point;Expression(G) = (-y^2/5 + x^2/a^2 = 1);Coordinate(H) = (3, 0);RightFocus(G) = H",
+      "coords": {
+        "H": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6115.png",
+      "answer": "(0,-1/8)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y/2)",
+      "coords": {}
+    },
+    {
+      "index": 6116,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6116.png",
+      "answer": "5",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(P) = (x1, y1);x1:Number;y1:Number;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 6117,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6117.png",
+      "answer": "y = x + pm*1",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;B: Point;Expression(C) = (x^2/3 + y^2 = 1);Slope(l) = 1;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 3*sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 6118,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6118.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A1: Point;A2: Point;LeftVertex(C) = A1;RightVertex(C) = A2;M: Point;PointOnCurve(M, C);Negation(M = A1);Negation(M = A2);Slope(LineOf(M, A1)) * Slope(LineOf(M, A2)) = -1/2",
+      "coords": {}
+    },
+    {
+      "index": 6119,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6119.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;Q: Point;M: Point;P: Point;O:Origin;Expression(G) = (y^2 = x);PointOnCurve(P,G);Negation(P=O);IsPerpendicular(LineSegmentOf(P,Q),xAxis);FootPoint(LineSegmentOf(P,Q),xAxis)=Q;L:Line;PointOnCurve(MidPoint(LineSegmentOf(P,Q)),L);IsParallel(L,xAxis);Intersection(L,G)=M;Intersection(LineOf(Q,M),yAxis)=N;N:Point",
+      "coords": {}
+    },
+    {
+      "index": 6120,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6120.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;N: Point;M: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l)=(x-3*y+c=0);l1:Line;l2:Line;Asymptote(C)={l1,l2};Intersection(l,l1)=M;Intersection(l,l2)=N;PointOnCurve(RightFocus(C),PerpendicularBisector(LineSegmentOf(M,N)));Coordinate(RightFocus(C)) = (c, 0);c:Number",
+      "coords": {}
+    },
+    {
+      "index": 6121,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6121.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A: Point;F1: Point;O: Origin;B: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, Asymptote(G));IsPerpendicular(LineSegmentOf(A, F1), LineSegmentOf(A, O));Intersection(LineSegmentOf(A, F1), G) = B;Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(B, F1))",
+      "coords": {}
+    },
+    {
+      "index": 6122,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          5.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6122.png",
+      "answer": "10",
+      "fact_expr": "P: Point;C3: Curve;Expression(C3) = (x^2/16 - y^2/9 = 1);PointOnCurve(P, C3);Q: Point;C1: Curve;Expression(C1) = (y^2 + (x + 5)^2 = 1);PointOnCurve(Q, C1);R: Point;C2: Curve;Expression(C2) = (y^2 + (x - 5)^2 = 1);PointOnCurve(R, C2)",
+      "coords": {}
+    },
+    {
+      "index": 6123,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6123.png",
+      "answer": "(1,2)",
+      "fact_expr": "Gamma: Hyperbola;Expression(Gamma) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(Gamma) = F1;RightFocus(Gamma) = F2;P: Point;PointOnCurve(P, RightPart(Gamma));Q: Point;PointOnCurve(Q, OverlappingLine(LineSegmentOf(P, F2)));IsPerpendicular(LineSegmentOf(Q, F1), LineSegmentOf(Q, F2));Sin(AngleOf(P, F1, Q)) = 3/5",
+      "coords": {}
+    },
+    {
+      "index": 6124,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6124.png",
+      "answer": "[sqrt(5)/5, 1/2]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;F1: Point;F2: Point;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G) = {F1, F2};PointOnCurve(M, G);DotProduct(VectorOf(F1, M), VectorOf(F2, M)) = 3*c^2",
+      "coords": {}
+    },
+    {
+      "index": 6125,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6125.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Ellipse;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x^2/25 + y^2/16 = 1);PointOnCurve(LeftFocus(H), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 6126,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6126.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G) = True;AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6127,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6128,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6128.png",
+      "answer": "y**2=16*x",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;Expression(H) = (3*x - 4*y - 12 = 0);Vertex(G) = O;SymmetryAxis(G)=xAxis;PointOnCurve(Focus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 6129,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6130,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6130.png",
+      "answer": "[sqrt(6)/2, 2*sqrt(10)/5]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;B: Point;A: Point;l1: Line;l2: Line;l: Line;lambda: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Asymptote(C) = {l1, l2};PointOnCurve(F, l);IsPerpendicular(l, l1);FootPoint(l, l1) = A;Intersection(l, l2) = B;VectorOf(F, B) = lambda*VectorOf(A, F);3 <= lambda;lambda <= 4",
+      "coords": {}
+    },
+    {
+      "index": 6131,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/train/hyperbola/problem_6131.png",
+      "answer": "1/3",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;M: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Incenter(TriangleOf(P, F1, F2)) = M;lambda:Number;Area(TriangleOf(M,P,F1))=Area(TriangleOf(M,P,F2))+lambda*Area(TriangleOf(M,F1,F2));Eccentricity(G) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6132,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6132.png",
+      "answer": "pm*(2/5)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;H: Line;PointOnCurve(F, H);x1: Number;x2: Number;y1: Number;y2: Number;M: Point;N: Point;Coordinate(M) = (x1, y1);Coordinate(N) = (x2, y2);Intersection(H, C) = {M, N};P: Point;Coordinate(P) = (x2, -y2);Area(TriangleOf(M, P, F)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 6133,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6133.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F2: Point;Q: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F2;l:Line;PointOnCurve(F2,l);L1:Line;L2:Line;OneOf(Asymptote(G))=L1;OneOf(Asymptote(G))=L2;Negation(L1=L2);IsPerpendicular(l,L1);FootPoint(l,L1)=P;Intersection(l,L2)=Q;VectorOf(F2,Q)=3*VectorOf(F2,P)",
+      "coords": {}
+    },
+    {
+      "index": 6134,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_6134.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;c:Number;Q: Point;P: Point;F1: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(Q) = (0, sqrt(3)*c);Eccentricity(C) = 2;LeftFocus(C) = F1;HalfFocalLength(C)=c;PointOnCurve(P, RightPart(C));Min(Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, Q))) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6135,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6135.png",
+      "answer": "x^2/18+y^2/9=1",
+      "fact_expr": "E: Ellipse;H: Line;A: Point;B: Point;F: Point;a:Number;b:Number;a>b;b>0;Expression(E)=(x^2/a^2+y^2/b^2=1);Coordinate(F) = (3, 0);RightFocus(E) = F;PointOnCurve(F, H);Intersection(H, E) = {A,B};Coordinate(MidPoint(LineSegmentOf(A, B))) = (1,-1)",
+      "coords": {
+        "F": [
+          3.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6136,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6136.png",
+      "answer": "y=-2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y)",
+      "coords": {}
+    },
+    {
+      "index": 6137,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6138,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.581065485469099,
+        "b": 1.581065485469099,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6812139285133018e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_6138.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;F1: Point;Coordinate(F1) = (-sqrt(5), 0);F2: Point;Coordinate(F2) = (sqrt(5), 0);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {
+        "F1": [
+          -2.23606797749979,
+          0.0
+        ],
+        "F2": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6139,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6139.png",
+      "answer": "1/2",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;P: Point;PointOnCurve(P, E) = True;Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2));Distance(F2, LineOf(P,F1)) = b",
+      "coords": {}
+    },
+    {
+      "index": 6140,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6140.png",
+      "answer": "5/2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*y);F: Point;Focus(C) = F;Slope(l) = 1/2;PointOnCurve(F, l) = True;l: Line;Intersection(l, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 6141,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6142,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6143,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6144,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6144.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;m: Number;p>0;Expression(G) = (x^2 = 2*(p*y));Coordinate(A) = (m, 1);PointOnCurve(A, G);Focus(G) = F;Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6145,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6145.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C)=(x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;RightFocus(C) = F;O: Origin;D: Circle;F:Point;F = Center(D);M: Point;N: Point;Quadrant(M) = 1;Quadrant(N) = 1;Radius(D)=Abs(LineSegmentOf(O,F));Intersection(D,C)=M;Intersection(D,Asymptote(C))=N;P: Point;P=MidPoint(LineSegmentOf(M,F));Abs(LineSegmentOf(O, N)) = Abs(LineSegmentOf(O, P))",
+      "coords": {}
+    },
+    {
+      "index": 6146,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6147,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6147.png",
+      "answer": "(3,pm*2*sqrt(3))",
+      "fact_expr": "C: Parabola;P: Point;N: Point;F: Point;Q: Point;Expression(C) = (y^2 = 4*x);PointOnCurve(P, C);Focus(C) = F;Intersection(Directrix(C), xAxis) = N;Intersection(LineOf(N,P),C)=Q;Abs(LineSegmentOf(P, F)) = 3*Abs(LineSegmentOf(Q, F))",
+      "coords": {}
+    },
+    {
+      "index": 6148,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 64.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6148.png",
+      "answer": "x^2/36 - y^2/12 = 1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;H: Line;Expression(G) = (x^2 + 4*y^2 = 64);Expression(H) = (x + sqrt(3)*y = 0);Focus(C) = Focus(G);OneOf(Asymptote(C))=H",
+      "coords": {}
+    },
+    {
+      "index": 6149,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6149.png",
+      "answer": "4/5",
+      "fact_expr": "G: Parabola;p: Number;P: Point;Q: Point;M: Point;l: Line;p>0;Expression(G) = (y^2 = 2*(p*x));Directrix(G) = l;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, Q),l);FootPoint(LineSegmentOf(P, Q),l)=Q;Coordinate(M) = (2, 0);Negation(M=Focus(G));Abs(LineSegmentOf(P, Q)) = Abs(LineSegmentOf(P, M));AngleOf(M, P, Q) = ApplyUnit(120, degree)",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6150,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6150.png",
+      "answer": "(1,4)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x + k);k: Number;G: Ellipse;Expression(G) = (y^2/4 + x^2/m = 1);m: Real;PointOnCurve(Focus(G),yAxis) = True;NumIntersection(H,G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6151,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6151.png",
+      "answer": "(x-2)^2 + (y - 2\\sqrt{2})^2 = 9",
+      "fact_expr": "C: Parabola;G: Circle;A: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(A,C);Quadrant(A)=1;Abs(LineSegmentOf(A, F)) = 3;Center(G)=A;Radius(G)=LineSegmentOf(A,F)",
+      "coords": {}
+    },
+    {
+      "index": 6152,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6152.png",
+      "answer": "(a^2/c,0)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;F: Point;P: Point;A: Point;c:Number;a > b;b > 0;l:Line;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (c, 0);RightFocus(G) = F;PointOnCurve(F, H);Intersection(H,G) = P;TangentOnPoint(P,G)=l;Intersection(l,xAxis)=A;IsPerpendicular(H,xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 6153,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6153.png",
+      "answer": "-1/3",
+      "fact_expr": "C: Ellipse;G: Line;O: Origin;A: Point;B: Point;Expression(C) = (x^2/2 + y^2 = 1);Slope(G)=1;PointOnCurve(LeftFocus(C),G);Intersection(G,C)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 6154,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6155,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6155.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;H: Line;O: Origin;A: Point;B: Point;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(RightFocus(G), H);Slope(H)=2;Intersection(H,G) = {B, A}",
+      "coords": {}
+    },
+    {
+      "index": 6156,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6156.png",
+      "answer": "(0, pm*1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(F1, A) = 5*VectorOf(F2, B)",
+      "coords": {}
+    },
+    {
+      "index": 6157,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6157.png",
+      "answer": "3",
+      "fact_expr": "l: Line;G: Parabola;O: Origin;P: Point;A: Point;B: Point;m:Number;n:Number;m<=n;Expression(G) = (y^2 = 4*x);Expression(l) = (sqrt(3)*x - y - sqrt(3) = 0);Intersection(l, G) = {A, B};Intersection(l,xAxis)=P;VectorOf(O, P) = m*VectorOf(O, A) + n*VectorOf(O, B)",
+      "coords": {}
+    },
+    {
+      "index": 6158,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6158.png",
+      "answer": "0",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Area(TriangleOf(F1, P, F2)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6159,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6160,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6160.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);IsPerpendicular(LineSegmentOf(A, B), xAxis);Abs(LineSegmentOf(A, B)) = 4*sqrt(3);F: Point;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 6161,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6162,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6162.png",
+      "answer": "(\\sqrt{15}, \\pm 1)",
+      "fact_expr": "G: Hyperbola;P: Point;F1:Point;F2:Point;Expression(G) = (x^2/12 - y^2/4 = 1);PointOnCurve(P,RightPart(G));Area(TriangleOf(P,F1,F2))=4;Focus(G)={F1,F2}",
+      "coords": {}
+    },
+    {
+      "index": 6163,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6163.png",
+      "answer": "2*x-8*y-9=0",
+      "fact_expr": "l: Line;E: Ellipse;B: Point;A: Point;Expression(E) = (x^2/4 + y^2/2 = 1);Intersection(l, E) = {A, B};Coordinate(MidPoint(LineSegmentOf(A,B)))=(1/2,-1)",
+      "coords": {}
+    },
+    {
+      "index": 6164,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6164.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/12 - y^2/4 = 1);Expression(H) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 6165,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6166,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6166.png",
+      "answer": "y=pm*x",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/3 + y^2 = 1);C2: Hyperbola;F1: Point;F2: Point;Focus(C1) = {F1, F2};Focus(C2) = {F1, F2};P: Point;Intersection(C1, C2) = P;O: Origin;LineSegmentOf(O, P) = LineSegmentOf(O, F)",
+      "coords": {}
+    },
+    {
+      "index": 6167,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6167.png",
+      "answer": "12",
+      "fact_expr": "G: Ellipse;m: Number;H: Line;A: Point;B: Point;Expression(G) = (y^2/4 + x^2/m = 1);Expression(H) = (y = x + 2);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 3*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 6168,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6168.png",
+      "answer": "[9/4,13/3]",
+      "fact_expr": "l: Line;C: Ellipse;M: Point;F: Point;N: Point;O:Origin;Expression(C) = (x^2/4 + y^2/3 = 1);RightFocus(C)=F;PointOnCurve(O,l);Intersection(l, C) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 6169,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6169.png",
+      "answer": "(\\sqrt{10}, +\\infty)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(RightVertex(G), L) = True;Slope(L) = 3;L: Line;IsIntersect(L, LeftPart(G)) = True;IsIntersect(L, RightPart(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6170,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6170.png",
+      "answer": "16/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};P: Point;PointOnCurve(P, G) = True;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6171,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6171.png",
+      "answer": "{sqrt(5),sqrt(5)/2}",
+      "fact_expr": "C: Hyperbola;G: Parabola;O:Origin;P: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G)=F;Center(C)=O;SymmetryAxis(C)=axis;Intersection(OneOf(Asymptote(C)),G)=P;Abs(LineSegmentOf(P, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6172,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6172.png",
+      "answer": "y^2/12 - x^2/3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/4 = 1);G1: Hyperbola;Asymptote(G) = Asymptote(G1);H: Point;Coordinate(H) = (-1, 4);PointOnCurve(H, G1)",
+      "coords": {
+        "H": [
+          -1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6173,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6173.png",
+      "answer": "25",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;R: Point;Expression(G) = (x^2/25 - y^2/16 = 1);PointOnCurve(P, G);Z: Line;L1: Line;L2: Line;Asymptote(G) = {L1, L2};PointOnCurve(P, Z);IsParallel(Z, xAxis);Intersection(Z, L1) = Q;Intersection(Z, L2) = R",
+      "coords": {}
+    },
+    {
+      "index": 6174,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6174.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;Q: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Intersection(LineOf(P, F2), yAxis) = Q;VectorOf(F2, P) = (2/3)*VectorOf(P, Q)",
+      "coords": {}
+    },
+    {
+      "index": 6175,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6175.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/k = 1);k: Number;e:Number;Eccentricity(G) = e;In(e, (1, 2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6176,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6176.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(P, G);XCoordinate(P)=4",
+      "coords": {}
+    },
+    {
+      "index": 6177,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "major_axis": "y",
+        "x_coef": 0.25,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6177.png",
+      "answer": "1-sqrt(3)/2",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (4*x^2 + y^2 = 1);PointOnCurve(P, G);OneOf(Focus(G))=F",
+      "coords": {}
+    },
+    {
+      "index": 6178,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6178.png",
+      "answer": "{1, 2}",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;M: Point;l1: Line;l2: Line;p>0;Expression(G) = (x^2 = 2*(p*y));Coordinate(M) = (2, -2*p);TangentOfPoint(M, G) = {l1, l2};TangentPoint(l1, G) = A;TangentPoint(l2, G) = B;YCoordinate(MidPoint(LineSegmentOf(A, B))) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6179,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6179.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "H: Line;Expression(H) = (x - sqrt(3)*y + sqrt(3) = 0);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(G) = F;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};C: Point;Intersection(H, yAxis) = C;VectorOf(F, A) = 2*VectorOf(F, C)",
+      "coords": {}
+    },
+    {
+      "index": 6180,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6180.png",
+      "answer": "4",
+      "fact_expr": "C: Parabola;p: Number;P: Point;p>0;Expression(C) = (y^2 = 2*(p*x));PointOnCurve(P, C);Distance(P, Focus(C)) = 7;Distance(P,yAxis) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6181,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6181.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2:Point;Expression(G) = (-x^2/20 + y^2/16 = 1);PointOnCurve(P, G);OneOf(Focus(G)) = F1;Distance(P, F1) = 9",
+      "coords": {}
+    },
+    {
+      "index": 6182,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6183,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6183.png",
+      "answer": "5/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);Distance(MidPoint(LineSegmentOf(A, B)), xAxis) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6184,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4970015082757973,
+        "b": 1.1157990585381212,
+        "major_axis": "x",
+        "x_coef": 2.25,
+        "y_coef": 1.2500000000000002
+      },
+      "optimization": {
+        "final_loss": 1.232595164407831e-31,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_6184.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;H: Line;F1: Point;F2: Point;A: Point;B: Point;Coordinate(F1) = (-1, 0);Coordinate(F2) = (1, 0);Focus(G) = {F1, F2};Eccentricity(G) = 2/3;PointOnCurve(F1, H);Intersection(H, G) = {A, B}",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6185,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6185.png",
+      "answer": "(3/2, sqrt(3))",
+      "fact_expr": "C: Parabola;P: Point;N: Point;F: Point;L:Line;Focus(C)=F;Expression(C) = (y^2 = 2*x);PointOnCurve(P,C);PointOnCurve(P,L);Quadrant(P)=1;TangentOfPoint(P,C)=L;Intersection(L,Directrix(C))=N;AngleOf(P, N, F) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6186,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6186.png",
+      "answer": "32/3",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(Focus(G), H);Inclination(H)=pi/3;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6187,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6187.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Line;B: Point;A: Point;P: Point;Expression(G) = (x^2 - y^2/3 = 1);Coordinate(P) = (2, 1);PointOnCurve(P, H);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6188.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);Focus(C) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6189,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6189.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Line;Inclination(G) = pi/4;C: Hyperbola;Expression(C) = (x^2/3 - y^2 = 1);PointOnCurve(Focus(C), G);A: Point;B: Point;Intersection(G, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6190,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6190.png",
+      "answer": "(2, 2)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 2);Focus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6191,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6192,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6192.png",
+      "answer": "(2,4)",
+      "fact_expr": "M: Point;Coordinate(M) = (3, 4);F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 8*x);P: Point;PointOnCurve(P, G) = True;WhenMin(Abs(LineSegmentOf(P,M)) + Abs(LineSegmentOf(P,F)))",
+      "coords": {
+        "M": [
+          3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6193,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6193.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "G: Parabola;H: Circle;Expression(G) = (y^2 = 4*x);Expression(H) = (-4*y + x^2 + y^2 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6194,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6194.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "H: Parabola;Vertex(H) = O;O: Origin;G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6195,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6195.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;O: Origin;M: Point;A: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x/2 + 1);Eccentricity(G) = sqrt(3)/2;Intersection(H, G) = {A, B};PointOnCurve(M, G);LineSegmentOf(O, M) = LineSegmentOf(O, A)/2 + (sqrt(3)/2)*LineSegmentOf(O, B)",
+      "coords": {}
+    },
+    {
+      "index": 6196,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6196.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;F2: Point;A: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;IsDiameter(LineSegmentOf(F1, F2), G);L1: Line;L2: Line;Asymptote(C) = {L1, L2};Intersection(G, L1) = A;MidPoint(LineSegmentOf(A, F1)) = B;PointOnCurve(B, L2)",
+      "coords": {}
+    },
+    {
+      "index": 6197,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6197.png",
+      "answer": "2",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/3 + x^2/a^2 = 1);a: Number;a>0;P: Point;PointOnCurve(P, H);G: Parabola;Expression(G) = (y^2 = (9/4)*x);PointOnCurve(P, G);F: Point;Focus(G) = F;Abs(LineSegmentOf(P, F)) = 25/16",
+      "coords": {}
+    },
+    {
+      "index": 6198,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6199,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6199.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;B: Point;RightVertex(C)=A;UpperVertex(C)=B;Abs(LineSegmentOf(A, B)) = (sqrt(3)/2)*Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6200,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6200.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(OneOf(Asymptote(G))) = (y = x/2)",
+      "coords": {}
+    },
+    {
+      "index": 6201,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6201.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6202,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6202.png",
+      "answer": "(-sqrt(3)/3, sqrt(3)/3)",
+      "fact_expr": "M: Point;Coordinate(M) = (x0, y0);x0: Number;y0: Number;C: Hyperbola;Expression(C) = (x^2/2 - y^2 = 1);PointOnCurve(M, C) = True;F1: Point;F2: Point;Focus(C) = {F1, F2};DotProduct(VectorOf(M, F1), VectorOf(M, F2)) < 0",
+      "coords": {}
+    },
+    {
+      "index": 6203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6203.png",
+      "answer": "3*sqrt(26)/13",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(a*x));a: Number;a>0;F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (-x^2/9 + y^2/4 = 1);M: Point;N: Point;Intersection(Directrix(H), G) = {M, N};AngleOf(M, F, N) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6204,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.9560877084732056,
+        "b": 1.622148733645621,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.7588219936233933e-05,
+        "converged": true,
+        "iterations": 62
+      },
+      "output_path": "results/train/ellipse/problem_6204.png",
+      "answer": "[sqrt(3)/3,sqrt(3)/2]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(H) = (1, sqrt(2));PointOnCurve(H, G);Range(Length(MajorAxis(G)))=[4,6]",
+      "coords": {
+        "H": [
+          1.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 6205,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6206,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6206.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;M: Point;B: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (0, 1);PointOnCurve(M, l);Slope(l) = 1;VectorOf(B, M) = 2*VectorOf(A, M);FocalLength(C) = 2*sqrt(10);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(l,L1)=A;Intersection(l,L2)=B",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6207,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6207.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F: Point;D: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;PointOnCurve(F,LineSegmentOf(F,D));IsPerpendicular(LineSegmentOf(F,D),Asymptote(C));FootPoint(LineSegmentOf(F,D),Asymptote(C))=D;Abs(LineSegmentOf(F, D)) = (sqrt(3)/2)*Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 6208,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6209,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6210,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6210.png",
+      "answer": "7/4",
+      "fact_expr": "A: Point;B: Point;LineSegmentOf(A,B) = 4;Endpoint(LineSegmentOf(A,B)) = {A,B};G: Parabola;Expression(G) = (y^2=x);MidPoint(LineSegmentOf(A,B)) = M;M: Point;PointOnCurve(Endpoint(LineSegmentOf(A,B)),G)",
+      "coords": {}
+    },
+    {
+      "index": 6211,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6211.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "C: Parabola;p: Number;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Distance(F,Directrix(C)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6212,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6212.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;M: Point;N: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(M, G);PointOnCurve(N, G);Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6213,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6213.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;B: Point;A: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);RightFocus(G)=F2;PointOnCurve(F2,LineOf(A,B));Intersection(LineOf(A,B),G) = {A, B};LeftFocus(G) = F1",
+      "coords": {}
+    },
+    {
+      "index": 6214,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "y",
+        "x_coef": 27.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6214.png",
+      "answer": "y^2/4 - x^2/5 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/27 + y^2/36 = 1);IsIntersect(G, H);Focus(G) = Focus(H);Coordinate(OneOf(Intersection(G, H))) = (sqrt(15), 4)",
+      "coords": {}
+    },
+    {
+      "index": 6215,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6215.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;P: Point;F: Point;Expression(G) = (x^2/4 - y^2/12 = 1);Coordinate(A) = (1, 4);LeftFocus(G) = F;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6216,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6217,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6217.png",
+      "answer": "sqrt(10)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(x+3*y=0)",
+      "coords": {}
+    },
+    {
+      "index": 6218,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6219,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6220,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          -0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6220.png",
+      "answer": "x^2/4 + y^2/3 = 1",
+      "fact_expr": "G: Ellipse;PointOnCurve(Focus(G), xAxis);Eccentricity(G) = 0.5;C: Circle;Expression(C) = (-2*x + x^2 + y^2 - 15 = 0);Length(MajorAxis(G)) = Radius(C)",
+      "coords": {}
+    },
+    {
+      "index": 6221,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6221.png",
+      "answer": "13",
+      "fact_expr": "H: Parabola;Expression(H) = (y = x^2/16);G: Hyperbola;Expression(G) = (x^2/3 - y^2/m = -1);m: Number;Focus(H) = UpperFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6222,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6222.png",
+      "answer": "sqrt(2) + 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);IsPerpendicular(H, xAxis) ;Intersection(H, G) = {A, B};A: Point;B: Point;DotProduct(VectorOf(F1, A), VectorOf(F1, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6223,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6223.png",
+      "answer": "[1,5)",
+      "fact_expr": "G: Ellipse;m: Real;H: Line;k: Number;Expression(G) = (x^2/5 + y^2/m = 1);Expression(H) = (y = k*x + 1);PointOnCurve(Focus(G),xAxis);IsIntersect(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 6224,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6225,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6226,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6227,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6227.png",
+      "answer": "4*sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/12 = 1);P: Point;PointOnCurve(P, G);H: Line;Expression(H) = (x - 2*y - 12 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6228,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6228.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);F: Point;LeftFocus(G) = F;PointOnCurve(F, LineOf(M, N)) = True;Intersection(LineOf(M, N), G) = {M, N};N: Point;M: Point;O: Origin;PointOnCurve(O, LineOf(P, Q)) = True;IsParallel(LineOf(P, Q), LineSegmentOf(M, N)) = True;Intersection(LineSegmentOf(P, Q), G) = {P, Q};Q: Point;P: Point",
+      "coords": {}
+    },
+    {
+      "index": 6229,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6229.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);P: Point;x1: Number;y1: Number;Coordinate(P) = (x1, y1);Q: Point;x2: Number;y2: Number;Coordinate(Q) = (x2, y2);Intersection(l, G) = {P, Q};x1+x2=4",
+      "coords": {}
+    },
+    {
+      "index": 6230,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6230.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (1, 1)",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6231,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_6231.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;M: Point;y0:Number;Expression(G) = (-y^2/3 + x^2/a = 1);Expression(H) = (y^2 = 4*(a*x));Coordinate(M) = (2, y0);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);PointOnCurve(M,H);Focus(H)=F;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 6232,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6232.png",
+      "answer": "pm*sqrt(5)",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Expression(H) = (y^2 = -12*x);Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 6233,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6233.png",
+      "answer": "(0, \\sqrt{2}/2]",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;B: Point;UpperVertex(C) = B;P: Point;PointOnCurve(P,C);Abs(LineSegmentOf(P,B)) <= 2*b",
+      "coords": {}
+    },
+    {
+      "index": 6234,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6234.png",
+      "answer": "2",
+      "fact_expr": "P: Point;Coordinate(P) = (x1, y1);x1: Number;y1: Number;G: Ellipse;Expression(G) = (x^2/8 + y^2/2 = 1);PointOnCurve(P, G) = True;Q: Point;Coordinate(Q) = (x2, y2);x2: Number;y2: Number;H: Line;Expression(H) = (x + 2*y - 8 = 0);PointOnCurve(Q, H) = True",
+      "coords": {}
+    },
+    {
+      "index": 6235,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6236,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6236.png",
+      "answer": "y=pm*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Circle;O: Origin;F: Point;P: Point;Q: Point;D:Circle;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(D) = (x^2 + y^2 = a^2);RightFocus(C)=F;IsDiameter(LineSegmentOf(O,F),H);Intersection(H,D)={P,Q};Abs(LineSegmentOf(P, Q)) = Abs(LineSegmentOf(O, F))",
+      "coords": {}
+    },
+    {
+      "index": 6237,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6238,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6238.png",
+      "answer": "y=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y)",
+      "coords": {}
+    },
+    {
+      "index": 6239,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6239.png",
+      "answer": "x^2/20 - y^2/5 = 1",
+      "fact_expr": "H: Line;Expression(H) = (2*x + y - 10 = 0);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(OneOf(Focus(G)),H) = True;IsPerpendicular(H,OneOf(Asymptote(G))) = True",
+      "coords": {}
+    },
+    {
+      "index": 6240,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6240.png",
+      "answer": "(x-1)^2+y^2=4",
+      "fact_expr": "G: Parabola;H: Circle;F: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;Center(H)=F;IsTangent(l,H)",
+      "coords": {}
+    },
+    {
+      "index": 6241,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6241.png",
+      "answer": "{y=0,x-y+2=0,x+y+2=0}",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Expression(G) = (y^2 = 8*x);Coordinate(P) = (-2, 0);PointOnCurve(P,l);NumIntersection(l,G)=1",
+      "coords": {
+        "P": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6242,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6242.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F2: Point;A: Point;P: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) =F2;LowerVertex(G)=A;Intersection(LineOf(A,F2),G) ={A,P};Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(P, A))",
+      "coords": {}
+    },
+    {
+      "index": 6243,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6243.png",
+      "answer": "x^2/16 - y^2/9 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/25 + y^2/9 = 1);Focus(G)=Endpoint(MajorAxis(H));Focus(H)=Vertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 6244,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6244.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;P: Point;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(P, G);XCoordinate(P)=2;Distance(P, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6245,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6245.png",
+      "answer": "x^2+2*y^2-8*x-4*y+17=0",
+      "fact_expr": "G: Curve;M: Point;A: Point;P: Point;x1:Number;y1:Number;Expression(G) = (x^2 + 2*y^2 = 4);Coordinate(Z) = (8, 2);Coordinate(M) = (x1, y1);PointOnCurve(M, G);MidPoint(LineSegmentOf(M, A)) = P;Z: Point;A = Z",
+      "coords": {
+        "Z": [
+          8.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6246,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6246.png",
+      "answer": "4/5",
+      "fact_expr": "C: Ellipse;A: Point;P: Point;B: Point;Q: Point;M: Point;N: Point;Expression(C) = (x^2/4 + y^2 = 1);LeftVertex(C) = A;RightVertex(C) = B;PointOnCurve(M, xAxis);L2:Line;PointOnCurve(M,L2);IsPerpendicular(L2,xAxis);Intersection(C, L2) = {P, Q};L1:Line;PointOnCurve(M,L1);IsPerpendicular(L1,LineSegmentOf(A, P));Intersection(L1, LineSegmentOf(B, Q)) = N",
+      "coords": {}
+    },
+    {
+      "index": 6247,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6248,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6248.png",
+      "answer": "3*sqrt(6)",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;O: Origin;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G)={A,B};VectorOf(A, F) = 2*VectorOf(F, B);Area(TriangleOf(O,A,B))=sqrt(3)*Abs(LineSegmentOf(A,B))",
+      "coords": {}
+    },
+    {
+      "index": 6249,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6249.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/3 - y^2 = 1);Expression(H) = (y^2 = 8*x)",
+      "coords": {}
+    },
+    {
+      "index": 6250,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6250.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;p: Number;H: Line;P0: Point;p>0;Expression(G) = (x^2 = 2*(p*y));Expression(H) = (y = x - 5);PointOnCurve(P0, G);Min(Distance(P0, H)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 6251,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6251.png",
+      "answer": "(1, 3]",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C));Max(Abs(LineSegmentOf(P, F1))^2/(4*a^2 + Abs(LineSegmentOf(P, F2))^2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6252,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6252.png",
+      "answer": "(2,+oo)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;M: Point;N: Point;P: Point;F1:Point;l:Line;t:Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (1, 0);RightVertex(C)=F1;Coordinate(P) = (0, -1);PointOnCurve(P,G);Intersection(G,RightPart(C))={M,N};Negation(M=N);Expression(Asymptote(C)) = (y = pm*x);PerpendicularBisector(LineSegmentOf(M,N))=l;Intercept(l,yAxis)=t",
+      "coords": {
+        "F1": [
+          1.0,
+          0.0
+        ],
+        "P": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 6253,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6253.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6254,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6254.png",
+      "answer": "(-3/2, 3/2)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2 = 1);P: Point;a: Number;Coordinate(P) = (a, 0);PointOnCurve(P, xAxis);O: Circle;Center(O) = P;NumIntersection(C, O) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6255,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6255.png",
+      "answer": "x^2-4*y^2=1",
+      "fact_expr": "P: Point;PointOnCurve(P, G) = True;G: Curve;Expression(G) = (x^2/4 - y^2 = 1);O: Origin;M: Point;MidPoint(LineSegmentOf(O, P)) = M",
+      "coords": {}
+    },
+    {
+      "index": 6256,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6256.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (5, 4);Focus(C) = F;PointOnCurve(B, C);WhenMin(Perimeter(TriangleOf(A, B, F)))",
+      "coords": {
+        "A": [
+          5.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6257,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6258,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6258.png",
+      "answer": "(3+2*sqrt(2))/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);F: Point;RightFocus(G) = F;PointOnCurve(F, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 6259,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6259.png",
+      "answer": "-1",
+      "fact_expr": "H: Line;Expression(H) = (a*x - y + 1 = 0);a: Real;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 6260,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6261,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6261.png",
+      "answer": "(pm*5, 0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);WhenMin(Distance(P, F1)*Distance(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6262,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6262.png",
+      "answer": "24",
+      "fact_expr": "M: Parabola;l1:Line;l2:Line;A: Point;C: Point;B: Point;D: Point;F:Point;Expression(M) = (y^2 = 8*x);Focus(M)=F;PointOnCurve(F,l1);PointOnCurve(F,l2);Slope(l1)*Slope(l2)=-2;Intersection(l1,M)={A,C};Intersection(l2,M)={B,D}",
+      "coords": {}
+    },
+    {
+      "index": 6263,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6264,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6264.png",
+      "answer": "y=-1/4",
+      "fact_expr": "C: Parabola;Expression(C) = (y = x^2)",
+      "coords": {}
+    },
+    {
+      "index": 6265,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_6265.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "D: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(D) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(D) = F1;RightFocus(D) = F2;PointOnCurve(P, RightPart(D));Expression(Asymptote(D)) = (y = pm*sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 6266,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6267,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6267.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6268,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6268.png",
+      "answer": "x + 2*y - 8 = 0",
+      "fact_expr": "G: Ellipse;P: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(P) = (4, 2);Z: LineSegment;MidPoint(Z) = P;IsChordOf(Z, G)",
+      "coords": {
+        "P": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6269,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6269.png",
+      "answer": "(-2, -1)",
+      "fact_expr": "H: Line;Expression(H) = (y = x + 1);G: Parabola;Expression(G) = (y^2 = -2*x)",
+      "coords": {}
+    },
+    {
+      "index": 6270,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6270.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6271,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6271.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/10 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6272,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6272.png",
+      "answer": "x=-2",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2/3 = 1);Expression(H) = (y^2 = 2*p*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6273,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6273.png",
+      "answer": "1/3",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;G: Line;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};LineSegmentOf(A, F)/LineSegmentOf(B, F) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6274,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6274.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F2: Point;P: Point;F1: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,LeftPart(G));Abs(LineSegmentOf(P, F1)) = Abs(LineSegmentOf(F1, F2));Distance(F1,LineOf(P,F2)) = sqrt(7)*a;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 6275,
+      "success": false,
+      "error": "Circle from diameter: cannot parse diameter pattern"
+    },
+    {
+      "index": 6276,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6277,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6278,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6278.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;A: Point;Coordinate(A) = (0, 2);l: Line;Directrix(G) = l;B: Point;Intersection(LineSegmentOf(F, A), G) = B;L: Line;PointOnCurve(B, L);IsPerpendicular(L, l);M: Point;FootPoint(L, l) = M;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(M, F))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6279,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6279.png",
+      "answer": "x^2 + y^2/(3/4) = 1",
+      "fact_expr": "G: Circle;P: Point;P0: Point;M: Point;Expression(G) = (x^2 + y^2 = 1);PointOnCurve(P, G);PointOnCurve(P,LineSegmentOf(P,P0));IsPerpendicular(xAxis,LineSegmentOf(P,P0));FootPoint(xAxis,LineSegmentOf(P,P0))=P0;VectorOf(M, P0) = (sqrt(3)/2)*VectorOf(P, P0);Locus(M)=C;C:Curve",
+      "coords": {}
+    },
+    {
+      "index": 6280,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6281,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6281.png",
+      "answer": "b",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6282,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6282.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;B: Point;F: Point;P:Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;RightVertex(G)=A;PointOnCurve(B,G);IsPerpendicular(LineSegmentOf(B,F),xAxis);Intersection(LineOf(A,B),yAxis)=P;VectorOf(A,P)=2*VectorOf(P,B)",
+      "coords": {}
+    },
+    {
+      "index": 6283,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6283.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;B: Point;F: Point;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(G))=F;OneOf(Endpoint(ImageinaryAxis(G)))=B;Intersection(LineSegmentOf(B,F),OneOf(Asymptote(G)))= A;VectorOf(F, A) = 2*VectorOf(A, B)",
+      "coords": {}
+    },
+    {
+      "index": 6284,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6284.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;B: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, H);Intersection(H, G) = {A, B};VectorOf(F, A) = 2*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 6285,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6285.png",
+      "answer": "sqrt(13)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(Asymptote(G)) = (y = pm*x*3/2);e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 6286,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6287,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6287.png",
+      "answer": "{(x+2*y-1=0),(x-2*y+1=0)}",
+      "fact_expr": "A: Point;B: Point;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), LineSegmentOf(A, B)) = True;IsChordOf(LineSegmentOf(A, B), G) = True;LineSegmentOf(A, B) = 20",
+      "coords": {}
+    },
+    {
+      "index": 6288,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6288.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2/4 - y^2/m = 1);Expression(Asymptote(G)) = (y = pm*x*(sqrt(2)/2))",
+      "coords": {}
+    },
+    {
+      "index": 6289,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6290,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6290.png",
+      "answer": "y^2 = -12x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (16*x^2 - 9*y^2 = 144);Vertex(H) = Center(G);Focus(H)=LeftVertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 6291,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6291.png",
+      "answer": "2*sqrt(10)/5",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;Expression(G) = (2*x + y + 1 = 0);Q: Point;Intersection(G, xAxis) = Q;P: Point;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 6292,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6293,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6293.png",
+      "answer": "sqrt(17)/3",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Circle;O: Origin;A: Point;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;Center(G)=F;Radius(G)=a;Intersection(G, OneOf(Asymptote(C))) = {A, B};VectorOf(O, A) = 2*VectorOf(O, B)",
+      "coords": {}
+    },
+    {
+      "index": 6294,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6294.png",
+      "answer": "pi/3, 2*pi/3",
+      "fact_expr": "C: Parabola;F: Point;A: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(A, C);Abs(LineSegmentOf(F, A)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 6295,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6295.png",
+      "answer": "{y^2=4*x,y^2=16*x}",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(H) = (0, 2);Focus(C) = F;PointOnCurve(M, C);Abs(LineSegmentOf(M, F)) = 5;IsDiameter(LineSegmentOf(M, F),G);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6296,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6296.png",
+      "answer": "1/4",
+      "fact_expr": "A: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;B: Point;Coordinate(B) = (x2, y2);x2: Number;y2: Number;C: Parabola;Expression(C) = (x^2 = 2*(p*y));p: Number;p>0;PointOnCurve(A, C) = True;PointOnCurve(B, C) = True;Negation(A=B);Expression(PerpendicularBisector(LineSegmentOf(A,B))) = (y=x+b);b: Number;x1+x2=-1/2",
+      "coords": {}
+    },
+    {
+      "index": 6297,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6297.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Point;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Coordinate(H) = (1, 2);PointOnCurve(H, Asymptote(G))",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6298,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6298.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;PointOnCurve(A, yAxis);B: Point;MidPoint(LineSegmentOf(A, F)) = B;PointOnCurve(B, G)",
+      "coords": {}
+    },
+    {
+      "index": 6299,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6299.png",
+      "answer": "x^2/8+y^2/2=1",
+      "fact_expr": "G: Hyperbola;C: Ellipse;e: Number;Expression(G) = (x^2 - 2*y^2 = 4);Eccentricity(C) = e;e = sqrt(3)/2;Focus(C) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6300,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6300.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Point;I: Point;M:Point;Expression(G) = (y = -x^2/4);Coordinate(H) = (0, -1);Coordinate(I) = (1, -3);PointOnCurve(M,G)",
+      "coords": {
+        "H": [
+          0.0,
+          -1.0
+        ],
+        "I": [
+          1.0,
+          -3.0
+        ]
+      }
+    },
+    {
+      "index": 6301,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_6301.png",
+      "answer": "2",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Focus(H) = RightVertex(G);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 6302,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6303,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6303.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);A: Point;B: Point;Coordinate(A) = (1, 0);Coordinate(B) = (4, 2)",
+      "coords": {
+        "A": [
+          1.0,
+          0.0
+        ],
+        "B": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6304,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6305,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6305.png",
+      "answer": "{pm*1, pm*sqrt(2)}",
+      "fact_expr": "l: Line;C: Hyperbola;k: Number;Expression(C) = (x^2 - y^2 = 1);Expression(l) = (y = k*x + 1);NumIntersection(l, C) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6306,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_6306.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;M: Point;P: Point;l: Line;lambda: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F, l);IsPerpendicular(Asymptote(G), l);FootPoint(Asymptote(G), l) = M;Intersection(l, yAxis) = P;VectorOf(F, M) = lambda*VectorOf(M, P);Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6307,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6307.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(C) = F;G: Circle;Expression(G) = (x^2 + y^2 = b^2);Z1: Line;Z2: Line;TangentOfPoint(F, G) = {Z1, Z2};IsPerpendicular(Z1, Z2)",
+      "coords": {}
+    },
+    {
+      "index": 6308,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6308.png",
+      "answer": "{x+y+1=0, x-y+1=0}",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (-1, 0);WhenMax(Abs(LineSegmentOf(P, A))/Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6309,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6309.png",
+      "answer": "x^2/3 - y^2/12 = 1",
+      "fact_expr": "C: Hyperbola;D: Hyperbola;Expression(C) = (x^2 - y^2/4 = 1);Asymptote(C) = Asymptote(D);P: Point;Coordinate(P) = (2, 2);PointOnCurve(P, D)",
+      "coords": {
+        "P": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6310,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6311,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6311.png",
+      "answer": "{pi/3,2*pi/3}",
+      "fact_expr": "l: Line;C: Parabola;A: Point;F: Point;B: Point;p:Number;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F,l);Intersection(l,C)={A,B};Abs(LineSegmentOf(A, F)) = 3*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 6312,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6312.png",
+      "answer": "0",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;Coordinate(M) = (2*p, 0);H: Line;PointOnCurve(M, H);A: Point;B: Point;Intersection(H, G) = {A, B};O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 6313,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.3166247903554,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6313.png",
+      "answer": "6/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/11 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6314,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6314.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(H, OneOf(Asymptote(G)));H: Point;Coordinate(H) = (1, 2)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6315,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6315.png",
+      "answer": "-8",
+      "fact_expr": "H: Line;Expression(H) = (2*x + y + 4 = 0);G: Parabola;Expression(G) = (y^2 = a*x);a: Real;PointOnCurve(Focus(G),H) = True",
+      "coords": {}
+    },
+    {
+      "index": 6316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6316.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;M: Point;LeftVertex(G) = M;N: Point;UpperVertex(G) = N;F: Point;RightFocus(G) = F;DotProduct(VectorOf(N, M), VectorOf(N, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6317,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6318,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6318.png",
+      "answer": "[4*sqrt(2),+oo)",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(P, F1, F2)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6319,
+      "success": false,
+      "error": "\n= 1 $ $ (a > b > 0) $, the left and right foci are $ F_{1} $ and $\n    ^\nParseException: Expected end of text, found '$'  (at char 4), (line:1, col:5)"
+    },
+    {
+      "index": 6320,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6321,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6322,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6323,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6323.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l)=(2*x+y-3=0);IsParallel(OneOf(Asymptote(C)),l)",
+      "coords": {}
+    },
+    {
+      "index": 6324,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6324.png",
+      "answer": "-3",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6325,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6325.png",
+      "answer": "3*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;C: Point;D: Point;l: Line;Expression(G) = (y^2 = 4*x);Focus(G) = F;Directrix(G) = l;PointOnCurve(F,H);Intersection(H, G) = {A, B};L1:Line;L2:Line;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(L1,l);IsPerpendicular(L2,l);FootPoint(L1,l)=C;FootPoint(L2,l)=D;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 6326,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6326.png",
+      "answer": "3*sqrt(2)/4",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;P: Point;F1: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x*(b/(3*a)));Intersection(H, LeftPart(G)) = P;LeftFocus(G) = F1;IsPerpendicular(LineSegmentOf(P, F1), xAxis);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 6327,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6327.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;O: Origin;A: Point;B: Point;F:Point;RightFocus(G)=F;L1:Line;L2:Line;L3:Line;Asymptote(G)={L2,L3};a > b;b > 0;PointOnCurve(F,L1);Intersection(L1,L2)=A;Intersection(L1,L3)=B;AngleOf(O, A, B) = ApplyUnit(90, degree);Radius(InscribedCircle(TriangleOf(O,A,B)))=a/3",
+      "coords": {}
+    },
+    {
+      "index": 6328,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6329,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6330,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6330.png",
+      "answer": "4*x-y-1=0",
+      "fact_expr": "l: Line;A: Point;Coordinate(A) = (1, 3);G: Curve;Expression(G) = (y = 2*x^2);PointOnCurve(A, l);M: Point;N: Point;Intersection(l, G) = {M, N};MidPoint(LineSegmentOf(M, N)) = A",
+      "coords": {
+        "A": [
+          1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 6331,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6332,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "y",
+        "x_coef": 27.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6332.png",
+      "answer": "y^2/4 - x^2/5 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/27 + y^2/36 = 1);Focus(G) = Focus(H);IsIntersect(G, H) = True;Coordinate(OneOf(Intersection(G, H))) = (sqrt(15), 4)",
+      "coords": {}
+    },
+    {
+      "index": 6333,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6333.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6334,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6334.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 - y^2/3 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);LineSegmentOf(P, F1) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6335,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6335.png",
+      "answer": "{(x-1)^2+y^2=2,(x+1)^2+y^2=2}",
+      "fact_expr": "G: Parabola;H: Line;F: Point;P: Point;Q: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;Intersection(Directrix(G),yAxis)=Q;PointOnCurve(Q,H);TangentPoint(H,G)=P",
+      "coords": {}
+    },
+    {
+      "index": 6336,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6336.png",
+      "answer": "{(x=1),(y=4*x-2)}",
+      "fact_expr": "l: Line;M: Point;Coordinate(M) = (1, 2);PointOnCurve(M, l);G: Parabola;Expression(G) = (y = 2*x^2);NumIntersection(l, G) = 1",
+      "coords": {
+        "M": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6337,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6337.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);PointOnCurve(MidPoint(LineSegmentOf(P, F1)), yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 6338,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6338.png",
+      "answer": "27*sqrt(13)/13",
+      "fact_expr": "G: Hyperbola;Expression(G) = (4*x^2 - 9*y^2 = 36);P: Point;PointOnCurve(P, G);Distance(P, RightFocus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6339,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6339.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Ellipse;a1: Number;b1: Number;F1: Point;P: Point;F2: Point;e1:Number;e2:Number;a1>0;b1>0;Expression(G) = (-y^2/b1^2 + x^2/a1^2 = 1);a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Focus(H)=Focus(G);Focus(H)={F1,F2};Focus(G)={F1,F2};OneOf(Intersection(H, G)) = P;AngleOf(F1, P, F2) = pi/2;Eccentricity(H) = e1;Eccentricity(G) = e2;e1*e2 = 2",
+      "coords": {}
+    },
+    {
+      "index": 6340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6340.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 + (x - sqrt(2))^2 = 1);IsTangent(Asymptote(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 6341,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6342,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6343,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6343.png",
+      "answer": "y=pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6344,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6344.png",
+      "answer": "sqrt(3)+sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;LeftFocus(G) = F1;Slope(H) = sqrt(2);PointOnCurve(F1, H) = True;H: Line;Intersection(H, yAxis) = A;Intersection(H, RightPart(G)) = B;A: Point;B: Point;VectorOf(F1, A) = VectorOf(A, B)",
+      "coords": {}
+    },
+    {
+      "index": 6345,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6345.png",
+      "answer": "2*sqrt(13)",
+      "fact_expr": "C: Hyperbola;b: Number;b>0;Expression(C) = (x^2/4 - y^2/b^2 = 1);Expression(OneOf(Asymptote(C)))=(3*x+2*y=0)",
+      "coords": {}
+    },
+    {
+      "index": 6346,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6346.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x - 1)",
+      "coords": {}
+    },
+    {
+      "index": 6347,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.732385540716972,
+        "b": 2.4497476064802375,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.601017381791051e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_6347.png",
+      "answer": "x^2/3 - y^2/6 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);Focus(G) = {F1, F2};Expression(Asymptote(G)) = (y = pm*(sqrt(2)*x))",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6348,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6348.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;H: Line;F1: Point;P: Point;Q: Point;F2: Point;Expression(C) = (x^2/9 - y^2/8 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F2, H);Intersection(H, RightPart(C)) = {P, Q};AngleOf(F1, P, Q) = ApplyUnit(90, degree);r:Number;Radius(InscribedCircle(TriangleOf(F1,P,Q)))=r",
+      "coords": {}
+    },
+    {
+      "index": 6349,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6349.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(G) = (x^2/3 - y^2 = 1);RightFocus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6350,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6350.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = a*y);a: Number;a>0;Distance(Focus(G), Directrix(G)) = 5/2",
+      "coords": {}
+    },
+    {
+      "index": 6351,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6351.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;Expression(G) = (x^2/3 - 16*y^2/p^2 = 1);Expression(H) = (y^2 = 2*p*x);PointOnCurve(LeftFocus(G),Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 6352,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6352.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6353,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6354,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6355,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6356,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6356.png",
+      "answer": "x^2/4 - y^2/4 = 1",
+      "fact_expr": "C1: Hyperbola;C2: Hyperbola;Vertex(C1) = Vertex(C2);Expression(C1) = (x^2/4 - y^2 = 1);Slope(OneOf(Asymptote(C2))) = 2*Slope(OneOf(Asymptote(C1)))",
+      "coords": {}
+    },
+    {
+      "index": 6357,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6357.png",
+      "answer": "5/4",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p>0;F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G) = True;Intersection(G, C) = {A, B};A: Point;B: Point;4*Abs(LineSegmentOf(A, F)) = Abs(LineSegmentOf(B, F));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 6358,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6358.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (sqrt(3)*x + 3*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6359,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6360,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6360.png",
+      "answer": "x=-1/2",
+      "fact_expr": "C: Parabola;Expression(C) =(y^2 = 2*(p*x));p:Number;p>0;L:Line;Inclination(L)=pi/4;Intersection(L,C)={A,B};A: Point;B: Point;YCoordinate(MidPoint(LineSegmentOf(A,B))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6361,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6361.png",
+      "answer": "[\\sqrt{3}/3,1)",
+      "fact_expr": "F1: Point;F2: Point;Focus(C) = {F1, F2};C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, Directrix(C)) = True;LineSegmentOf(P, F1) = 2*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 6362,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6362.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;B: Point;O: Origin;E: Point;k1: Number;k2: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Negation(PointOnCurve(O, l));Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = E;Slope(LineOf(A, B)) = k1;Slope(LineOf(O, E)) = k2;k1*k2 = -1/2",
+      "coords": {}
+    },
+    {
+      "index": 6363,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6364,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6364.png",
+      "answer": "y^2/4 + x^2 = 1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;H:LineSegment;a > b;b > 0;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);Coordinate(A) = (1, 0);RightVertex(G)=A;PointOnCurve(Focus(G),H);IsPerpendicular(H,MajorAxis(G));Length(H)=1;IsChordOf(l,G)",
+      "coords": {
+        "A": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6365,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6365.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6366,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6366.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;F: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(F, H);Slope(H) = sqrt(3);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) > Abs(LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 6367,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6368,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6368.png",
+      "answer": "(-11/7, 24/7)",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2/8 = 1);Coordinate(A) = (0, 36/5);RightFocus(C) = F;PointOnCurve(P, LeftPart(C));WhenMin(Perimeter(TriangleOf(A,P,F)))",
+      "coords": {
+        "A": [
+          0.0,
+          7.2
+        ]
+      }
+    },
+    {
+      "index": 6369,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6370,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6371,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_6371.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;G: Point;Coordinate(G) = (sqrt(2), 3);PointOnCurve(G, C) = True;Expression(Asymptote(C)) = (y = pm*sqrt(3)*x)",
+      "coords": {
+        "G": [
+          1.4142135623730951,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 6372,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6372.png",
+      "answer": "x^2/5 - y^2/4 = 1",
+      "fact_expr": "O: Origin;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = (3*sqrt(5))/5;F: Point;RightFocus(C) = F;L: Line;PointOnCurve(F, L);IsPerpendicular(L, Asymptote(C));A: Point;FootPoint(L, Asymptote(C)) = A;Area(TriangleOf(A, F, O)) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 6373,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6373.png",
+      "answer": "6",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);l1: Line;Directrix(C) = l1;P: Point;PointOnCurve(P, C);l2: Line;Expression(l2) = (3*x - 4*y + 24 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6374,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6374.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);M: Point;N: Point;Quadrant(M) = 1;Intersection(l, C) = {M, N};VectorOf(M, N) = 3*VectorOf(F, N)",
+      "coords": {}
+    },
+    {
+      "index": 6375,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_6375.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2 - y^2/b^2 = 1);Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 6376,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6376.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G);AngleOf(P, F1, F2) = pi/6;AngleOf(P, F2, F1) = pi/3;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 6377,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6377.png",
+      "answer": "26",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;l: Line;PointOnCurve(F2,l) = True;Intersection(l, RightPart(G)) = {A, B};A: Point;B: Point;Abs(LineSegmentOf(A, B)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6378,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_6378.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/m = 1);m: Number;Eccentricity(G) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 6379,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6379.png",
+      "answer": "12",
+      "fact_expr": "C: Hyperbola;A: Point;M: Point;F: Point;Expression(C) = (x^2/8 - y^2/8 = 1);Coordinate(A) = (0, 4);LeftFocus(C) = F;PointOnCurve(M, RightPart(C));WhenMin(Perimeter(TriangleOf(M,A,F)))",
+      "coords": {
+        "A": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6380,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_6380.png",
+      "answer": "(pm*sqrt(5)/2, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (y = 2*x);Length(ImageinaryAxis(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6381,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6382,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6382.png",
+      "answer": "(x-1)^2+(y-3)^2=8",
+      "fact_expr": "l: Line;Expression(l) = (x-y-2=0);M: Point;Coordinate(M) = (3, 1);H: Circle;TangentPoint(l, H) = M;G: Parabola;Expression(G) = (y^2 = -4*x);PointOnCurve(Center(H), Directrix(G))",
+      "coords": {
+        "M": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6383,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6384,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6384.png",
+      "answer": "pm*2",
+      "fact_expr": "G: Parabola;p: Number;P: Point;p>0;Expression(G)=(x^2 = 2*p*y);Coordinate(P)=(t,1);PointOnCurve(P,G);Distance(P,Directrix(G))=2;t:Number",
+      "coords": {}
+    },
+    {
+      "index": 6385,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6385.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P:Point;F:Point;Expression(G) = (y^2 = 8*x);Focus(G)=F;PointOnCurve(P,G);XCoordinate(P)=1",
+      "coords": {}
+    },
+    {
+      "index": 6386,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6386.png",
+      "answer": "-32",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/k = 1);k: Number;e: Number;Eccentricity(G) = e;e = 3",
+      "coords": {}
+    },
+    {
+      "index": 6387,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6388,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6388.png",
+      "answer": "4/3",
+      "fact_expr": "C: Ellipse;F1: Point;A: Point;B: Point;F2: Point;Expression(C) = (x^2/2 + y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;UpperVertex(C) = A;Intersection(LineOf(A,F1),C)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 6389,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6390,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6390.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;O: Origin;e: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, C);LeftFocus(C)=F1;IsParallel(LineSegmentOf(P, F1), Asymptote(C));Abs(LineSegmentOf(P, O)) = Abs(LineSegmentOf(F1, O));Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 6391,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6391.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;I: Curve;Expression(I) = And((4*x^2 - 3*y^2/4 = 1), (y > 0));Intersection(Directrix(G), I) = P;P: Point;F: Point;Focus(G) = F;Inclination(LineOf(P,F)) = ApplyUnit(135, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6392,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6392.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;Coordinate(P) = (m, n);m: Number;n: Number;PointOnCurve(P, G) = True;F: Point;Focus(G) = F;Distance(P, F) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6393,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6393.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;A: Point;M: Point;F: Point;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0, b);RightFocus(E) = F;PointOnCurve(M, E);Max(Perimeter(TriangleOf(A, M, F))) = 6*b",
+      "coords": {}
+    },
+    {
+      "index": 6394,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_6394.png",
+      "answer": "y^2/15 - x^2/12 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (y = x*(sqrt(5)/2));G: Point;Coordinate(G) = (2, 2*sqrt(5));PointOnCurve(G,C) = True",
+      "coords": {
+        "G": [
+          2.0,
+          4.47213595499958
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 6395,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6395.png",
+      "answer": "(1,-2)",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(Q) = (2, -2);PointOnCurve(P, G);WhenMin(Distance(P,Q)+Distance(P,Focus(G)))",
+      "coords": {
+        "Q": [
+          2.0,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 6396,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6396.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;l1: Line;l2: Line;A: Point;B: Point;C: Point;D: Point;PointOnCurve(F, l1);PointOnCurve(F, l2);Intersection(l1, G) = {A, B};Intersection(l2, G) = {C, D};k1: Number;k2: Number;Slope(l1) = k1;Slope(l2) = k2;k1^2+k2^2 = 2",
+      "coords": {}
+    },
+    {
+      "index": 6397,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6397.png",
+      "answer": "(0,1/8)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 6398,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6398.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;A: Point;PointOnCurve(A, RightPart(C)) = True;Intersection(LineSegmentOf(A, F1), C) = B;B: Point;DotProduct(VectorOf(F2, A), VectorOf(F2, B)) = 0;Abs(VectorOf(F2, A)) = Abs(VectorOf(F2, B))",
+      "coords": {}
+    },
+    {
+      "index": 6399,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6400,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6401,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6402,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6402.png",
+      "answer": "[-9/20,9/20]",
+      "fact_expr": "E: Ellipse;G: Line;k: Number;Q: Point;P: Point;l:Line;Expression(E) = (x^2/4 + y^2 = 1);Expression(G) = (y = k*x - 3/5);Intersection(G, E) = {P, Q};PerpendicularBisector(LineSegmentOf(P,Q))=l",
+      "coords": {}
+    },
+    {
+      "index": 6403,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.2352789464429823,
+        "b": 2.2352789464429823,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4312591569844774e-06,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_6403.png",
+      "answer": "x^2/8 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-sqrt(10), 0);Coordinate(F2) = (sqrt(10), 0);Expression(Asymptote(G)) = (y = pm*(x/2));Focus(G) = {F1, F2}",
+      "coords": {
+        "F1": [
+          -3.1622776601683795,
+          0.0
+        ],
+        "F2": [
+          3.1622776601683795,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6404,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6404.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6405,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6405.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 3*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};O: Origin;D: Point;Intersection(LineOf(O, A), Directrix(C)) = D",
+      "coords": {}
+    },
+    {
+      "index": 6406,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6406.png",
+      "answer": "8",
+      "fact_expr": "E: Parabola;P: Point;A: Point;B: Point;l1: Line;l2: Line;Expression(E) = (x^2 = 4*y);Coordinate(P) = (2, -1);TangentOfPoint(P, E) = {l1, l2};TangentPoint(l1, E) = A;TangentPoint(l2, E) = B",
+      "coords": {
+        "P": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 6407,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6407.png",
+      "answer": "17/2",
+      "fact_expr": "W: Parabola;Expression(W) = (x^2 = 8*y);F: Point;Focus(W) = F;l: Line;PointOnCurve(F,l) = True;Intersection(l, W) = {A, B};A: Point;B: Point;l1: Line;Expression(l1) = (x-2*y-4=0);WhenMin(Distance(A,l1) + Distance(B,l1)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6408,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6408.png",
+      "answer": "{1, 16}",
+      "fact_expr": "E: Ellipse;m: Number;e: Number;Expression(E) = (x^2/4 + y^2/m = 1);Eccentricity(E) = e ;e = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 6409,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6410,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6410.png",
+      "answer": "2*sqrt(3)",
+      "fact_expr": "C: Parabola;E: Ellipse;A: Point;B: Point;O:Origin;Expression(C) = (y^2 = 4*x);Center(E)=O;RightFocus(E) = Focus(C);Intersection(E, Directrix(C)) = {A, B};LineSegmentOf(A, B) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6411,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6411.png",
+      "answer": "x^2/4+y^2/3=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;LeftFocus(G) = F;Distance(UpperVertex(G), Focus(G)) = 2;e: Number;Eccentricity(G) = e;e = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 6412,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6412.png",
+      "answer": "3\n8\n6/5",
+      "fact_expr": "F1: Point;F2: Point;Focus(G) = {F1, F2};G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, G);Distance(P, F1) = 1;H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, G) = {A, B};AngleOf(P, F1, F2) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6413,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6413.png",
+      "answer": "24/7",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(RightFocus(G),l);Intersection(l, G) = {A, B};Coordinate(M) = (4/7, -3/7);MidPoint(LineSegmentOf(A, B)) = M;IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {
+        "M": [
+          0.5714285714285714,
+          -0.42857142857142855
+        ]
+      }
+    },
+    {
+      "index": 6414,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6415,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6415.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;F2: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G)={F1,F2};PointOnCurve(F1, H);Intersection(H, G) = {P, Q}",
+      "coords": {}
+    },
+    {
+      "index": 6416,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6417,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6417.png",
+      "answer": "[-1,17/8]",
+      "fact_expr": "G: Parabola;H: Ellipse;a: Real;Expression(G) = (x^2 = 2*y);Expression(H) = (x^2 + 4*(-a + y)^2 = 4);IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 6418,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6418.png",
+      "answer": "[2*sqrt(2),4)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;PointOnCurve(P, C);M: Circle;Expression(M) = (y^2 + (x - 3)^2 = 4);L1: Line;L2: Line;TangentOfPoint(P, M) = {L1, L2};TangentPoint(L1, M) = A;TangentPoint(L2, M) = B;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 6419,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6419.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(G) = {F1, F2};Z: Line;PointOnCurve(F2, Z);IsPerpendicular(Z, xAxis);A: Point;B: Point;Intersection(Z, G) = {A, B};Radius(InscribedCircle(TriangleOf(A, B, F1))) = a",
+      "coords": {}
+    },
+    {
+      "index": 6420,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6421,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6421.png",
+      "answer": "6-sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/5 = 1);F1: Point;LeftFocus(G) = F1;P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (1, 1)",
+      "coords": {
+        "A": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6422,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6423,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6423.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;F2: Point;F1: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};IsDiameter(LineSegmentOf(F1,F2),H);OneOf(Intersection(H,G))=P;LineSegmentOf(P, F1) = 2*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 6424,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6424.png",
+      "answer": "7*sqrt(2)/8",
+      "fact_expr": "G: Parabola;H: Line;P0: Point;Expression(G) = (y = x^2);Expression(H) = (x - y - 2 = 0);PointOnCurve(P0, G)",
+      "coords": {}
+    },
+    {
+      "index": 6425,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6425.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (y=2*x);IsPerpendicular(l,OneOf(Asymptote(G)));Distance(RightFocus(G),l)=2",
+      "coords": {}
+    },
+    {
+      "index": 6426,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6426.png",
+      "answer": "[0, 12]",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;P: Point;F: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;LeftFocus(G) = F;PointOnCurve(P, G);Distance(UpperVertex(G), Focus(G))=2;Eccentricity(G) = e;e = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 6427,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6427.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6428,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_6428.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 6429,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6429.png",
+      "answer": "16 + pm*8*sqrt(3)",
+      "fact_expr": "C: Parabola;p: Number;B: Point;F: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(Directrix(C)) = (x = -2);Focus(C) = F;Intersection(Directrix(C), xAxis) = A;PointOnCurve(B, C);sqrt(5)*Abs(LineSegmentOf(B, F)) = 2*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 6430,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6430.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = 1);Coordinate(A) = (3, 4);PointOnCurve(P, G);Distance(P, H) = d;d:Number",
+      "coords": {
+        "A": [
+          3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6431,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6431.png",
+      "answer": "(-16/5,16/5)",
+      "fact_expr": "G: Ellipse;A: Point;C: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Coordinate(A) = (x1, y1);Coordinate(C) = (x2, y2);x1:Number;y1:Number;x2:Number;y2:Number;PointOnCurve(A, G);PointOnCurve(B, G);x1 + x2 = 8;Expression(PerpendicularBisector(LineSegmentOf(A, C))) = (y = k*x + m);k:Number;m:Number",
+      "coords": {}
+    },
+    {
+      "index": 6432,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6433,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6434,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6434.png",
+      "answer": "[1/3, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);Abs(LineSegmentOf(P,F1))=2*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 6435,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6436,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6436.png",
+      "answer": "(6, pm*6*sqrt(2))",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x);P:Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 6437,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6437.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Circle;P: Point;Q: Point;F: Point;Expression(G) = (y^2 = 4*x);Expression(H) = ((x - 2)^2 + (y - 1)^2 = 1);Focus(G) = F;PointOnCurve(P, G);PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 6438,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6438.png",
+      "answer": "[1, 7]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);P: Point;PointOnCurve(P, G);F: Point;LeftFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 6439,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6440,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6440.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;M: Point;Intersection(Directrix(G), yAxis) = M;N: Point;PointOnCurve(N, G);Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 6441,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6441.png",
+      "answer": "-1",
+      "fact_expr": "F: Point;RightFocus(G) = F;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, G) = True;A: Point;PointOnCurve(A, H) = True;H: Line;Expression(H) = (3*x - 4*y - 12 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6442,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6442.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "l: Line;G: Ellipse;b: Number;a: Number;B: Point;A: Point;F: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(MidPoint(LineSegmentOf(A,B))) = (-3, 1);Coordinate(F) = (-4, 0);OneOf(Focus(G)) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B}",
+      "coords": {
+        "F": [
+          -4.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6443,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_6443.png",
+      "answer": "(5,0)",
+      "fact_expr": "G: Hyperbola;a: Number;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);Eccentricity(G) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 6444,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6444.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;M: Point;N: Point;PointOnCurve(M, Asymptote(C));PointOnCurve(N, LeftPart(C));WhenMin(Abs(LineSegmentOf(M,N))+Abs(LineSegmentOf(N,F2)))",
+      "coords": {}
+    },
+    {
+      "index": 6445,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6445.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;A: Point;B: Point;C: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(Vertex(TriangleOf(A, B, C)), G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6446,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6446.png",
+      "answer": "x \\pm 2y = 0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6447,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6447.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/2 + y^2/3 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G) = True ;PointOnCurve(F1,LineSegmentOf(A,B)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6448,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6448.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6449,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6449.png",
+      "answer": "(1, \\sqrt{5})",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Line;PointOnCurve(RightFocus(E), G);Slope(G) = 2;NumIntersection(G, RightPart(E)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6450,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6450.png",
+      "answer": "x^2=16*y",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;Eccentricity(C1) = 2;C2: Parabola;Expression(C2) = (x^2 = 2*(p*y));p: Number;p>0;Distance(Focus(C2), Asymptote(C1)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6451,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6451.png",
+      "answer": "y^2=2*x",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;Expression(l) = (x = 2);P: Point;Q: Point;Intersection(l, C) = {P, Q};O: Origin;IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(O, Q))",
+      "coords": {}
+    },
+    {
+      "index": 6452,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_6452.png",
+      "answer": "{3/2, 8/3}",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/2 + y^2/m = 1);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 6453,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6453.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;B: Point;Z: Line;Expression(G) = (y^2 = 8*x);Expression(H) = (x = -2);Coordinate(A) = (5, 0);PointOnCurve(P, G);PointOnCurve(P, Z);IsPerpendicular(H, Z);FootPoint(H, Z) = B;Abs(LineSegmentOf(P, B)) = Abs(LineSegmentOf(P, A))",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6454,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6454.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;Q: Point;F2: Point;F1: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1,LineSegmentOf(P, Q));IsChordOf(LineSegmentOf(P, Q),G);Inclination(LineSegmentOf(P,Q))=ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6455,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6456,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_6456.png",
+      "answer": "x^2/(2/3)-y^2/2=1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (1, 1);Expression(Asymptote(G)) = (y = pm*sqrt(3)*x);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 6457,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6457.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;P: Point;Expression(G) = (x^2/4 - y^2/5 = 1);Coordinate(A) = (3, 0);Coordinate(B) = (9, 5);PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          3.0,
+          0.0
+        ],
+        "B": [
+          9.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 6458,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6459,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6459.png",
+      "answer": "(a+b)/2",
+      "fact_expr": "C: Parabola;p: Number;p>0;Expression(C) = (y^2 = 2*p*x);A:Point;B:Point;M:Point;a:Number;b:Number;Negation(a*b=0);PointOnCurve(A,C);PointOnCurve(B,C);YCoordinate(A)=a;YCoordinate(B)=b;Negation(A=B);Intersection(TangentOnPoint(A,C),TangentOnPoint(B,C))=M",
+      "coords": {}
+    },
+    {
+      "index": 6460,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_6460.png",
+      "answer": "x^2/5 - y^2/20 = 1",
+      "fact_expr": "G: Hyperbola;PointOnCurve(Focus(G), xAxis);Expression(OneOf(Asymptote(G))) = (y = 2*x);FocalLength(G) = 10",
+      "coords": {}
+    },
+    {
+      "index": 6461,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6461.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;M: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G)=F;PointOnCurve(M,G);Coordinate(A) = ((7/2)*p, 0);Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(M, F));Area(TriangleOf(A,M,F))=27*sqrt(2)/2",
+      "coords": {}
+    },
+    {
+      "index": 6462,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6463,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6463.png",
+      "answer": "9/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x);H: Line;I: Point;Coordinate(I) = (1/4, 0);PointOnCurve(I, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;IsChordOf(LineSegmentOf(A, B), G);L: Line;Expression(L) = (x + 1/2 = 0)",
+      "coords": {
+        "I": [
+          0.25,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6464,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6464.png",
+      "answer": "(p/2, p)",
+      "fact_expr": "M: Point;PointOnCurve(M, C);C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;Coordinate(A) = (p, p);F: Point;Coordinate(F) = (p/2, 0);WhenMin(Distance(M, A) + Distance(M, F))",
+      "coords": {}
+    },
+    {
+      "index": 6465,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6465.png",
+      "answer": "1",
+      "fact_expr": "l: Line;C: Parabola;M: Point;A: Point;B: Point;F: Point;k: Number;Expression(C) = (y^2 = 4*x);Coordinate(M) = (-1, 2);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0;Slope(l) = k",
+      "coords": {
+        "M": [
+          -1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6466,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6466.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6467,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6468,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6468.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 6469,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6470,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6470.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;O: Origin;P: Point;Q: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(A, xAxis);Negation(A = O);Center(G) = A;Intersection(G, Asymptote(C)) = {P, Q};VectorOf(O, P) = 3*VectorOf(O, Q);DotProduct(VectorOf(A, P), VectorOf(A, Q)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6471,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6472,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6473,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6474,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6475,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6475.png",
+      "answer": "x^2/3 - y^2/5 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;I: Point;Expression(H) = (x^2/8 + y^2/5 = 1);Coordinate(I) = (3, sqrt(10));PointOnCurve(I, G);Endpoint(MajorAxis(H))=Focus(G)",
+      "coords": {
+        "I": [
+          3.0,
+          3.1622776601683795
+        ]
+      }
+    },
+    {
+      "index": 6476,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6477,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6477.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "l: Line;Expression(l) = (x - y = 0);G: Ellipse;Expression(G) = (x^2/2 + y^2 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;PointOnCurve(C, G)",
+      "coords": {}
+    },
+    {
+      "index": 6478,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6479,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6479.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;p: Number;H: Line;E: Point;B: Point;A: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(E) = (-p/2, 0);PointOnCurve(E, H);Intersection(H, G) = {A, B};Focus(G) = F;MidPoint(LineSegmentOf(E,B)) = A;Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6480,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6480.png",
+      "answer": "(2*sqrt(3), sqrt(3))",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;F: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(A) = (-2, sqrt(3));RightFocus(G) = F;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A)) + 2*Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 6481,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6482,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6482.png",
+      "answer": "x=1/2",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2/3 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6483,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6484,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6485,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6485.png",
+      "answer": "5/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;M: Point;A: Point;LeftVertex(C)=A;F: Point;RightFocus(C)=F;PointOnCurve(F,l);IsPerpendicular(l, OneOf(Asymptote(C)));FootPoint(l,OneOf(Asymptote(C))) = M;Tan(AngleOf(M, A, F)) = 1/2;l:Line",
+      "coords": {}
+    },
+    {
+      "index": 6486,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6487,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6488,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6489,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6490,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6490.png",
+      "answer": "[(sqrt(5)-1)/2,1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/a^2 + y^2/b^2 = 1);a: Number;b: Number;a > b;b > 0;F: Point;c:Number;Coordinate(F) = (c, 0);RightFocus(G) = F;l: Line;Intersection(l,G) = {A,B};A: Point;B: Point;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B)) = True;PointOnCurve(F, l) = True;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 6491,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6492,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6492.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2 + y^2/4 = 1);L1:Line;L2: Line;Asymptote(G) = {L1,L2};H: Parabola;Expression(H) = (y^2 = 2*p*x);p: Number;p>0;Intersection(L1, Directrix(H)) = A;Intersection(L2, Directrix(H)) = B;A: Point;O: Origin;B: Point;Area(TriangleOf(A, O, B)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6493,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6493.png",
+      "answer": "x^2/2 - y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;F: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);OneOf(Focus(G)) = F;PointOnCurve(F, H);Slope(H) = 1;NumIntersection(H, G) = 1",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6494,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6494.png",
+      "answer": "ApplyUnit(30, degree)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;Intersection(Directrix(G),xAxis) = M;M: Point;PointOnCurve(N,G);N: Point;Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 6495,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6495.png",
+      "answer": "6+3*sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (x^2 + 4*y^2 = 36);PointOnCurve(P, G);LeftFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 6496,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6497,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6497.png",
+      "answer": "2*sqrt(2)/3",
+      "fact_expr": "C: Parabola;G: Line;F: Point;A: Point;B: Point;k:Number;Expression(C) = (y^2 = 8*x);k>0;Expression(G) = (y = k*(x + 2));Intersection(G, C) = {A, B};Focus(C) = F;Abs(LineSegmentOf(F, A)) = 2*Abs(LineSegmentOf(F, B))",
+      "coords": {}
+    },
+    {
+      "index": 6498,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6498.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);IsPerpendicular(H,xAxis);Intersection(H, G) = {A, B};Length(LineSegmentOf(A, B)) = 4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6499,
+      "success": false,
+      "error": "\n$ $ (a > b > 0) $ with eccentricity $ e $, the line $ l $: $ y = e x +\n^\nParseException: Expected end of text, found '$'  (at char 0), (line:1, col:1)"
+    },
+    {
+      "index": 6500,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6500.png",
+      "answer": "4/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;PointOnCurve(F, l) = True;l: Line;Intersection(l, C) = {P, Q};P: Point;Q: Point;Intersection(Directrix(C), l) = M;M: Point;VectorOf(F, M) = 3*VectorOf(F, P)",
+      "coords": {}
+    },
+    {
+      "index": 6501,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6502,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6503,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6503.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;m: Number;F: Point;Expression(G) = (-x^2/9 + y^2/m = 1);Coordinate(F) = (0, 5);OneOf(Focus(G)) = F",
+      "coords": {
+        "F": [
+          0.0,
+          5.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6504,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6504.png",
+      "answer": "{11,29}",
+      "fact_expr": "G: Ellipse;k: Number;Expression(G) = (x^2/20 + y^2/k = 1);FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6505,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6505.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x - y - 2 = 0);PointOnCurve(OneOf(Focus(C)), G);IsPerpendicular(G, OneOf(Asymptote(C)))",
+      "coords": {}
+    },
+    {
+      "index": 6506,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6506.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;Q: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,Asymptote(G));Quadrant(P)=1;PointOnCurve(Q,G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;VectorOf(P,F2)=4*VectorOf(P,Q)",
+      "coords": {}
+    },
+    {
+      "index": 6507,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6507.png",
+      "answer": "{2, 6}",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;Directrix(G) = l;C: Circle;Expression(C) = ((x-a)^2 + (y-2*sqrt(3))^2 = 16);PointOnCurve(F, C);IsTangent(C, l)",
+      "coords": {}
+    },
+    {
+      "index": 6508,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6508.png",
+      "answer": "12",
+      "fact_expr": "l: Line;G: Hyperbola;P: Point;F1:Point;F2: Point;Q: Point;Expression(G) = (x^2 - y^2/4 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(F1, l);Intersection(l, LeftPart(G)) = {P, Q};Abs(LineSegmentOf(P, Q)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6509,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "major_axis": "x",
+        "x_coef": 1.0,
+        "y_coef": 0.5
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6509.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2 + 2*y^2 = 1);Vertex(G) = Center(H);Focus(G) = RightVertex(H);G: Parabola",
+      "coords": {}
+    },
+    {
+      "index": 6510,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6510.png",
+      "answer": "1\n2",
+      "fact_expr": "C1: Hyperbola;C2: Hyperbola;F: Point;a:Number;b:Number;a>0;b>0;Expression(C1) = (x^2/a^2-y^2/b^2=1);Expression(C2) = (x^2/4-y^2/16=1);Asymptote(C1)=Asymptote(C2);RightFocus(C1)=F;Coordinate(F) = (sqrt(5), 0)",
+      "coords": {
+        "F": [
+          2.23606797749979,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6511,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6511.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C1: Curve;C2: Curve;P: Point;F1: Point;F2: Point;Expression(C1) = (x^2/6 + y^2/2 = 1);Expression(C2) = (x^2/3 - y^2 = 1);Focus(C1) = {F1, F2};OneOf(Intersection(C1, C2)) = P",
+      "coords": {}
+    },
+    {
+      "index": 6512,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6512.png",
+      "answer": "[1,7]",
+      "fact_expr": "G: Ellipse;P: Point;F: Point;Expression(G) = (x^2/16 + y^2/7 = 1);PointOnCurve(P, G);LeftFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 6513,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6513.png",
+      "answer": "(26/3, -1)",
+      "fact_expr": "P: Point;Coordinate(P) = (1, -1);G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);F: Point;RightFocus(G) = F;M: Point;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(M, P)) + 2*Abs(LineSegmentOf(M, F)))",
+      "coords": {
+        "P": [
+          1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 6514,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6514.png",
+      "answer": "9*x + 4*y - 13 = 0",
+      "fact_expr": "l: Line;C: Curve;A: Point;B: Point;M: Point;Expression(C) = (x^2/4 + y^2/9 = 1);Coordinate(M) = (1, 1);PointOnCurve(M, l);Intersection(l, C) = {A, B};IsChordOf(LineSegmentOf(A, B), C);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6515,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6515.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;Expression(G) = (-y^2/2 + x^2/a^2 = 1);a: Number;a>0;Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6516,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6516.png",
+      "answer": "[1/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2:Point;P: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6517,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6518,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6519,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6519.png",
+      "answer": "3/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;x0:Number;P: Point;F1: Point;F2: Point;G: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;Coordinate(P)=(x0,5/2);PointOnCurve(P, C);Radius(InscribedCircle(TriangleOf(P,F1,F2)))=1;Center(InscribedCircle(TriangleOf(P,F1,F2)))=G;Distance(G, O) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 6520,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6520.png",
+      "answer": "y^2=(x-1)/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);P: Point;PointOnCurve(P,G) = True",
+      "coords": {}
+    },
+    {
+      "index": 6521,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6521.png",
+      "answer": "8/5",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);LineSegmentOf(P, F1) = 5*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 6522,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6523,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6523.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;P: Point;F: Point;b: Number;a: Number;L: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;PointOnCurve(F,L);IsPerpendicular(L,Asymptote(G));FootPoint(L,Asymptote(G))=P;PointOnCurve(MidPoint(LineSegmentOf(P, F)), G)",
+      "coords": {}
+    },
+    {
+      "index": 6524,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6524.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "Focus(C1) = Focus(C2);C1: Hyperbola;C2: Hyperbola;Expression(C1) = (x^2/3 - y^2 = 1);Inclination(OneOf(Asymptote(C2))) = Inclination(OneOf(Asymptote(C1)))*2",
+      "coords": {}
+    },
+    {
+      "index": 6525,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6526,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6526.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 6527,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6527.png",
+      "answer": "{4, 9/4}",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/3 + x^2/m = 1);m: Number;m>0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;Quadrant(P) = 1;PointOnCurve(P, G);(Sin(AngleOf(P, F1, F2)) + Sin(AngleOf(P, F2, F1)))/Sin(AngleOf(F1, P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6528,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6528.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;b: Number;H: Parabola;Expression(G) = (x^2/4 - y^2/b^2 = 1);Expression(H) = (y^2 = 8*sqrt(2)*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6529,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6529.png",
+      "answer": "sqrt(13)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;G: Line;Expression(G) = (2*x - 3*y = 0);OneOf(Asymptote(C)) = G",
+      "coords": {}
+    },
+    {
+      "index": 6530,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6531,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6531.png",
+      "answer": "(0,1)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/4)",
+      "coords": {}
+    },
+    {
+      "index": 6532,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6532.png",
+      "answer": "4",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Focus(C)={F1,F2};PointOnCurve(P,C)",
+      "coords": {}
+    },
+    {
+      "index": 6533,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6533.png",
+      "answer": "y^2/3 - x^2/6 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2/2 - y^2 = 1);Coordinate(H) = (sqrt(2), -2);Asymptote(G)=Asymptote(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          1.4142135623730951,
+          -2.0
+        ]
+      }
+    },
+    {
+      "index": 6534,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6534.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -1);Coordinate(A) = (-1, 1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6535,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6535.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "C: Hyperbola;G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);Focus(C) = Endpoint(MajorAxis(G));Endpoint(RealAxis(C)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6536,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6537,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6538,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6538.png",
+      "answer": "sqrt(13)/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;AngleOf(F1, P, F2) = ApplyUnit(120, degree);Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6539,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6539.png",
+      "answer": "(1,2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 6540,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6540.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);l: Line;PointOnCurve(Focus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6541,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6541.png",
+      "answer": "pm*1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;A1: Point;B: Point;A2: Point;C: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F;LeftVertex(G) = A1;RightVertex(G) = A2;L:Line;PointOnCurve(F,L);IsPerpendicular(L,xAxis);Intersection(L,G)={B,C};IsPerpendicular(LineSegmentOf(A1, B), LineSegmentOf(A2, C))",
+      "coords": {}
+    },
+    {
+      "index": 6542,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_6542.png",
+      "answer": "(pm*2,0)\nsqrt(3)*x+pm*y=0",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);Eccentricity(G) = 2;OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6543,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6544,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6544.png",
+      "answer": "2*a^2*b^2/a^2+b^2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Origin;P: Point;Q: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P,G);PointOnCurve(Q,G);IsPerpendicular(LineSegmentOf(O, P), LineSegmentOf(O, Q))",
+      "coords": {}
+    },
+    {
+      "index": 6545,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6545.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;B: Point;C: Point;PointOnCurve(A, G);PointOnCurve(B, G);PointOnCurve(C, G);VectorOf(F, A) + VectorOf(F, B) + VectorOf(F, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6546,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6547,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6548,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6548.png",
+      "answer": "(pm*sqrt(2),0)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6549,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6549.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/12 = 1);F: Point;LeftFocus(G) = F;A: Point;Coordinate(A) = (1, 4);P: Point;PointOnCurve(P, RightPart(G))",
+      "coords": {
+        "A": [
+          1.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6550,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6550.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/3 + y^2/2 = 1);F: Point;RightFocus(C) = F;P: Point;PointOnCurve(P, C);A: Point;Coordinate(A) = (1, 2*sqrt(2))",
+      "coords": {
+        "A": [
+          1.0,
+          2.8284271247461903
+        ]
+      }
+    },
+    {
+      "index": 6551,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6551.png",
+      "answer": "25/3, 3",
+      "fact_expr": "G: Ellipse;k: Real;Expression(G) = (x^2/5 + y^2/k = 1);Eccentricity(G) = e ;e: Number;e= sqrt(10)/5",
+      "coords": {}
+    },
+    {
+      "index": 6552,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6552.png",
+      "answer": "(pm*2, 0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6553,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6553.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Q: Point;Expression(C) = (y^2 = 16*x);Focus(C) = F;PointOnCurve(P, C);Intersection(OverlappingLine(LineSegmentOf(P,F)),yAxis)=Q;VectorOf(P,F)=(2/3)*VectorOf(P,Q)",
+      "coords": {}
+    },
+    {
+      "index": 6554,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6554.png",
+      "answer": "{2, 22}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/25 - y^2/9 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1=F2);Distance(P, F1) = 12",
+      "coords": {}
+    },
+    {
+      "index": 6555,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_6555.png",
+      "answer": "32",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (y^2/2 + x^2/m = 1);PointOnCurve(Focus(G), yAxis);Eccentricity(G) = 1/2",
+      "coords": {},
+      "validation_reasons": [
+        "ellipse_ecc_mismatch"
+      ]
+    },
+    {
+      "index": 6556,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6556.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 6557,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6557.png",
+      "answer": "x^2/9+y^2/6=1",
+      "fact_expr": "G: Ellipse;m: Number;0 < m;m < 3;Expression(G) = (x^2/9 + y^2/m^2 = 1);Eccentricity(G) = sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 6558,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6558.png",
+      "answer": "-3/4",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;A: Point;Coordinate(A) = (-2, 3);PointOnCurve(A, Directrix(C));F: Point;Focus(C) = F",
+      "coords": {
+        "A": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 6559,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6559.png",
+      "answer": "x^2/10 - y^2/40 = 1",
+      "fact_expr": "G: Hyperbola;C:Hyperbola;H: Point;Expression(G) = (x^2/5 - y^2/20 = 1);Coordinate(H) = (-5, 2*sqrt(15));PointOnCurve(H, C);Asymptote(G)=Asymptote(C)",
+      "coords": {
+        "H": [
+          -5.0,
+          7.745966692414834
+        ]
+      }
+    },
+    {
+      "index": 6560,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6560.png",
+      "answer": "ApplyUnit(120,degree)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/9 + y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6561,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6561.png",
+      "answer": "y^2=2*x",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;p>0;x0:Number;y0:Number;x0>p/2;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (x0,y0);Focus(G)=F;PointOnCurve(A,G);L:Line;PointOnCurve(A,L);IsPerpendicular(L,Directrix(G));FootPoint(L,Directrix(G))=B;Abs(LineSegmentOf(A, F)) = 4 ;Distance(B,LineOf(A, F)) = sqrt(7)",
+      "coords": {}
+    },
+    {
+      "index": 6562,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6562.png",
+      "answer": "x^2/4+y^2/9=1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/9 = 1);P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,D), yAxis) = True;FootPoint(LineSegmentOf(P, D), yAxis) = D;D: Point",
+      "coords": {}
+    },
+    {
+      "index": 6563,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6563.png",
+      "answer": "10",
+      "fact_expr": "C: Curve;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/25 + y^2/9 = 1);Coordinate(P) = (x1, y1);Coordinate(F1) = (-4, 0);Coordinate(F2)= (4, 0);PointOnCurve(P, C);x1:Number;y1:Number",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ],
+        "F2": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6564,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6564.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;LeftFocus(G) = F;P: Point;PointOnCurve(P, RightPart(G)) = True;H: Circle;Center(H) = O;O: Origin;Radius(H) = Abs(LineSegmentOf(O,F));PointOnCurve(MidPoint(LineSegmentOf(P,F)),H) = True;Slope(LineOf(P,F)) = sqrt(5)/2",
+      "coords": {}
+    },
+    {
+      "index": 6565,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6566,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6567,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6567.png",
+      "answer": "y=pm*(sqrt(3)*x)",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 8*x);G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;PointOnCurve(LeftFocus(G), Directrix(H));Length(InterceptChord(Directrix(H), G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6568,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6569,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6569.png",
+      "answer": "{4,1/4}",
+      "fact_expr": "G: Ellipse;a: Number;Expression(G) = (x^2/a^2 + y^2/a = 1);Length(MajorAxis(G)) = 2 * Length(MinorAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 6570,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6570.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;M: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/2 = 1);Focus(C) = {F1, F2};PointOnCurve(M, C)",
+      "coords": {}
+    },
+    {
+      "index": 6571,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6572,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6572.png",
+      "answer": "x-2*y+4=0",
+      "fact_expr": "G: Ellipse;H: Circle;A: Point;B: Point;Expression(G) = (x^2/12 + y^2/3 = 1);Expression(H) = ((x + 2)^2 + (y - 1)^2 = 5/2);IsDiameter(LineSegmentOf(A, B), H);PointOnCurve(A,G);PointOnCurve(B,G)",
+      "coords": {}
+    },
+    {
+      "index": 6573,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6573.png",
+      "answer": "y = pm*sqrt(2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;FocalLength(C) = 2*c;c: Number;P: Point;PointOnCurve(P, C);Perimeter(TriangleOf(F1, P, F2)) = 6*a + 2*c;Area(TriangleOf(F1, P, F2)) = 2*a*c",
+      "coords": {}
+    },
+    {
+      "index": 6574,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6575,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6576,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6576.png",
+      "answer": "-1/4",
+      "fact_expr": "G: Parabola;A: Point;P: Point;B: Point;Expression(G) = (x^2 = y);PointOnCurve(A, G);PointOnCurve(B, G);l1: Line;l2: Line;TangentOnPoint(A, G) = l1;TangentOnPoint(B, G) = l2;Intersection(l1, l2) = P;AngleOf(A, P, B) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6577,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6578,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6579,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6579.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*x);H: Line;P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, H);A: Point;B: Point;Intersection(H, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6580,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6581,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6581.png",
+      "answer": "-b^2*x0/a^2*y0",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;x0:Number;y0:Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(P) = (x0, y0);H:Line;PointOnCurve(P,G);Negation(y0=0);TangetOnPoint(P,G) = H",
+      "coords": {}
+    },
+    {
+      "index": 6582,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6582.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (5, 0);RightFocus(G) = F;Expression(OneOf(Asymptote(G)))=(y=(4/3)*x)",
+      "coords": {
+        "F": [
+          5.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6583,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6583.png",
+      "answer": "{2*sqrt(2)-2,2*sqrt(2)+2}",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6584,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6584.png",
+      "answer": "5",
+      "fact_expr": "l: Line;E: Ellipse;P: Point;M: Point;N: Point;Expression(E) = (x^2/4 + y^2 = 1);PointOnCurve(P, MajorAxis(E));PointOnCurve(P, l);Slope(l) = 1/2;Intersection(l, E) = {M, N}",
+      "coords": {}
+    },
+    {
+      "index": 6585,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6585.png",
+      "answer": "-8",
+      "fact_expr": "G: Parabola;a: Number;Expression(G) = (x^2 = a*y);Expression(Directrix(G)) = (y = 2)",
+      "coords": {}
+    },
+    {
+      "index": 6586,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          2.0
+        ],
+        "radius": 2.23606797749979
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6586.png",
+      "answer": "x-y+1=0",
+      "fact_expr": "l: Line;G: Circle;Expression(G) = (a - 4*y + 2*x + x^2 + y^2 = 0);a: Number;a<3;Intersection(l,G) = {A,B};IsChordOf(LineSegmentOf(A,B),G) = True;Coordinate(MidPoint(LineSegmentOf(A,B))) = (0,1);A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 6587,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 12.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6587.png",
+      "answer": "[-4,4]",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/12 + y^2/4 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 6588,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6588.png",
+      "answer": "5/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Line;PointOnCurve(F, H);A: Point;B: Point;Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, F)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6589,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6589.png",
+      "answer": "21",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (x^2/25 + y^2/16 = 1);C2: Hyperbola;Expression(C2) = (x^2/4 - y^2/5 = 1);A: Point;OneOf(Intersection(C1, C2)) = A;Focus(C1) = {F1, F2};F1: Point;F2: Point",
+      "coords": {}
+    },
+    {
+      "index": 6590,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6590.png",
+      "answer": "[7,13]",
+      "fact_expr": "G: Ellipse;H1: Circle;H2: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(P,G) = True;Expression(H1) = (y^2 + (x + 3)^2 = 4);PointOnCurve(M,H1) = True;Expression(H2) = (y^2 + (x - 3)^2 = 1);PointOnCurve(N,H2) = True",
+      "coords": {}
+    },
+    {
+      "index": 6591,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2135674953460693,
+        "b": 2.4270472526550293,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.453341261978494e-06,
+        "converged": true,
+        "iterations": 125
+      },
+      "output_path": "results/train/hyperbola/problem_6591.png",
+      "answer": "4",
+      "fact_expr": "l: Line;C1: Hyperbola;C2: Parabola;P: Point;F: Point;O:Origin;Expression(C1)=(x^2/a^2-y^2/b^2=1);Expression(C2)=(y^2=8*x);Eccentricity(C1)=sqrt(5);OneOf(Asymptote(C1))=l;Focus(C2)=F;Intersection(l,C2)=P;Negation(P=O);a: Number;b: Number",
+      "coords": {}
+    },
+    {
+      "index": 6592,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6592.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;b: Number;M: Point;P: Point;l: Line;0 < b;b < 2;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/b^2 = 1);Coordinate(M) = (2, 2);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(M, l);TangentOfPoint(M, G) = l;TangentPoint(G, l) = P;Negation(PointOnCurve(P, xAxis))",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6593,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6593.png",
+      "answer": "(-oo, -sqrt(5)/4) + (sqrt(5)/4, +oo)",
+      "fact_expr": "G: Ellipse;H: Line;k: Real;Expression(G) = (x^2/16 + y^2/4 = 1);Expression(H) = (k*x - y + 3 = 0);NumIntersection(H, G)= 2",
+      "coords": {}
+    },
+    {
+      "index": 6594,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6594.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, RightPart(C));Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F1));Abs(LineSegmentOf(P, F1)) = sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6595,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6595.png",
+      "answer": "5/3",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;G: Circle;F1: Point;F2:Point;P: Point;T: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = a^2);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(F1, l);TangentPoint(l,G)=T;Intersection(l, RightPart(C)) = P;LineSegmentOf(F1, P) = 4*LineSegmentOf(F1, T)",
+      "coords": {}
+    },
+    {
+      "index": 6596,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6596.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;P: Point;O: Origin;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6597,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6597.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;a:Number;b:Number;a>0;b>0;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P, RightPart(G));Tan(AngleOf(P, F1, F2)) = 1/2;Tan(AngleOf(P, F2, F1)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6598,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6599,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6599.png",
+      "answer": "0",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 8*x);Coordinate(A) = (0, -4);Coordinate(B) = (3, 2);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          -4.0
+        ],
+        "B": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6600,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6600.png",
+      "answer": "sqrt(33)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F2, l) = True;Intersection(l, RightPart(C)) = {A, B};A: Point;B: Point;M: Point;VectorOf(A, B) + VectorOf(A, F1) = 2*VectorOf(A, M);DotProduct(VectorOf(A, M), VectorOf(B, F1)) = 0;Cos(AngleOf(A, F1, B)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 6601,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6602,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6602.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;H: Line;c: Number;Expression(G) = (x^2 = 4*y);Expression(H) = (c + 2*x - y = 0);IsTangent(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 6603,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6603.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;P: Point;O: Origin;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(P, C);Abs(LineSegmentOf(P, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6604,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6604.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;Expression(H) = (y = k*x + m);k: Number;m: Number;P: Point;Q: Point;Intersection(H, G) = {P, Q};Coordinate(MidPoint(LineSegmentOf(P,Q))) = (x0, 2);x0: Number",
+      "coords": {}
+    },
+    {
+      "index": 6605,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6605.png",
+      "answer": "16",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(Focus(G),l);Inclination(l) = pi/4;Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 6606,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6606.png",
+      "answer": "sqrt(2)-1",
+      "fact_expr": "A: Point;G: Parabola;Expression(G) = (x^2 = 8*y);Intersection(SymmetryAxis(G), Directrix(G)) = A;B: Point;Focus(G) = B;P: Point;PointOnCurve(P, G);Sin(TriangleOf(P, A, B)) = m * Sin(TriangleOf(P, B, A));m: Real;WhenMin(m);PointOnCurve(P, H) = True;Focus(H) = {A, B};H: Ellipse",
+      "coords": {}
+    },
+    {
+      "index": 6607,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6607.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Distance(RightFocus(G),RightDirectrix(G))=(1/3)*FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 6608,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6608.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;G: Circle;Center(G) = Vertex(C);A: Point;B: Point;Intersection(G, C) = {A, B};D: Point;E: Point;Intersection(G, Directrix(C)) = {D, E};Abs(LineSegmentOf(A, B)) = 2*sqrt(6);Abs(LineSegmentOf(D, E)) = 2*sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 6609,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6610,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_6610.png",
+      "answer": "x^2/4 - y^2/12 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 16*x);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6611,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6612,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6612.png",
+      "answer": "(-1/4, 1)",
+      "fact_expr": "A: Point;Coordinate(A) = (-2, 1);G: Curve;Expression(G) = (y^2 = -4*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A))+Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6613,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6613.png",
+      "answer": "12/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, C);M: Point;O: Origin;Abs(VectorOf(O, M)) = 1;DotProduct(VectorOf(O, M), VectorOf(P, M)) = 0;WhenMin(Abs(VectorOf(P, M)))",
+      "coords": {}
+    },
+    {
+      "index": 6614,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6615,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6615.png",
+      "answer": "12",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 16*x);D: Point;PointOnCurve(D, H) ;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;Distance(D, RightFocus(G)) = Distance(D, LeftDirectrix(G)) + 1",
+      "coords": {}
+    },
+    {
+      "index": 6616,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6617,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6618,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6618.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;p: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));Coordinate(Intersection(OneOf(Asymptote(G)),Directrix(H))) = (-2, -1);Distance(LeftVertex(G),Focus(H)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6619,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6619.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = x)",
+      "coords": {}
+    },
+    {
+      "index": 6620,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6620.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P : Point;PointOnCurve(P, G);Distance(P, Focus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 6621,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6622,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.4641016151377544,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6622.png",
+      "answer": "2",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 16*x);G: Hyperbola;Expression(G) = (x^2/12 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6623,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6623.png",
+      "answer": "y^2 = 8*x",
+      "fact_expr": "G: Parabola;m: Number;H: Line;m>0;Expression(G) = (y^2 = m*x);Expression(H) = (x = 1);Distance(Directrix(G) , H) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6624,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6625,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6626,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6627,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6628,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6629,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6630,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6630.png",
+      "answer": "1",
+      "fact_expr": "l: Line;Expression(l) = (4*x - 3*y + 6 = 0);C: Parabola;Expression(C) = (y^2 = 4*x);P: Point;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 6631,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6631.png",
+      "answer": "9",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);H1: Circle;Expression(H1) = (y^2 + (x - 5)^2 = 4);H2: Circle;Expression(H2) = (y^2 + (x + 5)^2 = 1);M: Point;N: Point;PointOnCurve(M, H1)  ;PointOnCurve(N,H2)",
+      "coords": {}
+    },
+    {
+      "index": 6632,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6633,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6633.png",
+      "answer": "(\\sqrt{2}/2, 1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Origin;M: Point;A: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;PointOnCurve(M, G);IsPerpendicular(LineSegmentOf(O, M), LineSegmentOf(M, A));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 6634,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6634.png",
+      "answer": "2*p",
+      "fact_expr": "E: Parabola;Expression(E) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(E) = F;l: Line;Inclination(l) = ApplyUnit(30, degree);PointOnCurve(F, l);A: Point;B: Point;Intersection(l, E) = {A, B};L1: Line;L2: Line;C: Point;D: Point;PointOnCurve(A, L1);IsPerpendicular(L1, Directrix(E));FootPoint(L1, Directrix(E)) = C;PointOnCurve(B, L2);IsPerpendicular(L2, Directrix(E));FootPoint(L2, Directrix(E)) = D;M: Point;MidPoint(LineSegmentOf(C, D)) = M",
+      "coords": {}
+    },
+    {
+      "index": 6635,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6635.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C) = F;l: Line;Directrix(C) = l;K: Point;Intersection(l, xAxis) = K;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};alpha: Number;Slope(G) = alpha;AngleOf(A, K, B) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6636,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6636.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (3, 1);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6637,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6638,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6638.png",
+      "answer": "5/4",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;E: Circle;Expression(E) = ((x-5)^2 + y^2 = 9);IsTangent(Asymptote(C), E) = True",
+      "coords": {}
+    },
+    {
+      "index": 6639,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6639.png",
+      "answer": "(\\sqrt{6}+\\sqrt{2})/2",
+      "fact_expr": "G: Parabola;p: Number;P: Point;Q: Point;F: Point;M: Point;M1: Point;p>0;Expression(G) = (x^2 = 2*(p*y));Focus(G) = F;PointOnCurve(P, G);PointOnCurve(Q, G);AngleOf(P, F, Q) = 5*pi/6;MidPoint(LineSegmentOf(P, Q)) = M;L:Line;PointOnCurve(M,L);Directrix(G)=l;IsPerpendicular(L,l);FootPoint(L,l)=M1;IsChordOf(LineSegmentOf(P,Q),G);l:Line",
+      "coords": {}
+    },
+    {
+      "index": 6640,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6640.png",
+      "answer": "11/8",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2);A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G) = True;MidPoint(LineSegmentOf(A,B)) = M;M: Point;Length(LineSegmentOf(A,B)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6641,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6642,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6642.png",
+      "answer": "sqrt(3)+2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;F2: Point;P: Point;F1: Point;a>0;b>0;Expression(E) = (-y^2/b + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(P, E);PointOnCurve(MidPoint(LineSegmentOf(P,F2)), yAxis);AngleOf(P, F2, F1) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6643,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6643.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;H: Circle;C:Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = (y^2 + (x + 3)^2 = 1);Expression(C) = (y^2 + (x - 3)^2 = 4);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 6644,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6644.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "G: Hyperbola;H: Line;Expression(G) = (x^2 - y^2/4 = 1);Expression(H) = (y = x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 6645,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6645.png",
+      "answer": "(1, 5/4]",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;C: Parabola;P: Point;A: Point;F: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Expression(C) = (y^2 = 16*(a*x));RightVertex(E) = A;Focus(C) = F;PointOnCurve(P, Asymptote(E));DotProduct(VectorOf(P, A), VectorOf(P, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6646,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6646.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;A: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, G);AngleOf(F1, A, F2) = ApplyUnit(90, degree);Abs(LineSegmentOf(A, F1)) = 3*Abs(LineSegmentOf(A, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6647,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_6647.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Parabola;p: Number;A: Point;O: Origin;B: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);p>0;Expression(H) = (y^2 = 2*(p*x));L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(L1,Directrix(H))=A;Intersection(L2,Directrix(H))=B;Eccentricity(G) = 2;Area(TriangleOf(A, O, B)) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6648,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.753767905018077,
+        "b": 2.2935134786480793,
+        "major_axis": "x",
+        "x_coef": 14.999999999999998,
+        "y_coef": 5.000000000000001
+      },
+      "optimization": {
+        "final_loss": 0.00019830568017831433,
+        "converged": true,
+        "iterations": 62
+      },
+      "output_path": "results/train/ellipse/problem_6648.png",
+      "answer": "x^2/25 + y^2/5 = 1",
+      "fact_expr": "G: Ellipse;P: Point;Q: Point;Coordinate(P) = (sqrt(3), -2);Coordinate(Q) = (-2*sqrt(3), 1);PointOnCurve(Q, G);PointOnCurve(P, G)",
+      "coords": {
+        "P": [
+          1.7320508075688772,
+          -2.0
+        ],
+        "Q": [
+          -3.4641016151377544,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 6649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6649.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;P: Point;A: Point;O: Origin;B: Point;t: Real;Expression(G) = (x^2/9 - y^2/16 = 1);PointOnCurve(P, G);VectorOf(P, A) = VectorOf(O, P)*(t - 1);DotProduct(VectorOf(O, A), VectorOf(O, P)) = 60;Coordinate(VectorOf(O, B)) = (0, 1)",
+      "coords": {}
+    },
+    {
+      "index": 6650,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6650.png",
+      "answer": "-4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6651,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6651.png",
+      "answer": "3*sqrt(2)/16",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Q: Point;O: Origin;M: Point;Expression(G) = (y = x^2);Expression(H) = (y = x + 1);PointOnCurve(P, H);PointOnCurve(Q, G);MidPoint(LineSegmentOf(P, Q)) = M",
+      "coords": {}
+    },
+    {
+      "index": 6652,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6652.png",
+      "answer": "sqrt(3)*2/3\npm*4",
+      "fact_expr": "C: Hyperbola;G: Parabola;m: Number;Expression(C) = (x^2/3 - y^2 = 1);Expression(G) = (y^2 = 2*(m*x));Focus(G) = Focus(C)",
+      "coords": {}
+    },
+    {
+      "index": 6653,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6653.png",
+      "answer": "4*sqrt(38)/5",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + 4*y^2 = 16);Expression(H) = (y = x + 1)",
+      "coords": {}
+    },
+    {
+      "index": 6654,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6654.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 2*x);Coordinate(P) = (0, 1);PointOnCurve(P,H);NumIntersection(G, H) = 1",
+      "coords": {
+        "P": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6655,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6655.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;F: Point;O: Origin;E: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);RightFocus(C) = F;l:Line;PointOnCurve(F,l);IsPerpendicular(l,OneOf(Asymptote(C)));FootPoint(l,OneOf(Asymptote(C)))=E;WhenMax(Area(TriangleOf(O,E,F)))",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6656,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6656.png",
+      "answer": "(6, 4*sqrt(3))",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C);Quadrant(P) = 1;Abs(LineSegmentOf(P, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 6657,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6657.png",
+      "answer": "4",
+      "fact_expr": "M: Point;G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G) = True;F: Point;Focus(G) = F;A: Point;C: Circle;Expression(C) = ((x - 4)^2 + (y - 1)^2 = 1);PointOnCurve(A, C) = True",
+      "coords": {}
+    },
+    {
+      "index": 6658,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6658.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;H: Line;P0: Point;Expression(G) = (x^2/8 + y^2/4 = 1);Expression(H) = (x - y + 6 = 0);PointOnCurve(P0, G)",
+      "coords": {}
+    },
+    {
+      "index": 6659,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6659.png",
+      "answer": "pm*y+x=0",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = pi/2;Area(TriangleOf(F1, P, F2)) = a^2",
+      "coords": {}
+    },
+    {
+      "index": 6660,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6661,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6661.png",
+      "answer": "sqrt(37)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);L: Line;PointOnCurve(Focus(G), L);Inclination(L) = ApplyUnit(60, degree);H: Circle;Expression(H) = (4*(sqrt(3)*y) - 4*x + x^2 + y^2 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6662,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6662.png",
+      "answer": "-3/8",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;A2: Point;A1: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftVertex(C)=A1;RightVertex(C)=A2;PointOnCurve(A1,l);Intersection(l,C)={A1, P};Slope(l)=2",
+      "coords": {}
+    },
+    {
+      "index": 6663,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6664,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6664.png",
+      "answer": "2*sqrt(5)\n4\n(pm*3,0)\n3*sqrt(5)/5\ny=pm*(2*sqrt(5)/5)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6665,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6665.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-x^2/b^2 + y^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (x - 2*y = 0);Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 6666,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6666.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Inclination(H) = pi/3;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6667,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6667.png",
+      "answer": "7/4",
+      "fact_expr": "l: Line;G: Parabola;Expression(G) = (y^2 = x);PointOnCurve(Focus(G), l);A: Point;B: Point;Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 6668,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6668.png",
+      "answer": "(2, 0)",
+      "fact_expr": "G: Ellipse;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(M, F1)) = 3*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6669,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6669.png",
+      "answer": "(\\sqrt{5}, +\\infty)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;H: Line;Expression(H) = (y = 2*x);IsIntersect(G, H)",
+      "coords": {}
+    },
+    {
+      "index": 6670,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6670.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(G))) = (2*x + y = 0);H: Point;Coordinate(H) = (sqrt(5), 0);OneOf(Focus(G)) = H",
+      "coords": {
+        "H": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6671,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6671.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 6672,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6672.png",
+      "answer": "(4, pm*4*sqrt(2))",
+      "fact_expr": "G: Parabola;A: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(A, G);Abs(LineSegmentOf(A, F))=6",
+      "coords": {}
+    },
+    {
+      "index": 6673,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6673.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;Q: Point;A: Point;B: Point;F: Point;D: Point;Expression(G) = (y^2 = 4*x);Coordinate(Q) = (0, 3);Focus(G) = F;PointOnCurve(Q, H);Intersection(H, G) = {A, B};Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = D;Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 6",
+      "coords": {
+        "Q": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 6674,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6674.png",
+      "answer": "1/2",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;O: Circle;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = b^2);IsTangent(l, O);e:Number;Eccentricity(C) = e;Inclination(l) = pi/3;PointOnCurve(RightVertex(C),l)",
+      "coords": {}
+    },
+    {
+      "index": 6675,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6675.png",
+      "answer": "x-sqrt(3)*y+1=0",
+      "fact_expr": "l: Line;C: Parabola;G: Circle;t: Number;A: Point;B: Point;M: Point;F: Point;N: Point;Expression(C) = (y^2 = 4*x);t>0;Expression(l) = (-t*y + x + 1 = 0);Intersection(l, C) = {A, B};Negation(A=B);MidPoint(LineSegmentOf(A, B)) = M;Focus(C) = F;IsDiameter(LineSegmentOf(M,F),G);Intersection(l,G)={M,N};Abs(LineSegmentOf(M,N))=3*sqrt(3)*Abs(LineSegmentOf(N,F))",
+      "coords": {}
+    },
+    {
+      "index": 6676,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6677,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6677.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/8 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6678,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 10.0,
+        "b": 6.0,
+        "major_axis": "x",
+        "x_coef": 100.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6678.png",
+      "answer": "36",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/100 + y^2/36 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6679,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6679.png",
+      "answer": "(pm*4, 0)\nsqrt(3)*x + pm*y = 0",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;H: Ellipse;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Eccentricity(G) = 2;Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6680,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6680.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;H: Point;Intersection(Directrix(G), xAxis) = H;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, H)) = sqrt(2)*Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 6681,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6681.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));O: Origin;DotProduct((VectorOf(O, F2) + VectorOf(O, P)), VectorOf(F2, P)) = 0;Abs(LineSegmentOf(P, F1)) = sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6682,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6682.png",
+      "answer": "23/3",
+      "fact_expr": "G: Ellipse;K: Point;M: Point;N: Point;Expression(G) = (x^2/36 + y^2/9 = 1);Coordinate(K) = (2, 0);DotProduct(VectorOf(K, M), VectorOf(K, N)) = 0;PointOnCurve(M, G);PointOnCurve(N, G)",
+      "coords": {
+        "K": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6683,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6683.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/5 + y^2/4 = 1);Focus(G) = RightFocus(H);Vertex(G)=Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 6684,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6684.png",
+      "answer": "x^2/3-y^2=1",
+      "fact_expr": "E: Hyperbola;a: Number;b: Number;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(OneOf(Focus(E))) = (2, 0);Distance(OneOf(Focus(E)),Asymptote(E))=1",
+      "coords": {}
+    },
+    {
+      "index": 6685,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6685.png",
+      "answer": "2*p",
+      "fact_expr": "C: Parabola;p: Number;G: Line;Q: Point;B: Point;F: Point;A: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Intersection(Directrix(C), xAxis) = Q;Intersection(G, C) = {A, B};AngleOf(Q, B, F) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6686,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6686.png",
+      "answer": "pm*(3/2)",
+      "fact_expr": "G: Hyperbola;H: Line;k: Real;A: Point;B: Point;l1:Line;l2:Line;Expression(G) = (x^2 - y^2/3 = 1);Expression(H) = (y = k*x);Intersection(H, G) = {A, B};IsPerpendicular(l1,xAxis);IsPerpendicular(l2,xAxis);PointOnCurve(A,l1);PointOnCurve(B,l2);FootPoint(l1,xAxis)=F1;FootPoint(l2,xAxis)=F2;Focus(G)={F1,F2};F1:Point;F2:Point",
+      "coords": {}
+    },
+    {
+      "index": 6687,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6687.png",
+      "answer": "7/4",
+      "fact_expr": "P: Point;G: Parabola;Expression(G) = (y^2 = x);PointOnCurve(P, G);M: Circle;Expression(M) = (y^2 + (x - 3)^2 = 1);l1: Line;A: Point;TangentOfPoint(P, M) = l1;TangentPoint(l1, M) = A",
+      "coords": {}
+    },
+    {
+      "index": 6688,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6688.png",
+      "answer": "(5/4,+oo)",
+      "fact_expr": "l: Line;G: Parabola;B: Point;A: Point;Expression(G) = (y = 2*x^2);PointOnCurve(A, G);PointOnCurve(B, G);PerpendicularBisector(LineSegmentOf(A,B))=l;Slope(l) = 1/2",
+      "coords": {}
+    },
+    {
+      "index": 6689,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6689.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 6690,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6691,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6691.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;F2: Point;F1: Point;Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F1,LineSegmentOf(A,B));PointOnCurve(A,LeftPart(G));PointOnCurve(B,LeftPart(G));Perimeter(TriangleOf(A, B, F2)) = 30",
+      "coords": {}
+    },
+    {
+      "index": 6692,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6692.png",
+      "answer": "[(sqrt(5)-1)/2, 1)",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;A: Point;B: Point;RightVertex(E) = A;UpperVertex(E) = B;P: Point;PointOnCurve(P, LineOf(A, B));IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));e: Number;Eccentricity(E) = e",
+      "coords": {}
+    },
+    {
+      "index": 6693,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6693.png",
+      "answer": "16/3",
+      "fact_expr": "P: Point;Coordinate(P) = (1, 0);l: Line;PointOnCurve(P, l);Inclination(l) = ApplyUnit(60, degree);G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(l, G) = {A, B};IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6694,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6694.png",
+      "answer": "-sqrt(13)",
+      "fact_expr": "P: Point;G:Curve;x1:Number;y1:Number;Coordinate(P) = (x1, y1);Expression(G)=(x^2/25 + y^2/16 = 1);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 6695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6695.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;b > a;a > 0;c: Number;FocalLength(G) = 2*c;l: Line;Q: Point;W: Point;Coordinate(Q) = (a, 0);Coordinate(W) = (0, b);PointOnCurve(Q, l);PointOnCurve(W, l);E: Point;Coordinate(E) = (-a, 0);Distance(E, l) = c*(2*sqrt(2)/3)",
+      "coords": {}
+    },
+    {
+      "index": 6696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6696.png",
+      "answer": "12/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;PointOnCurve(P, G);d1: Number;Distance(P, Directrix(G)) = d1;H: Line;Expression(H) = (3*x - 4*y + 9 = 0);d2: Number;Distance(P, H) = d2",
+      "coords": {}
+    },
+    {
+      "index": 6697,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6698,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6698.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 6699,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6699.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;P: Point;F: Point;A: Point;Expression(G) = (y = x^2/4);Focus(G) = F;Intersection(SymmetryAxis(G),Directrix(G))=A;PointOnCurve(P,G);Abs(LineSegmentOf(P,F))=m*Abs(LineSegmentOf(P,A));m:Number",
+      "coords": {}
+    },
+    {
+      "index": 6700,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6701,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6701.png",
+      "answer": "1/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;G: Line;Expression(G) = (x = m);m: Number;A: Point;B: Point;Intersection(G, C) = {A, B};WhenMax(Perimeter(TriangleOf(A, B, F)));Area(TriangleOf(A, B, F)) = b^2;e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 6702,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6703,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6703.png",
+      "answer": "(0,2]",
+      "fact_expr": "C: Parabola;p: Number;M: Point;P: Point;Q: Point;p>0;Expression(C) = (x^2 = 2*p*y);Coordinate(M) = (0, -1);PointOnCurve(P,C);PointOnCurve(Q, C);DotProduct(VectorOf(M, P), VectorOf(M, Q)) >= 0",
+      "coords": {
+        "M": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 6704,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6704.png",
+      "answer": "(3, 6)",
+      "fact_expr": "H: Line;Expression(H) = (y = 2*x);P: Point;Quadrant(P) = 1;PointOnCurve(P, H);G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);L1: Line;L2: Line;Asymptote(G) = {L1, L2};Distance(P, L1)*Distance(P, L2) = 27",
+      "coords": {}
+    },
+    {
+      "index": 6705,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6705.png",
+      "answer": "sqrt(26)-2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;A: Point;M: Point;F: Point;Expression(G) = (x^2/3 - y^2 = 1);Coordinate(A) = (3, 1);RightFocus(G) = F;PointOnCurve(M,RightPart(G))",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6706,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6707,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6707.png",
+      "answer": "1-sqrt(5)/5",
+      "fact_expr": "C: Ellipse;Expression(C)=(x^2/a^2 + y^2/b^2 = 1);b:Number;a>b;F: Point;LeftFocus(C)=F;A:Point;RightVertex(C)=A;PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F),xAxis);Slope(LineOf(P,A))=sqrt(5)/5;b>0;a:Number;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 6708,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6708.png",
+      "answer": "1+3*sqrt(2)/4",
+      "fact_expr": "l: Line;E: Ellipse;A: Point;F: Point;B: Point;Expression(E) = (x^2/2 + y^2 = 1);LeftFocus(E) = F;PointOnCurve(F, l);Intersection(l, E) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6709,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6709.png",
+      "answer": "(1, 1)",
+      "fact_expr": "G: Parabola;H: Line;Expression(G) = (y = x^2);Expression(H) = (2*x - y - 4 = 0);P: Point;PointOnCurve(P, G);WhenMin(Distance(P, H))",
+      "coords": {}
+    },
+    {
+      "index": 6710,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6711,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6711.png",
+      "answer": "(3, 2*sqrt(3))",
+      "fact_expr": "C: Parabola;p: Number;M: Point;F: Point;p>0;y0: Number;y0 > 0;Expression(C) = (y^2 = 2*(p*x));Coordinate(M) = (3, y0);Focus(C) = F;PointOnCurve(M, C);Distance(M, Focus(C)) = Abs(LineSegmentOf(M, F));Abs(LineSegmentOf(M, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6712,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6712.png",
+      "answer": "(-1, 1/4)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (-1, 3);WhenMin(Abs(LineSegmentOf(P, F))+Abs(LineSegmentOf(P, A)))",
+      "coords": {
+        "A": [
+          -1.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 6713,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_6713.png",
+      "answer": "7*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, G);Eccentricity(G) = 5/4;F1: Point;F2: Point;Focus(G) = {F1, F2};DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Area(TriangleOf(F1, P, F2)) = 18",
+      "coords": {}
+    },
+    {
+      "index": 6714,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6715,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6715.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(G), H);IsPerpendicular(H, xAxis);Length(InterceptChord(H, G)) = a",
+      "coords": {}
+    },
+    {
+      "index": 6716,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6716.png",
+      "answer": "5",
+      "fact_expr": "l: Line;C: Parabola;G: Line;B: Point;A: Point;F: Point;M: Point;Expression(C) = (y^2 = 4*x);Expression(G) = (x + 1 = 0);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 10;MidPoint(LineSegmentOf(A,B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 6717,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6717.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "C: Parabola;G: Circle;A: Point;F: Point;Expression(C) = (x^2 = -4*y);Focus(C) = F;PointOnCurve(A,C);Abs(LineSegmentOf(A,F))=3;Center(G)=A;Radius(G)=LineSegmentOf(A,F)",
+      "coords": {}
+    },
+    {
+      "index": 6718,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6718.png",
+      "answer": "(1,2)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (y = x + 4);PointOnCurve(P, G);WhenMin(Distance(P,H))",
+      "coords": {}
+    },
+    {
+      "index": 6719,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6719.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;PointOnCurve(M, G) = True;AngleOf(F1, M, F2) = 2*pi/3;DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = -2",
+      "coords": {}
+    },
+    {
+      "index": 6720,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6720.png",
+      "answer": "1",
+      "fact_expr": "F1: Point;F2: Point;G: Hyperbola;Expression(G) = (x^2 - 4*y^2 = 4);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6721,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6722,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6722.png",
+      "answer": "[0,sqrt(2)]",
+      "fact_expr": "C: Ellipse;P: Point;F1: Point;F2: Point;O: Origin;Expression(C) = (x^2/8 + y^2/4 = 1);PointOnCurve(P, C);LeftFocus(C)=F1;RightFocus(C)=F2",
+      "coords": {}
+    },
+    {
+      "index": 6723,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6723.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;Q: Point;p>0;Expression(G) = (y^2 = 2*(p*x));PointOnCurve(Q, G);Min(Distance(Q, Focus(G))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6724,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6724.png",
+      "answer": "x=pm*3",
+      "fact_expr": "G: Parabola;H: Ellipse;a: Number;Expression(G) = (y^2 = 4*x);Expression(H) = (y^2/2 + x^2/a^2 = 1);PointOnCurve(Focus(H), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 6725,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6725.png",
+      "answer": "{2*sqrt(5), 2*sqrt(13)}",
+      "fact_expr": "G: Ellipse;k: Real;k > 0;Expression(G) = (x^2/36 + y^2/k^2 = 1);FocalLength(G) = 8",
+      "coords": {}
+    },
+    {
+      "index": 6726,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6727,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -3.0,
+          -0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6727.png",
+      "answer": "x^2/36+y^2/27=1",
+      "fact_expr": "G: Circle;C:Circle;H:Circle;Expression(G) = (6*x + x^2 + y^2 + 5 = 0);Expression(C) = (-6*x + x^2 + y^2 - 91 = 0);IsOutTangent(H,G);IsInTangent(H,C)",
+      "coords": {}
+    },
+    {
+      "index": 6728,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6728.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/m^2 = 1);m: Number;m>0;Z: Line;Expression(Z) = (y = (sqrt(2)/2)*x)\t;Projection(OneOf(Intersection(Z, G)), xAxis) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6729,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6729.png",
+      "answer": "9",
+      "fact_expr": "G: Hyperbola;H: Circle;Z: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/9 - y^2/16 = 1);Expression(H) = (y^2 + (x + 5)^2 = 4);PointOnCurve(P, RightPart(G));Expression(Z) = (y^2 + (x - 5)^2 = 1);PointOnCurve(M, H);PointOnCurve(N, Z)",
+      "coords": {}
+    },
+    {
+      "index": 6730,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6730.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;O: Origin;B: Point;Expression(G) = (x^2/2 + y^2 = 1);PointOnCurve(RightFocus(G), H);Slope(H) = 1;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6731,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6731.png",
+      "answer": "sqrt(65)/15",
+      "fact_expr": "M: Ellipse;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;P: Point;Coordinate(P) = (a/3, b/2);F1: Point;F2: Point;LeftFocus(M) = F1;RightFocus(M) = F2;IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6732,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6732.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/20 = 1);F1: Point;F2: Point;Focus(G) = {F1,F2};P: Point;PointOnCurve(P, G) = True;Distance(P, F1) = 9",
+      "coords": {}
+    },
+    {
+      "index": 6733,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6733.png",
+      "answer": "8",
+      "fact_expr": "M: Ellipse;N: Circle;E: Point;F: Point;P: Point;Expression(M) = (x^2/2 + y^2 = 1);Expression(N) = (x^2 + (y - 2)^2 = 1);PointOnCurve(P, M);IsDiameter(LineSegmentOf(E, F), N)",
+      "coords": {}
+    },
+    {
+      "index": 6734,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6735,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6735.png",
+      "answer": "sqrt(17)/3",
+      "fact_expr": "l: Line;E: Hyperbola;b: Number;a: Number;F2: Point;Q: Point;P: Point;F1: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F1,l);Intersection(l,LeftPart(E))={P, Q};Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(F1, Q));IsPerpendicular(LineSegmentOf(F2, Q), LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 6736,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6736.png",
+      "answer": "-4",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2 + y^2/m = 1);Length(ImageinaryAxis(G)) = 2*Length(RealAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 6737,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6737.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;H: Ellipse;a: Number;F1: Point;F: Point;F2: Point;Expression(G) = (y^2 = 2*x);a>0;Expression(H) = (y^2 + x^2/a^2 = 1);Focus(H) = {F1, F2};Focus(G) = F;VectorOf(F1, F) = 3*VectorOf(F, F2)",
+      "coords": {}
+    },
+    {
+      "index": 6738,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6738.png",
+      "answer": "8 + sqrt(2)",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;F: Point;A: Point;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (2, 0);Coordinate(A) = (-2, sqrt(2));RightFocus(G) = F;l: LineSegment;IsChordOf(l, G);IsPerpendicular(l, xAxis);PointOnCurve(F, l);Length(l) = 6;PointOnCurve(M, G)",
+      "coords": {
+        "F": [
+          2.0,
+          0.0
+        ],
+        "A": [
+          -2.0,
+          1.4142135623730951
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6739,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6739.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6740,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6740.png",
+      "answer": "pi/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);F1: Point;F2: Point;P: Point;PointOnCurve(P,G) = True;LeftFocus(G) = F1;RightFocus(G) = F2;Abs((LineSegmentOf(P,F1))) = Abs((LineSegmentOf(P,F2)))*2",
+      "coords": {}
+    },
+    {
+      "index": 6741,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -4.0,
+          0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6741.png",
+      "answer": "(x^2/4 - y^2/12 = 1)&(x <= -2)",
+      "fact_expr": "B: Circle;A: Point;C: Circle;Expression(B) = (y^2 + (x - 4)^2 = 16);Coordinate(A) = (-4, 0);PointOnCurve(A, C);IsOutTangent(C, B)",
+      "coords": {}
+    },
+    {
+      "index": 6742,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6742.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;H: Line;F: Point;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(F,H);Focus(G) = F;Intersection(H, G) = {P, Q};Length(LineSegmentOf(P,F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6743,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6743.png",
+      "answer": "9*sqrt(2)/4",
+      "fact_expr": "G: Parabola;P: Point;O: Origin;F: Point;Expression(G) = (y^2 = 6*x);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = 9/2",
+      "coords": {}
+    },
+    {
+      "index": 6744,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6745,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6745.png",
+      "answer": "9",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/a^2 + y^2/b^2 = 1);a: Number;In(a, [1, 5]);In(b, [2, 4]);b: Number;PointOnCurve(Focus(G), xAxis);Eccentricity(G) < sqrt(3)/2;z: Number;z = a + b",
+      "coords": {}
+    },
+    {
+      "index": 6746,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4149149626832767,
+        "b": 2.450642358201144,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0319236343469396e-05,
+        "converged": true,
+        "iterations": 94
+      },
+      "output_path": "results/train/hyperbola/problem_6746.png",
+      "answer": "x^2/9 - y^2/27 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(H) = (y^2 = 24*x);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 6747,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6747.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/10 + y^2 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};AngleOf(F1,P,F2)=2*pi/3",
+      "coords": {}
+    },
+    {
+      "index": 6748,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6749,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.581065485469099,
+        "b": 1.581065485469099,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6812139285133018e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_6749.png",
+      "answer": "x^2/4 - y^2 = 1",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;O: Origin;Coordinate(F1) = (sqrt(5), 0);Coordinate(F2) = (-sqrt(5), 0);Focus(G) = {F1, F2};Center(G) = O;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Area(TriangleOf(P, F1, F2)) = 1",
+      "coords": {
+        "F1": [
+          2.23606797749979,
+          0.0
+        ],
+        "F2": [
+          -2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6750,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6750.png",
+      "answer": "(0, \\sqrt{2}/2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/b^2 = 1);b: Number;0 < b;b < 1;F: Point;LeftFocus(G) = F;A: Point;C: Point;LeftVertex(G) = A;RightVertex(G) = C;B: Point;UpperVertex(G) = B;PointOnCurve(F, P1) = True;PointOnCurve(B, P1) = True;PointOnCurve(C, P1) = True;P1: Circle;Center(P1) = P;P: Point;Coordinate(P) = (m, n);m: Number;n: Number;m + n > 0",
+      "coords": {}
+    },
+    {
+      "index": 6751,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6751.png",
+      "answer": "2*x^2-2*y^2=1",
+      "fact_expr": "G: Hyperbola;H: Parabola;Expression(H) = (y^2 = 4*x);Expression(Asymptote(G)) = (y = pm*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6752,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6752.png",
+      "answer": "sqrt(5)/5",
+      "fact_expr": "E: Ellipse;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;A: Point;B: Point;C: Point;PointOnCurve(A, E);PointOnCurve(B, E);PointOnCurve(C, E);VectorOf(A, F1) = VectorOf(F1, B);VectorOf(A, F2) = 2*VectorOf(F2, C)",
+      "coords": {}
+    },
+    {
+      "index": 6753,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6753.png",
+      "answer": "[1/2, 2]",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;P: Point;Expression(G) = (x^2 = 4*y);Coordinate(M) = (t, -2);t:Number;In(t, (-1, 1));TangentOfPoint(M,G)={LineOf(M,A),LineOf(M,B)};TangentPoint(LineOf(M,A),G)=A;TangentPoint(LineOf(M,B),G)=B;Intersection(LineOf(A,B), yAxis) = P",
+      "coords": {}
+    },
+    {
+      "index": 6754,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6755,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6755.png",
+      "answer": "4*sqrt(10)/5",
+      "fact_expr": "Slope(l) = 1;l: Line;G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);Intersection(l, G) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 6756,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6756.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Q: Point;F: Point;B: Point;A: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Intersection(H,Directrix(G))=P;Intersection(H,yAxis)=Q;VectorOf(P, Q) = VectorOf(F, B);IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 6757,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6757.png",
+      "answer": "(-2, 1/2)",
+      "fact_expr": "C: Parabola;A: Point;P: Point;F: Point;Expression(C) = (x^2 = 8*y);Coordinate(A) = (-2, 4);Focus(C) = F;PointOnCurve(P, C);WhenMin(Abs(LineSegmentOf(P, F)) + Abs(LineSegmentOf(P, A)))",
+      "coords": {
+        "A": [
+          -2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 6758,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6758.png",
+      "answer": "20",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);A: Point;B: Point;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2,LineOf(A,B));Intersection(LineOf(A,B),G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6759,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6759.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (x^2/36 + y^2/m = 1);Length(MinorAxis(G))=8",
+      "coords": {}
+    },
+    {
+      "index": 6760,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6761,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6762,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6762.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G) = {B, A};Abs(LineSegmentOf(A, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6763,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6763.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;B: Point;A: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(A, G);PointOnCurve(B,G);Distance(A,Focus(G))+Distance(B,Focus(G))=6",
+      "coords": {}
+    },
+    {
+      "index": 6764,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6765,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_6765.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/20 + x^2/a^2 = 1);a: Number;a>0;Expression(OneOf(Asymptote(G))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 6766,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6766.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;O: Origin;F: Point;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;Expression(Directrix(G)) = (x = -1);PointOnCurve(M, G);Abs(LineSegmentOf(M, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6767,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6767.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6768,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6769,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6769.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);L: LineSegment;IsChordOf(L, G) = True;PointOnCurve(Focus(G), L) = True;IsPerpendicular(L, SymmetryAxis(G)) = True",
+      "coords": {}
+    },
+    {
+      "index": 6770,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6771,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6771.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6772,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6772.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;B: Point;A: Point;F: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(F,G);Intersection(l, G) = A;OneOf(Intersection(G,C))=B;MidPoint(LineSegmentOf(A,B)) = F",
+      "coords": {}
+    },
+    {
+      "index": 6773,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6773.png",
+      "answer": "9/32",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*y);P: Point;PointOnCurve(P, G);F: Point;Focus(G) = F;Distance(P, F) = 2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 6774,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6775,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_6775.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;a: Number;b: Number;G: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(G) = (0, 2);Eccentricity(C) = sqrt(2)",
+      "coords": {
+        "G": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6776,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6776.png",
+      "answer": "(1, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = a*x);a: Number;Expression(Directrix(G)) = (x = -1);H: Line",
+      "coords": {}
+    },
+    {
+      "index": 6777,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6778,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6778.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Slope(H) = sqrt(3);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Quadrant(A) = 1;Abs(LineSegmentOf(A, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6779,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6779.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G);OneOf(Focus(G)) = F1;OneOf(Focus(G)) = F2;Negation(F1 = F2);F1: Point;F2: Point;Distance(P, F1) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6780,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6781,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6781.png",
+      "answer": "8*sqrt(3)/3",
+      "fact_expr": "C: Parabola;G: Line;M: Point;N: Point;P: Point;Q: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G);Inclination(G) = ApplyUnit(60, degree);Intersection(G, C) = {P, Q};Projection(P, Directrix(C)) = M;Projection(Q, Directrix(C)) = N",
+      "coords": {}
+    },
+    {
+      "index": 6782,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6783,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6783.png",
+      "answer": "x^2/9 - y^2/7 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;Expression(l) = (7*x - 24*y + 28 = 0);PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, C) = {A, B};IsPerpendicular(LineSegmentOf(A, F2), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 6784,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6784.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;M:Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Intersection(H, G) = {A, B};MidPoint(LineSegmentOf(A,B))=M;XCoordinate(M)=2",
+      "coords": {}
+    },
+    {
+      "index": 6785,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6786,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6786.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "G: Ellipse;Z: Ellipse;a: Real;Expression(G) = (x^2/4 + y^2/a^2 = 1);Expression(Z) = (y^2/2 + x^2/a^2 = 1);Focus(G) = Focus(Z)",
+      "coords": {}
+    },
+    {
+      "index": 6787,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6787.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);Center(H)=Vertex(G);RightFocus(H)=Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6788,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6788.png",
+      "answer": "x^2=12*y",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*p*y);p: Number;p>0;D: Point;PointOnCurve(D, G) = True;YCoordinate(D) = 2;Distance(D, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 6789,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6790,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6790.png",
+      "answer": "5/2",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;M: Point;Expression(G) = (x^2/16 + y^2/9 = 1);PointOnCurve(P,G);LeftFocus(G)=F1;Distance(P,F1)=3;MidPoint(LineSegmentOf(P, F1)) = M;O:Origin",
+      "coords": {}
+    },
+    {
+      "index": 6791,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6791.png",
+      "answer": "(1, \\pm 2)",
+      "fact_expr": "G: Parabola;O: Origin;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);DotProduct(VectorOf(O, A), VectorOf(A, F)) = -4",
+      "coords": {}
+    },
+    {
+      "index": 6792,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6792.png",
+      "answer": "sqrt(10)/4",
+      "fact_expr": "P: Point;PointOnCurve(P, G) = True;G: Ellipse;Expression(G) = (x^2/9 + y^2/3 = 1);Q: Point;PointOnCurve(Q, H) = True;H: Circle;Expression(H) = (y^2 + (x - 1)^2 = 5/8)",
+      "coords": {}
+    },
+    {
+      "index": 6793,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6793.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/5 + y^2/a^2 = 1);a: Number;a>0;H: Point;Coordinate(H) = (0, 3);OneOf(Focus(G))=H",
+      "coords": {
+        "H": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 6794,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6794.png",
+      "answer": "(\\sqrt{5}+1)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/a^2-y^2/b^2=1);a: Number;b: Number;a>0;b>0;A: Point;LeftVertex(C) = A;F: Point;RightFocus(C) = F;B: Point;Coordinate(B) = (0, b);DotProduct(VectorOf(B, A), VectorOf(B, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6795,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6796,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6796.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;G: Line;A: Point;B: Point;M: Point;E: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Intersection(Directrix(C), xAxis) = E;PointOnCurve(F, G);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = M;Abs(LineSegmentOf(M, E)) = sqrt(20)",
+      "coords": {}
+    },
+    {
+      "index": 6797,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6797.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/4 + x^2/m = 1);m: Number;Expression(OneOf(Asymptote(G))) = (y = x);L1: Line;L2: Line;Directrix(G) = {L1,L2}",
+      "coords": {}
+    },
+    {
+      "index": 6798,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6799,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6800,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6800.png",
+      "answer": "(0, \\sqrt{6}/4)",
+      "fact_expr": "C1: Ellipse;Expression(C1) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>b;b>0;C2: Circle;Expression(C2) = (x^2 + y^2 = (4*b^2)/5);P: Point;Negation(PointOnCurve(P, C1));Z1: Line;Z2: Line;TangentOfPoint(P, C2) = {Z1, Z2};IsPerpendicular(Z1, Z2)",
+      "coords": {}
+    },
+    {
+      "index": 6801,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6801.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) =F2;PointOnCurve(P, RightPart(G));DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0;Abs(LineSegmentOf(P, F1)) = sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6802,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6802.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;LeftVertex(G) = A;B: Point;OneOf(Vertex(MinorAxis(G))) = B;F: Point;RightFocus(G) = F;IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 6803,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6803.png",
+      "answer": "y^2 = 16*x",
+      "fact_expr": "G: Parabola;p: Number;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (4, m);PointOnCurve(M, G);Distance(M, F) = 8;Focus(G) = F;F: Point;m: Number",
+      "coords": {}
+    },
+    {
+      "index": 6804,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6804.png",
+      "answer": "pm*2",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/9 + y^2/25 = 1);Endpoint(MajorAxis(H))=Focus(G);PointOnCurve(Focus(H),Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 6805,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6805.png",
+      "answer": "(-oo,2]",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);Q: Point;PointOnCurve(Q, G);P: Point;a: Number;Coordinate(P) = (a, 0);Abs(LineSegmentOf(P, Q)) >= Abs(a)",
+      "coords": {}
+    },
+    {
+      "index": 6806,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6806.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Z: Line;PointOnCurve(F2, Z);IsPerpendicular(Z, OneOf(Asymptote(C)));H: Point;FootPoint(Z, OneOf(Asymptote(C))) = H;M: Point;Intersection(Z, C) = M;VectorOf(F2, M) = 2*VectorOf(M, H)",
+      "coords": {}
+    },
+    {
+      "index": 6807,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6807.png",
+      "answer": "2*sqrt(10)",
+      "fact_expr": "l: Line;G: Ellipse;C:Curve;Expression(l)=(x+y-4=0);Expression(C)=(x^2/16+y^2/12=1);Focus(C)=Focus(G);PointOnCurve(M,l);PointOnCurve(M,G);M:Point",
+      "coords": {}
+    },
+    {
+      "index": 6808,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6808.png",
+      "answer": "4*x-y-7=0",
+      "fact_expr": "G: Hyperbola;H: Line;P1: Point;P2: Point;P: Point;Coordinate(P) = (2, 1);Expression(G) = (x^2 - y^2/2 = 1);PointOnCurve(P, H);Intersection(H, G) = {P1, P2};MidPoint(LineSegmentOf(P1, P2)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6809,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6809.png",
+      "answer": "2*sqrt(7)-2",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G)) = True;RightFocus(G) = F;F: Point;G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);A: Point;Coordinate(A) = (3, sqrt(3))",
+      "coords": {
+        "A": [
+          3.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 6810,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6810.png",
+      "answer": "{0,1}",
+      "fact_expr": "G: Parabola;H: Line;k: Number;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x + 2);NumIntersection(H, G) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6811,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6811.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6812,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6813,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6813.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;m: Real;H: Line;Expression(G) = (x^2/4 - y^2/m = 1);Expression(H) = (x - 3*y - 3 = 0);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 6814,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6815,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6815.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;p: Number;H: Parabola;p>0;Expression(G) = (x^2 - 8*y^2/p^2 = 1);Expression(H) = (y^2 = 2*p*x);PointOnCurve(LeftFocus(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 6816,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6816.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;M: Point;F: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Intersection(H,OneOf(Asymptote(G)))=M;Focus(H)=F;Abs(LineSegmentOf(M, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6817,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.872983346207417,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6817.png",
+      "answer": "5",
+      "fact_expr": "G: Hyperbola;H: Circle;D: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2 - y^2/15 = 1);Expression(H) = (y^2 + (x + 4)^2 = 4);Expression(D) = (y^2 + (x - 4)^2 = 1);PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, D)",
+      "coords": {}
+    },
+    {
+      "index": 6818,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6819,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6819.png",
+      "answer": "1/5",
+      "fact_expr": "O: Origin;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);M: Point;N: Point;Intersection(l, G) = {M, N};T: Point;IsChordOf(LineSegmentOf(M, N), G);MidPoint(LineSegmentOf(M, N)) = T;Abs(LineSegmentOf(M, F)) = 4*Abs(LineSegmentOf(O, F));Area(TriangleOf(M, F, O)) = 4*sqrt(3);S: Point;Intersection(OverlappingLine(LineSegmentOf(O, T)), G) = S",
+      "coords": {}
+    },
+    {
+      "index": 6820,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6820.png",
+      "answer": "x = -4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x)",
+      "coords": {}
+    },
+    {
+      "index": 6821,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6821.png",
+      "answer": "1",
+      "fact_expr": "H: Curve;Expression(H) = (y = x^2);G: Line;Expression(G) = (-a + 2*x - y = 0);a: Number;IsTangent(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 6822,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6822.png",
+      "answer": "(0, pm*sqrt(m - 4))",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/m = 1);PointOnCurve(Focus(G), yAxis);m: Number",
+      "coords": {}
+    },
+    {
+      "index": 6823,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6823.png",
+      "answer": "4/5",
+      "fact_expr": "alpha: Number;l: Line;Inclination(l) = alpha;G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);Slope(l) = Eccentricity(G)",
+      "coords": {}
+    },
+    {
+      "index": 6824,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6824.png",
+      "answer": "[0,2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = x);PointOnCurve(P,C) = True;P: Point;A: Point;Coordinate(A) = (-1, 0);B: Point;Coordinate(B) = (1, 0)",
+      "coords": {
+        "A": [
+          -1.0,
+          0.0
+        ],
+        "B": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6825,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6825.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(P,G);Coordinate(A)=(1/2,1)",
+      "coords": {
+        "A": [
+          0.5,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6826,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6826.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;A: Point;F: Point;m:Number;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (m, 2*sqrt(2));Focus(G)=F;PointOnCurve(A,G);C:Circle;Center(C)=A;Radius(C)=Abs(LineSegmentOf(A,F));Length(InterceptChord(yAxis,C))=2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 6827,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6827.png",
+      "answer": "{y^2 = 4*x, y^2 = -36*x}",
+      "fact_expr": "G: Parabola;H: Line;O: Origin;Expression(H) = (2*x - y - 4 = 0);Vertex(G) = O;PointOnCurve(Focus(G), xAxis);Length(InterceptChord(H, G)) = 3*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 6828,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6828.png",
+      "answer": "8*sqrt(5)/5",
+      "fact_expr": "G: Hyperbola;L1: Line;L2: Line;Expression(G) = (x^2 - 4*y^2 = 4);Directrix(G) = {L1, L2}",
+      "coords": {}
+    },
+    {
+      "index": 6829,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6829.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2/6 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6830,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_6830.png",
+      "answer": "5*x^2-5*y^2/4=1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 4*x);Expression(OneOf(Asymptote(G)))=(y=2*x);OneOf(Focus(G))=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6831,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6832,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.449489742783178,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 6.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6832.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/9 + y^2/6 = 1);PointOnCurve(P, G) = True;F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6833,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6833.png",
+      "answer": "x^2/16 - y^2/9 = 1",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Distance(RightFocus(C),Asymptote(C))=3;P: Point;F1: Point;F2: Point;Focus(C) = {F1, F2};PointOnCurve(P, RightPart(C));Distance(P, F1) - Distance(P, F2) = (4/3)*Length(ImageinaryAxis(C))",
+      "coords": {}
+    },
+    {
+      "index": 6834,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6835,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6836,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6836.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;N: Point;F: Point;M: Point;Expression(G) = (y^2 = 12*x);Focus(G)=F;PointOnCurve(M,G);PointOnCurve(M,H);IsPerpendicular(H,Directrix(G));FootPoint(H,Directrix(G))=N;Slope(LineOf(N,F)) = -sqrt(3)/3",
+      "coords": {}
+    },
+    {
+      "index": 6837,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7071067811865476,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6837.png",
+      "answer": "x^2/2+y^2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;O: Origin;Expression(G) = (2*x^2 - 2*y^2 = 1);Center(H) = O;Focus(H) = Focus(G);InterReciprocal(Eccentricity(G), Eccentricity(H))",
+      "coords": {}
+    },
+    {
+      "index": 6838,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6838.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/24 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6839,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6840,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6840.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;H: Line;A: Point;B: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);F1:Point;F2:Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1,H);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(H,L1)=A;Intersection(H,L2)=B;VectorOf(F1,A) = 2*VectorOf(A,B);DotProduct(VectorOf(F1,A),VectorOf(A,O)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6841,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6842,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6842.png",
+      "answer": "-3",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (x^2 + y^2/m = 1);Inclination(OneOf(Asymptote(G)))=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 6843,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6843.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;c: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);HalfFocalLength(G)=c",
+      "coords": {}
+    },
+    {
+      "index": 6844,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6844.png",
+      "answer": "3/5",
+      "fact_expr": "G:Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;e:Number;Eccentricity(G)=e;e=sqrt(3)/2;A:Point;B:Point;LeftVertex(G)=A;RightVertex(G)=B;PointOnCurve(P,G);Negation(P=A);Negation(P=B);Inclination(LineOf(P, A)) = alpha;Inclination(LineOf(P,B)) = beta;alpha:Number;beta:Number;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 6845,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6845.png",
+      "answer": "10",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Q: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (x^2/8 + y^2/2 = 1);Expression(H) = (x + 2*y - 8 = 0);Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);PointOnCurve(P, G);PointOnCurve(Q, H)",
+      "coords": {}
+    },
+    {
+      "index": 6846,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 3.1622776601683795,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6846.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/6 - y^2/10 = 1);H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Real;p>0;Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 6847,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6847.png",
+      "answer": "-2",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;F: Point;Q: Point;Expression(G) = (x^2/4 + y^2/3 = 1);RightFocus(G) = F;PointOnCurve(Center(G), H);Intersection(H, G) = {P, Q};WhenMax(Area(TriangleOf(P,F,Q)))",
+      "coords": {}
+    },
+    {
+      "index": 6848,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6848.png",
+      "answer": "2*sqrt(5)",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + 4*y^2 = 16);Expression(H) = (x - 2*y + 4 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6849,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6849.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (-x^2 + y^2/3 = 1);Expression(H) = (x^2 = p*y);UpperFocus(G)=Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 6850,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6850.png",
+      "answer": "x^2/16+y^2/7=1",
+      "fact_expr": "G: Ellipse;C:Ellipse;H: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(H) = (-3, 7/4);Focus(G)=Focus(C);PointOnCurve(H,C)",
+      "coords": {
+        "H": [
+          -3.0,
+          1.75
+        ]
+      }
+    },
+    {
+      "index": 6851,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6851.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;M: Point;F1: Point;F2: Point;I: Point;a: Number;b: Number;a > 0;b > 0;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, C);Incenter(TriangleOf(M, F1, F2)) = I;Area(TriangleOf(I, M, F1)) + Area(TriangleOf(I, M, F2)) = (3/2)*Area(TriangleOf(I, F1, F2));Abs(LineSegmentOf(M, F1)) = 2*Abs(LineSegmentOf(M, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6852,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6853,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6853.png",
+      "answer": "sqrt(2)+1",
+      "fact_expr": "M: Hyperbola;b: Number;a: Number;G: Line;F2: Point;A: Point;B: Point;F1: Point;e: Number;a>0;b>0;Expression(M) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(M) = F1;RightFocus(M) = F2;PointOnCurve(F1,G);IsPerpendicular(G,xAxis);Intersection(G, M) = {A, B};DotProduct(VectorOf(F2, A), VectorOf(F2, B)) = 0;Eccentricity(M) = e",
+      "coords": {}
+    },
+    {
+      "index": 6854,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6854.png",
+      "answer": "2",
+      "fact_expr": "A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);O: Origin;DotProduct(VectorOf(O, A), VectorOf(O, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6855,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6855.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;M: Point;F: Point;O: Origin;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Focus(G) = F;AngleOf(M, F, O) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6856,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6856.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6857,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6857.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;P: Point;F: Point;x0:Number;y0:Number;Expression(G) = (y^2 = 4*x);Coordinate(P) = (x0,y0);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6858,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6859,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6859.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/m^2 = 1);m: Real;H: Line;Expression(H) = (m*x + y - 1 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 6860,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6860.png",
+      "answer": "a/2 - p/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);a: Number;a>=2*p;Length(LineSegmentOf(A, B)) = a;M: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 6861,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6862,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6862.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;L: Line;Q: Point;P: Point;F: Point;O:Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(O,L);Inclination(L)=pi/6;Intersection(L,LeftPart(G))=P;Intersection(L,RightPart(G))=Q;IsDiameter(LineSegmentOf(P,Q),H);PointOnCurve(F,G);RightFocus(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 6863,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6863.png",
+      "answer": "5/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/16 + y^2/7 = 1);P: Point;PointOnCurve(P,G) = True;XCoordinate(P) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6864,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6864.png",
+      "answer": "4*x+pm*3*y=0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6865,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6865.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F2: Point;l:Line;Q: Point;P: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G)=F2;PointOnCurve(F2,l);L1:Line;L2:Line;IsPerpendicular(L1,l);FootPoint(L1,l)=P;Intersection(L2,l)=Q;VectorOf(F2, Q) = 2*VectorOf(F2, P);OneOf(Asymptote(G))=L1;OneOf(Asymptote(G))=L2;Negation(L1=L2)",
+      "coords": {}
+    },
+    {
+      "index": 6866,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6866.png",
+      "answer": "20",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/64 - y^2/36 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 6867,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6867.png",
+      "answer": "1",
+      "fact_expr": "G: Line;H: Curve;P: Point;Expression(G) = (2*x + y - 1 = 0);Expression(H) = (x^2 = 4*y);Coordinate(P) = (m, n);m:Number;n:Number;IsPerpendicular(TangentOnPoint(P,H),G)",
+      "coords": {}
+    },
+    {
+      "index": 6868,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6868.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F2), xAxis);Abs(LineSegmentOf(F1, F2)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6869,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.560132719491411,
+        "b": 1.280571558186289,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.001754676787936e-06,
+        "converged": true,
+        "iterations": 73
+      },
+      "output_path": "results/train/hyperbola/problem_6869.png",
+      "answer": "x^2/4-y^2=1",
+      "fact_expr": "G: Hyperbola;PointOnCurve(Focus(G),xAxis);Expression(Asymptote(G))=(y=pm*(1/2)*x);FocalLength(G) = 2*sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 6870,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6871,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6871.png",
+      "answer": "sqrt(5)/2",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;O: Origin;A: Point;B: Point;F: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1) ;OneOf(Focus(C)) = F;PointOnCurve(F, l);L1:Line;L2:Line;Asymptote(C)={L1,L2};Intersection(l,L1) = A;Intersection(l,L2 ) = B;DotProduct(VectorOf(O, A), VectorOf(F, A)) = 0;Radius(InscribedCircle(TriangleOf(O,A,B)))=a/3",
+      "coords": {}
+    },
+    {
+      "index": 6872,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6872.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = x)",
+      "coords": {}
+    },
+    {
+      "index": 6873,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6873.png",
+      "answer": "4",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;B: Point;C: Point;O: Origin;A: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);L1:Line;L2:Line;Asymptote(G)={L1,L2};Intersection(L1,l)=A;Intersection(L2,l) = B;Intersection(xAxis,l) = C;MidPoint(LineSegmentOf(B,C))=A;LineSegmentOf(O, A) = LineSegmentOf(O, C)",
+      "coords": {}
+    },
+    {
+      "index": 6874,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6874.png",
+      "answer": "y^2=2*x-2",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Q: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), H);Intersection(H, G) = {P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 6875,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6875.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (3*x - 4*y + 7/2 = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 6876,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6876.png",
+      "answer": "16/3",
+      "fact_expr": "A: Point;B: Point;G: Parabola;p: Number;H: Line;C: Point;F: Point;l:Line;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G)=F;PointOnCurve(F,H);Intersection(H,G) = {A,B};Directrix(G)=l;Intersection(H,l)=C;MidPoint(LineSegmentOf(A, C)) = F;LineSegmentOf(A, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6877,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6878,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6878.png",
+      "answer": "2",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 6879,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6879.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;Q: Point;F: Point;O: Origin;A: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F;PointOnCurve(A, G);Intersection(TangentOfPoint(A,G), yAxis) = Q;AngleOf(Q, F, O) = pi/4;AngleOf(Q, F, A) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 6880,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6881,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6882,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6883,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6883.png",
+      "answer": "40",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (12, 39);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          12.0,
+          39.0
+        ]
+      }
+    },
+    {
+      "index": 6884,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -1.0,
+          0.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6884.png",
+      "answer": "x^2/4 + y^2/3 = 1",
+      "fact_expr": "G: Circle;A: Point;B: Point;C: Point;M: Point;Expression(G) = (y^2 + (x - 1)^2 = 16);Coordinate(A) = (-1, 0);Center(G)=C;PointOnCurve(B,G);Intersection(PerpendicularBisector(LineSegmentOf(A,B)), LineSegmentOf(B, C)) = M",
+      "coords": {}
+    },
+    {
+      "index": 6885,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.1209959984138265,
+        "b": 2.1209959984138265,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 8.099017116797696e-06,
+        "converged": true,
+        "iterations": 98
+      },
+      "output_path": "results/train/hyperbola/problem_6885.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;F1: Point;F2: Point;Coordinate(F1) = (-3, 0);Coordinate(F2) = (3, 0);Focus(G) = {F1, F2}",
+      "coords": {
+        "F1": [
+          -3.0,
+          0.0
+        ],
+        "F2": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6886,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6886.png",
+      "answer": "4/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Number;a>1;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6887,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6887.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;C: Point;D: Point;M: Point;Expression(G)=(x^2/4 + y^2 = 1);Coordinate(C)=(-sqrt(3), 0);Coordinate(D)=(sqrt(3), 0);PointOnCurve(M, G)",
+      "coords": {
+        "C": [
+          -1.7320508075688772,
+          0.0
+        ],
+        "D": [
+          1.7320508075688772,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6888,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.998991012573242,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 1.9470178358460544e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/parabola/problem_6888.png",
+      "answer": "10+(20*sqrt(2)/3)",
+      "fact_expr": "l: Line;C: Parabola;p: Number;B: Point;A: Point;H: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(H) = (3, 6);Coordinate(M) = (2, 2);PointOnCurve(H, C);PointOnCurve(M, l);Intersection(l, C)={A, B};MidPoint(LineSegmentOf(A,B))=M;Focus(C)=F",
+      "coords": {
+        "H": [
+          3.0,
+          6.0
+        ],
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6889,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_6889.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;Eccentricity(G) = sqrt(3);H: Parabola;Expression(H) = (y^2 = 4*x);OneOf(Directrix(G)) = Directrix(H);OneOf(Intersection(G, H)) = P;P: Point;Focus(H) = F;F: Point",
+      "coords": {}
+    },
+    {
+      "index": 6890,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6890.png",
+      "answer": "(-12,0)",
+      "fact_expr": "G: Hyperbola;k: Number;e:Number;Expression(G) = (y^2/4 + x^2/k = 1);Eccentricity(G) = e;e<2",
+      "coords": {}
+    },
+    {
+      "index": 6891,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6891.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;A: Point;RightVertex(C) = A;L: Line;PointOnCurve(F, L) = True;IsPerpendicular(L, xAxis) = True;Intersection(L, C) = {M, N};M: Point;N: Point;Tan(AngleOf(M, A, N)) = -3/4",
+      "coords": {}
+    },
+    {
+      "index": 6892,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6892.png",
+      "answer": "{y^2=4*x,y^2=8*x}",
+      "fact_expr": "l: Line;C: Parabola;p:Number;p>0;A: Point;B: Point;M: Point;F:Point;Expression(C)=(y^2=2*p*x);Coordinate(M) = (3, 2);Focus(C) = F;PointOnCurve(F,l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "M": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6893,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6894,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6895,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6895.png",
+      "answer": "x^2=4*y",
+      "fact_expr": "C: Parabola;p: Number;P: Point;F: Point;E: Point;l: Line;p>0;Expression(C) = (x^2 = 2*(p*y));Focus(C) = F;Directrix(C) = l;PointOnCurve(P, C);L:Line;PointOnCurve(P, L);IsPerpendicular(l,L);Intersection(l, L) = E;AngleOf(P, F, E) = ApplyUnit(60, degree);Abs(LineSegmentOf(P, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6896,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6896.png",
+      "answer": "y^2/20 + x^2/4 = 1",
+      "fact_expr": "G: Ellipse;PointOnCurve(H,G) = True;H: Point;Coordinate(H) = (sqrt(3), -sqrt(5));G1: Ellipse;Expression(G1) = (x^2/9 + y^2/25 = 1);Focus(G) = Focus(G1)",
+      "coords": {
+        "H": [
+          1.7320508075688772,
+          -2.23606797749979
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 6897,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6897.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;O: Origin;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 6898,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6898.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2 - y^2 = 8);p>0;Expression(H) = (y^2 = 2*(p*x));Focus(H) = OneOf(Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 6899,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6899.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;G: Point;Expression(C) = (x^2 - y^2 = 1);Coordinate(G) = (2, 0)",
+      "coords": {
+        "G": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6900,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6900.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 6901,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6901.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 16*x);P: Point;PointOnCurve(P, G);Distance(P, xAxis) = 12;F: Point;Focus(G) = F;Distance(P, F) = Abs(LineSegmentOf(P, F))",
+      "coords": {}
+    },
+    {
+      "index": 6902,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6902.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G)=(y^2=2*x);Focus(G)=F;PointOnCurve(A, G);PointOnCurve(B, G);Abs(LineSegmentOf(A, F)) + Abs(LineSegmentOf(B, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6903,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6904,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4506710767745972,
+        "b": 2.0511727333068848,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.657696081267204e-06,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_6904.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;a: Real;a>0;Expression(G) = (-y^2/2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = sqrt(2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 6905,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6905.png",
+      "answer": "2*sqrt(5)/5",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y - 2 = 0);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(OneOf(Vertex(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 6906,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6907,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6908,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_6908.png",
+      "answer": "x^2/16 - y^2/9 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(G) = 5/4;A: Point;Coordinate(A) = (-4*sqrt(2), 3);PointOnCurve(A, G)",
+      "coords": {
+        "A": [
+          -5.656854249492381,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 6909,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_ecc_mismatch;ellipse_focus_mismatch",
+      "params": {
+        "a": 1.9257268905639648,
+        "b": 1.7993911322594118,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 2.5576271215184017e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_6909.png",
+      "answer": "-4/3",
+      "fact_expr": "r: Ellipse;a: Number;b: Number;O: Origin;D: Point;A: Point;B: Point;C: Point;E: Point;M: Point;F: Point;a > b;b > 0;Expression(r) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F) = (0, 1);RightFocus(r) = F;Eccentricity(r) = 1/2;PointOnCurve(Vertex(TriangleOf(A, B, C)), r);MidPoint(LineSegmentOf(A, B)) = D;MidPoint(LineSegmentOf(B, C)) = E;MidPoint(LineSegmentOf(A, C)) = M;k1: Number;k2: Number;k3: Number;Slope(OverlappingLine(LineSegmentOf(A, B))) = k1;Slope(OverlappingLine(LineSegmentOf(B, C))) = k2;Slope(OverlappingLine(LineSegmentOf(A, C))) = k3;Negation(k1 = 0);Negation(k2 = 0);Negation(k3 = 0);Slope(LineOf(O, D)) + Slope(LineOf(O, E))+ Slope(LineOf(O, M)) = 1",
+      "coords": {
+        "F": [
+          0.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_ecc_mismatch",
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 6910,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6911,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6911.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Ellipse;A: Point;P: Point;Expression(G) = (x^2/4 + y^2/2 = 1);Coordinate(A) = (0, 1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6912,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6913,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6913.png",
+      "answer": "y^2 = -4 \\sqrt{5} x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/9 + y^2/4 = 1);Focus(G) = LeftFocus(H);Vertex(G) = Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 6914,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6915,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6915.png",
+      "answer": "(-3, 0)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;C: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;O: Origin;Orthocenter(TriangleOf(A, B, C)) = O",
+      "coords": {}
+    },
+    {
+      "index": 6916,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6916.png",
+      "answer": "(1, 1)",
+      "fact_expr": "G: Parabola;H: Line;P:Point;Expression(G) = (y^2 = x);Expression(H) = (x - 2*y + 4 = 0);PointOnCurve(P, G);WhenMin(Distance(P,H))",
+      "coords": {}
+    },
+    {
+      "index": 6917,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6917.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Circle;c: Number;H: Line;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (2*(c*x) + x^2 + y^2 = 0);Coordinate(F) = (c, 0);RightFocus(C) = F;PointOnCurve(F,H);IsPerpendicular(H,Asymptote(C));IsTangent(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 6918,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6918.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;a: Number;Q: Circle;P: Point;F1: Point;F2: Point;a>1;O: Origin;Expression(C) = (y^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};Center(Q) = O ;Diameter(Q) = FocalLength(C);Intersection(Q, C) = P",
+      "coords": {}
+    },
+    {
+      "index": 6919,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6920,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6921,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.75,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6921.png",
+      "answer": "-5/2",
+      "fact_expr": "G: Parabola;A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Expression(G) = (y^2 = 3*x);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(A, G);PointOnCurve(B, G);Slope(LineOf(A, B)) = 2;y1 = 4",
+      "coords": {}
+    },
+    {
+      "index": 6922,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6922.png",
+      "answer": "2",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 2*(p*x));p: Number;p>0;G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);PointOnCurve(LeftVertex(G), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 6923,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6924,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6924.png",
+      "answer": "3",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x);k: Number;Negation(k=0);C: Hyperbola;Expression(C) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;A: Point;B: Point;Intersection(H, C) = {A, B};E: Circle;IsDiameter(LineSegmentOf(A, B), E);F: Point;RightFocus(C) = F;PointOnCurve(F, E);Area(TriangleOf(O, A, F)) = 4*a^2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 6925,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6925.png",
+      "answer": "4/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6926,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_6926.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Eccentricity(C) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6927,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6927.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(4*x-3*y=0)",
+      "coords": {}
+    },
+    {
+      "index": 6928,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6928.png",
+      "answer": "(2,2)",
+      "fact_expr": "C: Hyperbola;O: Origin;P: Point;Expression(C) = (-x^2/4 + y^2/4 = 1);Quadrant(P)=1;PointOnCurve(P,Asymptote(C));Abs(LineSegmentOf(O, P)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 6929,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6929.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2=2*p*x);p: Number;p>0;F: Point;Focus(C) = F;A: Point;B: Point;Quadrant(A) = 1;Quadrant(B) = 1;PointOnCurve(A,C) = True;PointOnCurve(B,C) = True;O: Origin;AngleOf(A,F,O)=AngleOf(A,F,B);AngleOf(A,F,B) = pi/3;Area(TriangleOf(A,F,B)) = 3*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6930,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6931,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6932,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6932.png",
+      "answer": "[1, sqrt(2)]",
+      "fact_expr": "G: Parabola;P: Point;A: Point;F: Point;x0: Number;y0: Number;Expression(G) = (y^2 = 8*x);Coordinate(P) = (x0, y0);Coordinate(A) = (-2, 0);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6933,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6933.png",
+      "answer": "1",
+      "fact_expr": "O: Circle;A: Point;B: Point;M: Point;b:Number;lambda:Number;Negation(b=-2);Expression(O) = (x^2 + y^2 = 1);Coordinate(A) = (-2, 0);Coordinate(B) = (b, 0);PointOnCurve(M,O);Abs(LineSegmentOf(M,B))=lambda*Abs(LineSegmentOf(M,A));Vertex(O)=B",
+      "coords": {}
+    },
+    {
+      "index": 6934,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6934.png",
+      "answer": "x+2*y-8=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/36 + y^2/9 = 1);Z: LineSegment;IsChordOf(Z, G);A: Point;Coordinate(A) = (4, 2);MidPoint(Z) = A",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6935,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6935.png",
+      "answer": "3/2 - sqrt(2)",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;A: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (0, 1);Focus(G) =F;Intersection(LineSegmentOf(F,M),G)=A",
+      "coords": {
+        "M": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6936,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6936.png",
+      "answer": "pm*2*sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Circle;a: Number;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y^2 + (-a + x)^2 = 4);IsTangent(G, Asymptote(H))",
+      "coords": {}
+    },
+    {
+      "index": 6937,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 0.11525513976812363,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.05289620906114578,
+        "converged": true,
+        "iterations": 67
+      },
+      "output_path": "results/train/parabola/problem_6937.png",
+      "answer": "1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;H: Point;Coordinate(H) = (2, 1);PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          2.0,
+          1.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 6938,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6938.png",
+      "answer": "(1/2, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;LeftFocus(G) = F1;A: Point;RightVertex(G) = A;H: Circle;IsDiameter(LineSegmentOf(F1, A), H);NumIntersection(H, G) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6939,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6939.png",
+      "answer": "(-1, 1)",
+      "fact_expr": "H: Line;Expression(H) = (y = k*x - 1);k: Number;G: Hyperbola;Expression(G) = (x^2 - y^2 = 4);NumIntersection(H, LeftPart(G)) = 1;NumIntersection(H, RightPart(G)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6940,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6940.png",
+      "answer": "(2, 2)",
+      "fact_expr": "A: Point;Coordinate(A) = (3, 2);G: Parabola;Expression(G) = (y^2 = 2*x);F: Point;Focus(G) = F;P: Point;PointOnCurve(P, G);WhenMin(Abs(LineSegmentOf(P, A))+Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          3.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6941,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6941.png",
+      "answer": "y=pm*2*x/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/a = 1);a: Number;Coordinate(RightFocus(G)) = (sqrt(13), 0)",
+      "coords": {}
+    },
+    {
+      "index": 6942,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          1.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_6942.png",
+      "answer": "(x^2/4+y^2/3=1)&Negation(x=-2)",
+      "fact_expr": "M: Circle;Expression(M) = (y^2 + (x + 1)^2 = 1);N: Circle;Expression(N) = ((x-1)^2 + y^2 = 9);P: Circle;IsOutTangent(P, M) = True;IsInTangent(P, N) = True;C: Curve;P1: Point;Center(P) = P1;Locus(P1) = C",
+      "coords": {}
+    },
+    {
+      "index": 6943,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6943.png",
+      "answer": "(2,2*sqrt(2))",
+      "fact_expr": "C: Parabola;A: Point;P: Point;Expression(C) = (y^2 = 4*x);Coordinate(A) = (3, 4*sqrt(2));PointOnCurve(P, C);WhenMin(Distance(P, A)+Distance(P, Directrix(C)))",
+      "coords": {
+        "A": [
+          3.0,
+          5.656854249492381
+        ]
+      }
+    },
+    {
+      "index": 6944,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6944.png",
+      "answer": "(1/4,1)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);Q: Point;PointOnCurve(Q, C);B: Point;Coordinate(B) = (4, 1);F:Point;Focus(C)=F;WhenMin(Distance(Q,B)+Distance(Q,F))",
+      "coords": {
+        "B": [
+          4.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6945,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6945.png",
+      "answer": "8",
+      "fact_expr": "M: Point;Coordinate(M) = (2, 0);G: Line;PointOnCurve(M, G);Slope(G) = sqrt(3);C: Parabola;Expression(C) = (y^2 = a*x);a: Number;a>0;l: Line;Directrix(C) = l;A: Point;B: Point;Intersection(G, l) = B;OneOf(Intersection(G, C)) = A;VectorOf(B, M) = VectorOf(M, A)",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6946,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6946.png",
+      "answer": "3+2*sqrt(2)",
+      "fact_expr": "l: Line;G: Hyperbola;M: Point;F1: Point;F2: Point;N: Point;Expression(G) = (x^2/4 - y^2/2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(F2,l);Inclination(l)=pi/4;Intersection(l,G)={M,N};Quadrant(M)=1;Radius(InscribedCircle(TriangleOf(M,F1,F2)))=R1;Radius(InscribedCircle(TriangleOf(N,F1,F2)))=R2;R1:Number;R2:Number",
+      "coords": {}
+    },
+    {
+      "index": 6947,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6948,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6949,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6949.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Negation(a = b);Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(G) = F2;LeftFocus(G) = F1;l: Line;PointOnCurve(F2, l);IsPerpendicular(l, Asymptote(G));FootPoint(l, Asymptote(G)) = P;Tan(AngleOf(P, F1, F2)) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 6950,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6951,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6951.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;P: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G)={F1,F2};PointOnCurve(P,G);AngleOf(F1,P,F2)=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 6952,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6953,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6953.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;a: Number;P: Point;F: Point;a>0;y0:Number;Expression(G) = (y^2 = a*x);Coordinate(P) = (3/2, y0);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = 2",
+      "coords": {}
+    },
+    {
+      "index": 6954,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6954.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;M: Point;I: Point;F1: Point;F2: Point;N: Point;Expression(G) = (x^2/9 + y^2/5 = 1);PointOnCurve(M, G);Focus(G) = {F1, F2};Incenter(TriangleOf(M, F1, F2)) = I;Intersection(OverlappingLine(LineSegmentOf(M, I)), LineSegmentOf(F1, F2)) = N",
+      "coords": {}
+    },
+    {
+      "index": 6955,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6956,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6956.png",
+      "answer": "2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);O:Origin;Vertex(C) = O;G: Line;PointOnCurve(Focus(C), G) = True;IsPerpendicular(G, xAxis) = True;Intersection(G, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 6957,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6958,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6958.png",
+      "answer": "sqrt(105)/6",
+      "fact_expr": "l: Line;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);FocalLength(C)=2;b: Number;a: Number;A: Point;B: Point;Q: Point;O: Origin;P: Point;a > b;b > 0;Coordinate(Q) = (1, 1);PointOnCurve(P, C);Max(Distance(P,OneOf(Focus(C))) = 3);PointOnCurve(Q, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A, B)) = Q",
+      "coords": {
+        "Q": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6959,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7994307279586792,
+        "b": 1.695713604329748,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.1180587689958606e-05,
+        "converged": true,
+        "iterations": 86
+      },
+      "output_path": "results/train/ellipse/problem_6959.png",
+      "answer": "{8,81/8}",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (y^2/9 + x^2/m = 1);Eccentricity(G) = 1/3",
+      "coords": {}
+    },
+    {
+      "index": 6960,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6960.png",
+      "answer": "(sqrt(2)+2-sqrt(6))/2",
+      "fact_expr": "F1: Point;F2: Point;G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;PointOnCurve(M, G) = True;AngleOf(M, F1, F2) = ApplyUnit(30, degree);AngleOf(M, F2, F1) = ApplyUnit(105, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6961,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6961.png",
+      "answer": "NO ANSWER",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (1, 0);PointOnCurve(P, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, P)) = 2",
+      "coords": {
+        "P": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6962,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_6962.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;F: Point;O: Origin;M: Point;L: Line;Expression(L) = (x = -2);Coordinate(F) = (1, 0);Vertex(G) = O;Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6963,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6963.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G);F: Point;Focus(G) = F;Distance(M, F) = 4",
+      "coords": {}
+    },
+    {
+      "index": 6964,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6964.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Line;Expression(H) = (2*x + y + 3 = 0);IsParallel(OneOf(Asymptote(G)), H) = True",
+      "coords": {}
+    },
+    {
+      "index": 6965,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6965.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;Expression(G) = (y^2/9 - x^2/a^2 = 1);a: Number;a>0;F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F2)) = 2;lambda: Number;Sin(AngleOf(P, F2, F1)) = lambda*Sin(AngleOf(P, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 6966,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6966.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;A: Point;B: Point;M: Point;e: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(M) = (-2, 1);PointOnCurve(M, H);Slope(H) = 1/2;Intersection(H, G) = {A, B};Negation(A = B);MidPoint(LineSegmentOf(A, B)) = M;Eccentricity(G) = e",
+      "coords": {
+        "M": [
+          -2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6967,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6968,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6968.png",
+      "answer": "3/2",
+      "fact_expr": "G: Parabola;M: Point;O: Origin;Expression(G) = (y^2 = 2*x);PointOnCurve(M, G);Distance(M, O) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6969,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6969.png",
+      "answer": "2*sqrt(10)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/9 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G) = True;DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 6970,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6970.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;F1: Point;P: Point;F2: Point;H:Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;IsPerpendicular(H,OneOf(Asymptote(G)));PointOnCurve(F1,H);Intersection(H,RightPart(G))=P;AngleOf(F1, P, F2) = pi/4",
+      "coords": {}
+    },
+    {
+      "index": 6971,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6971.png",
+      "answer": "1-(sqrt(3)/3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;A: Point;P: Point;F: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);RightFocus(C)=F;LeftVertex(C)=A;PointOnCurve(P, C);IsPerpendicular(LineSegmentOf(P,F),xAxis);Inclination(LineOf(P,A))=ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 6972,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6972.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;A: Point;C:Hyperbola;Expression(G) = (-x^2/9 + y^2/16 = 1);Coordinate(A) = (-3,2*sqrt(3));Asymptote(G) = Asymptote(C);PointOnCurve(A,C)",
+      "coords": {
+        "A": [
+          -3.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 6973,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6973.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Eccentricity(C) = sqrt(3)/2;FocalLength(C) = 2*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 6974,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6974.png",
+      "answer": "3*x+4*y-7=0",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);A: Point;B: Point;IsChordOf(LineSegmentOf(A,B),G) = True;MidPoint(LineSegmentOf(A,B)) = P;Coordinate(P) = (1,1);P: Point",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6975,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6976,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6976.png",
+      "answer": "x+y-1=0",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;Slope(l) = -1;l: Line;Intersection(l, C) = {M, N};M: Point;N: Point;Abs(LineSegmentOf(M, F)) + Abs(LineSegmentOf(N, F)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 6977,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6977.png",
+      "answer": "y=-2",
+      "fact_expr": "l: Line;C: Parabola;F: Point;A: Point;B: Point;P:Point;Expression(C) = (x^2 = 8*y);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};TangentOnPoint(A,C)=l1;TangentOnPoint(B,C)=l2;Intersection(l1,l2)=P",
+      "coords": {}
+    },
+    {
+      "index": 6978,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6979,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6979.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x^2 + 1);NumIntersection(Asymptote(G),H)=2",
+      "coords": {}
+    },
+    {
+      "index": 6980,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6980.png",
+      "answer": "[sqrt(3)/3, sqrt(2)/2]",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;F1: Point;F2: Point;c: Number;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = c^2",
+      "coords": {}
+    },
+    {
+      "index": 6981,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6981.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (1, 1);PointOnCurve(P, l);Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6982,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6982.png",
+      "answer": "7*sqrt(2)/2",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;P: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(A) = (-2, 0);Coordinate(B) = (0, 2);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -2.0,
+          0.0
+        ],
+        "B": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 6983,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6984,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6985,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6985.png",
+      "answer": "8*sqrt(2)",
+      "fact_expr": "C: Ellipse;l: Line;P: Point;Q: Point;F: Point;Expression(C) = (x^2/8 + y^2/4 = 1);Expression(l) = (x - sqrt(3)*y + 2 = 0);RightFocus(C) = F;Intersection(C,l) = {P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 6986,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6986.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;PointOnCurve(LeftFocus(G), L) = True;IsPerpendicular(L, xAxis) = True;L: Line;Intersection(L, G) = {M, N};M: Point;N: Point;IsDiameter(LineSegmentOf(M, N), V) = True;PointOnCurve(RightVertex(G), V) = True;V: Circle",
+      "coords": {}
+    },
+    {
+      "index": 6987,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6987.png",
+      "answer": "[0, \\sqrt{5}-2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);x0: Number;y0: Number;M: Point;Coordinate(M) = (x0, y0);PointOnCurve(M, G);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (-1, 0);DotProduct(VectorOf(M, F), VectorOf(M, P)) < 0",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 6988,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6988.png",
+      "answer": "4*x+9*y-13=0",
+      "fact_expr": "l: Line;M: Point;Coordinate(M) = (1, 1);PointOnCurve(M, l);G: Ellipse;Expression(G) = (x^2/4 + y^2/9 = 1);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 6989,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6989.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;a: Number;P: Point;F1: Point;F2: Point;a>0;Expression(G) = (-y^2/9 + x^2/a^2 = 1);PointOnCurve(P, G);Expression(OneOf(Asymptote(G))) = (3*x - 2*y = 0);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(P, F1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 6990,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_6990.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Expression(OneOf(Asymptote(C))) = (y = 2*x)",
+      "coords": {}
+    },
+    {
+      "index": 6991,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_6991.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;m: Real;Expression(G) = (x^2/4 - y^2/3 = 1);Expression(H) = (y^2 = m*x);Focus(H) = RightVertex(G)",
+      "coords": {}
+    },
+    {
+      "index": 6992,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6993,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6993.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;E: Parabola;A: Point;B: Point;O: Origin;C:Point;Expression(l) = (y = k*(x - 1));Expression(E) = (y^2 = 4*x);Intersection(l, E) = {A, B};Intersection(OverlappingLine(LineSegmentOf(A,B)),Directrix(E))=C;Area(TriangleOf(O,A,B))=Area(TriangleOf(O,B,C));k:Number;k>0",
+      "coords": {}
+    },
+    {
+      "index": 6994,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6994.png",
+      "answer": "3/4",
+      "fact_expr": "C: Parabola;H: Line;B: Point;A: Point;F: Point;G: Point;O: Origin;Expression(C) = (y^2 = 2*x);Focus(C)=F;PointOnCurve(F, H);Intersection(H, C) = {A, B};L:Line;PointOnCurve(F,L);IsPerpendicular(LineSegmentOf(A,B),L);Intersection(L,Directrix(C))=G;Abs(LineSegmentOf(F, G)) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 6995,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6995.png",
+      "answer": "{0,-1/2}",
+      "fact_expr": "l: Line;C: Parabola;m: Real;Expression(C) = (y^2 = 8*x);Expression(l)=(y=m*x-4);NumIntersection(l, C) = 1",
+      "coords": {}
+    },
+    {
+      "index": 6996,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6996.png",
+      "answer": "9/2",
+      "fact_expr": "G: Ellipse;P: Point;F1:Point;F2:Point;OneOf(Focus(G))=F1;OneOf(Focus(G))=F2;Negation(F1=F2);Expression(G) = (x^2/4 + y^2/9 = 1);PointOnCurve(P, G);Distance(P, F1) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 6997,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_6997.png",
+      "answer": "(4, +oo)",
+      "fact_expr": "G: Ellipse;m: Number;Expression(G) = (x^2/4 + y^2/m = 1);PointOnCurve(Focus(G), yAxis)",
+      "coords": {}
+    },
+    {
+      "index": 6998,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 6999,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_6999.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F,l) = True;Slope(l) = k;k: Number;k>0;Intersection(l,G) = {A,B};A: Point;B: Point;Directrix(G) = q;q: Line;Intersection(q,l) = M;M: Point;Abs(LineSegmentOf(A, F)) = (3/2)*Abs(LineSegmentOf(B, M))",
+      "coords": {}
+    },
+    {
+      "index": 7000,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7001,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7001.png",
+      "answer": "5 + sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);H: Circle;Expression(H) = (y^2 + (x + 3)^2 = 2);C: Circle;Expression(C) = (y^2 + (x - 3)^2 = 1);P: Point;M: Point;N: Point;PointOnCurve(P, RightPart(G));PointOnCurve(M, H);PointOnCurve(N, C)",
+      "coords": {}
+    },
+    {
+      "index": 7002,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7002.png",
+      "answer": "9",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Focus(G) = F;Distance(P, F) = 10",
+      "coords": {}
+    },
+    {
+      "index": 7003,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7003.png",
+      "answer": "2*b^2/a",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: LineSegment;IsChordOf(H, G);PointOnCurve(Focus(G), H);IsPerpendicular(H, xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 7004,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_7004.png",
+      "answer": "x^2/9 + y^2/4 = 1",
+      "fact_expr": "G: Circle;P: Point;D: Point;M: Point;Expression(G) = (x^2 + y^2 = 9);PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, D), xAxis);FootPoint(LineSegmentOf(P, D), xAxis) = D;PointOnCurve(M, LineSegmentOf(P, D));VectorOf(P, M) = (1/3)*VectorOf(P, D)",
+      "coords": {}
+    },
+    {
+      "index": 7005,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7006,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7007,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.196152422706632,
+        "b": 5.0990195135927845,
+        "major_axis": "x",
+        "x_coef": 27.0,
+        "y_coef": 26.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7007.png",
+      "answer": "40",
+      "fact_expr": "G: Ellipse;H: Circle;A: Point;B: Point;M: Point;Expression(G) = (x^2/27 + y^2/26 = 1);Expression(H) = (y^2 + (x - 1)^2 = 8);PointOnCurve(M, G);IsDiameter(LineSegmentOf(A, B), H)",
+      "coords": {}
+    },
+    {
+      "index": 7008,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7008.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);l: Line;Directrix(G) = l;P: Point;PointOnCurve(P, l) = True;TangentOfPoint(P, G) = {LineOf(P, A), LineOf(P, B)};TangentPoint(LineOf(P, A), G) = A;TangentPoint(LineOf(P, B), G) = B;B: Point;A: Point;Inclination(LineOf(A, B)) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 7009,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7010,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7010.png",
+      "answer": "5/7",
+      "fact_expr": "C: Ellipse;a: Number;b: Number;G: Line;A: Point;F: Point;B: Point;O: Origin;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F;PointOnCurve(O, G);Intersection(C, G) = {A, B};Abs(LineSegmentOf(A, B)) = 10;Abs(LineSegmentOf(B, F)) = 8;Cos(AngleOf(A, B, F)) = 4/5",
+      "coords": {}
+    },
+    {
+      "index": 7011,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7011.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;l: Line;A: Point;B: Point;M: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(M) = (-1, 0);PointOnCurve(M,l);Intersection(l, G) = {A,B};Focus(G) = F;Abs(LineSegmentOf(B, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(B, M))",
+      "coords": {
+        "M": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7012,
+      "success": false,
+      "error": "\n= 1 $ $ (a > b > 0) $, the left vertex is $ A $, the right focus is $\n    ^\nParseException: Expected end of text, found '$'  (at char 4), (line:1, col:5)"
+    },
+    {
+      "index": 7013,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7013.png",
+      "answer": "10",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C) = True;N: Point;Coordinate(N) = (0, 4);AngleOf(M, N, F) = ApplyUnit(90, degree)",
+      "coords": {
+        "N": [
+          0.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7014,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7014.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;O: Origin;F: Point;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(O, F) = (VectorOf(O, A) + VectorOf(O, B))/2",
+      "coords": {}
+    },
+    {
+      "index": 7015,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7015.png",
+      "answer": "sqrt(22)/2",
+      "fact_expr": "G: Hyperbola;a: Number;b: Number;P: Point;F2: Point;F1: Point;O:Origin;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);Distance(P, O) = b;Sin(AngleOf(P, F2, F1)) = 2*Sin(AngleOf(P, F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7016,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_focus_mismatch",
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7016.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;m: Number;F1: Point;m>0;Expression(G) = (x^2/25 + y^2/m^2 = 1);Coordinate(F1) = (-4, 0);LeftFocus(G) = F1",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_focus_mismatch"
+      ]
+    },
+    {
+      "index": 7017,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7017.png",
+      "answer": "4/5",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;I: Point;lambda:Number;F1: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Incenter(TriangleOf(P,F1,F2))=I;Area(TriangleOf(I,P,F2))=Area(TriangleOf(I,P,F1))-lambda*Area(TriangleOf(I,F1,F2))",
+      "coords": {}
+    },
+    {
+      "index": 7018,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7018.png",
+      "answer": "x = -2",
+      "fact_expr": "O: Origin;C: Parabola;F: Point;P: Point;p: Number;Q: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(P, C) = True;IsPerpendicular(LineSegmentOf(P, F), xAxis) = True;PointOnCurve(Q, yAxis);IsPerpendicular(LineSegmentOf(P, Q), LineSegmentOf(O, P)) = True;Abs(LineSegmentOf(P, Q)) = sqrt(5)",
+      "coords": {}
+    },
+    {
+      "index": 7019,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7019.png",
+      "answer": "1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);P: Point;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 7020,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7020.png",
+      "answer": "-9",
+      "fact_expr": "Q: Point;Coordinate(Q) = (2, 0);G: Line;PointOnCurve(Q, G) = True;C: Parabola;Expression(C) = (y^2 = 2*x);OneOf(Intersection(G, C)) = A;A: Point;Intersection(G, yAxis) = D;D: Point;VectorOf(D, A) = 2*VectorOf(D, Q);P: Point;PointOnCurve(P, C) = True",
+      "coords": {
+        "Q": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7021,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7021.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);FocalLength(C) = 4*sqrt(3);Length(RealAxis(C)) = 4*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 7022,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7022.png",
+      "answer": "2*sqrt(3)/3 - 1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7023,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7023.png",
+      "answer": "pm*4/3",
+      "fact_expr": "l: Line;C: Parabola;A: Point;M: Point;B: Point;k: Real;Expression(C) = (y^2 = 16*x);Expression(l) = (y = k*x - 4*k);Intersection(SymmetryAxis(C),Directrix(C))=M;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, M)) = 4*Abs(LineSegmentOf(B, M))",
+      "coords": {}
+    },
+    {
+      "index": 7024,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0625,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7024.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (y = 4*x^2);PointOnCurve(A, G);Distance(A, Focus(G)) = 33/16",
+      "coords": {}
+    },
+    {
+      "index": 7025,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_7025.png",
+      "answer": "(x-2)^2+y^2=1/4",
+      "fact_expr": "G: Curve;B: Point;A: Point;P: Point;Expression(G) = (x^2 + y^2 = 1);Coordinate(A) = (4, 0);PointOnCurve(B, G);MidPoint(LineSegmentOf(A,B)) = P",
+      "coords": {}
+    },
+    {
+      "index": 7026,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7026.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;O: Origin;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);DotProduct(VectorOf(P, F1),(VectorOf(O,F1)+VectorOf(O,P)))=0;Abs(VectorOf(P, F1)) = 2*Abs(VectorOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7027,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7027.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;P: Point;F: Point;m:Number;Expression(G) = (y^2 = 4*x);Coordinate(P) = (m, 2*sqrt(3));PointOnCurve(P, G);Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 7028,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7028.png",
+      "answer": "(1+sqrt(5))/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;F: Point;A: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(B) = (0, b);LeftFocus(C) = F;RightVertex(C) = A;DotProduct(VectorOf(F, B), VectorOf(A, B)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 7029,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7029.png",
+      "answer": "28",
+      "fact_expr": "G: Hyperbola;A: Point;B: Point;F1:Point;F2: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;IsChordOf(LineSegmentOf(A,B),G);PointOnCurve(F1,LineSegmentOf(A,B));Length(LineSegmentOf(A,B))=6",
+      "coords": {}
+    },
+    {
+      "index": 7030,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7030.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;p: Number;M: Point;F: Point;N: Point;p>0;l:Line;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(M, C);Directrix(C)=l;PointOnCurve(N,l);VectorOf(F, N) + 3*VectorOf(M, F) = 0;-p + 2*Abs(LineSegmentOf(M, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7031,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7032,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7032.png",
+      "answer": "y = -2",
+      "fact_expr": "C: Parabola;Expression(C) = (x^2 = 2*p*y);p: Number;p>0;Distance(Focus(C), Directrix(C)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7033,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7034,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7034.png",
+      "answer": "x^2 = -4\\sqrt{5}y",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/4 + y^2/9 = 1);Focus(G) = LowerFocus(H);Vertex(G) = Center(H)",
+      "coords": {}
+    },
+    {
+      "index": 7035,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7035.png",
+      "answer": "-1/4",
+      "fact_expr": "G: Parabola;Expression(G) = (y = a*x^2);a: Real;F: Point;Coordinate(F) = (0, -1);Focus(G) = F",
+      "coords": {
+        "F": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 7036,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 5.196152422706632,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7036.png",
+      "answer": "14",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/27 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};A: Point;PointOnCurve(A, G);Abs(LineSegmentOf(A, F1)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 7037,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.0416666679084301,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7037.png",
+      "answer": "(0,1/24)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 6*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 7038,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7038.png",
+      "answer": "{1, 3}",
+      "fact_expr": "l: Line;C: Parabola;B: Point;D: Point;F: Point;A: Point;m: Line;p: Number;p > 0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Directrix(C) = m;Intersection(l, m) = D;Abs(LineSegmentOf(B, D)) = 2*Abs(LineSegmentOf(F, B));Abs(LineSegmentOf(F, A)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7039,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7040,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7040.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;B: Point;F: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;Directrix(C) = l;PointOnCurve(F, G);Intersection(G, C) = {A, B};A1: Point;B1: Point;IsPerpendicular(LineSegmentOf(A, A1), l);IsPerpendicular(LineSegmentOf(B, B1), l);FootPoint(LineSegmentOf(A, A1), l) = A1;FootPoint(LineSegmentOf(B, B1), l) = B1;Abs(LineSegmentOf(A1, F)) = 2*sqrt(3);Abs(LineSegmentOf(B1, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7041,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7041.png",
+      "answer": "y = pm*(3/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/16 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7042,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7042.png",
+      "answer": "x^2/5+y^2=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x + 2*y - 2 = 0);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(OneOf(Vertex(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 7043,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.7085586085307979,
+        "b": 0.7085586085307979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.0145607782384324e-05,
+        "converged": true,
+        "iterations": 73
+      },
+      "output_path": "results/train/hyperbola/problem_7043.png",
+      "answer": "x^2/(2/3)-y^2/(1/3)=1",
+      "fact_expr": "Gamma: Hyperbola;P: Point;PointOnCurve(P, Gamma) = True;F1: Point;Coordinate(F1) = (-1, 0);F2: Point;Coordinate(F2) = (1, 0);d1: Number;d2: Number;Distance(P, F1) = d1;Distance(P, F2) = d2;theta: Number;AngleOf(F1, P, F2) = 2*theta;d1*d2*Sin(theta)^2 = 1/3",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7044,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7044.png",
+      "answer": "x=3",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -12*x)",
+      "coords": {}
+    },
+    {
+      "index": 7045,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2175992727279663,
+        "b": 2.434081792831421,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 3.452532837400213e-06,
+        "converged": true,
+        "iterations": 124
+      },
+      "output_path": "results/train/hyperbola/problem_7045.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G))) = (y = 2*x);Distance(Focus(G), Asymptote(G)) = 2;a>0",
+      "coords": {}
+    },
+    {
+      "index": 7046,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7046.png",
+      "answer": "x^2 - y^2/3 = 1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Coordinate(OneOf(Focus(C))) = (2, 0);l: Line;Expression(l) = (x + sqrt(3)*y = 0);IsPerpendicular(OneOf(Asymptote(C)),l)",
+      "coords": {}
+    },
+    {
+      "index": 7047,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7047.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;m: Number;Expression(C) = (x^2/3 + y^2/m = 1);Length(MajorAxis(C)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7048,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7049,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7049.png",
+      "answer": "{1, 3}",
+      "fact_expr": "G: Parabola;H: Line;I: Point;O: Origin;A: Point;B: Point;m: Number;Expression(G) = (y^2 = 4*x);Coordinate(I) = (m, 0);PointOnCurve(I, H);Intersection(G, H) = {A, B};LineSegmentOf(O, A)*LineSegmentOf(O, B) = -3",
+      "coords": {}
+    },
+    {
+      "index": 7050,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7050.png",
+      "answer": "1/10",
+      "fact_expr": "G: Curve;Expression(G) = (y = x^2);Coordinate(A) = (a, a^2);A: Point;PointOnCurve(A, G) = True;a: Number;In(a, (0, 5]);M: Point;Coordinate(M) = (0, 1/(a^2 + a + 4));PointOnCurve(M, yAxis) = True;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 7051,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7052,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7052.png",
+      "answer": "4*a",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F1, H);A: Point;B: Point;Intersection(H, LeftPart(G)) = {A, B};Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2)) = 2*Abs(LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 7053,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 5.656854249492381,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7053.png",
+      "answer": "2",
+      "fact_expr": "A: Point;Coordinate(A) = (x0, y0);x0: Number;y0: Number;G: Hyperbola;Expression(G) = (x^2/4 - y^2/32 = 1);PointOnCurve(A, RightPart(G)) = True;Distance(A, RightFocus(G)) = 2*x0",
+      "coords": {}
+    },
+    {
+      "index": 7054,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7054.png",
+      "answer": "3",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2 + y^2/m = 1);m: Number;m>0;PointOnCurve(P, G);H: Line;Expression(H) = (y = x + 4);Q: Point;PointOnCurve(Q, H);Min(LineSegmentOf(P, Q)) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 7055,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7055.png",
+      "answer": "16*sqrt(3)",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (16*x^2 - 9*y^2 = 144);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 64",
+      "coords": {}
+    },
+    {
+      "index": 7056,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7056.png",
+      "answer": "10/3",
+      "fact_expr": "C: Parabola;P: Point;F: Point;Q: Point;l: Line;Expression(C) = (y^2 = 4*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);Intersection(OverlappingLine(LineSegmentOf(P, F)), C) = Q;2*VectorOf(F, P) + 3*VectorOf(F, Q) =0",
+      "coords": {}
+    },
+    {
+      "index": 7057,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7058,
+      "success": false,
+      "conic_type": "parabola",
+      "error": "validation: parabola_point_off_curve",
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7058.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "H: Point;Coordinate(H) = (1, 0);G: Line;Inclination(G) = (2*pi)/3;PointOnCurve(H, G);A: Point;B: Point;Z: Curve;Expression(Z) = (y^2 = 4*x);Intersection(G, Z) = {A, B};IsChordOf(LineSegmentOf(A, B), Z)",
+      "coords": {
+        "H": [
+          1.0,
+          0.0
+        ]
+      },
+      "validation_reasons": [
+        "parabola_point_off_curve"
+      ]
+    },
+    {
+      "index": 7059,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7059.png",
+      "answer": "{x^2 = -20*y, x^2 = 4*y}",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = m*y);m: Number;Z: Line;Expression(Z) = (y = 2);Distance(Directrix(G), Z) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7060,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7060.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;l1:Line;l2:Line;P: Point;Expression(C) = (y^2 = 4*x);Expression(l2) = (y=x+1);Expression(l1) = (x = -1);PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 7061,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7062,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7062.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;G: Circle;Expression(G) = (x^2 + y^2 = a^2);L1: Line;L2: Line;TangentOfPoint(OneOf(Focus(C)), G) = {L1, L2};TangentPoint(L1, G) = A;TangentPoint(L2, G) = B;A: Point;B: Point;AngleOf(A, O, B) = ApplyUnit(120, degree);O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 7063,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7063.png",
+      "answer": "4/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G)= F;PointOnCurve(F,l);Intersection(l,G) = {A, B};Abs(LineSegmentOf(A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7064,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7064.png",
+      "answer": "(10, 0)",
+      "fact_expr": "O: Origin;C: Parabola;Expression(C) = (y^2 = 8*x);F: Point;Focus(C) = F;P: Point;PointOnCurve(P, C) ;IsPerpendicular(LineSegmentOf(P, F), xAxis) ;Q: Point;PointOnCurve(Q, xAxis) ;PointOnCurve(P, G) ;IsDiameter(LineSegmentOf(O, Q), G);G: Circle",
+      "coords": {}
+    },
+    {
+      "index": 7065,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7065.png",
+      "answer": "(0, 1]",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;H: Point;N: Point;F: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(A,G);PointOnCurve(B,G);AngleOf(A, F, B) = ApplyUnit(60, degree);IsChordOf(LineSegmentOf(A,B),G);MidPoint(LineSegmentOf(A,B))=H;PointOnCurve(H,LineOf(H,N));IsPerpendicular(Directrix(G),LineOf(H,N));FootPoint(Directrix(G),LineOf(H,N))=N",
+      "coords": {}
+    },
+    {
+      "index": 7066,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7067,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7067.png",
+      "answer": "y=pm*(1/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7068,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7068.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;E: Curve;l: Line;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(E) = (y^2 + (x - 2)^2 = 4);OneOf(Asymptote(C)) = l;Slope(l) > 0;F1: Point;F2: Point;F3: Point;PointOnCurve(F1, E);PointOnCurve(F2, E);PointOnCurve(F3, E);Distance(F1, l) = 1;Distance(F2, l) = 1;Distance(F3, l) = 1;Negation(F1 = F2);Negation(F2 = F3);Negation(F1 = F3)",
+      "coords": {}
+    },
+    {
+      "index": 7069,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7070,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7070.png",
+      "answer": "[41,49]",
+      "fact_expr": "l: Line;G: Ellipse;a:Number;b:Number;C: Point;A: Point;B: Point;Expression(G) = (x^2 + y^2/9 = 1);Expression(l) = (a*x + b*y = 0);Coordinate(C) = (5, 5);Intersection(l, G) = {A, B}",
+      "coords": {
+        "C": [
+          5.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 7071,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7072,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7073,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7073.png",
+      "answer": "[4*sqrt(3)/3,+oo)",
+      "fact_expr": "C: Curve;Expression(C) = (x^2/4 + y^2/b^2 = 1);b: Number;b>0;l: Line;Expression(l) = (k + k*x - y + 2 = 0);k: Number;IsIntersect(C, l) = True",
+      "coords": {}
+    },
+    {
+      "index": 7074,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7074.png",
+      "answer": "(x-1)^2+y^2=4",
+      "fact_expr": "G: Ellipse;H: Circle;Expression(G)=(x^2/4+y^2/3=1);RightFocus(G)=F;Center(H)=F;F:Point;PointOnCurve(Endpoint(MinorAxis(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 7075,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7075.png",
+      "answer": "7",
+      "fact_expr": "G: Hyperbola;a: Number;H: Circle;M: Point;N: Point;F: Point;a>0;Expression(G) = (-y^2/12 + x^2/a^2 = 1);Expression(H) = (x^2 + (y - 3)^2 = 4);Expression(OneOf(Asymptote(G))) = (sqrt(3)*x - y = 0);LeftFocus(G) = F;PointOnCurve(M, RightPart(G));PointOnCurve(N, H)",
+      "coords": {}
+    },
+    {
+      "index": 7076,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_7076.png",
+      "answer": "sqrt(7)/4",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Circle;c: Number;P: Point;F1: Point;F2: Point;N: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = c^2);LeftFocus(C) = F1;RightFocus(C) = F2;Eccentricity(C) = 2;PointOnCurve(P, RightPart(C));MidPoint(LineSegmentOf(P, F1)) = N;PointOnCurve(N, O);HalfFocalLength(C) = c",
+      "coords": {}
+    },
+    {
+      "index": 7077,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7077.png",
+      "answer": "(1, 2*sqrt(3)/3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(G) = F;PointOnCurve(F, H) = True;Inclination(H) = ApplyUnit(30, degree);H: Line;NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7078,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7079,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7079.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7080,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7080.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;M: Point;N: Point;F: Point;Expression(G) = (x^2/4 + y^2/2 = 1);RightFocus(G) = F;PointOnCurve(M, yAxis);PointOnCurve(N, yAxis);DotProduct(VectorOf(M, F), VectorOf(N, F)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 7081,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7081.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);F1: Point;P: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7082,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7082.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F2: Point;F1: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P,G);DotProduct(VectorOf(P,F1),VectorOf(P,F2))=0",
+      "coords": {}
+    },
+    {
+      "index": 7083,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7084,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 27.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7084.png",
+      "answer": "6",
+      "fact_expr": "G: Ellipse;O: Origin;B: Point;A: Point;F1: Point;C: Point;F2: Point;Expression(G) = (x^2/36 + y^2/27 = 1);LeftFocus(G)= F1;RightFocus(G) = F2;PointOnCurve(A, G);VectorOf(O, B) = (VectorOf(O, A) + VectorOf(O, F1))/2;VectorOf(O, C) = 1/2*(VectorOf(O,A)+VectorOf(O,F2))",
+      "coords": {}
+    },
+    {
+      "index": 7085,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7085.png",
+      "answer": "sqrt(10)/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P,C);IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2));Abs(LineSegmentOf(P,F1))=3*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 7086,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7086.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);F1: Point;F2: Point;Focus(G) = {F1, F2};P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F2), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 7087,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7087.png",
+      "answer": "(2*sqrt(21))/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (0, 2)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7088,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7088.png",
+      "answer": "(2, 0)\nsqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7089,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7089.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;C: Circle;r: Number;Expression(G) = (x^2 - y^2 = 1);r>0;Expression(C) = (y^2 + (x - 2)^2 = r^2);Length(InterceptChord(OneOf(Asymptote(G)),C))=2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 7090,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7090.png",
+      "answer": "2*sqrt(5) - 1",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Q: Point;Coordinate(Q) = (3, 4);Focus(G) = F;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7091,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7091.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "H: Circle;O: Origin;Center(H) = O;Intersection(H, xAxis) = {A, B};A: Point;B: Point;Focus(G) = {A, B};G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;IsIntersect(H, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 7092,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7092.png",
+      "answer": "[-2,2]",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 16);P:Point;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 7093,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7094,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7094.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(C) = F;l: Line;Expression(l) = (y = m + x);m: Number;Intersection(l, C) = {M, N};M: Point;N: Point;Abs(LineSegmentOf(M, F)) = 2;Abs(LineSegmentOf(N, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7095,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7095.png",
+      "answer": "a/(sqrt(a^2+b^2))",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;I: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;Incenter(TriangleOf(P, F1, F2))=I;Area(TriangleOf(I,P, F1))=Area(TriangleOf(I,P,F2)) +lambda*Area(TriangleOf(I,F1,F2));lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 7096,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7096.png",
+      "answer": "y = -1",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;B: Point;p>0;Expression(C) = (x^2 = 2*(p*y));Expression(G) = (y = p/2 + x);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 7097,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7097.png",
+      "answer": "x^2=pm*16*y",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;SymmetryAxis(G) = yAxis;L: LineSegment;PointOnCurve(Focus(G), L) = True;IsPerpendicular(L, yAxis) = True;IsChordOf(L, G) = True;Length(L) = 16",
+      "coords": {}
+    },
+    {
+      "index": 7098,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7098.png",
+      "answer": "(1, 1+sqrt(3)]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));O: Origin;DotProduct((VectorOf(O, F2) + VectorOf(O, P)), VectorOf(F2, P)) = 0;Abs(LineSegmentOf(P, F1)) >= sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7099,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7099.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Line;F: Point;c:Number;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (-a*y + b*x = 0);Coordinate(F) = (c, 0);RightFocus(E) = F;Distance(F, G) = (sqrt(3)/3)*c",
+      "coords": {}
+    },
+    {
+      "index": 7100,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7100.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/8 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7101,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 4.898979485566356,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7101.png",
+      "answer": "48*pi/7",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Hyperbola;Expression(C) = (x^2 - y^2/24 = 1);P: Point;PointOnCurve(P, C) = True;Quadrant(P) = 1;Abs(LineSegmentOf(P, F1))/Abs(LineSegmentOf(P, F2)) = 5/4",
+      "coords": {}
+    },
+    {
+      "index": 7102,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7102.png",
+      "answer": "18",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;F: Point;Q: Point;Expression(G) = (x^2/25 + y^2/16 = 1);PointOnCurve(Center(G), H);Intersection(H, G) = {P, Q};LeftFocus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 7103,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7103.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 8*x);Focus(G) = F;PointOnCurve(P, G);Abs(LineSegmentOf(P, F)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7104,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7104.png",
+      "answer": "[sqrt(5)/5, 1/2]",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;c: Number;F1: Point;F2: Point;Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);DotProduct(VectorOf(P, F1), VectorOf(P, F2)) = 3*c^2;e: Number;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 7105,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7105.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;Eccentricity(G) = sqrt(2)/2;l: Line;A: Point;B: Point;Intersection(l, G) = {A, B};M: Point;Coordinate(M) = (1, 1);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7106,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7106.png",
+      "answer": "y=(pm*sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 3*y^2 = 3)",
+      "coords": {}
+    },
+    {
+      "index": 7107,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7107.png",
+      "answer": "2*a+2*b",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;PointOnCurve(Center(G), H) = True;H: Line;Intersection(H, G) = {P, Q};P: Point;Q: Point;F: Point;OneOf(Focus(G)) = F",
+      "coords": {}
+    },
+    {
+      "index": 7108,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7108.png",
+      "answer": "x^2/12 - y^2/8 = 1",
+      "fact_expr": "G: Hyperbola;Z: Hyperbola;H: Point;Expression(G) = (x^2/16 - y^2/4 = 1);Coordinate(H) = (3*sqrt(2), 2);PointOnCurve(H, Z);Focus(G) = Focus(Z)",
+      "coords": {
+        "H": [
+          4.242640687119286,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7109,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7109.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Intersection(l, Directrix(G)) = C;VectorOf(C, B) = 3*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 7110,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7110.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F2),VectorOf(P, F1));Area(TriangleOf(P, F1, F2)) = 16",
+      "coords": {}
+    },
+    {
+      "index": 7111,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7111.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "F: Point;Focus(G) = F;G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;A: Point;B: Point;C: Point;D: Point;IsChordOf(LineSegmentOf(A, B), G);IsChordOf(LineSegmentOf(C, D), G);PointOnCurve(F, LineSegmentOf(A, B));PointOnCurve(F, LineSegmentOf(C, D));IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(C, D));Min(Abs(LineSegmentOf(A, B)) + Abs(LineSegmentOf(C, D))) = 16",
+      "coords": {}
+    },
+    {
+      "index": 7112,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7112.png",
+      "answer": "y=x",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;O: Origin;Coordinate(F) = (1, 0);Focus(C)=F;Vertex(C) = O;Intersection(l,C)={A,B};Coordinate(MidPoint(LineSegmentOf(A,B)))=(2,2)",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7113,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7195594310760498,
+        "b": 1.7224669456481934,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.391175712546101e-06,
+        "converged": true,
+        "iterations": 83
+      },
+      "output_path": "results/train/hyperbola/problem_7113.png",
+      "answer": "y=pm*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 7114,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7115,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7115.png",
+      "answer": "8",
+      "fact_expr": "C: Parabola;p: Number;G: Line;B: Point;A: Point;M: Point;N: Point;p>0;Expression(C) = (y^2 = 2*p*x);Expression(G) = (x = 1);Intersection(G, C) = M;Intersection(G,xAxis)=N;PointOnCurve(A, C);PointOnCurve(B, C);Slope(LineOf(A,B)) = 2;Distance(N,LineOf(M,A))=Distance(N,LineOf(M,B))",
+      "coords": {}
+    },
+    {
+      "index": 7116,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7117,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7118,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7118.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;O:Origin;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(Endpoint(MinorAxis(G)),H);Distance(OneOf(Focus(G)),H)=b/2",
+      "coords": {}
+    },
+    {
+      "index": 7119,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7119.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;F1: Point;P: Point;F2: Point;Expression(C) = (x^2 - y^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7120,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7120.png",
+      "answer": "(1, 2+sqrt(5))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;c: Number;HalfFocalLength(G) = c;-4*a*c + b^2 < 0",
+      "coords": {}
+    },
+    {
+      "index": 7121,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7121.png",
+      "answer": "1/4",
+      "fact_expr": "l: Line;G: Curve;A: Point;Expression(G) = (y = x^2);Coordinate(A) = (t, 0);Inclination(l) = ApplyUnit(45, degree);PointOnCurve(A,l);IsTangent(l, G);t:Number",
+      "coords": {}
+    },
+    {
+      "index": 7122,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7122.png",
+      "answer": "2*sqrt(7)-2",
+      "fact_expr": "G: Hyperbola;P: Point;F: Point;A: Point;Expression(G) = (x^2 - y^2/3 = 1);Coordinate(A) = (3, sqrt(3));PointOnCurve(P, RightPart(G));RightFocus(G) = F",
+      "coords": {
+        "A": [
+          3.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 7123,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7123.png",
+      "answer": "(0,1/8)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = 2*x^2)",
+      "coords": {}
+    },
+    {
+      "index": 7124,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7124.png",
+      "answer": "5",
+      "fact_expr": "Slope(G) = 2;G: Line;C: Parabola;Expression(C) = (y^2 = 4*x);PointOnCurve(Focus(C), G) =  True;Intersection(G, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 7125,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7125.png",
+      "answer": "81",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/9 + x^2/m = 1);m: Number;m>0;Expression(OneOf(Asymptote(C))) = (y = x/3)",
+      "coords": {}
+    },
+    {
+      "index": 7126,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7127,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7127.png",
+      "answer": "1/3",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;A: Point;B: Point;b:Number;Expression(C) = (x^2/6 + y^2/3 = 1);PointOnCurve(P,C);Coordinate(P) = (2, 1);Expression(l)=(y=-x+b);Intersection(l, C) = {A,B};IsPerpendicular(LineSegmentOf(P, A), LineSegmentOf(P, B));Negation(A=B)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7128,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7128.png",
+      "answer": "4*sqrt(6)/3",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/4 - y^2/2 = 1);PointOnCurve(P, G);Distance(P, RightFocus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7129,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 10.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7129.png",
+      "answer": "48",
+      "fact_expr": "l: Line;G: Ellipse;H:Circle;P: Point;A: Point;B: Point;Expression(G) = (x^2/10 + y^2 = 1);Expression(H) = (x^2 + (y - 6)^2 = 2);PointOnCurve(P, G);PointOnCurve(Center(H),l);Intersection(l, H) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7130,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7130.png",
+      "answer": "x^2/25+y^2/16=1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;B: Point;A: Point;F: Point;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G) = A;RightFocus(G) = F;UpperVertex(G) = B;LowerVertex(G) = C;T:Point;Coordinate(T)=(3*a,16);Intersection(LineOf(A,B),LineOf(C,F))=T",
+      "coords": {}
+    },
+    {
+      "index": 7131,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7132,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7132.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "Gamma: Ellipse;M: Point;A: Point;B: Point;C: Point;D: Point;a:Number;b:Number;a>b;b>0;Expression(Gamma) = (x^2/a^2+y^2/b^2=1);Endpoint(MajorAxis(Gamma))={A,B};Endpoint(MinorAxis(Gamma))={C,D};Abs(LineSegmentOf(M, A))/Abs(LineSegmentOf(M, B)) = 2;Max(Area(TriangleOf(M, A, B))) = 8;Min(Area(TriangleOf(M, C, D))) = 1",
+      "coords": {}
+    },
+    {
+      "index": 7133,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7133.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/b^2 + y^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};Distance(P, F1) + Distance(P, F2) = 6",
+      "coords": {}
+    },
+    {
+      "index": 7134,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7134.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;I: Line;A: Point;F: Point;B: Point;k:Number;e:Number;Expression(G) = (x^2/4 - y^2/12 = 1);Expression(H) = (y^2 = 2*(p*x));Expression(I) = (y = k*(-p/2 + x));Eccentricity(G) = e;Focus(H)=F;Intersection(H, I) = {A, B};Abs(LineSegmentOf(A, F))/Abs(LineSegmentOf(F, B)) = e",
+      "coords": {}
+    },
+    {
+      "index": 7135,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7136,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7136.png",
+      "answer": "4*x^2/9 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);G1: Hyperbola;Asymptote(G) = Asymptote(G1);H: Point;Coordinate(H) = (-3, 2*sqrt(3));PointOnCurve(H, G1) = True",
+      "coords": {
+        "H": [
+          -3.0,
+          3.4641016151377544
+        ]
+      }
+    },
+    {
+      "index": 7137,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7137.png",
+      "answer": "(1, 2)",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;Coordinate(A) = (2, 2);F: Point;Focus(G) = F;WhenMin(Abs(LineSegmentOf(P, A)) + Abs(LineSegmentOf(P, F)))",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7138,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7139,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7140,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7140.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Hyperbola;a: Number;F: Point;a>0;Expression(C) = (-y^2/3 + x^2/a^2 = 1);RightFocus(C) = F",
+      "coords": {}
+    },
+    {
+      "index": 7141,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7141.png",
+      "answer": "{sqrt(21)/3, sqrt(13)}",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;L1: Line;L2: Line;Asymptote(G) = {L1, L2};H: Parabola;Expression(H) = (y^2 = 4*x);O: Origin;A: Point;Intersection(L1, H) = A;B: Point;Intersection(L2, H) = B;Negation(O=A);Negation(O=B);F: Point;Focus(H) = F;AngleOf(A, F, B) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 7142,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_7142.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2/a1^2 - y^2/b1^2 = 1);a1: Number;b1: Number;a1>0;b1>0;C2: Hyperbola;Expression(C2) = (y^2/a2^2 - x^2/b2^2 = 1);a2: Number;b2: Number;a2>0;b2>0;Asymptote(C1) = Asymptote(C2);Eccentricity(C1) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7143,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7144,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7144.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;H: Parabola;p: Number;Expression(G) = (x^2/6 - y^2/3 = 1);Expression(H) = (y^2 = 2*(p*x));Focus(H) = RightFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 7145,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7145.png",
+      "answer": "3/2",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) - Abs(LineSegmentOf(P, F2)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 7146,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7146.png",
+      "answer": "pm*4/3",
+      "fact_expr": "l: Line;G: Parabola;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};VectorOf(A, F) = 4*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 7147,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "y",
+        "x_coef": 3.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7147.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;G: Line;F2: Point;M: Point;N: Point;F1: Point;Expression(C) = (x^2/3 + y^2/4 = 1);Focus(C) = {F1, F2};PointOnCurve(F1, G);Intersection(G, C) = {M,N}",
+      "coords": {}
+    },
+    {
+      "index": 7148,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7148.png",
+      "answer": "y=pm*(sqrt(3)/3)*x",
+      "fact_expr": "G: Hyperbola;a: Number;H: Parabola;a>0;Expression(G) = (-y^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 8*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7149,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7149.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(E) = F1;RightFocus(E) = F2;E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;l: Line;PointOnCurve(F1, l);NumIntersection(l, E) = 1;O1: Circle;Expression(O1) = (x^2 + y^2 = 2*a^2);IsTangent(l,O1) = True",
+      "coords": {}
+    },
+    {
+      "index": 7150,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7150.png",
+      "answer": "a",
+      "fact_expr": "P: Point;PointOnCurve(P, RightPart(G));G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;FocalLength(G) = 2*c;c: Number",
+      "coords": {}
+    },
+    {
+      "index": 7151,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7152,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7152.png",
+      "answer": "-1/2",
+      "fact_expr": "G: Hyperbola;H: Point;a: Number;b: Number;Expression(G) = (x^2 - y^2 = 1);Coordinate(H) = (a, b);PointOnCurve(H, LeftPart(G));Expression(L) = (y = x);Distance(H, L) = sqrt(2);OneOf(Asymptote(G)) = L;L:Line",
+      "coords": {}
+    },
+    {
+      "index": 7153,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7153.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Parabola;Expression(H) = (y^2 = 4*x);OneOf(Focus(G)) = Focus(H);Distance(Focus(G), Asymptote(G)) = sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 7154,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7155,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7155.png",
+      "answer": "21/10",
+      "fact_expr": "l: Line;G: Parabola;p: Number;H:Line;A: Point;B: Point;F: Point;p>0;alpha:Number;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (x = -1/2);Coordinate(F) = (-Sin(alpha)*Cos(alpha), 0);Tan(alpha) = -2;Focus(G) = F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7156,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7156.png",
+      "answer": "[4, +oo)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/2 - y^2/lambda = 1);lambda: Number;Negation(Eccentricity(C) > sqrt(2*lambda - 5))",
+      "coords": {}
+    },
+    {
+      "index": 7157,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7157.png",
+      "answer": "7/9",
+      "fact_expr": "K: Point;Coordinate(K) = (-1, 0);PointOnCurve(K, l) = True;l: Line;C: Parabola;Expression(C) = (y^2 = 4*x);Intersection(l, C) = {A, B};A: Point;B: Point;F: Point;Focus(C) = F;Abs(LineSegmentOf(B, F)) = 2*Abs(LineSegmentOf(A, F))",
+      "coords": {
+        "K": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7158,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7159,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7159.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;P: Point;e: Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(P, F1, F2) = ApplyUnit(30, degree);AngleOf(P, F2, F1) = ApplyUnit(60, degree);Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 7160,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7160.png",
+      "answer": "7",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (6, 3);PointOnCurve(P, G);Focus(G) = F",
+      "coords": {
+        "A": [
+          6.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7161,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7161.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;Focus(C) = {F1, F2};P: Point;PointOnCurve(P, C);IsPerpendicular(VectorOf(P, F2), VectorOf(P, F1));Area(TriangleOf(P, F1, F2)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 7162,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7162.png",
+      "answer": "2*sqrt(6)/3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F2: Point;F1: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Line;PointOnCurve(F1, G);A: Point;B: Point;Intersection(G,LeftPart(C))=A;Intersection(G,RightPart(C))=B;Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(A, F2));Cos(AngleOf(B, A, F2)) = 7/8",
+      "coords": {}
+    },
+    {
+      "index": 7163,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.917515754699707,
+        "b": 6.981808353473198,
+        "major_axis": "y",
+        "x_coef": 47.99999999999999,
+        "y_coef": 64.0
+      },
+      "optimization": {
+        "final_loss": 9.99869816637308e-15,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/ellipse/problem_7163.png",
+      "answer": "y^2/64 + x^2/48 = 1",
+      "fact_expr": "G: Ellipse;O: Origin;Center(G)=O;PointOnCurve(Focus(G), yAxis);Eccentricity(G)=1/2;FocalLength(G) = 8",
+      "coords": {}
+    },
+    {
+      "index": 7164,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7164.png",
+      "answer": "3",
+      "fact_expr": "C: Parabola;A: Point;F: Point;B: Point;l: Line;Expression(C) = (x^2 = 4*y);Focus(C) = F;PointOnCurve(A, C);Intersection(OverlappingLine(LineSegmentOf(F, A)), xAxis) = B;Expression(l) = (y = -1);d: Number;Distance(A, l) = d;Distance(A, B) = d",
+      "coords": {}
+    },
+    {
+      "index": 7165,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7165.png",
+      "answer": "{1, 13}",
+      "fact_expr": "C: Hyperbola;a: Number;P: Point;F1: Point;F2: Point;Expression(C) = (-y^2/4 + x^2/a^2 = 1);Expression(OneOf(Asymptote(C))) = (2*x + 3*y = 0);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 7166,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 25.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7166.png",
+      "answer": "16",
+      "fact_expr": "G: Ellipse;P: Point;A: Point;B: Point;C:Curve;D:Curve;Expression(G) = (x^2/9 + y^2/25 = 1);PointOnCurve(P, G);PointOnCurve(A, C);PointOnCurve(B, D);Expression(C)=(x^2+(y-4)^2=16);Expression(D)=(x^2+(y+4)^2=4)",
+      "coords": {}
+    },
+    {
+      "index": 7167,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7167.png",
+      "answer": "sqrt(13)",
+      "fact_expr": "F: Point;OneOf(Focus(C)) = F;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P,C) = True;Coordinate(MidPoint(LineSegmentOf(P,F))) = (0,-sqrt(3)*b)",
+      "coords": {}
+    },
+    {
+      "index": 7168,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7168.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y)",
+      "coords": {}
+    },
+    {
+      "index": 7169,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7169.png",
+      "answer": "-9",
+      "fact_expr": "G: Parabola;A: Point;P: Point;B: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (-3, 0);Coordinate(B) = (3,0);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          -3.0,
+          0.0
+        ],
+        "B": [
+          3.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7170,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7171,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7171.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "H: Line;Expression(H) = (y = 1 - x);G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;B: Point;Intersection(H, G) = {A, B};M: Point;MidPoint(LineSegmentOf(A, B)) = M;Z: Line;Expression(Z) = (x - 2*y = 0);PointOnCurve(M, Z)",
+      "coords": {}
+    },
+    {
+      "index": 7172,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7172.png",
+      "answer": "18",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 7173,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7174,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7174.png",
+      "answer": "b^2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;M: Point;c:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Negation(P=Vertex(G));LeftFocus(G) = F1;RightFocus(G) = F2;HalfFocalLength(G)=c;TangentPoint(InscribedCircle(TriangleOf(P,F1,F2)),LineSegmentOf(F1,F2))=M",
+      "coords": {}
+    },
+    {
+      "index": 7175,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7175.png",
+      "answer": "[7, 13]",
+      "fact_expr": "G: Ellipse;H: Circle;D: Circle;P: Point;M: Point;N: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Expression(H) = (y^2 + (x + 3)^2 = 4);Expression(D) = (y^2 + (x - 3)^2 = 1);PointOnCurve(P, G);PointOnCurve(M, H);PointOnCurve(N, D)",
+      "coords": {}
+    },
+    {
+      "index": 7176,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7176.png",
+      "answer": "(0,-1/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = -x^2/2)",
+      "coords": {}
+    },
+    {
+      "index": 7177,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_7177.png",
+      "answer": "x^2/1 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;Expression(Asymptote(G)) = (y = pm*2*x);H: Parabola;Expression(H) = (y^2 = 4*(sqrt(5)*x));OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7178,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_7178.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;k:Number;a>0;b>0;k>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(OneOf(Asymptote(G)))=(y=k*x);Eccentricity(G)=2",
+      "coords": {}
+    },
+    {
+      "index": 7179,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7180,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_7180.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);F: Point;Focus(H) = F;G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightVertex(G) = F;Expression(Asymptote(G)) = (y = pm*sqrt(3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 7181,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7181.png",
+      "answer": "5/3",
+      "fact_expr": "G: Hyperbola;n: Number;m: Number;H: Ellipse;Q: Point;F1: Point;F2: Point;m>0;n>0;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1);Expression(H) = (x^2/25 + y^2/16 = 1);Focus(G)={F1,F2};Focus(H)={F1,F2};OneOf(Intersection(G,H))=Q;AngleOf(Q, F1, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7182,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7182.png",
+      "answer": "10",
+      "fact_expr": "H: Line;Expression(H) = (y = k*(x - 2));k: Number;G: Parabola;Expression(G) = (y^2 = 8*x);Intersection(H, G) = {A, B};B: Point;A: Point;XCoordinate(MidPoint(LineSegmentOf(A, B))) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7183,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7183.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);P: Point;PointOnCurve(P, G);A: Point;Coordinate(A) = (-2, 4);F: Point;Focus(G) = F",
+      "coords": {
+        "A": [
+          -2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7184,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7184.png",
+      "answer": "sqrt(6)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/2 + x^2/a^2 = 1);a: Number;a>0;H: Point;Coordinate(H) = (2, 0);OneOf(Focus(G)) = H",
+      "coords": {
+        "H": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7185,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7186,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7187,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7187.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;F2: Point;F1: Point;l: Line;PointOnCurve(F1,l) = True;Intersection(G,l) = {A,B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 7188,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7188.png",
+      "answer": "7",
+      "fact_expr": "A: Point;C: Parabola;Expression(C) = (y^2 = 12*x);PointOnCurve(A, C);Distance(A, Focus(C)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 7189,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.6968069696030055,
+        "b": 1.9073494445037336,
+        "major_axis": "x",
+        "x_coef": 8.000000000000004,
+        "y_coef": 3.999999999999999
+      },
+      "optimization": {
+        "final_loss": 1.553898377657047e-05,
+        "converged": true,
+        "iterations": 84
+      },
+      "output_path": "results/train/ellipse/problem_7189.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "C: Ellipse;G: Point;Coordinate(G) = (2, sqrt(2));PointOnCurve(G, C);H: Point;Coordinate(H) = (sqrt(2), sqrt(3));PointOnCurve(H, C)",
+      "coords": {
+        "G": [
+          2.0,
+          1.4142135623730951
+        ],
+        "H": [
+          1.4142135623730951,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 7190,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7191,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7192,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7192.png",
+      "answer": "(0,pm*sqrt(5))",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/2 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7193,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          2.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_7193.png",
+      "answer": "27*sqrt(7)/56",
+      "fact_expr": "Gamma:Parabola;C: Circle;O:Origin;Vertex(Gamma)=O;SymmetryAxis(Gamma)=xAxis;P:Point;Q:Point;Expression(C) = (-4*y + x^2 + y^2 = 0);Intersection(Gamma,C)={P,Q};Distance(P,Q)=3",
+      "coords": {}
+    },
+    {
+      "index": 7194,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7194.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;p>0;Expression(G) = (y^2 = 2*(p*x));Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(Directrix(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 7195,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7195.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;C: Point;D: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};L1:Line;L2:Line;PointOnCurve(A,L1);PointOnCurve(B,L2);IsPerpendicular(L1,Directrix(G));IsPerpendicular(L2,Directrix(G));Abs(LineSegmentOf(A, F)) = 4*Abs(LineSegmentOf(B, F));FootPoint(L1,Directrix(G))=C;FootPoint(L2,Directrix(G))=D",
+      "coords": {}
+    },
+    {
+      "index": 7196,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7196.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;H: Line;A1: Point;A2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (2*a*b - a*y + b*x = 0);LeftVertex(C) = A1;RightVertex(C) = A2;IsDiameter(LineSegmentOf(A1,A2),G);IsTangent(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 7197,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7197.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;L1:Line;L2:Line;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Asymptote(G))=L1;OneOf(Asymptote(G))=L2;Negation(L1=L2);PointOnCurve(Center(H),L1);IsTangent(H,xAxis);IsTangent(H,L2)",
+      "coords": {}
+    },
+    {
+      "index": 7198,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7198.png",
+      "answer": "x + pm*sqrt(3)*y = 0",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;F:Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l)=(x+3*y-2*b=0);RightFocus(C)=F;PointOnCurve(F,l)",
+      "coords": {}
+    },
+    {
+      "index": 7199,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7199.png",
+      "answer": "16",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G),H) = True;Inclination(H) = pi/6;H: Line;A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7200,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7201,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7201.png",
+      "answer": "[80, 120]",
+      "fact_expr": "G: Ellipse;H: Circle;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = ((x - 6)^2 + (y - 8)^2 = 1);PointOnCurve(P, H);Focus(G) = {F1, F2}",
+      "coords": {}
+    },
+    {
+      "index": 7202,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5002657771110535,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 8.410525879298802e-06,
+        "converged": true,
+        "iterations": 102
+      },
+      "output_path": "results/train/parabola/problem_7202.png",
+      "answer": "3*x + 6*y + 4 = 0",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;H: Circle;Expression(H) = (y^2 + (x - 2)^2 = 1);A: Point;Coordinate(A) = (2, 2);B: Point;C: Point;PointOnCurve(A,G);PointOnCurve(B,G);PointOnCurve(C,G)\t;IsTangent(LineOf(A,B),H);IsTangent(LineOf(A,C),H)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7203,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7203.png",
+      "answer": "12",
+      "fact_expr": "G: Hyperbola;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/16 - y^2/8 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;RightFocus(G) = F2;Abs(LineSegmentOf(M, F1)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7204,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7204.png",
+      "answer": "-6",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (x^2/m + y^2/2 = 1);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7205,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7205.png",
+      "answer": "Ellipse",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;M: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(M, G);LeftFocus(G) = F1;MidPoint(LineSegmentOf(M,F1))=P;a>b;b>0;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 7206,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7207,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7207.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G);PointOnCurve(B, G);AngleOf(A, F, B) = pi/2;IsChordOf(LineSegmentOf(A, B), G);M: Point;MidPoint(LineSegmentOf(A, B)) = M;N: Point;Projection(M, Directrix(G)) = N",
+      "coords": {}
+    },
+    {
+      "index": 7208,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 2.1144830911547814,
+        "b": 1.8307220340480923,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 2.1389768270834375e-06,
+        "converged": true,
+        "iterations": 96
+      },
+      "output_path": "results/train/hyperbola/problem_7208.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;G: Point;A: Point;P: Point;F: Point;PointOnCurve(G,C);Coordinate(G) = (2*sqrt(2), sqrt(3));Coordinate(A) = (0, 3);PointOnCurve(P,RightPart(C));LeftFocus(C) = F;Expression(Asymptote(C))=(y=pm*(sqrt(3)/2)*x)",
+      "coords": {
+        "G": [
+          2.8284271247461903,
+          1.7320508075688772
+        ],
+        "A": [
+          0.0,
+          3.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 7209,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7209.png",
+      "answer": "2*sqrt(15)",
+      "fact_expr": "G: Parabola;H: Line;k: Number;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Expression(H) = (y = k*x - 2);Intersection(H, G) = {A, B};XCoordinate(MidPoint(LineSegmentOf(A, B))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7210,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 0.7071067811865476,
+        "major_axis": "y",
+        "x_coef": 0.5,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7210.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;k: Real;A:Point;B:Point;Expression(G) = (4*x^2 + y^2 = 2);PointOnCurve(A,G);PointOnCurve(B,G);Max(Distance(A,B))=8",
+      "coords": {}
+    },
+    {
+      "index": 7211,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7212,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7213,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7214,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7214.png",
+      "answer": "(0,1/8)",
+      "fact_expr": "P: Point;G: Hyperbola;Expression(G) = (x^2/4 - y^2 = 1);PointOnCurve(P, RightPart(G));Quadrant(P) = 1;A1: Point;A2: Point;LeftVertex(G) = A1;RightVertex(G) = A2;O: Origin;k1: Number;k2: Number;k3: Number;Slope(LineOf(P, A1)) = k1;Slope(LineOf(P, O)) = k2;Slope(LineOf(P, A2)) = k3",
+      "coords": {}
+    },
+    {
+      "index": 7215,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7215.png",
+      "answer": "(0,-1)",
+      "fact_expr": "C: Ellipse;P: Point;Q: Point;F: Point;Expression(C) = (x^2/2 + y^2 = 1);Coordinate(Q) = (4, 3);LeftFocus(C) = F;PointOnCurve(P, C);WhenMax(Abs(LineSegmentOf(P, F)) + Abs(LineSegmentOf(P, Q)))",
+      "coords": {
+        "Q": [
+          4.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7216,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_7216.png",
+      "answer": "4",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = 2;Distance(Focus(C),Asymptote(C))=sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 7217,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7218,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7218.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;I: Curve;P: Point;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Expression(I) = And((y^2=-4*x), (y>=0));Focus(G) = F;PointOnCurve(F, H);Slope(H) = 1;Intersection(H, G) = {A, B};PointOnCurve(P, I)",
+      "coords": {}
+    },
+    {
+      "index": 7219,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7219.png",
+      "answer": "[2*pi, pi*10/3)",
+      "fact_expr": "G: Hyperbola;I: Line;A: Point;F1: Point;B: Point;F2: Point;Expression(G) = (x^2 - y^2/3 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2, I);Intersection(I, RightPart(G)) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7220,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7220.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Distance(P, RightFocus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7221,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7221.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;Distance(RightVertex(G), OneOf(Asymptote(G))) = b/2",
+      "coords": {}
+    },
+    {
+      "index": 7222,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7223,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7223.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;Endpoint(MinorAxis(C)) = M;M: Point;PointOnCurve(N,C) = True;N: Point;VectorOf(M, F2) = 3*VectorOf(F2, N);Area(TriangleOf(M, N, F1)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7224,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7224.png",
+      "answer": "x+2*y-8=0",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2 + 4*y^2 = 36);InterceptChord(l,G)=LineSegmentOf(A,B);MidPoint(LineSegmentOf(A,B))=M;Coordinate(M) = (4, 2)",
+      "coords": {
+        "M": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7225,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7226,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7226.png",
+      "answer": "3*sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2)=ApplyUnit(60,degree)",
+      "coords": {}
+    },
+    {
+      "index": 7227,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7228,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.560132719491411,
+        "b": 1.280571558186289,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 5.001754676787936e-06,
+        "converged": true,
+        "iterations": 73
+      },
+      "output_path": "results/train/hyperbola/problem_7228.png",
+      "answer": "x^2/10 - y^2/(5/2) = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (3*x^2 + 13*y^2 = 39);Focus(H)=Vertex(G);Expression(Asymptote(G)) = (y=pm*(1/2)*x)",
+      "coords": {}
+    },
+    {
+      "index": 7229,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7229.png",
+      "answer": "y^2 = 4*x",
+      "fact_expr": "C: Parabola;p: Number;Z: Circle;H: Line;M: Point;E: Point;G: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Expression(H) = (x = p/2);Coordinate(M) = (x0, 2*sqrt(2));x0:Number;x0>p/2;Focus(C) = F;PointOnCurve(M, C);Center(Z)=M;Radius(Z)=sqrt(3);Intersection(Z,H)={E,G};Abs(LineSegmentOf(E, G)) = 2*sqrt(2)",
+      "coords": {}
+    },
+    {
+      "index": 7230,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7230.png",
+      "answer": "(-3,0);(3,0)",
+      "fact_expr": "G: Ellipse;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);LeftFocus(G) = F1;RightFocus(G) = F2",
+      "coords": {}
+    },
+    {
+      "index": 7231,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7231.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;M: Point;F1: Point;F2: Point;Expression(G) = (x^2 - y^2/2 = 1);Focus(G) = {F1, F2};PointOnCurve(M, G);DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 7232,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7232.png",
+      "answer": "4/3",
+      "fact_expr": "l: Line;E: Ellipse;b: Number;A: Point;B: Point;F2: Point;F1: Point;0 < b;b < 1;Expression(E) = (x^2 + y^2/b^2 = 1);LeftFocus(E) = F1;RightFocus(E) = F2;PointOnCurve(F1, l);Intersection(l, E) = {A, B};2*Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(A, F2)) + Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7233,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7233.png",
+      "answer": "44",
+      "fact_expr": "P: Point;Q: Point;C: Hyperbola;A: Point;F: Point;Expression(C) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (5, 0);LeftFocus(C) = F;PointOnCurve(P, C);PointOnCurve(Q, C);2*Length(ImageinaryAxis(C)) = Length(LineSegmentOf(P, Q));PointOnCurve(A, LineSegmentOf(P, Q))",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7234,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7234.png",
+      "answer": "y=pm*(sqrt(5)/2)*x",
+      "fact_expr": "C: Hyperbola;a: Number;a>0;Expression(C) = (-y^2/5 + x^2/a^2 = 1);Coordinate(OneOf(Focus(C))) = (3, 0)",
+      "coords": {}
+    },
+    {
+      "index": 7235,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7235.png",
+      "answer": "2*x+4*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;P: Point;Coordinate(P) = (1/2, 1/2);Expression(G) = (x^2/2 + y^2 = 1);IsChordOf(H,G);MidPoint(H)=P;PointOnCurve(P,H)",
+      "coords": {
+        "P": [
+          0.5,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 7236,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7236.png",
+      "answer": "8",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/25 + y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7237,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7237.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;H: Ellipse;a: Number;P: Point;F1: Point;F2: Point;F3: Point;a>0;Expression(H) = (y^2/3 + x^2/a^2 = 1);Focus(H)={F1,F2};PointOnCurve(P,H);PointOnCurve(P,G);Focus(G) = F3;Abs(LineSegmentOf(P, F3)) = 25/16;Expression(G)=(y^2=(9/4)*x)",
+      "coords": {}
+    },
+    {
+      "index": 7238,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7239,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7239.png",
+      "answer": "4*sqrt(5)/5",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1);E: Circle;Expression(E) = (-2*x + x^2 + y^2 = 0);A: Point;B: Point;Intersection(OneOf(Asymptote(C)), E) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7240,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7240.png",
+      "answer": "6",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Expression(C) = (x^2 - y^2 = 1);Coordinate(A) = (0, sqrt(2));RightFocus(C) = F;PointOnCurve(P, LeftPart(C))",
+      "coords": {
+        "A": [
+          0.0,
+          1.4142135623730951
+        ]
+      }
+    },
+    {
+      "index": 7241,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7242,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7242.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;m: Number;n: Number;H: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;m>0;n>0;Expression(G) = (-y^2/n^2 + x^2/m^2 = 1);a > b;b > 0;Expression(H) = (y^2/b^2 + x^2/a^2 = 1);Focus(H) = {F1, F2};Focus(G) = {F1, F2};OneOf(Intersection(H,G))=P;Abs(LineSegmentOf(P, F1))*Abs(LineSegmentOf(P, F2)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7243,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7243.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;A: Point;F: Point;B: Point;a > b;b > 0;Expression(C) = (x^2/b^2 + y^2/a^2 = 1);Focus(C) = F;PointOnCurve(F, l);Slope(l) = 1/2;Intersection(l, C) = {A, B};VectorOf(A, F) = (2/3)*VectorOf(A, B)",
+      "coords": {}
+    },
+    {
+      "index": 7244,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7244.png",
+      "answer": "x+y+3=0",
+      "fact_expr": "G: Parabola;H: Line;C:Line;Expression(G) = (x^2 = 12*y);Expression(H) = (x - y = 0);IsTangent(C,G);IsPerpendicular(C,H)",
+      "coords": {}
+    },
+    {
+      "index": 7245,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7245.png",
+      "answer": "sqrt(3)/2\nx^2/9-y^2/3=1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2 + 4*y^2 = 16);G: Hyperbola;Focus(G) = Focus(H);Expression(OneOf(Asymptote(G))) = (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 7246,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6495774984359741,
+        "b": 1.117531657218933,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 9.364227298647165e-05,
+        "converged": true,
+        "iterations": 59
+      },
+      "output_path": "results/train/hyperbola/problem_7246.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;P: Point;F2: Point;F1: Point;M: Point;Q: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-2, 0);Coordinate(F2) = (2, 0);LeftFocus(C) = F1;RightFocus(C)=F2;PointOnCurve(M, RightPart(C));Intersection(LineSegmentOf(M, F1), yAxis) = P;TangentPoint(InscribedCircle(TriangleOf(M,P,F2)),LineSegmentOf(P,F2))=Q;Abs(LineSegmentOf(P, Q)) = sqrt(2)",
+      "coords": {
+        "F1": [
+          -2.0,
+          0.0
+        ],
+        "F2": [
+          2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7247,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7248,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7249,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7249.png",
+      "answer": "x \\pm y + 1 = 0",
+      "fact_expr": "C: Parabola;P: Point;L: Line;Expression(C) = (y^2 = 4*x);Intersection(Directrix(C),SymmetryAxis(C))=P;TangentOfPoint(P, C) = L",
+      "coords": {}
+    },
+    {
+      "index": 7250,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7251,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7251.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;a: Real;l:Line;Expression(G) = (y^2 = 4*x);Expression(l) = (a*x - y + 1 = 0);PointOnCurve(Focus(G), l)",
+      "coords": {}
+    },
+    {
+      "index": 7252,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7252.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "H: Ellipse;Expression(H) = (y^2/2 + x^2/a^2 = 1);a: Number;G: Parabola;Expression(G) = (y^2 = 8*x);OneOf(Focus(H)) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 7253,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7253.png",
+      "answer": "y=pm*(sqrt(2)/2)*x",
+      "fact_expr": "G: Hyperbola;H: Ellipse;a1: Number;b1: Number;b1 > 0;a1 > b1;a2: Number;b2: Number;a2 > 0;b2 > 0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2/b^2 + x^2/a^2 = 3);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7254,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7254.png",
+      "answer": "sqrt(34)",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;Coordinate(A) = (5, 4);Expression(G) = (x^2 = 4*y);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          5.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7255,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7255.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;M: Point;P: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Coordinate(M) = (4, 4);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C)",
+      "coords": {
+        "M": [
+          4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7256,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7256.png",
+      "answer": "{y^2 = 4*x, y^2 = 16*x}",
+      "fact_expr": "G: Parabola;p: Number;H: Line;Q: Point;F: Point;M: Point;P: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;PointOnCurve(P, G);PointOnCurve(P, H);IsPerpendicular(Directrix(G), H);FootPoint(Directrix(G), H) = Q;Coordinate(M) = (0, 2);Intersection(LineOf(F, Q), yAxis) = M;Area(TriangleOf(P, Q, F)) = 10",
+      "coords": {
+        "M": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7257,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7257.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;F1: Point;F2: Point;P: Point;e: Number;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-1, 0);Coordinate(F2) = (1, 0);Focus(G) = {F1, F2};PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) + Abs(LineSegmentOf(P, F2)) = 4;Eccentricity(G) = e",
+      "coords": {
+        "F1": [
+          -1.0,
+          0.0
+        ],
+        "F2": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7258,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7259,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7259.png",
+      "answer": "(2*sqrt(5))/5",
+      "fact_expr": "H: Line;Expression(H) = (a*x + y - 4 = 0);a: Number;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;Coordinate(OneOf(Intersection(H, G))) = (1, 2)",
+      "coords": {}
+    },
+    {
+      "index": 7260,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7260.png",
+      "answer": "7/4",
+      "fact_expr": "G: Parabola;M: Point;N: Point;P1: Point;P2: Point;P: Point;Expression(G) = (y^2 = x);Length(LineSegmentOf(M, N)) = 4;Endpoint(LineSegmentOf(M, N)) = {P1, P2};PointOnCurve(P1, G);PointOnCurve(P2, G);MidPoint(LineSegmentOf(M, N)) = P",
+      "coords": {}
+    },
+    {
+      "index": 7261,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7261.png",
+      "answer": "[1/2, 2]",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;F: Point;B: Point;Expression(C) = (x^2/9 + y^2/8 = 1);RightFocus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7262,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7263,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7264,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7265,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7266,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7266.png",
+      "answer": "pm*2*sqrt(2)",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;PointOnCurve(Focus(G), xAxis);P: Point;a: Number;Coordinate(P) = (-2, a);PointOnCurve(P, G);Distance(P, Focus(G)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7267,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7268,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7268.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/5 = 1);F: Point;OneOf(Focus(G)) = F",
+      "coords": {}
+    },
+    {
+      "index": 7269,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7269.png",
+      "answer": "1/4",
+      "fact_expr": "C: Hyperbola;P: Point;F1: Point;F2: Point;Expression(C) = (x^2 - y^2/3 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P, C);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7270,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7270.png",
+      "answer": "x^2/2-y^2=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/4 + y^2 = 1);Focus(G) = Focus(H);P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, G) = True",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7271,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7272,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7272.png",
+      "answer": "5+sqrt(13)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);F: Point;Focus(G) = F;A: Point;Coordinate(A) = (4,2);P: Point;PointOnCurve(P,G) =True;Negation(PointOnCurve(P,LineOf(A,F)))",
+      "coords": {
+        "A": [
+          4.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7273,
+      "success": false,
+      "error": "Circle from diameter: missing point coordinates"
+    },
+    {
+      "index": 7274,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7274.png",
+      "answer": "x^2/9 - y^2/16 = 1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/49 + y^2/24 = 1);Focus(G)=Focus(H);Expression(Asymptote(G))=(y=(pm*4/3)*x)",
+      "coords": {}
+    },
+    {
+      "index": 7275,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7276,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7276.png",
+      "answer": "16",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Distance(P, RightFocus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7277,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7277.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;H: Line;P: Point;Expression(G) = (x^2 + y^2/3 = 1);Expression(H) = (x + y - 4 = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 7278,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7279,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7279.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "F1: Point;F2: Point;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C);PointOnCurve(MidPoint(LineSegmentOf(P, F1)), yAxis);AngleOf(P, F1, F2) = ApplyUnit(30, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7280,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7281,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7281.png",
+      "answer": "2*sqrt(7)-2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/3 = 1);P: Point;PointOnCurve(P, RightPart(G));F: Point;RightFocus(G) = F;A: Point;Coordinate(A) = (3, sqrt(3))",
+      "coords": {
+        "A": [
+          3.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 7282,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7283,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7283.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Circle;F1: Point;F2: Point;P: Point;c:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G)={F1,F2};IsDiameter(Abs(LineSegmentOf(F1,F2)),H);OneOf(Intersection(H,G))=P;AngleOf(P, F1, F2) = 5*AngleOf(P, F2, F1)",
+      "coords": {}
+    },
+    {
+      "index": 7284,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7284.png",
+      "answer": "[\\sqrt{2},2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;a>0;b>0;L1:Line;L2:Line;d1:Number;d2:Number;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Asymptote(G)={L1,L2};Distance(P,L1)=d1;Distance(P,L2)=d2;3*a^2+b^2<=8*d1*d2",
+      "coords": {}
+    },
+    {
+      "index": 7285,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7285.png",
+      "answer": "2*sqrt(17) - 2",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);A: Point;RightVertex(C) = A;M: Point;Coordinate(M) = (2, 4);P: Point;PointOnCurve(P, C) ;L: Line;PointOnCurve(P, L) ;IsPerpendicular(L, LineOf(M, A)) ;FootPoint(L, LineOf(M, A)) = H;H: Point",
+      "coords": {
+        "M": [
+          2.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7286,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7286.png",
+      "answer": "y=pm*(5/4)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/16 + y^2/25 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7287,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7287.png",
+      "answer": "(0, 1/2]",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, C) = True;Coordinate(P) = (x0, y0);x0: Number;y0: Number;x0 >= 0;AngleOf(P, F1, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7288,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7289,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7289.png",
+      "answer": "sqrt(5)/10",
+      "fact_expr": "m: Number;m > 0;M: Hyperbola;Expression(M) = (x^2/4 - y^2 = 1);N: Circle;Expression(N) = (x^2 + (-m + y)^2 = 5);IsTangent(M, N);A: Point;Coordinate(A) = (-sqrt(5), 0);B: Point;Coordinate(B) = (sqrt(5), 0);P: Point;PointOnCurve(P, N);Abs(LineSegmentOf(P, A)) - Abs(LineSegmentOf(P, B)) = 4",
+      "coords": {
+        "A": [
+          -2.23606797749979,
+          0.0
+        ],
+        "B": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7290,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7290.png",
+      "answer": "44",
+      "fact_expr": "C: Hyperbola;P: Point;Q: Point;A: Point;F: Point;Expression(C) = (x^2/9 - y^2/16 = 1);Coordinate(A) = (5, 0);LeftFocus(C) = F;PointOnCurve(P, C);PointOnCurve(Q, C);Length(LineSegmentOf(P,Q))=2*Length(ImageinaryAxis(C));PointOnCurve(A,LineSegmentOf(P,Q))",
+      "coords": {
+        "A": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7291,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7291.png",
+      "answer": "(1,3]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;Focus(G) = {F1,F2};P: Point;PointOnCurve(P,RightPart(G)) = True;Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7292,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7293,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7293.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;A: Point;M: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(G)=A;Slope(H) = 1;Intersection(H,G) = {A, M};Intersection(H,yAxis)=B;Abs(LineSegmentOf(A, M)) = Abs(LineSegmentOf(M, B))",
+      "coords": {}
+    },
+    {
+      "index": 7294,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7295,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7295.png",
+      "answer": "y^2=8*x",
+      "fact_expr": "l: Line;Slope(l) = 2;G: Parabola;Expression(G) = (y^2 = a*x);a: Number;a>0;F: Point;Focus(G) = F;PointOnCurve(F, l);A: Point;Intersection(l, yAxis) = A;O: Origin;Area(TriangleOf(O, A, F)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7296,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7297,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7298,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7298.png",
+      "answer": "[3,15]",
+      "fact_expr": "G: Ellipse;T: Circle;A: Point;B: Point;P: Point;Expression(G) = (x^2/9 + y^2/8 = 1);Expression(T) = (y^2 + (x + 1)^2 = 1);PointOnCurve(P, G);IsDiameter(LineSegmentOf(A, B), T)",
+      "coords": {}
+    },
+    {
+      "index": 7299,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7299.png",
+      "answer": "4*x+3*y-7=0",
+      "fact_expr": "l: Line;G: Ellipse;A: Point;B: Point;M: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Coordinate(M) = (1, 1);PointOnCurve(M, l);MidPoint(LineSegmentOf(A, B)) = M;Intersection(l,G)={A,B}",
+      "coords": {
+        "M": [
+          1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7300,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7300.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "l: Line;C: Ellipse;P: Point;Q: Point;F: Point;O: Origin;Expression(C) = (x^2/4 + y^2/3 = 1);RightFocus(C)=F;PointOnCurve(O, l);Negation(Slope(l) = 0);Intersection(l, C) = {P, Q};Negation(P=Q)",
+      "coords": {}
+    },
+    {
+      "index": 7301,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7301.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;O: Origin;B: Point;C: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = b);Intersection(H, LeftPart(G))=B;Intersection(H,RightPart(G))=C;IsPerpendicular(LineSegmentOf(O,B),LineSegmentOf(O,C))",
+      "coords": {}
+    },
+    {
+      "index": 7302,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7303,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7304,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.6457513110645907,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 7.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7304.png",
+      "answer": "7",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;O: Origin;Expression(G) = (x^2/16 + y^2/7 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(O, P)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7305,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 5.744562646538029,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 33.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7305.png",
+      "answer": "14+sqrt(41)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/49 + y^2/33 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);M: Point;Coordinate(M) = (8, 5)",
+      "coords": {
+        "M": [
+          8.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 7306,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7306.png",
+      "answer": "16",
+      "fact_expr": "l: Line;G: Parabola;A: Point;M: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G)=F;PointOnCurve(F, l);Intersection(l, G) = {A, B};Intersection(Directrix(G), xAxis) = M;Tan(AngleOf(A, M, B)) = 4/3;F:Point",
+      "coords": {}
+    },
+    {
+      "index": 7307,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7307.png",
+      "answer": "3",
+      "fact_expr": "P: Point;PointOnCurve(P, G);G: Parabola;Expression(G) = (y^2 = 4*x);Q: Point;Coordinate(Q) = (2, -1)",
+      "coords": {
+        "Q": [
+          2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 7308,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7308.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + 4*y^2 = 4)",
+      "coords": {}
+    },
+    {
+      "index": 7309,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7309.png",
+      "answer": "sqrt(3)+1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;LeftFocus(C) = F;G: Line;PointOnCurve(F, G) = True;Inclination(G) = ApplyUnit(30, degree);A: Point;Intersection(G,C) = A;Quadrant(A) = 1;O: Origin;Abs(LineSegmentOf(O,F)) = Abs(LineSegmentOf(O,A))",
+      "coords": {}
+    },
+    {
+      "index": 7310,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7310.png",
+      "answer": "(3,pm*2*sqrt(3))",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);Distance(P, Focus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7311,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0010501146316528,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 3.455598402979376e-07,
+        "converged": true,
+        "iterations": 81
+      },
+      "output_path": "results/train/parabola/problem_7311.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "l: Line;E: Parabola;p: Number;P: Point;M: Point;A: Point;B: Point;p>0;Expression(E) = (y^2 = 2*(p*x));Coordinate(P) = (1, 2);Coordinate(M) = (1, 0);PointOnCurve(P, E);PointOnCurve(M, l);Intersection(l, E) = {A, B};VectorOf(A, M) = 3*VectorOf(M, B)",
+      "coords": {
+        "P": [
+          1.0,
+          2.0
+        ],
+        "M": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7312,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7313,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7313.png",
+      "answer": "pi/6",
+      "fact_expr": "G: Parabola;N: Point;F: Point;M: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;Intersection(Directrix(G),xAxis)=M;PointOnCurve(N,G);Abs(LineSegmentOf(N, F)) = (sqrt(3)/2)*Abs(LineSegmentOf(M, N))",
+      "coords": {}
+    },
+    {
+      "index": 7314,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7315,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7316,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7316.png",
+      "answer": "2",
+      "fact_expr": "C: Curve;Expression(C) = (x^2/3 + y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7317,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7317.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "l: Line;C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(l) = (x+sqrt(3)*y=0);IsPerpendicular(OneOf(Asymptote(C)),l);Distance(OneOf(Focus(C)), l) = 1",
+      "coords": {}
+    },
+    {
+      "index": 7318,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7318.png",
+      "answer": "4/3",
+      "fact_expr": "C: Parabola;p: Number;G: Line;A: Point;F: Point;B: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Focus(C) = F;PointOnCurve(F, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));2*Abs(LineSegmentOf(B, F)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7319,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7319.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G) ={F1,F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2));Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7320,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7320.png",
+      "answer": "5*sqrt(2)/4",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 10*x);Expression(H) = (x + y + 5 = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 7321,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7321.png",
+      "answer": "(1, 2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + (y + 2)^2 = 1);NumIntersection(Asymptote(G),H)=0",
+      "coords": {}
+    },
+    {
+      "index": 7322,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7322.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (x1,y1);Coordinate(B) = (x2,y2);PointOnCurve(Focus(G), H);Intersection(H, G) = {A,B};Abs(LineSegmentOf(A, B)) = 7;MidPoint(LineSegmentOf(A, B)) = M;x1:Number;x2:Number;y1:Number;y2:Number",
+      "coords": {}
+    },
+    {
+      "index": 7323,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7323.png",
+      "answer": "(6,+oo)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);A: Point;Intersection(Directrix(G), yAxis) = A;B: Point;PointOnCurve(B, SymmetryAxis(G));H: Line;PointOnCurve(A, H);M: Point;N: Point;Intersection(H, G) = {M, N};DotProduct(VectorOf(B, M), VectorOf(M, N)) = (-1/2)*VectorOf(M, N)^2;O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 7324,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7325,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7326,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7326.png",
+      "answer": "x = -4",
+      "fact_expr": "G: Parabola;p: Number;M: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(M) = (1, m);m:Number;PointOnCurve(M, G);Distance(M, Focus(G)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 7327,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7327.png",
+      "answer": "(0,-2)",
+      "fact_expr": "C: Parabola;Expression(C) = (y = -x^2/8)",
+      "coords": {}
+    },
+    {
+      "index": 7328,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7328.png",
+      "answer": "sqrt(6)/6",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);P: Point;a: Number;b: Number;Coordinate(P) = (a, b);PointOnCurve(P, RightPart(G));H: Line;Expression(H) = (y = x);Distance(P, H) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 7329,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7329.png",
+      "answer": "3",
+      "fact_expr": "l: Line;C: Parabola;P: Point;Q: Point;F: Point;Expression(C) = (y^2 = 8*x);Focus(C) = F;PointOnCurve(F,l);Intersection(l, C) = {P,Q};Abs(LineSegmentOf(P, Q)) = 32/3;Abs(LineSegmentOf(P, F)) > Abs(LineSegmentOf(Q, F))",
+      "coords": {}
+    },
+    {
+      "index": 7330,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7331,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7331.png",
+      "answer": "y^2=12*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/25 + y^2/16 = 1);Vertex(G) = Center(H);Focus(G) = RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7332,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7332.png",
+      "answer": "(1,2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P, RightPart(G));Abs(LineSegmentOf(P, F1)) = 3*Abs(LineSegmentOf(P, F2));Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 7333,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7333.png",
+      "answer": "x^2/4+y^2=1",
+      "fact_expr": "l: Line;C: Ellipse;b: Number;a: Number;P: Point;M: Point;N: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Length(MajorAxis(C)) = 4;PointOnCurve(P, C);O:Origin;PointOnCurve(O,l);Intersection(l, C) = {M, N};Slope(LineSegmentOf(P, M)) = K1;Slope(LineSegmentOf(P, N)) = K2;K1*K2 = -1/4;K1:Number;K2:Number",
+      "coords": {}
+    },
+    {
+      "index": 7334,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7334.png",
+      "answer": "sqrt(21)/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;F1: Point;F2: Point;N: Point;O: Origin;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Focus(C) = {F1, F2};PointOnCurve(M, Asymptote(C));Abs(LineSegmentOf(M, F1)) = 2*Abs(LineSegmentOf(M, F2));VectorOf(M, N) = 2*VectorOf(O, N);AngleOf(M, F2, N) = ApplyUnit(120, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7335,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7335.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;H: Line;Expression(H) = (x + 3*y + 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 7336,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7336.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Ellipse;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2/20 + y^2/25 = 1);Distance(Focus(C),Asymptote(C))=2;FocalLength(C)=FocalLength(G)",
+      "coords": {}
+    },
+    {
+      "index": 7337,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7337.png",
+      "answer": "[1, 5)",
+      "fact_expr": "G: Ellipse;m: Number;H: Line;a: Real;Expression(G) = (x^2/5 + y^2/m = 1);Expression(H) = (y = -1 + a*x);IsIntersect(G, H) ;PointOnCurve(Focus(G),xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 7338,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7338.png",
+      "answer": "sqrt(7)",
+      "fact_expr": "Gamma: Hyperbola;a: Number;b: Number;lambda:Number;A: Point;B: Point;F1: Point;C: Point;F2: Point;a>0;b>0;Expression(Gamma) = (x^2/a^2 - y^2/b^2 = 1);LeftFocus(Gamma) = F1;RightFocus(Gamma) = F2;PointOnCurve(A,LeftPart(Gamma));PointOnCurve(B,RightPart(Gamma));VectorOf(A,B)=lambda*VectorOf(F1,A);PointOnCurve(C, xAxis);VectorOf(C, B) = 3*VectorOf(F2, A);DotProduct(VectorOf(B, F2), VectorOf(B, F1))/Abs(VectorOf(B, F1)) = DotProduct(VectorOf(B, F2), VectorOf(B, C))/Abs(VectorOf(B, C))",
+      "coords": {}
+    },
+    {
+      "index": 7339,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7340,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7340.png",
+      "answer": "y=pm*2*x",
+      "fact_expr": "E: Hyperbola;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;A: Point;RightVertex(E) = A;G: Line;PointOnCurve(A, G) = True;Slope(G) = -1;Intersection(G, Asymptote(E)) = {B, C};B: Point;C: Point;2*VectorOf(B, A) + VectorOf(B, C) = 0",
+      "coords": {}
+    },
+    {
+      "index": 7341,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7342,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7342.png",
+      "answer": "3*sqrt(5)/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);P: Point;PointOnCurve(P, G);Q: Point;Coordinate(Q) = (1/4, 0)",
+      "coords": {
+        "Q": [
+          0.25,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7343,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7343.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;O: Origin;F1: Point;P: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(P,RightPart(C));Abs(LineSegmentOf(O,P))= Abs(LineSegmentOf(O, F1));Abs(LineSegmentOf(P, F1)) = sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7344,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7344.png",
+      "answer": "y = pm*sqrt(3)*x",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;RightFocus(C) = F;F: Point;Coordinate(F) = (c, 0);c: Number;Distance(F, Asymptote(C)) = c*sqrt(3)/2",
+      "coords": {}
+    },
+    {
+      "index": 7345,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7345.png",
+      "answer": "2*pi/3",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 8*y);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;M: Point;Intersection(l, yAxis) = M;P: Point;PointOnCurve(P, G) = True;IsPerpendicular(LineSegmentOf(P, Q), l) = True;Intersection(LineSegmentOf(P, Q), l) = Q;Q: Point;Abs(LineSegmentOf(P, F)) = 8/3;PointOnCurve(P,LineSegmentOf(P,Q))",
+      "coords": {}
+    },
+    {
+      "index": 7346,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7346.png",
+      "answer": "sqrt(3) + 1",
+      "fact_expr": "F1: Point;F2: Point;C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;LeftFocus(C) = F1;RightFocus(C) = F2;P: Point;PointOnCurve(P, RightPart(C)) = True;Abs(LineSegmentOf(O, P)) = Abs(LineSegmentOf(O, F1));O: Origin;Abs(LineSegmentOf(P, F1)) = sqrt(3)*Abs(LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7347,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7347.png",
+      "answer": "{x=0,3*x+4*y+8=0}",
+      "fact_expr": "l: Line;C: Parabola;A: Point;Expression(C) = (y^2 = 6*x);Coordinate(A) = (0, 2);IsTangent(l,C);PointOnCurve(A,l)=True",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7348,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7349,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7350,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7351,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7351.png",
+      "answer": "2",
+      "fact_expr": "l: Line;G: Parabola;p: Number;O: Origin;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G)=F;PointOnCurve(F,l);Slope(l)=1/2;Intersection(l,G)={A,B};Area(TriangleOf(O,A,B))=2*sqrt(5);F:Point",
+      "coords": {}
+    },
+    {
+      "index": 7352,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7352.png",
+      "answer": "32",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 2*(p*y));p: Number;p>0;F: Point;Focus(G) = F;O: Origin;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Coordinate(C) = (2*p, 0);Intersection(l, xAxis) = C;Abs(LineSegmentOf(A, B)) = 17",
+      "coords": {}
+    },
+    {
+      "index": 7353,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7353.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x - 3*y + 1 = 0);IsPerpendicular(OneOf(Asymptote(G)), H)",
+      "coords": {}
+    },
+    {
+      "index": 7354,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7355,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.820299506187439,
+        "b": 1.6536897822836507,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 1.2588495006847936e-06,
+        "converged": true,
+        "iterations": 97
+      },
+      "output_path": "results/train/ellipse/problem_7355.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;P: Point;Coordinate(P) = (0, sqrt(3));a > b;b > 0;PointOnCurve(P,G);Length(MajorAxis(G))=2*FocalLength(G)",
+      "coords": {
+        "P": [
+          0.0,
+          1.7320508075688772
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 7356,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7357,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7357.png",
+      "answer": "x^2/9 - y^2/3 = 1",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2 + 4*y^2 = 16);G: Hyperbola;Focus(G) = Focus(H);Expression(OneOf(Asymptote(G))) = (x + sqrt(3)*y = 0)",
+      "coords": {}
+    },
+    {
+      "index": 7358,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7359,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7359.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "G: Parabola;Q: Point;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(Q) = (2, 3);PointOnCurve(P, G)",
+      "coords": {
+        "Q": [
+          2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7360,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7360.png",
+      "answer": "sqrt(6)/2",
+      "fact_expr": "F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;C: Hyperbola;Expression(C) = (x^2 - y^2 = 1);P: Point;PointOnCurve(P, C);AngleOf(F1, P, F2) = ApplyUnit(60, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7361,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7362,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7362.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;Expression(G) = (y^2 = -4*x);Slope(H)=-1;PointOnCurve(Focus(G),H);Intersection(H,G)={A,B}",
+      "coords": {}
+    },
+    {
+      "index": 7363,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7363.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, Focus(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7364,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7364.png",
+      "answer": "3/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 12*x);M: Point;Coordinate(M) = (-3, 4);PointOnCurve(Focus(C), G) = True;Slope(G) = k;k: Number;G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;DotProduct(VectorOf(M, A), VectorOf(M, B)) = 0",
+      "coords": {
+        "M": [
+          -3.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7365,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7366,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7366.png",
+      "answer": "(2*sqrt(3),7/2)",
+      "fact_expr": "C: Ellipse;Q: Point;R: Point;O: Origin;P: Point;Expression(C) = (x^2/4 + y^2/3 = 1);PointOnCurve(P,C);Quadrant(P)=2;L:Line;TangentOnPoint(P,C)=L;Intersection(L,yAxis)=Q;PointOnCurve(Q,LineSegmentOf(Q,R));IsPerpendicular(LineSegmentOf(Q,R),LineSegmentOf(O,P));FootPoint(LineSegmentOf(Q,R),LineSegmentOf(O,P))=R",
+      "coords": {}
+    },
+    {
+      "index": 7367,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7367.png",
+      "answer": "[4, +oo)",
+      "fact_expr": "H: Line;Expression(H) = (x = t);t: Number;G: Parabola;Expression(G) = (y^2 = 4*x);A: Point;B: Point;Intersection(H, G) = {A, B};C: Point;PointOnCurve(C, G);IsPerpendicular(LineSegmentOf(A, C), LineSegmentOf(B, C))",
+      "coords": {}
+    },
+    {
+      "index": 7368,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7368.png",
+      "answer": "15",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(C) = F;Distance(F, Directrix(C)) = 4;l: Line;PointOnCurve(F, l);P: Point;Q: Point;Intersection(l, C) = {P, Q};Abs(LineSegmentOf(P, F)) = 10",
+      "coords": {}
+    },
+    {
+      "index": 7369,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7369.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7370,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7371,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7371.png",
+      "answer": "48",
+      "fact_expr": "G: Hyperbola;P: Point;F2: Point;F1: Point;Expression(G) = (x^2/9 - y^2/16 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,RightPart(G));Abs(LineSegmentOf(P, F2)) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7372,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7372.png",
+      "answer": "(7+pm*sqrt(17))/16",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;Focus(G) = F2;P: Point;OneOf(Intersection(C, G)) = P;Cos(AngleOf(P, F1, F2)) = 7/9",
+      "coords": {}
+    },
+    {
+      "index": 7373,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7373.png",
+      "answer": "(0,1/2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/2)",
+      "coords": {}
+    },
+    {
+      "index": 7374,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7374.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7375,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7376,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7377,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7377.png",
+      "answer": "x^2/4 - y^2/16 = 1\nsqrt(5)",
+      "fact_expr": "C: Hyperbola;a:Number;b:Number;a>0;b>0;G: Line;P: Point;F1: Point;F2: Point;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Expression(G) = (y = 2*x);LeftFocus(C) = F1;RightFocus(C) = F2;OneOf(Asymptote(C))=G;PointOnCurve(P, C);Abs(LineSegmentOf(P,F1))-Abs(LineSegmentOf(P,F2))=4",
+      "coords": {}
+    },
+    {
+      "index": 7378,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7378.png",
+      "answer": "3/4",
+      "fact_expr": "C: Ellipse;H: Line;A: Point;B: Point;F1: Point;F2: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;IsPerpendicular(xAxis,H);PointOnCurve(F1, H);Intersection(H, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7379,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7379.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;RightFocus(G) = F;H: Line;O: Origin;PointOnCurve(O, H);A: Point;P: Point;Intersection(H, G) = {A, P};IsPerpendicular(LineSegmentOf(P, F), xAxis);B: Point;Intersection(LineOf(A, F), G) = B;IsPerpendicular(LineSegmentOf(P, B), LineSegmentOf(P, A));e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 7380,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7381,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7381.png",
+      "answer": "20",
+      "fact_expr": "C: Hyperbola;m: Number;G: Parabola;A: Point;B: Point;m>0;Expression(C) = (2*x^2 - y^2 = m);Expression(G) = (y^2 = 16*x);Intersection(C, Directrix(G)) = {A,B};Abs(LineSegmentOf(A,B))=4*sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 7382,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7382.png",
+      "answer": "(2/3)*sqrt(21)",
+      "fact_expr": "G: Ellipse;P: Point;A: Point;Expression(G) = (x^2/4 + y^2 = 1);Coordinate(A) = (0, 2);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7383,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7383.png",
+      "answer": "-4*sqrt(5)",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;Expression(G) = (x^2/4 - y^2 = 1);Expression(H) = (y^2 = a*x);Focus(H) = LeftFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 7384,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7384.png",
+      "answer": "y^2=4*sqrt(2)*x",
+      "fact_expr": "G: Parabola;H: Ellipse;Expression(H) = (x^2/3 + y^2 = 1);Focus(G)=RightFocus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7385,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7385.png",
+      "answer": "(1, 2]",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = sqrt(3)*x);NumIntersection(G, H)=0;e: Number;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 7386,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7386.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "T: Ellipse;Expression(T) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;A: Point;B: Point;In(A,Vertex(T));Coordinate(A) = (a, 0);Coordinate(B) = (0, b);In(B,Vertex(T));C: Point;D: Point;L1: Line;L2: Line;PointOnCurve(A,L1);IsPerpendicular(L1,LineSegmentOf(A,B));PointOnCurve(B,L2);IsPerpendicular(L2,LineSegmentOf(A,B));Intersection(L1,T) = D;Intersection(L2,T) = C;LineSegmentOf(B, C) = 3*LineSegmentOf(A, D);Negation(C = Vertex(T))",
+      "coords": {}
+    },
+    {
+      "index": 7387,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7388,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7388.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;H: Parabola;Expression(H) = (y^2 = 12*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7389,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7389.png",
+      "answer": "0",
+      "fact_expr": "C: Ellipse;P: Point;F: Point;A: Point;Expression(C) = (x^2/4 + y^2/3 = 1);LeftFocus(C) = F;RightVertex(C)=A;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 7390,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7391,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7391.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;P: Point;F: Point;Q: Point;Expression(C) = (y^2 = 4*x);Coordinate(P) = (-1, 0);Focus(C) = F;PointOnCurve(P, l);Intersection(l, C) = {A, B};MidPoint(LineSegmentOf(A,B)) = Q;Abs(LineSegmentOf(F, Q)) = 2",
+      "coords": {
+        "P": [
+          -1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7392,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7393,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7393.png",
+      "answer": "{11, 29}",
+      "fact_expr": "G: Ellipse;k: Number;Expression(G) = (x^2/20 + y^2/k = 1);FocalLength(G) = 6",
+      "coords": {}
+    },
+    {
+      "index": 7394,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7394.png",
+      "answer": "5*y^2/4-x^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/5 - y^2/4 = 1);C: Hyperbola;Asymptote(C) = Asymptote(G);H: Point;Coordinate(H) = (2, 2);PointOnCurve(H, C)",
+      "coords": {
+        "H": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7395,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7395.png",
+      "answer": "pm*9/4",
+      "fact_expr": "P: Point;G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};AngleOf(F1, P, F2) = pi/2",
+      "coords": {}
+    },
+    {
+      "index": 7396,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_7396.png",
+      "answer": "3/16",
+      "fact_expr": "G: Hyperbola;n: Number;m: Number;H: Parabola;Expression(G) = (-y^2/n + x^2/m = 1);Expression(H) = (y^2 = 4*x);Eccentricity(G) = 2;OneOf(Focus(G)) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7397,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7397.png",
+      "answer": "1",
+      "fact_expr": "G: Parabola;p: Number;H: Circle;M: Point;C: Point;N: Point;p>0;Expression(G) = (x^2 = 2*p*y);Center(H)=C;PointOnCurve(C,G);Coordinate(A) = (0, p);PointOnCurve(A,H);Intersection(xAxis,H) ={M,N};A:Point",
+      "coords": {}
+    },
+    {
+      "index": 7398,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7398.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "l: Line;E: Parabola;A: Point;B: Point;C:Point;Expression(E) = (y^2 = 4*x);PointOnCurve(Focus(E), l);Intersection(l, E) = {A, B};Intersection(l, Directrix(E)) = C;MidPoint(LineSegmentOf(A, C)) = B;Quadrant(A)=1",
+      "coords": {}
+    },
+    {
+      "index": 7399,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7400,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7400.png",
+      "answer": "2-sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);Inclination(H) = ApplyUnit(120, degree);M: Point;OneOf(Intersection(H, G)) = M;IsPerpendicular(LineSegmentOf(M, F1), xAxis)",
+      "coords": {}
+    },
+    {
+      "index": 7401,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7402,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7402.png",
+      "answer": "x^2/4 + y^2/2 = 1",
+      "fact_expr": "G: Hyperbola;H: Parabola;I: Ellipse;b: Number;a: Number;Expression(G) = (x^2 - y^2 = 1);Expression(H) = (y^2 = 8*x);Expression(I) = (y^2/b^2 + x^2/a^2 = 1);PointOnCurve(Focus(H), I);Focus(I) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 7403,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7403.png",
+      "answer": "x^2 - y^2 / 3 = 1",
+      "fact_expr": "H: Parabola;Expression(H) = (y^2 = 4*x);G: Hyperbola;Focus(H) = Vertex(G);Vertex(H) = Center(G);Eccentricity(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7404,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7405,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7405.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;H: Line;A: Point;B: Point;F: Point;p>0;Expression(G) = (y^2 = 2*p*x);Focus(G) = F;PointOnCurve(F, H);Inclination(H) = ApplyUnit(45, degree);Intersection(H, G) = {A, B};Length(LineSegmentOf(A,B))=8",
+      "coords": {}
+    },
+    {
+      "index": 7406,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7406.png",
+      "answer": "y^2/20 - x^2/36 = 1",
+      "fact_expr": "C1:Hyperbola;C2:Hyperbola;M: Point;Expression(C1)=(x^2/9-y^2/5=1);Asymptote(C1)=Asymptote(C2);Coordinate(M) = (3, 5);PointOnCurve(M, C2)",
+      "coords": {
+        "M": [
+          3.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 7407,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.125,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7407.png",
+      "answer": "17/8",
+      "fact_expr": "C: Parabola;Expression(C) = (y = 2*x^2);F: Point;Focus(C) = F;P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);PointOnCurve(P, C);x0 = 1",
+      "coords": {}
+    },
+    {
+      "index": 7408,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7409,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7409.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Inclination(OneOf(Asymptote(G))) = pi/3;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 7410,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7410.png",
+      "answer": "pm*sqrt(3)",
+      "fact_expr": "Gamma: Parabola;Expression(Gamma) = (y = x^2);M: Point;PointOnCurve(M, Gamma) = True;Distance(M, Focus(Gamma)) = 1",
+      "coords": {}
+    },
+    {
+      "index": 7411,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7412,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7413,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7414,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          3.0,
+          0.0
+        ],
+        "radius": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_7414.png",
+      "answer": "x^2/36+y^2/27=1",
+      "fact_expr": "C1: Circle;C2: Circle;Expression(C2) = (y^2 + (x + 3)^2 = 4);IsOutTangent(C1,C2) = True;C3: Circle;Expression(C3) = (y^2 + (x - 3)^2 = 100);IsInTangent(C1,C3) = True",
+      "coords": {}
+    },
+    {
+      "index": 7415,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7415.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Line;m: Number;k: Number;A: Point;B: Point;N: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = k*x + m);C:Curve;Expression(C)=(y=x/k);Intersection(H,Asymptote(G))={A,B};Intersection(H,C)=N;MidPoint(LineSegmentOf(A, B)) = N",
+      "coords": {}
+    },
+    {
+      "index": 7416,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7417,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7418,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7419,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7420,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7420.png",
+      "answer": "(pm*4*sqrt(2),4)",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (x^2 = 8*y);PointOnCurve(P, G);Distance(P, Focus(G)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 7421,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7421.png",
+      "answer": "(-4/3,2/3)",
+      "fact_expr": "G: Ellipse;H: Line;Expression(G) = (x^2 + 2*y^2 = 4);Expression(H) = (y = x + 2)",
+      "coords": {}
+    },
+    {
+      "index": 7422,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 5.196152422706632,
+        "major_axis": "y",
+        "x_coef": 27.0,
+        "y_coef": 36.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7422.png",
+      "answer": "-x^2/5 + y^2/4 = 4",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(H) = (x^2/27 + y^2/36 = 1);Focus(G) = Focus(H);YCoordinate(OneOf(Intersection(G, H))) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7423,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7423.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 6*y);H: LineSegment;IsChordOf(H, G);PointOnCurve(Focus(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 7424,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7424.png",
+      "answer": "2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F: Point;LeftFocus(C) = F;Coordinate(F) = (-c, 0);P: Point;F1: Circle;Expression(F1) = (-2*c*x + x^2 + y^2 = 0);PointOnCurve(P, F1) = True;PerpendicularBisector(LineSegmentOf(F,P)) =  OneOf(Asymptote(C));c:Number",
+      "coords": {}
+    },
+    {
+      "index": 7425,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7425.png",
+      "answer": "[1/3,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Focus(G) = {F1,F2};PointOnCurve(P,G);Abs(LineSegmentOf(P,F1))=2*Abs(LineSegmentOf(P,F2))",
+      "coords": {}
+    },
+    {
+      "index": 7426,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7426.png",
+      "answer": "sqrt(10)/5",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;G: Line;PointOnCurve(F, G);Inclination(G) = ApplyUnit(60, degree);A: Point;B: Point;Intersection(G, C) = {A, B};M: Point;Coordinate(M) = (-5, sqrt(3));MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          -5.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 7427,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7427.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = 4*y);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (1, 5);l: Line;PointOnCurve(P, l);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          1.0,
+          5.0
+        ]
+      }
+    },
+    {
+      "index": 7428,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7428.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;L1: Line;L2: Line;Asymptote(G) = {L1, L2};k1: Number;k2: Number;Slope(L1) = k1;Slope(L2) = k2;k1*k2 = -3",
+      "coords": {}
+    },
+    {
+      "index": 7429,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7429.png",
+      "answer": "8*sqrt(3)",
+      "fact_expr": "G: Hyperbola;F1: Point;A: Point;F2: Point;B: Point;L:Line;Expression(G) = (x^2/4 - y^2/8 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F2,L);Intersection(F2,RightPart(G))={A,B};AngleOf(F1, A, B) = pi/3",
+      "coords": {}
+    },
+    {
+      "index": 7430,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7430.png",
+      "answer": "x^2-2*y^2=1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1);P: Point;PointOnCurve(P, G);Z: Line;PointOnCurve(P, Z);IsPerpendicular(Z, xAxis);Q: Point;FootPoint(Z, xAxis) = Q;M: Point;MidPoint(LineSegmentOf(P, Q)) = M",
+      "coords": {}
+    },
+    {
+      "index": 7431,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7431.png",
+      "answer": "3*sqrt(6)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/4 = 1);A: Point;LeftVertex(G) = A;B: Point;C: Point;PointOnCurve(B, LeftPart(G));PointOnCurve(C, RightPart(G));IsParallel(LineSegmentOf(B, C), xAxis);L1: Line;L2: Line;PointOnCurve(B, L1);PointOnCurve(C, L2);IsPerpendicular(L1, LineOf(A, B));IsPerpendicular(L2, LineOf(A, C));D: Point;Intersection(L1, L2) = D;Area(TriangleOf(B, C, D)) = (27*sqrt(3))/4",
+      "coords": {}
+    },
+    {
+      "index": 7432,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7432.png",
+      "answer": "4/3",
+      "fact_expr": "C: Parabola;p: Number;G: Line;F: Point;B: Point;A: Point;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (-2, 3);PointOnCurve(A, Directrix(C));PointOnCurve(A, G);TangentPoint(G, C) = B;Quadrant(B) = 1;Focus(C) = F",
+      "coords": {
+        "A": [
+          -2.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7433,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7433.png",
+      "answer": "2 - 2*sqrt(2)",
+      "fact_expr": "G: Ellipse;H: Line;t: Number;A: Point;M: Point;N: Point;Expression(G) = (x^2/16 + y^2/4 = 1);Expression(H) = (x = t*y + 4);LowerVertex(G) = A;Intersection(H, G) = {M, N};Negation(M = N);WhenMax(XCoordinate(Circumcenter(TriangleOf(A, M, N))))",
+      "coords": {}
+    },
+    {
+      "index": 7434,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7434.png",
+      "answer": "(4/3, 0)",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;M: Point;PointOnCurve(M, G);Distance(M, Directrix(G)) = 2;Distance(M, Vertex(G)) = Distance(M, Focus(G))",
+      "coords": {}
+    },
+    {
+      "index": 7435,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7436,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7436.png",
+      "answer": "12",
+      "fact_expr": "C: Parabola;G: Point;P: Point;Expression(C) = (y^2 = 4*x);Coordinate(G) = (6, 12);PointOnCurve(P, C)",
+      "coords": {
+        "G": [
+          6.0,
+          12.0
+        ]
+      }
+    },
+    {
+      "index": 7437,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7437.png",
+      "answer": "(0,15)",
+      "fact_expr": "G: Hyperbola;m: Number;Expression(G) = (y^2/5 - x^2/m = 1);Eccentricity(G) = e;e:Number;In(e,(1,2))",
+      "coords": {}
+    },
+    {
+      "index": 7438,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7438.png",
+      "answer": "x+2*y-3=0",
+      "fact_expr": "G: Ellipse;H: LineSegment;Expression(G) = (x^2/4 + y^2/2 = 1);Coordinate(MidPoint(H)) = (1,1);IsChordOf(H,G)",
+      "coords": {}
+    },
+    {
+      "index": 7439,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7439.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Parabola;H: Ellipse;b: Number;Expression(G) = (y^2 = -4*x);b>0;Expression(H) = (x^2/4 + y^2/b^2 = 1);PointOnCurve(Focus(H), Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 7440,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7440.png",
+      "answer": "(0, 0)",
+      "fact_expr": "G: Parabola;A: Point;B: Point;P: Point;Expression(G) = (y^2 = -4*x);Coordinate(A) = (2, 0);Coordinate(B) = (4, 0);PointOnCurve(P, G);WhenMin(DotProduct(VectorOf(A, P), VectorOf(B, P)))",
+      "coords": {
+        "A": [
+          2.0,
+          0.0
+        ],
+        "B": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7441,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7441.png",
+      "answer": "[1, 5)+(5, +\\infty)",
+      "fact_expr": "k: Real;H: Line;Expression(H) = (-k*x + y - 1 = 0);G: Ellipse;Expression(G) = (x^2/5 + y^2/m = 1);m: Real;IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 7442,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7443,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7443.png",
+      "answer": "sqrt(7)/14",
+      "fact_expr": "G: Ellipse;B: Point;A: Point;F: Point;C: Point;D: Point;Expression(G) = (x^2/4 + y^2/3 = 1);UpperVertex(G)=A;LowerVertex(G)=C;LeftVertex(G)=B;LeftFocus(G) = F;Intersection(LineOf(A,B), LineOf(F, C)) = D",
+      "coords": {}
+    },
+    {
+      "index": 7444,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7444.png",
+      "answer": "25",
+      "fact_expr": "C: Ellipse;Expression(C)=(x^2/25+y^2/16=1);P: Point;F1: Point;F2: Point;LeftFocus(C)=F1;RightFocus(C)=F2;PointOnCurve(P,C);Abs(LineSegmentOf(P,F1))*Abs(LineSegmentOf(P,F2))=m;m: Number",
+      "coords": {}
+    },
+    {
+      "index": 7445,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7445.png",
+      "answer": "{0,1/2,-1}",
+      "fact_expr": "H: Line;Expression(H) = (y = k*(x + 2) + 1);G: Parabola;Expression(G) = (y^2 = 4*x);NumIntersection(H, G) = 1;k: Number",
+      "coords": {}
+    },
+    {
+      "index": 7446,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 2.23606797749979,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7446.png",
+      "answer": "8/3",
+      "fact_expr": "G: Hyperbola;P: Point;Expression(G) = (x^2/4 - y^2/5 = 1);PointOnCurve(P, LeftPart(G));Distance(P, RightFocus(G)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 7447,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7447.png",
+      "answer": "{2,8}",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;H: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*p*x);Coordinate(H) = (0, 2);Focus(C) = F;PointOnCurve(M, C);Abs(LineSegmentOf(M, F)) = 5;IsDiameter(LineSegmentOf(M,F),G);PointOnCurve(H,G)",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7448,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7448.png",
+      "answer": "(3*sqrt(2)-sqrt(10))/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(C) = F;l: Line;O: Origin;PointOnCurve(O, l);Inclination(l) = pi/3;M: Point;N: Point;Intersection(l, C) = {M, N};AngleOf(M, F, N) = (2*pi)/3",
+      "coords": {}
+    },
+    {
+      "index": 7449,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7449.png",
+      "answer": "sqrt(3)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;H: Line;PointOnCurve(Focus(G), H);IsPerpendicular(H, xAxis);Length(InterceptChord(H, G)) = a/2",
+      "coords": {}
+    },
+    {
+      "index": 7450,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7451,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7451.png",
+      "answer": "2*sqrt(2)+2*sqrt(5)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/4 = 1);P:Point;PointOnCurve(P,G);H: Line;Expression(H) = (2*x - y + 10 = 0)",
+      "coords": {}
+    },
+    {
+      "index": 7452,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7452.png",
+      "answer": "2*sqrt(10)/5",
+      "fact_expr": "l: Line;G: Ellipse;P: Point;Expression(G) = (x^2/4 + y^2 = 1);Expression(l) = (x + 2*y = 0);PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 7453,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7453.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Parabola;a: Number;Expression(G) = (-x^2 + y^2 = 2);Expression(H) = (x^2 = a*y);Focus(H) = UpperFocus(G)",
+      "coords": {}
+    },
+    {
+      "index": 7454,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7454.png",
+      "answer": "16/3",
+      "fact_expr": "Slope(G) = sqrt(3);G: Line;C: Parabola;Expression(C) = (y^2 = 4*x);PointOnCurve(Focus(C), G) = True;Intersection(G, C) = {A, B};A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 7455,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7455.png",
+      "answer": "y=x-1",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, l);Slope(l) = k;k:Number;k>0;Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 8",
+      "coords": {}
+    },
+    {
+      "index": 7456,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7457,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7458,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7459,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7460,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "down"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7460.png",
+      "answer": "7/2",
+      "fact_expr": "G: Parabola;H: Line;N: Point;F: Point;Expression(G) = (y = -x^2/2);Expression(H) = (y = 1);PointOnCurve(N, G);Focus(G) = F;Distance(N, F) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7461,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7462,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.94427190999916,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 80.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7462.png",
+      "answer": "1/2",
+      "fact_expr": "G: Ellipse;H: Line;k: Number;P: Point;Q: Point;Expression(G) = (x^2 + 4*y^2 = 80);Expression(H) = (y = k*x - 2);Intersection(H, G) = {P, Q};Negation(P=Q);XCoordinate(MidPoint(LineSegmentOf(P, Q))) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7463,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.366584062576294,
+        "b": 2.364173412322998,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.00017838670464698225,
+        "converged": true,
+        "iterations": 89
+      },
+      "output_path": "results/train/hyperbola/problem_7463.png",
+      "answer": "(pm*2,0)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Length(RealAxis(C))=2;Eccentricity(C)=2",
+      "coords": {}
+    },
+    {
+      "index": 7464,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7464.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;A: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(A, G);XCoordinate(A) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7465,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7466,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7467,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7467.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;p>0;Coordinate(Focus(G)) = (1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 7468,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7468.png",
+      "answer": "10",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/9 - y^2/16 = 1);P: Point;PointOnCurve(P, G);Distance(P, LeftFocus(G)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7469,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7469.png",
+      "answer": "x^2 = -12 \\cdot y",
+      "fact_expr": "G: Parabola;O: Origin;Vertex(G) = O;PointOnCurve(Focus(G), yAxis);Expression(Directrix(G)) = (y=3)",
+      "coords": {}
+    },
+    {
+      "index": 7470,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7470.png",
+      "answer": "{5,3}",
+      "fact_expr": "G: Ellipse;m: Real;Expression(G) = (y^2/4 + x^2/m = 1);FocalLength(G) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7471,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 5.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7471.png",
+      "answer": "pm*8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = m*x);m: Number;H: Ellipse;Expression(H) = (x^2/9 + y^2/5 = 1);Focus(G) = OneOf(Focus(H))",
+      "coords": {}
+    },
+    {
+      "index": 7472,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.463192105293274,
+        "b": 2.070901870727539,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.4661259228887502e-06,
+        "converged": true,
+        "iterations": 106
+      },
+      "output_path": "results/train/hyperbola/problem_7472.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;a: Real;a>0;Expression(G) = (-y^2/4 + x^2/a^2 = 1);Eccentricity(G) = sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 7473,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7473.png",
+      "answer": "-2",
+      "fact_expr": "M: Point;Coordinate(M) = (2, 2);C: Parabola;Expression(C) = (y^2 = -8*x);G: Line;k: Number;Slope(G)=k;PointOnCurve(Focus(C),G);A: Point;B: Point;Intersection(G,C)={A,B};IsPerpendicular(VectorOf(M,A),VectorOf(M,B))",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7474,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7475,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7476,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7476.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 16*x);Coordinate(A) = (8, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          8.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7477,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7477.png",
+      "answer": "1",
+      "fact_expr": "G: Hyperbola;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/4 - y^2 = 1);Focus(G) = {F1, F2};PointOnCurve(P, G);AngleOf(F1, P, F2) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7478,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7478.png",
+      "answer": "(18, \\pm 12)",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (y^2 = 8*x);PointOnCurve(P, G);Distance(P, Focus(G)) = 20",
+      "coords": {}
+    },
+    {
+      "index": 7479,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7479.png",
+      "answer": "8",
+      "fact_expr": "l: Line;G: Parabola;p: Number;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Expression(Directrix(G)) = (x = -1);Expression(l)=(y=x-1);Intersection(l,G)={A,B};IsChordOf(LineSegmentOf(A,B),G)",
+      "coords": {}
+    },
+    {
+      "index": 7480,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7480.png",
+      "answer": "1+sqrt(2)",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;Slope(l) = 1;PointOnCurve(F1, l);P: Point;Intersection(l, RightPart(C)) = P;AngleOf(F1, F2, P) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7481,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7481.png",
+      "answer": "13",
+      "fact_expr": "G: Parabola;P: Point;F: Point;Expression(G) = (y^2 = 16*x);PointOnCurve(P, G);Distance(P,SymmetryAxis(G))=12;Focus(G) = F",
+      "coords": {}
+    },
+    {
+      "index": 7482,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7482.png",
+      "answer": "sqrt(5)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;Abs(LineSegmentOf(F1, F2)) = 4*sqrt(5);P: Point;PointOnCurve(P, C);Perimeter(TriangleOf(P, F1, F2)) = 4*sqrt(5) + 12",
+      "coords": {}
+    },
+    {
+      "index": 7483,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7483.png",
+      "answer": "4",
+      "fact_expr": "G: Hyperbola;A: Circle;M: Point;P: Point;F1: Point;F2: Point;m:Number;Expression(G) = (x^2/16 - y^2/9 = 1);Coordinate(M) = (m, 0);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));IsInscribedCircle(A, TriangleOf(P,F1,F2));TangentPoint(xAxis,A)=M",
+      "coords": {}
+    },
+    {
+      "index": 7484,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7484.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;OneOf(Focus(G)) = F;F: Point;L: Line;PointOnCurve(F, L) ;IsPerpendicular(L, Asymptote(G)) ;FootPoint(L, Asymptote(G)) = M;M: Point;Intersection(OverlappingLine(LineSegmentOf(F, M)), yAxis) = E;E: Point;Abs(LineSegmentOf(F, M)) = Abs(LineSegmentOf(M, E))",
+      "coords": {}
+    },
+    {
+      "index": 7485,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7485.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);M: Point;PointOnCurve(M, G);H: Line;Expression(H) = (y = x);Distance(M, H) = 4*sqrt(2);m: Number;n: Number;Coordinate(M) = (m, n);m>0;n>0",
+      "coords": {}
+    },
+    {
+      "index": 7486,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 4.47213595499958,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7486.png",
+      "answer": "17",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/20 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 9",
+      "coords": {}
+    },
+    {
+      "index": 7487,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "y",
+        "x_coef": 2.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7487.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G)=(y^2/4+x^2/2=1)",
+      "coords": {}
+    },
+    {
+      "index": 7488,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7488.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7489,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7490,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7490.png",
+      "answer": "(0,2]+[8,+oo)",
+      "fact_expr": "F1: Point;F2: Point;C: Ellipse;Expression(C) = (y^2/4 + x^2/m = 1);m: Real;Focus(C) = {F1, F2};M: Point;PointOnCurve(M, C) = True;DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 0",
+      "coords": {}
+    },
+    {
+      "index": 7491,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7491.png",
+      "answer": "ApplyUnit(60,degree)",
+      "fact_expr": "G: Parabola;P: Point;Q: Point;F: Point;x1:Number;y1:Number;x2:Number;y2:Number;Expression(G) = (y^2 = 4*x);Coordinate(P) = (x1, y1);Coordinate(Q) = (x2, y2);Focus(G)=F;PointOnCurve(P,G);PointOnCurve(Q, G);x1 + x2 + 2 = 2*Abs(LineSegmentOf(P, Q))",
+      "coords": {}
+    },
+    {
+      "index": 7492,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7492.png",
+      "answer": "y=pm*(2/3)*sqrt(3)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/3 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7493,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7494,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7494.png",
+      "answer": "(4+sqrt(6))/2",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;M: Point;P: Point;F2: Point;F1: Point;a > b;b > 0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, LeftPart(C));LeftFocus(C) = F1;RightFocus(C) = F2;OneOf(Endpoint(ImageinaryAxis(C)))=M;Min(Abs(LineSegmentOf(M, P)) + Abs(LineSegmentOf(P, F2))) = Abs(LineSegmentOf(F1, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7495,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7495.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;F: Point;P: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Focus(G) = F;IsChordOf(LineSegmentOf(A, B), G);Intersection(PerpendicularBisector(LineSegmentOf(A, B)), xAxis) = P;Abs(LineSegmentOf(A, B)) = 10;PointOnCurve(F, LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 7496,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7496.png",
+      "answer": "8",
+      "fact_expr": "G: Ellipse;H: Line;F2: Point;A: Point;B: Point;F1: Point;Expression(G) = (x^2/25 + y^2/9 = 1);Focus(G) = {F1, F2};PointOnCurve(F1, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(F2, A)) + Abs(LineSegmentOf(F2, B)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 7497,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7498,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7498.png",
+      "answer": "[2*sqrt(2), 2*sqrt(6)]",
+      "fact_expr": "l: Line;C: Parabola;M: Point;A: Point;F: Point;B: Point;Expression(C) = (y^2 = 4*x);Coordinate(M) = (-2, 0);Focus(C) = F;PointOnCurve(F, l);Intersection(l, C) = {A, B};Quadrant(A) = 1;3/2 <= Area(TriangleOf(M, A, F))/Area(TriangleOf(M, B, F));Area(TriangleOf(M, A, F))/Area(TriangleOf(M, B, F)) <= 2",
+      "coords": {
+        "M": [
+          -2.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7499,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7499.png",
+      "answer": "1/2",
+      "fact_expr": "l: Line;G: Parabola;H: Point;A: Point;B: Point;Expression(G) = (y^2 = 4*x);Coordinate(H) = (0, 2);Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);PointOnCurve(H, l);x1:Number;x2:Number;y1:Number;y2:Number;Intersection(l,G)={A,B}",
+      "coords": {
+        "H": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7500,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7500.png",
+      "answer": "2",
+      "fact_expr": "P: Point;Coordinate(P) = (-1, -1);F: Point;Focus(C) = F;C: Parabola;Expression(C) = (y^2 = 2*(p*x));p: Number;p>0;l: Line;PointOnCurve(F,l) = True;Slope(l) = -2;A: Point;B: Point;Intersection(C,l) = {A,B};DotProduct(VectorOf(A, P), VectorOf(B, P)) = 0",
+      "coords": {
+        "P": [
+          -1.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 7501,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7502,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7502.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "C: Parabola;p: Number;F: Point;P: Point;Q: Point;M: Point;l: Line;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(P) = (0, 2);Focus(C) = F;Intersection(LineSegmentOf(P, F), C) = M;PointOnCurve(M, l);IsPerpendicular(Directrix(C), l);FootPoint(Directrix(C), l) = Q;AngleOf(P, Q, F) = ApplyUnit(90, degree)",
+      "coords": {
+        "P": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7503,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7503.png",
+      "answer": "2/3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;M: Point;F2: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, RightPart(C));Theta: Number;AngleOf(F1, M, F2) = Theta;DotProduct(VectorOf(M, F1), VectorOf(M, F2)) = 4*b^2",
+      "coords": {}
+    },
+    {
+      "index": 7504,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7504.png",
+      "answer": "y^2=pm*8*x",
+      "fact_expr": "l: Line;G: Parabola;a: Number;O: Origin;A: Point;F: Point;Expression(G) = (y^2 = a*x);Slope(l)=2;Focus(G)=F;PointOnCurve(F,l);Intersection(l,yAxis)=A;Area(TriangleOf(O,A,F))=4",
+      "coords": {}
+    },
+    {
+      "index": 7505,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7505.png",
+      "answer": "4*sqrt(5)/7",
+      "fact_expr": "H: Line;Expression(H) = (y = 2*x - 3);G: Hyperbola;Expression(G) = (x^2/2 - y^2 = 1);A: Point;B: Point;Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7506,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7507,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7508,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7508.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "M: Ellipse;a: Number;b: Number;A: Point;B: Point;F: Point;a > b;b > 0;Expression(M) = (y^2/b^2 + x^2/a^2 = 1);OneOf(Vertex(MajorAxis(M)))=A;OneOf(Vertex(MinorAxis(M)))=B;RightFocus(M) = F;IsPerpendicular(LineSegmentOf(A, B), LineSegmentOf(B, F))",
+      "coords": {}
+    },
+    {
+      "index": 7509,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7510,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7510.png",
+      "answer": "-10",
+      "fact_expr": "l: Line;G: Ellipse;O: Origin;A: Point;E: Point;M: Point;F: Point;N: Point;lambda1:Number;lambda2:Number;Expression(G) = (x^2/5 + y^2 = 1);Center(G)=O;RightFocus(G) = F;OneOf(Endpoint(MinorAxis(G)))=A;PointOnCurve(F, l);Intersection(l, G) = {M, N};Intersection(OverlappingLine(LineSegmentOf(O, A)),l) = E;VectorOf(E, M) = lambda1*VectorOf(M, F);VectorOf(E, N) = lambda2*VectorOf(N, F)",
+      "coords": {}
+    },
+    {
+      "index": 7511,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7512,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7512.png",
+      "answer": "2",
+      "fact_expr": "C:Ellipse;Expression(C)=(x^2/2+y^2=1)",
+      "coords": {}
+    },
+    {
+      "index": 7513,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7513.png",
+      "answer": "sqrt(5)-1",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/5 + y^2/4 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;M: Point;PointOnCurve(M,G);Negation(M=Endpoint(MajorAxis(G)));theta: Number;AngleOf(F1, M, F2) = 2*theta;I: Point;Incenter(TriangleOf(M, F1, F2)) = I",
+      "coords": {}
+    },
+    {
+      "index": 7514,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7514.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;H: Line;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y = x + 2);PointOnCurve(OneOf(Focus(G)),H);PointOnCurve(OneOf(Vertex(G)),H)",
+      "coords": {}
+    },
+    {
+      "index": 7515,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7515.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Line;PointOnCurve(F, G);A: Point;B: Point;Intersection(G, C) = {A, B};N: Point;MidPoint(LineSegmentOf(A, B)) = N;P: Point;Coordinate(P) = (12, 4);WhenMin(Abs(LineSegmentOf(N, A))+Abs(LineSegmentOf(N, P)))",
+      "coords": {
+        "P": [
+          12.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7516,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7516.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);P: Point;PointOnCurve(P, G);O: Origin;F: Point;LeftFocus(G) = F;M: Point;LineSegmentOf(O, M) = (1/2)*(LineSegmentOf(O, F) + LineSegmentOf(O, P))",
+      "coords": {}
+    },
+    {
+      "index": 7517,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7517.png",
+      "answer": "y=-1",
+      "fact_expr": "l: Line;G: Parabola;H: Circle;A: Point;Expression(G) = (x^2 = 4*y);Coordinate(A) = (0, 1);PointOnCurve(A, H);PointOnCurve(Center(H),G);IsTangent(l,H)",
+      "coords": {
+        "A": [
+          0.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7518,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7519,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7519.png",
+      "answer": "(-1, -\\sqrt{3}/2)",
+      "fact_expr": "G: Hyperbola;H: Line;k: Real;Expression(G) = (x^2/4 - y^2/3 = 1);Expression(H) = (y = k*x + 1);NumIntersection(H, RightPart(G)) = 2",
+      "coords": {}
+    },
+    {
+      "index": 7520,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.242640687119285,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 18.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7520.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/18 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 7521,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.4641016151377544,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 12.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7521.png",
+      "answer": "(-2,3)",
+      "fact_expr": "G: Ellipse;A: Point;M: Point;F: Point;Expression(G) = (x^2/16 + y^2/12 = 1);Coordinate(A) = (-2, sqrt(3));RightFocus(G) = F;PointOnCurve(M, G);WhenMin(Abs(LineSegmentOf(A,M))+Abs(LineSegmentOf(M,F)))",
+      "coords": {
+        "A": [
+          -2.0,
+          1.7320508075688772
+        ]
+      }
+    },
+    {
+      "index": 7522,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7522.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;H: Line;A: Point;P: Point;Expression(G) = (y^2 = 4*x);Expression(H) = (x = -1);Coordinate(A) = (0, -1);PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          0.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 7523,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 4.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7523.png",
+      "answer": "2*sqrt(41)-6",
+      "fact_expr": "A: Point;Coordinate(A) = (6, 0);P: Point;PointOnCurve(P, G);G: Parabola;Expression(G) = (y^2 = 16*x);B: Point;PointOnCurve(B, H);H: Curve;Expression(H) = (y^2 + (x - 4)^2 = 1)",
+      "coords": {
+        "A": [
+          6.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7524,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9550795555114746,
+        "b": 2.8647773265838623,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6550993677810766e-05,
+        "converged": true,
+        "iterations": 144
+      },
+      "output_path": "results/train/hyperbola/problem_7524.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(C) = sqrt(10)",
+      "coords": {}
+    },
+    {
+      "index": 7525,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7526,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7526.png",
+      "answer": "3",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F: Point;RightFocus(C) = F;G: Line;Expression(G) = (y = k*x);k: Number;Negation(k=0);Intersection(G, C) = {A, B};A: Point;B: Point;AngleOf(A, F, B) = ApplyUnit(90, degree);O: Origin;Area(TriangleOf(O, A, F)) = 4*a^2",
+      "coords": {}
+    },
+    {
+      "index": 7527,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.242640687119285,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 18.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7527.png",
+      "answer": "pi/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/18 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, G);Abs(LineSegmentOf(P, F1)) = 6",
+      "coords": {}
+    },
+    {
+      "index": 7528,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          -0.0,
+          4.0
+        ],
+        "radius": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_7528.png",
+      "answer": "(x-1)^2+(y-3)^2=2",
+      "fact_expr": "l: Line;C: Circle;B: Point;A: Point;P: Point;M: Point;O: Origin;Expression(C) = (-8*y + x^2 + y^2 = 0);Coordinate(P) = (2, 2);PointOnCurve(P,l);Intersection(l,C)={A,B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {}
+    },
+    {
+      "index": 7529,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7529.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Circle;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (x^2 + y^2 = 2*a^2);OneOf(Intersection(H,G))=P;LeftFocus(G) = F1;RightFocus(G) = F2;LineSegmentOf(P, F1) = 3*LineSegmentOf(P, F2)",
+      "coords": {}
+    },
+    {
+      "index": 7530,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7530.png",
+      "answer": "[3, +\\infty)",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;M: Point;PointOnCurve(M, C);N: Point;Coordinate(N) = (2, 2)",
+      "coords": {
+        "N": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7531,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7531.png",
+      "answer": "sqrt(10)",
+      "fact_expr": "P: Point;x0: Number;y0: Number;Coordinate(P) = (x0, y0);G: Parabola;Expression(G) = (y^2 = 4*x);PointOnCurve(P, G);H: Point;Coordinate(H) = (0, 3)",
+      "coords": {
+        "H": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7532,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7532.png",
+      "answer": "4*sqrt(13)/3",
+      "fact_expr": "l: Line;Expression(l) = (y = m + 2*sqrt(3)*x);m: Number;C: Hyperbola;Expression(C) = (x^2 - y^2/3 = 1);PointOnCurve(RightVertex(C),l) = True;L1: Line;L2: Line;Asymptote(C) = {L1, L2};Intersection(l, L1) = A;Intersection(l, L2) = B;A: Point;B: Point",
+      "coords": {}
+    },
+    {
+      "index": 7533,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7533.png",
+      "answer": "5/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/25 + y^2/16 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(F1, LineSegmentOf(A, B));Perimeter(InscribedCircle(TriangleOf(A, B, F2))) = pi;x1: Number;y1: Number;x2: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {}
+    },
+    {
+      "index": 7534,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7534.png",
+      "answer": "x^2/6+y^2/3=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;M: Point;Expression(G) = (x^2 - 2*y^2 = 2);Coordinate(M) = (-sqrt(6), 0);PointOnCurve(M, H);Focus(G)=Focus(H)",
+      "coords": {
+        "M": [
+          -2.449489742783178,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7535,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7535.png",
+      "answer": "[-6,6]",
+      "fact_expr": "H: Circle;Expression(H) = (x^2 + (-a + y)^2 = 9);G: Ellipse;Expression(G) = (x^2/25 + y^2/9 = 1);IsIntersect(H, G) = True;a: Real",
+      "coords": {}
+    },
+    {
+      "index": 7536,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7536.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;e: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P,F1),LineSegmentOf(P,F2));Area(TriangleOf(P, F1, F2)) = 2*a*b;Eccentricity(G) = e",
+      "coords": {}
+    },
+    {
+      "index": 7537,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7537.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;A: Point;F: Point;P: Point;l: Line;Expression(G) = (y^2 = 8*x);Focus(G) = F;Directrix(G)=l;PointOnCurve(P,G);IsPerpendicular(LineSegmentOf(P,A),l);FootPoint(LineSegmentOf(P,A),l)=A;Slope(LineOf(A,F)) = -sqrt(3)",
+      "coords": {}
+    },
+    {
+      "index": 7538,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 2.8284271247461903,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7538.png",
+      "answer": "49*pi",
+      "fact_expr": "G: Hyperbola;H: Circle;O: Origin;N: Point;F1: Point;P: Point;M: Point;F2: Point;Expression(G) = (x^2/16 - y^2/8 = 1);PointOnCurve(P, RightPart(G));LeftFocus(G) = F1;RightFocus(G) = F2;lambda: Number;mu: Number;lambda > 0;VectorOf(F1, P) = lambda*VectorOf(P, M);VectorOf(P, N) = mu*((VectorOf(P, F2)/Abs(VectorOf(P, F2))) + (VectorOf(P, M)/Abs(VectorOf(P, M))));DotProduct(VectorOf(P, N), VectorOf(F2, N)) = 0;VectorOf(P, F2) = 3;Center(H) = O;Radius(H) = LineSegmentOf(O, N)",
+      "coords": {}
+    },
+    {
+      "index": 7539,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7540,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7541,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7541.png",
+      "answer": "4/5",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;I: Point;Expression(G) = (x^2/16 - y^2/9 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, RightPart(G));Incenter(TriangleOf(P, F1, F2)) = I;Area(TriangleOf(I,P,F2))=Area(TriangleOf(I,P,F1))-lambda*Area(TriangleOf(I,F1,F2));lambda:Number",
+      "coords": {}
+    },
+    {
+      "index": 7542,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7542.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x)",
+      "coords": {}
+    },
+    {
+      "index": 7543,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7543.png",
+      "answer": "sqrt(3)*x + pm*y = 0",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-x^2/4 + y^2/12 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7544,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7545,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7545.png",
+      "answer": "sqrt(7)/4",
+      "fact_expr": "C: Ellipse;a: Number;M: Point;F: Point;O: Origin;N: Point;a>0;Expression(C) = (y^2/9 + x^2/a = 1);RightFocus(C) = F;PointOnCurve(M, C);MidPoint(LineSegmentOf(M,F)) = N;Abs(LineSegmentOf(M,F)) = 2*Abs(LineSegmentOf(O,N));2*Abs(LineSegmentOf(O,N)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7546,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7546.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;B: Point;F: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);OneOf(Focus(C))=F;OneOf(Endpoint(ImageinaryAxis(C)))=B;PointOnCurve(MidPoint(LineSegmentOf(F,B)),C)",
+      "coords": {}
+    },
+    {
+      "index": 7547,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7547.png",
+      "answer": "6/5",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;G: Line;A: Point;F: Point;B: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(C) = F;PointOnCurve(F, G);Slope(G)=sqrt(3);Intersection(G, C) = {A,B};VectorOf(A, F) = 4*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 7548,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.8284271247461903,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 8.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7548.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/8 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7549,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7549.png",
+      "answer": "3/2",
+      "fact_expr": "l: Line;G: Parabola;p: Number;F: Point;A: Point;B: Point;p>0;Expression(G) = (y^2 = 2*p*x);Coordinate(F) = (1, 0);Focus(G) = F;PointOnCurve(F,l);Intersection(l, G) = {A, B};Abs(LineSegmentOf(A, F)) = 3",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7550,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7550.png",
+      "answer": "(-sqrt(15)/3,-1)",
+      "fact_expr": "G: Hyperbola;H: Line;k: Real;Expression(G) = (x^2 - y^2 = 6);Expression(H) = (y = k*x + 2);NumIntersection(H,RightPart(G))=2",
+      "coords": {}
+    },
+    {
+      "index": 7551,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7551.png",
+      "answer": "4*sqrt(3)/3",
+      "fact_expr": "C: Ellipse;P: Point;B: Point;Expression(C) = (x^2/4 + y^2 = 1);UpperVertex(C)=B;PointOnCurve(P, C)",
+      "coords": {}
+    },
+    {
+      "index": 7552,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7552.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Circle;F: Point;L1:Line;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Expression(G) = (x^2 + y^2 = b^2);RightFocus(C) = F;TangentOfPoint(F,G)={L1,L2};IsPerpendicular(L1,L2);L2:Line",
+      "coords": {}
+    },
+    {
+      "index": 7553,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7553.png",
+      "answer": "8*sqrt(2)/3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/2 + y^2 = 1);F1: Point;LeftFocus(C) = F1;l: Line;Expression(l) = (y = x - 1);A: Point;B: Point;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7554,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7554.png",
+      "answer": "(\\sqrt{5}+1)/2",
+      "fact_expr": "C: Hyperbola;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;A: Point;RightVertex(C) = A;B1: Point;B2: Point;Endpoint(ImageinaryAxis(C)) = {B1, B2};F: Point;RightFocus(C) = F;IsPerpendicular(LineSegmentOf(B2, F), LineSegmentOf(A, B1))",
+      "coords": {}
+    },
+    {
+      "index": 7555,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7555.png",
+      "answer": "4*sqrt(2)",
+      "fact_expr": "G: Hyperbola;H: Line;P: Point;Q: Point;F:Point;Expression(G) = (x^2 - y^2 = 2);RightFocus(G)=F;PointOnCurve(F,H);Inclination(H)=ApplyUnit(30,degree);Intersection(H,G)={P,Q}",
+      "coords": {}
+    },
+    {
+      "index": 7556,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7556.png",
+      "answer": "143/12",
+      "fact_expr": "G: Hyperbola;H: Point;Expression(G) = (x^2/4 - y^2 = 1);Coordinate(H) = (x1, y1);PointOnCurve(H, G);x1:Number;y1:Number",
+      "coords": {}
+    },
+    {
+      "index": 7557,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7558,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7558.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);Focus(C)={F1,F2};PointOnCurve(P, C);IsPerpendicular(VectorOf(P,F1),VectorOf(P,F2));Area(TriangleOf(P,F1,F2))=9",
+      "coords": {}
+    },
+    {
+      "index": 7559,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 8.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7559.png",
+      "answer": "1",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/8 + y^2/2 = 1);M: Circle;Expression(M) = (-r^2 + 2*(sqrt(2)*x) + x^2 + y^2 + 2 = 0);r: Number;0 < r;r < sqrt(2);P: Point;UpperVertex(C) = P;Z1: Line;Z2: Line;TangentOfPoint(P, M) = {Z1, Z2};A: Point;Intersection(Z1, C) = A;B: Point;Intersection(Z2, C) = B;Negation(P=A);Negation(P=B)",
+      "coords": {}
+    },
+    {
+      "index": 7560,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7560.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;M: Point;Expression(G) = (y^2 = 4*x);PointOnCurve(M, G);Distance(M, yAxis) = 9",
+      "coords": {}
+    },
+    {
+      "index": 7561,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7561.png",
+      "answer": "sqrt(3)-1",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G);AngleOf(P, F1, F2) = pi/6;AngleOf(P,F2,F1)=pi/3;Eccentricity(G)=e;e:Number",
+      "coords": {}
+    },
+    {
+      "index": 7562,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7562.png",
+      "answer": "x^2/15+y^2/10=1",
+      "fact_expr": "M: Point;Coordinate(M) = (-3, 2);Z: Curve;Expression(Z) = (x^2/9 + y^2/4 = 1);G: Ellipse;PointOnCurve(M, G);Focus(Z) = Focus(G)",
+      "coords": {
+        "M": [
+          -3.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 7563,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7563.png",
+      "answer": "8",
+      "fact_expr": "M: Point;Coordinate(M) = (sqrt(3), 0);G: Ellipse;Expression(G) = (x^2/4 + y^2 = 1);H: Line;Expression(H) = (y = k*(x + sqrt(3)));Intersection(G, H) = {A, B};A: Point;B: Point;k:Number",
+      "coords": {
+        "M": [
+          1.7320508075688772,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7564,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7564.png",
+      "answer": "(\\sqrt{5}-1)/2",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;A: Point;LeftVertex(C) = A;B: Point;UpperVertex(C) = B;F: Point;RightFocus(C) = F;AngleOf(A, B, F) = ApplyUnit(90, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7565,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 4.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7565.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/8 - y^2/16 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7566,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7566.png",
+      "answer": "12",
+      "fact_expr": "N: Parabola;Expression(N) = (y^2 = 2*p*x);p: Number;p>0;G: Line;Expression(G) = (x = m);m: Number;m>0;Intersection(G, N) = {A, B};A: Point;B: Point;O: Origin;IsPerpendicular(LineSegmentOf(O, A), LineSegmentOf(O, B)) = True;Coordinate(Focus(N))=(3,0)",
+      "coords": {}
+    },
+    {
+      "index": 7567,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7568,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7568.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "C1:Parabola;C2:Hyperbola;a: Number;a>0;Expression(C2) = (x^2/3 - y^2 = 1);Expression(C1) = (y = x^2/(4*a));Intersection(LineSegmentOf(Focus(C1),RightFocus(C2)),C1)=M;Quadrant(M)=1;IsParallel(TangentOnPoint(M,C1),OneOf(Asymptote(C2)));M:Point",
+      "coords": {}
+    },
+    {
+      "index": 7569,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7569.png",
+      "answer": "(3*sqrt(2))/7",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;A: Point;B: Point;PointOnCurve(F2,l);Inclination(l) = pi/4;Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7570,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7570.png",
+      "answer": "(4,-4*sqrt(3))",
+      "fact_expr": "G: Parabola;M: Point;F: Point;Expression(G) = (y^2 = 12*x);Focus(G) = F;PointOnCurve(M,G);Quadrant(M)=4;Abs(LineSegmentOf(M, F)) = 7",
+      "coords": {}
+    },
+    {
+      "index": 7571,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7571.png",
+      "answer": "11",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/4 - y^2/3 = 1);F1: Point;F2: Point;LeftFocus(C) = F1;RightFocus(C) = F2;l: Line;PointOnCurve(F1, l);A: Point;B: Point;Intersection(l, LeftPart(C)) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7572,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7573,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7574,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7574.png",
+      "answer": "sqrt(14)/2",
+      "fact_expr": "C: Parabola;Expression(C) = (y^2 = 2*x);F: Point;Focus(C) = F;l: Line;PointOnCurve(F, l);Intersection(l, C) = {A, B};B: Point;A: Point;Abs(LineSegmentOf(A, F)) = 2*Abs(LineSegmentOf(B, F));IsDiameter(LineSegmentOf(A, B), G) = True;G: Circle",
+      "coords": {}
+    },
+    {
+      "index": 7575,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7575.png",
+      "answer": "1/5",
+      "fact_expr": "Gamma:Ellipse;A: Point;F: Point;B: Point;C: Point;D: Point;Expression(Gamma) = (x^2/a^2+y^2/b^2=1);LeftVertex(Gamma)=C;LeftFocus(Gamma)=F;LowerVertex(Gamma)=A;UpperVertex(Gamma)=B;Intersection(LineSegmentOf(A,F),LineSegmentOf(B,C))=D;VectorOf(C, D) = 2*VectorOf(D, B)",
+      "coords": {}
+    },
+    {
+      "index": 7576,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7576.png",
+      "answer": "4+2*sqrt(3)",
+      "fact_expr": "G: Ellipse;P: Point;F1: Point;O: Origin;Expression(G) = (x^2/4 + y^2 = 1);LeftFocus(G) = F1;PointOnCurve(P, G)",
+      "coords": {}
+    },
+    {
+      "index": 7577,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7577.png",
+      "answer": "(\\sqrt{3} - 1)/2",
+      "fact_expr": "E: Ellipse;b: Number;a: Number;G: Circle;F1: Point;F2: Point;P: Point;Q: Point;c: Number;a > b;b > 0;Expression(E) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);LeftFocus(E) = F1;RightFocus(E) = F2;IsDiameter(LineSegmentOf(F1, F2), G);Intersection(G, E) = {P, Q};Quadrant(P) = 1;Quadrant(Q) = 3;Area(TriangleOf(P, Q, F2)) = c^2*(sqrt(3)/2)",
+      "coords": {}
+    },
+    {
+      "index": 7578,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7578.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Ellipse;H: Line;A: Point;B: Point;Expression(G) = (x^2/2 + y^2 = 1);Expression(H) = (y = x + 1);Intersection(H, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7579,
+      "success": true,
+      "conic_type": "circle",
+      "error": null,
+      "params": {
+        "center": [
+          0.0,
+          0.0
+        ],
+        "radius": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/circle/problem_7579.png",
+      "answer": "4*x^2+y^2=1",
+      "fact_expr": "G: Circle;H: LineSegment;Expression(G) = (x^2 + y^2 = 1);PointOnCurve(P,G);IsPerpendicular(H,yAxis);M:Point;MidPoint(H)=M;P:Point",
+      "coords": {}
+    },
+    {
+      "index": 7580,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.4142135623730951,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 2.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7580.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7581,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7581.png",
+      "answer": "(2*sqrt(2),3*sqrt(2))",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;e: Number;Eccentricity(C) = e;In(e, (sqrt(5), sqrt(10)))",
+      "coords": {}
+    },
+    {
+      "index": 7582,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7583,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7583.png",
+      "answer": "12/5",
+      "fact_expr": "C: Parabola;p: Number;F: Point;l: Line;P: Point;p>0;Expression(C) = (y^2 = 2*p*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);L1: Line;L2: Line;TangentOfPoint(P, C) = {L1, L2};A: Point;B: Point;TangentPoint(L1, C) = A;TangentPoint(L2, C) = B;Abs(LineSegmentOf(P, A)) = 3;Abs(LineSegmentOf(P, B)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7584,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7584.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H) = True;Intersection(H, G) = {A, B};A: Point;B: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;Coordinate(B) = (x2, y2);x2: Number;y2: Number;x1 + x2 = 6",
+      "coords": {}
+    },
+    {
+      "index": 7585,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7585.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);PointOnCurve(P, G);Focus(G) = {F1,F2};AngleOf(P,F1,F2)=ApplyUnit(75,degree);AngleOf(P, F2, F1) = ApplyUnit(15, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7586,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7587,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7587.png",
+      "answer": "y^2/3 - x^2/3 = 1",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = 1);Z: Hyperbola;Asymptote(G) = Asymptote(Z);H: Point;Coordinate(H) = (1, 2);PointOnCurve(H, Z)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7588,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7588.png",
+      "answer": "12",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;PointOnCurve(Focus(G), H);A: Point;B: Point;x1: Number;x2: Number;y1: Number;y2: Number;Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2);Intersection(H, G) = {A, B};x1 + x2 = 10",
+      "coords": {}
+    },
+    {
+      "index": 7589,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7590,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7591,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7591.png",
+      "answer": "(\\sqrt{15}/2, 1),(\\sqrt{15}/2, -1),(-\\sqrt{15}/2, 1),(-\\sqrt{15}/2, -1)",
+      "fact_expr": "G: Ellipse;P: Point;F1:Point;F2:Point;Expression(G) = (x^2/5 + y^2/4 = 1);PointOnCurve(P,G);Focus(G)={F1,F2};Area(TriangleOf(P,F1,F2))=1",
+      "coords": {}
+    },
+    {
+      "index": 7592,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7592.png",
+      "answer": "[\\sqrt{2}/2,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;O: Circle;A: Point;P: Point;B: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Expression(O) = (x^2 + y^2 = b^2);L1:Line;L2:Line;TangentOfPoint(P,O)={L1,L2};TangentPoint(L1,O)=A;TangentPoint(L2,O)=B;AngleOf(A, P, B) = ApplyUnit(90, degree);PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 7593,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 2.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7593.png",
+      "answer": "2*x + pm*sqrt(5)*y = 0",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/5 - y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7594,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7594.png",
+      "answer": "9/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = -4*x);F: Point;Focus(G) = F;l: Line;PointOnCurve(F, l);A: Point;B: Point;Intersection(l, G) = {A, B};C: Point;Intersection(l, Directrix(G)) = C;VectorOf(F, C) = 4*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 7595,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7596,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7597,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 3.4641016151377544,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7597.png",
+      "answer": "x^2/16+y^2/12=1",
+      "fact_expr": "G: Hyperbola;H: Ellipse;Expression(G) = (x^2/4 - y^2/12 = 1);Focus(G) = Vertex(H);Vertex(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7598,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7599,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7600,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7600.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*(p*x));p: Number;p>0;F: Point;Focus(G) = F;A: Point;B: Point;PointOnCurve(A, G) = True;PointOnCurve(B, G) = True;IsDiameter(LineSegmentOf(A, B), H) = True;H: Circle;PointOnCurve(F, H) = True;MidPoint(LineSegmentOf(A, B)) = M;M: Point;PointOnCurve(M, LineOf(M, N)) = True;IsPerpendicular(LineOf(M, N), Directrix(G)) = True;FootPoint(LineOf(M, N), Directrix(G)) = N;N: Point",
+      "coords": {}
+    },
+    {
+      "index": 7601,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7601.png",
+      "answer": "5",
+      "fact_expr": "G: Parabola;C: Circle;M: Point;A: Point;F: Point;Expression(G) = (y^2 = 8*x);Expression(C) = (-2*y - 8*x + x^2 + y^2 + 16 = 0);PointOnCurve(M, G);Focus(G) = F;PointOnCurve(A, C)",
+      "coords": {}
+    },
+    {
+      "index": 7602,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.23606797749979,
+        "major_axis": "y",
+        "x_coef": 5.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7602.png",
+      "answer": "12",
+      "fact_expr": "l: Line;C: Ellipse;A: Point;F1: Point;B: Point;F2: Point;Expression(C) = (x^2/5 + y^2/9 = 1);Focus(C) = {F1,F2};PointOnCurve(F2, l);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7603,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7603.png",
+      "answer": "8",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;l:Number;Expression(G) = (y^2 = 4*x);Slope(H)=l;Intersection(H,G)={A,B};PointOnCurve(Focus(G),H)",
+      "coords": {}
+    },
+    {
+      "index": 7604,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7604.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;G: Line;P: Point;A: Point;F: Point;B: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);RightFocus(E) = F;PointOnCurve(F, G);Intersection(G, E) = {A, B};Intersection(G, yAxis) = P;VectorOf(P, A) = 3*VectorOf(A, F);VectorOf(P, B) = (-7/3)*VectorOf(B, F)",
+      "coords": {}
+    },
+    {
+      "index": 7605,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7605.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;A: Point;F1: Point;B: Point;F2: Point;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(F1, G);Intersection(G, C) = {A, B};Abs(LineSegmentOf(A, F1)) = 2*Abs(LineSegmentOf(B, F1));Abs(LineSegmentOf(A, B)) = Abs(LineSegmentOf(B, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7606,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7607,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7607.png",
+      "answer": "11",
+      "fact_expr": "G: Hyperbola;m: Real;Expression(G) = (-y^2/5 + x^2/m = 1);FocalLength(G) = 8",
+      "coords": {}
+    },
+    {
+      "index": 7608,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7609,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "y",
+        "x_coef": 9.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7609.png",
+      "answer": "11",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/9 + y^2/16 = 1);H: Line;A: Point;B: Point;F1: Point;F2: Point;Focus(G) = {F1, F2};PointOnCurve(F2, H);Intersection(H, G) = {A, B};Abs(LineSegmentOf(A, B)) = 5",
+      "coords": {}
+    },
+    {
+      "index": 7610,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "left"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7610.png",
+      "answer": "4*x+y+3=0",
+      "fact_expr": "M: Point;Coordinate(M) = (-1, 1);G: Parabola;Expression(G) = (y^2 = -8*x);A: Point;B: Point;IsChordOf(LineSegmentOf(A, B), G);MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          -1.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7611,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7611.png",
+      "answer": "[1/3,1)",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;P: Point;F1: Point;F2: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Abs(LineSegmentOf(P, F1)) = 2*Abs(LineSegmentOf(P, F2));LeftFocus(G) =F1;RightFocus(G)=F2;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 7612,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 3.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7612.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/3 + y^2 = 1);A: Point;B: Point;C: Point;PointOnCurve(B, G);PointOnCurve(C, G);K: Point;OneOf(Focus(G)) = A;OneOf(Focus(G)) = K;Negation(A=K);PointOnCurve(K, LineSegmentOf(B, C))",
+      "coords": {}
+    },
+    {
+      "index": 7613,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7614,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.6277244091033936,
+        "b": 1.818325400352478,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.648646149187698e-07,
+        "converged": true,
+        "iterations": 99
+      },
+      "output_path": "results/train/hyperbola/problem_7614.png",
+      "answer": "sqrt(5)",
+      "fact_expr": "G: Hyperbola;b: Number;b>0;Expression(G) = (x^2/4 - y^2/b^2 = 1);Eccentricity(G) = 3/2",
+      "coords": {}
+    },
+    {
+      "index": 7615,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7616,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7616.png",
+      "answer": "6",
+      "fact_expr": "G: Parabola;A: Point;B: Point;M: Point;Expression(G) = (y^2 = 8*x);IsChordOf(LineSegmentOf(A,B),G);Length(LineSegmentOf(A, B)) = 16;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {}
+    },
+    {
+      "index": 7617,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7617.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;F1: Point;A: Point;B: Point;F2: Point;Expression(G) = (x^2/4 - y^2/3 = 1);Focus(G) = {F1, F2};L:Line;PointOnCurve(F2, L);IsPerpendicular(L,xAxis);Intersection(L, G) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7618,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7618.png",
+      "answer": "-1/3",
+      "fact_expr": "F: Point;C: Parabola;Expression(C) = (y^2 = 4*x);Focus(C) = F;PointOnCurve(F, G) = True;Slope(G) = sqrt(3);G: Line;Intersection(G, C) = {A, B};A: Point;B: Point;Abs(VectorOf(F, A)) < Abs(VectorOf(F, B));VectorOf(F, A) = lambda*VectorOf(F, B);lambda: Number",
+      "coords": {}
+    },
+    {
+      "index": 7619,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7620,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7620.png",
+      "answer": "-1",
+      "fact_expr": "G: Parabola;H: Line;c: Number;Expression(G) = (x^2 = y);Expression(H) = (-c*y + 2*x + 1 = 0);IsTangent(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 7621,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7622,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7623,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7623.png",
+      "answer": "[\\sqrt{3}/3, 1)",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;c: Number;Expression(H) = (x = a^2/c);P: Point;PointOnCurve(P, H);PointOnCurve(F2, PerpendicularBisector(LineSegmentOf(P, F1)))",
+      "coords": {}
+    },
+    {
+      "index": 7624,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7624.png",
+      "answer": "2/3",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;A: Point;F1: Point;F2: Point;M: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(A, G);Center(InscribedCircle(TriangleOf(A,F1,F2)))=M;VectorOf(M, F1) + 2*VectorOf(M, F2) + 2*VectorOf(M, A) = 0",
+      "coords": {}
+    },
+    {
+      "index": 7625,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7625.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;f: LineSegment;Expression(G) = (y^2 = 4*x);PointOnCurve(Focus(G), f);IsChordOf(f, G);XCoordinate(MidPoint(f)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7626,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7626.png",
+      "answer": "(0,1/4)",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y)",
+      "coords": {}
+    },
+    {
+      "index": 7627,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7627.png",
+      "answer": "8",
+      "fact_expr": "G: Hyperbola;H: Line;F: Point;P: Point;Expression(G) = (x^2/16 - y^2/9 = 1);Expression(H) = (x = 16/5);Coordinate(F)=(5,0);PointOnCurve(P, G);Distance(P,F) = 10",
+      "coords": {
+        "F": [
+          5.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7628,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7629,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.6259966743174588,
+        "b": 2.298015331604694,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.93011531933813e-06,
+        "converged": true,
+        "iterations": 91
+      },
+      "output_path": "results/train/hyperbola/problem_7629.png",
+      "answer": "y^2/2 - x^2 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (1, 2);Expression(Asymptote(G)) = (y = pm*(sqrt(2)*x));PointOnCurve(H, G)",
+      "coords": {
+        "H": [
+          1.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 7630,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7630.png",
+      "answer": "9",
+      "fact_expr": "C: Parabola;P: Point;F: Point;A: Point;B: Point;l: Line;Expression(C) = (y^2 = 8*x);Focus(C) = F;Directrix(C) = l;PointOnCurve(P, l);Intersection(LineOf(P,F), C) = {A, B};VectorOf(P, A) = 3*VectorOf(A, F)",
+      "coords": {}
+    },
+    {
+      "index": 7631,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7631.png",
+      "answer": "2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2 + x^2/a^2 = 1);a: Number;a>0;PointOnCurve(Focus(G), xAxis) = True;Length(MajorAxis(G)) = 2*Length(MinorAxis(G))",
+      "coords": {}
+    },
+    {
+      "index": 7632,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7632.png",
+      "answer": "{-1/2, 0, 1}",
+      "fact_expr": "l: Line;G: Parabola;P: Point;Expression(G) = (y^2 = 4*x);Coordinate(P) = (-2, -1);PointOnCurve(P,l);NumIntersection(l,G)=1",
+      "coords": {
+        "P": [
+          -2.0,
+          -1.0
+        ]
+      }
+    },
+    {
+      "index": 7633,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7634,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7635,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7636,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7636.png",
+      "answer": "(1, \\sqrt{2}+1]",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;c: Number;LeftFocus(G) = F1;Coordinate(F1) = (-c, 0);H: Line;Expression(H) = (y = k*x);k: Number;A: Point;B: Point;Intersection(H, G) = {A, B};Abs(VectorOf(A, F1)) = (c/a)*Abs(VectorOf(B, F1))",
+      "coords": {}
+    },
+    {
+      "index": 7637,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7638,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7638.png",
+      "answer": "7",
+      "fact_expr": "F1: Point;LeftFocus(C) = F1;C: Hyperbola;Expression(C) = (x^2/4 - y^2 = 1);l: Line;O: Origin;PointOnCurve(O, l);P: Point;Q: Point;Intersection(l, C) = {P, Q};Abs(LineSegmentOf(P, F1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7639,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7639.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "l: Line;G: Parabola;l1:Line;B: Point;A: Point;Q: Point;C: Point;P: Point;O: Origin;Expression(G) = (y^2 = 4*x);Coordinate(A) = (1, 2);PointOnCurve(A,l);Intersection(l,G)={A,B};MidPoint(LineSegmentOf(A,B))=Q;PointOnCurve(Q,l1);IsPerpendicular(l1,yAxis);Intersection(l1,G)=C;VectorOf(Q, C) = VectorOf(C, P)",
+      "coords": {
+        "A": [
+          1.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7640,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7640.png",
+      "answer": "x^2/2 + y^2 = 1",
+      "fact_expr": "C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;OneOf(Focus(C)) = Focus(G);G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;M: Point;Coordinate(M) = (-1/2, 1/2);PointOnCurve(M, H) ;Slope(H) = 1/2;Intersection(H, C) = {A, B};B: Point;A: Point;MidPoint(LineSegmentOf(A, B)) = M",
+      "coords": {
+        "M": [
+          -0.5,
+          0.5
+        ]
+      }
+    },
+    {
+      "index": 7641,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 2.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7641.png",
+      "answer": "[2,2*sqrt(2))\n0",
+      "fact_expr": "C: Ellipse;G: Line;y0: Number;x0: Number;P: Point;F1: Point;F2: Point;Expression(C)=(x^2/2 + y^2 = 1);Expression(G)=((x0*x)/2+y0*y=1);Focus(C)={F1,F2};Coordinate(P)=(x0,y0);0<x0^2/2+y0^2;x0^2/2+y0^2<1",
+      "coords": {}
+    },
+    {
+      "index": 7642,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.708203932499369,
+        "b": 4.47213595499958,
+        "major_axis": "x",
+        "x_coef": 45.0,
+        "y_coef": 20.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7642.png",
+      "answer": "40",
+      "fact_expr": "G: Ellipse;F1: Point;P: Point;F2: Point;Expression(G) = (x^2/45 + y^2/20 = 1);AngleOf(F1, P, F2) = ApplyUnit(90, degree);Focus(G)={F1,F2};PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 7643,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 1.8896586416492034,
+        "b": 1.632446027574202,
+        "major_axis": "x",
+        "x_coef": 3.999999999999999,
+        "y_coef": 2.9999999999999996
+      },
+      "optimization": {
+        "final_loss": 7.968053537730885e-06,
+        "converged": true,
+        "iterations": 103
+      },
+      "output_path": "results/train/ellipse/problem_7643.png",
+      "answer": "x^2/4 + y^2/3 = 1",
+      "fact_expr": "C: Ellipse;M: Point;N: Point;Coordinate(M) = (1, 3/2);Coordinate(N) = (sqrt(3), sqrt(3)/2);PointOnCurve(M,C);PointOnCurve(N,C)",
+      "coords": {
+        "M": [
+          1.0,
+          1.5
+        ],
+        "N": [
+          1.7320508075688772,
+          0.8660254037844386
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 7644,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7644.png",
+      "answer": "-4",
+      "fact_expr": "G: Parabola;p: Number;A: Point;B: Point;x1:Number;x2:Number;y1:Number;y2:Number;p>0;Expression(G) = (y^2 = 2*(p*x));IsChordOf(LineSegmentOf(A, B), G);PointOnCurve(Focus(G), LineSegmentOf(A, B));Endpoint(LineSegmentOf(A, B))={A,B};Coordinate(A) = (x1, y1);Coordinate(B) = (x2, y2)",
+      "coords": {}
+    },
+    {
+      "index": 7645,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7646,
+      "success": false,
+      "conic_type": "ellipse",
+      "error": "validation: ellipse_point_off_curve",
+      "params": {
+        "a": 2.8503371627061314,
+        "b": 1.8676572177554456,
+        "major_axis": "x",
+        "x_coef": 9.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 5.51866980271156e-07,
+        "converged": true,
+        "iterations": 103
+      },
+      "output_path": "results/train/ellipse/problem_7646.png",
+      "answer": "x^2/9+y^2/4=1",
+      "fact_expr": "G: Ellipse;P: Point;Q: Point;Coordinate(P) = (-3,0);Coordinate(Q) = (0,-2);PointOnCurve(P,G);PointOnCurve(Q,G)",
+      "coords": {
+        "P": [
+          -3.0,
+          0.0
+        ],
+        "Q": [
+          0.0,
+          -2.0
+        ]
+      },
+      "validation_reasons": [
+        "ellipse_point_off_curve"
+      ]
+    },
+    {
+      "index": 7647,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7647.png",
+      "answer": "1/3",
+      "fact_expr": "G: Ellipse;a: Number;b: Number;F1: Point;P: Point;F2: Point;c:Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(F1) = (-c, 0);Coordinate(F2) = (c, 0);Focus(G) = {F1,F2} ;PointOnCurve(P, G);Area(TriangleOf(P, F1, F2)) = b^2*(sqrt(2)/2)",
+      "coords": {}
+    },
+    {
+      "index": 7648,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7648.png",
+      "answer": "(1/2, 1)",
+      "fact_expr": "G: Parabola;H: Line;P: Point;Expression(G) = (y^2 = 2*x);Expression(H) = (x - y + 3 = 0);PointOnCurve(P, G);WhenMin(Distance(P, H))",
+      "coords": {}
+    },
+    {
+      "index": 7649,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7649.png",
+      "answer": "y=pm*sqrt(2)*x",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;H: Line;PointOnCurve(F2, H);IsPerpendicular(H, xAxis) ;OneOf(Intersection(H, G)) = P;P: Point;AngleOf(P, F1, F2) = pi/6",
+      "coords": {}
+    },
+    {
+      "index": 7650,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7651,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7651.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;p: Number;F: Point;A: Point;M: Point;l: Line;B: Point;p>0;Expression(G) = (y^2 = 2*(p*x));Coordinate(A) = (0, 2);Focus(G) = F;Directrix(G) = l;Intersection(LineSegmentOf(F,A), G) = B;L:Line;PointOnCurve(B, L);IsPerpendicular(l,L);FootPoint(l,L) = M;IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(M, F))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7652,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7652.png",
+      "answer": "1",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7653,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7653.png",
+      "answer": "2",
+      "fact_expr": "E: Hyperbola;b: Number;a: Number;B: Point;A: Point;F: Point;a>0;b>0;Expression(E) = (-y^2/b^2 + x^2/a^2 = 1);LeftVertex(E) = A;OneOf(Endpoint(ImageinaryAxis(E)))=B;RightFocus(E)=F;Distance(F, LineOf(A,B)) = (3*b)/2",
+      "coords": {}
+    },
+    {
+      "index": 7654,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.9550795555114746,
+        "b": 2.8647773265838623,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 1.6550993677810766e-05,
+        "converged": true,
+        "iterations": 144
+      },
+      "output_path": "results/train/hyperbola/problem_7654.png",
+      "answer": "pm*sqrt(6)/2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Eccentricity(G) = sqrt(10)/2",
+      "coords": {}
+    },
+    {
+      "index": 7655,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7655.png",
+      "answer": "8/3",
+      "fact_expr": "G: Parabola;A: Point;B: Point;F: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(A, G);PointOnCurve(B, G);VectorOf(A, F) = 3*VectorOf(F, B);IsChordOf(LineSegmentOf(A, B), G)",
+      "coords": {}
+    },
+    {
+      "index": 7656,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7656.png",
+      "answer": "15",
+      "fact_expr": "G: Ellipse;P: Point;M: Point;F1: Point;F2: Point;Expression(G) = (x^2/25 + y^2/16 = 1);Coordinate(M) = (6, 4);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(P, G)",
+      "coords": {
+        "M": [
+          6.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7657,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7658,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7658.png",
+      "answer": "(1/2, 2/3)",
+      "fact_expr": "C: Ellipse;b: Number;a: Number;G: Line;B: Point;F: Point;e: Number;k: Number;a > b;b > 0;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);LeftVertex(C) = A;A: Point;PointOnCurve(A, G);Slope(G) = k;Intersection(C, G) = {A, B};Projection(B, xAxis) = F;RightFocus(C) = F;k = 1/2;Eccentricity(C) = e",
+      "coords": {}
+    },
+    {
+      "index": 7659,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7660,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7660.png",
+      "answer": "9",
+      "fact_expr": "G:Parabola;p:Number;p<0;Expression(G) = (y^2 = 2*(p*x));F:Point;Focus(G)=F;l:Line;Directrix(G)=l;H:Point;Coordinate(H)=(-p/2,0);Z:Line;PointOnCurve(H,Z);C:Circle;Center(C)=F;O:Origin;PointOnCurve(O,C);N:Point;TangentPoint(Z,C)=N;M:Point;A:Point;B:Point;Intersection(LineOf(F,N),l)=M;Intersection(LineOf(F,N),G)={A,B};Between(A,M,N)",
+      "coords": {}
+    },
+    {
+      "index": 7661,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7661.png",
+      "answer": "Preserve all mathematical expressions exactly (including LaTeX format, symbols, and numbers).  \nDo not add explanations.",
+      "fact_expr": "G: Hyperbola;P: Point;Coordinate(P) = (2, 1);PointOnCurve(P, G);H: Ellipse;Expression(H) = (x^2/4 + y^2 = 1);Focus(G) = Focus(H)",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7662,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7663,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7664,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7664.png",
+      "answer": "{2,8}",
+      "fact_expr": "C: Parabola;p: Number;A: Point;M: Point;F: Point;p>0;Expression(C) = (y^2 = 2*(p*x));Coordinate(A) = (0, 2);Focus(C) = F;PointOnCurve(M, C);Abs(LineSegmentOf(M, F)) = 5;PointOnCurve(A, yAxis);IsPerpendicular(LineSegmentOf(A, M), LineSegmentOf(A, F))",
+      "coords": {
+        "A": [
+          0.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7665,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 0.929953396320343,
+        "b": 2.629857301712036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.594453912432073e-06,
+        "converged": true,
+        "iterations": 175
+      },
+      "output_path": "results/train/hyperbola/problem_7665.png",
+      "answer": "1/16",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/4 - y^2/b^2 = 1);b: Number;b>0;F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Eccentricity(G) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7666,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7667,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7667.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C1: Hyperbola;Expression(C1) = (x^2/a^2 - y^2/b^2 = 1);a: Number;b: Number;a>0;b>0;F1: Point;F2: Point;LeftFocus(C1) = F1;RightFocus(C1) = F2;O: Origin;C2: Parabola;Vertex(C2) = O;Directrix(C2) = LeftDirectrix(C1);P: Point;Intersection(C1, C2) = P;IsPerpendicular(LineSegmentOf(P,F2), LineSegmentOf(F1, F2)) = True",
+      "coords": {}
+    },
+    {
+      "index": 7668,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7668.png",
+      "answer": "1/4",
+      "fact_expr": "G: Ellipse;b: Number;a: Number;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);P: Point;F1: Point;F2: Point;OneOf(Endpoint(MinorAxis(G))) = P;Focus(G) = {F1, F2};Radius(InscribedCircle(TriangleOf(P, F1, F2))) = b/5",
+      "coords": {}
+    },
+    {
+      "index": 7669,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7670,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7670.png",
+      "answer": "sqrt(7)/3",
+      "fact_expr": "C: Parabola;M: Circle;G: Line;B: Point;A: Point;P0: Point;M0: Point;Expression(C) = (y^2 = 4*x);Expression(M) = (y^2 + (x + 1)^2 = 7/9);Center(M) = M0;PointOnCurve(M0, G);Intersection(G, C) = {A, B};VectorOf(M, B) = 3*VectorOf(M, A);PointOnCurve(P0, M)",
+      "coords": {}
+    },
+    {
+      "index": 7671,
+      "success": false,
+      "conic_type": "hyperbola",
+      "error": "validation: hyperbola_point_off_curve",
+      "params": {
+        "a": 1.9960020780563354,
+        "b": 1.4970015287399292,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "iterations": 2
+      },
+      "output_path": "results/train/hyperbola/problem_7671.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "G: Hyperbola;m: Number;M: Point;e:Number;Expression(G) = (y^2/2 - x^2/m = 1);Coordinate(M) = (2, 2);PointOnCurve(M, G);Eccentricity(G)=e",
+      "coords": {
+        "M": [
+          2.0,
+          2.0
+        ]
+      },
+      "validation_reasons": [
+        "hyperbola_point_off_curve"
+      ]
+    },
+    {
+      "index": 7672,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7672.png",
+      "answer": "sqrt(7)/7",
+      "fact_expr": "l: Line;C: Parabola;G: Point;A: Point;B: Point;Expression(C) = (x^2 = 12*y);Coordinate(G) = (0, 3);PointOnCurve(G,l);Intersection(l, C) = {A, B};Abs(LineSegmentOf(A, B)) = 14;Inclination(l)=alpha;alpha:Number",
+      "coords": {
+        "G": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7673,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7674,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7675,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7675.png",
+      "answer": "3",
+      "fact_expr": "G: Ellipse;H: Line;m: Number;F: Point;A: Point;B: Point;Expression(G) = (x^2/4 + y^2/3 = 1);Expression(H) = (x = m);LeftFocus(G) = F;Intersection(H, G) = {A, B};WhenMax(Perimeter(TriangleOf(F,A,B)))",
+      "coords": {}
+    },
+    {
+      "index": 7676,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7676.png",
+      "answer": "sqrt(3)/3",
+      "fact_expr": "A: Point;B: Point;G: Ellipse;b: Number;a: Number;C: Point;a > b;b > 0;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);Coordinate(A) = (0, b);Intersection(LeftDirectrix(G), xAxis) = B;MidPoint(LineSegmentOf(A, B))=C;PointOnCurve(C, G)",
+      "coords": {}
+    },
+    {
+      "index": 7677,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 3.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7677.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 12*x);F: Point;Focus(G) = F;P: Point;Coordinate(P) = (2, 1);l: Line;PointOnCurve(P, l);A: Point;B: Point;Intersection(l, G) = {A, B};MidPoint(LineSegmentOf(A, B)) = P",
+      "coords": {
+        "P": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7678,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7678.png",
+      "answer": "[1, 5) + (5, +oo)",
+      "fact_expr": "H: Line;Expression(H) = (-k*x + y - 1 = 0);k: Real;G: Ellipse;Expression(G) = (x^2/5 + y^2/m = 1);m: Number;IsIntersect(H, G)",
+      "coords": {}
+    },
+    {
+      "index": 7679,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7680,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7681,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7682,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7682.png",
+      "answer": "8",
+      "fact_expr": "C: Hyperbola;A: Point;P: Point;F: Point;Coordinate(A) = (0, 3);LeftFocus(C) = F;Expression(C)=(x^2/4-y^2/3=1);PointOnCurve(P,RightPart(C))",
+      "coords": {
+        "A": [
+          0.0,
+          3.0
+        ]
+      }
+    },
+    {
+      "index": 7683,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7683.png",
+      "answer": "y = pm*2*x",
+      "fact_expr": "l: Line;G: Hyperbola;b: Number;a: Number;P: Point;F1: Point;F2: Point;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(G) = F1;RightFocus(G) = F2;PointOnCurve(F1, l);Slope(l) = 2;Intersection(l, LeftPart(G)) = P;IsPerpendicular(LineOf(P, F2), l)",
+      "coords": {}
+    },
+    {
+      "index": 7684,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7684.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - y^2 = a^2);a>0;a: Number;H: Parabola;Expression(H) = (y^2 = 4*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7685,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7685.png",
+      "answer": "-1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);P: Point;Coordinate(P) = (4, 4);PointOnCurve(P, G) = True;PointOnCurve(P, LineOf(P, A)) = True;PointOnCurve(P, LineOf(P, B)) = True;Intersection(LineOf(P, A), G) = A;Intersection(LineOf(P, B), G) = B;A: Point;Coordinate(A) = (x1, y1);x1: Number;y1: Number;B: Point;Coordinate(B) = (x2, y2);x2: Number;y2: Number;Slope(LineOf(P, A))+Slope(LineOf(P, B)) = 0",
+      "coords": {
+        "P": [
+          4.0,
+          4.0
+        ]
+      }
+    },
+    {
+      "index": 7686,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7686.png",
+      "answer": "2*sqrt(3)/3",
+      "fact_expr": "G: Hyperbola;b: Number;H: Circle;C: Point;E: Point;D: Point;F: Point;b>0;Expression(G) = (x^2/9 - y^2/b^2 = 1);Expression(H) = (x^2 + y^2 = 9);L1:Line;L2:Line;TangentOfPoint(F, H) = {L1,L2};RightFocus(G)=F;TangentPoint(L1,H)=C;TangentPoint(L2,H)=D;RightVertex(G)=E;AngleOf(C, E, D) = ApplyUnit(150, degree)",
+      "coords": {}
+    },
+    {
+      "index": 7687,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7687.png",
+      "answer": "(\\sqrt{3}+1)/2",
+      "fact_expr": "G: Hyperbola;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a>0;b>0;P: Point;PointOnCurve(P, RightPart(G));F2: Point;RightFocus(G) = F2;Slope(LineOf(P, F2)) = sqrt(3);M: Point;MidPoint(LineSegmentOf(P, F2)) = M;O: Origin;Abs(LineSegmentOf(O, F2)) = Abs(LineSegmentOf(F2, M))",
+      "coords": {}
+    },
+    {
+      "index": 7688,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7688.png",
+      "answer": "(\\sqrt{2}/2,1)",
+      "fact_expr": "A2: Point;A1: Point;C: Ellipse;Expression(C) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;LeftVertex(C) = A1;RightVertex(C) = A2;P: Point;PointOnCurve(P, C);Negation(P = A1);Negation(P = A2);IsPerpendicular(LineSegmentOf(P, O), LineSegmentOf(P, A2));O: Origin",
+      "coords": {}
+    },
+    {
+      "index": 7689,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7690,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_7690.png",
+      "answer": "x^2 - y^2/4 = 1",
+      "fact_expr": "G: Hyperbola;H: Point;Coordinate(H) = (sqrt(5), 0);Expression(Asymptote(G)) = (y = pm*2*x);OneOf(Focus(G))=H",
+      "coords": {
+        "H": [
+          2.23606797749979,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7691,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7692,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 7.0,
+        "b": 4.898979485566356,
+        "major_axis": "x",
+        "x_coef": 49.0,
+        "y_coef": 24.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7692.png",
+      "answer": "24",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/49 + y^2/24 = 1);P: Point;PointOnCurve(P, G);F1: Point;F2: Point;Focus(G) = {F1, F2};IsPerpendicular(LineSegmentOf(P, F1), LineSegmentOf(P, F2))",
+      "coords": {}
+    },
+    {
+      "index": 7693,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.2631799883090584,
+        "b": 2.5275303393962245,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 4.481942266905428e-06,
+        "converged": true,
+        "iterations": 95
+      },
+      "output_path": "results/train/hyperbola/problem_7693.png",
+      "answer": "x^2/16 - y^2/64 = 1",
+      "fact_expr": "G: Hyperbola;Expression(OneOf(Asymptote(G))) = (y = 2*x);H: Point;Coordinate(H) = (4, 0);PointOnCurve(H, OneOf(Asymptote(G)))",
+      "coords": {
+        "H": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7694,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.25,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7694.png",
+      "answer": "1/2",
+      "fact_expr": "G: Parabola;Expression(G) = (x^2 = y)",
+      "coords": {}
+    },
+    {
+      "index": 7695,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0599746704101562,
+        "b": 2.576634645462036,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 9.342352313979063e-07,
+        "converged": true,
+        "iterations": 116
+      },
+      "output_path": "results/train/hyperbola/problem_7695.png",
+      "answer": "4*sqrt(3)",
+      "fact_expr": "C: Hyperbola;m: Number;F1: Point;F2: Point;M: Point;m>0;Expression(C) = (-y^2/4 + x^2/m = 1);Coordinate(F1) = (-4, 0);Coordinate(F2) = (4, 0);Focus(C) = {F1, F2};PointOnCurve(M, C);AngleOf(F1, M, F2) = ApplyUnit(60, degree)",
+      "coords": {
+        "F1": [
+          -4.0,
+          0.0
+        ],
+        "F2": [
+          4.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7696,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7696.png",
+      "answer": "(2,pm*2*sqrt(2))",
+      "fact_expr": "G: Parabola;H: Line;A: Point;F: Point;B: Point;Expression(G) = (y^2 = 4*x);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};VectorOf(A, F) = 2*VectorOf(F, B)",
+      "coords": {}
+    },
+    {
+      "index": 7697,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.23606797749979,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 5.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7697.png",
+      "answer": "x^2/10 + y^2/8 = 1 (the answer is not unique)",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/5 + y^2/3 = 1);C1: Ellipse;Focus(C) = Focus(C1)",
+      "coords": {}
+    },
+    {
+      "index": 7698,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7698.png",
+      "answer": "3",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/16 - y^2/9 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7699,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7699.png",
+      "answer": "4",
+      "fact_expr": "G: Parabola;H: Line;A: Point;B: Point;C: Point;F: Point;Expression(G) = (x^2 = 4*y);Focus(G) = F;PointOnCurve(F, H);Intersection(H, G) = {A, B};Intersection(TangentOnPoint(A,G),TangentOnPoint(B,G))=C",
+      "coords": {}
+    },
+    {
+      "index": 7700,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7700.png",
+      "answer": "y^2=4*x",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;H: Circle;p>0;Expression(H) = (-6*x + x^2 + y^2 - 7 = 0);IsTangent(H,Directrix(G))",
+      "coords": {}
+    },
+    {
+      "index": 7701,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 4.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 16.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7701.png",
+      "answer": "9*x + 8*y - 26 = 0",
+      "fact_expr": "G: Ellipse;H: LineSegment;M: Point;Expression(G) = (x^2/16 + y^2/9 = 1);Coordinate(M) = (2, 1);IsChordOf(H, G);MidPoint(H) = M;PointOnCurve(M, H)",
+      "coords": {
+        "M": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7702,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7702.png",
+      "answer": "2",
+      "fact_expr": "G: Parabola;p: Number;P: Point;Q: Point;F: Point;t: Real;l:Line;p>0;Expression(G) = (x^2 = 2*p*y);Coordinate(P) = (4, t);Focus(G) = F;Directrix(G)=l;Intersection(l, yAxis) = Q;PointOnCurve(P,G);LineSegmentOf(P,Q)=sqrt(2)*LineSegmentOf(P,F)",
+      "coords": {}
+    },
+    {
+      "index": 7703,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 8.660254037844387,
+        "b": 5.0,
+        "major_axis": "y",
+        "x_coef": 25.0,
+        "y_coef": 75.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7703.png",
+      "answer": "(1/2, -1/2)",
+      "fact_expr": "G: Ellipse;H: Line;l: LineSegment;M: Point;Expression(G) = (x^2/25 + y^2/75 = 1);Expression(H) = (x = 1/2);Slope(l) = 3;IsChordOf(l, G);MidPoint(l) = M;Intersection(G, H) = M",
+      "coords": {}
+    },
+    {
+      "index": 7704,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7704.png",
+      "answer": "sqrt(3)/4",
+      "fact_expr": "C: Ellipse;G: Line;B: Point;A: Point;F: Point;M: Point;Expression(C) = (x^2/4 + y^2/3 = 1);Coordinate(F) = (1, 0);PointOnCurve(F, G);Intersection(G, C) = {A, B};MidPoint(LineSegmentOf(A,B))=M",
+      "coords": {
+        "F": [
+          1.0,
+          0.0
+        ]
+      }
+    },
+    {
+      "index": 7705,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7706,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 6.0,
+        "b": 3.0,
+        "major_axis": "x",
+        "x_coef": 36.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7706.png",
+      "answer": "2",
+      "fact_expr": "C: Ellipse;F1: Point;F2: Point;M: Point;N: Point;O: Origin;Expression(C) = (x^2/36 + y^2/9 = 1);LeftFocus(C) = F1;RightFocus(C) = F2;PointOnCurve(M, C);MidPoint(LineSegmentOf(M, F1)) = N;Abs(LineSegmentOf(M, N)) = 4",
+      "coords": {}
+    },
+    {
+      "index": 7707,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7708,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 1.7320508075688772,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7708.png",
+      "answer": "9",
+      "fact_expr": "F2: Point;RightFocus(C) = F2;C: Hyperbola;Expression(C) = (x^2/9 - y^2/3 = 1);A: Point;PointOnCurve(A, LeftPart(C));B: Point;PointOnCurve(B, E);E: Circle;Expression(E) = (x^2 + (y + 2)^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7709,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7709.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Parabola;Expression(G) = (y = x^2/2);F: Point;Focus(G) = F;l: Line;Directrix(G) = l;M: Point;PointOnCurve(M, l);N: Point;Intersection(LineSegmentOf(M, F), G) = N;Abs(LineSegmentOf(M, N)) = sqrt(2)*Abs(LineSegmentOf(N, F))",
+      "coords": {}
+    },
+    {
+      "index": 7710,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7711,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7711.png",
+      "answer": "x=-1",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 2*p*x);p: Number;Coordinate(Focus(G)) = (1, 0)",
+      "coords": {}
+    },
+    {
+      "index": 7712,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7712.png",
+      "answer": "sqrt(3)",
+      "fact_expr": "C: Ellipse;M: Point;P: Point;F: Point;x1: Number;y1: Number;Expression(C) = (x^2/25 + y^2/16 = 1);Coordinate(P) = (x1, y1);PointOnCurve(P, C);RightFocus(C) = F;Abs(LineSegmentOf(M, F)) = 1;IsPerpendicular(LineSegmentOf(M, P), LineSegmentOf(M, F))",
+      "coords": {}
+    },
+    {
+      "index": 7713,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7713.png",
+      "answer": "8",
+      "fact_expr": "l: Line;C: Parabola;A: Point;B: Point;F: Point;Expression(C) = (y^2 = 4*x);Focus(C) = F;Expression(l) = (y = x - 1);Intersection(l, C) = {A, B}",
+      "coords": {}
+    },
+    {
+      "index": 7714,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 1.4142135623730951,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7714.png",
+      "answer": "y=sqrt(2)*x+1",
+      "fact_expr": "C: Hyperbola;G: Line;Expression(C) = (x^2 - y^2/2 = 1);IsParallel(Asymptote(C),G);Slope(G)>0",
+      "coords": {}
+    },
+    {
+      "index": 7715,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7715.png",
+      "answer": "sqrt(2)/2",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;F: Point;LeftFocus(G) = F;P: Point;PointOnCurve(P, G);IsPerpendicular(LineSegmentOf(P, F), xAxis);O: Origin;A: Point;B: Point;RightVertex(G) = A;UpperVertex(G) = B;IsParallel(LineSegmentOf(O, P), LineSegmentOf(A, B))",
+      "coords": {}
+    },
+    {
+      "index": 7716,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 0.5,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7716.png",
+      "answer": "(1/2,1)",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 2*x);Coordinate(A) = (3, 1);PointOnCurve(P, G);Focus(G)=F;WhenMin(Abs(LineSegmentOf(P,F))+Abs(LineSegmentOf(P,A)))",
+      "coords": {
+        "A": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7717,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7718,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.3300262689590454,
+        "b": 2.30381441116333,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 6.658357051492203e-06,
+        "converged": true,
+        "iterations": 122
+      },
+      "output_path": "results/train/hyperbola/problem_7718.png",
+      "answer": "x^2/9 - y^2/27 = 1",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Parabola;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (y^2 = 24*x);Expression(OneOf(Asymptote(G))) = (y = sqrt(3)*x);PointOnCurve(OneOf(Focus(G)), Directrix(H))",
+      "coords": {}
+    },
+    {
+      "index": 7719,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7719.png",
+      "answer": "-3/4",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/4 + y^2/3 = 1);Endpoint(MajorAxis(G)) = {M,N};M: Point;N: Point;P: Point;PointOnCurve(P, G) = True",
+      "coords": {}
+    },
+    {
+      "index": 7720,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7721,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 8.0,
+        "b": 6.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7721.png",
+      "answer": "33",
+      "fact_expr": "G: Hyperbola;P: Point;F1: Point;F2: Point;Expression(G) = (x^2/64 - y^2/36 = 1);PointOnCurve(P, G);Focus(G) = {F1, F2};Abs(LineSegmentOf(P, F1)) = 17",
+      "coords": {}
+    },
+    {
+      "index": 7722,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7722.png",
+      "answer": "2",
+      "fact_expr": "G: Hyperbola;b: Number;a: Number;H: Curve;a>0;b>0;Expression(G) = (-y^2/b^2 + x^2/a^2 = 1);Expression(H) = (-4*x + x^2 + y^2 + 1 = 0);IsTangent(Asymptote(G), H)",
+      "coords": {}
+    },
+    {
+      "index": 7723,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 3.1622776601683795,
+        "b": 2.449489742783178,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7723.png",
+      "answer": "y^0 = -16 * x",
+      "fact_expr": "C: Hyperbola;G: Parabola;O: Origin;Expression(C) = (x^2/10 - y^2/6 = 1);Vertex(G)=O;SymmetryAxis(G)=xAxis;Focus(G)=LeftFocus(C)",
+      "coords": {}
+    },
+    {
+      "index": 7724,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7724.png",
+      "answer": "y = pm*(1/2)*x",
+      "fact_expr": "E: Hyperbola;Expression(E) = (x^2/4 - y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7725,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7726,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.449489742783178,
+        "b": 2.0,
+        "major_axis": "x",
+        "x_coef": 6.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7726.png",
+      "answer": "2*sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2/6 + y^2/4 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7727,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7728,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7728.png",
+      "answer": "x^2=sqrt(2)*y",
+      "fact_expr": "C1: Parabola;Expression(C1) = (y^2=4*x);C2: Parabola;Expression(C2) = (x^2=2*p*y);p: Number;p>0;O: Origin;Intersection(C1,C2) = A;A: Point;Negation(A=O);Distance(A,Focus(C1)) = 3",
+      "coords": {}
+    },
+    {
+      "index": 7729,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 3.0,
+        "b": 2.0,
+        "major_axis": "y",
+        "x_coef": 4.0,
+        "y_coef": 9.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7729.png",
+      "answer": "4",
+      "fact_expr": "G: Ellipse;P: Point;F2: Point;F1: Point;Expression(G)=(x^2/4+y^2/9=1);LeftFocus(G)=F1;RightFocus(G)=F2;PointOnCurve(P,G)",
+      "coords": {}
+    },
+    {
+      "index": 7730,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7731,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7731.png",
+      "answer": "3",
+      "fact_expr": "G: Parabola;A: Point;P: Point;F: Point;Expression(G) = (y^2 = 4*x);Coordinate(A) = (2, 2);Focus(G) = F;PointOnCurve(P, G)",
+      "coords": {
+        "A": [
+          2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7732,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7733,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.4142135623730951,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7733.png",
+      "answer": "(-1, -\\sqrt{2}/2) + (-\\sqrt{2}/2, \\sqrt{2}/2) + (\\sqrt{2}/2, 1)",
+      "fact_expr": "C: Hyperbola;l: Line;k: Number;A: Point;B: Point;Expression(l) = (y = k*x + 1);Expression(C) = (x^2/2 - y^2 = 1);Intersection(l, C) = {A, B};Negation(A = B)",
+      "coords": {}
+    },
+    {
+      "index": 7734,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7735,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7735.png",
+      "answer": "3",
+      "fact_expr": "C: Ellipse;Expression(C) = (x^2/4 + y^2/3 = 1);RightFocus(C) = F;F: Point;O: Origin;l: Line;PointOnCurve(O,l) = True;Intersection(l,C) = {A,B};B: Point;A: Point;LineSegmentOf(A, F) = 1",
+      "coords": {}
+    },
+    {
+      "index": 7736,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7736.png",
+      "answer": "16",
+      "fact_expr": "l: Line;G: Parabola;M: Point;N: Point;A: Point;B: Point;Expression(G) = (y^2 = 8*x);Coordinate(M) = (2, 0);Coordinate(N) = (3, 1);PointOnCurve(M, l);PointOnCurve(N,l);Intersection(l,G)={A,B}",
+      "coords": {
+        "M": [
+          2.0,
+          0.0
+        ],
+        "N": [
+          3.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7737,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7737.png",
+      "answer": "(\\sqrt{6}/2,0)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2 - 2*y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7738,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7738.png",
+      "answer": "100",
+      "fact_expr": "T: Point;Coordinate(T) = (-2, 2);TangentOfPoint(T,C) = {l1,l2};l1: Line;l2: Line;C: Parabola;Expression(C) = (y^2 = 2*p*x);p: Number;TangentPoint(l1,C) = A;TangentPoint(l2,C) = B;A: Point;B: Point;Focus(C) = F;F: Point;PointOnCurve(F,LineOf(A,B)) = True",
+      "coords": {
+        "T": [
+          -2.0,
+          2.0
+        ]
+      }
+    },
+    {
+      "index": 7739,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7739.png",
+      "answer": "6",
+      "fact_expr": "G: Hyperbola;m: Number;H: Parabola;Expression(G) = (-y^2/3 + x^2/m = 1);Expression(H) = (y^2 = 12*x);RightFocus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7740,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true
+      },
+      "output_path": "results/train/parabola/problem_7740.png",
+      "answer": "(2,2*sqrt(2))",
+      "fact_expr": "C: Parabola;p: Number;G: Circle;P: Point;F: Point;Expression(C) = (y^2 = 2*(p*x));Expression(G) = (-2*x + x^2 + y^2 = 0);Quadrant(P) = 1;PointOnCurve(P, C);LineSegmentOf(P, F) = 3;Focus(C)=F;Center(G)=F",
+      "coords": {}
+    },
+    {
+      "index": 7741,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.7320508075688772,
+        "major_axis": "x",
+        "x_coef": 4.0,
+        "y_coef": 3.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7741.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (y^2/b^2 + x^2/a^2 = 1);b: Number;a: Number;a > b;b > 0;O: Origin;PointOnCurve(O, L) = True;Inclination(L) = pi/6;Intersection(L, G) = {P, Q};Q: Point;P: Point;L: Line;IsDiameter(LineSegmentOf(P, Q), H) = True;H: Circle;F: Point;RightFocus(G) = F;PointOnCurve(F, H) = True",
+      "coords": {}
+    },
+    {
+      "index": 7742,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7742.png",
+      "answer": "1/5",
+      "fact_expr": "G: Parabola;Expression(G) = (y^2 = 4*x);H: Line;Expression(H) = (y = 2*x - 4);A: Point;B: Point;Intersection(G, H) = {A, B};C: Point;PointOnCurve(C, G);O: Origin;lambda: Real;VectorOf(O, A) + VectorOf(O, B) = lambda*VectorOf(O, C)",
+      "coords": {}
+    },
+    {
+      "index": 7743,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 5.0,
+        "b": 4.0,
+        "major_axis": "x",
+        "x_coef": 25.0,
+        "y_coef": 16.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7743.png",
+      "answer": "12/5",
+      "fact_expr": "Gamma: Ellipse;Expression(Gamma) = (x^2/25 + y^2/16 = 1);P: Point;l1: Line;l2: Line;PointOnCurve(P,l1) = True;PointOnCurve(P,l2) = True;IsPerpendicular(l1,l2) = True;Intersection(l1,Gamma) = {A,B};A: Point;B: Point;Intersection(l2,Gamma) = {C,D};C: Point;D: Point;O: Origin;1/(Abs(LineSegmentOf(C, P))*Abs(LineSegmentOf(D, P))) + 1/(Abs(LineSegmentOf(A, P))*Abs(LineSegmentOf(B, P))) = 41/256",
+      "coords": {}
+    },
+    {
+      "index": 7744,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7745,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7745.png",
+      "answer": "4/3",
+      "fact_expr": "G: Hyperbola;a: Number;H: Ellipse;Expression(G) = (-y^2/7 + x^2/a = 1);Expression(H) = (x^2/25 + y^2/9 = 1);Focus(G) = Focus(H)",
+      "coords": {}
+    },
+    {
+      "index": 7746,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7747,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 1.0,
+        "direction": "right"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7747.png",
+      "answer": "3",
+      "fact_expr": "C: Curve;Expression(C) = (y^2 = 4*x);F: Point;Focus(C) = F;G: Parabola;P: Point;PointOnCurve(P, G) = True;A: Point;Coordinate(A) = (2, 1)",
+      "coords": {
+        "A": [
+          2.0,
+          1.0
+        ]
+      }
+    },
+    {
+      "index": 7748,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7749,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 1.0,
+        "b": 0.7071067811865476,
+        "major_axis": "y",
+        "x_coef": 0.5,
+        "y_coef": 1.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7749.png",
+      "answer": "sqrt(2)",
+      "fact_expr": "G: Ellipse;Expression(G) = (2*x^2 + y^2 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7750,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.8284271247461903,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7750.png",
+      "answer": "16/7",
+      "fact_expr": "C: Hyperbola;Expression(C) = (x^2/8 - y^2 = 1);RightFocus(C) = F;F: Point;Asymptote(C) = {l1,l2};l1: Line;l2: Line;PointOnCurve(F,l) = True;l: Line;Intersection(l,l1) = A;Intersection(l,l2) = B;A: Point;B: Point;IsPerpendicular(LineSegmentOf(A,B),l2) = True",
+      "coords": {}
+    },
+    {
+      "index": 7751,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "vertical"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7751.png",
+      "answer": "3",
+      "fact_expr": "H: Ellipse;Expression(H) = (x^2/4 + y^2/a^2 = 1);a: Number;G: Hyperbola;Expression(G) = (y^2/2 - x^2/a = 1);Focus(H) = Focus(G)",
+      "coords": {}
+    },
+    {
+      "index": 7752,
+      "success": false,
+      "error": "Unsupported or unparseable expression"
+    },
+    {
+      "index": 7753,
+      "success": true,
+      "conic_type": "ellipse",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.0,
+        "major_axis": "y",
+        "x_coef": 1.0,
+        "y_coef": 4.0
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/ellipse/problem_7753.png",
+      "answer": "sqrt(6)/3",
+      "fact_expr": "G: Ellipse;Expression(G) = (x^2 + y^2/3 = 1)",
+      "coords": {}
+    },
+    {
+      "index": 7754,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 2.0,
+        "b": 1.5,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7754.png",
+      "answer": "(1,\\sqrt{5}]",
+      "fact_expr": "C: Hyperbola;b: Number;a: Number;F1: Point;F2: Point;O: Origin;M: Point;a>0;b>0;Expression(C) = (-y^2/b^2 + x^2/a^2 = 1);LeftFocus(C) =F1;RightFocus(C)=F2;PointOnCurve(M, RightPart(C));Abs(LineSegmentOf(F1, F2)) = 2*Abs(LineSegmentOf(O, M));Tan(AngleOf(M, F2, F1)) >= 2",
+      "coords": {}
+    },
+    {
+      "index": 7755,
+      "success": true,
+      "conic_type": "parabola",
+      "error": null,
+      "params": {
+        "p": 2.0,
+        "direction": "up"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/parabola/problem_7755.png",
+      "answer": "10",
+      "fact_expr": "G: Parabola;P: Point;Expression(G) = (x^2 = 8*y);PointOnCurve(P, G);Distance(P, Focus(G)) = 12",
+      "coords": {}
+    },
+    {
+      "index": 7756,
+      "success": true,
+      "conic_type": "hyperbola",
+      "error": null,
+      "params": {
+        "a": 1.7320508075688772,
+        "b": 1.0,
+        "orientation": "horizontal"
+      },
+      "optimization": {
+        "final_loss": 0.0,
+        "converged": true,
+        "note": "using explicit params"
+      },
+      "output_path": "results/train/hyperbola/problem_7756.png",
+      "answer": "5+2*sqrt(3)",
+      "fact_expr": "G: Hyperbola;Expression(G) = (x^2/3 - y^2 = 1);F1: Point;F2: Point;LeftFocus(G) = F1;RightFocus(G) = F2;P: Point;PointOnCurve(P, RightPart(G));Q: Point;Coordinate(Q) = (-2, 3)",
+      "coords": {
+        "Q": [
+          -2.0,
+          3.0
+        ]
+      }
+    }
+  ]
+}
\ No newline at end of file